TSTP Solution File: KLE078+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE078+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 02:15:04 EDT 2022
% Result : Theorem 132.42s 132.57s
% Output : CNFRefutation 132.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 109
% Number of leaves : 361
% Syntax : Number of formulae : 1646 ( 846 unt; 0 def)
% Number of atoms : 2799 (2757 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2304 (1151 ~;1141 |; 6 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 2746 ( 84 sgn 87 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = 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(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
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(domain4,axiom,
domain(zero) = zero ).
fof(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ).
fof(goals,conjecture,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> domain(antidomain(X0)) = antidomain(X0) ) ).
fof(subgoal_0,plain,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> domain(antidomain(X0)) = antidomain(X0) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> domain(antidomain(X0)) = antidomain(X0) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X0] : domain(antidomain(X0)) != antidomain(X0)
& ! [X1] : addition(domain(X1),antidomain(X1)) = one
& ! [X1] : multiplication(domain(X1),antidomain(X1)) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X0] : domain(antidomain(X0)) != antidomain(X0),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
domain(antidomain(skolemFOFtoCNF_X0)) != antidomain(skolemFOFtoCNF_X0),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_6,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_8,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_12,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_14,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_16,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_18,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_20,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_22,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = one,
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_24,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_26,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_28,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_30,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_34,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_35,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = zero,
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
domain(zero) = zero,
inference(canonicalize,[],[domain4]) ).
cnf(refute_0_0,plain,
domain(antidomain(skolemFOFtoCNF_X0)) != antidomain(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
multiplication(domain(B),addition(B,C)) = addition(multiplication(domain(B),B),multiplication(domain(B),C)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(B)))]]) ).
cnf(refute_0_3,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) = multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(addition(X_20,X_21)))]]) ).
cnf(refute_0_5,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
addition(domain(X0),domain(X1)) = addition(domain(X1),domain(X0)),
inference(subst,[],[refute_0_6:[bind(A,$fot(domain(X0))),bind(B,$fot(domain(X1)))]]) ).
cnf(refute_0_8,plain,
( addition(domain(X0),domain(X1)) != addition(domain(X1),domain(X0))
| domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| domain(addition(X0,X1)) = addition(domain(X1),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) ),[1],$fot(addition(domain(X1),domain(X0)))]]) ).
cnf(refute_0_9,plain,
( domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| domain(addition(X0,X1)) = addition(domain(X1),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X1)),addition(domain(X1),domain(X0))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| addition(domain(X0),domain(X1)) = domain(addition(X0,X1)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(addition(X0,X1)))),bind(Y,$fot(addition(domain(X0),domain(X1))))]]) ).
cnf(refute_0_15,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) )],[refute_0_5,refute_0_14]) ).
cnf(refute_0_16,plain,
addition(domain(X1),domain(X0)) = domain(addition(X1,X0)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_17,plain,
( addition(domain(X1),domain(X0)) != domain(addition(X1,X0))
| domain(addition(X0,X1)) != addition(domain(X1),domain(X0))
| domain(addition(X0,X1)) = domain(addition(X1,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X1),domain(X0))) ),[1],$fot(domain(addition(X1,X0)))]]) ).
cnf(refute_0_18,plain,
( domain(addition(X0,X1)) != addition(domain(X1),domain(X0))
| domain(addition(X0,X1)) = domain(addition(X1,X0)) ),
inference(resolve,[$cnf( $equal(addition(domain(X1),domain(X0)),domain(addition(X1,X0))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
domain(addition(X0,X1)) = domain(addition(X1,X0)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X1),domain(X0))) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
domain(addition(X_20,X_21)) = domain(addition(X_21,X_20)),
inference(subst,[],[refute_0_19:[bind(X0,$fot(X_20)),bind(X1,$fot(X_21))]]) ).
cnf(refute_0_21,plain,
( addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) != multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))
| domain(addition(X_20,X_21)) != domain(addition(X_21,X_20))
| addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) = multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) ),[1,0],$fot(domain(addition(X_21,X_20)))]]) ).
cnf(refute_0_22,plain,
( addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) != multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))
| addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) = multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_20,X_21)),domain(addition(X_21,X_20))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) = multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21)),
inference(resolve,[$cnf( $equal(addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) )],[refute_0_4,refute_0_22]) ).
cnf(refute_0_24,plain,
( addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) != multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))
| addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) != multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21))
| multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21)) = multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))),multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21))) ),[0],$fot(multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21)))]]) ).
cnf(refute_0_25,plain,
( addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) != multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21))
| multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21)) = multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))) )],[refute_0_4,refute_0_24]) ).
cnf(refute_0_26,plain,
multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21)) = multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21)),
inference(resolve,[$cnf( $equal(addition(addition(X_20,X_21),multiplication(domain(addition(X_20,X_21)),addition(X_20,X_21))),multiplication(domain(addition(X_21,X_20)),addition(X_20,X_21))) )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
multiplication(domain(addition(zero,X_256)),addition(zero,X_256)) = multiplication(domain(addition(X_256,zero)),addition(zero,X_256)),
inference(subst,[],[refute_0_26:[bind(X_20,$fot(zero)),bind(X_21,$fot(X_256))]]) ).
cnf(refute_0_28,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_29,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_6:[bind(B,$fot(zero))]]) ).
cnf(refute_0_30,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_31,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
addition(zero,X_256) = X_256,
inference(subst,[],[refute_0_32:[bind(A,$fot(X_256))]]) ).
cnf(refute_0_34,plain,
( addition(zero,X_256) != X_256
| multiplication(domain(addition(zero,X_256)),addition(zero,X_256)) != multiplication(domain(addition(X_256,zero)),addition(zero,X_256))
| multiplication(domain(addition(zero,X_256)),X_256) = multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(zero,X_256)),addition(zero,X_256)),multiplication(domain(addition(X_256,zero)),addition(zero,X_256))) ),[0,1],$fot(X_256)]]) ).
cnf(refute_0_35,plain,
( multiplication(domain(addition(zero,X_256)),addition(zero,X_256)) != multiplication(domain(addition(X_256,zero)),addition(zero,X_256))
| multiplication(domain(addition(zero,X_256)),X_256) = multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) ),
inference(resolve,[$cnf( $equal(addition(zero,X_256),X_256) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiplication(domain(addition(zero,X_256)),X_256) = multiplication(domain(addition(X_256,zero)),addition(zero,X_256)),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(zero,X_256)),addition(zero,X_256)),multiplication(domain(addition(X_256,zero)),addition(zero,X_256))) )],[refute_0_27,refute_0_35]) ).
cnf(refute_0_37,plain,
domain(addition(zero,X_256)) = domain(addition(zero,X_256)),
introduced(tautology,[refl,[$fot(domain(addition(zero,X_256)))]]) ).
cnf(refute_0_38,plain,
( addition(zero,X_256) != X_256
| domain(addition(zero,X_256)) != domain(addition(zero,X_256))
| domain(addition(zero,X_256)) = domain(X_256) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(zero,X_256)),domain(addition(zero,X_256))) ),[1,0],$fot(X_256)]]) ).
cnf(refute_0_39,plain,
( addition(zero,X_256) != X_256
| domain(addition(zero,X_256)) = domain(X_256) ),
inference(resolve,[$cnf( $equal(domain(addition(zero,X_256)),domain(addition(zero,X_256))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
domain(addition(zero,X_256)) = domain(X_256),
inference(resolve,[$cnf( $equal(addition(zero,X_256),X_256) )],[refute_0_33,refute_0_39]) ).
cnf(refute_0_41,plain,
multiplication(domain(addition(zero,X_256)),X_256) = multiplication(domain(addition(zero,X_256)),X_256),
introduced(tautology,[refl,[$fot(multiplication(domain(addition(zero,X_256)),X_256))]]) ).
cnf(refute_0_42,plain,
( domain(addition(zero,X_256)) != domain(X_256)
| multiplication(domain(addition(zero,X_256)),X_256) != multiplication(domain(addition(zero,X_256)),X_256)
| multiplication(domain(addition(zero,X_256)),X_256) = multiplication(domain(X_256),X_256) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(zero,X_256)),X_256),multiplication(domain(addition(zero,X_256)),X_256)) ),[1,0],$fot(domain(X_256))]]) ).
cnf(refute_0_43,plain,
( domain(addition(zero,X_256)) != domain(X_256)
| multiplication(domain(addition(zero,X_256)),X_256) = multiplication(domain(X_256),X_256) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(zero,X_256)),X_256),multiplication(domain(addition(zero,X_256)),X_256)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
multiplication(domain(addition(zero,X_256)),X_256) = multiplication(domain(X_256),X_256),
inference(resolve,[$cnf( $equal(domain(addition(zero,X_256)),domain(X_256)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
( multiplication(domain(addition(zero,X_256)),X_256) != multiplication(domain(X_256),X_256)
| multiplication(domain(addition(zero,X_256)),X_256) != multiplication(domain(addition(X_256,zero)),addition(zero,X_256))
| multiplication(domain(X_256),X_256) = multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(zero,X_256)),X_256),multiplication(domain(addition(X_256,zero)),addition(zero,X_256))) ),[0],$fot(multiplication(domain(X_256),X_256))]]) ).
cnf(refute_0_46,plain,
( multiplication(domain(addition(zero,X_256)),X_256) != multiplication(domain(addition(X_256,zero)),addition(zero,X_256))
| multiplication(domain(X_256),X_256) = multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(zero,X_256)),X_256),multiplication(domain(X_256),X_256)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(addition(X_255,X_256)))]]) ).
cnf(refute_0_48,plain,
multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256)) = multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)),
inference(subst,[],[refute_0_26:[bind(X_20,$fot(X_255)),bind(X_21,$fot(X_256))]]) ).
cnf(refute_0_49,plain,
( addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) != multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))
| multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256)) != multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))
| addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))),multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))) ),[0],$fot(multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256)))]]) ).
cnf(refute_0_50,plain,
( addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) != multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))
| addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256)),multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)),
inference(resolve,[$cnf( $equal(addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_53,plain,
multiplication(one,addition(X_255,X_256)) = addition(X_255,X_256),
inference(subst,[],[refute_0_52:[bind(A,$fot(addition(X_255,X_256)))]]) ).
cnf(refute_0_54,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_55,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_56,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_6,refute_0_55]) ).
cnf(refute_0_57,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_56:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_58,plain,
( addition(domain(X0),one) != addition(one,domain(X0))
| addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),one),one) ),[0],$fot(addition(one,domain(X0)))]]) ).
cnf(refute_0_59,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(one,domain(addition(X_255,X_256))) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(addition(X_255,X_256)))]]) ).
cnf(refute_0_62,plain,
multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) = multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)))]]) ).
cnf(refute_0_63,plain,
( addition(one,domain(addition(X_255,X_256))) != one
| multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) != multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256))
| multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) = multiplication(one,addition(X_255,X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)),multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_64,plain,
( addition(one,domain(addition(X_255,X_256))) != one
| multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) = multiplication(one,addition(X_255,X_256)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)),multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) = multiplication(one,addition(X_255,X_256)),
inference(resolve,[$cnf( $equal(addition(one,domain(addition(X_255,X_256))),one) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_67,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_13,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) != multiplication(one,addition(X_255,X_256))
| multiplication(one,addition(X_255,X_256)) != addition(X_255,X_256)
| multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) = addition(X_255,X_256) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)))),bind(Y,$fot(multiplication(one,addition(X_255,X_256)))),bind(Z,$fot(addition(X_255,X_256)))]]) ).
cnf(refute_0_69,plain,
( multiplication(one,addition(X_255,X_256)) != addition(X_255,X_256)
| multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) = addition(X_255,X_256) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)),multiplication(one,addition(X_255,X_256))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) = addition(X_255,X_256),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_255,X_256)),addition(X_255,X_256)) )],[refute_0_53,refute_0_69]) ).
cnf(refute_0_71,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_72,plain,
multiplication(addition(one,X_106),X_107) = addition(multiplication(one,X_107),multiplication(X_106,X_107)),
inference(subst,[],[refute_0_71:[bind(A,$fot(one)),bind(B,$fot(X_106)),bind(C,$fot(X_107))]]) ).
cnf(refute_0_73,plain,
multiplication(one,X_107) = X_107,
inference(subst,[],[refute_0_52:[bind(A,$fot(X_107))]]) ).
cnf(refute_0_74,plain,
( multiplication(addition(one,X_106),X_107) != addition(multiplication(one,X_107),multiplication(X_106,X_107))
| multiplication(one,X_107) != X_107
| multiplication(addition(one,X_106),X_107) = addition(X_107,multiplication(X_106,X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_106),X_107),addition(multiplication(one,X_107),multiplication(X_106,X_107))) ),[1,0],$fot(X_107)]]) ).
cnf(refute_0_75,plain,
( multiplication(addition(one,X_106),X_107) != addition(multiplication(one,X_107),multiplication(X_106,X_107))
| multiplication(addition(one,X_106),X_107) = addition(X_107,multiplication(X_106,X_107)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_107),X_107) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
multiplication(addition(one,X_106),X_107) = addition(X_107,multiplication(X_106,X_107)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_106),X_107),addition(multiplication(one,X_107),multiplication(X_106,X_107))) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( multiplication(addition(one,X_106),X_107) != addition(X_107,multiplication(X_106,X_107))
| addition(X_107,multiplication(X_106,X_107)) = multiplication(addition(one,X_106),X_107) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(addition(one,X_106),X_107))),bind(Y,$fot(addition(X_107,multiplication(X_106,X_107))))]]) ).
cnf(refute_0_78,plain,
addition(X_107,multiplication(X_106,X_107)) = multiplication(addition(one,X_106),X_107),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_106),X_107),addition(X_107,multiplication(X_106,X_107))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)),
inference(subst,[],[refute_0_78:[bind(X_106,$fot(domain(addition(X_255,X_256)))),bind(X_107,$fot(addition(X_255,X_256)))]]) ).
cnf(refute_0_80,plain,
( addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) != multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256))
| multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) != addition(X_255,X_256)
| addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = addition(X_255,X_256) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))))),bind(Y,$fot(multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)))),bind(Z,$fot(addition(X_255,X_256)))]]) ).
cnf(refute_0_81,plain,
( multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)) != addition(X_255,X_256)
| addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = addition(X_255,X_256) ),
inference(resolve,[$cnf( $equal(addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))),multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) = addition(X_255,X_256),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(addition(X_255,X_256))),addition(X_255,X_256)),addition(X_255,X_256)) )],[refute_0_70,refute_0_81]) ).
cnf(refute_0_83,plain,
( addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) != addition(X_255,X_256)
| addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) != multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))
| addition(X_255,X_256) = multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))),multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))) ),[0],$fot(addition(X_255,X_256))]]) ).
cnf(refute_0_84,plain,
( addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))) != multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))
| addition(X_255,X_256) = multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))),addition(X_255,X_256)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
addition(X_255,X_256) = multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)),
inference(resolve,[$cnf( $equal(addition(addition(X_255,X_256),multiplication(domain(addition(X_255,X_256)),addition(X_255,X_256))),multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))) )],[refute_0_51,refute_0_84]) ).
cnf(refute_0_86,plain,
( addition(X_255,X_256) != multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))
| multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)) = addition(X_255,X_256) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_255,X_256))),bind(Y,$fot(multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))))]]) ).
cnf(refute_0_87,plain,
multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256)) = addition(X_255,X_256),
inference(resolve,[$cnf( $equal(addition(X_255,X_256),multiplication(domain(addition(X_256,X_255)),addition(X_255,X_256))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) = addition(zero,X_256),
inference(subst,[],[refute_0_87:[bind(X_255,$fot(zero))]]) ).
cnf(refute_0_89,plain,
( addition(zero,X_256) != X_256
| multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) != addition(zero,X_256)
| multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) = X_256 ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(addition(X_256,zero)),addition(zero,X_256)))),bind(Y,$fot(addition(zero,X_256))),bind(Z,$fot(X_256))]]) ).
cnf(refute_0_90,plain,
( addition(zero,X_256) != X_256
| multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) = X_256 ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_256,zero)),addition(zero,X_256)),addition(zero,X_256)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) = X_256,
inference(resolve,[$cnf( $equal(addition(zero,X_256),X_256) )],[refute_0_33,refute_0_90]) ).
cnf(refute_0_92,plain,
( multiplication(domain(X_256),X_256) != multiplication(domain(addition(X_256,zero)),addition(zero,X_256))
| multiplication(domain(addition(X_256,zero)),addition(zero,X_256)) != X_256
| multiplication(domain(X_256),X_256) = X_256 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(domain(X_256),X_256),X_256) ),[0],$fot(multiplication(domain(addition(X_256,zero)),addition(zero,X_256)))]]) ).
cnf(refute_0_93,plain,
( multiplication(domain(X_256),X_256) != multiplication(domain(addition(X_256,zero)),addition(zero,X_256))
| multiplication(domain(X_256),X_256) = X_256 ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_256,zero)),addition(zero,X_256)),X_256) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( multiplication(domain(addition(zero,X_256)),X_256) != multiplication(domain(addition(X_256,zero)),addition(zero,X_256))
| multiplication(domain(X_256),X_256) = X_256 ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_256),X_256),multiplication(domain(addition(X_256,zero)),addition(zero,X_256))) )],[refute_0_46,refute_0_93]) ).
cnf(refute_0_95,plain,
multiplication(domain(X_256),X_256) = X_256,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(zero,X_256)),X_256),multiplication(domain(addition(X_256,zero)),addition(zero,X_256))) )],[refute_0_36,refute_0_94]) ).
cnf(refute_0_96,plain,
multiplication(domain(B),B) = B,
inference(subst,[],[refute_0_95:[bind(X_256,$fot(B))]]) ).
cnf(refute_0_97,plain,
( multiplication(domain(B),B) != B
| multiplication(domain(B),addition(B,C)) != addition(multiplication(domain(B),B),multiplication(domain(B),C))
| multiplication(domain(B),addition(B,C)) = addition(B,multiplication(domain(B),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(B),addition(B,C)),addition(multiplication(domain(B),B),multiplication(domain(B),C))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_98,plain,
( multiplication(domain(B),addition(B,C)) != addition(multiplication(domain(B),B),multiplication(domain(B),C))
| multiplication(domain(B),addition(B,C)) = addition(B,multiplication(domain(B),C)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(B),B),B) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiplication(domain(B),addition(B,C)) = addition(B,multiplication(domain(B),C)),
inference(resolve,[$cnf( $equal(multiplication(domain(B),addition(B,C)),addition(multiplication(domain(B),B),multiplication(domain(B),C))) )],[refute_0_2,refute_0_98]) ).
cnf(refute_0_100,plain,
multiplication(domain(antidomain(X_1023)),addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023))))) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))),
inference(subst,[],[refute_0_99:[bind(B,$fot(antidomain(X_1023))),bind(C,$fot(domain(antidomain(antidomain(X_1023)))))]]) ).
cnf(refute_0_101,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_102,plain,
addition(antidomain(X1),addition(domain(X1),X_71)) = addition(addition(antidomain(X1),domain(X1)),X_71),
inference(subst,[],[refute_0_101:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1))),bind(C,$fot(X_71))]]) ).
cnf(refute_0_103,plain,
addition(domain(X1),antidomain(X1)) = one,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_104,plain,
addition(domain(X1),antidomain(X1)) = addition(antidomain(X1),domain(X1)),
inference(subst,[],[refute_0_56:[bind(A,$fot(antidomain(X1))),bind(B,$fot(domain(X1)))]]) ).
cnf(refute_0_105,plain,
( addition(domain(X1),antidomain(X1)) != addition(antidomain(X1),domain(X1))
| addition(domain(X1),antidomain(X1)) != one
| addition(antidomain(X1),domain(X1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X1),antidomain(X1)),one) ),[0],$fot(addition(antidomain(X1),domain(X1)))]]) ).
cnf(refute_0_106,plain,
( addition(domain(X1),antidomain(X1)) != one
| addition(antidomain(X1),domain(X1)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),addition(antidomain(X1),domain(X1))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
addition(antidomain(X1),domain(X1)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X1),antidomain(X1)),one) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( addition(antidomain(X1),addition(domain(X1),X_71)) != addition(addition(antidomain(X1),domain(X1)),X_71)
| addition(antidomain(X1),domain(X1)) != one
| addition(antidomain(X1),addition(domain(X1),X_71)) = addition(one,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_71)),addition(addition(antidomain(X1),domain(X1)),X_71)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_109,plain,
( addition(antidomain(X1),addition(domain(X1),X_71)) != addition(addition(antidomain(X1),domain(X1)),X_71)
| addition(antidomain(X1),addition(domain(X1),X_71)) = addition(one,X_71) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
addition(antidomain(X1),addition(domain(X1),X_71)) = addition(one,X_71),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(domain(X1),X_71)),addition(addition(antidomain(X1),domain(X1)),X_71)) )],[refute_0_102,refute_0_109]) ).
cnf(refute_0_111,plain,
addition(antidomain(X_313),addition(domain(X_313),addition(X_70,domain(X_313)))) = addition(one,addition(X_70,domain(X_313))),
inference(subst,[],[refute_0_110:[bind(X1,$fot(X_313)),bind(X_71,$fot(addition(X_70,domain(X_313))))]]) ).
cnf(refute_0_112,plain,
addition(addition(X_70,X_71),addition(X_70,X_71)) = addition(addition(addition(X_70,X_71),X_70),X_71),
inference(subst,[],[refute_0_101:[bind(A,$fot(addition(X_70,X_71))),bind(B,$fot(X_70)),bind(C,$fot(X_71))]]) ).
cnf(refute_0_113,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_114,plain,
addition(addition(X_70,X_71),addition(X_70,X_71)) = addition(X_70,X_71),
inference(subst,[],[refute_0_113:[bind(A,$fot(addition(X_70,X_71)))]]) ).
cnf(refute_0_115,plain,
( addition(addition(X_70,X_71),addition(X_70,X_71)) != addition(X_70,X_71)
| addition(addition(X_70,X_71),addition(X_70,X_71)) != addition(addition(addition(X_70,X_71),X_70),X_71)
| addition(X_70,X_71) = addition(addition(addition(X_70,X_71),X_70),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_70,X_71),addition(X_70,X_71)),addition(addition(addition(X_70,X_71),X_70),X_71)) ),[0],$fot(addition(X_70,X_71))]]) ).
cnf(refute_0_116,plain,
( addition(addition(X_70,X_71),addition(X_70,X_71)) != addition(addition(addition(X_70,X_71),X_70),X_71)
| addition(X_70,X_71) = addition(addition(addition(X_70,X_71),X_70),X_71) ),
inference(resolve,[$cnf( $equal(addition(addition(X_70,X_71),addition(X_70,X_71)),addition(X_70,X_71)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
addition(X_70,X_71) = addition(addition(addition(X_70,X_71),X_70),X_71),
inference(resolve,[$cnf( $equal(addition(addition(X_70,X_71),addition(X_70,X_71)),addition(addition(addition(X_70,X_71),X_70),X_71)) )],[refute_0_112,refute_0_116]) ).
cnf(refute_0_118,plain,
addition(X_69,addition(X_70,X_71)) = addition(addition(X_69,X_70),X_71),
inference(subst,[],[refute_0_101:[bind(A,$fot(X_69)),bind(B,$fot(X_70)),bind(C,$fot(X_71))]]) ).
cnf(refute_0_119,plain,
addition(X_71,X_70) = addition(X_70,X_71),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_71)),bind(B,$fot(X_70))]]) ).
cnf(refute_0_120,plain,
( addition(X_71,X_70) != addition(X_70,X_71)
| addition(X_70,X_71) = addition(X_71,X_70) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_71,X_70))),bind(Y,$fot(addition(X_70,X_71)))]]) ).
cnf(refute_0_121,plain,
addition(X_70,X_71) = addition(X_71,X_70),
inference(resolve,[$cnf( $equal(addition(X_71,X_70),addition(X_70,X_71)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( addition(X_69,addition(X_70,X_71)) != addition(addition(X_69,X_70),X_71)
| addition(X_70,X_71) != addition(X_71,X_70)
| addition(X_69,addition(X_71,X_70)) = addition(addition(X_69,X_70),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(X_70,X_71)),addition(addition(X_69,X_70),X_71)) ),[0,1],$fot(addition(X_71,X_70))]]) ).
cnf(refute_0_123,plain,
( addition(X_69,addition(X_70,X_71)) != addition(addition(X_69,X_70),X_71)
| addition(X_69,addition(X_71,X_70)) = addition(addition(X_69,X_70),X_71) ),
inference(resolve,[$cnf( $equal(addition(X_70,X_71),addition(X_71,X_70)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(X_69,addition(X_71,X_70)) = addition(addition(X_69,X_70),X_71),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,X_71)),addition(addition(X_69,X_70),X_71)) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_126,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_101,refute_0_125]) ).
cnf(refute_0_127,plain,
addition(addition(X_69,X_70),X_71) = addition(X_69,addition(X_70,X_71)),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_69)),bind(B,$fot(X_70)),bind(C,$fot(X_71))]]) ).
cnf(refute_0_128,plain,
( addition(X_69,addition(X_71,X_70)) != addition(addition(X_69,X_70),X_71)
| addition(addition(X_69,X_70),X_71) != addition(X_69,addition(X_70,X_71))
| addition(X_69,addition(X_71,X_70)) = addition(X_69,addition(X_70,X_71)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_69,addition(X_71,X_70)),addition(X_69,addition(X_70,X_71))) ),[0],$fot(addition(addition(X_69,X_70),X_71))]]) ).
cnf(refute_0_129,plain,
( addition(X_69,addition(X_71,X_70)) != addition(addition(X_69,X_70),X_71)
| addition(X_69,addition(X_71,X_70)) = addition(X_69,addition(X_70,X_71)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_69,X_70),X_71),addition(X_69,addition(X_70,X_71))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(X_69,addition(X_71,X_70)) = addition(X_69,addition(X_70,X_71)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_71,X_70)),addition(addition(X_69,X_70),X_71)) )],[refute_0_124,refute_0_129]) ).
cnf(refute_0_131,plain,
( addition(X_69,addition(X_71,X_70)) != addition(X_69,addition(X_70,X_71))
| addition(X_69,addition(X_70,X_71)) = addition(X_69,addition(X_71,X_70)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(X_71,X_70)))),bind(Y,$fot(addition(X_69,addition(X_70,X_71))))]]) ).
cnf(refute_0_132,plain,
addition(X_69,addition(X_70,X_71)) = addition(X_69,addition(X_71,X_70)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_71,X_70)),addition(X_69,addition(X_70,X_71))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
addition(X_71,addition(addition(X_70,X_71),X_70)) = addition(X_71,addition(X_70,addition(X_70,X_71))),
inference(subst,[],[refute_0_132:[bind(X_69,$fot(X_71)),bind(X_70,$fot(addition(X_70,X_71))),bind(X_71,$fot(X_70))]]) ).
cnf(refute_0_134,plain,
addition(A,addition(X_69,X_70)) = addition(addition(X_69,X_70),A),
inference(subst,[],[refute_0_6:[bind(B,$fot(addition(X_69,X_70)))]]) ).
cnf(refute_0_135,plain,
addition(X_69,addition(X_70,A)) = addition(addition(X_69,X_70),A),
inference(subst,[],[refute_0_101:[bind(A,$fot(X_69)),bind(B,$fot(X_70)),bind(C,$fot(A))]]) ).
cnf(refute_0_136,plain,
( addition(X_69,addition(X_70,A)) != addition(addition(X_69,X_70),A)
| addition(addition(X_69,X_70),A) = addition(X_69,addition(X_70,A)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(X_70,A)))),bind(Y,$fot(addition(addition(X_69,X_70),A)))]]) ).
cnf(refute_0_137,plain,
addition(addition(X_69,X_70),A) = addition(X_69,addition(X_70,A)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,A)),addition(addition(X_69,X_70),A)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( addition(A,addition(X_69,X_70)) != addition(addition(X_69,X_70),A)
| addition(addition(X_69,X_70),A) != addition(X_69,addition(X_70,A))
| addition(A,addition(X_69,X_70)) = addition(X_69,addition(X_70,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_69,X_70)),addition(X_69,addition(X_70,A))) ),[0],$fot(addition(addition(X_69,X_70),A))]]) ).
cnf(refute_0_139,plain,
( addition(A,addition(X_69,X_70)) != addition(addition(X_69,X_70),A)
| addition(A,addition(X_69,X_70)) = addition(X_69,addition(X_70,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_69,X_70),A),addition(X_69,addition(X_70,A))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(A,addition(X_69,X_70)) = addition(X_69,addition(X_70,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_69,X_70)),addition(addition(X_69,X_70),A)) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
( addition(A,addition(X_69,X_70)) != addition(X_69,addition(X_70,A))
| addition(X_69,addition(X_70,A)) = addition(A,addition(X_69,X_70)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(X_69,X_70)))),bind(Y,$fot(addition(X_69,addition(X_70,A))))]]) ).
cnf(refute_0_142,plain,
addition(X_69,addition(X_70,A)) = addition(A,addition(X_69,X_70)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_69,X_70)),addition(X_69,addition(X_70,A))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(addition(X_70,X_71),addition(X_70,X_71)) = addition(X_71,addition(addition(X_70,X_71),X_70)),
inference(subst,[],[refute_0_142:[bind(A,$fot(X_71)),bind(X_69,$fot(addition(X_70,X_71)))]]) ).
cnf(refute_0_144,plain,
( addition(X_71,addition(addition(X_70,X_71),X_70)) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(addition(X_70,X_71),addition(X_70,X_71)) != addition(X_71,addition(addition(X_70,X_71),X_70))
| addition(addition(X_70,X_71),addition(X_70,X_71)) = addition(X_71,addition(X_70,addition(X_70,X_71))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_70,X_71),addition(X_70,X_71)))),bind(Y,$fot(addition(X_71,addition(addition(X_70,X_71),X_70)))),bind(Z,$fot(addition(X_71,addition(X_70,addition(X_70,X_71)))))]]) ).
cnf(refute_0_145,plain,
( addition(X_71,addition(addition(X_70,X_71),X_70)) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(addition(X_70,X_71),addition(X_70,X_71)) = addition(X_71,addition(X_70,addition(X_70,X_71))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_70,X_71),addition(X_70,X_71)),addition(X_71,addition(addition(X_70,X_71),X_70))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
addition(addition(X_70,X_71),addition(X_70,X_71)) = addition(X_71,addition(X_70,addition(X_70,X_71))),
inference(resolve,[$cnf( $equal(addition(X_71,addition(addition(X_70,X_71),X_70)),addition(X_71,addition(X_70,addition(X_70,X_71)))) )],[refute_0_133,refute_0_145]) ).
cnf(refute_0_147,plain,
addition(addition(addition(X_70,X_71),X_70),X_71) = addition(addition(X_70,X_71),addition(X_70,X_71)),
inference(subst,[],[refute_0_126:[bind(A,$fot(addition(X_70,X_71))),bind(B,$fot(X_70)),bind(C,$fot(X_71))]]) ).
cnf(refute_0_148,plain,
( addition(addition(X_70,X_71),addition(X_70,X_71)) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(addition(addition(X_70,X_71),X_70),X_71) != addition(addition(X_70,X_71),addition(X_70,X_71))
| addition(addition(addition(X_70,X_71),X_70),X_71) = addition(X_71,addition(X_70,addition(X_70,X_71))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(addition(X_70,X_71),X_70),X_71))),bind(Y,$fot(addition(addition(X_70,X_71),addition(X_70,X_71)))),bind(Z,$fot(addition(X_71,addition(X_70,addition(X_70,X_71)))))]]) ).
cnf(refute_0_149,plain,
( addition(addition(X_70,X_71),addition(X_70,X_71)) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(addition(addition(X_70,X_71),X_70),X_71) = addition(X_71,addition(X_70,addition(X_70,X_71))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_70,X_71),X_70),X_71),addition(addition(X_70,X_71),addition(X_70,X_71))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
addition(addition(addition(X_70,X_71),X_70),X_71) = addition(X_71,addition(X_70,addition(X_70,X_71))),
inference(resolve,[$cnf( $equal(addition(addition(X_70,X_71),addition(X_70,X_71)),addition(X_71,addition(X_70,addition(X_70,X_71)))) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
( addition(X_70,X_71) != addition(addition(addition(X_70,X_71),X_70),X_71)
| addition(addition(addition(X_70,X_71),X_70),X_71) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(X_70,X_71) = addition(X_71,addition(X_70,addition(X_70,X_71))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_70,X_71),addition(X_71,addition(X_70,addition(X_70,X_71)))) ),[0],$fot(addition(addition(addition(X_70,X_71),X_70),X_71))]]) ).
cnf(refute_0_152,plain,
( addition(X_70,X_71) != addition(addition(addition(X_70,X_71),X_70),X_71)
| addition(X_70,X_71) = addition(X_71,addition(X_70,addition(X_70,X_71))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_70,X_71),X_70),X_71),addition(X_71,addition(X_70,addition(X_70,X_71)))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
addition(X_70,X_71) = addition(X_71,addition(X_70,addition(X_70,X_71))),
inference(resolve,[$cnf( $equal(addition(X_70,X_71),addition(addition(addition(X_70,X_71),X_70),X_71)) )],[refute_0_117,refute_0_152]) ).
cnf(refute_0_154,plain,
addition(X_70,addition(X_70,X_71)) = addition(addition(X_70,X_70),X_71),
inference(subst,[],[refute_0_101:[bind(A,$fot(X_70)),bind(B,$fot(X_70)),bind(C,$fot(X_71))]]) ).
cnf(refute_0_155,plain,
addition(X_70,X_70) = X_70,
inference(subst,[],[refute_0_113:[bind(A,$fot(X_70))]]) ).
cnf(refute_0_156,plain,
( addition(X_70,X_70) != X_70
| addition(X_70,addition(X_70,X_71)) != addition(addition(X_70,X_70),X_71)
| addition(X_70,addition(X_70,X_71)) = addition(X_70,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_70,addition(X_70,X_71)),addition(addition(X_70,X_70),X_71)) ),[1,0],$fot(X_70)]]) ).
cnf(refute_0_157,plain,
( addition(X_70,addition(X_70,X_71)) != addition(addition(X_70,X_70),X_71)
| addition(X_70,addition(X_70,X_71)) = addition(X_70,X_71) ),
inference(resolve,[$cnf( $equal(addition(X_70,X_70),X_70) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
addition(X_70,addition(X_70,X_71)) = addition(X_70,X_71),
inference(resolve,[$cnf( $equal(addition(X_70,addition(X_70,X_71)),addition(addition(X_70,X_70),X_71)) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
addition(X_71,addition(X_70,addition(X_70,X_71))) = addition(X_71,addition(X_70,addition(X_70,X_71))),
introduced(tautology,[refl,[$fot(addition(X_71,addition(X_70,addition(X_70,X_71))))]]) ).
cnf(refute_0_160,plain,
( addition(X_70,addition(X_70,X_71)) != addition(X_70,X_71)
| addition(X_71,addition(X_70,addition(X_70,X_71))) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(X_71,addition(X_70,addition(X_70,X_71))) = addition(X_71,addition(X_70,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_71,addition(X_70,addition(X_70,X_71))),addition(X_71,addition(X_70,addition(X_70,X_71)))) ),[1,1],$fot(addition(X_70,X_71))]]) ).
cnf(refute_0_161,plain,
( addition(X_70,addition(X_70,X_71)) != addition(X_70,X_71)
| addition(X_71,addition(X_70,addition(X_70,X_71))) = addition(X_71,addition(X_70,X_71)) ),
inference(resolve,[$cnf( $equal(addition(X_71,addition(X_70,addition(X_70,X_71))),addition(X_71,addition(X_70,addition(X_70,X_71)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
addition(X_71,addition(X_70,addition(X_70,X_71))) = addition(X_71,addition(X_70,X_71)),
inference(resolve,[$cnf( $equal(addition(X_70,addition(X_70,X_71)),addition(X_70,X_71)) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
( addition(X_70,X_71) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(X_71,addition(X_70,addition(X_70,X_71))) != addition(X_71,addition(X_70,X_71))
| addition(X_70,X_71) = addition(X_71,addition(X_70,X_71)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_70,X_71),addition(X_71,addition(X_70,X_71))) ),[0],$fot(addition(X_71,addition(X_70,addition(X_70,X_71))))]]) ).
cnf(refute_0_164,plain,
( addition(X_70,X_71) != addition(X_71,addition(X_70,addition(X_70,X_71)))
| addition(X_70,X_71) = addition(X_71,addition(X_70,X_71)) ),
inference(resolve,[$cnf( $equal(addition(X_71,addition(X_70,addition(X_70,X_71))),addition(X_71,addition(X_70,X_71))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
addition(X_70,X_71) = addition(X_71,addition(X_70,X_71)),
inference(resolve,[$cnf( $equal(addition(X_70,X_71),addition(X_71,addition(X_70,addition(X_70,X_71)))) )],[refute_0_153,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(X_70,domain(X_313)) = addition(domain(X_313),addition(X_70,domain(X_313))),
inference(subst,[],[refute_0_165:[bind(X_71,$fot(domain(X_313)))]]) ).
cnf(refute_0_167,plain,
( addition(X_70,domain(X_313)) != addition(domain(X_313),addition(X_70,domain(X_313)))
| addition(domain(X_313),addition(X_70,domain(X_313))) = addition(X_70,domain(X_313)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_70,domain(X_313)))),bind(Y,$fot(addition(domain(X_313),addition(X_70,domain(X_313)))))]]) ).
cnf(refute_0_168,plain,
addition(domain(X_313),addition(X_70,domain(X_313))) = addition(X_70,domain(X_313)),
inference(resolve,[$cnf( $equal(addition(X_70,domain(X_313)),addition(domain(X_313),addition(X_70,domain(X_313)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( addition(antidomain(X_313),addition(domain(X_313),addition(X_70,domain(X_313)))) != addition(one,addition(X_70,domain(X_313)))
| addition(domain(X_313),addition(X_70,domain(X_313))) != addition(X_70,domain(X_313))
| addition(antidomain(X_313),addition(X_70,domain(X_313))) = addition(one,addition(X_70,domain(X_313))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_313),addition(domain(X_313),addition(X_70,domain(X_313)))),addition(one,addition(X_70,domain(X_313)))) ),[0,1],$fot(addition(X_70,domain(X_313)))]]) ).
cnf(refute_0_170,plain,
( addition(antidomain(X_313),addition(domain(X_313),addition(X_70,domain(X_313)))) != addition(one,addition(X_70,domain(X_313)))
| addition(antidomain(X_313),addition(X_70,domain(X_313))) = addition(one,addition(X_70,domain(X_313))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_313),addition(X_70,domain(X_313))),addition(X_70,domain(X_313))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
addition(antidomain(X_313),addition(X_70,domain(X_313))) = addition(one,addition(X_70,domain(X_313))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_313),addition(domain(X_313),addition(X_70,domain(X_313)))),addition(one,addition(X_70,domain(X_313)))) )],[refute_0_111,refute_0_170]) ).
cnf(refute_0_172,plain,
addition(X_69,addition(X_70,addition(one,X_70))) = addition(addition(X_69,X_70),addition(one,X_70)),
inference(subst,[],[refute_0_101:[bind(A,$fot(X_69)),bind(B,$fot(X_70)),bind(C,$fot(addition(one,X_70)))]]) ).
cnf(refute_0_173,plain,
addition(addition(B,one),B) = addition(B,addition(B,one)),
inference(subst,[],[refute_0_6:[bind(A,$fot(addition(B,one)))]]) ).
cnf(refute_0_174,plain,
addition(addition(X_35,addition(X_35,one)),one) = addition(one,addition(X_35,addition(X_35,one))),
inference(subst,[],[refute_0_6:[bind(A,$fot(addition(X_35,addition(X_35,one)))),bind(B,$fot(one))]]) ).
cnf(refute_0_175,plain,
addition(addition(one,X_15),multiplication(domain(addition(one,X_15)),addition(one,X_15))) = multiplication(domain(addition(one,X_15)),addition(one,X_15)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(addition(one,X_15)))]]) ).
cnf(refute_0_176,plain,
domain(addition(one,X1)) = addition(domain(one),domain(X1)),
inference(subst,[],[refute_0_5:[bind(X0,$fot(one))]]) ).
cnf(refute_0_177,plain,
addition(one,multiplication(domain(one),one)) = multiplication(domain(one),one),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one))]]) ).
cnf(refute_0_178,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_179,plain,
multiplication(domain(one),one) = domain(one),
inference(subst,[],[refute_0_178:[bind(A,$fot(domain(one)))]]) ).
cnf(refute_0_180,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| multiplication(domain(one),one) != domain(one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) ),[0,1],$fot(domain(one))]]) ).
cnf(refute_0_181,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) )],[refute_0_177,refute_0_181]) ).
cnf(refute_0_183,plain,
addition(one,domain(one)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(one))]]) ).
cnf(refute_0_184,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| addition(one,domain(one)) != one
| one = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) ),[0],$fot(one)]]) ).
cnf(refute_0_185,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),one) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( multiplication(domain(one),one) != domain(one)
| one != multiplication(domain(one),one)
| one = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(one,multiplication(domain(one),one)) ),[1],$fot(domain(one))]]) ).
cnf(refute_0_187,plain,
( one != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_179,refute_0_186]) ).
cnf(refute_0_188,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(one,multiplication(domain(one),one)) )],[refute_0_185,refute_0_187]) ).
cnf(refute_0_189,plain,
one = domain(one),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) )],[refute_0_182,refute_0_188]) ).
cnf(refute_0_190,plain,
( one != domain(one)
| domain(one) = one ),
inference(subst,[],[refute_0_13:[bind(X,$fot(one)),bind(Y,$fot(domain(one)))]]) ).
cnf(refute_0_191,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(one,domain(one)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( domain(addition(one,X1)) != addition(domain(one),domain(X1))
| domain(one) != one
| domain(addition(one,X1)) = addition(one,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X1)),addition(domain(one),domain(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_193,plain,
( domain(addition(one,X1)) != addition(domain(one),domain(X1))
| domain(addition(one,X1)) = addition(one,domain(X1)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
domain(addition(one,X1)) = addition(one,domain(X1)),
inference(resolve,[$cnf( $equal(domain(addition(one,X1)),addition(domain(one),domain(X1))) )],[refute_0_176,refute_0_193]) ).
cnf(refute_0_195,plain,
addition(one,domain(X1)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_196,plain,
( addition(one,domain(X1)) != one
| domain(addition(one,X1)) != addition(one,domain(X1))
| domain(addition(one,X1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X1)),addition(one,domain(X1))) ),[1],$fot(one)]]) ).
cnf(refute_0_197,plain,
( domain(addition(one,X1)) != addition(one,domain(X1))
| domain(addition(one,X1)) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
domain(addition(one,X1)) = one,
inference(resolve,[$cnf( $equal(domain(addition(one,X1)),addition(one,domain(X1))) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
domain(addition(one,X_15)) = one,
inference(subst,[],[refute_0_198:[bind(X1,$fot(X_15))]]) ).
cnf(refute_0_200,plain,
( addition(addition(one,X_15),multiplication(domain(addition(one,X_15)),addition(one,X_15))) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| domain(addition(one,X_15)) != one
| addition(addition(one,X_15),multiplication(one,addition(one,X_15))) = multiplication(domain(addition(one,X_15)),addition(one,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_15),multiplication(domain(addition(one,X_15)),addition(one,X_15))),multiplication(domain(addition(one,X_15)),addition(one,X_15))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_201,plain,
( addition(addition(one,X_15),multiplication(domain(addition(one,X_15)),addition(one,X_15))) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| addition(addition(one,X_15),multiplication(one,addition(one,X_15))) = multiplication(domain(addition(one,X_15)),addition(one,X_15)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_15)),one) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
addition(addition(one,X_15),multiplication(one,addition(one,X_15))) = multiplication(domain(addition(one,X_15)),addition(one,X_15)),
inference(resolve,[$cnf( $equal(addition(addition(one,X_15),multiplication(domain(addition(one,X_15)),addition(one,X_15))),multiplication(domain(addition(one,X_15)),addition(one,X_15))) )],[refute_0_175,refute_0_201]) ).
cnf(refute_0_203,plain,
multiplication(one,addition(one,X_15)) = addition(one,X_15),
inference(subst,[],[refute_0_52:[bind(A,$fot(addition(one,X_15)))]]) ).
cnf(refute_0_204,plain,
addition(X_15,multiplication(one,addition(one,X_15))) = addition(X_15,multiplication(one,addition(one,X_15))),
introduced(tautology,[refl,[$fot(addition(X_15,multiplication(one,addition(one,X_15))))]]) ).
cnf(refute_0_205,plain,
( addition(X_15,multiplication(one,addition(one,X_15))) != addition(X_15,multiplication(one,addition(one,X_15)))
| multiplication(one,addition(one,X_15)) != addition(one,X_15)
| addition(X_15,multiplication(one,addition(one,X_15))) = addition(X_15,addition(one,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_15,multiplication(one,addition(one,X_15))),addition(X_15,multiplication(one,addition(one,X_15)))) ),[1,1],$fot(addition(one,X_15))]]) ).
cnf(refute_0_206,plain,
( multiplication(one,addition(one,X_15)) != addition(one,X_15)
| addition(X_15,multiplication(one,addition(one,X_15))) = addition(X_15,addition(one,X_15)) ),
inference(resolve,[$cnf( $equal(addition(X_15,multiplication(one,addition(one,X_15))),addition(X_15,multiplication(one,addition(one,X_15)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
addition(X_15,multiplication(one,addition(one,X_15))) = addition(X_15,addition(one,X_15)),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_15)),addition(one,X_15)) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
addition(one,addition(X_15,multiplication(one,addition(one,X_15)))) = addition(one,addition(X_15,multiplication(one,addition(one,X_15)))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_15,multiplication(one,addition(one,X_15)))))]]) ).
cnf(refute_0_209,plain,
( addition(X_15,multiplication(one,addition(one,X_15))) != addition(X_15,addition(one,X_15))
| addition(one,addition(X_15,multiplication(one,addition(one,X_15)))) != addition(one,addition(X_15,multiplication(one,addition(one,X_15))))
| addition(one,addition(X_15,multiplication(one,addition(one,X_15)))) = addition(one,addition(X_15,addition(one,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_15,multiplication(one,addition(one,X_15)))),addition(one,addition(X_15,multiplication(one,addition(one,X_15))))) ),[1,1],$fot(addition(X_15,addition(one,X_15)))]]) ).
cnf(refute_0_210,plain,
( addition(X_15,multiplication(one,addition(one,X_15))) != addition(X_15,addition(one,X_15))
| addition(one,addition(X_15,multiplication(one,addition(one,X_15)))) = addition(one,addition(X_15,addition(one,X_15))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_15,multiplication(one,addition(one,X_15)))),addition(one,addition(X_15,multiplication(one,addition(one,X_15))))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(one,addition(X_15,multiplication(one,addition(one,X_15)))) = addition(one,addition(X_15,addition(one,X_15))),
inference(resolve,[$cnf( $equal(addition(X_15,multiplication(one,addition(one,X_15))),addition(X_15,addition(one,X_15))) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
addition(addition(one,X_15),multiplication(one,addition(one,X_15))) = addition(one,addition(X_15,multiplication(one,addition(one,X_15)))),
inference(subst,[],[refute_0_126:[bind(A,$fot(one)),bind(B,$fot(X_15)),bind(C,$fot(multiplication(one,addition(one,X_15))))]]) ).
cnf(refute_0_213,plain,
( addition(addition(one,X_15),multiplication(one,addition(one,X_15))) != addition(one,addition(X_15,multiplication(one,addition(one,X_15))))
| addition(one,addition(X_15,multiplication(one,addition(one,X_15)))) != addition(one,addition(X_15,addition(one,X_15)))
| addition(addition(one,X_15),multiplication(one,addition(one,X_15))) = addition(one,addition(X_15,addition(one,X_15))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(one,X_15),multiplication(one,addition(one,X_15))))),bind(Y,$fot(addition(one,addition(X_15,multiplication(one,addition(one,X_15)))))),bind(Z,$fot(addition(one,addition(X_15,addition(one,X_15)))))]]) ).
cnf(refute_0_214,plain,
( addition(one,addition(X_15,multiplication(one,addition(one,X_15)))) != addition(one,addition(X_15,addition(one,X_15)))
| addition(addition(one,X_15),multiplication(one,addition(one,X_15))) = addition(one,addition(X_15,addition(one,X_15))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_15),multiplication(one,addition(one,X_15))),addition(one,addition(X_15,multiplication(one,addition(one,X_15))))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
addition(addition(one,X_15),multiplication(one,addition(one,X_15))) = addition(one,addition(X_15,addition(one,X_15))),
inference(resolve,[$cnf( $equal(addition(one,addition(X_15,multiplication(one,addition(one,X_15)))),addition(one,addition(X_15,addition(one,X_15)))) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( addition(addition(one,X_15),multiplication(one,addition(one,X_15))) != addition(one,addition(X_15,addition(one,X_15)))
| addition(addition(one,X_15),multiplication(one,addition(one,X_15))) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| addition(one,addition(X_15,addition(one,X_15))) = multiplication(domain(addition(one,X_15)),addition(one,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_15),multiplication(one,addition(one,X_15))),multiplication(domain(addition(one,X_15)),addition(one,X_15))) ),[0],$fot(addition(one,addition(X_15,addition(one,X_15))))]]) ).
cnf(refute_0_217,plain,
( addition(addition(one,X_15),multiplication(one,addition(one,X_15))) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| addition(one,addition(X_15,addition(one,X_15))) = multiplication(domain(addition(one,X_15)),addition(one,X_15)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_15),multiplication(one,addition(one,X_15))),addition(one,addition(X_15,addition(one,X_15)))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiplication(domain(addition(one,X_15)),addition(one,X_15)) = multiplication(domain(addition(one,X_15)),addition(one,X_15)),
introduced(tautology,[refl,[$fot(multiplication(domain(addition(one,X_15)),addition(one,X_15)))]]) ).
cnf(refute_0_219,plain,
( domain(addition(one,X_15)) != one
| multiplication(domain(addition(one,X_15)),addition(one,X_15)) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| multiplication(domain(addition(one,X_15)),addition(one,X_15)) = multiplication(one,addition(one,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(one,X_15)),addition(one,X_15)),multiplication(domain(addition(one,X_15)),addition(one,X_15))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_220,plain,
( domain(addition(one,X_15)) != one
| multiplication(domain(addition(one,X_15)),addition(one,X_15)) = multiplication(one,addition(one,X_15)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_15)),addition(one,X_15)),multiplication(domain(addition(one,X_15)),addition(one,X_15))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiplication(domain(addition(one,X_15)),addition(one,X_15)) = multiplication(one,addition(one,X_15)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_15)),one) )],[refute_0_199,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiplication(domain(addition(one,X_15)),addition(one,X_15)) != multiplication(one,addition(one,X_15))
| multiplication(one,addition(one,X_15)) != addition(one,X_15)
| multiplication(domain(addition(one,X_15)),addition(one,X_15)) = addition(one,X_15) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(addition(one,X_15)),addition(one,X_15)))),bind(Y,$fot(multiplication(one,addition(one,X_15)))),bind(Z,$fot(addition(one,X_15)))]]) ).
cnf(refute_0_223,plain,
( multiplication(one,addition(one,X_15)) != addition(one,X_15)
| multiplication(domain(addition(one,X_15)),addition(one,X_15)) = addition(one,X_15) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_15)),addition(one,X_15)),multiplication(one,addition(one,X_15))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiplication(domain(addition(one,X_15)),addition(one,X_15)) = addition(one,X_15),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_15)),addition(one,X_15)) )],[refute_0_203,refute_0_223]) ).
cnf(refute_0_225,plain,
( addition(one,addition(X_15,addition(one,X_15))) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| multiplication(domain(addition(one,X_15)),addition(one,X_15)) != addition(one,X_15)
| addition(one,addition(X_15,addition(one,X_15))) = addition(one,X_15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(X_15,addition(one,X_15))),addition(one,X_15)) ),[0],$fot(multiplication(domain(addition(one,X_15)),addition(one,X_15)))]]) ).
