TSTP Solution File: KLE082+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:15:07 EDT 2022
% Result : Theorem 159.84s 160.03s
% Output : CNFRefutation 159.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 165
% Syntax : Number of formulae : 749 ( 400 unt; 0 def)
% Number of atoms : 1251 (1207 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1003 ( 501 ~; 490 |; 6 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 1180 ( 42 sgn 90 !; 4 ?)
% 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(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ).
fof(goals,conjecture,
! [X0,X1] :
( ! [X2] :
( addition(domain(X2),antidomain(X2)) = one
& multiplication(domain(X2),antidomain(X2)) = zero )
=> addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( ! [X2] :
( addition(domain(X2),antidomain(X2)) = one
& multiplication(domain(X2),antidomain(X2)) = zero )
=> addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( ! [X2] :
( addition(domain(X2),antidomain(X2)) = one
& multiplication(domain(X2),antidomain(X2)) = zero )
=> addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
& ! [X2] : addition(domain(X2),antidomain(X2)) = one
& ! [X2] : multiplication(domain(X2),antidomain(X2)) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1))),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
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,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_6,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X2] : multiplication(domain(X2),antidomain(X2)) = zero,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
! [X2] : multiplication(domain(X2),antidomain(X2)) = zero,
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,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_14,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X2] : addition(domain(X2),antidomain(X2)) = one,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_16,plain,
! [X2] : addition(domain(X2),antidomain(X2)) = one,
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_18,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_20,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_22,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_24,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_26,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_28,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_30,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_32,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_33]) ).
cnf(refute_0_0,plain,
addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
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(X_119,addition(one,X_121)) = addition(multiplication(X_119,one),multiplication(X_119,X_121)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_119)),bind(B,$fot(one)),bind(C,$fot(X_121))]]) ).
cnf(refute_0_3,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
multiplication(X_119,one) = X_119,
inference(subst,[],[refute_0_3:[bind(A,$fot(X_119))]]) ).
cnf(refute_0_5,plain,
( multiplication(X_119,addition(one,X_121)) != addition(multiplication(X_119,one),multiplication(X_119,X_121))
| multiplication(X_119,one) != X_119
| multiplication(X_119,addition(one,X_121)) = addition(X_119,multiplication(X_119,X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_119,addition(one,X_121)),addition(multiplication(X_119,one),multiplication(X_119,X_121))) ),[1,0],$fot(X_119)]]) ).
cnf(refute_0_6,plain,
( multiplication(X_119,addition(one,X_121)) != addition(multiplication(X_119,one),multiplication(X_119,X_121))
| multiplication(X_119,addition(one,X_121)) = addition(X_119,multiplication(X_119,X_121)) ),
inference(resolve,[$cnf( $equal(multiplication(X_119,one),X_119) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
multiplication(X_119,addition(one,X_121)) = addition(X_119,multiplication(X_119,X_121)),
inference(resolve,[$cnf( $equal(multiplication(X_119,addition(one,X_121)),addition(multiplication(X_119,one),multiplication(X_119,X_121))) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = addition(antidomain(domain(X_144)),multiplication(antidomain(domain(X_144)),antidomain(X_144))),
inference(subst,[],[refute_0_7:[bind(X_119,$fot(antidomain(domain(X_144)))),bind(X_121,$fot(antidomain(X_144)))]]) ).
cnf(refute_0_9,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_10,plain,
multiplication(addition(domain(X2),X_127),antidomain(X2)) = addition(multiplication(domain(X2),antidomain(X2)),multiplication(X_127,antidomain(X2))),
inference(subst,[],[refute_0_9:[bind(A,$fot(domain(X2))),bind(B,$fot(X_127)),bind(C,$fot(antidomain(X2)))]]) ).
cnf(refute_0_11,plain,
multiplication(domain(X2),antidomain(X2)) = zero,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_12,plain,
( multiplication(addition(domain(X2),X_127),antidomain(X2)) != addition(multiplication(domain(X2),antidomain(X2)),multiplication(X_127,antidomain(X2)))
| multiplication(domain(X2),antidomain(X2)) != zero
| multiplication(addition(domain(X2),X_127),antidomain(X2)) = addition(zero,multiplication(X_127,antidomain(X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X2),X_127),antidomain(X2)),addition(multiplication(domain(X2),antidomain(X2)),multiplication(X_127,antidomain(X2)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_13,plain,
( multiplication(addition(domain(X2),X_127),antidomain(X2)) != addition(multiplication(domain(X2),antidomain(X2)),multiplication(X_127,antidomain(X2)))
| multiplication(addition(domain(X2),X_127),antidomain(X2)) = addition(zero,multiplication(X_127,antidomain(X2))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X2),antidomain(X2)),zero) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiplication(addition(domain(X2),X_127),antidomain(X2)) = addition(zero,multiplication(X_127,antidomain(X2))),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X2),X_127),antidomain(X2)),addition(multiplication(domain(X2),antidomain(X2)),multiplication(X_127,antidomain(X2)))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_16,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_17,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_16:[bind(B,$fot(zero))]]) ).
cnf(refute_0_18,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_19,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
addition(zero,multiplication(X_127,antidomain(X2))) = multiplication(X_127,antidomain(X2)),
inference(subst,[],[refute_0_20:[bind(A,$fot(multiplication(X_127,antidomain(X2))))]]) ).
cnf(refute_0_22,plain,
( addition(zero,multiplication(X_127,antidomain(X2))) != multiplication(X_127,antidomain(X2))
| multiplication(addition(domain(X2),X_127),antidomain(X2)) != addition(zero,multiplication(X_127,antidomain(X2)))
| multiplication(addition(domain(X2),X_127),antidomain(X2)) = multiplication(X_127,antidomain(X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X2),X_127),antidomain(X2)),addition(zero,multiplication(X_127,antidomain(X2)))) ),[1],$fot(multiplication(X_127,antidomain(X2)))]]) ).
cnf(refute_0_23,plain,
( multiplication(addition(domain(X2),X_127),antidomain(X2)) != addition(zero,multiplication(X_127,antidomain(X2)))
| multiplication(addition(domain(X2),X_127),antidomain(X2)) = multiplication(X_127,antidomain(X2)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_127,antidomain(X2))),multiplication(X_127,antidomain(X2))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiplication(addition(domain(X2),X_127),antidomain(X2)) = multiplication(X_127,antidomain(X2)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X2),X_127),antidomain(X2)),addition(zero,multiplication(X_127,antidomain(X2)))) )],[refute_0_14,refute_0_23]) ).
cnf(refute_0_25,plain,
multiplication(addition(domain(X_129),antidomain(domain(X_129))),antidomain(X_129)) = multiplication(antidomain(domain(X_129)),antidomain(X_129)),
inference(subst,[],[refute_0_24:[bind(X2,$fot(X_129)),bind(X_127,$fot(antidomain(domain(X_129))))]]) ).
cnf(refute_0_26,plain,
addition(domain(X2),antidomain(X2)) = one,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_27,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_28,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_29,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_31,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_16,refute_0_30]) ).
cnf(refute_0_32,plain,
addition(domain(X2),antidomain(X2)) = addition(antidomain(X2),domain(X2)),
inference(subst,[],[refute_0_31:[bind(A,$fot(antidomain(X2))),bind(B,$fot(domain(X2)))]]) ).
cnf(refute_0_33,plain,
( addition(domain(X2),antidomain(X2)) != addition(antidomain(X2),domain(X2))
| addition(domain(X2),antidomain(X2)) != one
| addition(antidomain(X2),domain(X2)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X2),antidomain(X2)),one) ),[0],$fot(addition(antidomain(X2),domain(X2)))]]) ).
cnf(refute_0_34,plain,
( addition(domain(X2),antidomain(X2)) != one
| addition(antidomain(X2),domain(X2)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X2),antidomain(X2)),addition(antidomain(X2),domain(X2))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
addition(antidomain(X2),domain(X2)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X2),antidomain(X2)),one) )],[refute_0_26,refute_0_34]) ).
cnf(refute_0_36,plain,
addition(antidomain(domain(X_31)),domain(domain(X_31))) = one,
inference(subst,[],[refute_0_35:[bind(X2,$fot(domain(X_31)))]]) ).
cnf(refute_0_37,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_38,plain,
domain(multiplication(one,X_30)) = domain(multiplication(one,domain(X_30))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(one)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_39,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_40,plain,
multiplication(one,domain(X_30)) = domain(X_30),
inference(subst,[],[refute_0_39:[bind(A,$fot(domain(X_30)))]]) ).
cnf(refute_0_41,plain,
( domain(multiplication(one,X_30)) != domain(multiplication(one,domain(X_30)))
| multiplication(one,domain(X_30)) != domain(X_30)
| domain(multiplication(one,X_30)) = domain(domain(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,domain(X_30)))) ),[1,0],$fot(domain(X_30))]]) ).
cnf(refute_0_42,plain,
( domain(multiplication(one,X_30)) != domain(multiplication(one,domain(X_30)))
| domain(multiplication(one,X_30)) = domain(domain(X_30)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_30)),domain(X_30)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
domain(multiplication(one,X_30)) = domain(domain(X_30)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,domain(X_30)))) )],[refute_0_38,refute_0_42]) ).
cnf(refute_0_44,plain,
multiplication(one,X_30) = X_30,
inference(subst,[],[refute_0_39:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_45,plain,
domain(multiplication(one,X_30)) = domain(multiplication(one,X_30)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_30)))]]) ).
cnf(refute_0_46,plain,
( domain(multiplication(one,X_30)) != domain(multiplication(one,X_30))
| multiplication(one,X_30) != X_30
| domain(multiplication(one,X_30)) = domain(X_30) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,X_30))) ),[1,0],$fot(X_30)]]) ).
cnf(refute_0_47,plain,
( multiplication(one,X_30) != X_30
| domain(multiplication(one,X_30)) = domain(X_30) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(multiplication(one,X_30))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
domain(multiplication(one,X_30)) = domain(X_30),
inference(resolve,[$cnf( $equal(multiplication(one,X_30),X_30) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
( domain(multiplication(one,X_30)) != domain(X_30)
| domain(multiplication(one,X_30)) != domain(domain(X_30))
| domain(X_30) = domain(domain(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_30)),domain(domain(X_30))) ),[0],$fot(domain(X_30))]]) ).
cnf(refute_0_50,plain,
( domain(multiplication(one,X_30)) != domain(domain(X_30))
| domain(X_30) = domain(domain(X_30)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(X_30)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
domain(X_30) = domain(domain(X_30)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_30)),domain(domain(X_30))) )],[refute_0_43,refute_0_50]) ).
cnf(refute_0_52,plain,
domain(X_31) = domain(domain(X_31)),
inference(subst,[],[refute_0_51:[bind(X_30,$fot(X_31))]]) ).
cnf(refute_0_53,plain,
( domain(X_31) != domain(domain(X_31))
| domain(domain(X_31)) = domain(X_31) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(domain(X_31))),bind(Y,$fot(domain(domain(X_31))))]]) ).
cnf(refute_0_54,plain,
domain(domain(X_31)) = domain(X_31),
inference(resolve,[$cnf( $equal(domain(X_31),domain(domain(X_31))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( addition(antidomain(domain(X_31)),domain(domain(X_31))) != one
| domain(domain(X_31)) != domain(X_31)
| addition(antidomain(domain(X_31)),domain(X_31)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(domain(X_31))),one) ),[0,1],$fot(domain(X_31))]]) ).
cnf(refute_0_56,plain,
( addition(antidomain(domain(X_31)),domain(domain(X_31))) != one
| addition(antidomain(domain(X_31)),domain(X_31)) = one ),
inference(resolve,[$cnf( $equal(domain(domain(X_31)),domain(X_31)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
addition(antidomain(domain(X_31)),domain(X_31)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(domain(X_31))),one) )],[refute_0_36,refute_0_56]) ).
cnf(refute_0_58,plain,
addition(antidomain(domain(X_31)),domain(X_31)) = addition(domain(X_31),antidomain(domain(X_31))),
inference(subst,[],[refute_0_31:[bind(A,$fot(domain(X_31))),bind(B,$fot(antidomain(domain(X_31))))]]) ).
cnf(refute_0_59,plain,
( addition(antidomain(domain(X_31)),domain(X_31)) != addition(domain(X_31),antidomain(domain(X_31)))
| addition(antidomain(domain(X_31)),domain(X_31)) != one
| addition(domain(X_31),antidomain(domain(X_31))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(X_31)),one) ),[0],$fot(addition(domain(X_31),antidomain(domain(X_31))))]]) ).
cnf(refute_0_60,plain,
( addition(antidomain(domain(X_31)),domain(X_31)) != one
| addition(domain(X_31),antidomain(domain(X_31))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(X_31)),addition(domain(X_31),antidomain(domain(X_31)))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(domain(X_31),antidomain(domain(X_31))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(X_31)),one) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
addition(domain(X_129),antidomain(domain(X_129))) = one,
inference(subst,[],[refute_0_61:[bind(X_31,$fot(X_129))]]) ).
cnf(refute_0_63,plain,
( addition(domain(X_129),antidomain(domain(X_129))) != one
| multiplication(addition(domain(X_129),antidomain(domain(X_129))),antidomain(X_129)) != multiplication(antidomain(domain(X_129)),antidomain(X_129))
| multiplication(one,antidomain(X_129)) = multiplication(antidomain(domain(X_129)),antidomain(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X_129),antidomain(domain(X_129))),antidomain(X_129)),multiplication(antidomain(domain(X_129)),antidomain(X_129))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_64,plain,
( multiplication(addition(domain(X_129),antidomain(domain(X_129))),antidomain(X_129)) != multiplication(antidomain(domain(X_129)),antidomain(X_129))
| multiplication(one,antidomain(X_129)) = multiplication(antidomain(domain(X_129)),antidomain(X_129)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_129),antidomain(domain(X_129))),one) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiplication(one,antidomain(X_129)) = multiplication(antidomain(domain(X_129)),antidomain(X_129)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X_129),antidomain(domain(X_129))),antidomain(X_129)),multiplication(antidomain(domain(X_129)),antidomain(X_129))) )],[refute_0_25,refute_0_64]) ).
cnf(refute_0_66,plain,
multiplication(one,antidomain(X_129)) = antidomain(X_129),
inference(subst,[],[refute_0_39:[bind(A,$fot(antidomain(X_129)))]]) ).
cnf(refute_0_67,plain,
( multiplication(one,antidomain(X_129)) != antidomain(X_129)
| multiplication(one,antidomain(X_129)) != multiplication(antidomain(domain(X_129)),antidomain(X_129))
| antidomain(X_129) = multiplication(antidomain(domain(X_129)),antidomain(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X_129)),multiplication(antidomain(domain(X_129)),antidomain(X_129))) ),[0],$fot(antidomain(X_129))]]) ).
cnf(refute_0_68,plain,
( multiplication(one,antidomain(X_129)) != multiplication(antidomain(domain(X_129)),antidomain(X_129))
| antidomain(X_129) = multiplication(antidomain(domain(X_129)),antidomain(X_129)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_129)),antidomain(X_129)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
antidomain(X_129) = multiplication(antidomain(domain(X_129)),antidomain(X_129)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_129)),multiplication(antidomain(domain(X_129)),antidomain(X_129))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
antidomain(X_144) = multiplication(antidomain(domain(X_144)),antidomain(X_144)),
inference(subst,[],[refute_0_69:[bind(X_129,$fot(X_144))]]) ).
cnf(refute_0_71,plain,
( antidomain(X_144) != multiplication(antidomain(domain(X_144)),antidomain(X_144))
| multiplication(antidomain(domain(X_144)),antidomain(X_144)) = antidomain(X_144) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(antidomain(X_144))),bind(Y,$fot(multiplication(antidomain(domain(X_144)),antidomain(X_144))))]]) ).
cnf(refute_0_72,plain,
multiplication(antidomain(domain(X_144)),antidomain(X_144)) = antidomain(X_144),
inference(resolve,[$cnf( $equal(antidomain(X_144),multiplication(antidomain(domain(X_144)),antidomain(X_144))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != addition(antidomain(domain(X_144)),multiplication(antidomain(domain(X_144)),antidomain(X_144)))
| multiplication(antidomain(domain(X_144)),antidomain(X_144)) != antidomain(X_144)
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = addition(antidomain(domain(X_144)),antidomain(X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),addition(antidomain(domain(X_144)),multiplication(antidomain(domain(X_144)),antidomain(X_144)))) ),[1,1],$fot(antidomain(X_144))]]) ).
cnf(refute_0_74,plain,
( multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != addition(antidomain(domain(X_144)),multiplication(antidomain(domain(X_144)),antidomain(X_144)))
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = addition(antidomain(domain(X_144)),antidomain(X_144)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_144)),antidomain(X_144)),antidomain(X_144)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = addition(antidomain(domain(X_144)),antidomain(X_144)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),addition(antidomain(domain(X_144)),multiplication(antidomain(domain(X_144)),antidomain(X_144)))) )],[refute_0_8,refute_0_74]) ).
cnf(refute_0_76,plain,
multiplication(antidomain(domain(X_144)),one) = antidomain(domain(X_144)),
inference(subst,[],[refute_0_3:[bind(A,$fot(antidomain(domain(X_144))))]]) ).
cnf(refute_0_77,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_78,plain,
addition(antidomain(X2),addition(domain(X2),X_54)) = addition(addition(antidomain(X2),domain(X2)),X_54),
inference(subst,[],[refute_0_77:[bind(A,$fot(antidomain(X2))),bind(B,$fot(domain(X2))),bind(C,$fot(X_54))]]) ).
cnf(refute_0_79,plain,
( addition(antidomain(X2),addition(domain(X2),X_54)) != addition(addition(antidomain(X2),domain(X2)),X_54)
| addition(antidomain(X2),domain(X2)) != one
| addition(antidomain(X2),addition(domain(X2),X_54)) = addition(one,X_54) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X2),addition(domain(X2),X_54)),addition(addition(antidomain(X2),domain(X2)),X_54)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_80,plain,
( addition(antidomain(X2),addition(domain(X2),X_54)) != addition(addition(antidomain(X2),domain(X2)),X_54)
| addition(antidomain(X2),addition(domain(X2),X_54)) = addition(one,X_54) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X2),domain(X2)),one) )],[refute_0_35,refute_0_79]) ).
cnf(refute_0_81,plain,
addition(antidomain(X2),addition(domain(X2),X_54)) = addition(one,X_54),
inference(resolve,[$cnf( $equal(addition(antidomain(X2),addition(domain(X2),X_54)),addition(addition(antidomain(X2),domain(X2)),X_54)) )],[refute_0_78,refute_0_80]) ).
cnf(refute_0_82,plain,
addition(antidomain(X_72),addition(domain(X_72),domain(X1))) = addition(one,domain(X1)),
inference(subst,[],[refute_0_81:[bind(X2,$fot(X_72)),bind(X_54,$fot(domain(X1)))]]) ).
cnf(refute_0_83,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_84,plain,
domain(addition(X_72,X1)) = addition(domain(X_72),domain(X1)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(X_72))]]) ).
cnf(refute_0_85,plain,
( domain(addition(X_72,X1)) != addition(domain(X_72),domain(X1))
| addition(domain(X_72),domain(X1)) = domain(addition(X_72,X1)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(domain(addition(X_72,X1)))),bind(Y,$fot(addition(domain(X_72),domain(X1))))]]) ).
cnf(refute_0_86,plain,
addition(domain(X_72),domain(X1)) = domain(addition(X_72,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X_72,X1)),addition(domain(X_72),domain(X1))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( addition(antidomain(X_72),addition(domain(X_72),domain(X1))) != addition(one,domain(X1))
| addition(domain(X_72),domain(X1)) != domain(addition(X_72,X1))
| addition(antidomain(X_72),domain(addition(X_72,X1))) = addition(one,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_72),addition(domain(X_72),domain(X1))),addition(one,domain(X1))) ),[0,1],$fot(domain(addition(X_72,X1)))]]) ).
cnf(refute_0_88,plain,
( addition(antidomain(X_72),addition(domain(X_72),domain(X1))) != addition(one,domain(X1))
| addition(antidomain(X_72),domain(addition(X_72,X1))) = addition(one,domain(X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_72),domain(X1)),domain(addition(X_72,X1))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
addition(antidomain(X_72),domain(addition(X_72,X1))) = addition(one,domain(X1)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_72),addition(domain(X_72),domain(X1))),addition(one,domain(X1))) )],[refute_0_82,refute_0_88]) ).
cnf(refute_0_90,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_91,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_31:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_92,plain,
( addition(domain(X0),one) != addition(one,domain(X0))
| addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),one),one) ),[0],$fot(addition(one,domain(X0)))]]) ).
cnf(refute_0_93,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
addition(one,domain(X1)) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_96,plain,
( addition(antidomain(X_72),domain(addition(X_72,X1))) != addition(one,domain(X1))
| addition(one,domain(X1)) != one
| addition(antidomain(X_72),domain(addition(X_72,X1))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_72),domain(addition(X_72,X1))),one) ),[0],$fot(addition(one,domain(X1)))]]) ).
cnf(refute_0_97,plain,
( addition(antidomain(X_72),domain(addition(X_72,X1))) != addition(one,domain(X1))
| addition(antidomain(X_72),domain(addition(X_72,X1))) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X1)),one) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
addition(antidomain(X_72),domain(addition(X_72,X1))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_72),domain(addition(X_72,X1))),addition(one,domain(X1))) )],[refute_0_89,refute_0_97]) ).
cnf(refute_0_99,plain,
addition(antidomain(domain(X_31)),domain(addition(domain(X_31),antidomain(domain(X_31))))) = one,
inference(subst,[],[refute_0_98:[bind(X1,$fot(antidomain(domain(X_31)))),bind(X_72,$fot(domain(X_31)))]]) ).
cnf(refute_0_100,plain,
( addition(antidomain(domain(X_31)),domain(addition(domain(X_31),antidomain(domain(X_31))))) != one
| addition(domain(X_31),antidomain(domain(X_31))) != one
| addition(antidomain(domain(X_31)),domain(one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(addition(domain(X_31),antidomain(domain(X_31))))),one) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_101,plain,
( addition(antidomain(domain(X_31)),domain(addition(domain(X_31),antidomain(domain(X_31))))) != one
| addition(antidomain(domain(X_31)),domain(one)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_31),antidomain(domain(X_31))),one) )],[refute_0_61,refute_0_100]) ).
cnf(refute_0_102,plain,
addition(antidomain(domain(X_31)),domain(one)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(addition(domain(X_31),antidomain(domain(X_31))))),one) )],[refute_0_99,refute_0_101]) ).
cnf(refute_0_103,plain,
addition(antidomain(X_72),addition(domain(X_72),antidomain(domain(X_72)))) = addition(one,antidomain(domain(X_72))),
inference(subst,[],[refute_0_81:[bind(X2,$fot(X_72)),bind(X_54,$fot(antidomain(domain(X_72))))]]) ).
cnf(refute_0_104,plain,
addition(domain(X_72),antidomain(domain(X_72))) = one,
inference(subst,[],[refute_0_61:[bind(X_31,$fot(X_72))]]) ).
cnf(refute_0_105,plain,
( addition(antidomain(X_72),addition(domain(X_72),antidomain(domain(X_72)))) != addition(one,antidomain(domain(X_72)))
| addition(domain(X_72),antidomain(domain(X_72))) != one
| addition(antidomain(X_72),one) = addition(one,antidomain(domain(X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_72),addition(domain(X_72),antidomain(domain(X_72)))),addition(one,antidomain(domain(X_72)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_106,plain,
( addition(antidomain(X_72),addition(domain(X_72),antidomain(domain(X_72)))) != addition(one,antidomain(domain(X_72)))
| addition(antidomain(X_72),one) = addition(one,antidomain(domain(X_72))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_72),antidomain(domain(X_72))),one) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
addition(antidomain(X_72),one) = addition(one,antidomain(domain(X_72))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_72),addition(domain(X_72),antidomain(domain(X_72)))),addition(one,antidomain(domain(X_72)))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(addition(one,X_50),one) = addition(one,addition(one,X_50)),
inference(subst,[],[refute_0_16:[bind(A,$fot(addition(one,X_50))),bind(B,$fot(one))]]) ).
cnf(refute_0_109,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_110,plain,
addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)),
inference(subst,[],[refute_0_109:[bind(X0,$fot(addition(one,X_16)))]]) ).
cnf(refute_0_111,plain,
domain(addition(one,X_14)) = addition(domain(one),domain(X_14)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(one)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_112,plain,
addition(one,multiplication(domain(one),one)) = multiplication(domain(one),one),
inference(subst,[],[refute_0_109:[bind(X0,$fot(one))]]) ).
cnf(refute_0_113,plain,
multiplication(domain(one),one) = domain(one),
inference(subst,[],[refute_0_3:[bind(A,$fot(domain(one)))]]) ).
cnf(refute_0_114,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_115,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
addition(one,domain(one)) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(one))]]) ).
cnf(refute_0_118,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_119,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),one) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( multiplication(domain(one),one) != domain(one)
| one != multiplication(domain(one),one)
| one = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(one,multiplication(domain(one),one)) ),[1],$fot(domain(one))]]) ).
cnf(refute_0_121,plain,
( one != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_113,refute_0_120]) ).
cnf(refute_0_122,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(one,multiplication(domain(one),one)) )],[refute_0_119,refute_0_121]) ).
cnf(refute_0_123,plain,
one = domain(one),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) )],[refute_0_116,refute_0_122]) ).
cnf(refute_0_124,plain,
( one != domain(one)
| domain(one) = one ),
inference(subst,[],[refute_0_29:[bind(X,$fot(one)),bind(Y,$fot(domain(one)))]]) ).
cnf(refute_0_125,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(one,domain(one)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( domain(addition(one,X_14)) != addition(domain(one),domain(X_14))
| domain(one) != one
| domain(addition(one,X_14)) = addition(one,domain(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_14)),addition(domain(one),domain(X_14))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_127,plain,
( domain(addition(one,X_14)) != addition(domain(one),domain(X_14))
| domain(addition(one,X_14)) = addition(one,domain(X_14)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
domain(addition(one,X_14)) = addition(one,domain(X_14)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),addition(domain(one),domain(X_14))) )],[refute_0_111,refute_0_127]) ).
cnf(refute_0_129,plain,
addition(one,domain(X_14)) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_14))]]) ).
cnf(refute_0_130,plain,
( addition(one,domain(X_14)) != one
| domain(addition(one,X_14)) != addition(one,domain(X_14))
| domain(addition(one,X_14)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_14)),addition(one,domain(X_14))) ),[1],$fot(one)]]) ).