cnf(refute_0_226,plain,
( addition(one,addition(X_15,addition(one,X_15))) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| addition(one,addition(X_15,addition(one,X_15))) = addition(one,X_15) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_15)),addition(one,X_15)),addition(one,X_15)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
( addition(addition(one,X_15),multiplication(one,addition(one,X_15))) != multiplication(domain(addition(one,X_15)),addition(one,X_15))
| addition(one,addition(X_15,addition(one,X_15))) = addition(one,X_15) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_15,addition(one,X_15))),multiplication(domain(addition(one,X_15)),addition(one,X_15))) )],[refute_0_217,refute_0_226]) ).
cnf(refute_0_228,plain,
addition(one,addition(X_15,addition(one,X_15))) = addition(one,X_15),
inference(resolve,[$cnf( $equal(addition(addition(one,X_15),multiplication(one,addition(one,X_15))),multiplication(domain(addition(one,X_15)),addition(one,X_15))) )],[refute_0_202,refute_0_227]) ).
cnf(refute_0_229,plain,
addition(one,addition(X_28,addition(one,X_28))) = addition(one,X_28),
inference(subst,[],[refute_0_228:[bind(X_15,$fot(X_28))]]) ).
cnf(refute_0_230,plain,
addition(X_28,one) = addition(one,X_28),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_28)),bind(B,$fot(one))]]) ).
cnf(refute_0_231,plain,
( addition(X_28,one) != addition(one,X_28)
| addition(one,X_28) = addition(X_28,one) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_28,one))),bind(Y,$fot(addition(one,X_28)))]]) ).
cnf(refute_0_232,plain,
addition(one,X_28) = addition(X_28,one),
inference(resolve,[$cnf( $equal(addition(X_28,one),addition(one,X_28)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
( addition(one,X_28) != addition(X_28,one)
| addition(one,addition(X_28,addition(one,X_28))) != addition(one,X_28)
| addition(one,addition(X_28,addition(X_28,one))) = addition(one,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_28,addition(one,X_28))),addition(one,X_28)) ),[0,1,1],$fot(addition(X_28,one))]]) ).
cnf(refute_0_234,plain,
( addition(one,addition(X_28,addition(one,X_28))) != addition(one,X_28)
| addition(one,addition(X_28,addition(X_28,one))) = addition(one,X_28) ),
inference(resolve,[$cnf( $equal(addition(one,X_28),addition(X_28,one)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
addition(one,addition(X_28,addition(X_28,one))) = addition(one,X_28),
inference(resolve,[$cnf( $equal(addition(one,addition(X_28,addition(one,X_28))),addition(one,X_28)) )],[refute_0_229,refute_0_234]) ).
cnf(refute_0_236,plain,
addition(one,addition(X_35,addition(X_35,one))) = addition(one,X_35),
inference(subst,[],[refute_0_235:[bind(X_28,$fot(X_35))]]) ).
cnf(refute_0_237,plain,
( addition(addition(X_35,addition(X_35,one)),one) != addition(one,addition(X_35,addition(X_35,one)))
| addition(one,addition(X_35,addition(X_35,one))) != addition(one,X_35)
| addition(addition(X_35,addition(X_35,one)),one) = addition(one,X_35) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(X_35,addition(X_35,one)),one),addition(one,X_35)) ),[0],$fot(addition(one,addition(X_35,addition(X_35,one))))]]) ).
cnf(refute_0_238,plain,
( addition(addition(X_35,addition(X_35,one)),one) != addition(one,addition(X_35,addition(X_35,one)))
| addition(addition(X_35,addition(X_35,one)),one) = addition(one,X_35) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_35,addition(X_35,one))),addition(one,X_35)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
addition(addition(X_35,addition(X_35,one)),one) = addition(one,X_35),
inference(resolve,[$cnf( $equal(addition(addition(X_35,addition(X_35,one)),one),addition(one,addition(X_35,addition(X_35,one)))) )],[refute_0_174,refute_0_238]) ).
cnf(refute_0_240,plain,
addition(one,one) = one,
inference(subst,[],[refute_0_113:[bind(A,$fot(one))]]) ).
cnf(refute_0_241,plain,
addition(X_35,addition(one,one)) = addition(X_35,addition(one,one)),
introduced(tautology,[refl,[$fot(addition(X_35,addition(one,one)))]]) ).
cnf(refute_0_242,plain,
( addition(X_35,addition(one,one)) != addition(X_35,addition(one,one))
| addition(one,one) != one
| addition(X_35,addition(one,one)) = addition(X_35,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_35,addition(one,one)),addition(X_35,addition(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_243,plain,
( addition(one,one) != one
| addition(X_35,addition(one,one)) = addition(X_35,one) ),
inference(resolve,[$cnf( $equal(addition(X_35,addition(one,one)),addition(X_35,addition(one,one))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
addition(X_35,addition(one,one)) = addition(X_35,one),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
addition(addition(X_35,one),one) = addition(X_35,addition(one,one)),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_35)),bind(B,$fot(one)),bind(C,$fot(one))]]) ).
cnf(refute_0_246,plain,
( addition(X_35,addition(one,one)) != addition(X_35,one)
| addition(addition(X_35,one),one) != addition(X_35,addition(one,one))
| addition(addition(X_35,one),one) = addition(X_35,one) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_35,one),one))),bind(Y,$fot(addition(X_35,addition(one,one)))),bind(Z,$fot(addition(X_35,one)))]]) ).
cnf(refute_0_247,plain,
( addition(X_35,addition(one,one)) != addition(X_35,one)
| addition(addition(X_35,one),one) = addition(X_35,one) ),
inference(resolve,[$cnf( $equal(addition(addition(X_35,one),one),addition(X_35,addition(one,one))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
addition(addition(X_35,one),one) = addition(X_35,one),
inference(resolve,[$cnf( $equal(addition(X_35,addition(one,one)),addition(X_35,one)) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
addition(X_35,addition(addition(X_35,one),one)) = addition(X_35,addition(addition(X_35,one),one)),
introduced(tautology,[refl,[$fot(addition(X_35,addition(addition(X_35,one),one)))]]) ).
cnf(refute_0_250,plain,
( addition(X_35,addition(addition(X_35,one),one)) != addition(X_35,addition(addition(X_35,one),one))
| addition(addition(X_35,one),one) != addition(X_35,one)
| addition(X_35,addition(addition(X_35,one),one)) = addition(X_35,addition(X_35,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_35,addition(addition(X_35,one),one)),addition(X_35,addition(addition(X_35,one),one))) ),[1,1],$fot(addition(X_35,one))]]) ).
cnf(refute_0_251,plain,
( addition(addition(X_35,one),one) != addition(X_35,one)
| addition(X_35,addition(addition(X_35,one),one)) = addition(X_35,addition(X_35,one)) ),
inference(resolve,[$cnf( $equal(addition(X_35,addition(addition(X_35,one),one)),addition(X_35,addition(addition(X_35,one),one))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
addition(X_35,addition(addition(X_35,one),one)) = addition(X_35,addition(X_35,one)),
inference(resolve,[$cnf( $equal(addition(addition(X_35,one),one),addition(X_35,one)) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
addition(addition(X_35,addition(X_35,one)),one) = addition(X_35,addition(addition(X_35,one),one)),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_35)),bind(B,$fot(addition(X_35,one))),bind(C,$fot(one))]]) ).
cnf(refute_0_254,plain,
( addition(X_35,addition(addition(X_35,one),one)) != addition(X_35,addition(X_35,one))
| addition(addition(X_35,addition(X_35,one)),one) != addition(X_35,addition(addition(X_35,one),one))
| addition(addition(X_35,addition(X_35,one)),one) = addition(X_35,addition(X_35,one)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_35,addition(X_35,one)),one))),bind(Y,$fot(addition(X_35,addition(addition(X_35,one),one)))),bind(Z,$fot(addition(X_35,addition(X_35,one))))]]) ).
cnf(refute_0_255,plain,
( addition(X_35,addition(addition(X_35,one),one)) != addition(X_35,addition(X_35,one))
| addition(addition(X_35,addition(X_35,one)),one) = addition(X_35,addition(X_35,one)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_35,addition(X_35,one)),one),addition(X_35,addition(addition(X_35,one),one))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
addition(addition(X_35,addition(X_35,one)),one) = addition(X_35,addition(X_35,one)),
inference(resolve,[$cnf( $equal(addition(X_35,addition(addition(X_35,one),one)),addition(X_35,addition(X_35,one))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
( addition(addition(X_35,addition(X_35,one)),one) != addition(X_35,addition(X_35,one))
| addition(addition(X_35,addition(X_35,one)),one) != addition(one,X_35)
| addition(X_35,addition(X_35,one)) = addition(one,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_35,addition(X_35,one)),one),addition(one,X_35)) ),[0],$fot(addition(X_35,addition(X_35,one)))]]) ).
cnf(refute_0_258,plain,
( addition(addition(X_35,addition(X_35,one)),one) != addition(one,X_35)
| addition(X_35,addition(X_35,one)) = addition(one,X_35) ),
inference(resolve,[$cnf( $equal(addition(addition(X_35,addition(X_35,one)),one),addition(X_35,addition(X_35,one))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
addition(X_35,addition(X_35,one)) = addition(one,X_35),
inference(resolve,[$cnf( $equal(addition(addition(X_35,addition(X_35,one)),one),addition(one,X_35)) )],[refute_0_239,refute_0_258]) ).
cnf(refute_0_260,plain,
addition(B,addition(B,one)) = addition(one,B),
inference(subst,[],[refute_0_259:[bind(X_35,$fot(B))]]) ).
cnf(refute_0_261,plain,
( addition(B,addition(B,one)) != addition(one,B)
| addition(addition(B,one),B) != addition(B,addition(B,one))
| addition(addition(B,one),B) = addition(one,B) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(B,one),B),addition(B,addition(B,one))) ),[1],$fot(addition(one,B))]]) ).
cnf(refute_0_262,plain,
( addition(addition(B,one),B) != addition(B,addition(B,one))
| addition(addition(B,one),B) = addition(one,B) ),
inference(resolve,[$cnf( $equal(addition(B,addition(B,one)),addition(one,B)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
addition(addition(B,one),B) = addition(one,B),
inference(resolve,[$cnf( $equal(addition(addition(B,one),B),addition(B,addition(B,one))) )],[refute_0_173,refute_0_262]) ).
cnf(refute_0_264,plain,
addition(addition(B,one),B) = addition(B,addition(one,B)),
inference(subst,[],[refute_0_126:[bind(A,$fot(B)),bind(B,$fot(one)),bind(C,$fot(B))]]) ).
cnf(refute_0_265,plain,
( addition(addition(B,one),B) != addition(B,addition(one,B))
| addition(addition(B,one),B) != addition(one,B)
| addition(B,addition(one,B)) = addition(one,B) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(B,one),B),addition(one,B)) ),[0],$fot(addition(B,addition(one,B)))]]) ).
cnf(refute_0_266,plain,
( addition(addition(B,one),B) != addition(one,B)
| addition(B,addition(one,B)) = addition(one,B) ),
inference(resolve,[$cnf( $equal(addition(addition(B,one),B),addition(B,addition(one,B))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
addition(B,addition(one,B)) = addition(one,B),
inference(resolve,[$cnf( $equal(addition(addition(B,one),B),addition(one,B)) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
addition(X_70,addition(one,X_70)) = addition(one,X_70),
inference(subst,[],[refute_0_267:[bind(B,$fot(X_70))]]) ).
cnf(refute_0_269,plain,
( addition(X_69,addition(X_70,addition(one,X_70))) != addition(addition(X_69,X_70),addition(one,X_70))
| addition(X_70,addition(one,X_70)) != addition(one,X_70)
| addition(X_69,addition(one,X_70)) = addition(addition(X_69,X_70),addition(one,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(X_70,addition(one,X_70))),addition(addition(X_69,X_70),addition(one,X_70))) ),[0,1],$fot(addition(one,X_70))]]) ).
cnf(refute_0_270,plain,
( addition(X_69,addition(X_70,addition(one,X_70))) != addition(addition(X_69,X_70),addition(one,X_70))
| addition(X_69,addition(one,X_70)) = addition(addition(X_69,X_70),addition(one,X_70)) ),
inference(resolve,[$cnf( $equal(addition(X_70,addition(one,X_70)),addition(one,X_70)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
addition(X_69,addition(one,X_70)) = addition(addition(X_69,X_70),addition(one,X_70)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,addition(one,X_70))),addition(addition(X_69,X_70),addition(one,X_70))) )],[refute_0_172,refute_0_270]) ).
cnf(refute_0_272,plain,
addition(addition(X_13,one),multiplication(domain(addition(X_13,one)),addition(X_13,one))) = multiplication(domain(addition(X_13,one)),addition(X_13,one)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(addition(X_13,one)))]]) ).
cnf(refute_0_273,plain,
domain(addition(X0,one)) = addition(domain(X0),domain(one)),
inference(subst,[],[refute_0_5:[bind(X1,$fot(one))]]) ).
cnf(refute_0_274,plain,
( domain(addition(X0,one)) != addition(domain(X0),domain(one))
| domain(one) != one
| domain(addition(X0,one)) = addition(domain(X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,one)),addition(domain(X0),domain(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_275,plain,
( domain(addition(X0,one)) != addition(domain(X0),domain(one))
| domain(addition(X0,one)) = addition(domain(X0),one) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_191,refute_0_274]) ).
cnf(refute_0_276,plain,
domain(addition(X0,one)) = addition(domain(X0),one),
inference(resolve,[$cnf( $equal(domain(addition(X0,one)),addition(domain(X0),domain(one))) )],[refute_0_273,refute_0_275]) ).
cnf(refute_0_277,plain,
( addition(domain(X0),one) != one
| domain(addition(X0,one)) != addition(domain(X0),one)
| domain(addition(X0,one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,one)),addition(domain(X0),one)) ),[1],$fot(one)]]) ).
cnf(refute_0_278,plain,
( domain(addition(X0,one)) != addition(domain(X0),one)
| domain(addition(X0,one)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_54,refute_0_277]) ).
cnf(refute_0_279,plain,
domain(addition(X0,one)) = one,
inference(resolve,[$cnf( $equal(domain(addition(X0,one)),addition(domain(X0),one)) )],[refute_0_276,refute_0_278]) ).
cnf(refute_0_280,plain,
domain(addition(X_13,one)) = one,
inference(subst,[],[refute_0_279:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_281,plain,
( addition(addition(X_13,one),multiplication(domain(addition(X_13,one)),addition(X_13,one))) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| domain(addition(X_13,one)) != one
| addition(addition(X_13,one),multiplication(one,addition(X_13,one))) = multiplication(domain(addition(X_13,one)),addition(X_13,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_13,one),multiplication(domain(addition(X_13,one)),addition(X_13,one))),multiplication(domain(addition(X_13,one)),addition(X_13,one))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_282,plain,
( addition(addition(X_13,one),multiplication(domain(addition(X_13,one)),addition(X_13,one))) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| addition(addition(X_13,one),multiplication(one,addition(X_13,one))) = multiplication(domain(addition(X_13,one)),addition(X_13,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_13,one)),one) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
addition(addition(X_13,one),multiplication(one,addition(X_13,one))) = multiplication(domain(addition(X_13,one)),addition(X_13,one)),
inference(resolve,[$cnf( $equal(addition(addition(X_13,one),multiplication(domain(addition(X_13,one)),addition(X_13,one))),multiplication(domain(addition(X_13,one)),addition(X_13,one))) )],[refute_0_272,refute_0_282]) ).
cnf(refute_0_284,plain,
multiplication(one,addition(X_13,one)) = addition(X_13,one),
inference(subst,[],[refute_0_52:[bind(A,$fot(addition(X_13,one)))]]) ).
cnf(refute_0_285,plain,
addition(one,multiplication(one,addition(X_13,one))) = addition(one,multiplication(one,addition(X_13,one))),
introduced(tautology,[refl,[$fot(addition(one,multiplication(one,addition(X_13,one))))]]) ).
cnf(refute_0_286,plain,
( addition(one,multiplication(one,addition(X_13,one))) != addition(one,multiplication(one,addition(X_13,one)))
| multiplication(one,addition(X_13,one)) != addition(X_13,one)
| addition(one,multiplication(one,addition(X_13,one))) = addition(one,addition(X_13,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(one,addition(X_13,one))),addition(one,multiplication(one,addition(X_13,one)))) ),[1,1],$fot(addition(X_13,one))]]) ).
cnf(refute_0_287,plain,
( multiplication(one,addition(X_13,one)) != addition(X_13,one)
| addition(one,multiplication(one,addition(X_13,one))) = addition(one,addition(X_13,one)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,addition(X_13,one))),addition(one,multiplication(one,addition(X_13,one)))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
addition(one,multiplication(one,addition(X_13,one))) = addition(one,addition(X_13,one)),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_13,one)),addition(X_13,one)) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
addition(X_13,addition(one,multiplication(one,addition(X_13,one)))) = addition(X_13,addition(one,multiplication(one,addition(X_13,one)))),
introduced(tautology,[refl,[$fot(addition(X_13,addition(one,multiplication(one,addition(X_13,one)))))]]) ).
cnf(refute_0_290,plain,
( addition(X_13,addition(one,multiplication(one,addition(X_13,one)))) != addition(X_13,addition(one,multiplication(one,addition(X_13,one))))
| addition(one,multiplication(one,addition(X_13,one))) != addition(one,addition(X_13,one))
| addition(X_13,addition(one,multiplication(one,addition(X_13,one)))) = addition(X_13,addition(one,addition(X_13,one))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_13,addition(one,multiplication(one,addition(X_13,one)))),addition(X_13,addition(one,multiplication(one,addition(X_13,one))))) ),[1,1],$fot(addition(one,addition(X_13,one)))]]) ).
cnf(refute_0_291,plain,
( addition(one,multiplication(one,addition(X_13,one))) != addition(one,addition(X_13,one))
| addition(X_13,addition(one,multiplication(one,addition(X_13,one)))) = addition(X_13,addition(one,addition(X_13,one))) ),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,multiplication(one,addition(X_13,one)))),addition(X_13,addition(one,multiplication(one,addition(X_13,one))))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
addition(X_13,addition(one,multiplication(one,addition(X_13,one)))) = addition(X_13,addition(one,addition(X_13,one))),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,addition(X_13,one))),addition(one,addition(X_13,one))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
addition(addition(X_13,one),multiplication(one,addition(X_13,one))) = addition(X_13,addition(one,multiplication(one,addition(X_13,one)))),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_13)),bind(B,$fot(one)),bind(C,$fot(multiplication(one,addition(X_13,one))))]]) ).
cnf(refute_0_294,plain,
( addition(X_13,addition(one,multiplication(one,addition(X_13,one)))) != addition(X_13,addition(one,addition(X_13,one)))
| addition(addition(X_13,one),multiplication(one,addition(X_13,one))) != addition(X_13,addition(one,multiplication(one,addition(X_13,one))))
| addition(addition(X_13,one),multiplication(one,addition(X_13,one))) = addition(X_13,addition(one,addition(X_13,one))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_13,one),multiplication(one,addition(X_13,one))))),bind(Y,$fot(addition(X_13,addition(one,multiplication(one,addition(X_13,one)))))),bind(Z,$fot(addition(X_13,addition(one,addition(X_13,one)))))]]) ).
cnf(refute_0_295,plain,
( addition(X_13,addition(one,multiplication(one,addition(X_13,one)))) != addition(X_13,addition(one,addition(X_13,one)))
| addition(addition(X_13,one),multiplication(one,addition(X_13,one))) = addition(X_13,addition(one,addition(X_13,one))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_13,one),multiplication(one,addition(X_13,one))),addition(X_13,addition(one,multiplication(one,addition(X_13,one))))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
addition(addition(X_13,one),multiplication(one,addition(X_13,one))) = addition(X_13,addition(one,addition(X_13,one))),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,multiplication(one,addition(X_13,one)))),addition(X_13,addition(one,addition(X_13,one)))) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
( addition(addition(X_13,one),multiplication(one,addition(X_13,one))) != addition(X_13,addition(one,addition(X_13,one)))
| addition(addition(X_13,one),multiplication(one,addition(X_13,one))) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| addition(X_13,addition(one,addition(X_13,one))) = multiplication(domain(addition(X_13,one)),addition(X_13,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_13,one),multiplication(one,addition(X_13,one))),multiplication(domain(addition(X_13,one)),addition(X_13,one))) ),[0],$fot(addition(X_13,addition(one,addition(X_13,one))))]]) ).
cnf(refute_0_298,plain,
( addition(addition(X_13,one),multiplication(one,addition(X_13,one))) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| addition(X_13,addition(one,addition(X_13,one))) = multiplication(domain(addition(X_13,one)),addition(X_13,one)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_13,one),multiplication(one,addition(X_13,one))),addition(X_13,addition(one,addition(X_13,one)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiplication(domain(addition(X_13,one)),addition(X_13,one)) = multiplication(domain(addition(X_13,one)),addition(X_13,one)),
introduced(tautology,[refl,[$fot(multiplication(domain(addition(X_13,one)),addition(X_13,one)))]]) ).
cnf(refute_0_300,plain,
( domain(addition(X_13,one)) != one
| multiplication(domain(addition(X_13,one)),addition(X_13,one)) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| multiplication(domain(addition(X_13,one)),addition(X_13,one)) = multiplication(one,addition(X_13,one)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_13,one)),addition(X_13,one)),multiplication(domain(addition(X_13,one)),addition(X_13,one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_301,plain,
( domain(addition(X_13,one)) != one
| multiplication(domain(addition(X_13,one)),addition(X_13,one)) = multiplication(one,addition(X_13,one)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_13,one)),addition(X_13,one)),multiplication(domain(addition(X_13,one)),addition(X_13,one))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
multiplication(domain(addition(X_13,one)),addition(X_13,one)) = multiplication(one,addition(X_13,one)),
inference(resolve,[$cnf( $equal(domain(addition(X_13,one)),one) )],[refute_0_280,refute_0_301]) ).
cnf(refute_0_303,plain,
( multiplication(domain(addition(X_13,one)),addition(X_13,one)) != multiplication(one,addition(X_13,one))
| multiplication(one,addition(X_13,one)) != addition(X_13,one)
| multiplication(domain(addition(X_13,one)),addition(X_13,one)) = addition(X_13,one) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(addition(X_13,one)),addition(X_13,one)))),bind(Y,$fot(multiplication(one,addition(X_13,one)))),bind(Z,$fot(addition(X_13,one)))]]) ).
cnf(refute_0_304,plain,
( multiplication(one,addition(X_13,one)) != addition(X_13,one)
| multiplication(domain(addition(X_13,one)),addition(X_13,one)) = addition(X_13,one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_13,one)),addition(X_13,one)),multiplication(one,addition(X_13,one))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
multiplication(domain(addition(X_13,one)),addition(X_13,one)) = addition(X_13,one),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_13,one)),addition(X_13,one)) )],[refute_0_284,refute_0_304]) ).
cnf(refute_0_306,plain,
( addition(X_13,addition(one,addition(X_13,one))) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| multiplication(domain(addition(X_13,one)),addition(X_13,one)) != addition(X_13,one)
| addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_13,addition(one,addition(X_13,one))),addition(X_13,one)) ),[0],$fot(multiplication(domain(addition(X_13,one)),addition(X_13,one)))]]) ).
cnf(refute_0_307,plain,
( addition(X_13,addition(one,addition(X_13,one))) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_13,one)),addition(X_13,one)),addition(X_13,one)) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
( addition(addition(X_13,one),multiplication(one,addition(X_13,one))) != multiplication(domain(addition(X_13,one)),addition(X_13,one))
| addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,one) ),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,addition(X_13,one))),multiplication(domain(addition(X_13,one)),addition(X_13,one))) )],[refute_0_298,refute_0_307]) ).
cnf(refute_0_309,plain,
addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,one),
inference(resolve,[$cnf( $equal(addition(addition(X_13,one),multiplication(one,addition(X_13,one))),multiplication(domain(addition(X_13,one)),addition(X_13,one))) )],[refute_0_283,refute_0_308]) ).
cnf(refute_0_310,plain,
addition(X_13,addition(one,X_13)) = addition(one,X_13),
inference(subst,[],[refute_0_267:[bind(B,$fot(X_13))]]) ).
cnf(refute_0_311,plain,
addition(addition(one,X_38),one) = addition(one,addition(one,X_38)),
inference(subst,[],[refute_0_6:[bind(A,$fot(addition(one,X_38))),bind(B,$fot(one))]]) ).
cnf(refute_0_312,plain,
addition(X_28,addition(X_28,one)) = addition(one,X_28),
inference(subst,[],[refute_0_259:[bind(X_35,$fot(X_28))]]) ).
cnf(refute_0_313,plain,
addition(one,addition(X_28,addition(X_28,one))) = addition(one,addition(X_28,addition(X_28,one))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_28,addition(X_28,one))))]]) ).
cnf(refute_0_314,plain,
( addition(X_28,addition(X_28,one)) != addition(one,X_28)
| addition(one,addition(X_28,addition(X_28,one))) != addition(one,addition(X_28,addition(X_28,one)))
| addition(one,addition(X_28,addition(X_28,one))) = addition(one,addition(one,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_28,addition(X_28,one))),addition(one,addition(X_28,addition(X_28,one)))) ),[1,1],$fot(addition(one,X_28))]]) ).
cnf(refute_0_315,plain,
( addition(X_28,addition(X_28,one)) != addition(one,X_28)
| addition(one,addition(X_28,addition(X_28,one))) = addition(one,addition(one,X_28)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_28,addition(X_28,one))),addition(one,addition(X_28,addition(X_28,one)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
addition(one,addition(X_28,addition(X_28,one))) = addition(one,addition(one,X_28)),
inference(resolve,[$cnf( $equal(addition(X_28,addition(X_28,one)),addition(one,X_28)) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( addition(one,addition(X_28,addition(X_28,one))) != addition(one,X_28)
| addition(one,addition(X_28,addition(X_28,one))) != addition(one,addition(one,X_28))
| addition(one,addition(one,X_28)) = addition(one,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_28,addition(X_28,one))),addition(one,X_28)) ),[0],$fot(addition(one,addition(one,X_28)))]]) ).
cnf(refute_0_318,plain,
( addition(one,addition(X_28,addition(X_28,one))) != addition(one,X_28)
| addition(one,addition(one,X_28)) = addition(one,X_28) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_28,addition(X_28,one))),addition(one,addition(one,X_28))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
addition(one,addition(one,X_28)) = addition(one,X_28),
inference(resolve,[$cnf( $equal(addition(one,addition(X_28,addition(X_28,one))),addition(one,X_28)) )],[refute_0_235,refute_0_318]) ).
cnf(refute_0_320,plain,
addition(one,addition(one,X_38)) = addition(one,X_38),
inference(subst,[],[refute_0_319:[bind(X_28,$fot(X_38))]]) ).
cnf(refute_0_321,plain,
( addition(addition(one,X_38),one) != addition(one,addition(one,X_38))
| addition(one,addition(one,X_38)) != addition(one,X_38)
| addition(addition(one,X_38),one) = addition(one,X_38) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(one,X_38),one),addition(one,X_38)) ),[0],$fot(addition(one,addition(one,X_38)))]]) ).
cnf(refute_0_322,plain,
( addition(addition(one,X_38),one) != addition(one,addition(one,X_38))
| addition(addition(one,X_38),one) = addition(one,X_38) ),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_38)),addition(one,X_38)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
addition(addition(one,X_38),one) = addition(one,X_38),
inference(resolve,[$cnf( $equal(addition(addition(one,X_38),one),addition(one,addition(one,X_38))) )],[refute_0_311,refute_0_322]) ).
cnf(refute_0_324,plain,
addition(addition(one,X_38),one) = addition(one,addition(X_38,one)),
inference(subst,[],[refute_0_126:[bind(A,$fot(one)),bind(B,$fot(X_38)),bind(C,$fot(one))]]) ).
cnf(refute_0_325,plain,
( addition(addition(one,X_38),one) != addition(one,X_38)
| addition(addition(one,X_38),one) != addition(one,addition(X_38,one))
| addition(one,addition(X_38,one)) = addition(one,X_38) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_38),one),addition(one,X_38)) ),[0],$fot(addition(one,addition(X_38,one)))]]) ).
cnf(refute_0_326,plain,
( addition(addition(one,X_38),one) != addition(one,X_38)
| addition(one,addition(X_38,one)) = addition(one,X_38) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_38),one),addition(one,addition(X_38,one))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
addition(one,addition(X_38,one)) = addition(one,X_38),
inference(resolve,[$cnf( $equal(addition(addition(one,X_38),one),addition(one,X_38)) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
addition(one,addition(X_13,one)) = addition(one,X_13),
inference(subst,[],[refute_0_327:[bind(X_38,$fot(X_13))]]) ).
cnf(refute_0_329,plain,
addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,addition(one,addition(X_13,one))),
introduced(tautology,[refl,[$fot(addition(X_13,addition(one,addition(X_13,one))))]]) ).
cnf(refute_0_330,plain,
( addition(X_13,addition(one,addition(X_13,one))) != addition(X_13,addition(one,addition(X_13,one)))
| addition(one,addition(X_13,one)) != addition(one,X_13)
| addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,addition(one,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_13,addition(one,addition(X_13,one))),addition(X_13,addition(one,addition(X_13,one)))) ),[1,1],$fot(addition(one,X_13))]]) ).
cnf(refute_0_331,plain,
( addition(one,addition(X_13,one)) != addition(one,X_13)
| addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,addition(one,X_13)) ),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,addition(X_13,one))),addition(X_13,addition(one,addition(X_13,one)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
addition(X_13,addition(one,addition(X_13,one))) = addition(X_13,addition(one,X_13)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_13,one)),addition(one,X_13)) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
( addition(X_13,addition(one,X_13)) != addition(one,X_13)
| addition(X_13,addition(one,addition(X_13,one))) != addition(X_13,addition(one,X_13))
| addition(X_13,addition(one,addition(X_13,one))) = addition(one,X_13) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(X_13,addition(one,addition(X_13,one))))),bind(Y,$fot(addition(X_13,addition(one,X_13)))),bind(Z,$fot(addition(one,X_13)))]]) ).
cnf(refute_0_334,plain,
( addition(X_13,addition(one,X_13)) != addition(one,X_13)
| addition(X_13,addition(one,addition(X_13,one))) = addition(one,X_13) ),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,addition(X_13,one))),addition(X_13,addition(one,X_13))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
addition(X_13,addition(one,addition(X_13,one))) = addition(one,X_13),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,X_13)),addition(one,X_13)) )],[refute_0_310,refute_0_334]) ).
cnf(refute_0_336,plain,
( addition(X_13,addition(one,addition(X_13,one))) != addition(X_13,one)
| addition(X_13,addition(one,addition(X_13,one))) != addition(one,X_13)
| addition(one,X_13) = addition(X_13,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_13,addition(one,addition(X_13,one))),addition(X_13,one)) ),[0],$fot(addition(one,X_13))]]) ).
cnf(refute_0_337,plain,
( addition(X_13,addition(one,addition(X_13,one))) != addition(X_13,one)
| addition(one,X_13) = addition(X_13,one) ),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,addition(X_13,one))),addition(one,X_13)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
addition(one,X_13) = addition(X_13,one),
inference(resolve,[$cnf( $equal(addition(X_13,addition(one,addition(X_13,one))),addition(X_13,one)) )],[refute_0_309,refute_0_337]) ).
cnf(refute_0_339,plain,
( addition(one,X_13) != addition(X_13,one)
| addition(X_13,one) = addition(one,X_13) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(one,X_13))),bind(Y,$fot(addition(X_13,one)))]]) ).
cnf(refute_0_340,plain,
addition(X_13,one) = addition(one,X_13),
inference(resolve,[$cnf( $equal(addition(one,X_13),addition(X_13,one)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
addition(addition(X_69,X_70),one) = addition(one,addition(X_69,X_70)),
inference(subst,[],[refute_0_340:[bind(X_13,$fot(addition(X_69,X_70)))]]) ).
cnf(refute_0_342,plain,
addition(X_70,addition(addition(X_69,X_70),one)) = addition(X_70,addition(addition(X_69,X_70),one)),
introduced(tautology,[refl,[$fot(addition(X_70,addition(addition(X_69,X_70),one)))]]) ).
cnf(refute_0_343,plain,
( addition(X_70,addition(addition(X_69,X_70),one)) != addition(X_70,addition(addition(X_69,X_70),one))
| addition(addition(X_69,X_70),one) != addition(one,addition(X_69,X_70))
| addition(X_70,addition(addition(X_69,X_70),one)) = addition(X_70,addition(one,addition(X_69,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_70,addition(addition(X_69,X_70),one)),addition(X_70,addition(addition(X_69,X_70),one))) ),[1,1],$fot(addition(one,addition(X_69,X_70)))]]) ).
cnf(refute_0_344,plain,
( addition(addition(X_69,X_70),one) != addition(one,addition(X_69,X_70))
| addition(X_70,addition(addition(X_69,X_70),one)) = addition(X_70,addition(one,addition(X_69,X_70))) ),
inference(resolve,[$cnf( $equal(addition(X_70,addition(addition(X_69,X_70),one)),addition(X_70,addition(addition(X_69,X_70),one))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
addition(X_70,addition(addition(X_69,X_70),one)) = addition(X_70,addition(one,addition(X_69,X_70))),
inference(resolve,[$cnf( $equal(addition(addition(X_69,X_70),one),addition(one,addition(X_69,X_70))) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
addition(addition(X_69,X_70),addition(one,X_70)) = addition(X_70,addition(addition(X_69,X_70),one)),
inference(subst,[],[refute_0_142:[bind(A,$fot(X_70)),bind(X_69,$fot(addition(X_69,X_70))),bind(X_70,$fot(one))]]) ).
cnf(refute_0_347,plain,
( addition(X_70,addition(addition(X_69,X_70),one)) != addition(X_70,addition(one,addition(X_69,X_70)))
| addition(addition(X_69,X_70),addition(one,X_70)) != addition(X_70,addition(addition(X_69,X_70),one))
| addition(addition(X_69,X_70),addition(one,X_70)) = addition(X_70,addition(one,addition(X_69,X_70))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_69,X_70),addition(one,X_70)))),bind(Y,$fot(addition(X_70,addition(addition(X_69,X_70),one)))),bind(Z,$fot(addition(X_70,addition(one,addition(X_69,X_70)))))]]) ).
cnf(refute_0_348,plain,
( addition(X_70,addition(addition(X_69,X_70),one)) != addition(X_70,addition(one,addition(X_69,X_70)))
| addition(addition(X_69,X_70),addition(one,X_70)) = addition(X_70,addition(one,addition(X_69,X_70))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_69,X_70),addition(one,X_70)),addition(X_70,addition(addition(X_69,X_70),one))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
addition(addition(X_69,X_70),addition(one,X_70)) = addition(X_70,addition(one,addition(X_69,X_70))),
inference(resolve,[$cnf( $equal(addition(X_70,addition(addition(X_69,X_70),one)),addition(X_70,addition(one,addition(X_69,X_70)))) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
( addition(X_69,addition(one,X_70)) != addition(addition(X_69,X_70),addition(one,X_70))
| addition(addition(X_69,X_70),addition(one,X_70)) != addition(X_70,addition(one,addition(X_69,X_70)))
| addition(X_69,addition(one,X_70)) = addition(X_70,addition(one,addition(X_69,X_70))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_69,addition(one,X_70)),addition(X_70,addition(one,addition(X_69,X_70)))) ),[0],$fot(addition(addition(X_69,X_70),addition(one,X_70)))]]) ).
cnf(refute_0_351,plain,
( addition(X_69,addition(one,X_70)) != addition(addition(X_69,X_70),addition(one,X_70))
| addition(X_69,addition(one,X_70)) = addition(X_70,addition(one,addition(X_69,X_70))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_69,X_70),addition(one,X_70)),addition(X_70,addition(one,addition(X_69,X_70)))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
addition(X_69,addition(one,X_70)) = addition(X_70,addition(one,addition(X_69,X_70))),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,X_70)),addition(addition(X_69,X_70),addition(one,X_70))) )],[refute_0_271,refute_0_351]) ).
cnf(refute_0_353,plain,
addition(X_78,addition(one,domain(X0))) = addition(domain(X0),addition(one,addition(X_78,domain(X0)))),
inference(subst,[],[refute_0_352:[bind(X_69,$fot(X_78)),bind(X_70,$fot(domain(X0)))]]) ).
cnf(refute_0_354,plain,
( addition(X_78,addition(one,domain(X0))) != addition(domain(X0),addition(one,addition(X_78,domain(X0))))
| addition(one,domain(X0)) != one
| addition(X_78,one) = addition(domain(X0),addition(one,addition(X_78,domain(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_78,addition(one,domain(X0))),addition(domain(X0),addition(one,addition(X_78,domain(X0))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_355,plain,
( addition(X_78,addition(one,domain(X0))) != addition(domain(X0),addition(one,addition(X_78,domain(X0))))
| addition(X_78,one) = addition(domain(X0),addition(one,addition(X_78,domain(X0)))) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_60,refute_0_354]) ).
cnf(refute_0_356,plain,
addition(X_78,one) = addition(domain(X0),addition(one,addition(X_78,domain(X0)))),
inference(resolve,[$cnf( $equal(addition(X_78,addition(one,domain(X0))),addition(domain(X0),addition(one,addition(X_78,domain(X0))))) )],[refute_0_353,refute_0_355]) ).
cnf(refute_0_357,plain,
addition(one,addition(domain(X0),X_71)) = addition(addition(one,domain(X0)),X_71),
inference(subst,[],[refute_0_101:[bind(A,$fot(one)),bind(B,$fot(domain(X0))),bind(C,$fot(X_71))]]) ).
cnf(refute_0_358,plain,
( addition(one,addition(domain(X0),X_71)) != addition(addition(one,domain(X0)),X_71)
| addition(one,domain(X0)) != one
| addition(one,addition(domain(X0),X_71)) = addition(one,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(domain(X0),X_71)),addition(addition(one,domain(X0)),X_71)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_359,plain,
( addition(one,addition(domain(X0),X_71)) != addition(addition(one,domain(X0)),X_71)
| addition(one,addition(domain(X0),X_71)) = addition(one,X_71) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_60,refute_0_358]) ).
cnf(refute_0_360,plain,
addition(one,addition(domain(X0),X_71)) = addition(one,X_71),
inference(resolve,[$cnf( $equal(addition(one,addition(domain(X0),X_71)),addition(addition(one,domain(X0)),X_71)) )],[refute_0_357,refute_0_359]) ).
cnf(refute_0_361,plain,
addition(one,addition(domain(X0),addition(X_78,domain(X0)))) = addition(one,addition(X_78,domain(X0))),
inference(subst,[],[refute_0_360:[bind(X_71,$fot(addition(X_78,domain(X0))))]]) ).
cnf(refute_0_362,plain,
addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_69,addition(one,addition(X_78,X_69))))),
inference(subst,[],[refute_0_352:[bind(X_70,$fot(addition(one,addition(X_78,X_69))))]]) ).
cnf(refute_0_363,plain,
addition(X_78,addition(one,X_69)) = addition(X_69,addition(one,addition(X_78,X_69))),
inference(subst,[],[refute_0_352:[bind(X_69,$fot(X_78)),bind(X_70,$fot(X_69))]]) ).
cnf(refute_0_364,plain,
( addition(X_78,addition(one,X_69)) != addition(X_69,addition(one,addition(X_78,X_69)))
| addition(X_69,addition(one,addition(X_78,X_69))) = addition(X_78,addition(one,X_69)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_78,addition(one,X_69)))),bind(Y,$fot(addition(X_69,addition(one,addition(X_78,X_69)))))]]) ).
cnf(refute_0_365,plain,
addition(X_69,addition(one,addition(X_78,X_69))) = addition(X_78,addition(one,X_69)),
inference(resolve,[$cnf( $equal(addition(X_78,addition(one,X_69)),addition(X_69,addition(one,addition(X_78,X_69)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( addition(X_69,addition(one,addition(X_78,X_69))) != addition(X_78,addition(one,X_69))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_69,addition(one,addition(X_78,X_69)))))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_69,addition(one,addition(X_78,X_69)))))) ),[1,1,1],$fot(addition(X_78,addition(one,X_69)))]]) ).
cnf(refute_0_367,plain,
( addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_69,addition(one,addition(X_78,X_69)))))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_78,X_69))),addition(X_78,addition(one,X_69))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_69,addition(one,addition(X_78,X_69)))))) )],[refute_0_362,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(one,addition(one,addition(X_78,X_69))) = addition(one,addition(X_78,X_69)),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(one)),bind(X_71,$fot(addition(X_78,X_69)))]]) ).
cnf(refute_0_370,plain,
addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),
introduced(tautology,[refl,[$fot(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))))]]) ).
cnf(refute_0_371,plain,
( addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(X_69,addition(one,addition(one,addition(X_78,X_69))))
| addition(one,addition(one,addition(X_78,X_69))) != addition(one,addition(X_78,X_69))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(X_69,addition(one,addition(X_78,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(X_69,addition(one,addition(one,addition(X_78,X_69))))) ),[1,1],$fot(addition(one,addition(X_78,X_69)))]]) ).
cnf(refute_0_372,plain,
( addition(one,addition(one,addition(X_78,X_69))) != addition(one,addition(X_78,X_69))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(X_69,addition(one,addition(X_78,X_69))) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(X_69,addition(one,addition(one,addition(X_78,X_69))))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(X_69,addition(one,addition(X_78,X_69))),
inference(resolve,[$cnf( $equal(addition(one,addition(one,addition(X_78,X_69))),addition(one,addition(X_78,X_69))) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
( addition(X_69,addition(one,addition(X_78,X_69))) != addition(X_78,addition(one,X_69))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(X_69,addition(one,addition(X_78,X_69)))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(X_78,addition(one,X_69)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))))),bind(Y,$fot(addition(X_69,addition(one,addition(X_78,X_69))))),bind(Z,$fot(addition(X_78,addition(one,X_69))))]]) ).
cnf(refute_0_375,plain,
( addition(X_69,addition(one,addition(X_78,X_69))) != addition(X_78,addition(one,X_69))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(X_78,addition(one,X_69)) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(X_69,addition(one,addition(X_78,X_69)))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) = addition(X_78,addition(one,X_69)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_78,X_69))),addition(X_78,addition(one,X_69))) )],[refute_0_365,refute_0_375]) ).
cnf(refute_0_377,plain,
( addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(X_78,addition(one,X_69))
| addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))
| addition(X_78,addition(one,X_69)) = addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))) ),[0],$fot(addition(X_78,addition(one,X_69)))]]) ).
cnf(refute_0_378,plain,
( addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))
| addition(X_78,addition(one,X_69)) = addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(X_78,addition(one,X_69))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
( addition(X_70,X_71) != addition(X_71,addition(X_70,X_71))
| addition(X_71,addition(X_70,X_71)) = addition(X_70,X_71) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_70,X_71))),bind(Y,$fot(addition(X_71,addition(X_70,X_71))))]]) ).
cnf(refute_0_380,plain,
addition(X_71,addition(X_70,X_71)) = addition(X_70,X_71),
inference(resolve,[$cnf( $equal(addition(X_70,X_71),addition(X_71,addition(X_70,X_71))) )],[refute_0_165,refute_0_379]) ).
cnf(refute_0_381,plain,
addition(X_69,addition(X_78,X_69)) = addition(X_78,X_69),
inference(subst,[],[refute_0_380:[bind(X_70,$fot(X_78)),bind(X_71,$fot(X_69))]]) ).
cnf(refute_0_382,plain,
addition(X_78,addition(X_78,X_69)) = addition(X_78,X_69),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(X_78)),bind(X_71,$fot(X_69))]]) ).
cnf(refute_0_383,plain,
addition(X_69,addition(X_78,addition(X_78,X_69))) = addition(X_69,addition(X_78,addition(X_78,X_69))),
introduced(tautology,[refl,[$fot(addition(X_69,addition(X_78,addition(X_78,X_69))))]]) ).
cnf(refute_0_384,plain,
( addition(X_69,addition(X_78,addition(X_78,X_69))) != addition(X_69,addition(X_78,addition(X_78,X_69)))
| addition(X_78,addition(X_78,X_69)) != addition(X_78,X_69)
| addition(X_69,addition(X_78,addition(X_78,X_69))) = addition(X_69,addition(X_78,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(X_78,addition(X_78,X_69))),addition(X_69,addition(X_78,addition(X_78,X_69)))) ),[1,1],$fot(addition(X_78,X_69))]]) ).
cnf(refute_0_385,plain,
( addition(X_78,addition(X_78,X_69)) != addition(X_78,X_69)
| addition(X_69,addition(X_78,addition(X_78,X_69))) = addition(X_69,addition(X_78,X_69)) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_78,addition(X_78,X_69))),addition(X_69,addition(X_78,addition(X_78,X_69)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
addition(X_69,addition(X_78,addition(X_78,X_69))) = addition(X_69,addition(X_78,X_69)),
inference(resolve,[$cnf( $equal(addition(X_78,addition(X_78,X_69)),addition(X_78,X_69)) )],[refute_0_382,refute_0_385]) ).
cnf(refute_0_387,plain,
( addition(X_69,addition(X_78,X_69)) != addition(X_78,X_69)
| addition(X_69,addition(X_78,addition(X_78,X_69))) != addition(X_69,addition(X_78,X_69))
| addition(X_69,addition(X_78,addition(X_78,X_69))) = addition(X_78,X_69) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(X_69,addition(X_78,addition(X_78,X_69))))),bind(Y,$fot(addition(X_69,addition(X_78,X_69)))),bind(Z,$fot(addition(X_78,X_69)))]]) ).
cnf(refute_0_388,plain,
( addition(X_69,addition(X_78,X_69)) != addition(X_78,X_69)
| addition(X_69,addition(X_78,addition(X_78,X_69))) = addition(X_78,X_69) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_78,addition(X_78,X_69))),addition(X_69,addition(X_78,X_69))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
addition(X_69,addition(X_78,addition(X_78,X_69))) = addition(X_78,X_69),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_78,X_69)),addition(X_78,X_69)) )],[refute_0_381,refute_0_388]) ).
cnf(refute_0_390,plain,
addition(X_69,addition(addition(X_78,X_69),X_78)) = addition(X_69,addition(X_78,addition(X_78,X_69))),
inference(subst,[],[refute_0_132:[bind(X_70,$fot(addition(X_78,X_69))),bind(X_71,$fot(X_78))]]) ).
cnf(refute_0_391,plain,
( addition(X_69,addition(X_78,addition(X_78,X_69))) != addition(X_78,X_69)
| addition(X_69,addition(addition(X_78,X_69),X_78)) != addition(X_69,addition(X_78,addition(X_78,X_69)))
| addition(X_69,addition(addition(X_78,X_69),X_78)) = addition(X_78,X_69) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(X_69,addition(addition(X_78,X_69),X_78)))),bind(Y,$fot(addition(X_69,addition(X_78,addition(X_78,X_69))))),bind(Z,$fot(addition(X_78,X_69)))]]) ).
cnf(refute_0_392,plain,
( addition(X_69,addition(X_78,addition(X_78,X_69))) != addition(X_78,X_69)
| addition(X_69,addition(addition(X_78,X_69),X_78)) = addition(X_78,X_69) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(addition(X_78,X_69),X_78)),addition(X_69,addition(X_78,addition(X_78,X_69)))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
addition(X_69,addition(addition(X_78,X_69),X_78)) = addition(X_78,X_69),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_78,addition(X_78,X_69))),addition(X_78,X_69)) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))))]]) ).
cnf(refute_0_395,plain,
( addition(X_69,addition(addition(X_78,X_69),X_78)) != addition(X_78,X_69)
| addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) = addition(one,addition(X_78,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) ),[1,1],$fot(addition(X_78,X_69))]]) ).
cnf(refute_0_396,plain,
( addition(X_69,addition(addition(X_78,X_69),X_78)) != addition(X_78,X_69)
| addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) = addition(one,addition(X_78,X_69)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) = addition(one,addition(X_78,X_69)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(addition(X_78,X_69),X_78)),addition(X_78,X_69)) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
addition(X_69,addition(one,addition(X_38,one))) = addition(addition(X_69,one),addition(X_38,one)),
inference(subst,[],[refute_0_101:[bind(A,$fot(X_69)),bind(B,$fot(one)),bind(C,$fot(addition(X_38,one)))]]) ).
cnf(refute_0_399,plain,
( addition(X_69,addition(one,addition(X_38,one))) != addition(addition(X_69,one),addition(X_38,one))
| addition(one,addition(X_38,one)) != addition(one,X_38)
| addition(X_69,addition(one,X_38)) = addition(addition(X_69,one),addition(X_38,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,addition(X_38,one))),addition(addition(X_69,one),addition(X_38,one))) ),[0,1],$fot(addition(one,X_38))]]) ).
cnf(refute_0_400,plain,
( addition(X_69,addition(one,addition(X_38,one))) != addition(addition(X_69,one),addition(X_38,one))
| addition(X_69,addition(one,X_38)) = addition(addition(X_69,one),addition(X_38,one)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_38,one)),addition(one,X_38)) )],[refute_0_327,refute_0_399]) ).
cnf(refute_0_401,plain,
addition(X_69,addition(one,X_38)) = addition(addition(X_69,one),addition(X_38,one)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_38,one))),addition(addition(X_69,one),addition(X_38,one))) )],[refute_0_398,refute_0_400]) ).
cnf(refute_0_402,plain,
addition(addition(X_69,one),X_38) = addition(X_69,addition(one,X_38)),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_69)),bind(B,$fot(one)),bind(C,$fot(X_38))]]) ).
cnf(refute_0_403,plain,
addition(one,addition(addition(X_69,one),X_38)) = addition(one,addition(addition(X_69,one),X_38)),
introduced(tautology,[refl,[$fot(addition(one,addition(addition(X_69,one),X_38)))]]) ).
cnf(refute_0_404,plain,
( addition(addition(X_69,one),X_38) != addition(X_69,addition(one,X_38))
| addition(one,addition(addition(X_69,one),X_38)) != addition(one,addition(addition(X_69,one),X_38))
| addition(one,addition(addition(X_69,one),X_38)) = addition(one,addition(X_69,addition(one,X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(addition(X_69,one),X_38)),addition(one,addition(addition(X_69,one),X_38))) ),[1,1],$fot(addition(X_69,addition(one,X_38)))]]) ).
cnf(refute_0_405,plain,
( addition(addition(X_69,one),X_38) != addition(X_69,addition(one,X_38))
| addition(one,addition(addition(X_69,one),X_38)) = addition(one,addition(X_69,addition(one,X_38))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_69,one),X_38)),addition(one,addition(addition(X_69,one),X_38))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
addition(one,addition(addition(X_69,one),X_38)) = addition(one,addition(X_69,addition(one,X_38))),
inference(resolve,[$cnf( $equal(addition(addition(X_69,one),X_38),addition(X_69,addition(one,X_38))) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
addition(addition(X_69,one),addition(X_38,one)) = addition(one,addition(addition(X_69,one),X_38)),
inference(subst,[],[refute_0_142:[bind(A,$fot(one)),bind(X_69,$fot(addition(X_69,one))),bind(X_70,$fot(X_38))]]) ).
cnf(refute_0_408,plain,
( addition(addition(X_69,one),addition(X_38,one)) != addition(one,addition(addition(X_69,one),X_38))
| addition(one,addition(addition(X_69,one),X_38)) != addition(one,addition(X_69,addition(one,X_38)))
| addition(addition(X_69,one),addition(X_38,one)) = addition(one,addition(X_69,addition(one,X_38))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_69,one),addition(X_38,one)))),bind(Y,$fot(addition(one,addition(addition(X_69,one),X_38)))),bind(Z,$fot(addition(one,addition(X_69,addition(one,X_38)))))]]) ).
cnf(refute_0_409,plain,
( addition(one,addition(addition(X_69,one),X_38)) != addition(one,addition(X_69,addition(one,X_38)))
| addition(addition(X_69,one),addition(X_38,one)) = addition(one,addition(X_69,addition(one,X_38))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_69,one),addition(X_38,one)),addition(one,addition(addition(X_69,one),X_38))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
addition(addition(X_69,one),addition(X_38,one)) = addition(one,addition(X_69,addition(one,X_38))),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_69,one),X_38)),addition(one,addition(X_69,addition(one,X_38)))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
( addition(X_69,addition(one,X_38)) != addition(addition(X_69,one),addition(X_38,one))
| addition(addition(X_69,one),addition(X_38,one)) != addition(one,addition(X_69,addition(one,X_38)))
| addition(X_69,addition(one,X_38)) = addition(one,addition(X_69,addition(one,X_38))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_69,addition(one,X_38)),addition(one,addition(X_69,addition(one,X_38)))) ),[0],$fot(addition(addition(X_69,one),addition(X_38,one)))]]) ).
cnf(refute_0_412,plain,
( addition(X_69,addition(one,X_38)) != addition(addition(X_69,one),addition(X_38,one))
| addition(X_69,addition(one,X_38)) = addition(one,addition(X_69,addition(one,X_38))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_69,one),addition(X_38,one)),addition(one,addition(X_69,addition(one,X_38)))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
addition(X_69,addition(one,X_38)) = addition(one,addition(X_69,addition(one,X_38))),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,X_38)),addition(addition(X_69,one),addition(X_38,one))) )],[refute_0_401,refute_0_412]) ).
cnf(refute_0_414,plain,
addition(addition(A,B),addition(one,X_76)) = addition(one,addition(addition(A,B),addition(one,X_76))),
inference(subst,[],[refute_0_413:[bind(X_38,$fot(X_76)),bind(X_69,$fot(addition(A,B)))]]) ).
cnf(refute_0_415,plain,
addition(A,addition(B,addition(one,X_76))) = addition(addition(A,B),addition(one,X_76)),
inference(subst,[],[refute_0_101:[bind(C,$fot(addition(one,X_76)))]]) ).
cnf(refute_0_416,plain,
( addition(A,addition(B,addition(one,X_76))) != addition(addition(A,B),addition(one,X_76))
| addition(addition(A,B),addition(one,X_76)) = addition(A,addition(B,addition(one,X_76))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(B,addition(one,X_76))))),bind(Y,$fot(addition(addition(A,B),addition(one,X_76))))]]) ).
cnf(refute_0_417,plain,
addition(addition(A,B),addition(one,X_76)) = addition(A,addition(B,addition(one,X_76))),
inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(one,X_76))),addition(addition(A,B),addition(one,X_76))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(A,addition(B,addition(one,X_76)))
| addition(addition(A,B),addition(one,X_76)) != addition(one,addition(addition(A,B),addition(one,X_76)))
| addition(addition(A,B),addition(one,X_76)) = addition(one,addition(A,addition(B,addition(one,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(addition(A,B),addition(one,X_76)))) ),[1,1],$fot(addition(A,addition(B,addition(one,X_76))))]]) ).
cnf(refute_0_419,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(one,addition(addition(A,B),addition(one,X_76)))
| addition(addition(A,B),addition(one,X_76)) = addition(one,addition(A,addition(B,addition(one,X_76)))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(A,addition(B,addition(one,X_76)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
addition(addition(A,B),addition(one,X_76)) = addition(one,addition(A,addition(B,addition(one,X_76)))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(addition(A,B),addition(one,X_76)))) )],[refute_0_414,refute_0_419]) ).
cnf(refute_0_421,plain,
addition(X_77,addition(one,X_76)) = addition(one,addition(X_77,addition(one,X_76))),
inference(subst,[],[refute_0_413:[bind(X_38,$fot(X_76)),bind(X_69,$fot(X_77))]]) ).
cnf(refute_0_422,plain,
addition(addition(one,X_76),X_77) = addition(X_77,addition(one,X_76)),
inference(subst,[],[refute_0_6:[bind(A,$fot(addition(one,X_76))),bind(B,$fot(X_77))]]) ).
cnf(refute_0_423,plain,
( addition(addition(one,X_76),X_77) != addition(X_77,addition(one,X_76))
| addition(X_77,addition(one,X_76)) = addition(addition(one,X_76),X_77) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(addition(one,X_76),X_77))),bind(Y,$fot(addition(X_77,addition(one,X_76))))]]) ).
cnf(refute_0_424,plain,
addition(X_77,addition(one,X_76)) = addition(addition(one,X_76),X_77),
inference(resolve,[$cnf( $equal(addition(addition(one,X_76),X_77),addition(X_77,addition(one,X_76))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( addition(X_77,addition(one,X_76)) != addition(addition(one,X_76),X_77)
| addition(X_77,addition(one,X_76)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(addition(one,X_76),X_77) = addition(one,addition(X_77,addition(one,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_77,addition(one,X_76)),addition(one,addition(X_77,addition(one,X_76)))) ),[0],$fot(addition(addition(one,X_76),X_77))]]) ).
cnf(refute_0_426,plain,
( addition(X_77,addition(one,X_76)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(addition(one,X_76),X_77) = addition(one,addition(X_77,addition(one,X_76))) ),
inference(resolve,[$cnf( $equal(addition(X_77,addition(one,X_76)),addition(addition(one,X_76),X_77)) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
addition(addition(one,X_76),X_77) = addition(one,addition(X_77,addition(one,X_76))),
inference(resolve,[$cnf( $equal(addition(X_77,addition(one,X_76)),addition(one,addition(X_77,addition(one,X_76)))) )],[refute_0_421,refute_0_426]) ).
cnf(refute_0_428,plain,
addition(addition(one,X_76),X_77) = addition(one,addition(X_76,X_77)),
inference(subst,[],[refute_0_126:[bind(A,$fot(one)),bind(B,$fot(X_76)),bind(C,$fot(X_77))]]) ).
cnf(refute_0_429,plain,
( addition(addition(one,X_76),X_77) != addition(one,addition(X_76,X_77))
| addition(addition(one,X_76),X_77) != addition(one,addition(X_77,addition(one,X_76)))
| addition(one,addition(X_76,X_77)) = addition(one,addition(X_77,addition(one,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_76),X_77),addition(one,addition(X_77,addition(one,X_76)))) ),[0],$fot(addition(one,addition(X_76,X_77)))]]) ).
cnf(refute_0_430,plain,
( addition(addition(one,X_76),X_77) != addition(one,addition(X_77,addition(one,X_76)))
| addition(one,addition(X_76,X_77)) = addition(one,addition(X_77,addition(one,X_76))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_76),X_77),addition(one,addition(X_76,X_77))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
( addition(X_69,addition(one,X_38)) != addition(one,addition(X_69,addition(one,X_38)))
| addition(one,addition(X_69,addition(one,X_38))) = addition(X_69,addition(one,X_38)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(one,X_38)))),bind(Y,$fot(addition(one,addition(X_69,addition(one,X_38)))))]]) ).
cnf(refute_0_432,plain,
addition(one,addition(X_69,addition(one,X_38))) = addition(X_69,addition(one,X_38)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,X_38)),addition(one,addition(X_69,addition(one,X_38)))) )],[refute_0_413,refute_0_431]) ).
cnf(refute_0_433,plain,
addition(one,addition(X_77,addition(one,X_76))) = addition(X_77,addition(one,X_76)),
inference(subst,[],[refute_0_432:[bind(X_38,$fot(X_76)),bind(X_69,$fot(X_77))]]) ).
cnf(refute_0_434,plain,
( addition(one,addition(X_76,X_77)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(one,addition(X_77,addition(one,X_76))) != addition(X_77,addition(one,X_76))
| addition(one,addition(X_76,X_77)) = addition(X_77,addition(one,X_76)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(X_76,X_77)),addition(X_77,addition(one,X_76))) ),[0],$fot(addition(one,addition(X_77,addition(one,X_76))))]]) ).
cnf(refute_0_435,plain,
( addition(one,addition(X_76,X_77)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(one,addition(X_76,X_77)) = addition(X_77,addition(one,X_76)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_77,addition(one,X_76))),addition(X_77,addition(one,X_76))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
( addition(addition(one,X_76),X_77) != addition(one,addition(X_77,addition(one,X_76)))
| addition(one,addition(X_76,X_77)) = addition(X_77,addition(one,X_76)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_76,X_77)),addition(one,addition(X_77,addition(one,X_76)))) )],[refute_0_430,refute_0_435]) ).
cnf(refute_0_437,plain,
addition(one,addition(X_76,X_77)) = addition(X_77,addition(one,X_76)),
inference(resolve,[$cnf( $equal(addition(addition(one,X_76),X_77),addition(one,addition(X_77,addition(one,X_76)))) )],[refute_0_427,refute_0_436]) ).
cnf(refute_0_438,plain,
( addition(one,addition(X_76,X_77)) != addition(X_77,addition(one,X_76))
| addition(X_77,addition(one,X_76)) = addition(one,addition(X_76,X_77)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(one,addition(X_76,X_77)))),bind(Y,$fot(addition(X_77,addition(one,X_76))))]]) ).
cnf(refute_0_439,plain,
addition(X_77,addition(one,X_76)) = addition(one,addition(X_76,X_77)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_76,X_77)),addition(X_77,addition(one,X_76))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
addition(addition(A,B),addition(one,X_76)) = addition(one,addition(X_76,addition(A,B))),
inference(subst,[],[refute_0_439:[bind(X_77,$fot(addition(A,B)))]]) ).
cnf(refute_0_441,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(one,addition(A,addition(B,addition(one,X_76))))
| addition(addition(A,B),addition(one,X_76)) != addition(one,addition(X_76,addition(A,B)))
| addition(one,addition(X_76,addition(A,B))) = addition(one,addition(A,addition(B,addition(one,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(A,addition(B,addition(one,X_76))))) ),[0],$fot(addition(one,addition(X_76,addition(A,B))))]]) ).
cnf(refute_0_442,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(one,addition(A,addition(B,addition(one,X_76))))
| addition(one,addition(X_76,addition(A,B))) = addition(one,addition(A,addition(B,addition(one,X_76)))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(X_76,addition(A,B)))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(one,addition(X_69,addition(one,addition(X_77,addition(one,X_76))))),
inference(subst,[],[refute_0_413:[bind(X_38,$fot(addition(X_77,addition(one,X_76))))]]) ).
cnf(refute_0_444,plain,
( addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) != addition(one,addition(X_69,addition(one,addition(X_77,addition(one,X_76)))))
| addition(one,addition(X_77,addition(one,X_76))) != addition(X_77,addition(one,X_76))
| addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(one,addition(X_69,addition(X_77,addition(one,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),addition(one,addition(X_69,addition(one,addition(X_77,addition(one,X_76)))))) ),[1,1,1],$fot(addition(X_77,addition(one,X_76)))]]) ).
cnf(refute_0_445,plain,
( addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) != addition(one,addition(X_69,addition(one,addition(X_77,addition(one,X_76)))))
| addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(one,addition(X_69,addition(X_77,addition(one,X_76)))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_77,addition(one,X_76))),addition(X_77,addition(one,X_76))) )],[refute_0_433,refute_0_444]) ).
cnf(refute_0_446,plain,
addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(one,addition(X_69,addition(X_77,addition(one,X_76)))),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),addition(one,addition(X_69,addition(one,addition(X_77,addition(one,X_76)))))) )],[refute_0_443,refute_0_445]) ).
cnf(refute_0_447,plain,
addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),
introduced(tautology,[refl,[$fot(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))))]]) ).
cnf(refute_0_448,plain,
( addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) != addition(X_69,addition(one,addition(X_77,addition(one,X_76))))
| addition(one,addition(X_77,addition(one,X_76))) != addition(X_77,addition(one,X_76))
| addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(X_69,addition(X_77,addition(one,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),addition(X_69,addition(one,addition(X_77,addition(one,X_76))))) ),[1,1],$fot(addition(X_77,addition(one,X_76)))]]) ).
cnf(refute_0_449,plain,
( addition(one,addition(X_77,addition(one,X_76))) != addition(X_77,addition(one,X_76))
| addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(X_69,addition(X_77,addition(one,X_76))) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),addition(X_69,addition(one,addition(X_77,addition(one,X_76))))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) = addition(X_69,addition(X_77,addition(one,X_76))),
inference(resolve,[$cnf( $equal(addition(one,addition(X_77,addition(one,X_76))),addition(X_77,addition(one,X_76))) )],[refute_0_433,refute_0_449]) ).
cnf(refute_0_451,plain,
( addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) != addition(X_69,addition(X_77,addition(one,X_76)))
| addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) != addition(one,addition(X_69,addition(X_77,addition(one,X_76))))
| addition(X_69,addition(X_77,addition(one,X_76))) = addition(one,addition(X_69,addition(X_77,addition(one,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),addition(one,addition(X_69,addition(X_77,addition(one,X_76))))) ),[0],$fot(addition(X_69,addition(X_77,addition(one,X_76))))]]) ).
cnf(refute_0_452,plain,
( addition(X_69,addition(one,addition(X_77,addition(one,X_76)))) != addition(one,addition(X_69,addition(X_77,addition(one,X_76))))
| addition(X_69,addition(X_77,addition(one,X_76))) = addition(one,addition(X_69,addition(X_77,addition(one,X_76)))) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),addition(X_69,addition(X_77,addition(one,X_76)))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
addition(X_69,addition(X_77,addition(one,X_76))) = addition(one,addition(X_69,addition(X_77,addition(one,X_76)))),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_77,addition(one,X_76)))),addition(one,addition(X_69,addition(X_77,addition(one,X_76))))) )],[refute_0_446,refute_0_452]) ).
cnf(refute_0_454,plain,
( addition(X_69,addition(X_77,addition(one,X_76))) != addition(one,addition(X_69,addition(X_77,addition(one,X_76))))
| addition(one,addition(X_69,addition(X_77,addition(one,X_76)))) = addition(X_69,addition(X_77,addition(one,X_76))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(X_77,addition(one,X_76))))),bind(Y,$fot(addition(one,addition(X_69,addition(X_77,addition(one,X_76))))))]]) ).
cnf(refute_0_455,plain,
addition(one,addition(X_69,addition(X_77,addition(one,X_76)))) = addition(X_69,addition(X_77,addition(one,X_76))),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_77,addition(one,X_76))),addition(one,addition(X_69,addition(X_77,addition(one,X_76))))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
addition(one,addition(A,addition(B,addition(one,X_76)))) = addition(A,addition(B,addition(one,X_76))),
inference(subst,[],[refute_0_455:[bind(X_69,$fot(A)),bind(X_77,$fot(B))]]) ).
cnf(refute_0_457,plain,
( addition(one,addition(A,addition(B,addition(one,X_76)))) != addition(A,addition(B,addition(one,X_76)))
| addition(one,addition(X_76,addition(A,B))) != addition(one,addition(A,addition(B,addition(one,X_76))))
| addition(one,addition(X_76,addition(A,B))) = addition(A,addition(B,addition(one,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_76,addition(A,B))),addition(one,addition(A,addition(B,addition(one,X_76))))) ),[1],$fot(addition(A,addition(B,addition(one,X_76))))]]) ).
cnf(refute_0_458,plain,
( addition(one,addition(X_76,addition(A,B))) != addition(one,addition(A,addition(B,addition(one,X_76))))
| addition(one,addition(X_76,addition(A,B))) = addition(A,addition(B,addition(one,X_76))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(A,addition(B,addition(one,X_76)))),addition(A,addition(B,addition(one,X_76)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(one,addition(A,addition(B,addition(one,X_76))))
| addition(one,addition(X_76,addition(A,B))) = addition(A,addition(B,addition(one,X_76))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_76,addition(A,B))),addition(one,addition(A,addition(B,addition(one,X_76))))) )],[refute_0_442,refute_0_458]) ).
cnf(refute_0_460,plain,
addition(one,addition(X_76,addition(A,B))) = addition(A,addition(B,addition(one,X_76))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(A,addition(B,addition(one,X_76))))) )],[refute_0_420,refute_0_459]) ).
cnf(refute_0_461,plain,
( addition(one,addition(X_76,addition(A,B))) != addition(A,addition(B,addition(one,X_76)))
| addition(A,addition(B,addition(one,X_76))) = addition(one,addition(X_76,addition(A,B))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(one,addition(X_76,addition(A,B))))),bind(Y,$fot(addition(A,addition(B,addition(one,X_76)))))]]) ).
cnf(refute_0_462,plain,
addition(A,addition(B,addition(one,X_76))) = addition(one,addition(X_76,addition(A,B))),
inference(resolve,[$cnf( $equal(addition(one,addition(X_76,addition(A,B))),addition(A,addition(B,addition(one,X_76)))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),
inference(subst,[],[refute_0_462:[bind(A,$fot(addition(X_78,X_69))),bind(B,$fot(X_78)),bind(X_76,$fot(X_69))]]) ).
cnf(refute_0_464,plain,
addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) = addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))),
inference(subst,[],[refute_0_455:[bind(X_69,$fot(addition(X_78,X_69))),bind(X_76,$fot(X_69)),bind(X_77,$fot(X_78))]]) ).
cnf(refute_0_465,plain,
( addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) != addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))
| addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))))),bind(Y,$fot(addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))),bind(Z,$fot(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))))]]) ).
cnf(refute_0_466,plain,
( addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))),addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),
inference(resolve,[$cnf( $equal(addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) = addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(one)),bind(X_71,$fot(addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))))]]) ).
cnf(refute_0_469,plain,
( addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) != addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))
| addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))))),bind(Y,$fot(addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))))),bind(Z,$fot(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))))]]) ).
cnf(refute_0_470,plain,
( addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))),addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(A,addition(B,addition(one,X_76)))
| addition(addition(A,B),addition(one,X_76)) != addition(one,addition(addition(A,B),addition(one,X_76)))
| addition(A,addition(B,addition(one,X_76))) = addition(one,addition(addition(A,B),addition(one,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(addition(A,B),addition(one,X_76)))) ),[0],$fot(addition(A,addition(B,addition(one,X_76))))]]) ).
cnf(refute_0_473,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(one,addition(addition(A,B),addition(one,X_76)))
| addition(A,addition(B,addition(one,X_76))) = addition(one,addition(addition(A,B),addition(one,X_76))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(A,addition(B,addition(one,X_76)))) )],[refute_0_417,refute_0_472]) ).
cnf(refute_0_474,plain,
addition(A,addition(B,addition(one,X_76))) = addition(one,addition(addition(A,B),addition(one,X_76))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(addition(A,B),addition(one,X_76)))) )],[refute_0_414,refute_0_473]) ).
cnf(refute_0_475,plain,
addition(addition(A,B),X_76) = addition(A,addition(B,X_76)),
inference(subst,[],[refute_0_126:[bind(C,$fot(X_76))]]) ).
cnf(refute_0_476,plain,
addition(one,addition(addition(A,B),X_76)) = addition(one,addition(addition(A,B),X_76)),
introduced(tautology,[refl,[$fot(addition(one,addition(addition(A,B),X_76)))]]) ).
cnf(refute_0_477,plain,
( addition(addition(A,B),X_76) != addition(A,addition(B,X_76))
| addition(one,addition(addition(A,B),X_76)) != addition(one,addition(addition(A,B),X_76))
| addition(one,addition(addition(A,B),X_76)) = addition(one,addition(A,addition(B,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(addition(A,B),X_76)),addition(one,addition(addition(A,B),X_76))) ),[1,1],$fot(addition(A,addition(B,X_76)))]]) ).
cnf(refute_0_478,plain,
( addition(addition(A,B),X_76) != addition(A,addition(B,X_76))
| addition(one,addition(addition(A,B),X_76)) = addition(one,addition(A,addition(B,X_76))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(A,B),X_76)),addition(one,addition(addition(A,B),X_76))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
addition(one,addition(addition(A,B),X_76)) = addition(one,addition(A,addition(B,X_76))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),X_76),addition(A,addition(B,X_76))) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
addition(one,addition(B,addition(one,X_76))) = addition(addition(one,B),addition(one,X_76)),
inference(subst,[],[refute_0_101:[bind(A,$fot(one)),bind(C,$fot(addition(one,X_76)))]]) ).
cnf(refute_0_481,plain,
addition(B,addition(one,X_76)) = addition(one,addition(B,addition(one,X_76))),
inference(subst,[],[refute_0_413:[bind(X_38,$fot(X_76)),bind(X_69,$fot(B))]]) ).
cnf(refute_0_482,plain,
( addition(B,addition(one,X_76)) != addition(one,addition(B,addition(one,X_76)))
| addition(one,addition(B,addition(one,X_76))) = addition(B,addition(one,X_76)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(B,addition(one,X_76)))),bind(Y,$fot(addition(one,addition(B,addition(one,X_76)))))]]) ).
cnf(refute_0_483,plain,
addition(one,addition(B,addition(one,X_76))) = addition(B,addition(one,X_76)),
inference(resolve,[$cnf( $equal(addition(B,addition(one,X_76)),addition(one,addition(B,addition(one,X_76)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
( addition(one,addition(B,addition(one,X_76))) != addition(B,addition(one,X_76))
| addition(one,addition(B,addition(one,X_76))) != addition(addition(one,B),addition(one,X_76))
| addition(B,addition(one,X_76)) = addition(addition(one,B),addition(one,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(B,addition(one,X_76))),addition(addition(one,B),addition(one,X_76))) ),[0],$fot(addition(B,addition(one,X_76)))]]) ).
cnf(refute_0_485,plain,
( addition(one,addition(B,addition(one,X_76))) != addition(addition(one,B),addition(one,X_76))
| addition(B,addition(one,X_76)) = addition(addition(one,B),addition(one,X_76)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(B,addition(one,X_76))),addition(B,addition(one,X_76))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
addition(B,addition(one,X_76)) = addition(addition(one,B),addition(one,X_76)),
inference(resolve,[$cnf( $equal(addition(one,addition(B,addition(one,X_76))),addition(addition(one,B),addition(one,X_76))) )],[refute_0_480,refute_0_485]) ).
cnf(refute_0_487,plain,
addition(one,addition(one,addition(B,X_76))) = addition(one,addition(B,X_76)),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(one)),bind(X_71,$fot(addition(B,X_76)))]]) ).
cnf(refute_0_488,plain,
addition(addition(one,B),X_76) = addition(one,addition(B,X_76)),
inference(subst,[],[refute_0_126:[bind(A,$fot(one)),bind(C,$fot(X_76))]]) ).
cnf(refute_0_489,plain,
addition(one,addition(addition(one,B),X_76)) = addition(one,addition(addition(one,B),X_76)),
introduced(tautology,[refl,[$fot(addition(one,addition(addition(one,B),X_76)))]]) ).
cnf(refute_0_490,plain,
( addition(addition(one,B),X_76) != addition(one,addition(B,X_76))
| addition(one,addition(addition(one,B),X_76)) != addition(one,addition(addition(one,B),X_76))
| addition(one,addition(addition(one,B),X_76)) = addition(one,addition(one,addition(B,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(addition(one,B),X_76)),addition(one,addition(addition(one,B),X_76))) ),[1,1],$fot(addition(one,addition(B,X_76)))]]) ).
cnf(refute_0_491,plain,
( addition(addition(one,B),X_76) != addition(one,addition(B,X_76))
| addition(one,addition(addition(one,B),X_76)) = addition(one,addition(one,addition(B,X_76))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(one,B),X_76)),addition(one,addition(addition(one,B),X_76))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
addition(one,addition(addition(one,B),X_76)) = addition(one,addition(one,addition(B,X_76))),
inference(resolve,[$cnf( $equal(addition(addition(one,B),X_76),addition(one,addition(B,X_76))) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
( addition(one,addition(addition(one,B),X_76)) != addition(one,addition(one,addition(B,X_76)))
| addition(one,addition(one,addition(B,X_76))) != addition(one,addition(B,X_76))
| addition(one,addition(addition(one,B),X_76)) = addition(one,addition(B,X_76)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(addition(one,B),X_76)))),bind(Y,$fot(addition(one,addition(one,addition(B,X_76))))),bind(Z,$fot(addition(one,addition(B,X_76))))]]) ).
cnf(refute_0_494,plain,
( addition(one,addition(one,addition(B,X_76))) != addition(one,addition(B,X_76))
| addition(one,addition(addition(one,B),X_76)) = addition(one,addition(B,X_76)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(one,B),X_76)),addition(one,addition(one,addition(B,X_76)))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
addition(one,addition(addition(one,B),X_76)) = addition(one,addition(B,X_76)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,addition(B,X_76))),addition(one,addition(B,X_76))) )],[refute_0_487,refute_0_494]) ).
cnf(refute_0_496,plain,
addition(X_70,X_69) = addition(X_69,X_70),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_70)),bind(B,$fot(X_69))]]) ).
cnf(refute_0_497,plain,
( addition(X_70,X_69) != addition(X_69,X_70)
| addition(X_69,X_70) = addition(X_70,X_69) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_70,X_69))),bind(Y,$fot(addition(X_69,X_70)))]]) ).
cnf(refute_0_498,plain,
addition(X_69,X_70) = addition(X_70,X_69),
inference(resolve,[$cnf( $equal(addition(X_70,X_69),addition(X_69,X_70)) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
( addition(X_69,X_70) != addition(X_70,X_69)
| addition(X_69,addition(X_70,X_71)) != addition(addition(X_69,X_70),X_71)
| addition(X_69,addition(X_70,X_71)) = addition(addition(X_70,X_69),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(X_70,X_71)),addition(addition(X_69,X_70),X_71)) ),[1,0],$fot(addition(X_70,X_69))]]) ).
cnf(refute_0_500,plain,
( addition(X_69,addition(X_70,X_71)) != addition(addition(X_69,X_70),X_71)
| addition(X_69,addition(X_70,X_71)) = addition(addition(X_70,X_69),X_71) ),
inference(resolve,[$cnf( $equal(addition(X_69,X_70),addition(X_70,X_69)) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
addition(X_69,addition(X_70,X_71)) = addition(addition(X_70,X_69),X_71),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,X_71)),addition(addition(X_69,X_70),X_71)) )],[refute_0_118,refute_0_500]) ).
cnf(refute_0_502,plain,
addition(addition(X_70,X_69),X_71) = addition(X_70,addition(X_69,X_71)),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_70)),bind(B,$fot(X_69)),bind(C,$fot(X_71))]]) ).
cnf(refute_0_503,plain,
( addition(X_69,addition(X_70,X_71)) != addition(addition(X_70,X_69),X_71)
| addition(addition(X_70,X_69),X_71) != addition(X_70,addition(X_69,X_71))
| addition(X_69,addition(X_70,X_71)) = addition(X_70,addition(X_69,X_71)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_69,addition(X_70,X_71)),addition(X_70,addition(X_69,X_71))) ),[0],$fot(addition(addition(X_70,X_69),X_71))]]) ).
cnf(refute_0_504,plain,
( addition(X_69,addition(X_70,X_71)) != addition(addition(X_70,X_69),X_71)
| addition(X_69,addition(X_70,X_71)) = addition(X_70,addition(X_69,X_71)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_70,X_69),X_71),addition(X_70,addition(X_69,X_71))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
addition(X_69,addition(X_70,X_71)) = addition(X_70,addition(X_69,X_71)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,X_71)),addition(addition(X_70,X_69),X_71)) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
( addition(X_69,addition(X_70,X_71)) != addition(X_70,addition(X_69,X_71))
| addition(X_70,addition(X_69,X_71)) = addition(X_69,addition(X_70,X_71)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(X_70,X_71)))),bind(Y,$fot(addition(X_70,addition(X_69,X_71))))]]) ).
cnf(refute_0_507,plain,
addition(X_70,addition(X_69,X_71)) = addition(X_69,addition(X_70,X_71)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,X_71)),addition(X_70,addition(X_69,X_71))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
addition(addition(one,B),addition(one,X_76)) = addition(one,addition(addition(one,B),X_76)),
inference(subst,[],[refute_0_507:[bind(X_69,$fot(one)),bind(X_70,$fot(addition(one,B))),bind(X_71,$fot(X_76))]]) ).
cnf(refute_0_509,plain,
( addition(addition(one,B),addition(one,X_76)) != addition(one,addition(addition(one,B),X_76))
| addition(one,addition(addition(one,B),X_76)) != addition(one,addition(B,X_76))
| addition(addition(one,B),addition(one,X_76)) = addition(one,addition(B,X_76)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(one,B),addition(one,X_76)))),bind(Y,$fot(addition(one,addition(addition(one,B),X_76)))),bind(Z,$fot(addition(one,addition(B,X_76))))]]) ).
cnf(refute_0_510,plain,
( addition(one,addition(addition(one,B),X_76)) != addition(one,addition(B,X_76))
| addition(addition(one,B),addition(one,X_76)) = addition(one,addition(B,X_76)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,B),addition(one,X_76)),addition(one,addition(addition(one,B),X_76))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
addition(addition(one,B),addition(one,X_76)) = addition(one,addition(B,X_76)),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(one,B),X_76)),addition(one,addition(B,X_76))) )],[refute_0_495,refute_0_510]) ).
cnf(refute_0_512,plain,
( addition(B,addition(one,X_76)) != addition(addition(one,B),addition(one,X_76))
| addition(addition(one,B),addition(one,X_76)) != addition(one,addition(B,X_76))
| addition(B,addition(one,X_76)) = addition(one,addition(B,X_76)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(B,addition(one,X_76)),addition(one,addition(B,X_76))) ),[0],$fot(addition(addition(one,B),addition(one,X_76)))]]) ).
cnf(refute_0_513,plain,
( addition(B,addition(one,X_76)) != addition(addition(one,B),addition(one,X_76))
| addition(B,addition(one,X_76)) = addition(one,addition(B,X_76)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,B),addition(one,X_76)),addition(one,addition(B,X_76))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
addition(B,addition(one,X_76)) = addition(one,addition(B,X_76)),
inference(resolve,[$cnf( $equal(addition(B,addition(one,X_76)),addition(addition(one,B),addition(one,X_76))) )],[refute_0_486,refute_0_513]) ).
cnf(refute_0_515,plain,
addition(addition(A,B),addition(one,X_76)) = addition(one,addition(addition(A,B),X_76)),
inference(subst,[],[refute_0_514:[bind(B,$fot(addition(A,B)))]]) ).
cnf(refute_0_516,plain,
addition(one,addition(addition(A,B),addition(one,X_76))) = addition(addition(A,B),addition(one,X_76)),
inference(subst,[],[refute_0_432:[bind(X_38,$fot(X_76)),bind(X_69,$fot(addition(A,B)))]]) ).
cnf(refute_0_517,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(one,addition(addition(A,B),X_76))
| addition(one,addition(addition(A,B),addition(one,X_76))) != addition(addition(A,B),addition(one,X_76))
| addition(one,addition(addition(A,B),addition(one,X_76))) = addition(one,addition(addition(A,B),X_76)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(addition(A,B),addition(one,X_76))))),bind(Y,$fot(addition(addition(A,B),addition(one,X_76)))),bind(Z,$fot(addition(one,addition(addition(A,B),X_76))))]]) ).
cnf(refute_0_518,plain,
( addition(addition(A,B),addition(one,X_76)) != addition(one,addition(addition(A,B),X_76))
| addition(one,addition(addition(A,B),addition(one,X_76))) = addition(one,addition(addition(A,B),X_76)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(A,B),addition(one,X_76))),addition(addition(A,B),addition(one,X_76))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
addition(one,addition(addition(A,B),addition(one,X_76))) = addition(one,addition(addition(A,B),X_76)),
inference(resolve,[$cnf( $equal(addition(addition(A,B),addition(one,X_76)),addition(one,addition(addition(A,B),X_76))) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
( addition(one,addition(addition(A,B),X_76)) != addition(one,addition(A,addition(B,X_76)))
| addition(one,addition(addition(A,B),addition(one,X_76))) != addition(one,addition(addition(A,B),X_76))
| addition(one,addition(addition(A,B),addition(one,X_76))) = addition(one,addition(A,addition(B,X_76))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(addition(A,B),addition(one,X_76))))),bind(Y,$fot(addition(one,addition(addition(A,B),X_76)))),bind(Z,$fot(addition(one,addition(A,addition(B,X_76)))))]]) ).
cnf(refute_0_521,plain,
( addition(one,addition(addition(A,B),X_76)) != addition(one,addition(A,addition(B,X_76)))
| addition(one,addition(addition(A,B),addition(one,X_76))) = addition(one,addition(A,addition(B,X_76))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(A,B),addition(one,X_76))),addition(one,addition(addition(A,B),X_76))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
addition(one,addition(addition(A,B),addition(one,X_76))) = addition(one,addition(A,addition(B,X_76))),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(A,B),X_76)),addition(one,addition(A,addition(B,X_76)))) )],[refute_0_479,refute_0_521]) ).
cnf(refute_0_523,plain,
( addition(A,addition(B,addition(one,X_76))) != addition(one,addition(addition(A,B),addition(one,X_76)))
| addition(one,addition(addition(A,B),addition(one,X_76))) != addition(one,addition(A,addition(B,X_76)))
| addition(A,addition(B,addition(one,X_76))) = addition(one,addition(A,addition(B,X_76))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(B,addition(one,X_76))),addition(one,addition(A,addition(B,X_76)))) ),[0],$fot(addition(one,addition(addition(A,B),addition(one,X_76))))]]) ).
cnf(refute_0_524,plain,
( addition(A,addition(B,addition(one,X_76))) != addition(one,addition(addition(A,B),addition(one,X_76)))
| addition(A,addition(B,addition(one,X_76))) = addition(one,addition(A,addition(B,X_76))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(A,B),addition(one,X_76))),addition(one,addition(A,addition(B,X_76)))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
addition(A,addition(B,addition(one,X_76))) = addition(one,addition(A,addition(B,X_76))),
inference(resolve,[$cnf( $equal(addition(A,addition(B,addition(one,X_76))),addition(one,addition(addition(A,B),addition(one,X_76)))) )],[refute_0_474,refute_0_524]) ).
cnf(refute_0_526,plain,
addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))) = addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))),
inference(subst,[],[refute_0_525:[bind(A,$fot(one)),bind(B,$fot(addition(X_78,X_69))),bind(X_76,$fot(addition(X_78,addition(one,X_69))))]]) ).
cnf(refute_0_527,plain,
( addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))) != addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))))
| addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))))),bind(Y,$fot(addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))))),bind(Z,$fot(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))))]]) ).
cnf(refute_0_528,plain,
( addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))),addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69)))))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),
inference(resolve,[$cnf( $equal(addition(one,addition(one,addition(addition(X_78,X_69),addition(X_78,addition(one,X_69))))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) )],[refute_0_471,refute_0_528]) ).
cnf(refute_0_530,plain,
addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))) = addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))),
inference(subst,[],[refute_0_462:[bind(A,$fot(one)),bind(B,$fot(addition(X_78,addition(one,X_69)))),bind(X_76,$fot(addition(X_78,X_69)))]]) ).
cnf(refute_0_531,plain,
( addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))) != addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69)))))
| addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))))),bind(Y,$fot(addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))))),bind(Z,$fot(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))))]]) ).
cnf(refute_0_532,plain,
( addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))),addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69)))))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_78,X_69),addition(one,addition(X_78,addition(one,X_69))))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) )],[refute_0_529,refute_0_532]) ).
cnf(refute_0_534,plain,
addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) = addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))),
inference(subst,[],[refute_0_439:[bind(X_76,$fot(addition(X_78,addition(one,X_69)))),bind(X_77,$fot(addition(one,addition(X_78,X_69))))]]) ).
cnf(refute_0_535,plain,
( addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) != addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69))))
| addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))))),bind(Y,$fot(addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))))),bind(Z,$fot(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))))]]) ).
cnf(refute_0_536,plain,
( addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))),addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69))))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) = addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69)))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
( addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) != addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))
| addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) != addition(one,addition(X_78,X_69))
| addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) = addition(one,addition(X_78,X_69)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))))),bind(Y,$fot(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))))),bind(Z,$fot(addition(one,addition(X_78,X_69))))]]) ).
cnf(refute_0_539,plain,
( addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))) != addition(one,addition(X_78,X_69))
| addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) = addition(one,addition(X_78,X_69)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))),addition(one,addition(X_69,addition(addition(X_78,X_69),X_78)))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) = addition(one,addition(X_78,X_69)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_69,addition(addition(X_78,X_69),X_78))),addition(one,addition(X_78,X_69))) )],[refute_0_397,refute_0_539]) ).
cnf(refute_0_541,plain,
( addition(X_78,addition(one,X_69)) != addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))
| addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))) != addition(one,addition(X_78,X_69))
| addition(X_78,addition(one,X_69)) = addition(one,addition(X_78,X_69)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_78,addition(one,X_69)),addition(one,addition(X_78,X_69))) ),[0],$fot(addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))))]]) ).
cnf(refute_0_542,plain,
( addition(X_78,addition(one,X_69)) != addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))
| addition(X_78,addition(one,X_69)) = addition(one,addition(X_78,X_69)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69)))),addition(one,addition(X_78,X_69))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( addition(X_69,addition(one,addition(one,addition(X_78,X_69)))) != addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))
| addition(X_78,addition(one,X_69)) = addition(one,addition(X_78,X_69)) ),
inference(resolve,[$cnf( $equal(addition(X_78,addition(one,X_69)),addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))) )],[refute_0_378,refute_0_542]) ).
cnf(refute_0_544,plain,
addition(X_78,addition(one,X_69)) = addition(one,addition(X_78,X_69)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(one,addition(X_78,X_69)))),addition(addition(one,addition(X_78,X_69)),addition(one,addition(X_78,addition(one,X_69))))) )],[refute_0_368,refute_0_543]) ).
cnf(refute_0_545,plain,
addition(domain(X0),addition(one,addition(X_78,domain(X0)))) = addition(one,addition(domain(X0),addition(X_78,domain(X0)))),
inference(subst,[],[refute_0_544:[bind(X_69,$fot(addition(X_78,domain(X0)))),bind(X_78,$fot(domain(X0)))]]) ).
cnf(refute_0_546,plain,
( addition(domain(X0),addition(one,addition(X_78,domain(X0)))) != addition(one,addition(domain(X0),addition(X_78,domain(X0))))
| addition(one,addition(domain(X0),addition(X_78,domain(X0)))) != addition(one,addition(X_78,domain(X0)))
| addition(domain(X0),addition(one,addition(X_78,domain(X0)))) = addition(one,addition(X_78,domain(X0))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(domain(X0),addition(one,addition(X_78,domain(X0)))))),bind(Y,$fot(addition(one,addition(domain(X0),addition(X_78,domain(X0)))))),bind(Z,$fot(addition(one,addition(X_78,domain(X0)))))]]) ).
cnf(refute_0_547,plain,
( addition(one,addition(domain(X0),addition(X_78,domain(X0)))) != addition(one,addition(X_78,domain(X0)))
| addition(domain(X0),addition(one,addition(X_78,domain(X0)))) = addition(one,addition(X_78,domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),addition(one,addition(X_78,domain(X0)))),addition(one,addition(domain(X0),addition(X_78,domain(X0))))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
addition(domain(X0),addition(one,addition(X_78,domain(X0)))) = addition(one,addition(X_78,domain(X0))),
inference(resolve,[$cnf( $equal(addition(one,addition(domain(X0),addition(X_78,domain(X0)))),addition(one,addition(X_78,domain(X0)))) )],[refute_0_361,refute_0_547]) ).
cnf(refute_0_549,plain,
( addition(X_78,one) != addition(domain(X0),addition(one,addition(X_78,domain(X0))))
| addition(domain(X0),addition(one,addition(X_78,domain(X0)))) != addition(one,addition(X_78,domain(X0)))
| addition(X_78,one) = addition(one,addition(X_78,domain(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_78,one),addition(one,addition(X_78,domain(X0)))) ),[0],$fot(addition(domain(X0),addition(one,addition(X_78,domain(X0)))))]]) ).
cnf(refute_0_550,plain,
( addition(X_78,one) != addition(domain(X0),addition(one,addition(X_78,domain(X0))))
| addition(X_78,one) = addition(one,addition(X_78,domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),addition(one,addition(X_78,domain(X0)))),addition(one,addition(X_78,domain(X0)))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
addition(X_78,one) = addition(one,addition(X_78,domain(X0))),
inference(resolve,[$cnf( $equal(addition(X_78,one),addition(domain(X0),addition(one,addition(X_78,domain(X0))))) )],[refute_0_356,refute_0_550]) ).
cnf(refute_0_552,plain,
( addition(X_78,one) != addition(one,addition(X_78,domain(X0)))
| addition(one,addition(X_78,domain(X0))) = addition(X_78,one) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_78,one))),bind(Y,$fot(addition(one,addition(X_78,domain(X0)))))]]) ).
cnf(refute_0_553,plain,
addition(one,addition(X_78,domain(X0))) = addition(X_78,one),
inference(resolve,[$cnf( $equal(addition(X_78,one),addition(one,addition(X_78,domain(X0)))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
addition(one,addition(X_70,domain(X_313))) = addition(X_70,one),
inference(subst,[],[refute_0_553:[bind(X0,$fot(X_313)),bind(X_78,$fot(X_70))]]) ).
cnf(refute_0_555,plain,
( addition(antidomain(X_313),addition(X_70,domain(X_313))) != addition(one,addition(X_70,domain(X_313)))
| addition(one,addition(X_70,domain(X_313))) != addition(X_70,one)
| addition(antidomain(X_313),addition(X_70,domain(X_313))) = addition(X_70,one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_313),addition(X_70,domain(X_313))),addition(X_70,one)) ),[0],$fot(addition(one,addition(X_70,domain(X_313))))]]) ).
cnf(refute_0_556,plain,
( addition(antidomain(X_313),addition(X_70,domain(X_313))) != addition(one,addition(X_70,domain(X_313)))
| addition(antidomain(X_313),addition(X_70,domain(X_313))) = addition(X_70,one) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_70,domain(X_313))),addition(X_70,one)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
addition(antidomain(X_313),addition(X_70,domain(X_313))) = addition(X_70,one),
inference(resolve,[$cnf( $equal(addition(antidomain(X_313),addition(X_70,domain(X_313))),addition(one,addition(X_70,domain(X_313)))) )],[refute_0_171,refute_0_556]) ).
cnf(refute_0_558,plain,
addition(antidomain(X_317),addition(domain(X0),domain(X_317))) = addition(domain(X0),one),
inference(subst,[],[refute_0_557:[bind(X_313,$fot(X_317)),bind(X_70,$fot(domain(X0)))]]) ).
cnf(refute_0_559,plain,
domain(addition(X0,X_317)) = addition(domain(X0),domain(X_317)),
inference(subst,[],[refute_0_5:[bind(X1,$fot(X_317))]]) ).
cnf(refute_0_560,plain,
( domain(addition(X0,X_317)) != addition(domain(X0),domain(X_317))
| addition(domain(X0),domain(X_317)) = domain(addition(X0,X_317)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(addition(X0,X_317)))),bind(Y,$fot(addition(domain(X0),domain(X_317))))]]) ).
cnf(refute_0_561,plain,
addition(domain(X0),domain(X_317)) = domain(addition(X0,X_317)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X_317)),addition(domain(X0),domain(X_317))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
( addition(antidomain(X_317),addition(domain(X0),domain(X_317))) != addition(domain(X0),one)
| addition(domain(X0),domain(X_317)) != domain(addition(X0,X_317))
| addition(antidomain(X_317),domain(addition(X0,X_317))) = addition(domain(X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_317),addition(domain(X0),domain(X_317))),addition(domain(X0),one)) ),[0,1],$fot(domain(addition(X0,X_317)))]]) ).
cnf(refute_0_563,plain,
( addition(antidomain(X_317),addition(domain(X0),domain(X_317))) != addition(domain(X0),one)
| addition(antidomain(X_317),domain(addition(X0,X_317))) = addition(domain(X0),one) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X_317)),domain(addition(X0,X_317))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
addition(antidomain(X_317),domain(addition(X0,X_317))) = addition(domain(X0),one),
inference(resolve,[$cnf( $equal(addition(antidomain(X_317),addition(domain(X0),domain(X_317))),addition(domain(X0),one)) )],[refute_0_558,refute_0_563]) ).
cnf(refute_0_565,plain,
( addition(antidomain(X_317),domain(addition(X0,X_317))) != addition(domain(X0),one)
| addition(domain(X0),one) != one
| addition(antidomain(X_317),domain(addition(X0,X_317))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_317),domain(addition(X0,X_317))),one) ),[0],$fot(addition(domain(X0),one))]]) ).
cnf(refute_0_566,plain,
( addition(antidomain(X_317),domain(addition(X0,X_317))) != addition(domain(X0),one)
| addition(antidomain(X_317),domain(addition(X0,X_317))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_54,refute_0_565]) ).
cnf(refute_0_567,plain,
addition(antidomain(X_317),domain(addition(X0,X_317))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_317),domain(addition(X0,X_317))),addition(domain(X0),one)) )],[refute_0_564,refute_0_566]) ).
cnf(refute_0_568,plain,
addition(antidomain(multiplication(domain(X_995),X0)),domain(addition(X0,multiplication(domain(X_995),X0)))) = one,
inference(subst,[],[refute_0_567:[bind(X_317,$fot(multiplication(domain(X_995),X0)))]]) ).
cnf(refute_0_569,plain,
multiplication(addition(one,domain(X0)),X_293) = addition(X_293,multiplication(domain(X0),X_293)),
inference(subst,[],[refute_0_76:[bind(X_106,$fot(domain(X0))),bind(X_107,$fot(X_293))]]) ).
cnf(refute_0_570,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X_293) != addition(X_293,multiplication(domain(X0),X_293))
| multiplication(one,X_293) = addition(X_293,multiplication(domain(X0),X_293)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_293),addition(X_293,multiplication(domain(X0),X_293))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_571,plain,
( multiplication(addition(one,domain(X0)),X_293) != addition(X_293,multiplication(domain(X0),X_293))
| multiplication(one,X_293) = addition(X_293,multiplication(domain(X0),X_293)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_60,refute_0_570]) ).
cnf(refute_0_572,plain,
multiplication(one,X_293) = addition(X_293,multiplication(domain(X0),X_293)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_293),addition(X_293,multiplication(domain(X0),X_293))) )],[refute_0_569,refute_0_571]) ).
cnf(refute_0_573,plain,
multiplication(one,X_293) = X_293,
inference(subst,[],[refute_0_52:[bind(A,$fot(X_293))]]) ).
cnf(refute_0_574,plain,
( multiplication(one,X_293) != X_293
| multiplication(one,X_293) != addition(X_293,multiplication(domain(X0),X_293))
| X_293 = addition(X_293,multiplication(domain(X0),X_293)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_293),addition(X_293,multiplication(domain(X0),X_293))) ),[0],$fot(X_293)]]) ).
cnf(refute_0_575,plain,
( multiplication(one,X_293) != addition(X_293,multiplication(domain(X0),X_293))
| X_293 = addition(X_293,multiplication(domain(X0),X_293)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_293),X_293) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
X_293 = addition(X_293,multiplication(domain(X0),X_293)),
inference(resolve,[$cnf( $equal(multiplication(one,X_293),addition(X_293,multiplication(domain(X0),X_293))) )],[refute_0_572,refute_0_575]) ).
cnf(refute_0_577,plain,
X0 = addition(X0,multiplication(domain(X_995),X0)),
inference(subst,[],[refute_0_576:[bind(X0,$fot(X_995)),bind(X_293,$fot(X0))]]) ).
cnf(refute_0_578,plain,
( X0 != addition(X0,multiplication(domain(X_995),X0))
| addition(X0,multiplication(domain(X_995),X0)) = X0 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(X0)),bind(Y,$fot(addition(X0,multiplication(domain(X_995),X0))))]]) ).
cnf(refute_0_579,plain,
addition(X0,multiplication(domain(X_995),X0)) = X0,
inference(resolve,[$cnf( $equal(X0,addition(X0,multiplication(domain(X_995),X0))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
( addition(X0,multiplication(domain(X_995),X0)) != X0
| addition(antidomain(multiplication(domain(X_995),X0)),domain(addition(X0,multiplication(domain(X_995),X0)))) != one
| addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(domain(X_995),X0)),domain(addition(X0,multiplication(domain(X_995),X0)))),one) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_581,plain,
( addition(antidomain(multiplication(domain(X_995),X0)),domain(addition(X0,multiplication(domain(X_995),X0)))) != one
| addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X_995),X0)),X0) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_995),X0)),domain(addition(X0,multiplication(domain(X_995),X0)))),one) )],[refute_0_568,refute_0_581]) ).
cnf(refute_0_583,plain,
addition(X_932,domain(X_31)) = multiplication(domain(addition(domain(X_31),X_932)),addition(X_932,domain(X_31))),
inference(subst,[],[refute_0_85:[bind(X_255,$fot(X_932)),bind(X_256,$fot(domain(X_31)))]]) ).
cnf(refute_0_584,plain,
domain(addition(domain(X_31),X1)) = addition(domain(domain(X_31)),domain(X1)),
inference(subst,[],[refute_0_5:[bind(X0,$fot(domain(X_31)))]]) ).
cnf(refute_0_585,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_586,plain,
domain(multiplication(one,X_30)) = domain(multiplication(one,domain(X_30))),
inference(subst,[],[refute_0_585:[bind(X0,$fot(one)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_587,plain,
multiplication(one,domain(X_30)) = domain(X_30),
inference(subst,[],[refute_0_52:[bind(A,$fot(domain(X_30)))]]) ).
cnf(refute_0_588,plain,
( domain(multiplication(one,X_30)) != domain(multiplication(one,domain(X_30)))
| multiplication(one,domain(X_30)) != domain(X_30)
| domain(multiplication(one,X_30)) = domain(domain(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,domain(X_30)))) ),[1,0],$fot(domain(X_30))]]) ).
cnf(refute_0_589,plain,
( domain(multiplication(one,X_30)) != domain(multiplication(one,domain(X_30)))
| domain(multiplication(one,X_30)) = domain(domain(X_30)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_30)),domain(X_30)) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
domain(multiplication(one,X_30)) = domain(domain(X_30)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,domain(X_30)))) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
multiplication(one,X_30) = X_30,
inference(subst,[],[refute_0_52:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_592,plain,
domain(multiplication(one,X_30)) = domain(multiplication(one,X_30)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_30)))]]) ).
cnf(refute_0_593,plain,
( domain(multiplication(one,X_30)) != domain(multiplication(one,X_30))
| multiplication(one,X_30) != X_30
| domain(multiplication(one,X_30)) = domain(X_30) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,X_30))) ),[1,0],$fot(X_30)]]) ).
cnf(refute_0_594,plain,
( multiplication(one,X_30) != X_30
| domain(multiplication(one,X_30)) = domain(X_30) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,X_30))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
domain(multiplication(one,X_30)) = domain(X_30),
inference(resolve,[$cnf( $equal(multiplication(one,X_30),X_30) )],[refute_0_591,refute_0_594]) ).
cnf(refute_0_596,plain,
( domain(multiplication(one,X_30)) != domain(X_30)
| domain(multiplication(one,X_30)) != domain(domain(X_30))
| domain(X_30) = domain(domain(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_30)),domain(domain(X_30))) ),[0],$fot(domain(X_30))]]) ).
cnf(refute_0_597,plain,
( domain(multiplication(one,X_30)) != domain(domain(X_30))
| domain(X_30) = domain(domain(X_30)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(X_30)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
domain(X_30) = domain(domain(X_30)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(domain(X_30))) )],[refute_0_590,refute_0_597]) ).
cnf(refute_0_599,plain,
domain(X_31) = domain(domain(X_31)),
inference(subst,[],[refute_0_598:[bind(X_30,$fot(X_31))]]) ).
cnf(refute_0_600,plain,
( domain(X_31) != domain(domain(X_31))
| domain(domain(X_31)) = domain(X_31) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(X_31))),bind(Y,$fot(domain(domain(X_31))))]]) ).
cnf(refute_0_601,plain,
domain(domain(X_31)) = domain(X_31),
inference(resolve,[$cnf( $equal(domain(X_31),domain(domain(X_31))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
( domain(addition(domain(X_31),X1)) != addition(domain(domain(X_31)),domain(X1))
| domain(domain(X_31)) != domain(X_31)
| domain(addition(domain(X_31),X1)) = addition(domain(X_31),domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_31),X1)),addition(domain(domain(X_31)),domain(X1))) ),[1,0],$fot(domain(X_31))]]) ).