cnf(refute_0_131,plain,
( domain(addition(one,X_14)) != addition(one,domain(X_14))
| domain(addition(one,X_14)) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_14)),one) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
domain(addition(one,X_14)) = one,
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),addition(one,domain(X_14))) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
domain(addition(one,X_16)) = one,
inference(subst,[],[refute_0_132:[bind(X_14,$fot(X_16))]]) ).
cnf(refute_0_134,plain,
( addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| domain(addition(one,X_16)) != one
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_135,plain,
( addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_16)),one) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(domain(addition(one,X_16)),addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_110,refute_0_135]) ).
cnf(refute_0_137,plain,
multiplication(one,addition(one,X_16)) = addition(one,X_16),
inference(subst,[],[refute_0_39:[bind(A,$fot(addition(one,X_16)))]]) ).
cnf(refute_0_138,plain,
addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,multiplication(one,addition(one,X_16))),
introduced(tautology,[refl,[$fot(addition(X_16,multiplication(one,addition(one,X_16))))]]) ).
cnf(refute_0_139,plain,
( addition(X_16,multiplication(one,addition(one,X_16))) != addition(X_16,multiplication(one,addition(one,X_16)))
| multiplication(one,addition(one,X_16)) != addition(one,X_16)
| addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_16,multiplication(one,addition(one,X_16))),addition(X_16,multiplication(one,addition(one,X_16)))) ),[1,1],$fot(addition(one,X_16))]]) ).
cnf(refute_0_140,plain,
( multiplication(one,addition(one,X_16)) != addition(one,X_16)
| addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(addition(X_16,multiplication(one,addition(one,X_16))),addition(X_16,multiplication(one,addition(one,X_16)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
addition(X_16,multiplication(one,addition(one,X_16))) = addition(X_16,addition(one,X_16)),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_16)),addition(one,X_16)) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))))]]) ).
cnf(refute_0_143,plain,
( addition(X_16,multiplication(one,addition(one,X_16))) != addition(X_16,addition(one,X_16))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) != addition(one,addition(X_16,multiplication(one,addition(one,X_16))))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,addition(one,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),addition(one,addition(X_16,multiplication(one,addition(one,X_16))))) ),[1,1],$fot(addition(X_16,addition(one,X_16)))]]) ).
cnf(refute_0_144,plain,
( addition(X_16,multiplication(one,addition(one,X_16))) != addition(X_16,addition(one,X_16))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,addition(one,X_16))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),addition(one,addition(X_16,multiplication(one,addition(one,X_16))))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) = addition(one,addition(X_16,addition(one,X_16))),
inference(resolve,[$cnf( $equal(addition(X_16,multiplication(one,addition(one,X_16))),addition(X_16,addition(one,X_16))) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_147,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_77,refute_0_146]) ).
cnf(refute_0_148,plain,
addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),
inference(subst,[],[refute_0_147:[bind(A,$fot(one)),bind(B,$fot(X_16)),bind(C,$fot(multiplication(one,addition(one,X_16))))]]) ).
cnf(refute_0_149,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_150,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_29,refute_0_149]) ).
cnf(refute_0_151,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != addition(one,addition(X_16,multiplication(one,addition(one,X_16))))
| addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) != addition(one,addition(X_16,addition(one,X_16)))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,addition(one,X_16))) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(addition(one,X_16),multiplication(one,addition(one,X_16))))),bind(Y,$fot(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))))),bind(Z,$fot(addition(one,addition(X_16,addition(one,X_16)))))]]) ).
cnf(refute_0_152,plain,
( addition(one,addition(X_16,multiplication(one,addition(one,X_16)))) != addition(one,addition(X_16,addition(one,X_16)))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,addition(one,X_16))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),addition(one,addition(X_16,multiplication(one,addition(one,X_16))))) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
addition(addition(one,X_16),multiplication(one,addition(one,X_16))) = addition(one,addition(X_16,addition(one,X_16))),
inference(resolve,[$cnf( $equal(addition(one,addition(X_16,multiplication(one,addition(one,X_16)))),addition(one,addition(X_16,addition(one,X_16)))) )],[refute_0_145,refute_0_152]) ).
cnf(refute_0_154,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != addition(one,addition(X_16,addition(one,X_16)))
| addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) ),[0],$fot(addition(one,addition(X_16,addition(one,X_16))))]]) ).
cnf(refute_0_155,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = multiplication(domain(addition(one,X_16)),addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),addition(one,addition(X_16,addition(one,X_16)))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(domain(addition(one,X_16)),addition(one,X_16)),
introduced(tautology,[refl,[$fot(multiplication(domain(addition(one,X_16)),addition(one,X_16)))]]) ).
cnf(refute_0_157,plain,
( domain(addition(one,X_16)) != one
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(one,addition(one,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),multiplication(domain(addition(one,X_16)),addition(one,X_16))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_158,plain,
( domain(addition(one,X_16)) != one
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(one,addition(one,X_16)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiplication(domain(addition(one,X_16)),addition(one,X_16)) = multiplication(one,addition(one,X_16)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_16)),one) )],[refute_0_133,refute_0_158]) ).
cnf(refute_0_160,plain,
( multiplication(domain(addition(one,X_16)),addition(one,X_16)) != multiplication(one,addition(one,X_16))
| multiplication(one,addition(one,X_16)) != addition(one,X_16)
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = addition(one,X_16) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(multiplication(domain(addition(one,X_16)),addition(one,X_16)))),bind(Y,$fot(multiplication(one,addition(one,X_16)))),bind(Z,$fot(addition(one,X_16)))]]) ).
cnf(refute_0_161,plain,
( multiplication(one,addition(one,X_16)) != addition(one,X_16)
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) = addition(one,X_16) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),multiplication(one,addition(one,X_16))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
multiplication(domain(addition(one,X_16)),addition(one,X_16)) = addition(one,X_16),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_16)),addition(one,X_16)) )],[refute_0_137,refute_0_161]) ).
cnf(refute_0_163,plain,
( addition(one,addition(X_16,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| multiplication(domain(addition(one,X_16)),addition(one,X_16)) != addition(one,X_16)
| addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(X_16,addition(one,X_16))),addition(one,X_16)) ),[0],$fot(multiplication(domain(addition(one,X_16)),addition(one,X_16)))]]) ).
cnf(refute_0_164,plain,
( addition(one,addition(X_16,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_16)),addition(one,X_16)),addition(one,X_16)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
( addition(addition(one,X_16),multiplication(one,addition(one,X_16))) != multiplication(domain(addition(one,X_16)),addition(one,X_16))
| addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_16,addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_155,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(one,addition(X_16,addition(one,X_16))) = addition(one,X_16),
inference(resolve,[$cnf( $equal(addition(addition(one,X_16),multiplication(one,addition(one,X_16))),multiplication(domain(addition(one,X_16)),addition(one,X_16))) )],[refute_0_136,refute_0_165]) ).
cnf(refute_0_167,plain,
addition(one,addition(X_46,addition(one,X_46))) = addition(one,X_46),
inference(subst,[],[refute_0_166:[bind(X_16,$fot(X_46))]]) ).
cnf(refute_0_168,plain,
addition(X_46,one) = addition(one,X_46),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_46)),bind(B,$fot(one))]]) ).
cnf(refute_0_169,plain,
( addition(X_46,one) != addition(one,X_46)
| addition(one,X_46) = addition(X_46,one) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_46,one))),bind(Y,$fot(addition(one,X_46)))]]) ).
cnf(refute_0_170,plain,
addition(one,X_46) = addition(X_46,one),
inference(resolve,[$cnf( $equal(addition(X_46,one),addition(one,X_46)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( addition(one,X_46) != addition(X_46,one)
| addition(one,addition(X_46,addition(one,X_46))) != addition(one,X_46)
| addition(one,addition(X_46,addition(X_46,one))) = addition(one,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_46,addition(one,X_46))),addition(one,X_46)) ),[0,1,1],$fot(addition(X_46,one))]]) ).
cnf(refute_0_172,plain,
( addition(one,addition(X_46,addition(one,X_46))) != addition(one,X_46)
| addition(one,addition(X_46,addition(X_46,one))) = addition(one,X_46) ),
inference(resolve,[$cnf( $equal(addition(one,X_46),addition(X_46,one)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
addition(one,addition(X_46,addition(X_46,one))) = addition(one,X_46),
inference(resolve,[$cnf( $equal(addition(one,addition(X_46,addition(one,X_46))),addition(one,X_46)) )],[refute_0_167,refute_0_172]) ).
cnf(refute_0_174,plain,
addition(addition(X_47,addition(X_47,one)),one) = addition(one,addition(X_47,addition(X_47,one))),
inference(subst,[],[refute_0_16:[bind(A,$fot(addition(X_47,addition(X_47,one)))),bind(B,$fot(one))]]) ).
cnf(refute_0_175,plain,
addition(one,addition(X_47,addition(X_47,one))) = addition(one,X_47),
inference(subst,[],[refute_0_173:[bind(X_46,$fot(X_47))]]) ).
cnf(refute_0_176,plain,
( addition(addition(X_47,addition(X_47,one)),one) != addition(one,addition(X_47,addition(X_47,one)))
| addition(one,addition(X_47,addition(X_47,one))) != addition(one,X_47)
| addition(addition(X_47,addition(X_47,one)),one) = addition(one,X_47) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(X_47,addition(X_47,one)),one),addition(one,X_47)) ),[0],$fot(addition(one,addition(X_47,addition(X_47,one))))]]) ).
cnf(refute_0_177,plain,
( addition(addition(X_47,addition(X_47,one)),one) != addition(one,addition(X_47,addition(X_47,one)))
| addition(addition(X_47,addition(X_47,one)),one) = addition(one,X_47) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_47,addition(X_47,one))),addition(one,X_47)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
addition(addition(X_47,addition(X_47,one)),one) = addition(one,X_47),
inference(resolve,[$cnf( $equal(addition(addition(X_47,addition(X_47,one)),one),addition(one,addition(X_47,addition(X_47,one)))) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_180,plain,
addition(one,one) = one,
inference(subst,[],[refute_0_179:[bind(A,$fot(one))]]) ).
cnf(refute_0_181,plain,
addition(X_47,addition(one,one)) = addition(X_47,addition(one,one)),
introduced(tautology,[refl,[$fot(addition(X_47,addition(one,one)))]]) ).
cnf(refute_0_182,plain,
( addition(X_47,addition(one,one)) != addition(X_47,addition(one,one))
| addition(one,one) != one
| addition(X_47,addition(one,one)) = addition(X_47,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_47,addition(one,one)),addition(X_47,addition(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_183,plain,
( addition(one,one) != one
| addition(X_47,addition(one,one)) = addition(X_47,one) ),
inference(resolve,[$cnf( $equal(addition(X_47,addition(one,one)),addition(X_47,addition(one,one))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
addition(X_47,addition(one,one)) = addition(X_47,one),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
addition(addition(X_47,one),one) = addition(X_47,addition(one,one)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_47)),bind(B,$fot(one)),bind(C,$fot(one))]]) ).
cnf(refute_0_186,plain,
( addition(X_47,addition(one,one)) != addition(X_47,one)
| addition(addition(X_47,one),one) != addition(X_47,addition(one,one))
| addition(addition(X_47,one),one) = addition(X_47,one) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(addition(X_47,one),one))),bind(Y,$fot(addition(X_47,addition(one,one)))),bind(Z,$fot(addition(X_47,one)))]]) ).
cnf(refute_0_187,plain,
( addition(X_47,addition(one,one)) != addition(X_47,one)
| addition(addition(X_47,one),one) = addition(X_47,one) ),
inference(resolve,[$cnf( $equal(addition(addition(X_47,one),one),addition(X_47,addition(one,one))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
addition(addition(X_47,one),one) = addition(X_47,one),
inference(resolve,[$cnf( $equal(addition(X_47,addition(one,one)),addition(X_47,one)) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
addition(X_47,addition(addition(X_47,one),one)) = addition(X_47,addition(addition(X_47,one),one)),
introduced(tautology,[refl,[$fot(addition(X_47,addition(addition(X_47,one),one)))]]) ).
cnf(refute_0_190,plain,
( addition(X_47,addition(addition(X_47,one),one)) != addition(X_47,addition(addition(X_47,one),one))
| addition(addition(X_47,one),one) != addition(X_47,one)
| addition(X_47,addition(addition(X_47,one),one)) = addition(X_47,addition(X_47,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_47,addition(addition(X_47,one),one)),addition(X_47,addition(addition(X_47,one),one))) ),[1,1],$fot(addition(X_47,one))]]) ).
cnf(refute_0_191,plain,
( addition(addition(X_47,one),one) != addition(X_47,one)
| addition(X_47,addition(addition(X_47,one),one)) = addition(X_47,addition(X_47,one)) ),
inference(resolve,[$cnf( $equal(addition(X_47,addition(addition(X_47,one),one)),addition(X_47,addition(addition(X_47,one),one))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
addition(X_47,addition(addition(X_47,one),one)) = addition(X_47,addition(X_47,one)),
inference(resolve,[$cnf( $equal(addition(addition(X_47,one),one),addition(X_47,one)) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
addition(addition(X_47,addition(X_47,one)),one) = addition(X_47,addition(addition(X_47,one),one)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_47)),bind(B,$fot(addition(X_47,one))),bind(C,$fot(one))]]) ).