cnf(refute_0_603,plain,
( domain(addition(domain(X_31),X1)) != addition(domain(domain(X_31)),domain(X1))
| domain(addition(domain(X_31),X1)) = addition(domain(X_31),domain(X1)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_31)),domain(X_31)) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
domain(addition(domain(X_31),X1)) = addition(domain(X_31),domain(X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_31),X1)),addition(domain(domain(X_31)),domain(X1))) )],[refute_0_584,refute_0_603]) ).
cnf(refute_0_605,plain,
addition(domain(X_31),domain(X1)) = domain(addition(X_31,X1)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_31))]]) ).
cnf(refute_0_606,plain,
( addition(domain(X_31),domain(X1)) != domain(addition(X_31,X1))
| domain(addition(domain(X_31),X1)) != addition(domain(X_31),domain(X1))
| domain(addition(domain(X_31),X1)) = domain(addition(X_31,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_31),X1)),addition(domain(X_31),domain(X1))) ),[1],$fot(domain(addition(X_31,X1)))]]) ).
cnf(refute_0_607,plain,
( domain(addition(domain(X_31),X1)) != addition(domain(X_31),domain(X1))
| domain(addition(domain(X_31),X1)) = domain(addition(X_31,X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_31),domain(X1)),domain(addition(X_31,X1))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
domain(addition(domain(X_31),X1)) = domain(addition(X_31,X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_31),X1)),addition(domain(X_31),domain(X1))) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
domain(addition(domain(X_31),X_932)) = domain(addition(X_31,X_932)),
inference(subst,[],[refute_0_608:[bind(X1,$fot(X_932))]]) ).
cnf(refute_0_610,plain,
( addition(X_932,domain(X_31)) != multiplication(domain(addition(domain(X_31),X_932)),addition(X_932,domain(X_31)))
| domain(addition(domain(X_31),X_932)) != domain(addition(X_31,X_932))
| addition(X_932,domain(X_31)) = multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_932,domain(X_31)),multiplication(domain(addition(domain(X_31),X_932)),addition(X_932,domain(X_31)))) ),[1,0],$fot(domain(addition(X_31,X_932)))]]) ).
cnf(refute_0_611,plain,
( addition(X_932,domain(X_31)) != multiplication(domain(addition(domain(X_31),X_932)),addition(X_932,domain(X_31)))
| addition(X_932,domain(X_31)) = multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_31),X_932)),domain(addition(X_31,X_932))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
addition(X_932,domain(X_31)) = multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))),
inference(resolve,[$cnf( $equal(addition(X_932,domain(X_31)),multiplication(domain(addition(domain(X_31),X_932)),addition(X_932,domain(X_31)))) )],[refute_0_583,refute_0_611]) ).
cnf(refute_0_613,plain,
multiplication(domain(addition(domain(X_280),X_279)),addition(domain(X_280),X_279)) = addition(domain(X_280),X_279),
inference(subst,[],[refute_0_95:[bind(X_256,$fot(addition(domain(X_280),X_279)))]]) ).
cnf(refute_0_614,plain,
domain(addition(domain(X_280),X_279)) = domain(addition(X_280,X_279)),
inference(subst,[],[refute_0_608:[bind(X1,$fot(X_279)),bind(X_31,$fot(X_280))]]) ).
cnf(refute_0_615,plain,
( domain(addition(domain(X_280),X_279)) != domain(addition(X_280,X_279))
| multiplication(domain(addition(domain(X_280),X_279)),addition(domain(X_280),X_279)) != addition(domain(X_280),X_279)
| multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)) = addition(domain(X_280),X_279) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(domain(X_280),X_279)),addition(domain(X_280),X_279)),addition(domain(X_280),X_279)) ),[0,0],$fot(domain(addition(X_280,X_279)))]]) ).
cnf(refute_0_616,plain,
( multiplication(domain(addition(domain(X_280),X_279)),addition(domain(X_280),X_279)) != addition(domain(X_280),X_279)
| multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)) = addition(domain(X_280),X_279) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_280),X_279)),domain(addition(X_280,X_279))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)) = addition(domain(X_280),X_279),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(domain(X_280),X_279)),addition(domain(X_280),X_279)),addition(domain(X_280),X_279)) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)) = addition(multiplication(domain(addition(X_950,X_949)),domain(X_950)),multiplication(domain(addition(X_950,X_949)),C)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(addition(X_950,X_949)))),bind(B,$fot(domain(X_950)))]]) ).
cnf(refute_0_619,plain,
multiplication(addition(domain(X_478),B),domain(X_478)) = addition(multiplication(domain(X_478),domain(X_478)),multiplication(B,domain(X_478))),
inference(subst,[],[refute_0_71:[bind(A,$fot(domain(X_478))),bind(C,$fot(domain(X_478)))]]) ).
cnf(refute_0_620,plain,
addition(domain(X_31),multiplication(domain(domain(X_31)),domain(X_31))) = multiplication(domain(domain(X_31)),domain(X_31)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(domain(X_31)))]]) ).
cnf(refute_0_621,plain,
( addition(domain(X_31),multiplication(domain(domain(X_31)),domain(X_31))) != multiplication(domain(domain(X_31)),domain(X_31))
| domain(domain(X_31)) != domain(X_31)
| addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = multiplication(domain(domain(X_31)),domain(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_31),multiplication(domain(domain(X_31)),domain(X_31))),multiplication(domain(domain(X_31)),domain(X_31))) ),[0,1,0],$fot(domain(X_31))]]) ).
cnf(refute_0_622,plain,
( addition(domain(X_31),multiplication(domain(domain(X_31)),domain(X_31))) != multiplication(domain(domain(X_31)),domain(X_31))
| addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = multiplication(domain(domain(X_31)),domain(X_31)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_31)),domain(X_31)) )],[refute_0_601,refute_0_621]) ).
cnf(refute_0_623,plain,
addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = multiplication(domain(domain(X_31)),domain(X_31)),
inference(resolve,[$cnf( $equal(addition(domain(X_31),multiplication(domain(domain(X_31)),domain(X_31))),multiplication(domain(domain(X_31)),domain(X_31))) )],[refute_0_620,refute_0_622]) ).
cnf(refute_0_624,plain,
multiplication(domain(domain(X_31)),domain(X_31)) = multiplication(domain(domain(X_31)),domain(X_31)),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X_31)),domain(X_31)))]]) ).
cnf(refute_0_625,plain,
( domain(domain(X_31)) != domain(X_31)
| multiplication(domain(domain(X_31)),domain(X_31)) != multiplication(domain(domain(X_31)),domain(X_31))
| multiplication(domain(domain(X_31)),domain(X_31)) = multiplication(domain(X_31),domain(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_31)),domain(X_31)),multiplication(domain(domain(X_31)),domain(X_31))) ),[1,0],$fot(domain(X_31))]]) ).
cnf(refute_0_626,plain,
( domain(domain(X_31)) != domain(X_31)
| multiplication(domain(domain(X_31)),domain(X_31)) = multiplication(domain(X_31),domain(X_31)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_31)),domain(X_31)),multiplication(domain(domain(X_31)),domain(X_31))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
multiplication(domain(domain(X_31)),domain(X_31)) = multiplication(domain(X_31),domain(X_31)),
inference(resolve,[$cnf( $equal(domain(domain(X_31)),domain(X_31)) )],[refute_0_601,refute_0_626]) ).
cnf(refute_0_628,plain,
( addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) != multiplication(domain(domain(X_31)),domain(X_31))
| multiplication(domain(domain(X_31)),domain(X_31)) != multiplication(domain(X_31),domain(X_31))
| addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = multiplication(domain(X_31),domain(X_31)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(X_31),multiplication(domain(X_31),domain(X_31))),multiplication(domain(X_31),domain(X_31))) ),[0],$fot(multiplication(domain(domain(X_31)),domain(X_31)))]]) ).
cnf(refute_0_629,plain,
( addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) != multiplication(domain(domain(X_31)),domain(X_31))
| addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = multiplication(domain(X_31),domain(X_31)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_31)),domain(X_31)),multiplication(domain(X_31),domain(X_31))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = multiplication(domain(X_31),domain(X_31)),
inference(resolve,[$cnf( $equal(addition(domain(X_31),multiplication(domain(X_31),domain(X_31))),multiplication(domain(domain(X_31)),domain(X_31))) )],[refute_0_623,refute_0_629]) ).
cnf(refute_0_631,plain,
multiplication(domain(X_31),one) = domain(X_31),
inference(subst,[],[refute_0_178:[bind(A,$fot(domain(X_31)))]]) ).
cnf(refute_0_632,plain,
addition(one,domain(X_31)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(X_31))]]) ).
cnf(refute_0_633,plain,
multiplication(domain(X_31),addition(one,domain(X_31))) = multiplication(domain(X_31),addition(one,domain(X_31))),
introduced(tautology,[refl,[$fot(multiplication(domain(X_31),addition(one,domain(X_31))))]]) ).
cnf(refute_0_634,plain,
( addition(one,domain(X_31)) != one
| multiplication(domain(X_31),addition(one,domain(X_31))) != multiplication(domain(X_31),addition(one,domain(X_31)))
| multiplication(domain(X_31),addition(one,domain(X_31))) = multiplication(domain(X_31),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_31),addition(one,domain(X_31))),multiplication(domain(X_31),addition(one,domain(X_31)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_635,plain,
( addition(one,domain(X_31)) != one
| multiplication(domain(X_31),addition(one,domain(X_31))) = multiplication(domain(X_31),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),addition(one,domain(X_31))),multiplication(domain(X_31),addition(one,domain(X_31)))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
multiplication(domain(X_31),addition(one,domain(X_31))) = multiplication(domain(X_31),one),
inference(resolve,[$cnf( $equal(addition(one,domain(X_31)),one) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( multiplication(domain(X_31),addition(one,domain(X_31))) != multiplication(domain(X_31),one)
| multiplication(domain(X_31),one) != domain(X_31)
| multiplication(domain(X_31),addition(one,domain(X_31))) = domain(X_31) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(X_31),addition(one,domain(X_31))))),bind(Y,$fot(multiplication(domain(X_31),one))),bind(Z,$fot(domain(X_31)))]]) ).
cnf(refute_0_638,plain,
( multiplication(domain(X_31),one) != domain(X_31)
| multiplication(domain(X_31),addition(one,domain(X_31))) = domain(X_31) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),addition(one,domain(X_31))),multiplication(domain(X_31),one)) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
multiplication(domain(X_31),addition(one,domain(X_31))) = domain(X_31),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),one),domain(X_31)) )],[refute_0_631,refute_0_638]) ).
cnf(refute_0_640,plain,
multiplication(X_92,addition(one,X_94)) = addition(multiplication(X_92,one),multiplication(X_92,X_94)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_92)),bind(B,$fot(one)),bind(C,$fot(X_94))]]) ).
cnf(refute_0_641,plain,
multiplication(X_92,one) = X_92,
inference(subst,[],[refute_0_178:[bind(A,$fot(X_92))]]) ).
cnf(refute_0_642,plain,
( multiplication(X_92,addition(one,X_94)) != addition(multiplication(X_92,one),multiplication(X_92,X_94))
| multiplication(X_92,one) != X_92
| multiplication(X_92,addition(one,X_94)) = addition(X_92,multiplication(X_92,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(one,X_94)),addition(multiplication(X_92,one),multiplication(X_92,X_94))) ),[1,0],$fot(X_92)]]) ).
cnf(refute_0_643,plain,
( multiplication(X_92,addition(one,X_94)) != addition(multiplication(X_92,one),multiplication(X_92,X_94))
| multiplication(X_92,addition(one,X_94)) = addition(X_92,multiplication(X_92,X_94)) ),
inference(resolve,[$cnf( $equal(multiplication(X_92,one),X_92) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
multiplication(X_92,addition(one,X_94)) = addition(X_92,multiplication(X_92,X_94)),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,X_94)),addition(multiplication(X_92,one),multiplication(X_92,X_94))) )],[refute_0_640,refute_0_643]) ).
cnf(refute_0_645,plain,
( multiplication(X_92,addition(one,X_94)) != addition(X_92,multiplication(X_92,X_94))
| addition(X_92,multiplication(X_92,X_94)) = multiplication(X_92,addition(one,X_94)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(X_92,addition(one,X_94)))),bind(Y,$fot(addition(X_92,multiplication(X_92,X_94))))]]) ).
cnf(refute_0_646,plain,
addition(X_92,multiplication(X_92,X_94)) = multiplication(X_92,addition(one,X_94)),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,X_94)),addition(X_92,multiplication(X_92,X_94))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = multiplication(domain(X_31),addition(one,domain(X_31))),
inference(subst,[],[refute_0_646:[bind(X_92,$fot(domain(X_31))),bind(X_94,$fot(domain(X_31)))]]) ).
cnf(refute_0_648,plain,
( addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) != multiplication(domain(X_31),addition(one,domain(X_31)))
| multiplication(domain(X_31),addition(one,domain(X_31))) != domain(X_31)
| addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = domain(X_31) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(domain(X_31),multiplication(domain(X_31),domain(X_31))))),bind(Y,$fot(multiplication(domain(X_31),addition(one,domain(X_31))))),bind(Z,$fot(domain(X_31)))]]) ).
cnf(refute_0_649,plain,
( multiplication(domain(X_31),addition(one,domain(X_31))) != domain(X_31)
| addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = domain(X_31) ),
inference(resolve,[$cnf( $equal(addition(domain(X_31),multiplication(domain(X_31),domain(X_31))),multiplication(domain(X_31),addition(one,domain(X_31)))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) = domain(X_31),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),addition(one,domain(X_31))),domain(X_31)) )],[refute_0_639,refute_0_649]) ).
cnf(refute_0_651,plain,
( addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) != domain(X_31)
| addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) != multiplication(domain(X_31),domain(X_31))
| domain(X_31) = multiplication(domain(X_31),domain(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_31),multiplication(domain(X_31),domain(X_31))),multiplication(domain(X_31),domain(X_31))) ),[0],$fot(domain(X_31))]]) ).
cnf(refute_0_652,plain,
( addition(domain(X_31),multiplication(domain(X_31),domain(X_31))) != multiplication(domain(X_31),domain(X_31))
| domain(X_31) = multiplication(domain(X_31),domain(X_31)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_31),multiplication(domain(X_31),domain(X_31))),domain(X_31)) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
domain(X_31) = multiplication(domain(X_31),domain(X_31)),
inference(resolve,[$cnf( $equal(addition(domain(X_31),multiplication(domain(X_31),domain(X_31))),multiplication(domain(X_31),domain(X_31))) )],[refute_0_630,refute_0_652]) ).
cnf(refute_0_654,plain,
domain(X_478) = multiplication(domain(X_478),domain(X_478)),
inference(subst,[],[refute_0_653:[bind(X_31,$fot(X_478))]]) ).
cnf(refute_0_655,plain,
( domain(X_478) != multiplication(domain(X_478),domain(X_478))
| multiplication(domain(X_478),domain(X_478)) = domain(X_478) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(X_478))),bind(Y,$fot(multiplication(domain(X_478),domain(X_478))))]]) ).
cnf(refute_0_656,plain,
multiplication(domain(X_478),domain(X_478)) = domain(X_478),
inference(resolve,[$cnf( $equal(domain(X_478),multiplication(domain(X_478),domain(X_478))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
( multiplication(addition(domain(X_478),B),domain(X_478)) != addition(multiplication(domain(X_478),domain(X_478)),multiplication(B,domain(X_478)))
| multiplication(domain(X_478),domain(X_478)) != domain(X_478)
| multiplication(addition(domain(X_478),B),domain(X_478)) = addition(domain(X_478),multiplication(B,domain(X_478))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_478),B),domain(X_478)),addition(multiplication(domain(X_478),domain(X_478)),multiplication(B,domain(X_478)))) ),[1,0],$fot(domain(X_478))]]) ).
cnf(refute_0_658,plain,
( multiplication(addition(domain(X_478),B),domain(X_478)) != addition(multiplication(domain(X_478),domain(X_478)),multiplication(B,domain(X_478)))
| multiplication(addition(domain(X_478),B),domain(X_478)) = addition(domain(X_478),multiplication(B,domain(X_478))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_478),domain(X_478)),domain(X_478)) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
multiplication(addition(domain(X_478),B),domain(X_478)) = addition(domain(X_478),multiplication(B,domain(X_478))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_478),B),domain(X_478)),addition(multiplication(domain(X_478),domain(X_478)),multiplication(B,domain(X_478)))) )],[refute_0_619,refute_0_658]) ).
cnf(refute_0_660,plain,
multiplication(addition(X_105,one),X_107) = addition(multiplication(X_105,X_107),multiplication(one,X_107)),
inference(subst,[],[refute_0_71:[bind(A,$fot(X_105)),bind(B,$fot(one)),bind(C,$fot(X_107))]]) ).
cnf(refute_0_661,plain,
( multiplication(addition(X_105,one),X_107) != addition(multiplication(X_105,X_107),multiplication(one,X_107))
| multiplication(one,X_107) != X_107
| multiplication(addition(X_105,one),X_107) = addition(multiplication(X_105,X_107),X_107) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_105,one),X_107),addition(multiplication(X_105,X_107),multiplication(one,X_107))) ),[1,1],$fot(X_107)]]) ).
cnf(refute_0_662,plain,
( multiplication(addition(X_105,one),X_107) != addition(multiplication(X_105,X_107),multiplication(one,X_107))
| multiplication(addition(X_105,one),X_107) = addition(multiplication(X_105,X_107),X_107) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_107),X_107) )],[refute_0_73,refute_0_661]) ).
cnf(refute_0_663,plain,
multiplication(addition(X_105,one),X_107) = addition(multiplication(X_105,X_107),X_107),
inference(resolve,[$cnf( $equal(multiplication(addition(X_105,one),X_107),addition(multiplication(X_105,X_107),multiplication(one,X_107))) )],[refute_0_660,refute_0_662]) ).
cnf(refute_0_664,plain,
addition(multiplication(X_105,X_107),X_107) = addition(X_107,multiplication(X_105,X_107)),
inference(subst,[],[refute_0_56:[bind(A,$fot(X_107)),bind(B,$fot(multiplication(X_105,X_107)))]]) ).
cnf(refute_0_665,plain,
( addition(multiplication(X_105,X_107),X_107) != addition(X_107,multiplication(X_105,X_107))
| multiplication(addition(X_105,one),X_107) != addition(multiplication(X_105,X_107),X_107)
| multiplication(addition(X_105,one),X_107) = addition(X_107,multiplication(X_105,X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_105,one),X_107),addition(multiplication(X_105,X_107),X_107)) ),[1],$fot(addition(X_107,multiplication(X_105,X_107)))]]) ).
cnf(refute_0_666,plain,
( multiplication(addition(X_105,one),X_107) != addition(multiplication(X_105,X_107),X_107)
| multiplication(addition(X_105,one),X_107) = addition(X_107,multiplication(X_105,X_107)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_105,X_107),X_107),addition(X_107,multiplication(X_105,X_107))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
multiplication(addition(X_105,one),X_107) = addition(X_107,multiplication(X_105,X_107)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_105,one),X_107),addition(multiplication(X_105,X_107),X_107)) )],[refute_0_663,refute_0_666]) ).
cnf(refute_0_668,plain,
multiplication(addition(X_289,one),X_290) = addition(X_290,multiplication(X_289,X_290)),
inference(subst,[],[refute_0_667:[bind(X_105,$fot(X_289)),bind(X_107,$fot(X_290))]]) ).
cnf(refute_0_669,plain,
addition(one,X_289) = addition(X_289,one),
inference(subst,[],[refute_0_6:[bind(A,$fot(one)),bind(B,$fot(X_289))]]) ).
cnf(refute_0_670,plain,
( addition(one,X_289) != addition(X_289,one)
| addition(X_289,one) = addition(one,X_289) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(one,X_289))),bind(Y,$fot(addition(X_289,one)))]]) ).
cnf(refute_0_671,plain,
addition(X_289,one) = addition(one,X_289),
inference(resolve,[$cnf( $equal(addition(one,X_289),addition(X_289,one)) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
( addition(X_289,one) != addition(one,X_289)
| multiplication(addition(X_289,one),X_290) != addition(X_290,multiplication(X_289,X_290))
| multiplication(addition(one,X_289),X_290) = addition(X_290,multiplication(X_289,X_290)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_289,one),X_290),addition(X_290,multiplication(X_289,X_290))) ),[0,0],$fot(addition(one,X_289))]]) ).
cnf(refute_0_673,plain,
( multiplication(addition(X_289,one),X_290) != addition(X_290,multiplication(X_289,X_290))
| multiplication(addition(one,X_289),X_290) = addition(X_290,multiplication(X_289,X_290)) ),
inference(resolve,[$cnf( $equal(addition(X_289,one),addition(one,X_289)) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
multiplication(addition(one,X_289),X_290) = addition(X_290,multiplication(X_289,X_290)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_289,one),X_290),addition(X_290,multiplication(X_289,X_290))) )],[refute_0_668,refute_0_673]) ).
cnf(refute_0_675,plain,
( multiplication(addition(one,X_289),X_290) != addition(X_290,multiplication(X_289,X_290))
| addition(X_290,multiplication(X_289,X_290)) = multiplication(addition(one,X_289),X_290) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(addition(one,X_289),X_290))),bind(Y,$fot(addition(X_290,multiplication(X_289,X_290))))]]) ).
cnf(refute_0_676,plain,
addition(X_290,multiplication(X_289,X_290)) = multiplication(addition(one,X_289),X_290),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_289),X_290),addition(X_290,multiplication(X_289,X_290))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
addition(domain(X_478),multiplication(B,domain(X_478))) = multiplication(addition(one,B),domain(X_478)),
inference(subst,[],[refute_0_676:[bind(X_289,$fot(B)),bind(X_290,$fot(domain(X_478)))]]) ).
cnf(refute_0_678,plain,
( addition(domain(X_478),multiplication(B,domain(X_478))) != multiplication(addition(one,B),domain(X_478))
| multiplication(addition(domain(X_478),B),domain(X_478)) != addition(domain(X_478),multiplication(B,domain(X_478)))
| multiplication(addition(domain(X_478),B),domain(X_478)) = multiplication(addition(one,B),domain(X_478)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_478),B),domain(X_478)),addition(domain(X_478),multiplication(B,domain(X_478)))) ),[1],$fot(multiplication(addition(one,B),domain(X_478)))]]) ).
cnf(refute_0_679,plain,
( multiplication(addition(domain(X_478),B),domain(X_478)) != addition(domain(X_478),multiplication(B,domain(X_478)))
| multiplication(addition(domain(X_478),B),domain(X_478)) = multiplication(addition(one,B),domain(X_478)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_478),multiplication(B,domain(X_478))),multiplication(addition(one,B),domain(X_478))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiplication(addition(domain(X_478),B),domain(X_478)) = multiplication(addition(one,B),domain(X_478)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_478),B),domain(X_478)),addition(domain(X_478),multiplication(B,domain(X_478)))) )],[refute_0_659,refute_0_679]) ).
cnf(refute_0_681,plain,
multiplication(addition(domain(X_480),domain(X1)),domain(X_480)) = multiplication(addition(one,domain(X1)),domain(X_480)),
inference(subst,[],[refute_0_680:[bind(B,$fot(domain(X1))),bind(X_478,$fot(X_480))]]) ).
cnf(refute_0_682,plain,
domain(addition(X_480,X1)) = addition(domain(X_480),domain(X1)),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_480))]]) ).
cnf(refute_0_683,plain,
( domain(addition(X_480,X1)) != addition(domain(X_480),domain(X1))
| addition(domain(X_480),domain(X1)) = domain(addition(X_480,X1)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(addition(X_480,X1)))),bind(Y,$fot(addition(domain(X_480),domain(X1))))]]) ).
cnf(refute_0_684,plain,
addition(domain(X_480),domain(X1)) = domain(addition(X_480,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_480,X1)),addition(domain(X_480),domain(X1))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
( addition(domain(X_480),domain(X1)) != domain(addition(X_480,X1))
| multiplication(addition(domain(X_480),domain(X1)),domain(X_480)) != multiplication(addition(one,domain(X1)),domain(X_480))
| multiplication(domain(addition(X_480,X1)),domain(X_480)) = multiplication(addition(one,domain(X1)),domain(X_480)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_480),domain(X1)),domain(X_480)),multiplication(addition(one,domain(X1)),domain(X_480))) ),[0,0],$fot(domain(addition(X_480,X1)))]]) ).
cnf(refute_0_686,plain,
( multiplication(addition(domain(X_480),domain(X1)),domain(X_480)) != multiplication(addition(one,domain(X1)),domain(X_480))
| multiplication(domain(addition(X_480,X1)),domain(X_480)) = multiplication(addition(one,domain(X1)),domain(X_480)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_480),domain(X1)),domain(addition(X_480,X1))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
multiplication(domain(addition(X_480,X1)),domain(X_480)) = multiplication(addition(one,domain(X1)),domain(X_480)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),domain(X1)),domain(X_480)),multiplication(addition(one,domain(X1)),domain(X_480))) )],[refute_0_681,refute_0_686]) ).
cnf(refute_0_688,plain,
multiplication(one,domain(X_480)) = domain(X_480),
inference(subst,[],[refute_0_52:[bind(A,$fot(domain(X_480)))]]) ).
cnf(refute_0_689,plain,
multiplication(addition(one,domain(X1)),domain(X_480)) = multiplication(addition(one,domain(X1)),domain(X_480)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X1)),domain(X_480)))]]) ).
cnf(refute_0_690,plain,
( addition(one,domain(X1)) != one
| multiplication(addition(one,domain(X1)),domain(X_480)) != multiplication(addition(one,domain(X1)),domain(X_480))
| multiplication(addition(one,domain(X1)),domain(X_480)) = multiplication(one,domain(X_480)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X1)),domain(X_480)),multiplication(addition(one,domain(X1)),domain(X_480))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_691,plain,
( addition(one,domain(X1)) != one
| multiplication(addition(one,domain(X1)),domain(X_480)) = multiplication(one,domain(X_480)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X1)),domain(X_480)),multiplication(addition(one,domain(X1)),domain(X_480))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
multiplication(addition(one,domain(X1)),domain(X_480)) = multiplication(one,domain(X_480)),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_195,refute_0_691]) ).
cnf(refute_0_693,plain,
( multiplication(addition(one,domain(X1)),domain(X_480)) != multiplication(one,domain(X_480))
| multiplication(one,domain(X_480)) != domain(X_480)
| multiplication(addition(one,domain(X1)),domain(X_480)) = domain(X_480) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(addition(one,domain(X1)),domain(X_480)))),bind(Y,$fot(multiplication(one,domain(X_480)))),bind(Z,$fot(domain(X_480)))]]) ).
cnf(refute_0_694,plain,
( multiplication(one,domain(X_480)) != domain(X_480)
| multiplication(addition(one,domain(X1)),domain(X_480)) = domain(X_480) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X1)),domain(X_480)),multiplication(one,domain(X_480))) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
multiplication(addition(one,domain(X1)),domain(X_480)) = domain(X_480),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_480)),domain(X_480)) )],[refute_0_688,refute_0_694]) ).
cnf(refute_0_696,plain,
( multiplication(addition(one,domain(X1)),domain(X_480)) != domain(X_480)
| multiplication(domain(addition(X_480,X1)),domain(X_480)) != multiplication(addition(one,domain(X1)),domain(X_480))
| multiplication(domain(addition(X_480,X1)),domain(X_480)) = domain(X_480) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_480,X1)),domain(X_480)),multiplication(addition(one,domain(X1)),domain(X_480))) ),[1],$fot(domain(X_480))]]) ).
cnf(refute_0_697,plain,
( multiplication(domain(addition(X_480,X1)),domain(X_480)) != multiplication(addition(one,domain(X1)),domain(X_480))
| multiplication(domain(addition(X_480,X1)),domain(X_480)) = domain(X_480) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X1)),domain(X_480)),domain(X_480)) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
multiplication(domain(addition(X_480,X1)),domain(X_480)) = domain(X_480),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_480,X1)),domain(X_480)),multiplication(addition(one,domain(X1)),domain(X_480))) )],[refute_0_687,refute_0_697]) ).
cnf(refute_0_699,plain,
multiplication(domain(addition(X_950,X_949)),domain(X_950)) = domain(X_950),
inference(subst,[],[refute_0_698:[bind(X1,$fot(X_949)),bind(X_480,$fot(X_950))]]) ).
cnf(refute_0_700,plain,
( multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)) != addition(multiplication(domain(addition(X_950,X_949)),domain(X_950)),multiplication(domain(addition(X_950,X_949)),C))
| multiplication(domain(addition(X_950,X_949)),domain(X_950)) != domain(X_950)
| multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)) = addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)),addition(multiplication(domain(addition(X_950,X_949)),domain(X_950)),multiplication(domain(addition(X_950,X_949)),C))) ),[1,0],$fot(domain(X_950))]]) ).
cnf(refute_0_701,plain,
( multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)) != addition(multiplication(domain(addition(X_950,X_949)),domain(X_950)),multiplication(domain(addition(X_950,X_949)),C))
| multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)) = addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),C)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),domain(X_950)),domain(X_950)) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)) = addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),C)),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),addition(domain(X_950),C)),addition(multiplication(domain(addition(X_950,X_949)),domain(X_950)),multiplication(domain(addition(X_950,X_949)),C))) )],[refute_0_618,refute_0_701]) ).
cnf(refute_0_703,plain,
multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)) = addition(domain(X_280),multiplication(domain(addition(X_280,X_279)),X_279)),
inference(subst,[],[refute_0_702:[bind(C,$fot(X_279)),bind(X_949,$fot(X_279)),bind(X_950,$fot(X_280))]]) ).
cnf(refute_0_704,plain,
( multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)) != addition(domain(X_280),X_279)
| multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)) != addition(domain(X_280),multiplication(domain(addition(X_280,X_279)),X_279))
| addition(domain(X_280),multiplication(domain(addition(X_280,X_279)),X_279)) = addition(domain(X_280),X_279) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)),addition(domain(X_280),X_279)) ),[0],$fot(addition(domain(X_280),multiplication(domain(addition(X_280,X_279)),X_279)))]]) ).
cnf(refute_0_705,plain,
( multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)) != addition(domain(X_280),X_279)
| addition(domain(X_280),multiplication(domain(addition(X_280,X_279)),X_279)) = addition(domain(X_280),X_279) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)),addition(domain(X_280),multiplication(domain(addition(X_280,X_279)),X_279))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
addition(domain(X_280),multiplication(domain(addition(X_280,X_279)),X_279)) = addition(domain(X_280),X_279),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_280,X_279)),addition(domain(X_280),X_279)),addition(domain(X_280),X_279)) )],[refute_0_617,refute_0_705]) ).
cnf(refute_0_707,plain,
addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932)) = addition(domain(X_31),X_932),
inference(subst,[],[refute_0_706:[bind(X_279,$fot(X_932)),bind(X_280,$fot(X_31))]]) ).
cnf(refute_0_708,plain,
multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) = addition(multiplication(domain(addition(X_950,X_949)),B),multiplication(domain(addition(X_950,X_949)),domain(X_950))),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(addition(X_950,X_949)))),bind(C,$fot(domain(X_950)))]]) ).
cnf(refute_0_709,plain,
( multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) != addition(multiplication(domain(addition(X_950,X_949)),B),multiplication(domain(addition(X_950,X_949)),domain(X_950)))
| multiplication(domain(addition(X_950,X_949)),domain(X_950)) != domain(X_950)
| multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) = addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))),addition(multiplication(domain(addition(X_950,X_949)),B),multiplication(domain(addition(X_950,X_949)),domain(X_950)))) ),[1,1],$fot(domain(X_950))]]) ).
cnf(refute_0_710,plain,
( multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) != addition(multiplication(domain(addition(X_950,X_949)),B),multiplication(domain(addition(X_950,X_949)),domain(X_950)))
| multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) = addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),domain(X_950)),domain(X_950)) )],[refute_0_699,refute_0_709]) ).
cnf(refute_0_711,plain,
multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) = addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950)),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))),addition(multiplication(domain(addition(X_950,X_949)),B),multiplication(domain(addition(X_950,X_949)),domain(X_950)))) )],[refute_0_708,refute_0_710]) ).
cnf(refute_0_712,plain,
multiplication(X_95,addition(one,X_96)) = addition(X_95,multiplication(X_95,X_96)),
inference(subst,[],[refute_0_644:[bind(X_92,$fot(X_95)),bind(X_94,$fot(X_96))]]) ).
cnf(refute_0_713,plain,
addition(X_96,one) = addition(one,X_96),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_96)),bind(B,$fot(one))]]) ).
cnf(refute_0_714,plain,
( addition(X_96,one) != addition(one,X_96)
| addition(one,X_96) = addition(X_96,one) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_96,one))),bind(Y,$fot(addition(one,X_96)))]]) ).
cnf(refute_0_715,plain,
addition(one,X_96) = addition(X_96,one),
inference(resolve,[$cnf( $equal(addition(X_96,one),addition(one,X_96)) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
( addition(one,X_96) != addition(X_96,one)
| multiplication(X_95,addition(one,X_96)) != addition(X_95,multiplication(X_95,X_96))
| multiplication(X_95,addition(X_96,one)) = addition(X_95,multiplication(X_95,X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_95,addition(one,X_96)),addition(X_95,multiplication(X_95,X_96))) ),[0,1],$fot(addition(X_96,one))]]) ).
cnf(refute_0_717,plain,
( multiplication(X_95,addition(one,X_96)) != addition(X_95,multiplication(X_95,X_96))
| multiplication(X_95,addition(X_96,one)) = addition(X_95,multiplication(X_95,X_96)) ),
inference(resolve,[$cnf( $equal(addition(one,X_96),addition(X_96,one)) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
multiplication(X_95,addition(X_96,one)) = addition(X_95,multiplication(X_95,X_96)),
inference(resolve,[$cnf( $equal(multiplication(X_95,addition(one,X_96)),addition(X_95,multiplication(X_95,X_96))) )],[refute_0_712,refute_0_717]) ).
cnf(refute_0_719,plain,
multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = addition(addition(domain(X_480),X_479),multiplication(addition(domain(X_480),X_479),domain(X_480))),
inference(subst,[],[refute_0_718:[bind(X_95,$fot(addition(domain(X_480),X_479))),bind(X_96,$fot(domain(X_480)))]]) ).
cnf(refute_0_720,plain,
multiplication(addition(domain(X_480),X_479),domain(X_480)) = multiplication(addition(one,X_479),domain(X_480)),
inference(subst,[],[refute_0_680:[bind(B,$fot(X_479)),bind(X_478,$fot(X_480))]]) ).
cnf(refute_0_721,plain,
( multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) != addition(addition(domain(X_480),X_479),multiplication(addition(domain(X_480),X_479),domain(X_480)))
| multiplication(addition(domain(X_480),X_479),domain(X_480)) != multiplication(addition(one,X_479),domain(X_480))
| multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)),addition(addition(domain(X_480),X_479),multiplication(addition(domain(X_480),X_479),domain(X_480)))) ),[1,1],$fot(multiplication(addition(one,X_479),domain(X_480)))]]) ).
cnf(refute_0_722,plain,
( multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) != addition(addition(domain(X_480),X_479),multiplication(addition(domain(X_480),X_479),domain(X_480)))
| multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),domain(X_480)),multiplication(addition(one,X_479),domain(X_480))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)),addition(addition(domain(X_480),X_479),multiplication(addition(domain(X_480),X_479),domain(X_480)))) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
multiplication(addition(domain(X_480),X_479),one) = addition(domain(X_480),X_479),
inference(subst,[],[refute_0_178:[bind(A,$fot(addition(domain(X_480),X_479)))]]) ).
cnf(refute_0_725,plain,
addition(one,domain(X_480)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(X_480))]]) ).
cnf(refute_0_726,plain,
multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) = multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))),
introduced(tautology,[refl,[$fot(multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))))]]) ).
cnf(refute_0_727,plain,
( addition(one,domain(X_480)) != one
| multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) != multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480)))
| multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) = multiplication(addition(domain(X_480),X_479),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))),multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_728,plain,
( addition(one,domain(X_480)) != one
| multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) = multiplication(addition(domain(X_480),X_479),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))),multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480)))) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) = multiplication(addition(domain(X_480),X_479),one),
inference(resolve,[$cnf( $equal(addition(one,domain(X_480)),one) )],[refute_0_725,refute_0_728]) ).
cnf(refute_0_730,plain,
( multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) != multiplication(addition(domain(X_480),X_479),one)
| multiplication(addition(domain(X_480),X_479),one) != addition(domain(X_480),X_479)
| multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) = addition(domain(X_480),X_479) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))))),bind(Y,$fot(multiplication(addition(domain(X_480),X_479),one))),bind(Z,$fot(addition(domain(X_480),X_479)))]]) ).
cnf(refute_0_731,plain,
( multiplication(addition(domain(X_480),X_479),one) != addition(domain(X_480),X_479)
| multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) = addition(domain(X_480),X_479) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))),multiplication(addition(domain(X_480),X_479),one)) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) = addition(domain(X_480),X_479),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),one),addition(domain(X_480),X_479)) )],[refute_0_724,refute_0_731]) ).
cnf(refute_0_733,plain,
multiplication(X_92,addition(one,addition(X_449,one))) = addition(X_92,multiplication(X_92,addition(X_449,one))),
inference(subst,[],[refute_0_644:[bind(X_94,$fot(addition(X_449,one)))]]) ).
cnf(refute_0_734,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_735,plain,
( addition(one,addition(X_69,addition(one,X_38))) != addition(X_69,addition(one,X_38))
| leq(one,addition(X_69,addition(one,X_38))) ),
inference(subst,[],[refute_0_734:[bind(A,$fot(one)),bind(B,$fot(addition(X_69,addition(one,X_38))))]]) ).
cnf(refute_0_736,plain,
( addition(X_69,addition(one,X_38)) != addition(X_69,addition(one,X_38))
| addition(one,addition(X_69,addition(one,X_38))) != addition(X_69,addition(one,X_38))
| addition(one,addition(X_69,addition(one,X_38))) = addition(X_69,addition(one,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_69,addition(one,X_38))),addition(X_69,addition(one,X_38))) ),[0,1],$fot(addition(X_69,addition(one,X_38)))]]) ).
cnf(refute_0_737,plain,
( addition(X_69,addition(one,X_38)) != addition(X_69,addition(one,X_38))
| addition(one,addition(X_69,addition(one,X_38))) = addition(X_69,addition(one,X_38)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_69,addition(one,X_38))),addition(X_69,addition(one,X_38))) )],[refute_0_432,refute_0_736]) ).
cnf(refute_0_738,plain,
( addition(X_69,addition(one,X_38)) != addition(X_69,addition(one,X_38))
| leq(one,addition(X_69,addition(one,X_38))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_69,addition(one,X_38))),addition(X_69,addition(one,X_38))) )],[refute_0_737,refute_0_735]) ).
cnf(refute_0_739,plain,
addition(X_69,addition(one,X_38)) = addition(X_69,addition(one,X_38)),
introduced(tautology,[refl,[$fot(addition(X_69,addition(one,X_38)))]]) ).
cnf(refute_0_740,plain,
leq(one,addition(X_69,addition(one,X_38))),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,X_38)),addition(X_69,addition(one,X_38))) )],[refute_0_739,refute_0_738]) ).
cnf(refute_0_741,plain,
leq(one,addition(X_138,addition(one,addition(one,addition(X_69,one))))),
inference(subst,[],[refute_0_740:[bind(X_38,$fot(addition(one,addition(X_69,one)))),bind(X_69,$fot(X_138))]]) ).
cnf(refute_0_742,plain,
addition(X_69,addition(one,one)) = addition(one,addition(one,addition(X_69,one))),
inference(subst,[],[refute_0_352:[bind(X_70,$fot(one))]]) ).
cnf(refute_0_743,plain,
( addition(X_69,addition(one,one)) != addition(one,addition(one,addition(X_69,one)))
| addition(one,addition(one,addition(X_69,one))) = addition(X_69,addition(one,one)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(one,one)))),bind(Y,$fot(addition(one,addition(one,addition(X_69,one)))))]]) ).
cnf(refute_0_744,plain,
addition(one,addition(one,addition(X_69,one))) = addition(X_69,addition(one,one)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,one)),addition(one,addition(one,addition(X_69,one)))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
( addition(one,addition(one,addition(X_69,one))) != addition(X_69,addition(one,one))
| ~ leq(one,addition(X_138,addition(one,addition(one,addition(X_69,one)))))
| leq(one,addition(X_138,addition(X_69,addition(one,one)))) ),
introduced(tautology,[equality,[$cnf( leq(one,addition(X_138,addition(one,addition(one,addition(X_69,one))))) ),[1,1],$fot(addition(X_69,addition(one,one)))]]) ).
cnf(refute_0_746,plain,
( ~ leq(one,addition(X_138,addition(one,addition(one,addition(X_69,one)))))
| leq(one,addition(X_138,addition(X_69,addition(one,one)))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(one,addition(X_69,one))),addition(X_69,addition(one,one))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
leq(one,addition(X_138,addition(X_69,addition(one,one)))),
inference(resolve,[$cnf( leq(one,addition(X_138,addition(one,addition(one,addition(X_69,one))))) )],[refute_0_741,refute_0_746]) ).
cnf(refute_0_748,plain,
addition(X_69,addition(one,one)) = addition(X_69,addition(one,one)),
introduced(tautology,[refl,[$fot(addition(X_69,addition(one,one)))]]) ).
cnf(refute_0_749,plain,
( addition(X_69,addition(one,one)) != addition(X_69,addition(one,one))
| addition(one,one) != one
| addition(X_69,addition(one,one)) = addition(X_69,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(one,one)),addition(X_69,addition(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_750,plain,
( addition(one,one) != one
| addition(X_69,addition(one,one)) = addition(X_69,one) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,one)),addition(X_69,addition(one,one))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
addition(X_69,addition(one,one)) = addition(X_69,one),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_240,refute_0_750]) ).
cnf(refute_0_752,plain,
addition(X_138,addition(X_69,addition(one,one))) = addition(X_138,addition(X_69,addition(one,one))),
introduced(tautology,[refl,[$fot(addition(X_138,addition(X_69,addition(one,one))))]]) ).
cnf(refute_0_753,plain,
( addition(X_138,addition(X_69,addition(one,one))) != addition(X_138,addition(X_69,addition(one,one)))
| addition(X_69,addition(one,one)) != addition(X_69,one)
| addition(X_138,addition(X_69,addition(one,one))) = addition(X_138,addition(X_69,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_138,addition(X_69,addition(one,one))),addition(X_138,addition(X_69,addition(one,one)))) ),[1,1],$fot(addition(X_69,one))]]) ).
cnf(refute_0_754,plain,
( addition(X_69,addition(one,one)) != addition(X_69,one)
| addition(X_138,addition(X_69,addition(one,one))) = addition(X_138,addition(X_69,one)) ),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_69,addition(one,one))),addition(X_138,addition(X_69,addition(one,one)))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
addition(X_138,addition(X_69,addition(one,one))) = addition(X_138,addition(X_69,one)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,one)),addition(X_69,one)) )],[refute_0_751,refute_0_754]) ).
cnf(refute_0_756,plain,
( addition(X_138,addition(X_69,addition(one,one))) != addition(X_138,addition(X_69,one))
| ~ leq(one,addition(X_138,addition(X_69,addition(one,one))))
| leq(one,addition(X_138,addition(X_69,one))) ),
introduced(tautology,[equality,[$cnf( leq(one,addition(X_138,addition(X_69,addition(one,one)))) ),[1],$fot(addition(X_138,addition(X_69,one)))]]) ).
cnf(refute_0_757,plain,
( ~ leq(one,addition(X_138,addition(X_69,addition(one,one))))
| leq(one,addition(X_138,addition(X_69,one))) ),
inference(resolve,[$cnf( $equal(addition(X_138,addition(X_69,addition(one,one))),addition(X_138,addition(X_69,one))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
leq(one,addition(X_138,addition(X_69,one))),
inference(resolve,[$cnf( leq(one,addition(X_138,addition(X_69,addition(one,one)))) )],[refute_0_747,refute_0_757]) ).
cnf(refute_0_759,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_760,plain,
( ~ leq(one,addition(X_138,addition(X_69,one)))
| addition(one,addition(X_138,addition(X_69,one))) = addition(X_138,addition(X_69,one)) ),
inference(subst,[],[refute_0_759:[bind(A,$fot(one)),bind(B,$fot(addition(X_138,addition(X_69,one))))]]) ).
cnf(refute_0_761,plain,
addition(one,addition(X_138,addition(X_69,one))) = addition(X_138,addition(X_69,one)),
inference(resolve,[$cnf( leq(one,addition(X_138,addition(X_69,one))) )],[refute_0_758,refute_0_760]) ).
cnf(refute_0_762,plain,
addition(one,addition(addition(X_69,X_70),one)) = addition(one,addition(X_69,X_70)),
inference(subst,[],[refute_0_327:[bind(X_38,$fot(addition(X_69,X_70)))]]) ).
cnf(refute_0_763,plain,
addition(X_69,addition(X_70,one)) = addition(addition(X_69,X_70),one),
inference(subst,[],[refute_0_101:[bind(A,$fot(X_69)),bind(B,$fot(X_70)),bind(C,$fot(one))]]) ).
cnf(refute_0_764,plain,
( addition(X_69,addition(X_70,one)) != addition(addition(X_69,X_70),one)
| addition(addition(X_69,X_70),one) = addition(X_69,addition(X_70,one)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(X_70,one)))),bind(Y,$fot(addition(addition(X_69,X_70),one)))]]) ).
cnf(refute_0_765,plain,
addition(addition(X_69,X_70),one) = addition(X_69,addition(X_70,one)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,one)),addition(addition(X_69,X_70),one)) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
( addition(addition(X_69,X_70),one) != addition(X_69,addition(X_70,one))
| addition(one,addition(addition(X_69,X_70),one)) != addition(one,addition(X_69,X_70))
| addition(one,addition(X_69,addition(X_70,one))) = addition(one,addition(X_69,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(addition(X_69,X_70),one)),addition(one,addition(X_69,X_70))) ),[0,1],$fot(addition(X_69,addition(X_70,one)))]]) ).
cnf(refute_0_767,plain,
( addition(one,addition(addition(X_69,X_70),one)) != addition(one,addition(X_69,X_70))
| addition(one,addition(X_69,addition(X_70,one))) = addition(one,addition(X_69,X_70)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_69,X_70),one),addition(X_69,addition(X_70,one))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
addition(one,addition(X_69,addition(X_70,one))) = addition(one,addition(X_69,X_70)),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_69,X_70),one)),addition(one,addition(X_69,X_70))) )],[refute_0_762,refute_0_767]) ).
cnf(refute_0_769,plain,
addition(one,addition(X_138,addition(X_69,one))) = addition(one,addition(X_138,X_69)),
inference(subst,[],[refute_0_768:[bind(X_69,$fot(X_138)),bind(X_70,$fot(X_69))]]) ).
cnf(refute_0_770,plain,
( addition(one,addition(X_138,addition(X_69,one))) != addition(X_138,addition(X_69,one))
| addition(one,addition(X_138,addition(X_69,one))) != addition(one,addition(X_138,X_69))
| addition(one,addition(X_138,X_69)) = addition(X_138,addition(X_69,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_138,addition(X_69,one))),addition(X_138,addition(X_69,one))) ),[0],$fot(addition(one,addition(X_138,X_69)))]]) ).
cnf(refute_0_771,plain,
( addition(one,addition(X_138,addition(X_69,one))) != addition(X_138,addition(X_69,one))
| addition(one,addition(X_138,X_69)) = addition(X_138,addition(X_69,one)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_138,addition(X_69,one))),addition(one,addition(X_138,X_69))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
addition(one,addition(X_138,X_69)) = addition(X_138,addition(X_69,one)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_138,addition(X_69,one))),addition(X_138,addition(X_69,one))) )],[refute_0_761,refute_0_771]) ).
cnf(refute_0_773,plain,
addition(X_69,addition(addition(one,X_69),X_71)) = addition(addition(X_69,addition(one,X_69)),X_71),
inference(subst,[],[refute_0_101:[bind(A,$fot(X_69)),bind(B,$fot(addition(one,X_69))),bind(C,$fot(X_71))]]) ).
cnf(refute_0_774,plain,
addition(X_69,addition(one,X_69)) = addition(one,X_69),
inference(subst,[],[refute_0_267:[bind(B,$fot(X_69))]]) ).
cnf(refute_0_775,plain,
( addition(X_69,addition(addition(one,X_69),X_71)) != addition(addition(X_69,addition(one,X_69)),X_71)
| addition(X_69,addition(one,X_69)) != addition(one,X_69)
| addition(X_69,addition(addition(one,X_69),X_71)) = addition(addition(one,X_69),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(addition(one,X_69),X_71)),addition(addition(X_69,addition(one,X_69)),X_71)) ),[1,0],$fot(addition(one,X_69))]]) ).
cnf(refute_0_776,plain,
( addition(X_69,addition(addition(one,X_69),X_71)) != addition(addition(X_69,addition(one,X_69)),X_71)
| addition(X_69,addition(addition(one,X_69),X_71)) = addition(addition(one,X_69),X_71) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,X_69)),addition(one,X_69)) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
addition(X_69,addition(addition(one,X_69),X_71)) = addition(addition(one,X_69),X_71),
inference(resolve,[$cnf( $equal(addition(X_69,addition(addition(one,X_69),X_71)),addition(addition(X_69,addition(one,X_69)),X_71)) )],[refute_0_773,refute_0_776]) ).
cnf(refute_0_778,plain,
addition(addition(one,X_69),X_71) = addition(one,addition(X_69,X_71)),
inference(subst,[],[refute_0_126:[bind(A,$fot(one)),bind(B,$fot(X_69)),bind(C,$fot(X_71))]]) ).
cnf(refute_0_779,plain,
addition(X_69,addition(addition(one,X_69),X_71)) = addition(X_69,addition(addition(one,X_69),X_71)),
introduced(tautology,[refl,[$fot(addition(X_69,addition(addition(one,X_69),X_71)))]]) ).
cnf(refute_0_780,plain,
( addition(X_69,addition(addition(one,X_69),X_71)) != addition(X_69,addition(addition(one,X_69),X_71))
| addition(addition(one,X_69),X_71) != addition(one,addition(X_69,X_71))
| addition(X_69,addition(addition(one,X_69),X_71)) = addition(X_69,addition(one,addition(X_69,X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(addition(one,X_69),X_71)),addition(X_69,addition(addition(one,X_69),X_71))) ),[1,1],$fot(addition(one,addition(X_69,X_71)))]]) ).
cnf(refute_0_781,plain,
( addition(addition(one,X_69),X_71) != addition(one,addition(X_69,X_71))
| addition(X_69,addition(addition(one,X_69),X_71)) = addition(X_69,addition(one,addition(X_69,X_71))) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(addition(one,X_69),X_71)),addition(X_69,addition(addition(one,X_69),X_71))) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
addition(X_69,addition(addition(one,X_69),X_71)) = addition(X_69,addition(one,addition(X_69,X_71))),
inference(resolve,[$cnf( $equal(addition(addition(one,X_69),X_71),addition(one,addition(X_69,X_71))) )],[refute_0_778,refute_0_781]) ).
cnf(refute_0_783,plain,
( addition(X_69,addition(addition(one,X_69),X_71)) != addition(X_69,addition(one,addition(X_69,X_71)))
| addition(X_69,addition(addition(one,X_69),X_71)) != addition(addition(one,X_69),X_71)
| addition(X_69,addition(one,addition(X_69,X_71))) = addition(addition(one,X_69),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_69,addition(addition(one,X_69),X_71)),addition(addition(one,X_69),X_71)) ),[0],$fot(addition(X_69,addition(one,addition(X_69,X_71))))]]) ).
cnf(refute_0_784,plain,
( addition(X_69,addition(addition(one,X_69),X_71)) != addition(addition(one,X_69),X_71)
| addition(X_69,addition(one,addition(X_69,X_71))) = addition(addition(one,X_69),X_71) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(addition(one,X_69),X_71)),addition(X_69,addition(one,addition(X_69,X_71)))) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
( addition(X_69,addition(one,addition(X_69,X_71))) != addition(addition(one,X_69),X_71)
| addition(addition(one,X_69),X_71) != addition(one,addition(X_69,X_71))
| addition(X_69,addition(one,addition(X_69,X_71))) = addition(one,addition(X_69,X_71)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_69,addition(one,addition(X_69,X_71))),addition(one,addition(X_69,X_71))) ),[0],$fot(addition(addition(one,X_69),X_71))]]) ).