cnf(refute_0_194,plain,
( addition(X_47,addition(addition(X_47,one),one)) != addition(X_47,addition(X_47,one))
| addition(addition(X_47,addition(X_47,one)),one) != addition(X_47,addition(addition(X_47,one),one))
| addition(addition(X_47,addition(X_47,one)),one) = addition(X_47,addition(X_47,one)) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(addition(X_47,addition(X_47,one)),one))),bind(Y,$fot(addition(X_47,addition(addition(X_47,one),one)))),bind(Z,$fot(addition(X_47,addition(X_47,one))))]]) ).
cnf(refute_0_195,plain,
( addition(X_47,addition(addition(X_47,one),one)) != addition(X_47,addition(X_47,one))
| addition(addition(X_47,addition(X_47,one)),one) = addition(X_47,addition(X_47,one)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_47,addition(X_47,one)),one),addition(X_47,addition(addition(X_47,one),one))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
addition(addition(X_47,addition(X_47,one)),one) = addition(X_47,addition(X_47,one)),
inference(resolve,[$cnf( $equal(addition(X_47,addition(addition(X_47,one),one)),addition(X_47,addition(X_47,one))) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
( addition(addition(X_47,addition(X_47,one)),one) != addition(X_47,addition(X_47,one))
| addition(addition(X_47,addition(X_47,one)),one) != addition(one,X_47)
| addition(X_47,addition(X_47,one)) = addition(one,X_47) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_47,addition(X_47,one)),one),addition(one,X_47)) ),[0],$fot(addition(X_47,addition(X_47,one)))]]) ).
cnf(refute_0_198,plain,
( addition(addition(X_47,addition(X_47,one)),one) != addition(one,X_47)
| addition(X_47,addition(X_47,one)) = addition(one,X_47) ),
inference(resolve,[$cnf( $equal(addition(addition(X_47,addition(X_47,one)),one),addition(X_47,addition(X_47,one))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
addition(X_47,addition(X_47,one)) = addition(one,X_47),
inference(resolve,[$cnf( $equal(addition(addition(X_47,addition(X_47,one)),one),addition(one,X_47)) )],[refute_0_178,refute_0_198]) ).
cnf(refute_0_200,plain,
addition(X_46,addition(X_46,one)) = addition(one,X_46),
inference(subst,[],[refute_0_199:[bind(X_47,$fot(X_46))]]) ).
cnf(refute_0_201,plain,
addition(one,addition(X_46,addition(X_46,one))) = addition(one,addition(X_46,addition(X_46,one))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_46,addition(X_46,one))))]]) ).
cnf(refute_0_202,plain,
( addition(X_46,addition(X_46,one)) != addition(one,X_46)
| addition(one,addition(X_46,addition(X_46,one))) != addition(one,addition(X_46,addition(X_46,one)))
| addition(one,addition(X_46,addition(X_46,one))) = addition(one,addition(one,X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_46,addition(X_46,one))),addition(one,addition(X_46,addition(X_46,one)))) ),[1,1],$fot(addition(one,X_46))]]) ).
cnf(refute_0_203,plain,
( addition(X_46,addition(X_46,one)) != addition(one,X_46)
| addition(one,addition(X_46,addition(X_46,one))) = addition(one,addition(one,X_46)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_46,addition(X_46,one))),addition(one,addition(X_46,addition(X_46,one)))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
addition(one,addition(X_46,addition(X_46,one))) = addition(one,addition(one,X_46)),
inference(resolve,[$cnf( $equal(addition(X_46,addition(X_46,one)),addition(one,X_46)) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
( addition(one,addition(X_46,addition(X_46,one))) != addition(one,X_46)
| addition(one,addition(X_46,addition(X_46,one))) != addition(one,addition(one,X_46))
| addition(one,addition(one,X_46)) = addition(one,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_46,addition(X_46,one))),addition(one,X_46)) ),[0],$fot(addition(one,addition(one,X_46)))]]) ).
cnf(refute_0_206,plain,
( addition(one,addition(X_46,addition(X_46,one))) != addition(one,X_46)
| addition(one,addition(one,X_46)) = addition(one,X_46) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_46,addition(X_46,one))),addition(one,addition(one,X_46))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
addition(one,addition(one,X_46)) = addition(one,X_46),
inference(resolve,[$cnf( $equal(addition(one,addition(X_46,addition(X_46,one))),addition(one,X_46)) )],[refute_0_173,refute_0_206]) ).
cnf(refute_0_208,plain,
addition(one,addition(one,X_50)) = addition(one,X_50),
inference(subst,[],[refute_0_207:[bind(X_46,$fot(X_50))]]) ).
cnf(refute_0_209,plain,
( addition(addition(one,X_50),one) != addition(one,addition(one,X_50))
| addition(one,addition(one,X_50)) != addition(one,X_50)
| addition(addition(one,X_50),one) = addition(one,X_50) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(one,X_50),one),addition(one,X_50)) ),[0],$fot(addition(one,addition(one,X_50)))]]) ).
cnf(refute_0_210,plain,
( addition(addition(one,X_50),one) != addition(one,addition(one,X_50))
| addition(addition(one,X_50),one) = addition(one,X_50) ),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_50)),addition(one,X_50)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(addition(one,X_50),one) = addition(one,X_50),
inference(resolve,[$cnf( $equal(addition(addition(one,X_50),one),addition(one,addition(one,X_50))) )],[refute_0_108,refute_0_210]) ).
cnf(refute_0_212,plain,
addition(addition(one,X_50),one) = addition(one,addition(X_50,one)),
inference(subst,[],[refute_0_147:[bind(A,$fot(one)),bind(B,$fot(X_50)),bind(C,$fot(one))]]) ).
cnf(refute_0_213,plain,
( addition(addition(one,X_50),one) != addition(one,X_50)
| addition(addition(one,X_50),one) != addition(one,addition(X_50,one))
| addition(one,addition(X_50,one)) = addition(one,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_50),one),addition(one,X_50)) ),[0],$fot(addition(one,addition(X_50,one)))]]) ).
cnf(refute_0_214,plain,
( addition(addition(one,X_50),one) != addition(one,X_50)
| addition(one,addition(X_50,one)) = addition(one,X_50) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_50),one),addition(one,addition(X_50,one))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
addition(one,addition(X_50,one)) = addition(one,X_50),
inference(resolve,[$cnf( $equal(addition(addition(one,X_50),one),addition(one,X_50)) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
addition(addition(X_53,X_54),addition(X_53,X_54)) = addition(addition(addition(X_53,X_54),X_53),X_54),
inference(subst,[],[refute_0_77:[bind(A,$fot(addition(X_53,X_54))),bind(B,$fot(X_53)),bind(C,$fot(X_54))]]) ).
cnf(refute_0_217,plain,
addition(addition(X_53,X_54),addition(X_53,X_54)) = addition(X_53,X_54),
inference(subst,[],[refute_0_179:[bind(A,$fot(addition(X_53,X_54)))]]) ).
cnf(refute_0_218,plain,
( addition(addition(X_53,X_54),addition(X_53,X_54)) != addition(X_53,X_54)
| addition(addition(X_53,X_54),addition(X_53,X_54)) != addition(addition(addition(X_53,X_54),X_53),X_54)
| addition(X_53,X_54) = addition(addition(addition(X_53,X_54),X_53),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_53,X_54),addition(X_53,X_54)),addition(addition(addition(X_53,X_54),X_53),X_54)) ),[0],$fot(addition(X_53,X_54))]]) ).
cnf(refute_0_219,plain,
( addition(addition(X_53,X_54),addition(X_53,X_54)) != addition(addition(addition(X_53,X_54),X_53),X_54)
| addition(X_53,X_54) = addition(addition(addition(X_53,X_54),X_53),X_54) ),
inference(resolve,[$cnf( $equal(addition(addition(X_53,X_54),addition(X_53,X_54)),addition(X_53,X_54)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
addition(X_53,X_54) = addition(addition(addition(X_53,X_54),X_53),X_54),
inference(resolve,[$cnf( $equal(addition(addition(X_53,X_54),addition(X_53,X_54)),addition(addition(addition(X_53,X_54),X_53),X_54)) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
addition(X_52,addition(X_53,X_54)) = addition(addition(X_52,X_53),X_54),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_52)),bind(B,$fot(X_53)),bind(C,$fot(X_54))]]) ).
cnf(refute_0_222,plain,
addition(X_54,X_53) = addition(X_53,X_54),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_54)),bind(B,$fot(X_53))]]) ).
cnf(refute_0_223,plain,
( addition(X_54,X_53) != addition(X_53,X_54)
| addition(X_53,X_54) = addition(X_54,X_53) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_54,X_53))),bind(Y,$fot(addition(X_53,X_54)))]]) ).
cnf(refute_0_224,plain,
addition(X_53,X_54) = addition(X_54,X_53),
inference(resolve,[$cnf( $equal(addition(X_54,X_53),addition(X_53,X_54)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
( addition(X_52,addition(X_53,X_54)) != addition(addition(X_52,X_53),X_54)
| addition(X_53,X_54) != addition(X_54,X_53)
| addition(X_52,addition(X_54,X_53)) = addition(addition(X_52,X_53),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_52,addition(X_53,X_54)),addition(addition(X_52,X_53),X_54)) ),[0,1],$fot(addition(X_54,X_53))]]) ).
cnf(refute_0_226,plain,
( addition(X_52,addition(X_53,X_54)) != addition(addition(X_52,X_53),X_54)
| addition(X_52,addition(X_54,X_53)) = addition(addition(X_52,X_53),X_54) ),
inference(resolve,[$cnf( $equal(addition(X_53,X_54),addition(X_54,X_53)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
addition(X_52,addition(X_54,X_53)) = addition(addition(X_52,X_53),X_54),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,X_54)),addition(addition(X_52,X_53),X_54)) )],[refute_0_221,refute_0_226]) ).
cnf(refute_0_228,plain,
addition(addition(X_52,X_53),X_54) = addition(X_52,addition(X_53,X_54)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_52)),bind(B,$fot(X_53)),bind(C,$fot(X_54))]]) ).
cnf(refute_0_229,plain,
( addition(X_52,addition(X_54,X_53)) != addition(addition(X_52,X_53),X_54)
| addition(addition(X_52,X_53),X_54) != addition(X_52,addition(X_53,X_54))
| addition(X_52,addition(X_54,X_53)) = addition(X_52,addition(X_53,X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_52,addition(X_54,X_53)),addition(X_52,addition(X_53,X_54))) ),[0],$fot(addition(addition(X_52,X_53),X_54))]]) ).
cnf(refute_0_230,plain,
( addition(X_52,addition(X_54,X_53)) != addition(addition(X_52,X_53),X_54)
| addition(X_52,addition(X_54,X_53)) = addition(X_52,addition(X_53,X_54)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_52,X_53),X_54),addition(X_52,addition(X_53,X_54))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
addition(X_52,addition(X_54,X_53)) = addition(X_52,addition(X_53,X_54)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_54,X_53)),addition(addition(X_52,X_53),X_54)) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
( addition(X_52,addition(X_54,X_53)) != addition(X_52,addition(X_53,X_54))
| addition(X_52,addition(X_53,X_54)) = addition(X_52,addition(X_54,X_53)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_52,addition(X_54,X_53)))),bind(Y,$fot(addition(X_52,addition(X_53,X_54))))]]) ).
cnf(refute_0_233,plain,
addition(X_52,addition(X_53,X_54)) = addition(X_52,addition(X_54,X_53)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_54,X_53)),addition(X_52,addition(X_53,X_54))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
addition(X_54,addition(addition(X_53,X_54),X_53)) = addition(X_54,addition(X_53,addition(X_53,X_54))),
inference(subst,[],[refute_0_233:[bind(X_52,$fot(X_54)),bind(X_53,$fot(addition(X_53,X_54))),bind(X_54,$fot(X_53))]]) ).
cnf(refute_0_235,plain,
addition(A,addition(X_52,X_53)) = addition(addition(X_52,X_53),A),
inference(subst,[],[refute_0_16:[bind(B,$fot(addition(X_52,X_53)))]]) ).
cnf(refute_0_236,plain,
addition(X_52,addition(X_53,A)) = addition(addition(X_52,X_53),A),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_52)),bind(B,$fot(X_53)),bind(C,$fot(A))]]) ).
cnf(refute_0_237,plain,
( addition(X_52,addition(X_53,A)) != addition(addition(X_52,X_53),A)
| addition(addition(X_52,X_53),A) = addition(X_52,addition(X_53,A)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_52,addition(X_53,A)))),bind(Y,$fot(addition(addition(X_52,X_53),A)))]]) ).
cnf(refute_0_238,plain,
addition(addition(X_52,X_53),A) = addition(X_52,addition(X_53,A)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,A)),addition(addition(X_52,X_53),A)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( addition(A,addition(X_52,X_53)) != addition(addition(X_52,X_53),A)
| addition(addition(X_52,X_53),A) != addition(X_52,addition(X_53,A))
| addition(A,addition(X_52,X_53)) = addition(X_52,addition(X_53,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_52,X_53)),addition(X_52,addition(X_53,A))) ),[0],$fot(addition(addition(X_52,X_53),A))]]) ).
cnf(refute_0_240,plain,
( addition(A,addition(X_52,X_53)) != addition(addition(X_52,X_53),A)
| addition(A,addition(X_52,X_53)) = addition(X_52,addition(X_53,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_52,X_53),A),addition(X_52,addition(X_53,A))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
addition(A,addition(X_52,X_53)) = addition(X_52,addition(X_53,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_52,X_53)),addition(addition(X_52,X_53),A)) )],[refute_0_235,refute_0_240]) ).
cnf(refute_0_242,plain,
( addition(A,addition(X_52,X_53)) != addition(X_52,addition(X_53,A))
| addition(X_52,addition(X_53,A)) = addition(A,addition(X_52,X_53)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(A,addition(X_52,X_53)))),bind(Y,$fot(addition(X_52,addition(X_53,A))))]]) ).
cnf(refute_0_243,plain,
addition(X_52,addition(X_53,A)) = addition(A,addition(X_52,X_53)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_52,X_53)),addition(X_52,addition(X_53,A))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
addition(addition(X_53,X_54),addition(X_53,X_54)) = addition(X_54,addition(addition(X_53,X_54),X_53)),
inference(subst,[],[refute_0_243:[bind(A,$fot(X_54)),bind(X_52,$fot(addition(X_53,X_54)))]]) ).
cnf(refute_0_245,plain,
( addition(X_54,addition(addition(X_53,X_54),X_53)) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(addition(X_53,X_54),addition(X_53,X_54)) != addition(X_54,addition(addition(X_53,X_54),X_53))
| addition(addition(X_53,X_54),addition(X_53,X_54)) = addition(X_54,addition(X_53,addition(X_53,X_54))) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(addition(X_53,X_54),addition(X_53,X_54)))),bind(Y,$fot(addition(X_54,addition(addition(X_53,X_54),X_53)))),bind(Z,$fot(addition(X_54,addition(X_53,addition(X_53,X_54)))))]]) ).
cnf(refute_0_246,plain,
( addition(X_54,addition(addition(X_53,X_54),X_53)) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(addition(X_53,X_54),addition(X_53,X_54)) = addition(X_54,addition(X_53,addition(X_53,X_54))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_53,X_54),addition(X_53,X_54)),addition(X_54,addition(addition(X_53,X_54),X_53))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
addition(addition(X_53,X_54),addition(X_53,X_54)) = addition(X_54,addition(X_53,addition(X_53,X_54))),
inference(resolve,[$cnf( $equal(addition(X_54,addition(addition(X_53,X_54),X_53)),addition(X_54,addition(X_53,addition(X_53,X_54)))) )],[refute_0_234,refute_0_246]) ).
cnf(refute_0_248,plain,
addition(addition(addition(X_53,X_54),X_53),X_54) = addition(addition(X_53,X_54),addition(X_53,X_54)),
inference(subst,[],[refute_0_147:[bind(A,$fot(addition(X_53,X_54))),bind(B,$fot(X_53)),bind(C,$fot(X_54))]]) ).
cnf(refute_0_249,plain,
( addition(addition(X_53,X_54),addition(X_53,X_54)) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(addition(addition(X_53,X_54),X_53),X_54) != addition(addition(X_53,X_54),addition(X_53,X_54))
| addition(addition(addition(X_53,X_54),X_53),X_54) = addition(X_54,addition(X_53,addition(X_53,X_54))) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(addition(addition(X_53,X_54),X_53),X_54))),bind(Y,$fot(addition(addition(X_53,X_54),addition(X_53,X_54)))),bind(Z,$fot(addition(X_54,addition(X_53,addition(X_53,X_54)))))]]) ).
cnf(refute_0_250,plain,
( addition(addition(X_53,X_54),addition(X_53,X_54)) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(addition(addition(X_53,X_54),X_53),X_54) = addition(X_54,addition(X_53,addition(X_53,X_54))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_53,X_54),X_53),X_54),addition(addition(X_53,X_54),addition(X_53,X_54))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
addition(addition(addition(X_53,X_54),X_53),X_54) = addition(X_54,addition(X_53,addition(X_53,X_54))),
inference(resolve,[$cnf( $equal(addition(addition(X_53,X_54),addition(X_53,X_54)),addition(X_54,addition(X_53,addition(X_53,X_54)))) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
( addition(X_53,X_54) != addition(addition(addition(X_53,X_54),X_53),X_54)
| addition(addition(addition(X_53,X_54),X_53),X_54) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(X_53,X_54) = addition(X_54,addition(X_53,addition(X_53,X_54))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_53,X_54),addition(X_54,addition(X_53,addition(X_53,X_54)))) ),[0],$fot(addition(addition(addition(X_53,X_54),X_53),X_54))]]) ).
cnf(refute_0_253,plain,
( addition(X_53,X_54) != addition(addition(addition(X_53,X_54),X_53),X_54)
| addition(X_53,X_54) = addition(X_54,addition(X_53,addition(X_53,X_54))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_53,X_54),X_53),X_54),addition(X_54,addition(X_53,addition(X_53,X_54)))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
addition(X_53,X_54) = addition(X_54,addition(X_53,addition(X_53,X_54))),
inference(resolve,[$cnf( $equal(addition(X_53,X_54),addition(addition(addition(X_53,X_54),X_53),X_54)) )],[refute_0_220,refute_0_253]) ).
cnf(refute_0_255,plain,
addition(X_53,addition(X_53,X_54)) = addition(addition(X_53,X_53),X_54),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_53)),bind(B,$fot(X_53)),bind(C,$fot(X_54))]]) ).
cnf(refute_0_256,plain,
addition(X_53,X_53) = X_53,
inference(subst,[],[refute_0_179:[bind(A,$fot(X_53))]]) ).
cnf(refute_0_257,plain,
( addition(X_53,X_53) != X_53
| addition(X_53,addition(X_53,X_54)) != addition(addition(X_53,X_53),X_54)
| addition(X_53,addition(X_53,X_54)) = addition(X_53,X_54) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_53,addition(X_53,X_54)),addition(addition(X_53,X_53),X_54)) ),[1,0],$fot(X_53)]]) ).
cnf(refute_0_258,plain,
( addition(X_53,addition(X_53,X_54)) != addition(addition(X_53,X_53),X_54)
| addition(X_53,addition(X_53,X_54)) = addition(X_53,X_54) ),
inference(resolve,[$cnf( $equal(addition(X_53,X_53),X_53) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
addition(X_53,addition(X_53,X_54)) = addition(X_53,X_54),
inference(resolve,[$cnf( $equal(addition(X_53,addition(X_53,X_54)),addition(addition(X_53,X_53),X_54)) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
addition(X_54,addition(X_53,addition(X_53,X_54))) = addition(X_54,addition(X_53,addition(X_53,X_54))),
introduced(tautology,[refl,[$fot(addition(X_54,addition(X_53,addition(X_53,X_54))))]]) ).
cnf(refute_0_261,plain,
( addition(X_53,addition(X_53,X_54)) != addition(X_53,X_54)
| addition(X_54,addition(X_53,addition(X_53,X_54))) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(X_54,addition(X_53,addition(X_53,X_54))) = addition(X_54,addition(X_53,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_54,addition(X_53,addition(X_53,X_54))),addition(X_54,addition(X_53,addition(X_53,X_54)))) ),[1,1],$fot(addition(X_53,X_54))]]) ).
cnf(refute_0_262,plain,
( addition(X_53,addition(X_53,X_54)) != addition(X_53,X_54)
| addition(X_54,addition(X_53,addition(X_53,X_54))) = addition(X_54,addition(X_53,X_54)) ),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_53,addition(X_53,X_54))),addition(X_54,addition(X_53,addition(X_53,X_54)))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
addition(X_54,addition(X_53,addition(X_53,X_54))) = addition(X_54,addition(X_53,X_54)),
inference(resolve,[$cnf( $equal(addition(X_53,addition(X_53,X_54)),addition(X_53,X_54)) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
( addition(X_53,X_54) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(X_54,addition(X_53,addition(X_53,X_54))) != addition(X_54,addition(X_53,X_54))
| addition(X_53,X_54) = addition(X_54,addition(X_53,X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_53,X_54),addition(X_54,addition(X_53,X_54))) ),[0],$fot(addition(X_54,addition(X_53,addition(X_53,X_54))))]]) ).
cnf(refute_0_265,plain,
( addition(X_53,X_54) != addition(X_54,addition(X_53,addition(X_53,X_54)))
| addition(X_53,X_54) = addition(X_54,addition(X_53,X_54)) ),
inference(resolve,[$cnf( $equal(addition(X_54,addition(X_53,addition(X_53,X_54))),addition(X_54,addition(X_53,X_54))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
addition(X_53,X_54) = addition(X_54,addition(X_53,X_54)),
inference(resolve,[$cnf( $equal(addition(X_53,X_54),addition(X_54,addition(X_53,addition(X_53,X_54)))) )],[refute_0_254,refute_0_265]) ).
cnf(refute_0_267,plain,
( addition(X_53,X_54) != addition(X_54,addition(X_53,X_54))
| addition(X_54,addition(X_53,X_54)) = addition(X_53,X_54) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_53,X_54))),bind(Y,$fot(addition(X_54,addition(X_53,X_54))))]]) ).
cnf(refute_0_268,plain,
addition(X_54,addition(X_53,X_54)) = addition(X_53,X_54),
inference(resolve,[$cnf( $equal(addition(X_53,X_54),addition(X_54,addition(X_53,X_54))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
addition(one,addition(X_50,one)) = addition(X_50,one),
inference(subst,[],[refute_0_268:[bind(X_53,$fot(X_50)),bind(X_54,$fot(one))]]) ).
cnf(refute_0_270,plain,
( addition(one,addition(X_50,one)) != addition(X_50,one)
| addition(one,addition(X_50,one)) != addition(one,X_50)
| addition(X_50,one) = addition(one,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_50,one)),addition(one,X_50)) ),[0],$fot(addition(X_50,one))]]) ).
cnf(refute_0_271,plain,
( addition(one,addition(X_50,one)) != addition(one,X_50)
| addition(X_50,one) = addition(one,X_50) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_50,one)),addition(X_50,one)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
addition(X_50,one) = addition(one,X_50),
inference(resolve,[$cnf( $equal(addition(one,addition(X_50,one)),addition(one,X_50)) )],[refute_0_215,refute_0_271]) ).
cnf(refute_0_273,plain,
addition(antidomain(X_72),one) = addition(one,antidomain(X_72)),
inference(subst,[],[refute_0_272:[bind(X_50,$fot(antidomain(X_72)))]]) ).
cnf(refute_0_274,plain,
( addition(antidomain(X_72),one) != addition(one,antidomain(X_72))
| addition(antidomain(X_72),one) != addition(one,antidomain(domain(X_72)))
| addition(one,antidomain(X_72)) = addition(one,antidomain(domain(X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_72),one),addition(one,antidomain(domain(X_72)))) ),[0],$fot(addition(one,antidomain(X_72)))]]) ).
cnf(refute_0_275,plain,
( addition(antidomain(X_72),one) != addition(one,antidomain(domain(X_72)))
| addition(one,antidomain(X_72)) = addition(one,antidomain(domain(X_72))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_72),one),addition(one,antidomain(X_72))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
addition(one,antidomain(X_72)) = addition(one,antidomain(domain(X_72))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_72),one),addition(one,antidomain(domain(X_72)))) )],[refute_0_107,refute_0_275]) ).
cnf(refute_0_277,plain,
( addition(one,antidomain(X_72)) != addition(one,antidomain(domain(X_72)))
| addition(one,antidomain(domain(X_72))) = addition(one,antidomain(X_72)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(one,antidomain(X_72)))),bind(Y,$fot(addition(one,antidomain(domain(X_72)))))]]) ).
cnf(refute_0_278,plain,
addition(one,antidomain(domain(X_72))) = addition(one,antidomain(X_72)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_72)),addition(one,antidomain(domain(X_72)))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
addition(one,antidomain(domain(X_31))) = addition(one,antidomain(X_31)),
inference(subst,[],[refute_0_278:[bind(X_72,$fot(X_31))]]) ).
cnf(refute_0_280,plain,
addition(domain(one),antidomain(domain(X_31))) = addition(domain(one),antidomain(domain(X_31))),
introduced(tautology,[refl,[$fot(addition(domain(one),antidomain(domain(X_31))))]]) ).
cnf(refute_0_281,plain,
( addition(domain(one),antidomain(domain(X_31))) != addition(domain(one),antidomain(domain(X_31)))
| domain(one) != one
| addition(domain(one),antidomain(domain(X_31))) = addition(one,antidomain(domain(X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(one),antidomain(domain(X_31))),addition(domain(one),antidomain(domain(X_31)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_282,plain,
( domain(one) != one
| addition(domain(one),antidomain(domain(X_31))) = addition(one,antidomain(domain(X_31))) ),
inference(resolve,[$cnf( $equal(addition(domain(one),antidomain(domain(X_31))),addition(domain(one),antidomain(domain(X_31)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
addition(domain(one),antidomain(domain(X_31))) = addition(one,antidomain(domain(X_31))),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_125,refute_0_282]) ).
cnf(refute_0_284,plain,
( addition(domain(one),antidomain(domain(X_31))) != addition(one,antidomain(domain(X_31)))
| addition(one,antidomain(domain(X_31))) != addition(one,antidomain(X_31))
| addition(domain(one),antidomain(domain(X_31))) = addition(one,antidomain(X_31)) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(domain(one),antidomain(domain(X_31))))),bind(Y,$fot(addition(one,antidomain(domain(X_31))))),bind(Z,$fot(addition(one,antidomain(X_31))))]]) ).