cnf(refute_0_786,plain,
( addition(X_69,addition(one,addition(X_69,X_71))) != addition(addition(one,X_69),X_71)
| addition(X_69,addition(one,addition(X_69,X_71))) = addition(one,addition(X_69,X_71)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_69),X_71),addition(one,addition(X_69,X_71))) )],[refute_0_778,refute_0_785]) ).
cnf(refute_0_787,plain,
( addition(X_69,addition(addition(one,X_69),X_71)) != addition(addition(one,X_69),X_71)
| addition(X_69,addition(one,addition(X_69,X_71))) = addition(one,addition(X_69,X_71)) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,addition(X_69,X_71))),addition(addition(one,X_69),X_71)) )],[refute_0_784,refute_0_786]) ).
cnf(refute_0_788,plain,
addition(X_69,addition(one,addition(X_69,X_71))) = addition(one,addition(X_69,X_71)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(addition(one,X_69),X_71)),addition(addition(one,X_69),X_71)) )],[refute_0_777,refute_0_787]) ).
cnf(refute_0_789,plain,
addition(X_81,addition(one,addition(X_81,X_82))) = addition(one,addition(X_81,X_82)),
inference(subst,[],[refute_0_788:[bind(X_69,$fot(X_81)),bind(X_71,$fot(X_82))]]) ).
cnf(refute_0_790,plain,
addition(X_82,X_81) = addition(X_81,X_82),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_82)),bind(B,$fot(X_81))]]) ).
cnf(refute_0_791,plain,
( addition(X_82,X_81) != addition(X_81,X_82)
| addition(X_81,X_82) = addition(X_82,X_81) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_82,X_81))),bind(Y,$fot(addition(X_81,X_82)))]]) ).
cnf(refute_0_792,plain,
addition(X_81,X_82) = addition(X_82,X_81),
inference(resolve,[$cnf( $equal(addition(X_82,X_81),addition(X_81,X_82)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( addition(X_81,X_82) != addition(X_82,X_81)
| addition(X_81,addition(one,addition(X_81,X_82))) != addition(one,addition(X_81,X_82))
| addition(X_81,addition(one,addition(X_81,X_82))) = addition(one,addition(X_82,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_81,addition(one,addition(X_81,X_82))),addition(one,addition(X_81,X_82))) ),[1,1],$fot(addition(X_82,X_81))]]) ).
cnf(refute_0_794,plain,
( addition(X_81,addition(one,addition(X_81,X_82))) != addition(one,addition(X_81,X_82))
| addition(X_81,addition(one,addition(X_81,X_82))) = addition(one,addition(X_82,X_81)) ),
inference(resolve,[$cnf( $equal(addition(X_81,X_82),addition(X_82,X_81)) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
addition(X_81,addition(one,addition(X_81,X_82))) = addition(one,addition(X_82,X_81)),
inference(resolve,[$cnf( $equal(addition(X_81,addition(one,addition(X_81,X_82))),addition(one,addition(X_81,X_82))) )],[refute_0_789,refute_0_794]) ).
cnf(refute_0_796,plain,
( addition(X_81,addition(one,addition(X_81,X_82))) != addition(one,addition(X_81,X_82))
| addition(X_81,addition(one,addition(X_81,X_82))) != addition(one,addition(X_82,X_81))
| addition(one,addition(X_81,X_82)) = addition(one,addition(X_82,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_81,addition(one,addition(X_81,X_82))),addition(one,addition(X_82,X_81))) ),[0],$fot(addition(one,addition(X_81,X_82)))]]) ).
cnf(refute_0_797,plain,
( addition(X_81,addition(one,addition(X_81,X_82))) != addition(one,addition(X_82,X_81))
| addition(one,addition(X_81,X_82)) = addition(one,addition(X_82,X_81)) ),
inference(resolve,[$cnf( $equal(addition(X_81,addition(one,addition(X_81,X_82))),addition(one,addition(X_81,X_82))) )],[refute_0_789,refute_0_796]) ).
cnf(refute_0_798,plain,
addition(one,addition(X_81,X_82)) = addition(one,addition(X_82,X_81)),
inference(resolve,[$cnf( $equal(addition(X_81,addition(one,addition(X_81,X_82))),addition(one,addition(X_82,X_81))) )],[refute_0_795,refute_0_797]) ).
cnf(refute_0_799,plain,
addition(one,addition(X_82,X_81)) = addition(X_82,addition(X_81,one)),
inference(subst,[],[refute_0_772:[bind(X_138,$fot(X_82)),bind(X_69,$fot(X_81))]]) ).
cnf(refute_0_800,plain,
( addition(one,addition(X_81,X_82)) != addition(one,addition(X_82,X_81))
| addition(one,addition(X_82,X_81)) != addition(X_82,addition(X_81,one))
| addition(one,addition(X_81,X_82)) = addition(X_82,addition(X_81,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(X_81,X_82)),addition(X_82,addition(X_81,one))) ),[0],$fot(addition(one,addition(X_82,X_81)))]]) ).
cnf(refute_0_801,plain,
( addition(one,addition(X_81,X_82)) != addition(one,addition(X_82,X_81))
| addition(one,addition(X_81,X_82)) = addition(X_82,addition(X_81,one)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_82,X_81)),addition(X_82,addition(X_81,one))) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
addition(one,addition(X_81,X_82)) = addition(X_82,addition(X_81,one)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_81,X_82)),addition(one,addition(X_82,X_81))) )],[refute_0_798,refute_0_801]) ).
cnf(refute_0_803,plain,
addition(one,addition(X_138,X_69)) = addition(X_69,addition(X_138,one)),
inference(subst,[],[refute_0_802:[bind(X_81,$fot(X_138)),bind(X_82,$fot(X_69))]]) ).
cnf(refute_0_804,plain,
( addition(one,addition(X_138,X_69)) != addition(X_138,addition(X_69,one))
| addition(one,addition(X_138,X_69)) != addition(X_69,addition(X_138,one))
| addition(X_69,addition(X_138,one)) = addition(X_138,addition(X_69,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_138,X_69)),addition(X_138,addition(X_69,one))) ),[0],$fot(addition(X_69,addition(X_138,one)))]]) ).
cnf(refute_0_805,plain,
( addition(one,addition(X_138,X_69)) != addition(X_138,addition(X_69,one))
| addition(X_69,addition(X_138,one)) = addition(X_138,addition(X_69,one)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_138,X_69)),addition(X_69,addition(X_138,one))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
addition(X_69,addition(X_138,one)) = addition(X_138,addition(X_69,one)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_138,X_69)),addition(X_138,addition(X_69,one))) )],[refute_0_772,refute_0_805]) ).
cnf(refute_0_807,plain,
addition(one,addition(X_449,one)) = addition(X_449,addition(one,one)),
inference(subst,[],[refute_0_806:[bind(X_138,$fot(X_449)),bind(X_69,$fot(one))]]) ).
cnf(refute_0_808,plain,
( addition(one,addition(X_449,one)) != addition(X_449,addition(one,one))
| multiplication(X_92,addition(one,addition(X_449,one))) != addition(X_92,multiplication(X_92,addition(X_449,one)))
| multiplication(X_92,addition(X_449,addition(one,one))) = addition(X_92,multiplication(X_92,addition(X_449,one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(one,addition(X_449,one))),addition(X_92,multiplication(X_92,addition(X_449,one)))) ),[0,1],$fot(addition(X_449,addition(one,one)))]]) ).
cnf(refute_0_809,plain,
( multiplication(X_92,addition(one,addition(X_449,one))) != addition(X_92,multiplication(X_92,addition(X_449,one)))
| multiplication(X_92,addition(X_449,addition(one,one))) = addition(X_92,multiplication(X_92,addition(X_449,one))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_449,one)),addition(X_449,addition(one,one))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
multiplication(X_92,addition(X_449,addition(one,one))) = addition(X_92,multiplication(X_92,addition(X_449,one))),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,addition(X_449,one))),addition(X_92,multiplication(X_92,addition(X_449,one)))) )],[refute_0_733,refute_0_809]) ).
cnf(refute_0_811,plain,
addition(X_449,addition(one,one)) = addition(X_449,addition(one,one)),
introduced(tautology,[refl,[$fot(addition(X_449,addition(one,one)))]]) ).
cnf(refute_0_812,plain,
( addition(X_449,addition(one,one)) != addition(X_449,addition(one,one))
| addition(one,one) != one
| addition(X_449,addition(one,one)) = addition(X_449,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_449,addition(one,one)),addition(X_449,addition(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_813,plain,
( addition(one,one) != one
| addition(X_449,addition(one,one)) = addition(X_449,one) ),
inference(resolve,[$cnf( $equal(addition(X_449,addition(one,one)),addition(X_449,addition(one,one))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
addition(X_449,addition(one,one)) = addition(X_449,one),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_240,refute_0_813]) ).
cnf(refute_0_815,plain,
multiplication(X_92,addition(X_449,addition(one,one))) = multiplication(X_92,addition(X_449,addition(one,one))),
introduced(tautology,[refl,[$fot(multiplication(X_92,addition(X_449,addition(one,one))))]]) ).
cnf(refute_0_816,plain,
( addition(X_449,addition(one,one)) != addition(X_449,one)
| multiplication(X_92,addition(X_449,addition(one,one))) != multiplication(X_92,addition(X_449,addition(one,one)))
| multiplication(X_92,addition(X_449,addition(one,one))) = multiplication(X_92,addition(X_449,one)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(X_449,addition(one,one))),multiplication(X_92,addition(X_449,addition(one,one)))) ),[1,1],$fot(addition(X_449,one))]]) ).
cnf(refute_0_817,plain,
( addition(X_449,addition(one,one)) != addition(X_449,one)
| multiplication(X_92,addition(X_449,addition(one,one))) = multiplication(X_92,addition(X_449,one)) ),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(X_449,addition(one,one))),multiplication(X_92,addition(X_449,addition(one,one)))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
multiplication(X_92,addition(X_449,addition(one,one))) = multiplication(X_92,addition(X_449,one)),
inference(resolve,[$cnf( $equal(addition(X_449,addition(one,one)),addition(X_449,one)) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
( multiplication(X_92,addition(X_449,addition(one,one))) != addition(X_92,multiplication(X_92,addition(X_449,one)))
| multiplication(X_92,addition(X_449,addition(one,one))) != multiplication(X_92,addition(X_449,one))
| multiplication(X_92,addition(X_449,one)) = addition(X_92,multiplication(X_92,addition(X_449,one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(X_449,addition(one,one))),addition(X_92,multiplication(X_92,addition(X_449,one)))) ),[0],$fot(multiplication(X_92,addition(X_449,one)))]]) ).
cnf(refute_0_820,plain,
( multiplication(X_92,addition(X_449,addition(one,one))) != addition(X_92,multiplication(X_92,addition(X_449,one)))
| multiplication(X_92,addition(X_449,one)) = addition(X_92,multiplication(X_92,addition(X_449,one))) ),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(X_449,addition(one,one))),multiplication(X_92,addition(X_449,one))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
multiplication(X_92,addition(one,addition(X_113,one))) = addition(X_92,multiplication(X_92,addition(X_113,one))),
inference(subst,[],[refute_0_644:[bind(X_94,$fot(addition(X_113,one)))]]) ).
cnf(refute_0_822,plain,
addition(X_76,one) = addition(one,X_76),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_76)),bind(B,$fot(one))]]) ).
cnf(refute_0_823,plain,
( addition(X_76,one) != addition(one,X_76)
| addition(one,X_76) = addition(X_76,one) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_76,one))),bind(Y,$fot(addition(one,X_76)))]]) ).
cnf(refute_0_824,plain,
addition(one,X_76) = addition(X_76,one),
inference(resolve,[$cnf( $equal(addition(X_76,one),addition(one,X_76)) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
( addition(X_77,addition(one,X_76)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(one,X_76) != addition(X_76,one)
| addition(X_77,addition(X_76,one)) = addition(one,addition(X_77,addition(one,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_77,addition(one,X_76)),addition(one,addition(X_77,addition(one,X_76)))) ),[0,1],$fot(addition(X_76,one))]]) ).
cnf(refute_0_826,plain,
( addition(X_77,addition(one,X_76)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(X_77,addition(X_76,one)) = addition(one,addition(X_77,addition(one,X_76))) ),
inference(resolve,[$cnf( $equal(addition(one,X_76),addition(X_76,one)) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
addition(X_77,addition(X_76,one)) = addition(one,addition(X_77,addition(one,X_76))),
inference(resolve,[$cnf( $equal(addition(X_77,addition(one,X_76)),addition(one,addition(X_77,addition(one,X_76)))) )],[refute_0_421,refute_0_826]) ).
cnf(refute_0_828,plain,
( addition(X_77,addition(X_76,one)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(one,addition(X_77,addition(one,X_76))) != addition(X_77,addition(one,X_76))
| addition(X_77,addition(X_76,one)) = addition(X_77,addition(one,X_76)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_77,addition(X_76,one)),addition(X_77,addition(one,X_76))) ),[0],$fot(addition(one,addition(X_77,addition(one,X_76))))]]) ).
cnf(refute_0_829,plain,
( addition(X_77,addition(X_76,one)) != addition(one,addition(X_77,addition(one,X_76)))
| addition(X_77,addition(X_76,one)) = addition(X_77,addition(one,X_76)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_77,addition(one,X_76))),addition(X_77,addition(one,X_76))) )],[refute_0_433,refute_0_828]) ).
cnf(refute_0_830,plain,
addition(X_77,addition(X_76,one)) = addition(X_77,addition(one,X_76)),
inference(resolve,[$cnf( $equal(addition(X_77,addition(X_76,one)),addition(one,addition(X_77,addition(one,X_76)))) )],[refute_0_827,refute_0_829]) ).
cnf(refute_0_831,plain,
addition(one,addition(X_113,one)) = addition(one,addition(one,X_113)),
inference(subst,[],[refute_0_830:[bind(X_76,$fot(X_113)),bind(X_77,$fot(one))]]) ).
cnf(refute_0_832,plain,
( addition(one,addition(X_113,one)) != addition(one,addition(one,X_113))
| multiplication(X_92,addition(one,addition(X_113,one))) != addition(X_92,multiplication(X_92,addition(X_113,one)))
| multiplication(X_92,addition(one,addition(one,X_113))) = addition(X_92,multiplication(X_92,addition(X_113,one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(one,addition(X_113,one))),addition(X_92,multiplication(X_92,addition(X_113,one)))) ),[0,1],$fot(addition(one,addition(one,X_113)))]]) ).
cnf(refute_0_833,plain,
( multiplication(X_92,addition(one,addition(X_113,one))) != addition(X_92,multiplication(X_92,addition(X_113,one)))
| multiplication(X_92,addition(one,addition(one,X_113))) = addition(X_92,multiplication(X_92,addition(X_113,one))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_113,one)),addition(one,addition(one,X_113))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
multiplication(X_92,addition(one,addition(one,X_113))) = addition(X_92,multiplication(X_92,addition(X_113,one))),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,addition(X_113,one))),addition(X_92,multiplication(X_92,addition(X_113,one)))) )],[refute_0_821,refute_0_833]) ).
cnf(refute_0_835,plain,
addition(one,addition(one,X_113)) = addition(one,X_113),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(one)),bind(X_71,$fot(X_113))]]) ).
cnf(refute_0_836,plain,
multiplication(X_92,addition(one,addition(one,X_113))) = multiplication(X_92,addition(one,addition(one,X_113))),
introduced(tautology,[refl,[$fot(multiplication(X_92,addition(one,addition(one,X_113))))]]) ).
cnf(refute_0_837,plain,
( addition(one,addition(one,X_113)) != addition(one,X_113)
| multiplication(X_92,addition(one,addition(one,X_113))) != multiplication(X_92,addition(one,addition(one,X_113)))
| multiplication(X_92,addition(one,addition(one,X_113))) = multiplication(X_92,addition(one,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(one,addition(one,X_113))),multiplication(X_92,addition(one,addition(one,X_113)))) ),[1,1],$fot(addition(one,X_113))]]) ).
cnf(refute_0_838,plain,
( addition(one,addition(one,X_113)) != addition(one,X_113)
| multiplication(X_92,addition(one,addition(one,X_113))) = multiplication(X_92,addition(one,X_113)) ),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,addition(one,X_113))),multiplication(X_92,addition(one,addition(one,X_113)))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
multiplication(X_92,addition(one,addition(one,X_113))) = multiplication(X_92,addition(one,X_113)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_113)),addition(one,X_113)) )],[refute_0_835,refute_0_838]) ).
cnf(refute_0_840,plain,
( multiplication(X_92,addition(one,addition(one,X_113))) != addition(X_92,multiplication(X_92,addition(X_113,one)))
| multiplication(X_92,addition(one,addition(one,X_113))) != multiplication(X_92,addition(one,X_113))
| multiplication(X_92,addition(one,X_113)) = addition(X_92,multiplication(X_92,addition(X_113,one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(one,addition(one,X_113))),addition(X_92,multiplication(X_92,addition(X_113,one)))) ),[0],$fot(multiplication(X_92,addition(one,X_113)))]]) ).
cnf(refute_0_841,plain,
( multiplication(X_92,addition(one,addition(one,X_113))) != addition(X_92,multiplication(X_92,addition(X_113,one)))
| multiplication(X_92,addition(one,X_113)) = addition(X_92,multiplication(X_92,addition(X_113,one))) ),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,addition(one,X_113))),multiplication(X_92,addition(one,X_113))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
multiplication(X_92,addition(one,X_113)) = addition(X_92,multiplication(X_92,addition(X_113,one))),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,addition(one,X_113))),addition(X_92,multiplication(X_92,addition(X_113,one)))) )],[refute_0_834,refute_0_841]) ).
cnf(refute_0_843,plain,
( multiplication(X_92,addition(one,X_113)) != addition(X_92,multiplication(X_92,addition(X_113,one)))
| addition(X_92,multiplication(X_92,addition(X_113,one))) = multiplication(X_92,addition(one,X_113)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(X_92,addition(one,X_113)))),bind(Y,$fot(addition(X_92,multiplication(X_92,addition(X_113,one)))))]]) ).
cnf(refute_0_844,plain,
addition(X_92,multiplication(X_92,addition(X_113,one))) = multiplication(X_92,addition(one,X_113)),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(one,X_113)),addition(X_92,multiplication(X_92,addition(X_113,one)))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
addition(X_92,multiplication(X_92,addition(X_449,one))) = multiplication(X_92,addition(one,X_449)),
inference(subst,[],[refute_0_844:[bind(X_113,$fot(X_449))]]) ).
cnf(refute_0_846,plain,
( addition(X_92,multiplication(X_92,addition(X_449,one))) != multiplication(X_92,addition(one,X_449))
| multiplication(X_92,addition(X_449,one)) != addition(X_92,multiplication(X_92,addition(X_449,one)))
| multiplication(X_92,addition(X_449,one)) = multiplication(X_92,addition(one,X_449)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_92,addition(X_449,one)),addition(X_92,multiplication(X_92,addition(X_449,one)))) ),[1],$fot(multiplication(X_92,addition(one,X_449)))]]) ).
cnf(refute_0_847,plain,
( multiplication(X_92,addition(X_449,one)) != addition(X_92,multiplication(X_92,addition(X_449,one)))
| multiplication(X_92,addition(X_449,one)) = multiplication(X_92,addition(one,X_449)) ),
inference(resolve,[$cnf( $equal(addition(X_92,multiplication(X_92,addition(X_449,one))),multiplication(X_92,addition(one,X_449))) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
( multiplication(X_92,addition(X_449,addition(one,one))) != addition(X_92,multiplication(X_92,addition(X_449,one)))
| multiplication(X_92,addition(X_449,one)) = multiplication(X_92,addition(one,X_449)) ),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(X_449,one)),addition(X_92,multiplication(X_92,addition(X_449,one)))) )],[refute_0_820,refute_0_847]) ).
cnf(refute_0_849,plain,
multiplication(X_92,addition(X_449,one)) = multiplication(X_92,addition(one,X_449)),
inference(resolve,[$cnf( $equal(multiplication(X_92,addition(X_449,addition(one,one))),addition(X_92,multiplication(X_92,addition(X_449,one)))) )],[refute_0_810,refute_0_848]) ).
cnf(refute_0_850,plain,
multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))),
inference(subst,[],[refute_0_849:[bind(X_449,$fot(domain(X_480))),bind(X_92,$fot(addition(domain(X_480),X_479)))]]) ).
cnf(refute_0_851,plain,
( multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) != multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480)))
| multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) != addition(domain(X_480),X_479)
| multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = addition(domain(X_480),X_479) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)))),bind(Y,$fot(multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))))),bind(Z,$fot(addition(domain(X_480),X_479)))]]) ).
cnf(refute_0_852,plain,
( multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))) != addition(domain(X_480),X_479)
| multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = addition(domain(X_480),X_479) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)),multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480)))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) = addition(domain(X_480),X_479),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(one,domain(X_480))),addition(domain(X_480),X_479)) )],[refute_0_732,refute_0_852]) ).
cnf(refute_0_854,plain,
( multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) != addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))
| multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) != addition(domain(X_480),X_479)
| addition(domain(X_480),X_479) = addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)),addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))) ),[0],$fot(addition(domain(X_480),X_479))]]) ).
cnf(refute_0_855,plain,
( multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) != addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))
| addition(domain(X_480),X_479) = addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)),addition(domain(X_480),X_479)) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))) = addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))),
inference(subst,[],[refute_0_126:[bind(A,$fot(domain(X_480))),bind(B,$fot(X_479)),bind(C,$fot(multiplication(addition(one,X_479),domain(X_480))))]]) ).
cnf(refute_0_857,plain,
( addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))) != addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))
| addition(domain(X_480),X_479) != addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))
| addition(domain(X_480),X_479) = addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_480),X_479),addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))) ),[1],$fot(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))))]]) ).
cnf(refute_0_858,plain,
( addition(domain(X_480),X_479) != addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))
| addition(domain(X_480),X_479) = addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) ),
inference(resolve,[$cnf( $equal(addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480))),addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
( multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)) != addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))
| addition(domain(X_480),X_479) = addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_480),X_479),addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))) )],[refute_0_855,refute_0_858]) ).
cnf(refute_0_860,plain,
addition(domain(X_480),X_479) = addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_480),X_479),addition(domain(X_480),one)),addition(addition(domain(X_480),X_479),multiplication(addition(one,X_479),domain(X_480)))) )],[refute_0_723,refute_0_859]) ).
cnf(refute_0_861,plain,
addition(domain(X_480),addition(X_479,domain(X_480))) = addition(X_479,domain(X_480)),
inference(subst,[],[refute_0_380:[bind(X_70,$fot(X_479)),bind(X_71,$fot(domain(X_480)))]]) ).
cnf(refute_0_862,plain,
multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = addition(addition(X_483,domain(X_484)),multiplication(addition(X_483,domain(X_484)),domain(X_484))),
inference(subst,[],[refute_0_718:[bind(X_95,$fot(addition(X_483,domain(X_484)))),bind(X_96,$fot(domain(X_484)))]]) ).
cnf(refute_0_863,plain,
multiplication(addition(A,domain(X_478)),domain(X_478)) = addition(multiplication(A,domain(X_478)),multiplication(domain(X_478),domain(X_478))),
inference(subst,[],[refute_0_71:[bind(B,$fot(domain(X_478))),bind(C,$fot(domain(X_478)))]]) ).
cnf(refute_0_864,plain,
( multiplication(addition(A,domain(X_478)),domain(X_478)) != addition(multiplication(A,domain(X_478)),multiplication(domain(X_478),domain(X_478)))
| multiplication(domain(X_478),domain(X_478)) != domain(X_478)
| multiplication(addition(A,domain(X_478)),domain(X_478)) = addition(multiplication(A,domain(X_478)),domain(X_478)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,domain(X_478)),domain(X_478)),addition(multiplication(A,domain(X_478)),multiplication(domain(X_478),domain(X_478)))) ),[1,1],$fot(domain(X_478))]]) ).
cnf(refute_0_865,plain,
( multiplication(addition(A,domain(X_478)),domain(X_478)) != addition(multiplication(A,domain(X_478)),multiplication(domain(X_478),domain(X_478)))
| multiplication(addition(A,domain(X_478)),domain(X_478)) = addition(multiplication(A,domain(X_478)),domain(X_478)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_478),domain(X_478)),domain(X_478)) )],[refute_0_656,refute_0_864]) ).
cnf(refute_0_866,plain,
multiplication(addition(A,domain(X_478)),domain(X_478)) = addition(multiplication(A,domain(X_478)),domain(X_478)),
inference(resolve,[$cnf( $equal(multiplication(addition(A,domain(X_478)),domain(X_478)),addition(multiplication(A,domain(X_478)),multiplication(domain(X_478),domain(X_478)))) )],[refute_0_863,refute_0_865]) ).
cnf(refute_0_867,plain,
addition(domain(X_478),multiplication(A,domain(X_478))) = multiplication(addition(one,A),domain(X_478)),
inference(subst,[],[refute_0_676:[bind(X_289,$fot(A)),bind(X_290,$fot(domain(X_478)))]]) ).
cnf(refute_0_868,plain,
addition(multiplication(A,domain(X_478)),domain(X_478)) = addition(domain(X_478),multiplication(A,domain(X_478))),
inference(subst,[],[refute_0_56:[bind(A,$fot(domain(X_478))),bind(B,$fot(multiplication(A,domain(X_478))))]]) ).
cnf(refute_0_869,plain,
( addition(domain(X_478),multiplication(A,domain(X_478))) != multiplication(addition(one,A),domain(X_478))
| addition(multiplication(A,domain(X_478)),domain(X_478)) != addition(domain(X_478),multiplication(A,domain(X_478)))
| addition(multiplication(A,domain(X_478)),domain(X_478)) = multiplication(addition(one,A),domain(X_478)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(multiplication(A,domain(X_478)),domain(X_478)))),bind(Y,$fot(addition(domain(X_478),multiplication(A,domain(X_478))))),bind(Z,$fot(multiplication(addition(one,A),domain(X_478))))]]) ).
cnf(refute_0_870,plain,
( addition(domain(X_478),multiplication(A,domain(X_478))) != multiplication(addition(one,A),domain(X_478))
| addition(multiplication(A,domain(X_478)),domain(X_478)) = multiplication(addition(one,A),domain(X_478)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,domain(X_478)),domain(X_478)),addition(domain(X_478),multiplication(A,domain(X_478)))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
addition(multiplication(A,domain(X_478)),domain(X_478)) = multiplication(addition(one,A),domain(X_478)),
inference(resolve,[$cnf( $equal(addition(domain(X_478),multiplication(A,domain(X_478))),multiplication(addition(one,A),domain(X_478))) )],[refute_0_867,refute_0_870]) ).
cnf(refute_0_872,plain,
( addition(multiplication(A,domain(X_478)),domain(X_478)) != multiplication(addition(one,A),domain(X_478))
| multiplication(addition(A,domain(X_478)),domain(X_478)) != addition(multiplication(A,domain(X_478)),domain(X_478))
| multiplication(addition(A,domain(X_478)),domain(X_478)) = multiplication(addition(one,A),domain(X_478)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,domain(X_478)),domain(X_478)),addition(multiplication(A,domain(X_478)),domain(X_478))) ),[1],$fot(multiplication(addition(one,A),domain(X_478)))]]) ).
cnf(refute_0_873,plain,
( multiplication(addition(A,domain(X_478)),domain(X_478)) != addition(multiplication(A,domain(X_478)),domain(X_478))
| multiplication(addition(A,domain(X_478)),domain(X_478)) = multiplication(addition(one,A),domain(X_478)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,domain(X_478)),domain(X_478)),multiplication(addition(one,A),domain(X_478))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
multiplication(addition(A,domain(X_478)),domain(X_478)) = multiplication(addition(one,A),domain(X_478)),
inference(resolve,[$cnf( $equal(multiplication(addition(A,domain(X_478)),domain(X_478)),addition(multiplication(A,domain(X_478)),domain(X_478))) )],[refute_0_866,refute_0_873]) ).
cnf(refute_0_875,plain,
multiplication(addition(X_483,domain(X_484)),domain(X_484)) = multiplication(addition(one,X_483),domain(X_484)),
inference(subst,[],[refute_0_874:[bind(A,$fot(X_483)),bind(X_478,$fot(X_484))]]) ).
cnf(refute_0_876,plain,
( multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) != addition(addition(X_483,domain(X_484)),multiplication(addition(X_483,domain(X_484)),domain(X_484)))
| multiplication(addition(X_483,domain(X_484)),domain(X_484)) != multiplication(addition(one,X_483),domain(X_484))
| multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)),addition(addition(X_483,domain(X_484)),multiplication(addition(X_483,domain(X_484)),domain(X_484)))) ),[1,1],$fot(multiplication(addition(one,X_483),domain(X_484)))]]) ).
cnf(refute_0_877,plain,
( multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) != addition(addition(X_483,domain(X_484)),multiplication(addition(X_483,domain(X_484)),domain(X_484)))
| multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)),addition(addition(X_483,domain(X_484)),multiplication(addition(X_483,domain(X_484)),domain(X_484)))) )],[refute_0_862,refute_0_877]) ).
cnf(refute_0_879,plain,
multiplication(addition(X_483,domain(X_484)),one) = addition(X_483,domain(X_484)),
inference(subst,[],[refute_0_178:[bind(A,$fot(addition(X_483,domain(X_484))))]]) ).
cnf(refute_0_880,plain,
addition(one,domain(X_484)) = one,
inference(subst,[],[refute_0_60:[bind(X0,$fot(X_484))]]) ).
cnf(refute_0_881,plain,
multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) = multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))),
introduced(tautology,[refl,[$fot(multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))))]]) ).
cnf(refute_0_882,plain,
( addition(one,domain(X_484)) != one
| multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) != multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484)))
| multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) = multiplication(addition(X_483,domain(X_484)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))),multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_883,plain,
( addition(one,domain(X_484)) != one
| multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) = multiplication(addition(X_483,domain(X_484)),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))),multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484)))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) = multiplication(addition(X_483,domain(X_484)),one),
inference(resolve,[$cnf( $equal(addition(one,domain(X_484)),one) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
( multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) != multiplication(addition(X_483,domain(X_484)),one)
| multiplication(addition(X_483,domain(X_484)),one) != addition(X_483,domain(X_484))
| multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) = addition(X_483,domain(X_484)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))))),bind(Y,$fot(multiplication(addition(X_483,domain(X_484)),one))),bind(Z,$fot(addition(X_483,domain(X_484))))]]) ).
cnf(refute_0_886,plain,
( multiplication(addition(X_483,domain(X_484)),one) != addition(X_483,domain(X_484))
| multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) = addition(X_483,domain(X_484)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))),multiplication(addition(X_483,domain(X_484)),one)) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) = addition(X_483,domain(X_484)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),one),addition(X_483,domain(X_484))) )],[refute_0_879,refute_0_886]) ).
cnf(refute_0_888,plain,
multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))),
inference(subst,[],[refute_0_849:[bind(X_449,$fot(domain(X_484))),bind(X_92,$fot(addition(X_483,domain(X_484))))]]) ).
cnf(refute_0_889,plain,
( multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) != multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484)))
| multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) != addition(X_483,domain(X_484))
| multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = addition(X_483,domain(X_484)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)))),bind(Y,$fot(multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))))),bind(Z,$fot(addition(X_483,domain(X_484))))]]) ).
cnf(refute_0_890,plain,
( multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))) != addition(X_483,domain(X_484))
| multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = addition(X_483,domain(X_484)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)),multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484)))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) = addition(X_483,domain(X_484)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(one,domain(X_484))),addition(X_483,domain(X_484))) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
( multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) != addition(X_483,domain(X_484))
| multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) != addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))
| addition(X_483,domain(X_484)) = addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)),addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))) ),[0],$fot(addition(X_483,domain(X_484)))]]) ).
cnf(refute_0_893,plain,
( multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) != addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))
| addition(X_483,domain(X_484)) = addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)),addition(X_483,domain(X_484))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
addition(one,addition(one,X_483)) = addition(one,X_483),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(one)),bind(X_71,$fot(X_483))]]) ).
cnf(refute_0_895,plain,
multiplication(addition(one,addition(one,X_483)),domain(X_484)) = multiplication(addition(one,addition(one,X_483)),domain(X_484)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,addition(one,X_483)),domain(X_484)))]]) ).
cnf(refute_0_896,plain,
( addition(one,addition(one,X_483)) != addition(one,X_483)
| multiplication(addition(one,addition(one,X_483)),domain(X_484)) != multiplication(addition(one,addition(one,X_483)),domain(X_484))
| multiplication(addition(one,addition(one,X_483)),domain(X_484)) = multiplication(addition(one,X_483),domain(X_484)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,addition(one,X_483)),domain(X_484)),multiplication(addition(one,addition(one,X_483)),domain(X_484))) ),[1,0],$fot(addition(one,X_483))]]) ).
cnf(refute_0_897,plain,
( addition(one,addition(one,X_483)) != addition(one,X_483)
| multiplication(addition(one,addition(one,X_483)),domain(X_484)) = multiplication(addition(one,X_483),domain(X_484)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(one,X_483)),domain(X_484)),multiplication(addition(one,addition(one,X_483)),domain(X_484))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
multiplication(addition(one,addition(one,X_483)),domain(X_484)) = multiplication(addition(one,X_483),domain(X_484)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_483)),addition(one,X_483)) )],[refute_0_894,refute_0_897]) ).
cnf(refute_0_899,plain,
addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) = addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))),
introduced(tautology,[refl,[$fot(addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))))]]) ).
cnf(refute_0_900,plain,
( addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) != addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))
| multiplication(addition(one,addition(one,X_483)),domain(X_484)) != multiplication(addition(one,X_483),domain(X_484))
| addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))),addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))) ),[1,1],$fot(multiplication(addition(one,X_483),domain(X_484)))]]) ).
cnf(refute_0_901,plain,
( multiplication(addition(one,addition(one,X_483)),domain(X_484)) != multiplication(addition(one,X_483),domain(X_484))
| addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))) ),
inference(resolve,[$cnf( $equal(addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))),addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(one,X_483)),domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) )],[refute_0_898,refute_0_901]) ).
cnf(refute_0_903,plain,
addition(A,addition(B,multiplication(X_292,B))) = addition(addition(A,B),multiplication(X_292,B)),
inference(subst,[],[refute_0_101:[bind(C,$fot(multiplication(X_292,B)))]]) ).
cnf(refute_0_904,plain,
multiplication(addition(one,X_292),B) = addition(B,multiplication(X_292,B)),
inference(subst,[],[refute_0_76:[bind(X_106,$fot(X_292)),bind(X_107,$fot(B))]]) ).
cnf(refute_0_905,plain,
( multiplication(addition(one,X_292),B) != addition(B,multiplication(X_292,B))
| addition(B,multiplication(X_292,B)) = multiplication(addition(one,X_292),B) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(addition(one,X_292),B))),bind(Y,$fot(addition(B,multiplication(X_292,B))))]]) ).
cnf(refute_0_906,plain,
addition(B,multiplication(X_292,B)) = multiplication(addition(one,X_292),B),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_292),B),addition(B,multiplication(X_292,B))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
( addition(A,addition(B,multiplication(X_292,B))) != addition(addition(A,B),multiplication(X_292,B))
| addition(B,multiplication(X_292,B)) != multiplication(addition(one,X_292),B)
| addition(A,multiplication(addition(one,X_292),B)) = addition(addition(A,B),multiplication(X_292,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,multiplication(X_292,B))),addition(addition(A,B),multiplication(X_292,B))) ),[0,1],$fot(multiplication(addition(one,X_292),B))]]) ).
cnf(refute_0_908,plain,
( addition(A,addition(B,multiplication(X_292,B))) != addition(addition(A,B),multiplication(X_292,B))
| addition(A,multiplication(addition(one,X_292),B)) = addition(addition(A,B),multiplication(X_292,B)) ),
inference(resolve,[$cnf( $equal(addition(B,multiplication(X_292,B)),multiplication(addition(one,X_292),B)) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
addition(A,multiplication(addition(one,X_292),B)) = addition(addition(A,B),multiplication(X_292,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,multiplication(X_292,B))),addition(addition(A,B),multiplication(X_292,B))) )],[refute_0_903,refute_0_908]) ).
cnf(refute_0_910,plain,
addition(addition(A,B),multiplication(X_292,B)) = addition(A,addition(B,multiplication(X_292,B))),
inference(subst,[],[refute_0_126:[bind(C,$fot(multiplication(X_292,B)))]]) ).
cnf(refute_0_911,plain,
( addition(A,multiplication(addition(one,X_292),B)) != addition(addition(A,B),multiplication(X_292,B))
| addition(addition(A,B),multiplication(X_292,B)) != addition(A,addition(B,multiplication(X_292,B)))
| addition(A,multiplication(addition(one,X_292),B)) = addition(A,addition(B,multiplication(X_292,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,multiplication(addition(one,X_292),B)),addition(A,addition(B,multiplication(X_292,B)))) ),[0],$fot(addition(addition(A,B),multiplication(X_292,B)))]]) ).
cnf(refute_0_912,plain,
( addition(A,multiplication(addition(one,X_292),B)) != addition(addition(A,B),multiplication(X_292,B))
| addition(A,multiplication(addition(one,X_292),B)) = addition(A,addition(B,multiplication(X_292,B))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),multiplication(X_292,B)),addition(A,addition(B,multiplication(X_292,B)))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
addition(A,multiplication(addition(one,X_292),B)) = addition(A,addition(B,multiplication(X_292,B))),
inference(resolve,[$cnf( $equal(addition(A,multiplication(addition(one,X_292),B)),addition(addition(A,B),multiplication(X_292,B))) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
( addition(A,multiplication(addition(one,X_292),B)) != addition(A,addition(B,multiplication(X_292,B)))
| addition(A,addition(B,multiplication(X_292,B))) = addition(A,multiplication(addition(one,X_292),B)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,multiplication(addition(one,X_292),B)))),bind(Y,$fot(addition(A,addition(B,multiplication(X_292,B)))))]]) ).
cnf(refute_0_915,plain,
addition(A,addition(B,multiplication(X_292,B))) = addition(A,multiplication(addition(one,X_292),B)),
inference(resolve,[$cnf( $equal(addition(A,multiplication(addition(one,X_292),B)),addition(A,addition(B,multiplication(X_292,B)))) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484)))) = addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))),
inference(subst,[],[refute_0_915:[bind(A,$fot(X_483)),bind(B,$fot(domain(X_484))),bind(X_292,$fot(addition(one,X_483)))]]) ).
cnf(refute_0_917,plain,
addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484)))),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_483)),bind(B,$fot(domain(X_484))),bind(C,$fot(multiplication(addition(one,X_483),domain(X_484))))]]) ).
cnf(refute_0_918,plain,
( addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484)))) != addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))
| addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) != addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484))))
| addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))))),bind(Y,$fot(addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484)))))),bind(Z,$fot(addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))))]]) ).
cnf(refute_0_919,plain,
( addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484)))) != addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))
| addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))),addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484))))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))),
inference(resolve,[$cnf( $equal(addition(X_483,addition(domain(X_484),multiplication(addition(one,X_483),domain(X_484)))),addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))) )],[refute_0_916,refute_0_919]) ).
cnf(refute_0_921,plain,
( addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) != addition(X_483,multiplication(addition(one,X_483),domain(X_484)))
| addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) != addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))
| addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))))),bind(Y,$fot(addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))))),bind(Z,$fot(addition(X_483,multiplication(addition(one,X_483),domain(X_484)))))]]) ).
cnf(refute_0_922,plain,
( addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))) != addition(X_483,multiplication(addition(one,X_483),domain(X_484)))
| addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))),addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484)))) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))),
inference(resolve,[$cnf( $equal(addition(X_483,multiplication(addition(one,addition(one,X_483)),domain(X_484))),addition(X_483,multiplication(addition(one,X_483),domain(X_484)))) )],[refute_0_902,refute_0_922]) ).
cnf(refute_0_924,plain,
( addition(X_483,domain(X_484)) != addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))
| addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))) != addition(X_483,multiplication(addition(one,X_483),domain(X_484)))
| addition(X_483,domain(X_484)) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_483,domain(X_484)),addition(X_483,multiplication(addition(one,X_483),domain(X_484)))) ),[0],$fot(addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))))]]) ).
cnf(refute_0_925,plain,
( addition(X_483,domain(X_484)) != addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))
| addition(X_483,domain(X_484)) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484))),addition(X_483,multiplication(addition(one,X_483),domain(X_484)))) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
( multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)) != addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))
| addition(X_483,domain(X_484)) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))) ),
inference(resolve,[$cnf( $equal(addition(X_483,domain(X_484)),addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))) )],[refute_0_893,refute_0_925]) ).
cnf(refute_0_927,plain,
addition(X_483,domain(X_484)) = addition(X_483,multiplication(addition(one,X_483),domain(X_484))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_483,domain(X_484)),addition(domain(X_484),one)),addition(addition(X_483,domain(X_484)),multiplication(addition(one,X_483),domain(X_484)))) )],[refute_0_878,refute_0_926]) ).
cnf(refute_0_928,plain,
( addition(X_483,domain(X_484)) != addition(X_483,multiplication(addition(one,X_483),domain(X_484)))
| addition(X_483,multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,domain(X_484)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_483,domain(X_484)))),bind(Y,$fot(addition(X_483,multiplication(addition(one,X_483),domain(X_484)))))]]) ).
cnf(refute_0_929,plain,
addition(X_483,multiplication(addition(one,X_483),domain(X_484))) = addition(X_483,domain(X_484)),
inference(resolve,[$cnf( $equal(addition(X_483,domain(X_484)),addition(X_483,multiplication(addition(one,X_483),domain(X_484)))) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
addition(X_479,multiplication(addition(one,X_479),domain(X_480))) = addition(X_479,domain(X_480)),
inference(subst,[],[refute_0_929:[bind(X_483,$fot(X_479)),bind(X_484,$fot(X_480))]]) ).
cnf(refute_0_931,plain,
addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) = addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))),
introduced(tautology,[refl,[$fot(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))))]]) ).
cnf(refute_0_932,plain,
( addition(X_479,multiplication(addition(one,X_479),domain(X_480))) != addition(X_479,domain(X_480))
| addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) != addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))
| addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) = addition(domain(X_480),addition(X_479,domain(X_480))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))),addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))) ),[1,1],$fot(addition(X_479,domain(X_480)))]]) ).
cnf(refute_0_933,plain,
( addition(X_479,multiplication(addition(one,X_479),domain(X_480))) != addition(X_479,domain(X_480))
| addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) = addition(domain(X_480),addition(X_479,domain(X_480))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))),addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) = addition(domain(X_480),addition(X_479,domain(X_480))),
inference(resolve,[$cnf( $equal(addition(X_479,multiplication(addition(one,X_479),domain(X_480))),addition(X_479,domain(X_480))) )],[refute_0_930,refute_0_933]) ).
cnf(refute_0_935,plain,
( addition(domain(X_480),addition(X_479,domain(X_480))) != addition(X_479,domain(X_480))
| addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) != addition(domain(X_480),addition(X_479,domain(X_480)))
| addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) = addition(X_479,domain(X_480)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))))),bind(Y,$fot(addition(domain(X_480),addition(X_479,domain(X_480))))),bind(Z,$fot(addition(X_479,domain(X_480))))]]) ).
cnf(refute_0_936,plain,
( addition(domain(X_480),addition(X_479,domain(X_480))) != addition(X_479,domain(X_480))
| addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) = addition(X_479,domain(X_480)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))),addition(domain(X_480),addition(X_479,domain(X_480)))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) = addition(X_479,domain(X_480)),
inference(resolve,[$cnf( $equal(addition(domain(X_480),addition(X_479,domain(X_480))),addition(X_479,domain(X_480))) )],[refute_0_861,refute_0_936]) ).
cnf(refute_0_938,plain,
( addition(domain(X_480),X_479) != addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))
| addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))) != addition(X_479,domain(X_480))
| addition(domain(X_480),X_479) = addition(X_479,domain(X_480)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(X_480),X_479),addition(X_479,domain(X_480))) ),[0],$fot(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))))]]) ).
cnf(refute_0_939,plain,
( addition(domain(X_480),X_479) != addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))
| addition(domain(X_480),X_479) = addition(X_479,domain(X_480)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480)))),addition(X_479,domain(X_480))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
addition(domain(X_480),X_479) = addition(X_479,domain(X_480)),
inference(resolve,[$cnf( $equal(addition(domain(X_480),X_479),addition(domain(X_480),addition(X_479,multiplication(addition(one,X_479),domain(X_480))))) )],[refute_0_860,refute_0_939]) ).
cnf(refute_0_941,plain,
( addition(domain(X_480),X_479) != addition(X_479,domain(X_480))
| addition(X_479,domain(X_480)) = addition(domain(X_480),X_479) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(domain(X_480),X_479))),bind(Y,$fot(addition(X_479,domain(X_480))))]]) ).
cnf(refute_0_942,plain,
addition(X_479,domain(X_480)) = addition(domain(X_480),X_479),
inference(resolve,[$cnf( $equal(addition(domain(X_480),X_479),addition(X_479,domain(X_480))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950)) = addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),B)),
inference(subst,[],[refute_0_942:[bind(X_479,$fot(multiplication(domain(addition(X_950,X_949)),B))),bind(X_480,$fot(X_950))]]) ).
cnf(refute_0_944,plain,
( addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950)) != addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),B))
| multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) != addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950))
| multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) = addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))),addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950))) ),[1],$fot(addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),B)))]]) ).
cnf(refute_0_945,plain,
( multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) != addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950))
| multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) = addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950)),addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),B))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))) = addition(domain(X_950),multiplication(domain(addition(X_950,X_949)),B)),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_950,X_949)),addition(B,domain(X_950))),addition(multiplication(domain(addition(X_950,X_949)),B),domain(X_950))) )],[refute_0_711,refute_0_945]) ).
cnf(refute_0_947,plain,
multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) = addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932)),
inference(subst,[],[refute_0_946:[bind(B,$fot(X_932)),bind(X_949,$fot(X_932)),bind(X_950,$fot(X_31))]]) ).
cnf(refute_0_948,plain,
( addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932)) != addition(domain(X_31),X_932)
| multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) != addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932))
| multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) = addition(domain(X_31),X_932) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))))),bind(Y,$fot(addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932)))),bind(Z,$fot(addition(domain(X_31),X_932)))]]) ).
cnf(refute_0_949,plain,
( addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932)) != addition(domain(X_31),X_932)
| multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) = addition(domain(X_31),X_932) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))),addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) = addition(domain(X_31),X_932),
inference(resolve,[$cnf( $equal(addition(domain(X_31),multiplication(domain(addition(X_31,X_932)),X_932)),addition(domain(X_31),X_932)) )],[refute_0_707,refute_0_949]) ).
cnf(refute_0_951,plain,
( addition(X_932,domain(X_31)) != multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31)))
| multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))) != addition(domain(X_31),X_932)
| addition(X_932,domain(X_31)) = addition(domain(X_31),X_932) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_932,domain(X_31)),addition(domain(X_31),X_932)) ),[0],$fot(multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))))]]) ).
cnf(refute_0_952,plain,
( addition(X_932,domain(X_31)) != multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31)))
| addition(X_932,domain(X_31)) = addition(domain(X_31),X_932) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31))),addition(domain(X_31),X_932)) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
addition(X_932,domain(X_31)) = addition(domain(X_31),X_932),
inference(resolve,[$cnf( $equal(addition(X_932,domain(X_31)),multiplication(domain(addition(X_31,X_932)),addition(X_932,domain(X_31)))) )],[refute_0_612,refute_0_952]) ).
cnf(refute_0_954,plain,
addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)) = addition(domain(X0),antidomain(multiplication(domain(X_995),X0))),
inference(subst,[],[refute_0_953:[bind(X_31,$fot(X0)),bind(X_932,$fot(antidomain(multiplication(domain(X_995),X0))))]]) ).
cnf(refute_0_955,plain,
( addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)) != addition(domain(X0),antidomain(multiplication(domain(X_995),X0)))
| addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)) != one
| addition(domain(X0),antidomain(multiplication(domain(X_995),X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)),one) ),[0],$fot(addition(domain(X0),antidomain(multiplication(domain(X_995),X0))))]]) ).
cnf(refute_0_956,plain,
( addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)) != one
| addition(domain(X0),antidomain(multiplication(domain(X_995),X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)),addition(domain(X0),antidomain(multiplication(domain(X_995),X0)))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
addition(domain(X0),antidomain(multiplication(domain(X_995),X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X_995),X0)),domain(X0)),one) )],[refute_0_582,refute_0_956]) ).
cnf(refute_0_958,plain,
addition(domain(antidomain(antidomain(X_1003))),antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003))))) = one,
inference(subst,[],[refute_0_957:[bind(X0,$fot(antidomain(antidomain(X_1003)))),bind(X_995,$fot(X_1003))]]) ).
cnf(refute_0_959,plain,
multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = addition(antidomain(X_437),multiplication(antidomain(X_437),antidomain(domain(X_437)))),
inference(subst,[],[refute_0_718:[bind(X_95,$fot(antidomain(X_437))),bind(X_96,$fot(antidomain(domain(X_437))))]]) ).
cnf(refute_0_960,plain,
multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) = addition(multiplication(domain(X_31),antidomain(domain(X_31))),multiplication(X_106,antidomain(domain(X_31)))),
inference(subst,[],[refute_0_71:[bind(A,$fot(domain(X_31))),bind(B,$fot(X_106)),bind(C,$fot(antidomain(domain(X_31))))]]) ).
cnf(refute_0_961,plain,
multiplication(domain(X1),antidomain(X1)) = zero,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_962,plain,
multiplication(domain(domain(X_31)),antidomain(domain(X_31))) = zero,
inference(subst,[],[refute_0_961:[bind(X1,$fot(domain(X_31)))]]) ).
cnf(refute_0_963,plain,
( domain(domain(X_31)) != domain(X_31)
| multiplication(domain(domain(X_31)),antidomain(domain(X_31))) != zero
| multiplication(domain(X_31),antidomain(domain(X_31))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_31)),antidomain(domain(X_31))),zero) ),[0,0],$fot(domain(X_31))]]) ).
cnf(refute_0_964,plain,
( multiplication(domain(domain(X_31)),antidomain(domain(X_31))) != zero
| multiplication(domain(X_31),antidomain(domain(X_31))) = zero ),
inference(resolve,[$cnf( $equal(domain(domain(X_31)),domain(X_31)) )],[refute_0_601,refute_0_963]) ).
cnf(refute_0_965,plain,
multiplication(domain(X_31),antidomain(domain(X_31))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_31)),antidomain(domain(X_31))),zero) )],[refute_0_962,refute_0_964]) ).
cnf(refute_0_966,plain,
( multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) != addition(multiplication(domain(X_31),antidomain(domain(X_31))),multiplication(X_106,antidomain(domain(X_31))))
| multiplication(domain(X_31),antidomain(domain(X_31))) != zero
| multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) = addition(zero,multiplication(X_106,antidomain(domain(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))),addition(multiplication(domain(X_31),antidomain(domain(X_31))),multiplication(X_106,antidomain(domain(X_31))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_967,plain,
( multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) != addition(multiplication(domain(X_31),antidomain(domain(X_31))),multiplication(X_106,antidomain(domain(X_31))))
| multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) = addition(zero,multiplication(X_106,antidomain(domain(X_31)))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),antidomain(domain(X_31))),zero) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) = addition(zero,multiplication(X_106,antidomain(domain(X_31)))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))),addition(multiplication(domain(X_31),antidomain(domain(X_31))),multiplication(X_106,antidomain(domain(X_31))))) )],[refute_0_960,refute_0_967]) ).
cnf(refute_0_969,plain,
addition(zero,multiplication(X_106,antidomain(domain(X_31)))) = multiplication(X_106,antidomain(domain(X_31))),
inference(subst,[],[refute_0_32:[bind(A,$fot(multiplication(X_106,antidomain(domain(X_31)))))]]) ).