cnf(refute_0_285,plain,
( addition(one,antidomain(domain(X_31))) != addition(one,antidomain(X_31))
| addition(domain(one),antidomain(domain(X_31))) = addition(one,antidomain(X_31)) ),
inference(resolve,[$cnf( $equal(addition(domain(one),antidomain(domain(X_31))),addition(one,antidomain(domain(X_31)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
addition(domain(one),antidomain(domain(X_31))) = addition(one,antidomain(X_31)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(domain(X_31))),addition(one,antidomain(X_31))) )],[refute_0_279,refute_0_285]) ).
cnf(refute_0_287,plain,
addition(antidomain(domain(X_31)),domain(one)) = addition(domain(one),antidomain(domain(X_31))),
inference(subst,[],[refute_0_31:[bind(A,$fot(domain(one))),bind(B,$fot(antidomain(domain(X_31))))]]) ).
cnf(refute_0_288,plain,
( addition(antidomain(domain(X_31)),domain(one)) != addition(domain(one),antidomain(domain(X_31)))
| addition(domain(one),antidomain(domain(X_31))) != addition(one,antidomain(X_31))
| addition(antidomain(domain(X_31)),domain(one)) = addition(one,antidomain(X_31)) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(antidomain(domain(X_31)),domain(one)))),bind(Y,$fot(addition(domain(one),antidomain(domain(X_31))))),bind(Z,$fot(addition(one,antidomain(X_31))))]]) ).
cnf(refute_0_289,plain,
( addition(domain(one),antidomain(domain(X_31))) != addition(one,antidomain(X_31))
| addition(antidomain(domain(X_31)),domain(one)) = addition(one,antidomain(X_31)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(one)),addition(domain(one),antidomain(domain(X_31)))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
addition(antidomain(domain(X_31)),domain(one)) = addition(one,antidomain(X_31)),
inference(resolve,[$cnf( $equal(addition(domain(one),antidomain(domain(X_31))),addition(one,antidomain(X_31))) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
( addition(antidomain(domain(X_31)),domain(one)) != addition(one,antidomain(X_31))
| addition(antidomain(domain(X_31)),domain(one)) != one
| addition(one,antidomain(X_31)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(one)),one) ),[0],$fot(addition(one,antidomain(X_31)))]]) ).
cnf(refute_0_292,plain,
( addition(antidomain(domain(X_31)),domain(one)) != one
| addition(one,antidomain(X_31)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(one)),addition(one,antidomain(X_31))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
addition(one,antidomain(X_31)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_31)),domain(one)),one) )],[refute_0_102,refute_0_292]) ).
cnf(refute_0_294,plain,
addition(one,antidomain(X_144)) = one,
inference(subst,[],[refute_0_293:[bind(X_31,$fot(X_144))]]) ).
cnf(refute_0_295,plain,
multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))))]]) ).
cnf(refute_0_296,plain,
( addition(one,antidomain(X_144)) != one
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144)))
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = multiplication(antidomain(domain(X_144)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_297,plain,
( addition(one,antidomain(X_144)) != one
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = multiplication(antidomain(domain(X_144)),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = multiplication(antidomain(domain(X_144)),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_144)),one) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
( multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != multiplication(antidomain(domain(X_144)),one)
| multiplication(antidomain(domain(X_144)),one) != antidomain(domain(X_144))
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = antidomain(domain(X_144)) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))))),bind(Y,$fot(multiplication(antidomain(domain(X_144)),one))),bind(Z,$fot(antidomain(domain(X_144))))]]) ).
cnf(refute_0_300,plain,
( multiplication(antidomain(domain(X_144)),one) != antidomain(domain(X_144))
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = antidomain(domain(X_144)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),multiplication(antidomain(domain(X_144)),one)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) = antidomain(domain(X_144)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_144)),one),antidomain(domain(X_144))) )],[refute_0_76,refute_0_300]) ).
cnf(refute_0_302,plain,
( multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != addition(antidomain(domain(X_144)),antidomain(X_144))
| multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != antidomain(domain(X_144))
| antidomain(domain(X_144)) = addition(antidomain(domain(X_144)),antidomain(X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),addition(antidomain(domain(X_144)),antidomain(X_144))) ),[0],$fot(antidomain(domain(X_144)))]]) ).
cnf(refute_0_303,plain,
( multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != addition(antidomain(domain(X_144)),antidomain(X_144))
| antidomain(domain(X_144)) = addition(antidomain(domain(X_144)),antidomain(X_144)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),antidomain(domain(X_144))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
addition(antidomain(domain(X_144)),antidomain(X_144)) = addition(antidomain(X_144),antidomain(domain(X_144))),
inference(subst,[],[refute_0_31:[bind(A,$fot(antidomain(X_144))),bind(B,$fot(antidomain(domain(X_144))))]]) ).
cnf(refute_0_305,plain,
( addition(antidomain(domain(X_144)),antidomain(X_144)) != addition(antidomain(X_144),antidomain(domain(X_144)))
| antidomain(domain(X_144)) != addition(antidomain(domain(X_144)),antidomain(X_144))
| antidomain(domain(X_144)) = addition(antidomain(X_144),antidomain(domain(X_144))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X_144)),addition(antidomain(domain(X_144)),antidomain(X_144))) ),[1],$fot(addition(antidomain(X_144),antidomain(domain(X_144))))]]) ).
cnf(refute_0_306,plain,
( antidomain(domain(X_144)) != addition(antidomain(domain(X_144)),antidomain(X_144))
| antidomain(domain(X_144)) = addition(antidomain(X_144),antidomain(domain(X_144))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_144)),antidomain(X_144)),addition(antidomain(X_144),antidomain(domain(X_144)))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))) != addition(antidomain(domain(X_144)),antidomain(X_144))
| antidomain(domain(X_144)) = addition(antidomain(X_144),antidomain(domain(X_144))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_144)),addition(antidomain(domain(X_144)),antidomain(X_144))) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
antidomain(domain(X_144)) = addition(antidomain(X_144),antidomain(domain(X_144))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X_144)),addition(one,antidomain(X_144))),addition(antidomain(domain(X_144)),antidomain(X_144))) )],[refute_0_75,refute_0_307]) ).
cnf(refute_0_309,plain,
antidomain(domain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,domain(X1))))),
inference(subst,[],[refute_0_308:[bind(X_144,$fot(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_310,plain,
( domain(multiplication(X0,X1)) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(domain(multiplication(X0,X1)))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_311,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,X1)),domain(multiplication(X0,domain(X1)))) )],[refute_0_37,refute_0_310]) ).
cnf(refute_0_312,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,domain(X1)))))
| domain(multiplication(X0,domain(X1))) != domain(multiplication(X0,X1))
| antidomain(domain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,domain(X1)))))) ),[1,1,0],$fot(domain(multiplication(X0,X1)))]]) ).
cnf(refute_0_313,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,domain(X1)))))
| antidomain(domain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),domain(multiplication(X0,X1))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
antidomain(domain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,domain(X1)))))) )],[refute_0_309,refute_0_313]) ).
cnf(refute_0_315,plain,
antidomain(domain(multiplication(X0,domain(X1)))) = antidomain(domain(multiplication(X0,domain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_316,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != antidomain(domain(multiplication(X0,domain(X1))))
| domain(multiplication(X0,domain(X1))) != domain(multiplication(X0,X1))
| antidomain(domain(multiplication(X0,domain(X1)))) = antidomain(domain(multiplication(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),antidomain(domain(multiplication(X0,domain(X1))))) ),[1,0],$fot(domain(multiplication(X0,X1)))]]) ).
cnf(refute_0_317,plain,
( domain(multiplication(X0,domain(X1))) != domain(multiplication(X0,X1))
| antidomain(domain(multiplication(X0,domain(X1)))) = antidomain(domain(multiplication(X0,X1))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),antidomain(domain(multiplication(X0,domain(X1))))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
antidomain(domain(multiplication(X0,domain(X1)))) = antidomain(domain(multiplication(X0,X1))),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),domain(multiplication(X0,X1))) )],[refute_0_311,refute_0_317]) ).
cnf(refute_0_319,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))
| antidomain(domain(multiplication(X0,domain(X1)))) != antidomain(domain(multiplication(X0,X1)))
| antidomain(domain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))) ),[0],$fot(antidomain(domain(multiplication(X0,X1))))]]) ).
cnf(refute_0_320,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))
| antidomain(domain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),antidomain(domain(multiplication(X0,X1)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiplication(addition(one,X_127),X_128) = addition(multiplication(one,X_128),multiplication(X_127,X_128)),
inference(subst,[],[refute_0_9:[bind(A,$fot(one)),bind(B,$fot(X_127)),bind(C,$fot(X_128))]]) ).
cnf(refute_0_322,plain,
multiplication(one,X_128) = X_128,
inference(subst,[],[refute_0_39:[bind(A,$fot(X_128))]]) ).
cnf(refute_0_323,plain,
( multiplication(addition(one,X_127),X_128) != addition(multiplication(one,X_128),multiplication(X_127,X_128))
| multiplication(one,X_128) != X_128
| multiplication(addition(one,X_127),X_128) = addition(X_128,multiplication(X_127,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_127),X_128),addition(multiplication(one,X_128),multiplication(X_127,X_128))) ),[1,0],$fot(X_128)]]) ).
cnf(refute_0_324,plain,
( multiplication(addition(one,X_127),X_128) != addition(multiplication(one,X_128),multiplication(X_127,X_128))
| multiplication(addition(one,X_127),X_128) = addition(X_128,multiplication(X_127,X_128)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_128),X_128) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
multiplication(addition(one,X_127),X_128) = addition(X_128,multiplication(X_127,X_128)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_127),X_128),addition(multiplication(one,X_128),multiplication(X_127,X_128))) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476))))),
inference(subst,[],[refute_0_325:[bind(X_127,$fot(domain(X_476))),bind(X_128,$fot(addition(X_475,antidomain(domain(X_476)))))]]) ).
cnf(refute_0_327,plain,
multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) = addition(multiplication(domain(X_31),X_120),multiplication(domain(X_31),antidomain(domain(X_31)))),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(X_31))),bind(B,$fot(X_120)),bind(C,$fot(antidomain(domain(X_31))))]]) ).
cnf(refute_0_328,plain,
multiplication(domain(domain(X_31)),antidomain(domain(X_31))) = zero,
inference(subst,[],[refute_0_11:[bind(X2,$fot(domain(X_31)))]]) ).
cnf(refute_0_329,plain,
( domain(domain(X_31)) != domain(X_31)
| multiplication(domain(domain(X_31)),antidomain(domain(X_31))) != zero
| multiplication(domain(X_31),antidomain(domain(X_31))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(domain(X_31)),antidomain(domain(X_31))),zero) ),[0,0],$fot(domain(X_31))]]) ).
cnf(refute_0_330,plain,
( multiplication(domain(domain(X_31)),antidomain(domain(X_31))) != zero
| multiplication(domain(X_31),antidomain(domain(X_31))) = zero ),
inference(resolve,[$cnf( $equal(domain(domain(X_31)),domain(X_31)) )],[refute_0_54,refute_0_329]) ).
cnf(refute_0_331,plain,
multiplication(domain(X_31),antidomain(domain(X_31))) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(domain(X_31)),antidomain(domain(X_31))),zero) )],[refute_0_328,refute_0_330]) ).
cnf(refute_0_332,plain,
( multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) != addition(multiplication(domain(X_31),X_120),multiplication(domain(X_31),antidomain(domain(X_31))))
| multiplication(domain(X_31),antidomain(domain(X_31))) != zero
| multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) = addition(multiplication(domain(X_31),X_120),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))),addition(multiplication(domain(X_31),X_120),multiplication(domain(X_31),antidomain(domain(X_31))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_333,plain,
( multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) != addition(multiplication(domain(X_31),X_120),multiplication(domain(X_31),antidomain(domain(X_31))))
| multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) = addition(multiplication(domain(X_31),X_120),zero) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),antidomain(domain(X_31))),zero) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) = addition(multiplication(domain(X_31),X_120),zero),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))),addition(multiplication(domain(X_31),X_120),multiplication(domain(X_31),antidomain(domain(X_31))))) )],[refute_0_327,refute_0_333]) ).
cnf(refute_0_335,plain,
addition(multiplication(domain(X_31),X_120),zero) = multiplication(domain(X_31),X_120),
inference(subst,[],[refute_0_15:[bind(A,$fot(multiplication(domain(X_31),X_120)))]]) ).
cnf(refute_0_336,plain,
( addition(multiplication(domain(X_31),X_120),zero) != multiplication(domain(X_31),X_120)
| multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) != addition(multiplication(domain(X_31),X_120),zero)
| multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) = multiplication(domain(X_31),X_120) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))),addition(multiplication(domain(X_31),X_120),zero)) ),[1],$fot(multiplication(domain(X_31),X_120))]]) ).
cnf(refute_0_337,plain,
( multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) != addition(multiplication(domain(X_31),X_120),zero)
| multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) = multiplication(domain(X_31),X_120) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(X_31),X_120),zero),multiplication(domain(X_31),X_120)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))) = multiplication(domain(X_31),X_120),
inference(resolve,[$cnf( $equal(multiplication(domain(X_31),addition(X_120,antidomain(domain(X_31)))),addition(multiplication(domain(X_31),X_120),zero)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476)))) = multiplication(domain(X_476),X_475),
inference(subst,[],[refute_0_338:[bind(X_120,$fot(X_475)),bind(X_31,$fot(X_476))]]) ).
cnf(refute_0_340,plain,
( multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476)))))
| multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476)))) != multiplication(domain(X_476),X_475)
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476)))))) ),[1,1],$fot(multiplication(domain(X_476),X_475))]]) ).
cnf(refute_0_341,plain,
( multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476)))))
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476)))),multiplication(domain(X_476),X_475)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),addition(X_475,antidomain(domain(X_476)))))) )],[refute_0_326,refute_0_341]) ).
cnf(refute_0_343,plain,
multiplication(one,addition(X_475,antidomain(domain(X_476)))) = addition(X_475,antidomain(domain(X_476))),
inference(subst,[],[refute_0_39:[bind(A,$fot(addition(X_475,antidomain(domain(X_476)))))]]) ).
cnf(refute_0_344,plain,
addition(one,domain(X_476)) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_476))]]) ).
cnf(refute_0_345,plain,
multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))))]]) ).
cnf(refute_0_346,plain,
( addition(one,domain(X_476)) != one
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476))))
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = multiplication(one,addition(X_475,antidomain(domain(X_476)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_347,plain,
( addition(one,domain(X_476)) != one
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = multiplication(one,addition(X_475,antidomain(domain(X_476)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476))))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = multiplication(one,addition(X_475,antidomain(domain(X_476)))),
inference(resolve,[$cnf( $equal(addition(one,domain(X_476)),one) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
( multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != multiplication(one,addition(X_475,antidomain(domain(X_476))))
| multiplication(one,addition(X_475,antidomain(domain(X_476)))) != addition(X_475,antidomain(domain(X_476)))
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = addition(X_475,antidomain(domain(X_476))) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))))),bind(Y,$fot(multiplication(one,addition(X_475,antidomain(domain(X_476)))))),bind(Z,$fot(addition(X_475,antidomain(domain(X_476)))))]]) ).
cnf(refute_0_350,plain,
( multiplication(one,addition(X_475,antidomain(domain(X_476)))) != addition(X_475,antidomain(domain(X_476)))
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = addition(X_475,antidomain(domain(X_476))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),multiplication(one,addition(X_475,antidomain(domain(X_476))))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) = addition(X_475,antidomain(domain(X_476))),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_475,antidomain(domain(X_476)))),addition(X_475,antidomain(domain(X_476)))) )],[refute_0_343,refute_0_350]) ).
cnf(refute_0_352,plain,
( multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != addition(X_475,antidomain(domain(X_476)))
| multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))
| addition(X_475,antidomain(domain(X_476))) = addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))) ),[0],$fot(addition(X_475,antidomain(domain(X_476))))]]) ).
cnf(refute_0_353,plain,
( multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))
| addition(X_475,antidomain(domain(X_476))) = addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),addition(X_475,antidomain(domain(X_476)))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)) = addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_475)),bind(B,$fot(antidomain(domain(X_476)))),bind(C,$fot(multiplication(domain(X_476),X_475)))]]) ).
cnf(refute_0_355,plain,
( addition(X_475,antidomain(domain(X_476))) != addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))
| addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)) != addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475)))
| addition(X_475,antidomain(domain(X_476))) = addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_475,antidomain(domain(X_476))),addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475)))) ),[0],$fot(addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)))]]) ).
cnf(refute_0_356,plain,
( addition(X_475,antidomain(domain(X_476))) != addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))
| addition(X_475,antidomain(domain(X_476))) = addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475)),addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475)))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
( multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))) != addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))
| addition(X_475,antidomain(domain(X_476))) = addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))) ),
inference(resolve,[$cnf( $equal(addition(X_475,antidomain(domain(X_476))),addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
addition(X_475,antidomain(domain(X_476))) = addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_476)),addition(X_475,antidomain(domain(X_476)))),addition(addition(X_475,antidomain(domain(X_476))),multiplication(domain(X_476),X_475))) )],[refute_0_342,refute_0_357]) ).
cnf(refute_0_359,plain,
addition(X_53,X_52) = addition(X_52,X_53),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_53)),bind(B,$fot(X_52))]]) ).
cnf(refute_0_360,plain,
( addition(X_53,X_52) != addition(X_52,X_53)
| addition(X_52,X_53) = addition(X_53,X_52) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_53,X_52))),bind(Y,$fot(addition(X_52,X_53)))]]) ).
cnf(refute_0_361,plain,
addition(X_52,X_53) = addition(X_53,X_52),
inference(resolve,[$cnf( $equal(addition(X_53,X_52),addition(X_52,X_53)) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
( addition(X_52,X_53) != addition(X_53,X_52)
| addition(X_52,addition(X_53,X_54)) != addition(addition(X_52,X_53),X_54)
| addition(X_52,addition(X_53,X_54)) = addition(addition(X_53,X_52),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_52,addition(X_53,X_54)),addition(addition(X_52,X_53),X_54)) ),[1,0],$fot(addition(X_53,X_52))]]) ).
cnf(refute_0_363,plain,
( addition(X_52,addition(X_53,X_54)) != addition(addition(X_52,X_53),X_54)
| addition(X_52,addition(X_53,X_54)) = addition(addition(X_53,X_52),X_54) ),
inference(resolve,[$cnf( $equal(addition(X_52,X_53),addition(X_53,X_52)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
addition(X_52,addition(X_53,X_54)) = addition(addition(X_53,X_52),X_54),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,X_54)),addition(addition(X_52,X_53),X_54)) )],[refute_0_221,refute_0_363]) ).
cnf(refute_0_365,plain,
addition(addition(X_53,X_52),X_54) = addition(X_53,addition(X_52,X_54)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_53)),bind(B,$fot(X_52)),bind(C,$fot(X_54))]]) ).
cnf(refute_0_366,plain,
( addition(X_52,addition(X_53,X_54)) != addition(addition(X_53,X_52),X_54)
| addition(addition(X_53,X_52),X_54) != addition(X_53,addition(X_52,X_54))
| addition(X_52,addition(X_53,X_54)) = addition(X_53,addition(X_52,X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_52,addition(X_53,X_54)),addition(X_53,addition(X_52,X_54))) ),[0],$fot(addition(addition(X_53,X_52),X_54))]]) ).
cnf(refute_0_367,plain,
( addition(X_52,addition(X_53,X_54)) != addition(addition(X_53,X_52),X_54)
| addition(X_52,addition(X_53,X_54)) = addition(X_53,addition(X_52,X_54)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_53,X_52),X_54),addition(X_53,addition(X_52,X_54))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
addition(X_52,addition(X_53,X_54)) = addition(X_53,addition(X_52,X_54)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,X_54)),addition(addition(X_53,X_52),X_54)) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))) = addition(X_53,addition(X_52,multiplication(domain(X_513),X_52))),
inference(subst,[],[refute_0_368:[bind(X_54,$fot(multiplication(domain(X_513),X_52)))]]) ).
cnf(refute_0_370,plain,
multiplication(addition(one,domain(X0)),X_230) = addition(X_230,multiplication(domain(X0),X_230)),
inference(subst,[],[refute_0_325:[bind(X_127,$fot(domain(X0))),bind(X_128,$fot(X_230))]]) ).
cnf(refute_0_371,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X_230) != addition(X_230,multiplication(domain(X0),X_230))
| multiplication(one,X_230) = addition(X_230,multiplication(domain(X0),X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_230),addition(X_230,multiplication(domain(X0),X_230))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_372,plain,
( multiplication(addition(one,domain(X0)),X_230) != addition(X_230,multiplication(domain(X0),X_230))
| multiplication(one,X_230) = addition(X_230,multiplication(domain(X0),X_230)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_94,refute_0_371]) ).
cnf(refute_0_373,plain,
multiplication(one,X_230) = addition(X_230,multiplication(domain(X0),X_230)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X_230),addition(X_230,multiplication(domain(X0),X_230))) )],[refute_0_370,refute_0_372]) ).
cnf(refute_0_374,plain,
multiplication(one,X_230) = X_230,
inference(subst,[],[refute_0_39:[bind(A,$fot(X_230))]]) ).
cnf(refute_0_375,plain,
( multiplication(one,X_230) != X_230
| multiplication(one,X_230) != addition(X_230,multiplication(domain(X0),X_230))
| X_230 = addition(X_230,multiplication(domain(X0),X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_230),addition(X_230,multiplication(domain(X0),X_230))) ),[0],$fot(X_230)]]) ).
cnf(refute_0_376,plain,
( multiplication(one,X_230) != addition(X_230,multiplication(domain(X0),X_230))
| X_230 = addition(X_230,multiplication(domain(X0),X_230)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_230),X_230) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
X_230 = addition(X_230,multiplication(domain(X0),X_230)),
inference(resolve,[$cnf( $equal(multiplication(one,X_230),addition(X_230,multiplication(domain(X0),X_230))) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
X_52 = addition(X_52,multiplication(domain(X_513),X_52)),
inference(subst,[],[refute_0_377:[bind(X0,$fot(X_513)),bind(X_230,$fot(X_52))]]) ).
cnf(refute_0_379,plain,
( X_52 != addition(X_52,multiplication(domain(X_513),X_52))
| addition(X_52,multiplication(domain(X_513),X_52)) = X_52 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_52)),bind(Y,$fot(addition(X_52,multiplication(domain(X_513),X_52))))]]) ).
cnf(refute_0_380,plain,
addition(X_52,multiplication(domain(X_513),X_52)) = X_52,
inference(resolve,[$cnf( $equal(X_52,addition(X_52,multiplication(domain(X_513),X_52))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))) != addition(X_53,addition(X_52,multiplication(domain(X_513),X_52)))
| addition(X_52,multiplication(domain(X_513),X_52)) != X_52
| addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))) = addition(X_53,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))),addition(X_53,addition(X_52,multiplication(domain(X_513),X_52)))) ),[1,1],$fot(X_52)]]) ).
cnf(refute_0_382,plain,
( addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))) != addition(X_53,addition(X_52,multiplication(domain(X_513),X_52)))
| addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))) = addition(X_53,X_52) ),
inference(resolve,[$cnf( $equal(addition(X_52,multiplication(domain(X_513),X_52)),X_52) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))) = addition(X_53,X_52),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,multiplication(domain(X_513),X_52))),addition(X_53,addition(X_52,multiplication(domain(X_513),X_52)))) )],[refute_0_369,refute_0_382]) ).
cnf(refute_0_384,plain,
addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))) = addition(antidomain(domain(X_476)),X_475),
inference(subst,[],[refute_0_383:[bind(X_513,$fot(X_476)),bind(X_52,$fot(X_475)),bind(X_53,$fot(antidomain(domain(X_476))))]]) ).
cnf(refute_0_385,plain,
( addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))) != addition(antidomain(domain(X_476)),X_475)
| addition(X_475,antidomain(domain(X_476))) != addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475)))
| addition(X_475,antidomain(domain(X_476))) = addition(antidomain(domain(X_476)),X_475) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_475,antidomain(domain(X_476))),addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475)))) ),[1],$fot(addition(antidomain(domain(X_476)),X_475))]]) ).
cnf(refute_0_386,plain,
( addition(X_475,antidomain(domain(X_476))) != addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475)))
| addition(X_475,antidomain(domain(X_476))) = addition(antidomain(domain(X_476)),X_475) ),
inference(resolve,[$cnf( $equal(addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475))),addition(antidomain(domain(X_476)),X_475)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
addition(X_475,antidomain(domain(X_476))) = addition(antidomain(domain(X_476)),X_475),
inference(resolve,[$cnf( $equal(addition(X_475,antidomain(domain(X_476))),addition(X_475,addition(antidomain(domain(X_476)),multiplication(domain(X_476),X_475)))) )],[refute_0_358,refute_0_386]) ).
cnf(refute_0_388,plain,
addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))),
inference(subst,[],[refute_0_387:[bind(X_475,$fot(antidomain(multiplication(X0,domain(X1))))),bind(X_476,$fot(multiplication(X0,X1)))]]) ).
cnf(refute_0_389,plain,
( addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))) != addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))
| antidomain(domain(multiplication(X0,X1))) != addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))
| antidomain(domain(multiplication(X0,X1))) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))) ),[1],$fot(addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_390,plain,
( antidomain(domain(multiplication(X0,X1))) != addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))
| antidomain(domain(multiplication(X0,X1))) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1)))),addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))
| antidomain(domain(multiplication(X0,X1))) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))) )],[refute_0_320,refute_0_390]) ).
cnf(refute_0_392,plain,
antidomain(domain(multiplication(X0,X1))) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,domain(X1))),antidomain(domain(multiplication(X0,X1))))) )],[refute_0_314,refute_0_391]) ).
cnf(refute_0_393,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_394,plain,
( ~ leq(antidomain(domain(X_1837)),antidomain(X_1837))
| addition(antidomain(domain(X_1837)),antidomain(X_1837)) = antidomain(X_1837) ),
inference(subst,[],[refute_0_393:[bind(A,$fot(antidomain(domain(X_1837)))),bind(B,$fot(antidomain(X_1837)))]]) ).
cnf(refute_0_395,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_396,plain,
( addition(A,addition(X_254,A)) != addition(X_254,A)
| leq(A,addition(X_254,A)) ),
inference(subst,[],[refute_0_395:[bind(B,$fot(addition(X_254,A)))]]) ).