cnf(refute_0_970,plain,
( addition(zero,multiplication(X_106,antidomain(domain(X_31)))) != multiplication(X_106,antidomain(domain(X_31)))
| multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) != addition(zero,multiplication(X_106,antidomain(domain(X_31))))
| multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) = multiplication(X_106,antidomain(domain(X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))),addition(zero,multiplication(X_106,antidomain(domain(X_31))))) ),[1],$fot(multiplication(X_106,antidomain(domain(X_31))))]]) ).
cnf(refute_0_971,plain,
( multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) != addition(zero,multiplication(X_106,antidomain(domain(X_31))))
| multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) = multiplication(X_106,antidomain(domain(X_31))) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_106,antidomain(domain(X_31)))),multiplication(X_106,antidomain(domain(X_31)))) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))) = multiplication(X_106,antidomain(domain(X_31))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_31),X_106),antidomain(domain(X_31))),addition(zero,multiplication(X_106,antidomain(domain(X_31))))) )],[refute_0_968,refute_0_971]) ).
cnf(refute_0_973,plain,
multiplication(addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))),antidomain(domain(X_109))) = multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109))),
inference(subst,[],[refute_0_972:[bind(X_106,$fot(antidomain(multiplication(X_109,addition(X_54,one))))),bind(X_31,$fot(X_109))]]) ).
cnf(refute_0_974,plain,
addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(multiplication(X_55,addition(X_54,one)))) = one,
inference(subst,[],[refute_0_107:[bind(X1,$fot(multiplication(X_55,addition(X_54,one))))]]) ).
cnf(refute_0_975,plain,
domain(multiplication(X_29,addition(X0,one))) = domain(multiplication(X_29,domain(addition(X0,one)))),
inference(subst,[],[refute_0_585:[bind(X0,$fot(X_29)),bind(X1,$fot(addition(X0,one)))]]) ).
cnf(refute_0_976,plain,
( domain(addition(X0,one)) != one
| domain(multiplication(X_29,addition(X0,one))) != domain(multiplication(X_29,domain(addition(X0,one))))
| domain(multiplication(X_29,addition(X0,one))) = domain(multiplication(X_29,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_29,addition(X0,one))),domain(multiplication(X_29,domain(addition(X0,one))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_977,plain,
( domain(multiplication(X_29,addition(X0,one))) != domain(multiplication(X_29,domain(addition(X0,one))))
| domain(multiplication(X_29,addition(X0,one))) = domain(multiplication(X_29,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X0,one)),one) )],[refute_0_279,refute_0_976]) ).
cnf(refute_0_978,plain,
domain(multiplication(X_29,addition(X0,one))) = domain(multiplication(X_29,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,addition(X0,one))),domain(multiplication(X_29,domain(addition(X0,one))))) )],[refute_0_975,refute_0_977]) ).
cnf(refute_0_979,plain,
multiplication(X_29,one) = X_29,
inference(subst,[],[refute_0_178:[bind(A,$fot(X_29))]]) ).
cnf(refute_0_980,plain,
domain(multiplication(X_29,one)) = domain(multiplication(X_29,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X_29,one)))]]) ).
cnf(refute_0_981,plain,
( domain(multiplication(X_29,one)) != domain(multiplication(X_29,one))
| multiplication(X_29,one) != X_29
| domain(multiplication(X_29,one)) = domain(X_29) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_29,one)),domain(multiplication(X_29,one))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_982,plain,
( multiplication(X_29,one) != X_29
| domain(multiplication(X_29,one)) = domain(X_29) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,one)),domain(multiplication(X_29,one))) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
domain(multiplication(X_29,one)) = domain(X_29),
inference(resolve,[$cnf( $equal(multiplication(X_29,one),X_29) )],[refute_0_979,refute_0_982]) ).
cnf(refute_0_984,plain,
( domain(multiplication(X_29,addition(X0,one))) != domain(multiplication(X_29,one))
| domain(multiplication(X_29,one)) != domain(X_29)
| domain(multiplication(X_29,addition(X0,one))) = domain(X_29) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X_29,addition(X0,one))),domain(X_29)) ),[0],$fot(domain(multiplication(X_29,one)))]]) ).
cnf(refute_0_985,plain,
( domain(multiplication(X_29,addition(X0,one))) != domain(multiplication(X_29,one))
| domain(multiplication(X_29,addition(X0,one))) = domain(X_29) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,one)),domain(X_29)) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
domain(multiplication(X_29,addition(X0,one))) = domain(X_29),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,addition(X0,one))),domain(multiplication(X_29,one))) )],[refute_0_978,refute_0_985]) ).
cnf(refute_0_987,plain,
domain(multiplication(X_55,addition(X_54,one))) = domain(X_55),
inference(subst,[],[refute_0_986:[bind(X0,$fot(X_54)),bind(X_29,$fot(X_55))]]) ).
cnf(refute_0_988,plain,
( addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(multiplication(X_55,addition(X_54,one)))) != one
| domain(multiplication(X_55,addition(X_54,one))) != domain(X_55)
| addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(multiplication(X_55,addition(X_54,one)))),one) ),[0,1],$fot(domain(X_55))]]) ).
cnf(refute_0_989,plain,
( addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(multiplication(X_55,addition(X_54,one)))) != one
| addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)) = one ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_55,addition(X_54,one))),domain(X_55)) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(multiplication(X_55,addition(X_54,one)))),one) )],[refute_0_974,refute_0_989]) ).
cnf(refute_0_991,plain,
addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)) = addition(domain(X_55),antidomain(multiplication(X_55,addition(X_54,one)))),
inference(subst,[],[refute_0_56:[bind(A,$fot(domain(X_55))),bind(B,$fot(antidomain(multiplication(X_55,addition(X_54,one)))))]]) ).
cnf(refute_0_992,plain,
( addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)) != addition(domain(X_55),antidomain(multiplication(X_55,addition(X_54,one))))
| addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)) != one
| addition(domain(X_55),antidomain(multiplication(X_55,addition(X_54,one)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)),one) ),[0],$fot(addition(domain(X_55),antidomain(multiplication(X_55,addition(X_54,one)))))]]) ).
cnf(refute_0_993,plain,
( addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)) != one
| addition(domain(X_55),antidomain(multiplication(X_55,addition(X_54,one)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)),addition(domain(X_55),antidomain(multiplication(X_55,addition(X_54,one))))) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
addition(domain(X_55),antidomain(multiplication(X_55,addition(X_54,one)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_55,addition(X_54,one))),domain(X_55)),one) )],[refute_0_990,refute_0_993]) ).
cnf(refute_0_995,plain,
addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))) = one,
inference(subst,[],[refute_0_994:[bind(X_55,$fot(X_109))]]) ).
cnf(refute_0_996,plain,
( addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))) != one
| multiplication(addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))),antidomain(domain(X_109))) != multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))
| multiplication(one,antidomain(domain(X_109))) = multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))),antidomain(domain(X_109))),multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_997,plain,
( multiplication(addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))),antidomain(domain(X_109))) != multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))
| multiplication(one,antidomain(domain(X_109))) = multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))),one) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
multiplication(one,antidomain(domain(X_109))) = multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_109),antidomain(multiplication(X_109,addition(X_54,one)))),antidomain(domain(X_109))),multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))) )],[refute_0_973,refute_0_997]) ).
cnf(refute_0_999,plain,
multiplication(one,antidomain(domain(X_109))) = antidomain(domain(X_109)),
inference(subst,[],[refute_0_52:[bind(A,$fot(antidomain(domain(X_109))))]]) ).
cnf(refute_0_1000,plain,
( multiplication(one,antidomain(domain(X_109))) != antidomain(domain(X_109))
| multiplication(one,antidomain(domain(X_109))) != multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))
| antidomain(domain(X_109)) = multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(domain(X_109))),multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))) ),[0],$fot(antidomain(domain(X_109)))]]) ).
cnf(refute_0_1001,plain,
( multiplication(one,antidomain(domain(X_109))) != multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))
| antidomain(domain(X_109)) = multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109))) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(domain(X_109))),antidomain(domain(X_109))) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
antidomain(domain(X_109)) = multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109))),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(domain(X_109))),multiplication(antidomain(multiplication(X_109,addition(X_54,one))),antidomain(domain(X_109)))) )],[refute_0_998,refute_0_1001]) ).
cnf(refute_0_1003,plain,
antidomain(domain(X_435)) = multiplication(antidomain(multiplication(X_435,addition(zero,one))),antidomain(domain(X_435))),
inference(subst,[],[refute_0_1002:[bind(X_109,$fot(X_435)),bind(X_54,$fot(zero))]]) ).
cnf(refute_0_1004,plain,
addition(zero,one) = one,
inference(subst,[],[refute_0_32:[bind(A,$fot(one))]]) ).
cnf(refute_0_1005,plain,
( addition(zero,one) != one
| antidomain(domain(X_435)) != multiplication(antidomain(multiplication(X_435,addition(zero,one))),antidomain(domain(X_435)))
| antidomain(domain(X_435)) = multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X_435)),multiplication(antidomain(multiplication(X_435,addition(zero,one))),antidomain(domain(X_435)))) ),[1,0,0,1],$fot(one)]]) ).
cnf(refute_0_1006,plain,
( antidomain(domain(X_435)) != multiplication(antidomain(multiplication(X_435,addition(zero,one))),antidomain(domain(X_435)))
| antidomain(domain(X_435)) = multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) ),
inference(resolve,[$cnf( $equal(addition(zero,one),one) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
antidomain(domain(X_435)) = multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))),
inference(resolve,[$cnf( $equal(antidomain(domain(X_435)),multiplication(antidomain(multiplication(X_435,addition(zero,one))),antidomain(domain(X_435)))) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
multiplication(X_435,one) = X_435,
inference(subst,[],[refute_0_178:[bind(A,$fot(X_435))]]) ).
cnf(refute_0_1009,plain,
antidomain(multiplication(X_435,one)) = antidomain(multiplication(X_435,one)),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X_435,one)))]]) ).
cnf(refute_0_1010,plain,
( antidomain(multiplication(X_435,one)) != antidomain(multiplication(X_435,one))
| multiplication(X_435,one) != X_435
| antidomain(multiplication(X_435,one)) = antidomain(X_435) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X_435,one)),antidomain(multiplication(X_435,one))) ),[1,0],$fot(X_435)]]) ).
cnf(refute_0_1011,plain,
( multiplication(X_435,one) != X_435
| antidomain(multiplication(X_435,one)) = antidomain(X_435) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_435,one)),antidomain(multiplication(X_435,one))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
antidomain(multiplication(X_435,one)) = antidomain(X_435),
inference(resolve,[$cnf( $equal(multiplication(X_435,one),X_435) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) = multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))))]]) ).
cnf(refute_0_1014,plain,
( antidomain(multiplication(X_435,one)) != antidomain(X_435)
| multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) != multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435)))
| multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) = multiplication(antidomain(X_435),antidomain(domain(X_435))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))),multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435)))) ),[1,0],$fot(antidomain(X_435))]]) ).
cnf(refute_0_1015,plain,
( antidomain(multiplication(X_435,one)) != antidomain(X_435)
| multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) = multiplication(antidomain(X_435),antidomain(domain(X_435))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))),multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435)))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) = multiplication(antidomain(X_435),antidomain(domain(X_435))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_435,one)),antidomain(X_435)) )],[refute_0_1012,refute_0_1015]) ).
cnf(refute_0_1017,plain,
( antidomain(domain(X_435)) != multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435)))
| multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))) != multiplication(antidomain(X_435),antidomain(domain(X_435)))
| antidomain(domain(X_435)) = multiplication(antidomain(X_435),antidomain(domain(X_435))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(domain(X_435)),multiplication(antidomain(X_435),antidomain(domain(X_435)))) ),[0],$fot(multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))))]]) ).
cnf(refute_0_1018,plain,
( antidomain(domain(X_435)) != multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435)))
| antidomain(domain(X_435)) = multiplication(antidomain(X_435),antidomain(domain(X_435))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435))),multiplication(antidomain(X_435),antidomain(domain(X_435)))) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
antidomain(domain(X_435)) = multiplication(antidomain(X_435),antidomain(domain(X_435))),
inference(resolve,[$cnf( $equal(antidomain(domain(X_435)),multiplication(antidomain(multiplication(X_435,one)),antidomain(domain(X_435)))) )],[refute_0_1007,refute_0_1018]) ).
cnf(refute_0_1020,plain,
antidomain(domain(X_437)) = multiplication(antidomain(X_437),antidomain(domain(X_437))),
inference(subst,[],[refute_0_1019:[bind(X_435,$fot(X_437))]]) ).
cnf(refute_0_1021,plain,
( antidomain(domain(X_437)) != multiplication(antidomain(X_437),antidomain(domain(X_437)))
| multiplication(antidomain(X_437),antidomain(domain(X_437))) = antidomain(domain(X_437)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(antidomain(domain(X_437)))),bind(Y,$fot(multiplication(antidomain(X_437),antidomain(domain(X_437)))))]]) ).
cnf(refute_0_1022,plain,
multiplication(antidomain(X_437),antidomain(domain(X_437))) = antidomain(domain(X_437)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_437)),multiplication(antidomain(X_437),antidomain(domain(X_437)))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) != addition(antidomain(X_437),multiplication(antidomain(X_437),antidomain(domain(X_437))))
| multiplication(antidomain(X_437),antidomain(domain(X_437))) != antidomain(domain(X_437))
| multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = addition(antidomain(X_437),antidomain(domain(X_437))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)),addition(antidomain(X_437),multiplication(antidomain(X_437),antidomain(domain(X_437))))) ),[1,1],$fot(antidomain(domain(X_437)))]]) ).
cnf(refute_0_1024,plain,
( multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) != addition(antidomain(X_437),multiplication(antidomain(X_437),antidomain(domain(X_437))))
| multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = addition(antidomain(X_437),antidomain(domain(X_437))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),antidomain(domain(X_437))),antidomain(domain(X_437))) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = addition(antidomain(X_437),antidomain(domain(X_437))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)),addition(antidomain(X_437),multiplication(antidomain(X_437),antidomain(domain(X_437))))) )],[refute_0_959,refute_0_1024]) ).
cnf(refute_0_1026,plain,
multiplication(antidomain(X_437),one) = antidomain(X_437),
inference(subst,[],[refute_0_178:[bind(A,$fot(antidomain(X_437)))]]) ).
cnf(refute_0_1027,plain,
addition(antidomain(X1),addition(one,domain(X1))) = addition(domain(X1),addition(one,addition(antidomain(X1),domain(X1)))),
inference(subst,[],[refute_0_352:[bind(X_69,$fot(antidomain(X1))),bind(X_70,$fot(domain(X1)))]]) ).
cnf(refute_0_1028,plain,
( addition(antidomain(X1),addition(one,domain(X1))) != addition(domain(X1),addition(one,addition(antidomain(X1),domain(X1))))
| addition(antidomain(X1),domain(X1)) != one
| addition(antidomain(X1),addition(one,domain(X1))) = addition(domain(X1),addition(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X1),addition(one,domain(X1))),addition(domain(X1),addition(one,addition(antidomain(X1),domain(X1))))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_0_1029,plain,
( addition(antidomain(X1),addition(one,domain(X1))) != addition(domain(X1),addition(one,addition(antidomain(X1),domain(X1))))
| addition(antidomain(X1),addition(one,domain(X1))) = addition(domain(X1),addition(one,one)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_107,refute_0_1028]) ).
cnf(refute_0_1030,plain,
addition(antidomain(X1),addition(one,domain(X1))) = addition(domain(X1),addition(one,one)),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(one,domain(X1))),addition(domain(X1),addition(one,addition(antidomain(X1),domain(X1))))) )],[refute_0_1027,refute_0_1029]) ).
cnf(refute_0_1031,plain,
addition(one,addition(domain(X1),antidomain(X1))) = addition(one,antidomain(X1)),
inference(subst,[],[refute_0_360:[bind(X0,$fot(X1)),bind(X_71,$fot(antidomain(X1)))]]) ).
cnf(refute_0_1032,plain,
addition(X_78,addition(one,X_79)) = addition(X_79,addition(one,addition(X_78,X_79))),
inference(subst,[],[refute_0_352:[bind(X_69,$fot(X_78)),bind(X_70,$fot(X_79))]]) ).
cnf(refute_0_1033,plain,
addition(addition(one,X_79),X_78) = addition(X_78,addition(one,X_79)),
inference(subst,[],[refute_0_6:[bind(A,$fot(addition(one,X_79))),bind(B,$fot(X_78))]]) ).
cnf(refute_0_1034,plain,
( addition(addition(one,X_79),X_78) != addition(X_78,addition(one,X_79))
| addition(X_78,addition(one,X_79)) = addition(addition(one,X_79),X_78) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(addition(one,X_79),X_78))),bind(Y,$fot(addition(X_78,addition(one,X_79))))]]) ).
cnf(refute_0_1035,plain,
addition(X_78,addition(one,X_79)) = addition(addition(one,X_79),X_78),
inference(resolve,[$cnf( $equal(addition(addition(one,X_79),X_78),addition(X_78,addition(one,X_79))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( addition(X_78,addition(one,X_79)) != addition(X_79,addition(one,addition(X_78,X_79)))
| addition(X_78,addition(one,X_79)) != addition(addition(one,X_79),X_78)
| addition(addition(one,X_79),X_78) = addition(X_79,addition(one,addition(X_78,X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_78,addition(one,X_79)),addition(X_79,addition(one,addition(X_78,X_79)))) ),[0],$fot(addition(addition(one,X_79),X_78))]]) ).
cnf(refute_0_1037,plain,
( addition(X_78,addition(one,X_79)) != addition(X_79,addition(one,addition(X_78,X_79)))
| addition(addition(one,X_79),X_78) = addition(X_79,addition(one,addition(X_78,X_79))) ),
inference(resolve,[$cnf( $equal(addition(X_78,addition(one,X_79)),addition(addition(one,X_79),X_78)) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
addition(addition(one,X_79),X_78) = addition(X_79,addition(one,addition(X_78,X_79))),
inference(resolve,[$cnf( $equal(addition(X_78,addition(one,X_79)),addition(X_79,addition(one,addition(X_78,X_79)))) )],[refute_0_1032,refute_0_1037]) ).
cnf(refute_0_1039,plain,
addition(addition(one,X_79),X_78) = addition(one,addition(X_79,X_78)),
inference(subst,[],[refute_0_126:[bind(A,$fot(one)),bind(B,$fot(X_79)),bind(C,$fot(X_78))]]) ).
cnf(refute_0_1040,plain,
( addition(addition(one,X_79),X_78) != addition(X_79,addition(one,addition(X_78,X_79)))
| addition(addition(one,X_79),X_78) != addition(one,addition(X_79,X_78))
| addition(one,addition(X_79,X_78)) = addition(X_79,addition(one,addition(X_78,X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_79),X_78),addition(X_79,addition(one,addition(X_78,X_79)))) ),[0],$fot(addition(one,addition(X_79,X_78)))]]) ).
cnf(refute_0_1041,plain,
( addition(addition(one,X_79),X_78) != addition(X_79,addition(one,addition(X_78,X_79)))
| addition(one,addition(X_79,X_78)) = addition(X_79,addition(one,addition(X_78,X_79))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_79),X_78),addition(one,addition(X_79,X_78))) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( addition(X_69,addition(one,X_70)) != addition(X_70,addition(one,addition(X_69,X_70)))
| addition(X_70,addition(one,addition(X_69,X_70))) = addition(X_69,addition(one,X_70)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_69,addition(one,X_70)))),bind(Y,$fot(addition(X_70,addition(one,addition(X_69,X_70)))))]]) ).
cnf(refute_0_1043,plain,
addition(X_70,addition(one,addition(X_69,X_70))) = addition(X_69,addition(one,X_70)),
inference(resolve,[$cnf( $equal(addition(X_69,addition(one,X_70)),addition(X_70,addition(one,addition(X_69,X_70)))) )],[refute_0_352,refute_0_1042]) ).
cnf(refute_0_1044,plain,
addition(X_79,addition(one,addition(X_78,X_79))) = addition(X_78,addition(one,X_79)),
inference(subst,[],[refute_0_1043:[bind(X_69,$fot(X_78)),bind(X_70,$fot(X_79))]]) ).
cnf(refute_0_1045,plain,
( addition(X_79,addition(one,addition(X_78,X_79))) != addition(X_78,addition(one,X_79))
| addition(one,addition(X_79,X_78)) != addition(X_79,addition(one,addition(X_78,X_79)))
| addition(one,addition(X_79,X_78)) = addition(X_78,addition(one,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_79,X_78)),addition(X_79,addition(one,addition(X_78,X_79)))) ),[1],$fot(addition(X_78,addition(one,X_79)))]]) ).
cnf(refute_0_1046,plain,
( addition(one,addition(X_79,X_78)) != addition(X_79,addition(one,addition(X_78,X_79)))
| addition(one,addition(X_79,X_78)) = addition(X_78,addition(one,X_79)) ),
inference(resolve,[$cnf( $equal(addition(X_79,addition(one,addition(X_78,X_79))),addition(X_78,addition(one,X_79))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
( addition(addition(one,X_79),X_78) != addition(X_79,addition(one,addition(X_78,X_79)))
| addition(one,addition(X_79,X_78)) = addition(X_78,addition(one,X_79)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_79,X_78)),addition(X_79,addition(one,addition(X_78,X_79)))) )],[refute_0_1041,refute_0_1046]) ).
cnf(refute_0_1048,plain,
addition(one,addition(X_79,X_78)) = addition(X_78,addition(one,X_79)),
inference(resolve,[$cnf( $equal(addition(addition(one,X_79),X_78),addition(X_79,addition(one,addition(X_78,X_79)))) )],[refute_0_1038,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( addition(one,addition(X_79,X_78)) != addition(X_78,addition(one,X_79))
| addition(X_78,addition(one,X_79)) = addition(one,addition(X_79,X_78)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(one,addition(X_79,X_78)))),bind(Y,$fot(addition(X_78,addition(one,X_79))))]]) ).
cnf(refute_0_1050,plain,
addition(X_78,addition(one,X_79)) = addition(one,addition(X_79,X_78)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_79,X_78)),addition(X_78,addition(one,X_79))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
addition(antidomain(X1),addition(one,domain(X1))) = addition(one,addition(domain(X1),antidomain(X1))),
inference(subst,[],[refute_0_1050:[bind(X_78,$fot(antidomain(X1))),bind(X_79,$fot(domain(X1)))]]) ).
cnf(refute_0_1052,plain,
( addition(antidomain(X1),addition(one,domain(X1))) != addition(one,addition(domain(X1),antidomain(X1)))
| addition(one,addition(domain(X1),antidomain(X1))) != addition(one,antidomain(X1))
| addition(antidomain(X1),addition(one,domain(X1))) = addition(one,antidomain(X1)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(antidomain(X1),addition(one,domain(X1))))),bind(Y,$fot(addition(one,addition(domain(X1),antidomain(X1))))),bind(Z,$fot(addition(one,antidomain(X1))))]]) ).
cnf(refute_0_1053,plain,
( addition(one,addition(domain(X1),antidomain(X1))) != addition(one,antidomain(X1))
| addition(antidomain(X1),addition(one,domain(X1))) = addition(one,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(one,domain(X1))),addition(one,addition(domain(X1),antidomain(X1)))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
addition(antidomain(X1),addition(one,domain(X1))) = addition(one,antidomain(X1)),
inference(resolve,[$cnf( $equal(addition(one,addition(domain(X1),antidomain(X1))),addition(one,antidomain(X1))) )],[refute_0_1031,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( addition(antidomain(X1),addition(one,domain(X1))) != addition(domain(X1),addition(one,one))
| addition(antidomain(X1),addition(one,domain(X1))) != addition(one,antidomain(X1))
| addition(one,antidomain(X1)) = addition(domain(X1),addition(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X1),addition(one,domain(X1))),addition(domain(X1),addition(one,one))) ),[0],$fot(addition(one,antidomain(X1)))]]) ).
cnf(refute_0_1056,plain,
( addition(antidomain(X1),addition(one,domain(X1))) != addition(domain(X1),addition(one,one))
| addition(one,antidomain(X1)) = addition(domain(X1),addition(one,one)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(one,domain(X1))),addition(one,antidomain(X1))) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
addition(one,addition(one,domain(X1))) = addition(one,one),
inference(subst,[],[refute_0_553:[bind(X0,$fot(X1)),bind(X_78,$fot(one))]]) ).
cnf(refute_0_1058,plain,
( addition(one,addition(one,domain(X1))) != addition(one,one)
| addition(one,one) != one
| addition(one,addition(one,domain(X1))) = one ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(one,addition(one,domain(X1))))),bind(Y,$fot(addition(one,one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1059,plain,
( addition(one,one) != one
| addition(one,addition(one,domain(X1))) = one ),
inference(resolve,[$cnf( $equal(addition(one,addition(one,domain(X1))),addition(one,one)) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
addition(one,addition(one,domain(X1))) = one,
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_240,refute_0_1059]) ).
cnf(refute_0_1061,plain,
addition(domain(X1),addition(one,one)) = addition(one,addition(one,domain(X1))),
inference(subst,[],[refute_0_1050:[bind(X_78,$fot(domain(X1))),bind(X_79,$fot(one))]]) ).
cnf(refute_0_1062,plain,
( addition(domain(X1),addition(one,one)) != addition(one,addition(one,domain(X1)))
| addition(one,addition(one,domain(X1))) != one
| addition(domain(X1),addition(one,one)) = one ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(domain(X1),addition(one,one)))),bind(Y,$fot(addition(one,addition(one,domain(X1))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1063,plain,
( addition(one,addition(one,domain(X1))) != one
| addition(domain(X1),addition(one,one)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X1),addition(one,one)),addition(one,addition(one,domain(X1)))) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
addition(domain(X1),addition(one,one)) = one,
inference(resolve,[$cnf( $equal(addition(one,addition(one,domain(X1))),one) )],[refute_0_1060,refute_0_1063]) ).
cnf(refute_0_1065,plain,
( addition(domain(X1),addition(one,one)) != one
| addition(one,antidomain(X1)) != addition(domain(X1),addition(one,one))
| addition(one,antidomain(X1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(X1)),addition(domain(X1),addition(one,one))) ),[1],$fot(one)]]) ).
cnf(refute_0_1066,plain,
( addition(one,antidomain(X1)) != addition(domain(X1),addition(one,one))
| addition(one,antidomain(X1)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X1),addition(one,one)),one) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( addition(antidomain(X1),addition(one,domain(X1))) != addition(domain(X1),addition(one,one))
| addition(one,antidomain(X1)) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X1)),addition(domain(X1),addition(one,one))) )],[refute_0_1056,refute_0_1066]) ).
cnf(refute_0_1068,plain,
addition(one,antidomain(X1)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X1),addition(one,domain(X1))),addition(domain(X1),addition(one,one))) )],[refute_0_1030,refute_0_1067]) ).
cnf(refute_0_1069,plain,
addition(one,antidomain(domain(X_437))) = one,
inference(subst,[],[refute_0_1068:[bind(X1,$fot(domain(X_437)))]]) ).
cnf(refute_0_1070,plain,
multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) = multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))))]]) ).
cnf(refute_0_1071,plain,
( addition(one,antidomain(domain(X_437))) != one
| multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) != multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437))))
| multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) = multiplication(antidomain(X_437),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))),multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1072,plain,
( addition(one,antidomain(domain(X_437))) != one
| multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) = multiplication(antidomain(X_437),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))),multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437))))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) = multiplication(antidomain(X_437),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(domain(X_437))),one) )],[refute_0_1069,refute_0_1072]) ).
cnf(refute_0_1074,plain,
( multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) != multiplication(antidomain(X_437),one)
| multiplication(antidomain(X_437),one) != antidomain(X_437)
| multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) = antidomain(X_437) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))))),bind(Y,$fot(multiplication(antidomain(X_437),one))),bind(Z,$fot(antidomain(X_437)))]]) ).
cnf(refute_0_1075,plain,
( multiplication(antidomain(X_437),one) != antidomain(X_437)
| multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) = antidomain(X_437) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))),multiplication(antidomain(X_437),one)) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) = antidomain(X_437),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),one),antidomain(X_437)) )],[refute_0_1026,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( ~ leq(X_344,multiplication(X_344,addition(X_345,one)))
| addition(X_344,multiplication(X_344,addition(X_345,one))) = multiplication(X_344,addition(X_345,one)) ),
inference(subst,[],[refute_0_759:[bind(A,$fot(X_344)),bind(B,$fot(multiplication(X_344,addition(X_345,one))))]]) ).
cnf(refute_0_1078,plain,
( addition(A,addition(X_302,A)) != addition(X_302,A)
| leq(A,addition(X_302,A)) ),
inference(subst,[],[refute_0_734:[bind(B,$fot(addition(X_302,A)))]]) ).
cnf(refute_0_1079,plain,
addition(X_302,A) = addition(A,addition(X_302,A)),
inference(subst,[],[refute_0_165:[bind(X_70,$fot(X_302)),bind(X_71,$fot(A))]]) ).
cnf(refute_0_1080,plain,
( addition(X_302,A) != addition(A,addition(X_302,A))
| addition(A,addition(X_302,A)) = addition(X_302,A) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_302,A))),bind(Y,$fot(addition(A,addition(X_302,A))))]]) ).
cnf(refute_0_1081,plain,
addition(A,addition(X_302,A)) = addition(X_302,A),
inference(resolve,[$cnf( $equal(addition(X_302,A),addition(A,addition(X_302,A))) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
( addition(A,addition(X_302,A)) != addition(X_302,A)
| addition(X_302,A) != addition(X_302,A)
| addition(A,addition(X_302,A)) = addition(X_302,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_302,A)),addition(X_302,A)) ),[0],$fot(addition(X_302,A))]]) ).
cnf(refute_0_1083,plain,
( addition(X_302,A) != addition(X_302,A)
| addition(A,addition(X_302,A)) = addition(X_302,A) ),
inference(resolve,[$cnf( $equal(addition(A,addition(X_302,A)),addition(X_302,A)) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( addition(X_302,A) != addition(X_302,A)
| leq(A,addition(X_302,A)) ),
inference(resolve,[$cnf( $equal(addition(A,addition(X_302,A)),addition(X_302,A)) )],[refute_0_1083,refute_0_1078]) ).
cnf(refute_0_1085,plain,
addition(X_302,A) = addition(X_302,A),
introduced(tautology,[refl,[$fot(addition(X_302,A))]]) ).
cnf(refute_0_1086,plain,
leq(A,addition(X_302,A)),
inference(resolve,[$cnf( $equal(addition(X_302,A),addition(X_302,A)) )],[refute_0_1085,refute_0_1084]) ).
cnf(refute_0_1087,plain,
leq(X_304,addition(X_305,X_304)),
inference(subst,[],[refute_0_1086:[bind(A,$fot(X_304)),bind(X_302,$fot(X_305))]]) ).
cnf(refute_0_1088,plain,
addition(X_304,X_305) = addition(X_305,X_304),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_304)),bind(B,$fot(X_305))]]) ).
cnf(refute_0_1089,plain,
( addition(X_304,X_305) != addition(X_305,X_304)
| addition(X_305,X_304) = addition(X_304,X_305) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_304,X_305))),bind(Y,$fot(addition(X_305,X_304)))]]) ).
cnf(refute_0_1090,plain,
addition(X_305,X_304) = addition(X_304,X_305),
inference(resolve,[$cnf( $equal(addition(X_304,X_305),addition(X_305,X_304)) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( addition(X_305,X_304) != addition(X_304,X_305)
| ~ leq(X_304,addition(X_305,X_304))
| leq(X_304,addition(X_304,X_305)) ),
introduced(tautology,[equality,[$cnf( leq(X_304,addition(X_305,X_304)) ),[1],$fot(addition(X_304,X_305))]]) ).
cnf(refute_0_1092,plain,
( ~ leq(X_304,addition(X_305,X_304))
| leq(X_304,addition(X_304,X_305)) ),
inference(resolve,[$cnf( $equal(addition(X_305,X_304),addition(X_304,X_305)) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
leq(X_304,addition(X_304,X_305)),
inference(resolve,[$cnf( leq(X_304,addition(X_305,X_304)) )],[refute_0_1087,refute_0_1092]) ).
cnf(refute_0_1094,plain,
leq(X_342,addition(X_342,multiplication(X_342,X_96))),
inference(subst,[],[refute_0_1093:[bind(X_304,$fot(X_342)),bind(X_305,$fot(multiplication(X_342,X_96)))]]) ).
cnf(refute_0_1095,plain,
multiplication(X_342,addition(X_96,one)) = addition(X_342,multiplication(X_342,X_96)),
inference(subst,[],[refute_0_718:[bind(X_95,$fot(X_342))]]) ).
cnf(refute_0_1096,plain,
( multiplication(X_342,addition(X_96,one)) != addition(X_342,multiplication(X_342,X_96))
| addition(X_342,multiplication(X_342,X_96)) = multiplication(X_342,addition(X_96,one)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(X_342,addition(X_96,one)))),bind(Y,$fot(addition(X_342,multiplication(X_342,X_96))))]]) ).
cnf(refute_0_1097,plain,
addition(X_342,multiplication(X_342,X_96)) = multiplication(X_342,addition(X_96,one)),
inference(resolve,[$cnf( $equal(multiplication(X_342,addition(X_96,one)),addition(X_342,multiplication(X_342,X_96))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
( addition(X_342,multiplication(X_342,X_96)) != multiplication(X_342,addition(X_96,one))
| ~ leq(X_342,addition(X_342,multiplication(X_342,X_96)))
| leq(X_342,multiplication(X_342,addition(X_96,one))) ),
introduced(tautology,[equality,[$cnf( leq(X_342,addition(X_342,multiplication(X_342,X_96))) ),[1],$fot(multiplication(X_342,addition(X_96,one)))]]) ).
cnf(refute_0_1099,plain,
( ~ leq(X_342,addition(X_342,multiplication(X_342,X_96)))
| leq(X_342,multiplication(X_342,addition(X_96,one))) ),
inference(resolve,[$cnf( $equal(addition(X_342,multiplication(X_342,X_96)),multiplication(X_342,addition(X_96,one))) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
leq(X_342,multiplication(X_342,addition(X_96,one))),
inference(resolve,[$cnf( leq(X_342,addition(X_342,multiplication(X_342,X_96))) )],[refute_0_1094,refute_0_1099]) ).
cnf(refute_0_1101,plain,
leq(X_344,multiplication(X_344,addition(X_345,one))),
inference(subst,[],[refute_0_1100:[bind(X_342,$fot(X_344)),bind(X_96,$fot(X_345))]]) ).
cnf(refute_0_1102,plain,
addition(X_344,multiplication(X_344,addition(X_345,one))) = multiplication(X_344,addition(X_345,one)),
inference(resolve,[$cnf( leq(X_344,multiplication(X_344,addition(X_345,one))) )],[refute_0_1101,refute_0_1077]) ).
cnf(refute_0_1103,plain,
addition(X_344,multiplication(X_344,addition(X_345,one))) = multiplication(X_344,addition(one,X_345)),
inference(subst,[],[refute_0_844:[bind(X_113,$fot(X_345)),bind(X_92,$fot(X_344))]]) ).
cnf(refute_0_1104,plain,
( addition(X_344,multiplication(X_344,addition(X_345,one))) != multiplication(X_344,addition(X_345,one))
| addition(X_344,multiplication(X_344,addition(X_345,one))) != multiplication(X_344,addition(one,X_345))
| multiplication(X_344,addition(one,X_345)) = multiplication(X_344,addition(X_345,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_344,multiplication(X_344,addition(X_345,one))),multiplication(X_344,addition(X_345,one))) ),[0],$fot(multiplication(X_344,addition(one,X_345)))]]) ).
cnf(refute_0_1105,plain,
( addition(X_344,multiplication(X_344,addition(X_345,one))) != multiplication(X_344,addition(X_345,one))
| multiplication(X_344,addition(one,X_345)) = multiplication(X_344,addition(X_345,one)) ),
inference(resolve,[$cnf( $equal(addition(X_344,multiplication(X_344,addition(X_345,one))),multiplication(X_344,addition(one,X_345))) )],[refute_0_1103,refute_0_1104]) ).
cnf(refute_0_1106,plain,
multiplication(X_344,addition(one,X_345)) = multiplication(X_344,addition(X_345,one)),
inference(resolve,[$cnf( $equal(addition(X_344,multiplication(X_344,addition(X_345,one))),multiplication(X_344,addition(X_345,one))) )],[refute_0_1102,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( multiplication(X_344,addition(one,X_345)) != multiplication(X_344,addition(X_345,one))
| multiplication(X_344,addition(X_345,one)) = multiplication(X_344,addition(one,X_345)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiplication(X_344,addition(one,X_345)))),bind(Y,$fot(multiplication(X_344,addition(X_345,one))))]]) ).
cnf(refute_0_1108,plain,
multiplication(X_344,addition(X_345,one)) = multiplication(X_344,addition(one,X_345)),
inference(resolve,[$cnf( $equal(multiplication(X_344,addition(one,X_345)),multiplication(X_344,addition(X_345,one))) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))),
inference(subst,[],[refute_0_1108:[bind(X_344,$fot(antidomain(X_437))),bind(X_345,$fot(antidomain(domain(X_437))))]]) ).
cnf(refute_0_1110,plain,
( multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) != multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437))))
| multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) != antidomain(X_437)
| multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = antidomain(X_437) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)))),bind(Y,$fot(multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))))),bind(Z,$fot(antidomain(X_437)))]]) ).
cnf(refute_0_1111,plain,
( multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))) != antidomain(X_437)
| multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = antidomain(X_437) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)),multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437))))) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) = antidomain(X_437),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),addition(one,antidomain(domain(X_437)))),antidomain(X_437)) )],[refute_0_1076,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) != addition(antidomain(X_437),antidomain(domain(X_437)))
| multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) != antidomain(X_437)
| antidomain(X_437) = addition(antidomain(X_437),antidomain(domain(X_437))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)),addition(antidomain(X_437),antidomain(domain(X_437)))) ),[0],$fot(antidomain(X_437))]]) ).
cnf(refute_0_1114,plain,
( multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) != addition(antidomain(X_437),antidomain(domain(X_437)))
| antidomain(X_437) = addition(antidomain(X_437),antidomain(domain(X_437))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)),antidomain(X_437)) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = addition(antidomain(domain(X_382)),multiplication(antidomain(domain(X_382)),antidomain(X_382))),
inference(subst,[],[refute_0_718:[bind(X_95,$fot(antidomain(domain(X_382)))),bind(X_96,$fot(antidomain(X_382)))]]) ).
cnf(refute_0_1116,plain,
multiplication(addition(domain(X1),X_106),antidomain(X1)) = addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_106,antidomain(X1))),
inference(subst,[],[refute_0_71:[bind(A,$fot(domain(X1))),bind(B,$fot(X_106)),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_1117,plain,
( multiplication(addition(domain(X1),X_106),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_106,antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(addition(domain(X1),X_106),antidomain(X1)) = addition(zero,multiplication(X_106,antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_106),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_106,antidomain(X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1118,plain,
( multiplication(addition(domain(X1),X_106),antidomain(X1)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_106,antidomain(X1)))
| multiplication(addition(domain(X1),X_106),antidomain(X1)) = addition(zero,multiplication(X_106,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_961,refute_0_1117]) ).
cnf(refute_0_1119,plain,
multiplication(addition(domain(X1),X_106),antidomain(X1)) = addition(zero,multiplication(X_106,antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_106),antidomain(X1)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(X_106,antidomain(X1)))) )],[refute_0_1116,refute_0_1118]) ).
cnf(refute_0_1120,plain,
addition(zero,multiplication(X_106,antidomain(X1))) = multiplication(X_106,antidomain(X1)),
inference(subst,[],[refute_0_32:[bind(A,$fot(multiplication(X_106,antidomain(X1))))]]) ).
cnf(refute_0_1121,plain,
( addition(zero,multiplication(X_106,antidomain(X1))) != multiplication(X_106,antidomain(X1))
| multiplication(addition(domain(X1),X_106),antidomain(X1)) != addition(zero,multiplication(X_106,antidomain(X1)))
| multiplication(addition(domain(X1),X_106),antidomain(X1)) = multiplication(X_106,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X1),X_106),antidomain(X1)),addition(zero,multiplication(X_106,antidomain(X1)))) ),[1],$fot(multiplication(X_106,antidomain(X1)))]]) ).
cnf(refute_0_1122,plain,
( multiplication(addition(domain(X1),X_106),antidomain(X1)) != addition(zero,multiplication(X_106,antidomain(X1)))
| multiplication(addition(domain(X1),X_106),antidomain(X1)) = multiplication(X_106,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_106,antidomain(X1))),multiplication(X_106,antidomain(X1))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
multiplication(addition(domain(X1),X_106),antidomain(X1)) = multiplication(X_106,antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X1),X_106),antidomain(X1)),addition(zero,multiplication(X_106,antidomain(X1)))) )],[refute_0_1119,refute_0_1122]) ).
cnf(refute_0_1124,plain,
multiplication(addition(domain(X_380),antidomain(domain(X_380))),antidomain(X_380)) = multiplication(antidomain(domain(X_380)),antidomain(X_380)),
inference(subst,[],[refute_0_1123:[bind(X1,$fot(X_380)),bind(X_106,$fot(antidomain(domain(X_380))))]]) ).
cnf(refute_0_1125,plain,
addition(antidomain(domain(X_31)),domain(domain(X_31))) = one,
inference(subst,[],[refute_0_107:[bind(X1,$fot(domain(X_31)))]]) ).
cnf(refute_0_1126,plain,
( addition(antidomain(domain(X_31)),domain(domain(X_31))) != one
| domain(domain(X_31)) != domain(X_31)
| addition(antidomain(domain(X_31)),domain(X_31)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(domain(X_31))),one) ),[0,1],$fot(domain(X_31))]]) ).
cnf(refute_0_1127,plain,
( addition(antidomain(domain(X_31)),domain(domain(X_31))) != one
| addition(antidomain(domain(X_31)),domain(X_31)) = one ),
inference(resolve,[$cnf( $equal(domain(domain(X_31)),domain(X_31)) )],[refute_0_601,refute_0_1126]) ).
cnf(refute_0_1128,plain,
addition(antidomain(domain(X_31)),domain(X_31)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(domain(X_31))),one) )],[refute_0_1125,refute_0_1127]) ).
cnf(refute_0_1129,plain,
addition(antidomain(domain(X_31)),domain(X_31)) = addition(domain(X_31),antidomain(domain(X_31))),
inference(subst,[],[refute_0_56:[bind(A,$fot(domain(X_31))),bind(B,$fot(antidomain(domain(X_31))))]]) ).
cnf(refute_0_1130,plain,
( addition(antidomain(domain(X_31)),domain(X_31)) != addition(domain(X_31),antidomain(domain(X_31)))
| addition(antidomain(domain(X_31)),domain(X_31)) != one
| addition(domain(X_31),antidomain(domain(X_31))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(X_31)),one) ),[0],$fot(addition(domain(X_31),antidomain(domain(X_31))))]]) ).
cnf(refute_0_1131,plain,
( addition(antidomain(domain(X_31)),domain(X_31)) != one
| addition(domain(X_31),antidomain(domain(X_31))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(X_31)),addition(domain(X_31),antidomain(domain(X_31)))) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
addition(domain(X_31),antidomain(domain(X_31))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(X_31)),one) )],[refute_0_1128,refute_0_1131]) ).
cnf(refute_0_1133,plain,
addition(domain(X_380),antidomain(domain(X_380))) = one,
inference(subst,[],[refute_0_1132:[bind(X_31,$fot(X_380))]]) ).
cnf(refute_0_1134,plain,
( addition(domain(X_380),antidomain(domain(X_380))) != one
| multiplication(addition(domain(X_380),antidomain(domain(X_380))),antidomain(X_380)) != multiplication(antidomain(domain(X_380)),antidomain(X_380))
| multiplication(one,antidomain(X_380)) = multiplication(antidomain(domain(X_380)),antidomain(X_380)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_380),antidomain(domain(X_380))),antidomain(X_380)),multiplication(antidomain(domain(X_380)),antidomain(X_380))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_1135,plain,
( multiplication(addition(domain(X_380),antidomain(domain(X_380))),antidomain(X_380)) != multiplication(antidomain(domain(X_380)),antidomain(X_380))
| multiplication(one,antidomain(X_380)) = multiplication(antidomain(domain(X_380)),antidomain(X_380)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_380),antidomain(domain(X_380))),one) )],[refute_0_1133,refute_0_1134]) ).
cnf(refute_0_1136,plain,
multiplication(one,antidomain(X_380)) = multiplication(antidomain(domain(X_380)),antidomain(X_380)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_380),antidomain(domain(X_380))),antidomain(X_380)),multiplication(antidomain(domain(X_380)),antidomain(X_380))) )],[refute_0_1124,refute_0_1135]) ).
cnf(refute_0_1137,plain,
multiplication(one,antidomain(X_380)) = antidomain(X_380),
inference(subst,[],[refute_0_52:[bind(A,$fot(antidomain(X_380)))]]) ).
cnf(refute_0_1138,plain,
( multiplication(one,antidomain(X_380)) != antidomain(X_380)
| multiplication(one,antidomain(X_380)) != multiplication(antidomain(domain(X_380)),antidomain(X_380))
| antidomain(X_380) = multiplication(antidomain(domain(X_380)),antidomain(X_380)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X_380)),multiplication(antidomain(domain(X_380)),antidomain(X_380))) ),[0],$fot(antidomain(X_380))]]) ).
cnf(refute_0_1139,plain,
( multiplication(one,antidomain(X_380)) != multiplication(antidomain(domain(X_380)),antidomain(X_380))
| antidomain(X_380) = multiplication(antidomain(domain(X_380)),antidomain(X_380)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_380)),antidomain(X_380)) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
antidomain(X_380) = multiplication(antidomain(domain(X_380)),antidomain(X_380)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_380)),multiplication(antidomain(domain(X_380)),antidomain(X_380))) )],[refute_0_1136,refute_0_1139]) ).
cnf(refute_0_1141,plain,
antidomain(X_382) = multiplication(antidomain(domain(X_382)),antidomain(X_382)),
inference(subst,[],[refute_0_1140:[bind(X_380,$fot(X_382))]]) ).
cnf(refute_0_1142,plain,
( antidomain(X_382) != multiplication(antidomain(domain(X_382)),antidomain(X_382))
| multiplication(antidomain(domain(X_382)),antidomain(X_382)) = antidomain(X_382) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(antidomain(X_382))),bind(Y,$fot(multiplication(antidomain(domain(X_382)),antidomain(X_382))))]]) ).
cnf(refute_0_1143,plain,
multiplication(antidomain(domain(X_382)),antidomain(X_382)) = antidomain(X_382),
inference(resolve,[$cnf( $equal(antidomain(X_382),multiplication(antidomain(domain(X_382)),antidomain(X_382))) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) != addition(antidomain(domain(X_382)),multiplication(antidomain(domain(X_382)),antidomain(X_382)))
| multiplication(antidomain(domain(X_382)),antidomain(X_382)) != antidomain(X_382)
| multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = addition(antidomain(domain(X_382)),antidomain(X_382)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)),addition(antidomain(domain(X_382)),multiplication(antidomain(domain(X_382)),antidomain(X_382)))) ),[1,1],$fot(antidomain(X_382))]]) ).
cnf(refute_0_1145,plain,
( multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) != addition(antidomain(domain(X_382)),multiplication(antidomain(domain(X_382)),antidomain(X_382)))
| multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = addition(antidomain(domain(X_382)),antidomain(X_382)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),antidomain(X_382)),antidomain(X_382)) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = addition(antidomain(domain(X_382)),antidomain(X_382)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)),addition(antidomain(domain(X_382)),multiplication(antidomain(domain(X_382)),antidomain(X_382)))) )],[refute_0_1115,refute_0_1145]) ).
cnf(refute_0_1147,plain,
multiplication(antidomain(domain(X_382)),one) = antidomain(domain(X_382)),
inference(subst,[],[refute_0_178:[bind(A,$fot(antidomain(domain(X_382))))]]) ).
cnf(refute_0_1148,plain,
addition(one,antidomain(X_382)) = one,
inference(subst,[],[refute_0_1068:[bind(X1,$fot(X_382))]]) ).
cnf(refute_0_1149,plain,
multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) = multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))))]]) ).
cnf(refute_0_1150,plain,
( addition(one,antidomain(X_382)) != one
| multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) != multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382)))
| multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) = multiplication(antidomain(domain(X_382)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))),multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1151,plain,
( addition(one,antidomain(X_382)) != one
| multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) = multiplication(antidomain(domain(X_382)),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))),multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382)))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) = multiplication(antidomain(domain(X_382)),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_382)),one) )],[refute_0_1148,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) != multiplication(antidomain(domain(X_382)),one)
| multiplication(antidomain(domain(X_382)),one) != antidomain(domain(X_382))
| multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) = antidomain(domain(X_382)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))))),bind(Y,$fot(multiplication(antidomain(domain(X_382)),one))),bind(Z,$fot(antidomain(domain(X_382))))]]) ).
cnf(refute_0_1154,plain,
( multiplication(antidomain(domain(X_382)),one) != antidomain(domain(X_382))
| multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) = antidomain(domain(X_382)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))),multiplication(antidomain(domain(X_382)),one)) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) = antidomain(domain(X_382)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),one),antidomain(domain(X_382))) )],[refute_0_1147,refute_0_1154]) ).
cnf(refute_0_1156,plain,
multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))),
inference(subst,[],[refute_0_1108:[bind(X_344,$fot(antidomain(domain(X_382)))),bind(X_345,$fot(antidomain(X_382)))]]) ).
cnf(refute_0_1157,plain,
( multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) != multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382)))
| multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) != antidomain(domain(X_382))
| multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = antidomain(domain(X_382)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)))),bind(Y,$fot(multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))))),bind(Z,$fot(antidomain(domain(X_382))))]]) ).
cnf(refute_0_1158,plain,
( multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))) != antidomain(domain(X_382))
| multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = antidomain(domain(X_382)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)),multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382)))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) = antidomain(domain(X_382)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(one,antidomain(X_382))),antidomain(domain(X_382))) )],[refute_0_1155,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) != addition(antidomain(domain(X_382)),antidomain(X_382))
| multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) != antidomain(domain(X_382))
| antidomain(domain(X_382)) = addition(antidomain(domain(X_382)),antidomain(X_382)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)),addition(antidomain(domain(X_382)),antidomain(X_382))) ),[0],$fot(antidomain(domain(X_382)))]]) ).
cnf(refute_0_1161,plain,
( multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) != addition(antidomain(domain(X_382)),antidomain(X_382))
| antidomain(domain(X_382)) = addition(antidomain(domain(X_382)),antidomain(X_382)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)),antidomain(domain(X_382))) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
addition(antidomain(domain(X_382)),antidomain(X_382)) = addition(antidomain(X_382),antidomain(domain(X_382))),
inference(subst,[],[refute_0_56:[bind(A,$fot(antidomain(X_382))),bind(B,$fot(antidomain(domain(X_382))))]]) ).
cnf(refute_0_1163,plain,
( addition(antidomain(domain(X_382)),antidomain(X_382)) != addition(antidomain(X_382),antidomain(domain(X_382)))
| antidomain(domain(X_382)) != addition(antidomain(domain(X_382)),antidomain(X_382))
| antidomain(domain(X_382)) = addition(antidomain(X_382),antidomain(domain(X_382))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X_382)),addition(antidomain(domain(X_382)),antidomain(X_382))) ),[1],$fot(addition(antidomain(X_382),antidomain(domain(X_382))))]]) ).
cnf(refute_0_1164,plain,
( antidomain(domain(X_382)) != addition(antidomain(domain(X_382)),antidomain(X_382))
| antidomain(domain(X_382)) = addition(antidomain(X_382),antidomain(domain(X_382))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_382)),antidomain(X_382)),addition(antidomain(X_382),antidomain(domain(X_382)))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
( multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)) != addition(antidomain(domain(X_382)),antidomain(X_382))
| antidomain(domain(X_382)) = addition(antidomain(X_382),antidomain(domain(X_382))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_382)),addition(antidomain(domain(X_382)),antidomain(X_382))) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
antidomain(domain(X_382)) = addition(antidomain(X_382),antidomain(domain(X_382))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_382)),addition(antidomain(X_382),one)),addition(antidomain(domain(X_382)),antidomain(X_382))) )],[refute_0_1146,refute_0_1165]) ).
cnf(refute_0_1167,plain,
( antidomain(domain(X_382)) != addition(antidomain(X_382),antidomain(domain(X_382)))
| addition(antidomain(X_382),antidomain(domain(X_382))) = antidomain(domain(X_382)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(antidomain(domain(X_382)))),bind(Y,$fot(addition(antidomain(X_382),antidomain(domain(X_382)))))]]) ).
cnf(refute_0_1168,plain,
addition(antidomain(X_382),antidomain(domain(X_382))) = antidomain(domain(X_382)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_382)),addition(antidomain(X_382),antidomain(domain(X_382)))) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
addition(antidomain(X_437),antidomain(domain(X_437))) = antidomain(domain(X_437)),
inference(subst,[],[refute_0_1168:[bind(X_382,$fot(X_437))]]) ).
cnf(refute_0_1170,plain,
( addition(antidomain(X_437),antidomain(domain(X_437))) != antidomain(domain(X_437))
| antidomain(X_437) != addition(antidomain(X_437),antidomain(domain(X_437)))
| antidomain(X_437) = antidomain(domain(X_437)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X_437),addition(antidomain(X_437),antidomain(domain(X_437)))) ),[1],$fot(antidomain(domain(X_437)))]]) ).
cnf(refute_0_1171,plain,
( antidomain(X_437) != addition(antidomain(X_437),antidomain(domain(X_437)))
| antidomain(X_437) = antidomain(domain(X_437)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_437),antidomain(domain(X_437))),antidomain(domain(X_437))) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
( multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)) != addition(antidomain(X_437),antidomain(domain(X_437)))
| antidomain(X_437) = antidomain(domain(X_437)) ),
inference(resolve,[$cnf( $equal(antidomain(X_437),addition(antidomain(X_437),antidomain(domain(X_437)))) )],[refute_0_1114,refute_0_1171]) ).
cnf(refute_0_1173,plain,
antidomain(X_437) = antidomain(domain(X_437)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_437),addition(antidomain(domain(X_437)),one)),addition(antidomain(X_437),antidomain(domain(X_437)))) )],[refute_0_1025,refute_0_1172]) ).
cnf(refute_0_1174,plain,
antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = antidomain(domain(multiplication(domain(X_461),antidomain(antidomain(X_461))))),
inference(subst,[],[refute_0_1173:[bind(X_437,$fot(multiplication(domain(X_461),antidomain(antidomain(X_461)))))]]) ).
cnf(refute_0_1175,plain,
domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,domain(addition(X_50,antidomain(X_50))))),
inference(subst,[],[refute_0_585:[bind(X1,$fot(addition(X_50,antidomain(X_50))))]]) ).
cnf(refute_0_1176,plain,
addition(antidomain(addition(X_20,X_21)),domain(addition(X_20,X_21))) = one,
inference(subst,[],[refute_0_107:[bind(X1,$fot(addition(X_20,X_21)))]]) ).
cnf(refute_0_1177,plain,
( addition(antidomain(addition(X_20,X_21)),domain(addition(X_20,X_21))) != one
| domain(addition(X_20,X_21)) != domain(addition(X_21,X_20))
| addition(antidomain(addition(X_20,X_21)),domain(addition(X_21,X_20))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(X_20,X_21)),domain(addition(X_20,X_21))),one) ),[0,1],$fot(domain(addition(X_21,X_20)))]]) ).
cnf(refute_0_1178,plain,
( addition(antidomain(addition(X_20,X_21)),domain(addition(X_20,X_21))) != one
| addition(antidomain(addition(X_20,X_21)),domain(addition(X_21,X_20))) = one ),
inference(resolve,[$cnf( $equal(domain(addition(X_20,X_21)),domain(addition(X_21,X_20))) )],[refute_0_20,refute_0_1177]) ).
cnf(refute_0_1179,plain,
addition(antidomain(addition(X_20,X_21)),domain(addition(X_21,X_20))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_20,X_21)),domain(addition(X_20,X_21))),one) )],[refute_0_1176,refute_0_1178]) ).
cnf(refute_0_1180,plain,
addition(antidomain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))) = one,
inference(subst,[],[refute_0_1179:[bind(X_20,$fot(antidomain(X1))),bind(X_21,$fot(domain(X1)))]]) ).
cnf(refute_0_1181,plain,
( addition(antidomain(X1),domain(X1)) != one
| addition(antidomain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))) != one
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))),one) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_1182,plain,
( addition(antidomain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))) != one
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_107,refute_0_1181]) ).
cnf(refute_0_1183,plain,
addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(addition(antidomain(X1),domain(X1))),domain(addition(domain(X1),antidomain(X1)))),one) )],[refute_0_1180,refute_0_1182]) ).
cnf(refute_0_1184,plain,
addition(zero,domain(addition(X1,antidomain(X1)))) = domain(addition(X1,antidomain(X1))),
inference(subst,[],[refute_0_32:[bind(A,$fot(domain(addition(X1,antidomain(X1)))))]]) ).
cnf(refute_0_1185,plain,
domain(addition(domain(X1),antidomain(X1))) = domain(addition(X1,antidomain(X1))),
inference(subst,[],[refute_0_608:[bind(X1,$fot(antidomain(X1))),bind(X_31,$fot(X1))]]) ).
cnf(refute_0_1186,plain,
addition(zero,domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(domain(X1),antidomain(X1)))),
introduced(tautology,[refl,[$fot(addition(zero,domain(addition(domain(X1),antidomain(X1)))))]]) ).
cnf(refute_0_1187,plain,
( addition(zero,domain(addition(domain(X1),antidomain(X1)))) != addition(zero,domain(addition(domain(X1),antidomain(X1))))
| domain(addition(domain(X1),antidomain(X1))) != domain(addition(X1,antidomain(X1)))
| addition(zero,domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(X1,antidomain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,domain(addition(domain(X1),antidomain(X1)))),addition(zero,domain(addition(domain(X1),antidomain(X1))))) ),[1,1],$fot(domain(addition(X1,antidomain(X1))))]]) ).
cnf(refute_0_1188,plain,
( domain(addition(domain(X1),antidomain(X1))) != domain(addition(X1,antidomain(X1)))
| addition(zero,domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(X1,antidomain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(zero,domain(addition(domain(X1),antidomain(X1)))),addition(zero,domain(addition(domain(X1),antidomain(X1))))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
addition(zero,domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(X1,antidomain(X1)))),
inference(resolve,[$cnf( $equal(domain(addition(domain(X1),antidomain(X1))),domain(addition(X1,antidomain(X1)))) )],[refute_0_1185,refute_0_1188]) ).
cnf(refute_0_1190,plain,
multiplication(domain(one),antidomain(one)) = zero,
inference(subst,[],[refute_0_961:[bind(X1,$fot(one))]]) ).
cnf(refute_0_1191,plain,
( domain(one) != one
| multiplication(domain(one),antidomain(one)) != zero
| multiplication(one,antidomain(one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(one),antidomain(one)),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_1192,plain,
( multiplication(domain(one),antidomain(one)) != zero
| multiplication(one,antidomain(one)) = zero ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_191,refute_0_1191]) ).
cnf(refute_0_1193,plain,
multiplication(one,antidomain(one)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(one)),zero) )],[refute_0_1190,refute_0_1192]) ).
cnf(refute_0_1194,plain,
multiplication(one,antidomain(one)) = antidomain(one),
inference(subst,[],[refute_0_52:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_1195,plain,
( multiplication(one,antidomain(one)) != antidomain(one)
| multiplication(one,antidomain(one)) != zero
| antidomain(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(one)),zero) ),[0],$fot(antidomain(one))]]) ).
cnf(refute_0_1196,plain,
( multiplication(one,antidomain(one)) != zero
| antidomain(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(one)),antidomain(one)) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(one)),zero) )],[refute_0_1193,refute_0_1196]) ).
cnf(refute_0_1198,plain,
addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),
introduced(tautology,[refl,[$fot(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))))]]) ).
cnf(refute_0_1199,plain,
( addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) != addition(antidomain(one),domain(addition(domain(X1),antidomain(X1))))
| antidomain(one) != zero
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(domain(X1),antidomain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),addition(antidomain(one),domain(addition(domain(X1),antidomain(X1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1200,plain,
( antidomain(one) != zero
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(domain(X1),antidomain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),addition(antidomain(one),domain(addition(domain(X1),antidomain(X1))))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(domain(X1),antidomain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_1197,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) != addition(zero,domain(addition(domain(X1),antidomain(X1))))
| addition(zero,domain(addition(domain(X1),antidomain(X1)))) != addition(zero,domain(addition(X1,antidomain(X1))))
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(X1,antidomain(X1)))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))))),bind(Y,$fot(addition(zero,domain(addition(domain(X1),antidomain(X1)))))),bind(Z,$fot(addition(zero,domain(addition(X1,antidomain(X1))))))]]) ).
cnf(refute_0_1203,plain,
( addition(zero,domain(addition(domain(X1),antidomain(X1)))) != addition(zero,domain(addition(X1,antidomain(X1))))
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(X1,antidomain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),addition(zero,domain(addition(domain(X1),antidomain(X1))))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = addition(zero,domain(addition(X1,antidomain(X1)))),
inference(resolve,[$cnf( $equal(addition(zero,domain(addition(domain(X1),antidomain(X1)))),addition(zero,domain(addition(X1,antidomain(X1))))) )],[refute_0_1189,refute_0_1203]) ).
cnf(refute_0_1205,plain,
( addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) != addition(zero,domain(addition(X1,antidomain(X1))))
| addition(zero,domain(addition(X1,antidomain(X1)))) != domain(addition(X1,antidomain(X1)))
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = domain(addition(X1,antidomain(X1))) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))))),bind(Y,$fot(addition(zero,domain(addition(X1,antidomain(X1)))))),bind(Z,$fot(domain(addition(X1,antidomain(X1)))))]]) ).
cnf(refute_0_1206,plain,
( addition(zero,domain(addition(X1,antidomain(X1)))) != domain(addition(X1,antidomain(X1)))
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = domain(addition(X1,antidomain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),addition(zero,domain(addition(X1,antidomain(X1))))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) = domain(addition(X1,antidomain(X1))),
inference(resolve,[$cnf( $equal(addition(zero,domain(addition(X1,antidomain(X1)))),domain(addition(X1,antidomain(X1)))) )],[refute_0_1184,refute_0_1206]) ).
cnf(refute_0_1208,plain,
( addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) != domain(addition(X1,antidomain(X1)))
| addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) != one
| domain(addition(X1,antidomain(X1))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),one) ),[0],$fot(domain(addition(X1,antidomain(X1))))]]) ).
cnf(refute_0_1209,plain,
( addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))) != one
| domain(addition(X1,antidomain(X1))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),domain(addition(X1,antidomain(X1)))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
domain(addition(X1,antidomain(X1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(addition(domain(X1),antidomain(X1)))),one) )],[refute_0_1183,refute_0_1209]) ).
cnf(refute_0_1211,plain,
domain(addition(X_50,antidomain(X_50))) = one,
inference(subst,[],[refute_0_1210:[bind(X1,$fot(X_50))]]) ).
cnf(refute_0_1212,plain,
( domain(addition(X_50,antidomain(X_50))) != one
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_1213,plain,
( domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_50,antidomain(X_50))),one) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(multiplication(X0,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(multiplication(X0,domain(addition(X_50,antidomain(X_50)))))) )],[refute_0_1175,refute_0_1213]) ).
cnf(refute_0_1215,plain,
multiplication(X0,one) = X0,
inference(subst,[],[refute_0_178:[bind(A,$fot(X0))]]) ).
cnf(refute_0_1216,plain,
domain(multiplication(X0,one)) = domain(multiplication(X0,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_1217,plain,
( domain(multiplication(X0,one)) != domain(multiplication(X0,one))
| multiplication(X0,one) != X0
| domain(multiplication(X0,one)) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,one)),domain(multiplication(X0,one))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1218,plain,
( multiplication(X0,one) != X0
| domain(multiplication(X0,one)) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(multiplication(X0,one))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
domain(multiplication(X0,one)) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(X0,one),X0) )],[refute_0_1215,refute_0_1218]) ).
cnf(refute_0_1220,plain,
( domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,one))
| domain(multiplication(X0,one)) != domain(X0)
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(X0)) ),[0],$fot(domain(multiplication(X0,one)))]]) ).
cnf(refute_0_1221,plain,
( domain(multiplication(X0,addition(X_50,antidomain(X_50)))) != domain(multiplication(X0,one))
| domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,one)),domain(X0)) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
domain(multiplication(X0,addition(X_50,antidomain(X_50)))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(X_50,antidomain(X_50)))),domain(multiplication(X0,one))) )],[refute_0_1214,refute_0_1221]) ).
cnf(refute_0_1223,plain,
domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))) = domain(domain(X1)),
inference(subst,[],[refute_0_1222:[bind(X0,$fot(domain(X1))),bind(X_50,$fot(antidomain(X1)))]]) ).
cnf(refute_0_1224,plain,
multiplication(domain(X1),addition(antidomain(X1),X_94)) = addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_94)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X1))),bind(B,$fot(antidomain(X1))),bind(C,$fot(X_94))]]) ).
cnf(refute_0_1225,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_94)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_94))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(domain(X1),addition(antidomain(X1),X_94)) = addition(zero,multiplication(domain(X1),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_94)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_94))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1226,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_94)) != addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_94))
| multiplication(domain(X1),addition(antidomain(X1),X_94)) = addition(zero,multiplication(domain(X1),X_94)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_961,refute_0_1225]) ).
cnf(refute_0_1227,plain,
multiplication(domain(X1),addition(antidomain(X1),X_94)) = addition(zero,multiplication(domain(X1),X_94)),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_94)),addition(multiplication(domain(X1),antidomain(X1)),multiplication(domain(X1),X_94))) )],[refute_0_1224,refute_0_1226]) ).
cnf(refute_0_1228,plain,
addition(zero,multiplication(domain(X1),X_94)) = multiplication(domain(X1),X_94),
inference(subst,[],[refute_0_32:[bind(A,$fot(multiplication(domain(X1),X_94)))]]) ).
cnf(refute_0_1229,plain,
( addition(zero,multiplication(domain(X1),X_94)) != multiplication(domain(X1),X_94)
| multiplication(domain(X1),addition(antidomain(X1),X_94)) != addition(zero,multiplication(domain(X1),X_94))
| multiplication(domain(X1),addition(antidomain(X1),X_94)) = multiplication(domain(X1),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_94)),addition(zero,multiplication(domain(X1),X_94))) ),[1],$fot(multiplication(domain(X1),X_94))]]) ).
cnf(refute_0_1230,plain,
( multiplication(domain(X1),addition(antidomain(X1),X_94)) != addition(zero,multiplication(domain(X1),X_94))
| multiplication(domain(X1),addition(antidomain(X1),X_94)) = multiplication(domain(X1),X_94) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(domain(X1),X_94)),multiplication(domain(X1),X_94)) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
multiplication(domain(X1),addition(antidomain(X1),X_94)) = multiplication(domain(X1),X_94),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),X_94)),addition(zero,multiplication(domain(X1),X_94))) )],[refute_0_1227,refute_0_1230]) ).
cnf(refute_0_1232,plain,
multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1)))) = multiplication(domain(X1),antidomain(antidomain(X1))),
inference(subst,[],[refute_0_1231:[bind(X_94,$fot(antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1233,plain,
( domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))) != domain(domain(X1))
| multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1)))) != multiplication(domain(X1),antidomain(antidomain(X1)))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))),domain(domain(X1))) ),[0,0],$fot(multiplication(domain(X1),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1234,plain,
( domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))) != domain(domain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1)))),multiplication(domain(X1),antidomain(antidomain(X1)))) )],[refute_0_1232,refute_0_1233]) ).
cnf(refute_0_1235,plain,
domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(domain(X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X1),addition(antidomain(X1),antidomain(antidomain(X1))))),domain(domain(X1))) )],[refute_0_1223,refute_0_1234]) ).
cnf(refute_0_1236,plain,
( domain(X_30) != domain(domain(X_30))
| domain(domain(X_30)) = domain(X_30) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(X_30))),bind(Y,$fot(domain(domain(X_30))))]]) ).
cnf(refute_0_1237,plain,
domain(domain(X_30)) = domain(X_30),
inference(resolve,[$cnf( $equal(domain(X_30),domain(domain(X_30))) )],[refute_0_598,refute_0_1236]) ).
cnf(refute_0_1238,plain,
domain(domain(X1)) = domain(X1),
inference(subst,[],[refute_0_1237:[bind(X_30,$fot(X1))]]) ).
cnf(refute_0_1239,plain,
( domain(domain(X1)) != domain(X1)
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(domain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(X1) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(domain(X1))) ),[1],$fot(domain(X1))]]) ).
cnf(refute_0_1240,plain,
( domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(domain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(X1) ),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_1238,refute_0_1239]) ).
cnf(refute_0_1241,plain,
domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(X1),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(domain(X1))) )],[refute_0_1235,refute_0_1240]) ).
cnf(refute_0_1242,plain,
domain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = domain(X_461),
inference(subst,[],[refute_0_1241:[bind(X1,$fot(X_461))]]) ).
cnf(refute_0_1243,plain,
( antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) != antidomain(domain(multiplication(domain(X_461),antidomain(antidomain(X_461)))))
| domain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) != domain(X_461)
| antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = antidomain(domain(X_461)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))),antidomain(domain(multiplication(domain(X_461),antidomain(antidomain(X_461)))))) ),[1,0],$fot(domain(X_461))]]) ).
cnf(refute_0_1244,plain,
( antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) != antidomain(domain(multiplication(domain(X_461),antidomain(antidomain(X_461)))))
| antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = antidomain(domain(X_461)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_461),antidomain(antidomain(X_461)))),domain(X_461)) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = antidomain(domain(X_461)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))),antidomain(domain(multiplication(domain(X_461),antidomain(antidomain(X_461)))))) )],[refute_0_1174,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( antidomain(X_437) != antidomain(domain(X_437))
| antidomain(domain(X_437)) = antidomain(X_437) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(antidomain(X_437))),bind(Y,$fot(antidomain(domain(X_437))))]]) ).
cnf(refute_0_1247,plain,
antidomain(domain(X_437)) = antidomain(X_437),
inference(resolve,[$cnf( $equal(antidomain(X_437),antidomain(domain(X_437))) )],[refute_0_1173,refute_0_1246]) ).
cnf(refute_0_1248,plain,
antidomain(domain(X_461)) = antidomain(X_461),
inference(subst,[],[refute_0_1247:[bind(X_437,$fot(X_461))]]) ).
cnf(refute_0_1249,plain,
( antidomain(domain(X_461)) != antidomain(X_461)
| antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) != antidomain(domain(X_461))
| antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = antidomain(X_461) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))),antidomain(domain(X_461))) ),[1],$fot(antidomain(X_461))]]) ).
cnf(refute_0_1250,plain,
( antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) != antidomain(domain(X_461))
| antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = antidomain(X_461) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_461)),antidomain(X_461)) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))) = antidomain(X_461),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(X_461),antidomain(antidomain(X_461)))),antidomain(domain(X_461))) )],[refute_0_1245,refute_0_1250]) ).
cnf(refute_0_1252,plain,
antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003)))) = antidomain(X_1003),
inference(subst,[],[refute_0_1251:[bind(X_461,$fot(X_1003))]]) ).
cnf(refute_0_1253,plain,
( addition(domain(antidomain(antidomain(X_1003))),antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003))))) != one
| antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003)))) != antidomain(X_1003)
| addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(antidomain(X_1003))),antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003))))),one) ),[0,1],$fot(antidomain(X_1003))]]) ).
cnf(refute_0_1254,plain,
( addition(domain(antidomain(antidomain(X_1003))),antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003))))) != one
| addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)) = one ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003)))),antidomain(X_1003)) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(antidomain(X_1003))),antidomain(multiplication(domain(X_1003),antidomain(antidomain(X_1003))))),one) )],[refute_0_958,refute_0_1254]) ).
cnf(refute_0_1256,plain,
( addition(X_932,domain(X_31)) != addition(domain(X_31),X_932)
| addition(domain(X_31),X_932) = addition(X_932,domain(X_31)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_932,domain(X_31)))),bind(Y,$fot(addition(domain(X_31),X_932)))]]) ).
cnf(refute_0_1257,plain,
addition(domain(X_31),X_932) = addition(X_932,domain(X_31)),
inference(resolve,[$cnf( $equal(addition(X_932,domain(X_31)),addition(domain(X_31),X_932)) )],[refute_0_953,refute_0_1256]) ).
cnf(refute_0_1258,plain,
addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)) = addition(antidomain(X_1003),domain(antidomain(antidomain(X_1003)))),
inference(subst,[],[refute_0_1257:[bind(X_31,$fot(antidomain(antidomain(X_1003)))),bind(X_932,$fot(antidomain(X_1003)))]]) ).
cnf(refute_0_1259,plain,
( addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)) != addition(antidomain(X_1003),domain(antidomain(antidomain(X_1003))))
| addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)) != one
| addition(antidomain(X_1003),domain(antidomain(antidomain(X_1003)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)),one) ),[0],$fot(addition(antidomain(X_1003),domain(antidomain(antidomain(X_1003)))))]]) ).
cnf(refute_0_1260,plain,
( addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)) != one
| addition(antidomain(X_1003),domain(antidomain(antidomain(X_1003)))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)),addition(antidomain(X_1003),domain(antidomain(antidomain(X_1003))))) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
addition(antidomain(X_1003),domain(antidomain(antidomain(X_1003)))) = one,
inference(resolve,[$cnf( $equal(addition(domain(antidomain(antidomain(X_1003))),antidomain(X_1003)),one) )],[refute_0_1255,refute_0_1260]) ).
cnf(refute_0_1262,plain,
addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023)))) = one,
inference(subst,[],[refute_0_1261:[bind(X_1003,$fot(X_1023))]]) ).
cnf(refute_0_1263,plain,
( addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023)))) != one
| multiplication(domain(antidomain(X_1023)),addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023))))) != addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))
| multiplication(domain(antidomain(X_1023)),one) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_1023)),addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023))))),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1264,plain,
( multiplication(domain(antidomain(X_1023)),addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023))))) != addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))
| multiplication(domain(antidomain(X_1023)),one) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023)))),one) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
multiplication(domain(antidomain(X_1023)),one) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1023)),addition(antidomain(X_1023),domain(antidomain(antidomain(X_1023))))),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) )],[refute_0_100,refute_0_1264]) ).
cnf(refute_0_1266,plain,
multiplication(domain(antidomain(X_1023)),one) = domain(antidomain(X_1023)),
inference(subst,[],[refute_0_178:[bind(A,$fot(domain(antidomain(X_1023))))]]) ).
cnf(refute_0_1267,plain,
( multiplication(domain(antidomain(X_1023)),one) != addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))
| multiplication(domain(antidomain(X_1023)),one) != domain(antidomain(X_1023))
| domain(antidomain(X_1023)) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X_1023)),one),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) ),[0],$fot(domain(antidomain(X_1023)))]]) ).
cnf(refute_0_1268,plain,
( multiplication(domain(antidomain(X_1023)),one) != addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))
| domain(antidomain(X_1023)) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1023)),one),domain(antidomain(X_1023))) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
domain(antidomain(X_1023)) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1023)),one),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) )],[refute_0_1265,refute_0_1268]) ).
cnf(refute_0_1270,plain,
multiplication(domain(X1),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) = multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))),
inference(subst,[],[refute_0_1231:[bind(X_94,$fot(multiplication(domain(antidomain(X1)),domain(X1))))]]) ).
cnf(refute_0_1271,plain,
multiplication(domain(antidomain(X1)),addition(antidomain(X1),domain(X1))) = addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))),
inference(subst,[],[refute_0_99:[bind(B,$fot(antidomain(X1))),bind(C,$fot(domain(X1)))]]) ).
cnf(refute_0_1272,plain,
( addition(antidomain(X1),domain(X1)) != one
| multiplication(domain(antidomain(X1)),addition(antidomain(X1),domain(X1))) != addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(antidomain(X1)),one) = addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X1)),addition(antidomain(X1),domain(X1))),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1273,plain,
( multiplication(domain(antidomain(X1)),addition(antidomain(X1),domain(X1))) != addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(antidomain(X1)),one) = addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_107,refute_0_1272]) ).
cnf(refute_0_1274,plain,
multiplication(domain(antidomain(X1)),one) = addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X1)),addition(antidomain(X1),domain(X1))),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) )],[refute_0_1271,refute_0_1273]) ).
cnf(refute_0_1275,plain,
multiplication(domain(antidomain(X1)),one) = domain(antidomain(X1)),
inference(subst,[],[refute_0_178:[bind(A,$fot(domain(antidomain(X1))))]]) ).
cnf(refute_0_1276,plain,
( multiplication(domain(antidomain(X1)),one) != addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(antidomain(X1)),one) != domain(antidomain(X1))
| domain(antidomain(X1)) = addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(X1)),one),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) ),[0],$fot(domain(antidomain(X1)))]]) ).
cnf(refute_0_1277,plain,
( multiplication(domain(antidomain(X1)),one) != addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| domain(antidomain(X1)) = addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X1)),one),domain(antidomain(X1))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
domain(antidomain(X1)) = addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X1)),one),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) )],[refute_0_1274,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( domain(antidomain(X1)) != addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = domain(antidomain(X1)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(antidomain(X1)))),bind(Y,$fot(addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))))]]) ).
cnf(refute_0_1280,plain,
addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = domain(antidomain(X1)),
inference(resolve,[$cnf( $equal(domain(antidomain(X1)),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
( addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))) != domain(antidomain(X1))
| multiplication(domain(X1),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) != multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(X1),domain(antidomain(X1))) = multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))),multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) ),[0,1],$fot(domain(antidomain(X1)))]]) ).
cnf(refute_0_1282,plain,
( multiplication(domain(X1),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) != multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(X1),domain(antidomain(X1))) = multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1))),domain(antidomain(X1))) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
multiplication(domain(X1),domain(antidomain(X1))) = multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(antidomain(X1),multiplication(domain(antidomain(X1)),domain(X1)))),multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) )],[refute_0_1270,refute_0_1282]) ).
cnf(refute_0_1284,plain,
multiplication(addition(domain(X0),domain(X_484)),domain(X_484)) = multiplication(addition(one,domain(X0)),domain(X_484)),
inference(subst,[],[refute_0_874:[bind(A,$fot(domain(X0))),bind(X_478,$fot(X_484))]]) ).
cnf(refute_0_1285,plain,
domain(addition(X0,X_484)) = addition(domain(X0),domain(X_484)),
inference(subst,[],[refute_0_5:[bind(X1,$fot(X_484))]]) ).
cnf(refute_0_1286,plain,
( domain(addition(X0,X_484)) != addition(domain(X0),domain(X_484))
| addition(domain(X0),domain(X_484)) = domain(addition(X0,X_484)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(addition(X0,X_484)))),bind(Y,$fot(addition(domain(X0),domain(X_484))))]]) ).
cnf(refute_0_1287,plain,
addition(domain(X0),domain(X_484)) = domain(addition(X0,X_484)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X_484)),addition(domain(X0),domain(X_484))) )],[refute_0_1285,refute_0_1286]) ).
cnf(refute_0_1288,plain,
( addition(domain(X0),domain(X_484)) != domain(addition(X0,X_484))
| multiplication(addition(domain(X0),domain(X_484)),domain(X_484)) != multiplication(addition(one,domain(X0)),domain(X_484))
| multiplication(domain(addition(X0,X_484)),domain(X_484)) = multiplication(addition(one,domain(X0)),domain(X_484)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),domain(X_484)),domain(X_484)),multiplication(addition(one,domain(X0)),domain(X_484))) ),[0,0],$fot(domain(addition(X0,X_484)))]]) ).
cnf(refute_0_1289,plain,
( multiplication(addition(domain(X0),domain(X_484)),domain(X_484)) != multiplication(addition(one,domain(X0)),domain(X_484))
| multiplication(domain(addition(X0,X_484)),domain(X_484)) = multiplication(addition(one,domain(X0)),domain(X_484)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X_484)),domain(addition(X0,X_484))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
multiplication(domain(addition(X0,X_484)),domain(X_484)) = multiplication(addition(one,domain(X0)),domain(X_484)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),domain(X_484)),domain(X_484)),multiplication(addition(one,domain(X0)),domain(X_484))) )],[refute_0_1284,refute_0_1289]) ).
cnf(refute_0_1291,plain,
multiplication(one,domain(X_484)) = domain(X_484),
inference(subst,[],[refute_0_52:[bind(A,$fot(domain(X_484)))]]) ).
cnf(refute_0_1292,plain,
multiplication(addition(one,domain(X0)),domain(X_484)) = multiplication(addition(one,domain(X0)),domain(X_484)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),domain(X_484)))]]) ).
cnf(refute_0_1293,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),domain(X_484)) != multiplication(addition(one,domain(X0)),domain(X_484))
| multiplication(addition(one,domain(X0)),domain(X_484)) = multiplication(one,domain(X_484)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),domain(X_484)),multiplication(addition(one,domain(X0)),domain(X_484))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1294,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),domain(X_484)) = multiplication(one,domain(X_484)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),domain(X_484)),multiplication(addition(one,domain(X0)),domain(X_484))) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
multiplication(addition(one,domain(X0)),domain(X_484)) = multiplication(one,domain(X_484)),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_60,refute_0_1294]) ).
cnf(refute_0_1296,plain,
( multiplication(addition(one,domain(X0)),domain(X_484)) != multiplication(one,domain(X_484))
| multiplication(one,domain(X_484)) != domain(X_484)
| multiplication(addition(one,domain(X0)),domain(X_484)) = domain(X_484) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(addition(one,domain(X0)),domain(X_484)))),bind(Y,$fot(multiplication(one,domain(X_484)))),bind(Z,$fot(domain(X_484)))]]) ).
cnf(refute_0_1297,plain,
( multiplication(one,domain(X_484)) != domain(X_484)
| multiplication(addition(one,domain(X0)),domain(X_484)) = domain(X_484) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),domain(X_484)),multiplication(one,domain(X_484))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
multiplication(addition(one,domain(X0)),domain(X_484)) = domain(X_484),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_484)),domain(X_484)) )],[refute_0_1291,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( multiplication(addition(one,domain(X0)),domain(X_484)) != domain(X_484)
| multiplication(domain(addition(X0,X_484)),domain(X_484)) != multiplication(addition(one,domain(X0)),domain(X_484))
| multiplication(domain(addition(X0,X_484)),domain(X_484)) = domain(X_484) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X0,X_484)),domain(X_484)),multiplication(addition(one,domain(X0)),domain(X_484))) ),[1],$fot(domain(X_484))]]) ).
cnf(refute_0_1300,plain,
( multiplication(domain(addition(X0,X_484)),domain(X_484)) != multiplication(addition(one,domain(X0)),domain(X_484))
| multiplication(domain(addition(X0,X_484)),domain(X_484)) = domain(X_484) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),domain(X_484)),domain(X_484)) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
multiplication(domain(addition(X0,X_484)),domain(X_484)) = domain(X_484),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X0,X_484)),domain(X_484)),multiplication(addition(one,domain(X0)),domain(X_484))) )],[refute_0_1290,refute_0_1300]) ).
cnf(refute_0_1302,plain,
multiplication(domain(addition(X0,multiplication(domain(X_995),X0))),domain(multiplication(domain(X_995),X0))) = domain(multiplication(domain(X_995),X0)),
inference(subst,[],[refute_0_1301:[bind(X_484,$fot(multiplication(domain(X_995),X0)))]]) ).
cnf(refute_0_1303,plain,
( addition(X0,multiplication(domain(X_995),X0)) != X0
| multiplication(domain(addition(X0,multiplication(domain(X_995),X0))),domain(multiplication(domain(X_995),X0))) != domain(multiplication(domain(X_995),X0))
| multiplication(domain(X0),domain(multiplication(domain(X_995),X0))) = domain(multiplication(domain(X_995),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X0,multiplication(domain(X_995),X0))),domain(multiplication(domain(X_995),X0))),domain(multiplication(domain(X_995),X0))) ),[0,0,0],$fot(X0)]]) ).
cnf(refute_0_1304,plain,
( multiplication(domain(addition(X0,multiplication(domain(X_995),X0))),domain(multiplication(domain(X_995),X0))) != domain(multiplication(domain(X_995),X0))
| multiplication(domain(X0),domain(multiplication(domain(X_995),X0))) = domain(multiplication(domain(X_995),X0)) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X_995),X0)),X0) )],[refute_0_579,refute_0_1303]) ).
cnf(refute_0_1305,plain,
multiplication(domain(X0),domain(multiplication(domain(X_995),X0))) = domain(multiplication(domain(X_995),X0)),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X0,multiplication(domain(X_995),X0))),domain(multiplication(domain(X_995),X0))),domain(multiplication(domain(X_995),X0))) )],[refute_0_1302,refute_0_1304]) ).
cnf(refute_0_1306,plain,
multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))) = domain(multiplication(domain(antidomain(X1)),X1)),
inference(subst,[],[refute_0_1305:[bind(X0,$fot(X1)),bind(X_995,$fot(antidomain(X1)))]]) ).
cnf(refute_0_1307,plain,
multiplication(domain(C),addition(B,C)) = addition(multiplication(domain(C),B),multiplication(domain(C),C)),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(C)))]]) ).
cnf(refute_0_1308,plain,
multiplication(domain(C),C) = C,
inference(subst,[],[refute_0_95:[bind(X_256,$fot(C))]]) ).
cnf(refute_0_1309,plain,
( multiplication(domain(C),C) != C
| multiplication(domain(C),addition(B,C)) != addition(multiplication(domain(C),B),multiplication(domain(C),C))
| multiplication(domain(C),addition(B,C)) = addition(multiplication(domain(C),B),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(C),addition(B,C)),addition(multiplication(domain(C),B),multiplication(domain(C),C))) ),[1,1],$fot(C)]]) ).
cnf(refute_0_1310,plain,
( multiplication(domain(C),addition(B,C)) != addition(multiplication(domain(C),B),multiplication(domain(C),C))
| multiplication(domain(C),addition(B,C)) = addition(multiplication(domain(C),B),C) ),
inference(resolve,[$cnf( $equal(multiplication(domain(C),C),C) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
multiplication(domain(C),addition(B,C)) = addition(multiplication(domain(C),B),C),
inference(resolve,[$cnf( $equal(multiplication(domain(C),addition(B,C)),addition(multiplication(domain(C),B),multiplication(domain(C),C))) )],[refute_0_1307,refute_0_1310]) ).
cnf(refute_0_1312,plain,
addition(multiplication(domain(C),B),C) = addition(C,multiplication(domain(C),B)),
inference(subst,[],[refute_0_56:[bind(A,$fot(C)),bind(B,$fot(multiplication(domain(C),B)))]]) ).
cnf(refute_0_1313,plain,
( addition(multiplication(domain(C),B),C) != addition(C,multiplication(domain(C),B))
| multiplication(domain(C),addition(B,C)) != addition(multiplication(domain(C),B),C)
| multiplication(domain(C),addition(B,C)) = addition(C,multiplication(domain(C),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(C),addition(B,C)),addition(multiplication(domain(C),B),C)) ),[1],$fot(addition(C,multiplication(domain(C),B)))]]) ).
cnf(refute_0_1314,plain,
( multiplication(domain(C),addition(B,C)) != addition(multiplication(domain(C),B),C)
| multiplication(domain(C),addition(B,C)) = addition(C,multiplication(domain(C),B)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(C),B),C),addition(C,multiplication(domain(C),B))) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
multiplication(domain(C),addition(B,C)) = addition(C,multiplication(domain(C),B)),
inference(resolve,[$cnf( $equal(multiplication(domain(C),addition(B,C)),addition(multiplication(domain(C),B),C)) )],[refute_0_1311,refute_0_1314]) ).
cnf(refute_0_1316,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))),
inference(subst,[],[refute_0_1315:[bind(B,$fot(antidomain(X_1274))),bind(C,$fot(multiplication(domain(antidomain(X_1274)),domain(X_1274))))]]) ).
cnf(refute_0_1317,plain,
domain(antidomain(X_1274)) = addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274))),
inference(subst,[],[refute_0_1278:[bind(X1,$fot(X_1274))]]) ).
cnf(refute_0_1318,plain,
( domain(antidomain(X_1274)) != addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))
| addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274))) = domain(antidomain(X_1274)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(antidomain(X_1274)))),bind(Y,$fot(addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))))]]) ).
cnf(refute_0_1319,plain,
addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274))) = domain(antidomain(X_1274)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1274)),addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274))) != domain(antidomain(X_1274))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) ),[0,1],$fot(domain(antidomain(X_1274)))]]) ).
cnf(refute_0_1321,plain,
( multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),addition(antidomain(X_1274),multiplication(domain(antidomain(X_1274)),domain(X_1274)))),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) )],[refute_0_1316,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( domain(multiplication(X0,X1)) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(multiplication(X0,X1)))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_1324,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,X1)),domain(multiplication(X0,domain(X1)))) )],[refute_0_585,refute_0_1323]) ).
cnf(refute_0_1325,plain,
domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))) = domain(multiplication(domain(antidomain(X_1274)),X_1274)),
inference(subst,[],[refute_0_1324:[bind(X0,$fot(domain(antidomain(X_1274)))),bind(X1,$fot(X_1274))]]) ).
cnf(refute_0_1326,plain,
multiplication(domain(X1),addition(X_93,antidomain(X1))) = addition(multiplication(domain(X1),X_93),multiplication(domain(X1),antidomain(X1))),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X1))),bind(B,$fot(X_93)),bind(C,$fot(antidomain(X1)))]]) ).
cnf(refute_0_1327,plain,
( multiplication(domain(X1),addition(X_93,antidomain(X1))) != addition(multiplication(domain(X1),X_93),multiplication(domain(X1),antidomain(X1)))
| multiplication(domain(X1),antidomain(X1)) != zero
| multiplication(domain(X1),addition(X_93,antidomain(X1))) = addition(multiplication(domain(X1),X_93),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(X_93,antidomain(X1))),addition(multiplication(domain(X1),X_93),multiplication(domain(X1),antidomain(X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1328,plain,
( multiplication(domain(X1),addition(X_93,antidomain(X1))) != addition(multiplication(domain(X1),X_93),multiplication(domain(X1),antidomain(X1)))
| multiplication(domain(X1),addition(X_93,antidomain(X1))) = addition(multiplication(domain(X1),X_93),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(X1)),zero) )],[refute_0_961,refute_0_1327]) ).
cnf(refute_0_1329,plain,
multiplication(domain(X1),addition(X_93,antidomain(X1))) = addition(multiplication(domain(X1),X_93),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(X_93,antidomain(X1))),addition(multiplication(domain(X1),X_93),multiplication(domain(X1),antidomain(X1)))) )],[refute_0_1326,refute_0_1328]) ).
cnf(refute_0_1330,plain,
addition(multiplication(domain(X1),X_93),zero) = multiplication(domain(X1),X_93),
inference(subst,[],[refute_0_28:[bind(A,$fot(multiplication(domain(X1),X_93)))]]) ).
cnf(refute_0_1331,plain,
( addition(multiplication(domain(X1),X_93),zero) != multiplication(domain(X1),X_93)
| multiplication(domain(X1),addition(X_93,antidomain(X1))) != addition(multiplication(domain(X1),X_93),zero)
| multiplication(domain(X1),addition(X_93,antidomain(X1))) = multiplication(domain(X1),X_93) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),addition(X_93,antidomain(X1))),addition(multiplication(domain(X1),X_93),zero)) ),[1],$fot(multiplication(domain(X1),X_93))]]) ).
cnf(refute_0_1332,plain,
( multiplication(domain(X1),addition(X_93,antidomain(X1))) != addition(multiplication(domain(X1),X_93),zero)
| multiplication(domain(X1),addition(X_93,antidomain(X1))) = multiplication(domain(X1),X_93) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X1),X_93),zero),multiplication(domain(X1),X_93)) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
multiplication(domain(X1),addition(X_93,antidomain(X1))) = multiplication(domain(X1),X_93),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),addition(X_93,antidomain(X1))),addition(multiplication(domain(X1),X_93),zero)) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
multiplication(domain(multiplication(domain(X_702),X_703)),addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703)))) = multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)),
inference(subst,[],[refute_0_1333:[bind(X1,$fot(multiplication(domain(X_702),X_703))),bind(X_93,$fot(domain(X_702)))]]) ).
cnf(refute_0_1335,plain,
addition(antidomain(multiplication(domain(X0),X_701)),domain(addition(X0,multiplication(domain(X0),X_701)))) = one,
inference(subst,[],[refute_0_567:[bind(X_317,$fot(multiplication(domain(X0),X_701)))]]) ).
cnf(refute_0_1336,plain,
domain(multiplication(X0,addition(one,X_96))) = domain(multiplication(X0,domain(addition(one,X_96)))),
inference(subst,[],[refute_0_585:[bind(X1,$fot(addition(one,X_96)))]]) ).
cnf(refute_0_1337,plain,
multiplication(X0,addition(one,X_96)) = addition(X0,multiplication(X0,X_96)),
inference(subst,[],[refute_0_644:[bind(X_92,$fot(X0)),bind(X_94,$fot(X_96))]]) ).
cnf(refute_0_1338,plain,
( domain(multiplication(X0,addition(one,X_96))) != domain(multiplication(X0,domain(addition(one,X_96))))
| multiplication(X0,addition(one,X_96)) != addition(X0,multiplication(X0,X_96))
| domain(addition(X0,multiplication(X0,X_96))) = domain(multiplication(X0,domain(addition(one,X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,addition(one,X_96))),domain(multiplication(X0,domain(addition(one,X_96))))) ),[0,0],$fot(addition(X0,multiplication(X0,X_96)))]]) ).
cnf(refute_0_1339,plain,
( domain(multiplication(X0,addition(one,X_96))) != domain(multiplication(X0,domain(addition(one,X_96))))
| domain(addition(X0,multiplication(X0,X_96))) = domain(multiplication(X0,domain(addition(one,X_96)))) ),
inference(resolve,[$cnf( $equal(multiplication(X0,addition(one,X_96)),addition(X0,multiplication(X0,X_96))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
domain(addition(X0,multiplication(X0,X_96))) = domain(multiplication(X0,domain(addition(one,X_96)))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(one,X_96))),domain(multiplication(X0,domain(addition(one,X_96))))) )],[refute_0_1336,refute_0_1339]) ).
cnf(refute_0_1341,plain,
domain(multiplication(X_29,addition(one,X1))) = domain(multiplication(X_29,domain(addition(one,X1)))),
inference(subst,[],[refute_0_585:[bind(X0,$fot(X_29)),bind(X1,$fot(addition(one,X1)))]]) ).
cnf(refute_0_1342,plain,
( domain(addition(one,X1)) != one
| domain(multiplication(X_29,addition(one,X1))) != domain(multiplication(X_29,domain(addition(one,X1))))
| domain(multiplication(X_29,addition(one,X1))) = domain(multiplication(X_29,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_29,addition(one,X1))),domain(multiplication(X_29,domain(addition(one,X1))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_1343,plain,
( domain(multiplication(X_29,addition(one,X1))) != domain(multiplication(X_29,domain(addition(one,X1))))
| domain(multiplication(X_29,addition(one,X1))) = domain(multiplication(X_29,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X1)),one) )],[refute_0_198,refute_0_1342]) ).
cnf(refute_0_1344,plain,
domain(multiplication(X_29,addition(one,X1))) = domain(multiplication(X_29,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,addition(one,X1))),domain(multiplication(X_29,domain(addition(one,X1))))) )],[refute_0_1341,refute_0_1343]) ).
cnf(refute_0_1345,plain,
( domain(multiplication(X_29,addition(one,X1))) != domain(multiplication(X_29,one))
| domain(multiplication(X_29,one)) != domain(X_29)
| domain(multiplication(X_29,addition(one,X1))) = domain(X_29) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X_29,addition(one,X1))),domain(X_29)) ),[0],$fot(domain(multiplication(X_29,one)))]]) ).
cnf(refute_0_1346,plain,
( domain(multiplication(X_29,addition(one,X1))) != domain(multiplication(X_29,one))
| domain(multiplication(X_29,addition(one,X1))) = domain(X_29) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,one)),domain(X_29)) )],[refute_0_983,refute_0_1345]) ).
cnf(refute_0_1347,plain,
domain(multiplication(X_29,addition(one,X1))) = domain(X_29),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,addition(one,X1))),domain(multiplication(X_29,one))) )],[refute_0_1344,refute_0_1346]) ).
cnf(refute_0_1348,plain,
domain(multiplication(X0,addition(one,X_96))) = domain(X0),
inference(subst,[],[refute_0_1347:[bind(X1,$fot(X_96)),bind(X_29,$fot(X0))]]) ).
cnf(refute_0_1349,plain,
domain(multiplication(X0,domain(addition(one,X_96)))) = domain(multiplication(X0,addition(one,X_96))),
inference(subst,[],[refute_0_1324:[bind(X1,$fot(addition(one,X_96)))]]) ).
cnf(refute_0_1350,plain,
( domain(multiplication(X0,addition(one,X_96))) != domain(X0)
| domain(multiplication(X0,domain(addition(one,X_96)))) != domain(multiplication(X0,addition(one,X_96)))
| domain(multiplication(X0,domain(addition(one,X_96)))) = domain(X0) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(domain(multiplication(X0,domain(addition(one,X_96)))))),bind(Y,$fot(domain(multiplication(X0,addition(one,X_96))))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_1351,plain,
( domain(multiplication(X0,addition(one,X_96))) != domain(X0)
| domain(multiplication(X0,domain(addition(one,X_96)))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(addition(one,X_96)))),domain(multiplication(X0,addition(one,X_96)))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
domain(multiplication(X0,domain(addition(one,X_96)))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,addition(one,X_96))),domain(X0)) )],[refute_0_1348,refute_0_1351]) ).
cnf(refute_0_1353,plain,
( domain(addition(X0,multiplication(X0,X_96))) != domain(multiplication(X0,domain(addition(one,X_96))))
| domain(multiplication(X0,domain(addition(one,X_96)))) != domain(X0)
| domain(addition(X0,multiplication(X0,X_96))) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(addition(X0,multiplication(X0,X_96))),domain(X0)) ),[0],$fot(domain(multiplication(X0,domain(addition(one,X_96)))))]]) ).
cnf(refute_0_1354,plain,
( domain(addition(X0,multiplication(X0,X_96))) != domain(multiplication(X0,domain(addition(one,X_96))))
| domain(addition(X0,multiplication(X0,X_96))) = domain(X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(addition(one,X_96)))),domain(X0)) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
domain(addition(X0,multiplication(X0,X_96))) = domain(X0),
inference(resolve,[$cnf( $equal(domain(addition(X0,multiplication(X0,X_96))),domain(multiplication(X0,domain(addition(one,X_96))))) )],[refute_0_1340,refute_0_1354]) ).
cnf(refute_0_1356,plain,
domain(addition(domain(X_280),multiplication(domain(X_280),X_96))) = domain(domain(X_280)),
inference(subst,[],[refute_0_1355:[bind(X0,$fot(domain(X_280)))]]) ).
cnf(refute_0_1357,plain,
domain(addition(domain(X_280),multiplication(domain(X_280),X_96))) = domain(addition(X_280,multiplication(domain(X_280),X_96))),
inference(subst,[],[refute_0_608:[bind(X1,$fot(multiplication(domain(X_280),X_96))),bind(X_31,$fot(X_280))]]) ).
cnf(refute_0_1358,plain,
( domain(addition(domain(X_280),multiplication(domain(X_280),X_96))) != domain(addition(X_280,multiplication(domain(X_280),X_96)))
| domain(addition(domain(X_280),multiplication(domain(X_280),X_96))) != domain(domain(X_280))
| domain(addition(X_280,multiplication(domain(X_280),X_96))) = domain(domain(X_280)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_280),multiplication(domain(X_280),X_96))),domain(domain(X_280))) ),[0],$fot(domain(addition(X_280,multiplication(domain(X_280),X_96))))]]) ).
cnf(refute_0_1359,plain,
( domain(addition(domain(X_280),multiplication(domain(X_280),X_96))) != domain(domain(X_280))
| domain(addition(X_280,multiplication(domain(X_280),X_96))) = domain(domain(X_280)) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_280),multiplication(domain(X_280),X_96))),domain(addition(X_280,multiplication(domain(X_280),X_96)))) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
domain(addition(X_280,multiplication(domain(X_280),X_96))) = domain(domain(X_280)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_280),multiplication(domain(X_280),X_96))),domain(domain(X_280))) )],[refute_0_1356,refute_0_1359]) ).
cnf(refute_0_1361,plain,
domain(domain(X_280)) = domain(X_280),
inference(subst,[],[refute_0_1237:[bind(X_30,$fot(X_280))]]) ).
cnf(refute_0_1362,plain,
( domain(addition(X_280,multiplication(domain(X_280),X_96))) != domain(domain(X_280))
| domain(domain(X_280)) != domain(X_280)
| domain(addition(X_280,multiplication(domain(X_280),X_96))) = domain(X_280) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(addition(X_280,multiplication(domain(X_280),X_96))),domain(X_280)) ),[0],$fot(domain(domain(X_280)))]]) ).
cnf(refute_0_1363,plain,
( domain(addition(X_280,multiplication(domain(X_280),X_96))) != domain(domain(X_280))
| domain(addition(X_280,multiplication(domain(X_280),X_96))) = domain(X_280) ),
inference(resolve,[$cnf( $equal(domain(domain(X_280)),domain(X_280)) )],[refute_0_1361,refute_0_1362]) ).
cnf(refute_0_1364,plain,
domain(addition(X_280,multiplication(domain(X_280),X_96))) = domain(X_280),
inference(resolve,[$cnf( $equal(domain(addition(X_280,multiplication(domain(X_280),X_96))),domain(domain(X_280))) )],[refute_0_1360,refute_0_1363]) ).
cnf(refute_0_1365,plain,
domain(addition(X0,multiplication(domain(X0),X_701))) = domain(X0),
inference(subst,[],[refute_0_1364:[bind(X_280,$fot(X0)),bind(X_96,$fot(X_701))]]) ).
cnf(refute_0_1366,plain,
( addition(antidomain(multiplication(domain(X0),X_701)),domain(addition(X0,multiplication(domain(X0),X_701)))) != one
| domain(addition(X0,multiplication(domain(X0),X_701))) != domain(X0)
| addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(domain(X0),X_701)),domain(addition(X0,multiplication(domain(X0),X_701)))),one) ),[0,1],$fot(domain(X0))]]) ).
cnf(refute_0_1367,plain,
( addition(antidomain(multiplication(domain(X0),X_701)),domain(addition(X0,multiplication(domain(X0),X_701)))) != one
| addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(domain(addition(X0,multiplication(domain(X0),X_701))),domain(X0)) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X0),X_701)),domain(addition(X0,multiplication(domain(X0),X_701)))),one) )],[refute_0_1335,refute_0_1367]) ).
cnf(refute_0_1369,plain,
addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)) = addition(domain(X0),antidomain(multiplication(domain(X0),X_701))),
inference(subst,[],[refute_0_942:[bind(X_479,$fot(antidomain(multiplication(domain(X0),X_701)))),bind(X_480,$fot(X0))]]) ).
cnf(refute_0_1370,plain,
( addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)) != addition(domain(X0),antidomain(multiplication(domain(X0),X_701)))
| addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)) != one
| addition(domain(X0),antidomain(multiplication(domain(X0),X_701))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)),one) ),[0],$fot(addition(domain(X0),antidomain(multiplication(domain(X0),X_701))))]]) ).
cnf(refute_0_1371,plain,
( addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)) != one
| addition(domain(X0),antidomain(multiplication(domain(X0),X_701))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)),addition(domain(X0),antidomain(multiplication(domain(X0),X_701)))) )],[refute_0_1369,refute_0_1370]) ).
cnf(refute_0_1372,plain,
addition(domain(X0),antidomain(multiplication(domain(X0),X_701))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(domain(X0),X_701)),domain(X0)),one) )],[refute_0_1368,refute_0_1371]) ).
cnf(refute_0_1373,plain,
addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703))) = one,
inference(subst,[],[refute_0_1372:[bind(X0,$fot(X_702)),bind(X_701,$fot(X_703))]]) ).
cnf(refute_0_1374,plain,
( addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703))) != one
| multiplication(domain(multiplication(domain(X_702),X_703)),addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703)))) != multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))
| multiplication(domain(multiplication(domain(X_702),X_703)),one) = multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_702),X_703)),addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703)))),multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1375,plain,
( multiplication(domain(multiplication(domain(X_702),X_703)),addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703)))) != multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))
| multiplication(domain(multiplication(domain(X_702),X_703)),one) = multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703))),one) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
multiplication(domain(multiplication(domain(X_702),X_703)),one) = multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_702),X_703)),addition(domain(X_702),antidomain(multiplication(domain(X_702),X_703)))),multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))) )],[refute_0_1334,refute_0_1375]) ).
cnf(refute_0_1377,plain,
multiplication(domain(multiplication(domain(X_702),X_703)),one) = domain(multiplication(domain(X_702),X_703)),
inference(subst,[],[refute_0_178:[bind(A,$fot(domain(multiplication(domain(X_702),X_703))))]]) ).
cnf(refute_0_1378,plain,
( multiplication(domain(multiplication(domain(X_702),X_703)),one) != domain(multiplication(domain(X_702),X_703))
| multiplication(domain(multiplication(domain(X_702),X_703)),one) != multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))
| domain(multiplication(domain(X_702),X_703)) = multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_702),X_703)),one),multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))) ),[0],$fot(domain(multiplication(domain(X_702),X_703)))]]) ).
cnf(refute_0_1379,plain,
( multiplication(domain(multiplication(domain(X_702),X_703)),one) != multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))
| domain(multiplication(domain(X_702),X_703)) = multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_702),X_703)),one),domain(multiplication(domain(X_702),X_703))) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
domain(multiplication(domain(X_702),X_703)) = multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_702),X_703)),one),multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))) )],[refute_0_1376,refute_0_1379]) ).
cnf(refute_0_1381,plain,
( domain(multiplication(domain(X_702),X_703)) != multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))
| multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)) = domain(multiplication(domain(X_702),X_703)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(multiplication(domain(X_702),X_703)))),bind(Y,$fot(multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))))]]) ).
cnf(refute_0_1382,plain,
multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702)) = domain(multiplication(domain(X_702),X_703)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X_702),X_703)),multiplication(domain(multiplication(domain(X_702),X_703)),domain(X_702))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) = domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),
inference(subst,[],[refute_0_1382:[bind(X_702,$fot(antidomain(X_1274))),bind(X_703,$fot(domain(X_1274)))]]) ).
cnf(refute_0_1384,plain,
( domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))) != domain(multiplication(domain(antidomain(X_1274)),X_1274))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) != domain(multiplication(domain(antidomain(X_1274)),domain(X_1274)))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) = domain(multiplication(domain(antidomain(X_1274)),X_1274)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))))),bind(Y,$fot(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))))),bind(Z,$fot(domain(multiplication(domain(antidomain(X_1274)),X_1274))))]]) ).
cnf(refute_0_1385,plain,
( domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))) != domain(multiplication(domain(antidomain(X_1274)),X_1274))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) = domain(multiplication(domain(antidomain(X_1274)),X_1274)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))),domain(multiplication(domain(antidomain(X_1274)),domain(X_1274)))) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) = domain(multiplication(domain(antidomain(X_1274)),X_1274)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(multiplication(domain(antidomain(X_1274)),X_1274))) )],[refute_0_1325,refute_0_1385]) ).
cnf(refute_0_1387,plain,
( multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) != domain(multiplication(domain(antidomain(X_1274)),X_1274))
| domain(multiplication(domain(antidomain(X_1274)),X_1274)) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) ),[0],$fot(domain(multiplication(domain(antidomain(X_1274)),X_1274)))]]) ).
cnf(refute_0_1388,plain,
( multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| domain(multiplication(domain(antidomain(X_1274)),X_1274)) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))),domain(multiplication(domain(antidomain(X_1274)),X_1274))) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274))) = multiplication(domain(antidomain(X_1274)),domain(X_1274)),
inference(subst,[],[refute_0_32:[bind(A,$fot(multiplication(domain(antidomain(X_1274)),domain(X_1274))))]]) ).
cnf(refute_0_1390,plain,
multiplication(domain(addition(X_655,X_71)),addition(X_655,addition(X_655,X_71))) = addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)),
inference(subst,[],[refute_0_1315:[bind(B,$fot(X_655)),bind(C,$fot(addition(X_655,X_71)))]]) ).
cnf(refute_0_1391,plain,
addition(X_655,addition(X_655,X_71)) = addition(X_655,X_71),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(X_655))]]) ).
cnf(refute_0_1392,plain,
( addition(X_655,addition(X_655,X_71)) != addition(X_655,X_71)
| multiplication(domain(addition(X_655,X_71)),addition(X_655,addition(X_655,X_71))) != addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))
| multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) = addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_655,X_71)),addition(X_655,addition(X_655,X_71))),addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))) ),[0,1],$fot(addition(X_655,X_71))]]) ).
cnf(refute_0_1393,plain,
( multiplication(domain(addition(X_655,X_71)),addition(X_655,addition(X_655,X_71))) != addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))
| multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) = addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)) ),
inference(resolve,[$cnf( $equal(addition(X_655,addition(X_655,X_71)),addition(X_655,X_71)) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) = addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_655,X_71)),addition(X_655,addition(X_655,X_71))),addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))) )],[refute_0_1390,refute_0_1393]) ).
cnf(refute_0_1395,plain,
multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) = addition(X_655,X_71),
inference(subst,[],[refute_0_95:[bind(X_256,$fot(addition(X_655,X_71)))]]) ).
cnf(refute_0_1396,plain,
( multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) != addition(X_655,X_71)
| multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) != addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))
| addition(X_655,X_71) = addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)),addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))) ),[0],$fot(addition(X_655,X_71))]]) ).
cnf(refute_0_1397,plain,
( multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) != addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))
| addition(X_655,X_71) = addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)),addition(X_655,X_71)) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)) = addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_655)),bind(B,$fot(X_71)),bind(C,$fot(multiplication(domain(addition(X_655,X_71)),X_655)))]]) ).
cnf(refute_0_1399,plain,
( addition(X_655,X_71) != addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))
| addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)) != addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655)))
| addition(X_655,X_71) = addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_655,X_71),addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655)))) ),[0],$fot(addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)))]]) ).
cnf(refute_0_1400,plain,
( addition(X_655,X_71) != addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))
| addition(X_655,X_71) = addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655)),addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655)))) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
( multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)) != addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))
| addition(X_655,X_71) = addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))) ),
inference(resolve,[$cnf( $equal(addition(X_655,X_71),addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))) )],[refute_0_1397,refute_0_1400]) ).
cnf(refute_0_1402,plain,
addition(X_655,X_71) = addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_655,X_71)),addition(X_655,X_71)),addition(addition(X_655,X_71),multiplication(domain(addition(X_655,X_71)),X_655))) )],[refute_0_1394,refute_0_1401]) ).
cnf(refute_0_1403,plain,
addition(addition(A,B),X_303) = addition(X_303,addition(addition(A,B),X_303)),
inference(subst,[],[refute_0_165:[bind(X_70,$fot(addition(A,B))),bind(X_71,$fot(X_303))]]) ).
cnf(refute_0_1404,plain,
addition(A,addition(B,X_303)) = addition(addition(A,B),X_303),
inference(subst,[],[refute_0_101:[bind(C,$fot(X_303))]]) ).
cnf(refute_0_1405,plain,
( addition(A,addition(B,X_303)) != addition(addition(A,B),X_303)
| addition(addition(A,B),X_303) = addition(A,addition(B,X_303)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(B,X_303)))),bind(Y,$fot(addition(addition(A,B),X_303)))]]) ).
cnf(refute_0_1406,plain,
addition(addition(A,B),X_303) = addition(A,addition(B,X_303)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,X_303)),addition(addition(A,B),X_303)) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
( addition(addition(A,B),X_303) != addition(A,addition(B,X_303))
| addition(addition(A,B),X_303) != addition(X_303,addition(addition(A,B),X_303))
| addition(addition(A,B),X_303) = addition(X_303,addition(A,addition(B,X_303))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(A,B),X_303),addition(X_303,addition(addition(A,B),X_303))) ),[1,1],$fot(addition(A,addition(B,X_303)))]]) ).
cnf(refute_0_1408,plain,
( addition(addition(A,B),X_303) != addition(X_303,addition(addition(A,B),X_303))
| addition(addition(A,B),X_303) = addition(X_303,addition(A,addition(B,X_303))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),X_303),addition(A,addition(B,X_303))) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
addition(addition(A,B),X_303) = addition(X_303,addition(A,addition(B,X_303))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),X_303),addition(X_303,addition(addition(A,B),X_303))) )],[refute_0_1403,refute_0_1408]) ).
cnf(refute_0_1410,plain,
( addition(addition(A,B),X_303) != addition(A,addition(B,X_303))
| addition(addition(A,B),X_303) != addition(X_303,addition(A,addition(B,X_303)))
| addition(A,addition(B,X_303)) = addition(X_303,addition(A,addition(B,X_303))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(A,B),X_303),addition(X_303,addition(A,addition(B,X_303)))) ),[0],$fot(addition(A,addition(B,X_303)))]]) ).
cnf(refute_0_1411,plain,
( addition(addition(A,B),X_303) != addition(X_303,addition(A,addition(B,X_303)))
| addition(A,addition(B,X_303)) = addition(X_303,addition(A,addition(B,X_303))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),X_303),addition(A,addition(B,X_303))) )],[refute_0_1406,refute_0_1410]) ).
cnf(refute_0_1412,plain,
addition(A,addition(B,X_303)) = addition(X_303,addition(A,addition(B,X_303))),
inference(resolve,[$cnf( $equal(addition(addition(A,B),X_303),addition(X_303,addition(A,addition(B,X_303)))) )],[refute_0_1409,refute_0_1411]) ).
cnf(refute_0_1413,plain,
addition(A,addition(B,multiplication(domain(X_995),B))) = addition(multiplication(domain(X_995),B),addition(A,addition(B,multiplication(domain(X_995),B)))),
inference(subst,[],[refute_0_1412:[bind(X_303,$fot(multiplication(domain(X_995),B)))]]) ).
cnf(refute_0_1414,plain,
B = addition(B,multiplication(domain(X_995),B)),
inference(subst,[],[refute_0_576:[bind(X0,$fot(X_995)),bind(X_293,$fot(B))]]) ).
cnf(refute_0_1415,plain,
( B != addition(B,multiplication(domain(X_995),B))
| addition(B,multiplication(domain(X_995),B)) = B ),
inference(subst,[],[refute_0_13:[bind(X,$fot(B)),bind(Y,$fot(addition(B,multiplication(domain(X_995),B))))]]) ).
cnf(refute_0_1416,plain,
addition(B,multiplication(domain(X_995),B)) = B,
inference(resolve,[$cnf( $equal(B,addition(B,multiplication(domain(X_995),B))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( addition(A,addition(B,multiplication(domain(X_995),B))) != addition(multiplication(domain(X_995),B),addition(A,addition(B,multiplication(domain(X_995),B))))
| addition(B,multiplication(domain(X_995),B)) != B
| addition(A,addition(B,multiplication(domain(X_995),B))) = addition(multiplication(domain(X_995),B),addition(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,multiplication(domain(X_995),B))),addition(multiplication(domain(X_995),B),addition(A,addition(B,multiplication(domain(X_995),B))))) ),[1,1,1],$fot(B)]]) ).
cnf(refute_0_1418,plain,
( addition(A,addition(B,multiplication(domain(X_995),B))) != addition(multiplication(domain(X_995),B),addition(A,addition(B,multiplication(domain(X_995),B))))
| addition(A,addition(B,multiplication(domain(X_995),B))) = addition(multiplication(domain(X_995),B),addition(A,B)) ),
inference(resolve,[$cnf( $equal(addition(B,multiplication(domain(X_995),B)),B) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
addition(A,addition(B,multiplication(domain(X_995),B))) = addition(multiplication(domain(X_995),B),addition(A,B)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,multiplication(domain(X_995),B))),addition(multiplication(domain(X_995),B),addition(A,addition(B,multiplication(domain(X_995),B))))) )],[refute_0_1413,refute_0_1418]) ).
cnf(refute_0_1420,plain,
addition(A,addition(B,multiplication(domain(X_995),B))) = addition(A,addition(B,multiplication(domain(X_995),B))),
introduced(tautology,[refl,[$fot(addition(A,addition(B,multiplication(domain(X_995),B))))]]) ).
cnf(refute_0_1421,plain,
( addition(A,addition(B,multiplication(domain(X_995),B))) != addition(A,addition(B,multiplication(domain(X_995),B)))
| addition(B,multiplication(domain(X_995),B)) != B
| addition(A,addition(B,multiplication(domain(X_995),B))) = addition(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,multiplication(domain(X_995),B))),addition(A,addition(B,multiplication(domain(X_995),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_1422,plain,
( addition(B,multiplication(domain(X_995),B)) != B
| addition(A,addition(B,multiplication(domain(X_995),B))) = addition(A,B) ),
inference(resolve,[$cnf( $equal(addition(A,addition(B,multiplication(domain(X_995),B))),addition(A,addition(B,multiplication(domain(X_995),B)))) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
addition(A,addition(B,multiplication(domain(X_995),B))) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(B,multiplication(domain(X_995),B)),B) )],[refute_0_1416,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( addition(A,addition(B,multiplication(domain(X_995),B))) != addition(A,B)
| addition(A,addition(B,multiplication(domain(X_995),B))) != addition(multiplication(domain(X_995),B),addition(A,B))
| addition(A,B) = addition(multiplication(domain(X_995),B),addition(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,addition(B,multiplication(domain(X_995),B))),addition(multiplication(domain(X_995),B),addition(A,B))) ),[0],$fot(addition(A,B))]]) ).
cnf(refute_0_1425,plain,
( addition(A,addition(B,multiplication(domain(X_995),B))) != addition(multiplication(domain(X_995),B),addition(A,B))
| addition(A,B) = addition(multiplication(domain(X_995),B),addition(A,B)) ),
inference(resolve,[$cnf( $equal(addition(A,addition(B,multiplication(domain(X_995),B))),addition(A,B)) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
addition(X_69,addition(X_70,A)) = addition(X_70,addition(X_69,A)),
inference(subst,[],[refute_0_505:[bind(X_71,$fot(A))]]) ).
cnf(refute_0_1427,plain,
( addition(A,addition(X_69,X_70)) != addition(X_69,addition(X_70,A))
| addition(X_69,addition(X_70,A)) != addition(X_70,addition(X_69,A))
| addition(A,addition(X_69,X_70)) = addition(X_70,addition(X_69,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_69,X_70)),addition(X_70,addition(X_69,A))) ),[0],$fot(addition(X_69,addition(X_70,A)))]]) ).
cnf(refute_0_1428,plain,
( addition(A,addition(X_69,X_70)) != addition(X_69,addition(X_70,A))
| addition(A,addition(X_69,X_70)) = addition(X_70,addition(X_69,A)) ),
inference(resolve,[$cnf( $equal(addition(X_69,addition(X_70,A)),addition(X_70,addition(X_69,A))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
addition(A,addition(X_69,X_70)) = addition(X_70,addition(X_69,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_69,X_70)),addition(X_69,addition(X_70,A))) )],[refute_0_140,refute_0_1428]) ).
cnf(refute_0_1430,plain,
( addition(A,addition(X_69,X_70)) != addition(X_70,addition(X_69,A))
| addition(X_70,addition(X_69,A)) = addition(A,addition(X_69,X_70)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,addition(X_69,X_70)))),bind(Y,$fot(addition(X_70,addition(X_69,A))))]]) ).
cnf(refute_0_1431,plain,
addition(X_70,addition(X_69,A)) = addition(A,addition(X_69,X_70)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_69,X_70)),addition(X_70,addition(X_69,A))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
addition(multiplication(domain(X_995),B),addition(A,B)) = addition(B,addition(A,multiplication(domain(X_995),B))),
inference(subst,[],[refute_0_1431:[bind(A,$fot(B)),bind(X_69,$fot(A)),bind(X_70,$fot(multiplication(domain(X_995),B)))]]) ).
cnf(refute_0_1433,plain,
( addition(A,B) != addition(multiplication(domain(X_995),B),addition(A,B))
| addition(multiplication(domain(X_995),B),addition(A,B)) != addition(B,addition(A,multiplication(domain(X_995),B)))
| addition(A,B) = addition(B,addition(A,multiplication(domain(X_995),B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,B),addition(B,addition(A,multiplication(domain(X_995),B)))) ),[0],$fot(addition(multiplication(domain(X_995),B),addition(A,B)))]]) ).
cnf(refute_0_1434,plain,
( addition(A,B) != addition(multiplication(domain(X_995),B),addition(A,B))
| addition(A,B) = addition(B,addition(A,multiplication(domain(X_995),B))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_995),B),addition(A,B)),addition(B,addition(A,multiplication(domain(X_995),B)))) )],[refute_0_1432,refute_0_1433]) ).
cnf(refute_0_1435,plain,
( addition(A,addition(B,multiplication(domain(X_995),B))) != addition(multiplication(domain(X_995),B),addition(A,B))
| addition(A,B) = addition(B,addition(A,multiplication(domain(X_995),B))) ),
inference(resolve,[$cnf( $equal(addition(A,B),addition(multiplication(domain(X_995),B),addition(A,B))) )],[refute_0_1425,refute_0_1434]) ).
cnf(refute_0_1436,plain,
addition(A,B) = addition(B,addition(A,multiplication(domain(X_995),B))),
inference(resolve,[$cnf( $equal(addition(A,addition(B,multiplication(domain(X_995),B))),addition(multiplication(domain(X_995),B),addition(A,B))) )],[refute_0_1419,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( addition(A,B) != addition(B,addition(A,multiplication(domain(X_995),B)))
| addition(B,addition(A,multiplication(domain(X_995),B))) = addition(A,B) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,addition(A,multiplication(domain(X_995),B)))))]]) ).
cnf(refute_0_1438,plain,
addition(B,addition(A,multiplication(domain(X_995),B))) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,addition(A,multiplication(domain(X_995),B)))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))) = addition(X_71,X_655),
inference(subst,[],[refute_0_1438:[bind(A,$fot(X_71)),bind(B,$fot(X_655)),bind(X_995,$fot(addition(X_655,X_71)))]]) ).
cnf(refute_0_1440,plain,
( addition(X_655,X_71) != addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655)))
| addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))) != addition(X_71,X_655)
| addition(X_655,X_71) = addition(X_71,X_655) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_655,X_71),addition(X_71,X_655)) ),[0],$fot(addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))))]]) ).
cnf(refute_0_1441,plain,
( addition(X_655,X_71) != addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655)))
| addition(X_655,X_71) = addition(X_71,X_655) ),
inference(resolve,[$cnf( $equal(addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655))),addition(X_71,X_655)) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
addition(X_655,X_71) = addition(X_71,X_655),
inference(resolve,[$cnf( $equal(addition(X_655,X_71),addition(X_655,addition(X_71,multiplication(domain(addition(X_655,X_71)),X_655)))) )],[refute_0_1402,refute_0_1441]) ).
cnf(refute_0_1443,plain,
( addition(X_655,X_71) != addition(X_71,X_655)
| addition(X_71,X_655) = addition(X_655,X_71) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_655,X_71))),bind(Y,$fot(addition(X_71,X_655)))]]) ).
cnf(refute_0_1444,plain,
addition(X_71,X_655) = addition(X_655,X_71),
inference(resolve,[$cnf( $equal(addition(X_655,X_71),addition(X_71,X_655)) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) = addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274))),
inference(subst,[],[refute_0_1444:[bind(X_655,$fot(zero)),bind(X_71,$fot(multiplication(domain(antidomain(X_1274)),domain(X_1274))))]]) ).
cnf(refute_0_1446,plain,
( addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) != addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274)))
| addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274))) != multiplication(domain(antidomain(X_1274)),domain(X_1274))
| addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) = multiplication(domain(antidomain(X_1274)),domain(X_1274)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero))),bind(Y,$fot(addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274))))),bind(Z,$fot(multiplication(domain(antidomain(X_1274)),domain(X_1274))))]]) ).
cnf(refute_0_1447,plain,
( addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274))) != multiplication(domain(antidomain(X_1274)),domain(X_1274))
| addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) = multiplication(domain(antidomain(X_1274)),domain(X_1274)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero),addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274)))) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) = multiplication(domain(antidomain(X_1274)),domain(X_1274)),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(domain(antidomain(X_1274)),domain(X_1274))),multiplication(domain(antidomain(X_1274)),domain(X_1274))) )],[refute_0_1389,refute_0_1447]) ).
cnf(refute_0_1449,plain,
multiplication(domain(addition(X_20,X_21)),antidomain(addition(X_20,X_21))) = zero,
inference(subst,[],[refute_0_961:[bind(X1,$fot(addition(X_20,X_21)))]]) ).
cnf(refute_0_1450,plain,
( domain(addition(X_20,X_21)) != domain(addition(X_21,X_20))
| multiplication(domain(addition(X_20,X_21)),antidomain(addition(X_20,X_21))) != zero
| multiplication(domain(addition(X_21,X_20)),antidomain(addition(X_20,X_21))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_20,X_21)),antidomain(addition(X_20,X_21))),zero) ),[0,0],$fot(domain(addition(X_21,X_20)))]]) ).
cnf(refute_0_1451,plain,
( multiplication(domain(addition(X_20,X_21)),antidomain(addition(X_20,X_21))) != zero
| multiplication(domain(addition(X_21,X_20)),antidomain(addition(X_20,X_21))) = zero ),
inference(resolve,[$cnf( $equal(domain(addition(X_20,X_21)),domain(addition(X_21,X_20))) )],[refute_0_20,refute_0_1450]) ).
cnf(refute_0_1452,plain,
multiplication(domain(addition(X_21,X_20)),antidomain(addition(X_20,X_21))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_20,X_21)),antidomain(addition(X_20,X_21))),zero) )],[refute_0_1449,refute_0_1451]) ).
cnf(refute_0_1453,plain,
multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,addition(X_20,X_411)))) = zero,
inference(subst,[],[refute_0_1452:[bind(X_21,$fot(addition(X_20,X_411)))]]) ).
cnf(refute_0_1454,plain,
addition(X_20,addition(X_20,X_411)) = addition(X_20,X_411),
inference(subst,[],[refute_0_158:[bind(X_70,$fot(X_20)),bind(X_71,$fot(X_411))]]) ).
cnf(refute_0_1455,plain,
( addition(X_20,addition(X_20,X_411)) != addition(X_20,X_411)
| multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,addition(X_20,X_411)))) != zero
| multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,addition(X_20,X_411)))),zero) ),[0,1,0],$fot(addition(X_20,X_411))]]) ).
cnf(refute_0_1456,plain,
( multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,addition(X_20,X_411)))) != zero
| multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))) = zero ),
inference(resolve,[$cnf( $equal(addition(X_20,addition(X_20,X_411)),addition(X_20,X_411)) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,addition(X_20,X_411)))),zero) )],[refute_0_1453,refute_0_1456]) ).
cnf(refute_0_1458,plain,
multiplication(addition(domain(X_380),domain(X1)),antidomain(X_380)) = multiplication(domain(X1),antidomain(X_380)),
inference(subst,[],[refute_0_1123:[bind(X1,$fot(X_380)),bind(X_106,$fot(domain(X1)))]]) ).
cnf(refute_0_1459,plain,
domain(addition(X_380,X1)) = addition(domain(X_380),domain(X1)),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_380))]]) ).
cnf(refute_0_1460,plain,
( domain(addition(X_380,X1)) != addition(domain(X_380),domain(X1))
| addition(domain(X_380),domain(X1)) = domain(addition(X_380,X1)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(addition(X_380,X1)))),bind(Y,$fot(addition(domain(X_380),domain(X1))))]]) ).
cnf(refute_0_1461,plain,
addition(domain(X_380),domain(X1)) = domain(addition(X_380,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_380,X1)),addition(domain(X_380),domain(X1))) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
( addition(domain(X_380),domain(X1)) != domain(addition(X_380,X1))
| multiplication(addition(domain(X_380),domain(X1)),antidomain(X_380)) != multiplication(domain(X1),antidomain(X_380))
| multiplication(domain(addition(X_380,X1)),antidomain(X_380)) = multiplication(domain(X1),antidomain(X_380)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_380),domain(X1)),antidomain(X_380)),multiplication(domain(X1),antidomain(X_380))) ),[0,0],$fot(domain(addition(X_380,X1)))]]) ).
cnf(refute_0_1463,plain,
( multiplication(addition(domain(X_380),domain(X1)),antidomain(X_380)) != multiplication(domain(X1),antidomain(X_380))
| multiplication(domain(addition(X_380,X1)),antidomain(X_380)) = multiplication(domain(X1),antidomain(X_380)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_380),domain(X1)),domain(addition(X_380,X1))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
multiplication(domain(addition(X_380,X1)),antidomain(X_380)) = multiplication(domain(X1),antidomain(X_380)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_380),domain(X1)),antidomain(X_380)),multiplication(domain(X1),antidomain(X_380))) )],[refute_0_1458,refute_0_1463]) ).
cnf(refute_0_1465,plain,
multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))) = multiplication(domain(X_20),antidomain(addition(X_20,X_411))),
inference(subst,[],[refute_0_1464:[bind(X1,$fot(X_20)),bind(X_380,$fot(addition(X_20,X_411)))]]) ).
cnf(refute_0_1466,plain,
( multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))) != multiplication(domain(X_20),antidomain(addition(X_20,X_411)))
| multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))) != zero
| multiplication(domain(X_20),antidomain(addition(X_20,X_411))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))),zero) ),[0],$fot(multiplication(domain(X_20),antidomain(addition(X_20,X_411))))]]) ).
cnf(refute_0_1467,plain,
( multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))) != zero
| multiplication(domain(X_20),antidomain(addition(X_20,X_411))) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))),multiplication(domain(X_20),antidomain(addition(X_20,X_411)))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
multiplication(domain(X_20),antidomain(addition(X_20,X_411))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(addition(addition(X_20,X_411),X_20)),antidomain(addition(X_20,X_411))),zero) )],[refute_0_1457,refute_0_1467]) ).
cnf(refute_0_1469,plain,
multiplication(domain(X_414),antidomain(addition(X_414,addition(X_70,X_414)))) = zero,
inference(subst,[],[refute_0_1468:[bind(X_20,$fot(X_414)),bind(X_411,$fot(addition(X_70,X_414)))]]) ).
cnf(refute_0_1470,plain,
addition(X_70,X_414) = addition(X_414,addition(X_70,X_414)),
inference(subst,[],[refute_0_165:[bind(X_71,$fot(X_414))]]) ).
cnf(refute_0_1471,plain,
( addition(X_70,X_414) != addition(X_414,addition(X_70,X_414))
| addition(X_414,addition(X_70,X_414)) = addition(X_70,X_414) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(addition(X_70,X_414))),bind(Y,$fot(addition(X_414,addition(X_70,X_414))))]]) ).
cnf(refute_0_1472,plain,
addition(X_414,addition(X_70,X_414)) = addition(X_70,X_414),
inference(resolve,[$cnf( $equal(addition(X_70,X_414),addition(X_414,addition(X_70,X_414))) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
( addition(X_414,addition(X_70,X_414)) != addition(X_70,X_414)
| multiplication(domain(X_414),antidomain(addition(X_414,addition(X_70,X_414)))) != zero
| multiplication(domain(X_414),antidomain(addition(X_70,X_414))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_414),antidomain(addition(X_414,addition(X_70,X_414)))),zero) ),[0,1,0],$fot(addition(X_70,X_414))]]) ).
cnf(refute_0_1474,plain,
( multiplication(domain(X_414),antidomain(addition(X_414,addition(X_70,X_414)))) != zero
| multiplication(domain(X_414),antidomain(addition(X_70,X_414))) = zero ),
inference(resolve,[$cnf( $equal(addition(X_414,addition(X_70,X_414)),addition(X_70,X_414)) )],[refute_0_1472,refute_0_1473]) ).
cnf(refute_0_1475,plain,
multiplication(domain(X_414),antidomain(addition(X_70,X_414))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X_414),antidomain(addition(X_414,addition(X_70,X_414)))),zero) )],[refute_0_1469,refute_0_1474]) ).
cnf(refute_0_1476,plain,
multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(addition(X_70,multiplication(domain(X_995),X_70)))) = zero,
inference(subst,[],[refute_0_1475:[bind(X_414,$fot(multiplication(domain(X_995),X_70)))]]) ).
cnf(refute_0_1477,plain,
X_70 = addition(X_70,multiplication(domain(X_995),X_70)),
inference(subst,[],[refute_0_576:[bind(X0,$fot(X_995)),bind(X_293,$fot(X_70))]]) ).
cnf(refute_0_1478,plain,
( X_70 != addition(X_70,multiplication(domain(X_995),X_70))
| addition(X_70,multiplication(domain(X_995),X_70)) = X_70 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_70)),bind(Y,$fot(addition(X_70,multiplication(domain(X_995),X_70))))]]) ).
cnf(refute_0_1479,plain,
addition(X_70,multiplication(domain(X_995),X_70)) = X_70,
inference(resolve,[$cnf( $equal(X_70,addition(X_70,multiplication(domain(X_995),X_70))) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
( addition(X_70,multiplication(domain(X_995),X_70)) != X_70
| multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(addition(X_70,multiplication(domain(X_995),X_70)))) != zero
| multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(X_70)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(addition(X_70,multiplication(domain(X_995),X_70)))),zero) ),[0,1,0],$fot(X_70)]]) ).
cnf(refute_0_1481,plain,
( multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(addition(X_70,multiplication(domain(X_995),X_70)))) != zero
| multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(X_70)) = zero ),
inference(resolve,[$cnf( $equal(addition(X_70,multiplication(domain(X_995),X_70)),X_70) )],[refute_0_1479,refute_0_1480]) ).
cnf(refute_0_1482,plain,
multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(X_70)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(X_995),X_70)),antidomain(addition(X_70,multiplication(domain(X_995),X_70)))),zero) )],[refute_0_1476,refute_0_1481]) ).
cnf(refute_0_1483,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)) = zero,
inference(subst,[],[refute_0_1482:[bind(X_70,$fot(X_1274)),bind(X_995,$fot(antidomain(X_1274)))]]) ).
cnf(refute_0_1484,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) = multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)),
introduced(tautology,[refl,[$fot(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))]]) ).
cnf(refute_0_1485,plain,
( domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))) != domain(multiplication(domain(antidomain(X_1274)),X_1274))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) != multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) = multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) ),[1,0],$fot(domain(multiplication(domain(antidomain(X_1274)),X_1274)))]]) ).
cnf(refute_0_1486,plain,
( domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))) != domain(multiplication(domain(antidomain(X_1274)),X_1274))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) = multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) = multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(multiplication(domain(antidomain(X_1274)),X_1274))) )],[refute_0_1325,refute_0_1486]) ).
cnf(refute_0_1488,plain,
( multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)) != zero
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) != multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) = zero ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))),bind(Y,$fot(multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1489,plain,
( multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)) != zero
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274))) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),X_1274)),antidomain(X_1274)),zero) )],[refute_0_1483,refute_0_1489]) ).
cnf(refute_0_1491,plain,
addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))),
introduced(tautology,[refl,[$fot(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))))]]) ).
cnf(refute_0_1492,plain,
( addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) != zero
| addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1493,plain,
( multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)) != zero
| addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) = addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)),zero) )],[refute_0_1490,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero)
| addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) != multiplication(domain(antidomain(X_1274)),domain(X_1274))
| addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) = multiplication(domain(antidomain(X_1274)),domain(X_1274)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))))),bind(Y,$fot(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero))),bind(Z,$fot(multiplication(domain(antidomain(X_1274)),domain(X_1274))))]]) ).
cnf(refute_0_1496,plain,
( addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero) != multiplication(domain(antidomain(X_1274)),domain(X_1274))
| addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) = multiplication(domain(antidomain(X_1274)),domain(X_1274)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero)) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) = multiplication(domain(antidomain(X_1274)),domain(X_1274)),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),zero),multiplication(domain(antidomain(X_1274)),domain(X_1274))) )],[refute_0_1448,refute_0_1496]) ).
cnf(refute_0_1498,plain,
( addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))) != multiplication(domain(antidomain(X_1274)),domain(X_1274))
| domain(multiplication(domain(antidomain(X_1274)),X_1274)) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| domain(multiplication(domain(antidomain(X_1274)),X_1274)) = multiplication(domain(antidomain(X_1274)),domain(X_1274)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(antidomain(X_1274)),X_1274)),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) ),[1],$fot(multiplication(domain(antidomain(X_1274)),domain(X_1274)))]]) ).
cnf(refute_0_1499,plain,
( domain(multiplication(domain(antidomain(X_1274)),X_1274)) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| domain(multiplication(domain(antidomain(X_1274)),X_1274)) = multiplication(domain(antidomain(X_1274)),domain(X_1274)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274))),multiplication(domain(antidomain(X_1274)),domain(X_1274))) )],[refute_0_1497,refute_0_1498]) ).
cnf(refute_0_1500,plain,
( multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))) != addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))
| domain(multiplication(domain(antidomain(X_1274)),X_1274)) = multiplication(domain(antidomain(X_1274)),domain(X_1274)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_1274)),X_1274)),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) )],[refute_0_1388,refute_0_1499]) ).
cnf(refute_0_1501,plain,
domain(multiplication(domain(antidomain(X_1274)),X_1274)) = multiplication(domain(antidomain(X_1274)),domain(X_1274)),
inference(resolve,[$cnf( $equal(multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),domain(antidomain(X_1274))),addition(multiplication(domain(antidomain(X_1274)),domain(X_1274)),multiplication(domain(multiplication(domain(antidomain(X_1274)),domain(X_1274))),antidomain(X_1274)))) )],[refute_0_1322,refute_0_1500]) ).
cnf(refute_0_1502,plain,
( domain(multiplication(domain(antidomain(X_1274)),X_1274)) != multiplication(domain(antidomain(X_1274)),domain(X_1274))
| multiplication(domain(antidomain(X_1274)),domain(X_1274)) = domain(multiplication(domain(antidomain(X_1274)),X_1274)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(domain(multiplication(domain(antidomain(X_1274)),X_1274)))),bind(Y,$fot(multiplication(domain(antidomain(X_1274)),domain(X_1274))))]]) ).
cnf(refute_0_1503,plain,
multiplication(domain(antidomain(X_1274)),domain(X_1274)) = domain(multiplication(domain(antidomain(X_1274)),X_1274)),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(X_1274)),X_1274)),multiplication(domain(antidomain(X_1274)),domain(X_1274))) )],[refute_0_1501,refute_0_1502]) ).
cnf(refute_0_1504,plain,
multiplication(domain(antidomain(X1)),domain(X1)) = domain(multiplication(domain(antidomain(X1)),X1)),
inference(subst,[],[refute_0_1503:[bind(X_1274,$fot(X1))]]) ).
cnf(refute_0_1505,plain,
multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))))]]) ).
cnf(refute_0_1506,plain,
( multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) != multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(antidomain(X1)),domain(X1)) != domain(multiplication(domain(antidomain(X1)),X1))
| multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))),multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) ),[1,1],$fot(domain(multiplication(domain(antidomain(X1)),X1)))]]) ).
cnf(refute_0_1507,plain,
( multiplication(domain(antidomain(X1)),domain(X1)) != domain(multiplication(domain(antidomain(X1)),X1))
| multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))),multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X1)),domain(X1)),domain(multiplication(domain(antidomain(X1)),X1))) )],[refute_0_1504,refute_0_1507]) ).
cnf(refute_0_1509,plain,
( multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))) != domain(multiplication(domain(antidomain(X1)),X1))
| multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) != multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1)))
| multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = domain(multiplication(domain(antidomain(X1)),X1)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))))),bind(Y,$fot(multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))))),bind(Z,$fot(domain(multiplication(domain(antidomain(X1)),X1))))]]) ).
cnf(refute_0_1510,plain,
( multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))) != domain(multiplication(domain(antidomain(X1)),X1))
| multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = domain(multiplication(domain(antidomain(X1)),X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))),multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1)))) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) = domain(multiplication(domain(antidomain(X1)),X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),domain(multiplication(domain(antidomain(X1)),X1))),domain(multiplication(domain(antidomain(X1)),X1))) )],[refute_0_1306,refute_0_1510]) ).
cnf(refute_0_1512,plain,
( multiplication(domain(X1),domain(antidomain(X1))) != multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))) != domain(multiplication(domain(antidomain(X1)),X1))
| multiplication(domain(X1),domain(antidomain(X1))) = domain(multiplication(domain(antidomain(X1)),X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(domain(X1),domain(antidomain(X1))),domain(multiplication(domain(antidomain(X1)),X1))) ),[0],$fot(multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))))]]) ).
cnf(refute_0_1513,plain,
( multiplication(domain(X1),domain(antidomain(X1))) != multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))
| multiplication(domain(X1),domain(antidomain(X1))) = domain(multiplication(domain(antidomain(X1)),X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1))),domain(multiplication(domain(antidomain(X1)),X1))) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
multiplication(domain(X1),domain(antidomain(X1))) = domain(multiplication(domain(antidomain(X1)),X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),domain(antidomain(X1))),multiplication(domain(X1),multiplication(domain(antidomain(X1)),domain(X1)))) )],[refute_0_1283,refute_0_1513]) ).
cnf(refute_0_1515,plain,
multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))) = domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))),
inference(subst,[],[refute_0_1514:[bind(X1,$fot(antidomain(X_1023)))]]) ).
cnf(refute_0_1516,plain,
addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) = addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))),
introduced(tautology,[refl,[$fot(addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))))]]) ).
cnf(refute_0_1517,plain,
( addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) != addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))
| multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))) != domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))
| addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) = addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) ),[1,1],$fot(domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))]]) ).
cnf(refute_0_1518,plain,
( multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))) != domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))
| addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) = addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) = addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) )],[refute_0_1515,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))) != addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))
| domain(antidomain(X_1023)) != addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))
| domain(antidomain(X_1023)) = addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_1023)),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) ),[1],$fot(addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))))]]) ).
cnf(refute_0_1521,plain,
( domain(antidomain(X_1023)) != addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))
| domain(antidomain(X_1023)) = addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023))))),addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
domain(antidomain(X_1023)) = addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1023)),addition(antidomain(X_1023),multiplication(domain(antidomain(X_1023)),domain(antidomain(antidomain(X_1023)))))) )],[refute_0_1269,refute_0_1521]) ).
cnf(refute_0_1523,plain,
addition(zero,antidomain(X_1023)) = antidomain(X_1023),
inference(subst,[],[refute_0_32:[bind(A,$fot(antidomain(X_1023)))]]) ).
cnf(refute_0_1524,plain,
addition(antidomain(X_1023),zero) = addition(zero,antidomain(X_1023)),
inference(subst,[],[refute_0_1444:[bind(X_655,$fot(zero)),bind(X_71,$fot(antidomain(X_1023)))]]) ).
cnf(refute_0_1525,plain,
( addition(antidomain(X_1023),zero) != addition(zero,antidomain(X_1023))
| addition(zero,antidomain(X_1023)) != antidomain(X_1023)
| addition(antidomain(X_1023),zero) = antidomain(X_1023) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(antidomain(X_1023),zero))),bind(Y,$fot(addition(zero,antidomain(X_1023)))),bind(Z,$fot(antidomain(X_1023)))]]) ).
cnf(refute_0_1526,plain,
( addition(zero,antidomain(X_1023)) != antidomain(X_1023)
| addition(antidomain(X_1023),zero) = antidomain(X_1023) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),zero),addition(zero,antidomain(X_1023))) )],[refute_0_1524,refute_0_1525]) ).
cnf(refute_0_1527,plain,
addition(antidomain(X_1023),zero) = antidomain(X_1023),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(X_1023)),antidomain(X_1023)) )],[refute_0_1523,refute_0_1526]) ).
cnf(refute_0_1528,plain,
domain(zero) = zero,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_1529,plain,
multiplication(domain(X_1023),antidomain(X_1023)) = zero,
inference(subst,[],[refute_0_961:[bind(X1,$fot(X_1023))]]) ).
cnf(refute_0_1530,plain,
multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))),
inference(subst,[],[refute_0_1464:[bind(X1,$fot(domain(X1))),bind(X_380,$fot(antidomain(X1)))]]) ).
cnf(refute_0_1531,plain,
( addition(antidomain(X1),domain(X1)) != one
| multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_1532,plain,
( multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X1),domain(X1)),one) )],[refute_0_107,refute_0_1531]) ).
cnf(refute_0_1533,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(antidomain(X1),domain(X1))),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_1530,refute_0_1532]) ).
cnf(refute_0_1534,plain,
multiplication(one,antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(subst,[],[refute_0_52:[bind(A,$fot(antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1535,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(domain(one),antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(one),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1536,plain,
( domain(one) != one
| multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(one),antidomain(antidomain(X1)))
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(one,antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(one),antidomain(antidomain(X1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1537,plain,
( domain(one) != one
| multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(one,antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(one),antidomain(antidomain(X1)))) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = multiplication(one,antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_191,refute_0_1537]) ).
cnf(refute_0_1539,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(one,antidomain(antidomain(X1)))
| multiplication(one,antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| multiplication(domain(one),antidomain(antidomain(X1))) = antidomain(antidomain(X1)) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(one),antidomain(antidomain(X1))))),bind(Y,$fot(multiplication(one,antidomain(antidomain(X1))))),bind(Z,$fot(antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1540,plain,
( multiplication(one,antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| multiplication(domain(one),antidomain(antidomain(X1))) = antidomain(antidomain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(one,antidomain(antidomain(X1)))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
multiplication(domain(one),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(antidomain(X1))),antidomain(antidomain(X1))) )],[refute_0_1534,refute_0_1540]) ).
cnf(refute_0_1542,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) ),[0],$fot(antidomain(antidomain(X1)))]]) ).
cnf(refute_0_1543,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),antidomain(antidomain(X1))) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(domain(X1)),antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(domain(X1)),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1545,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) ),[1,0],$fot(domain(X1))]]) ).
cnf(refute_0_1546,plain,
( domain(domain(X1)) != domain(X1)
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
multiplication(domain(domain(X1)),antidomain(antidomain(X1))) = multiplication(domain(X1),antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(domain(domain(X1)),domain(X1)) )],[refute_0_1238,refute_0_1546]) ).
cnf(refute_0_1548,plain,
( antidomain(antidomain(X1)) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| multiplication(domain(domain(X1)),antidomain(antidomain(X1))) != multiplication(domain(X1),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(antidomain(X1)),multiplication(domain(X1),antidomain(antidomain(X1)))) ),[0],$fot(multiplication(domain(domain(X1)),antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1549,plain,
( antidomain(antidomain(X1)) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X1)),antidomain(antidomain(X1))),multiplication(domain(X1),antidomain(antidomain(X1)))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
( multiplication(domain(one),antidomain(antidomain(X1))) != multiplication(domain(domain(X1)),antidomain(antidomain(X1)))
| antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_1543,refute_0_1549]) ).
cnf(refute_0_1551,plain,
antidomain(antidomain(X1)) = multiplication(domain(X1),antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(one),antidomain(antidomain(X1))),multiplication(domain(domain(X1)),antidomain(antidomain(X1)))) )],[refute_0_1533,refute_0_1550]) ).
cnf(refute_0_1552,plain,
( antidomain(antidomain(X1)) != multiplication(domain(X1),antidomain(antidomain(X1)))
| multiplication(domain(X1),antidomain(antidomain(X1))) = antidomain(antidomain(X1)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(antidomain(antidomain(X1)))),bind(Y,$fot(multiplication(domain(X1),antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_1553,plain,
multiplication(domain(X1),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),multiplication(domain(X1),antidomain(antidomain(X1)))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(multiplication(domain(X1),antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(X1),antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_1555,plain,
( domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(multiplication(domain(X1),antidomain(antidomain(X1))))
| multiplication(domain(X1),antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(antidomain(antidomain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(multiplication(domain(X1),antidomain(antidomain(X1))))) ),[1,0],$fot(antidomain(antidomain(X1)))]]) ).
cnf(refute_0_1556,plain,
( multiplication(domain(X1),antidomain(antidomain(X1))) != antidomain(antidomain(X1))
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(antidomain(antidomain(X1))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(multiplication(domain(X1),antidomain(antidomain(X1))))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
domain(multiplication(domain(X1),antidomain(antidomain(X1)))) = domain(antidomain(antidomain(X1))),
inference(resolve,[$cnf( $equal(multiplication(domain(X1),antidomain(antidomain(X1))),antidomain(antidomain(X1))) )],[refute_0_1553,refute_0_1556]) ).
cnf(refute_0_1558,plain,
( domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(X1)
| domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(antidomain(antidomain(X1)))
| domain(antidomain(antidomain(X1))) = domain(X1) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(X1)) ),[0],$fot(domain(antidomain(antidomain(X1))))]]) ).
cnf(refute_0_1559,plain,
( domain(multiplication(domain(X1),antidomain(antidomain(X1)))) != domain(X1)
| domain(antidomain(antidomain(X1))) = domain(X1) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(antidomain(antidomain(X1)))) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
domain(antidomain(antidomain(X1))) = domain(X1),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(X1),antidomain(antidomain(X1)))),domain(X1)) )],[refute_0_1241,refute_0_1559]) ).
cnf(refute_0_1561,plain,
domain(antidomain(antidomain(X_1023))) = domain(X_1023),
inference(subst,[],[refute_0_1560:[bind(X1,$fot(X_1023))]]) ).
cnf(refute_0_1562,plain,
multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) = multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)),
introduced(tautology,[refl,[$fot(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))]]) ).
cnf(refute_0_1563,plain,
( domain(antidomain(antidomain(X_1023))) != domain(X_1023)
| multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) != multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))
| multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) = multiplication(domain(X_1023),antidomain(X_1023)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)),multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) ),[1,0],$fot(domain(X_1023))]]) ).
cnf(refute_0_1564,plain,
( domain(antidomain(antidomain(X_1023))) != domain(X_1023)
| multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) = multiplication(domain(X_1023),antidomain(X_1023)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)),multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) )],[refute_0_1562,refute_0_1563]) ).
cnf(refute_0_1565,plain,
multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) = multiplication(domain(X_1023),antidomain(X_1023)),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X_1023))),domain(X_1023)) )],[refute_0_1561,refute_0_1564]) ).
cnf(refute_0_1566,plain,
( multiplication(domain(X_1023),antidomain(X_1023)) != zero
| multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) != multiplication(domain(X_1023),antidomain(X_1023))
| multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) = zero ),
inference(subst,[],[refute_0_67:[bind(X,$fot(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),bind(Y,$fot(multiplication(domain(X_1023),antidomain(X_1023)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1567,plain,
( multiplication(domain(X_1023),antidomain(X_1023)) != zero
| multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)),multiplication(domain(X_1023),antidomain(X_1023))) )],[refute_0_1565,refute_0_1566]) ).
cnf(refute_0_1568,plain,
multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X_1023),antidomain(X_1023)),zero) )],[refute_0_1529,refute_0_1567]) ).
cnf(refute_0_1569,plain,
domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) = domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))),
introduced(tautology,[refl,[$fot(domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))]]) ).
cnf(refute_0_1570,plain,
( domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) != domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))
| multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) != zero
| domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1571,plain,
( multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)) != zero
| domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)),zero) )],[refute_0_1568,refute_0_1571]) ).
cnf(refute_0_1573,plain,
( domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) != domain(zero)
| domain(zero) != zero
| domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) = zero ),
inference(subst,[],[refute_0_67:[bind(X,$fot(domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1574,plain,
( domain(zero) != zero
| domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))),domain(zero)) )],[refute_0_1572,refute_0_1573]) ).
cnf(refute_0_1575,plain,
domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_1528,refute_0_1574]) ).
cnf(refute_0_1576,plain,
addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) = addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),
introduced(tautology,[refl,[$fot(addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))))]]) ).
cnf(refute_0_1577,plain,
( addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) != addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))
| domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) != zero
| addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) = addition(antidomain(X_1023),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1578,plain,
( domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))) != zero
| addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) = addition(antidomain(X_1023),zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))) )],[refute_0_1576,refute_0_1577]) ).
cnf(refute_0_1579,plain,
addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) = addition(antidomain(X_1023),zero),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))),zero) )],[refute_0_1575,refute_0_1578]) ).
cnf(refute_0_1580,plain,
( addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) != addition(antidomain(X_1023),zero)
| addition(antidomain(X_1023),zero) != antidomain(X_1023)
| addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) = antidomain(X_1023) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))))),bind(Y,$fot(addition(antidomain(X_1023),zero))),bind(Z,$fot(antidomain(X_1023)))]]) ).
cnf(refute_0_1581,plain,
( addition(antidomain(X_1023),zero) != antidomain(X_1023)
| addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) = antidomain(X_1023) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),addition(antidomain(X_1023),zero)) )],[refute_0_1579,refute_0_1580]) ).
cnf(refute_0_1582,plain,
addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) = antidomain(X_1023),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),zero),antidomain(X_1023)) )],[refute_0_1527,refute_0_1581]) ).
cnf(refute_0_1583,plain,
( addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))) != antidomain(X_1023)
| domain(antidomain(X_1023)) != addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))
| domain(antidomain(X_1023)) = antidomain(X_1023) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_1023)),addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))) ),[1],$fot(antidomain(X_1023))]]) ).
cnf(refute_0_1584,plain,
( domain(antidomain(X_1023)) != addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))
| domain(antidomain(X_1023)) = antidomain(X_1023) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023)))),antidomain(X_1023)) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
domain(antidomain(X_1023)) = antidomain(X_1023),
inference(resolve,[$cnf( $equal(domain(antidomain(X_1023)),addition(antidomain(X_1023),domain(multiplication(domain(antidomain(antidomain(X_1023))),antidomain(X_1023))))) )],[refute_0_1522,refute_0_1584]) ).
cnf(refute_0_1586,plain,
domain(antidomain(skolemFOFtoCNF_X0)) = antidomain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1585:[bind(X_1023,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1587,plain,
( antidomain(skolemFOFtoCNF_X0) != antidomain(skolemFOFtoCNF_X0)
| domain(antidomain(skolemFOFtoCNF_X0)) != antidomain(skolemFOFtoCNF_X0)
| domain(antidomain(skolemFOFtoCNF_X0)) = antidomain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X0)) ),[0,0],$fot(antidomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1588,plain,
( antidomain(skolemFOFtoCNF_X0) != antidomain(skolemFOFtoCNF_X0)
| domain(antidomain(skolemFOFtoCNF_X0)) = antidomain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(domain(antidomain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X0)) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
antidomain(skolemFOFtoCNF_X0) != antidomain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(domain(antidomain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X0)) )],[refute_0_1588,refute_0_0]) ).
cnf(refute_0_1590,plain,
antidomain(skolemFOFtoCNF_X0) = antidomain(skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(antidomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1591,plain,
$false,
inference(resolve,[$cnf( $equal(antidomain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X0)) )],[refute_0_1590,refute_0_1589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE078+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 10:26:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 132.42/132.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 132.42/132.57
% 132.42/132.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 132.55/132.71
%------------------------------------------------------------------------------