cnf(refute_0_397,plain,
addition(X_254,A) = addition(A,addition(X_254,A)),
inference(subst,[],[refute_0_266:[bind(X_53,$fot(X_254)),bind(X_54,$fot(A))]]) ).
cnf(refute_0_398,plain,
( addition(X_254,A) != addition(A,addition(X_254,A))
| addition(A,addition(X_254,A)) = addition(X_254,A) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_254,A))),bind(Y,$fot(addition(A,addition(X_254,A))))]]) ).
cnf(refute_0_399,plain,
addition(A,addition(X_254,A)) = addition(X_254,A),
inference(resolve,[$cnf( $equal(addition(X_254,A),addition(A,addition(X_254,A))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( addition(A,addition(X_254,A)) != addition(X_254,A)
| addition(X_254,A) != addition(X_254,A)
| addition(A,addition(X_254,A)) = addition(X_254,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_254,A)),addition(X_254,A)) ),[0],$fot(addition(X_254,A))]]) ).
cnf(refute_0_401,plain,
( addition(X_254,A) != addition(X_254,A)
| addition(A,addition(X_254,A)) = addition(X_254,A) ),
inference(resolve,[$cnf( $equal(addition(A,addition(X_254,A)),addition(X_254,A)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
( addition(X_254,A) != addition(X_254,A)
| leq(A,addition(X_254,A)) ),
inference(resolve,[$cnf( $equal(addition(A,addition(X_254,A)),addition(X_254,A)) )],[refute_0_401,refute_0_396]) ).
cnf(refute_0_403,plain,
addition(X_254,A) = addition(X_254,A),
introduced(tautology,[refl,[$fot(addition(X_254,A))]]) ).
cnf(refute_0_404,plain,
leq(A,addition(X_254,A)),
inference(resolve,[$cnf( $equal(addition(X_254,A),addition(X_254,A)) )],[refute_0_403,refute_0_402]) ).
cnf(refute_0_405,plain,
leq(multiplication(X_257,X_123),addition(X_257,multiplication(X_257,X_123))),
inference(subst,[],[refute_0_404:[bind(A,$fot(multiplication(X_257,X_123))),bind(X_254,$fot(X_257))]]) ).
cnf(refute_0_406,plain,
multiplication(X_122,addition(one,X_123)) = addition(X_122,multiplication(X_122,X_123)),
inference(subst,[],[refute_0_7:[bind(X_119,$fot(X_122)),bind(X_121,$fot(X_123))]]) ).
cnf(refute_0_407,plain,
addition(X_123,one) = addition(one,X_123),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_123)),bind(B,$fot(one))]]) ).
cnf(refute_0_408,plain,
( addition(X_123,one) != addition(one,X_123)
| addition(one,X_123) = addition(X_123,one) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_123,one))),bind(Y,$fot(addition(one,X_123)))]]) ).
cnf(refute_0_409,plain,
addition(one,X_123) = addition(X_123,one),
inference(resolve,[$cnf( $equal(addition(X_123,one),addition(one,X_123)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
( addition(one,X_123) != addition(X_123,one)
| multiplication(X_122,addition(one,X_123)) != addition(X_122,multiplication(X_122,X_123))
| multiplication(X_122,addition(X_123,one)) = addition(X_122,multiplication(X_122,X_123)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_122,addition(one,X_123)),addition(X_122,multiplication(X_122,X_123))) ),[0,1],$fot(addition(X_123,one))]]) ).
cnf(refute_0_411,plain,
( multiplication(X_122,addition(one,X_123)) != addition(X_122,multiplication(X_122,X_123))
| multiplication(X_122,addition(X_123,one)) = addition(X_122,multiplication(X_122,X_123)) ),
inference(resolve,[$cnf( $equal(addition(one,X_123),addition(X_123,one)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
multiplication(X_122,addition(X_123,one)) = addition(X_122,multiplication(X_122,X_123)),
inference(resolve,[$cnf( $equal(multiplication(X_122,addition(one,X_123)),addition(X_122,multiplication(X_122,X_123))) )],[refute_0_406,refute_0_411]) ).
cnf(refute_0_413,plain,
multiplication(X_257,addition(X_123,one)) = addition(X_257,multiplication(X_257,X_123)),
inference(subst,[],[refute_0_412:[bind(X_122,$fot(X_257))]]) ).
cnf(refute_0_414,plain,
( multiplication(X_257,addition(X_123,one)) != addition(X_257,multiplication(X_257,X_123))
| addition(X_257,multiplication(X_257,X_123)) = multiplication(X_257,addition(X_123,one)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiplication(X_257,addition(X_123,one)))),bind(Y,$fot(addition(X_257,multiplication(X_257,X_123))))]]) ).
cnf(refute_0_415,plain,
addition(X_257,multiplication(X_257,X_123)) = multiplication(X_257,addition(X_123,one)),
inference(resolve,[$cnf( $equal(multiplication(X_257,addition(X_123,one)),addition(X_257,multiplication(X_257,X_123))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
( addition(X_257,multiplication(X_257,X_123)) != multiplication(X_257,addition(X_123,one))
| ~ leq(multiplication(X_257,X_123),addition(X_257,multiplication(X_257,X_123)))
| leq(multiplication(X_257,X_123),multiplication(X_257,addition(X_123,one))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(X_257,X_123),addition(X_257,multiplication(X_257,X_123))) ),[1],$fot(multiplication(X_257,addition(X_123,one)))]]) ).
cnf(refute_0_417,plain,
( ~ leq(multiplication(X_257,X_123),addition(X_257,multiplication(X_257,X_123)))
| leq(multiplication(X_257,X_123),multiplication(X_257,addition(X_123,one))) ),
inference(resolve,[$cnf( $equal(addition(X_257,multiplication(X_257,X_123)),multiplication(X_257,addition(X_123,one))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
leq(multiplication(X_257,X_123),multiplication(X_257,addition(X_123,one))),
inference(resolve,[$cnf( leq(multiplication(X_257,X_123),addition(X_257,multiplication(X_257,X_123))) )],[refute_0_405,refute_0_417]) ).
cnf(refute_0_419,plain,
leq(multiplication(X_311,X_310),multiplication(X_311,addition(X_310,one))),
inference(subst,[],[refute_0_418:[bind(X_123,$fot(X_310)),bind(X_257,$fot(X_311))]]) ).
cnf(refute_0_420,plain,
addition(one,X_310) = addition(X_310,one),
inference(subst,[],[refute_0_16:[bind(A,$fot(one)),bind(B,$fot(X_310))]]) ).
cnf(refute_0_421,plain,
( addition(one,X_310) != addition(X_310,one)
| addition(X_310,one) = addition(one,X_310) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(one,X_310))),bind(Y,$fot(addition(X_310,one)))]]) ).
cnf(refute_0_422,plain,
addition(X_310,one) = addition(one,X_310),
inference(resolve,[$cnf( $equal(addition(one,X_310),addition(X_310,one)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
( addition(X_310,one) != addition(one,X_310)
| ~ leq(multiplication(X_311,X_310),multiplication(X_311,addition(X_310,one)))
| leq(multiplication(X_311,X_310),multiplication(X_311,addition(one,X_310))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(X_311,X_310),multiplication(X_311,addition(X_310,one))) ),[1,1],$fot(addition(one,X_310))]]) ).
cnf(refute_0_424,plain,
( ~ leq(multiplication(X_311,X_310),multiplication(X_311,addition(X_310,one)))
| leq(multiplication(X_311,X_310),multiplication(X_311,addition(one,X_310))) ),
inference(resolve,[$cnf( $equal(addition(X_310,one),addition(one,X_310)) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
leq(multiplication(X_311,X_310),multiplication(X_311,addition(one,X_310))),
inference(resolve,[$cnf( leq(multiplication(X_311,X_310),multiplication(X_311,addition(X_310,one))) )],[refute_0_419,refute_0_424]) ).
cnf(refute_0_426,plain,
leq(multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))),
inference(subst,[],[refute_0_425:[bind(X_310,$fot(antidomain(X_1831))),bind(X_311,$fot(antidomain(multiplication(X_1831,X_1832))))]]) ).
cnf(refute_0_427,plain,
multiplication(addition(domain(X2),antidomain(multiplication(X2,X_237))),antidomain(X2)) = multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2)),
inference(subst,[],[refute_0_24:[bind(X_127,$fot(antidomain(multiplication(X2,X_237))))]]) ).
cnf(refute_0_428,plain,
addition(antidomain(multiplication(X_119,X_120)),domain(addition(multiplication(X_119,X_120),multiplication(X_119,X_121)))) = one,
inference(subst,[],[refute_0_98:[bind(X1,$fot(multiplication(X_119,X_121))),bind(X_72,$fot(multiplication(X_119,X_120)))]]) ).
cnf(refute_0_429,plain,
multiplication(X_119,addition(X_120,X_121)) = addition(multiplication(X_119,X_120),multiplication(X_119,X_121)),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_119)),bind(B,$fot(X_120)),bind(C,$fot(X_121))]]) ).
cnf(refute_0_430,plain,
( multiplication(X_119,addition(X_120,X_121)) != addition(multiplication(X_119,X_120),multiplication(X_119,X_121))
| addition(multiplication(X_119,X_120),multiplication(X_119,X_121)) = multiplication(X_119,addition(X_120,X_121)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiplication(X_119,addition(X_120,X_121)))),bind(Y,$fot(addition(multiplication(X_119,X_120),multiplication(X_119,X_121))))]]) ).
cnf(refute_0_431,plain,
addition(multiplication(X_119,X_120),multiplication(X_119,X_121)) = multiplication(X_119,addition(X_120,X_121)),
inference(resolve,[$cnf( $equal(multiplication(X_119,addition(X_120,X_121)),addition(multiplication(X_119,X_120),multiplication(X_119,X_121))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( addition(antidomain(multiplication(X_119,X_120)),domain(addition(multiplication(X_119,X_120),multiplication(X_119,X_121)))) != one
| addition(multiplication(X_119,X_120),multiplication(X_119,X_121)) != multiplication(X_119,addition(X_120,X_121))
| addition(antidomain(multiplication(X_119,X_120)),domain(multiplication(X_119,addition(X_120,X_121)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_119,X_120)),domain(addition(multiplication(X_119,X_120),multiplication(X_119,X_121)))),one) ),[0,1,0],$fot(multiplication(X_119,addition(X_120,X_121)))]]) ).
cnf(refute_0_433,plain,
( addition(antidomain(multiplication(X_119,X_120)),domain(addition(multiplication(X_119,X_120),multiplication(X_119,X_121)))) != one
| addition(antidomain(multiplication(X_119,X_120)),domain(multiplication(X_119,addition(X_120,X_121)))) = one ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_119,X_120),multiplication(X_119,X_121)),multiplication(X_119,addition(X_120,X_121))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
addition(antidomain(multiplication(X_119,X_120)),domain(multiplication(X_119,addition(X_120,X_121)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_119,X_120)),domain(addition(multiplication(X_119,X_120),multiplication(X_119,X_121)))),one) )],[refute_0_428,refute_0_433]) ).
cnf(refute_0_435,plain,
addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(X_234,addition(one,X_187))))) = one,
inference(subst,[],[refute_0_434:[bind(X_119,$fot(X_233)),bind(X_120,$fot(X_234)),bind(X_121,$fot(addition(one,X_187)))]]) ).
cnf(refute_0_436,plain,
addition(addition(B,one),B) = addition(B,addition(B,one)),
inference(subst,[],[refute_0_16:[bind(A,$fot(addition(B,one)))]]) ).
cnf(refute_0_437,plain,
addition(B,addition(B,one)) = addition(one,B),
inference(subst,[],[refute_0_199:[bind(X_47,$fot(B))]]) ).
cnf(refute_0_438,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_439,plain,
( addition(addition(B,one),B) != addition(B,addition(B,one))
| addition(addition(B,one),B) = addition(one,B) ),
inference(resolve,[$cnf( $equal(addition(B,addition(B,one)),addition(one,B)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
addition(addition(B,one),B) = addition(one,B),
inference(resolve,[$cnf( $equal(addition(addition(B,one),B),addition(B,addition(B,one))) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
addition(addition(B,one),B) = addition(B,addition(one,B)),
inference(subst,[],[refute_0_147:[bind(A,$fot(B)),bind(B,$fot(one)),bind(C,$fot(B))]]) ).
cnf(refute_0_442,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_443,plain,
( addition(addition(B,one),B) != addition(one,B)
| addition(B,addition(one,B)) = addition(one,B) ),
inference(resolve,[$cnf( $equal(addition(addition(B,one),B),addition(B,addition(one,B))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
addition(B,addition(one,B)) = addition(one,B),
inference(resolve,[$cnf( $equal(addition(addition(B,one),B),addition(one,B)) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))) = addition(one,addition(X_52,X_53)),
inference(subst,[],[refute_0_444:[bind(B,$fot(addition(X_52,X_53)))]]) ).
cnf(refute_0_446,plain,
addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_52)),bind(B,$fot(X_53)),bind(C,$fot(addition(one,addition(X_52,X_53))))]]) ).
cnf(refute_0_447,plain,
( addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) != addition(addition(X_52,X_53),addition(one,addition(X_52,X_53)))
| addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))) = addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))))),bind(Y,$fot(addition(addition(X_52,X_53),addition(one,addition(X_52,X_53)))))]]) ).
cnf(refute_0_448,plain,
addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))) = addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),addition(addition(X_52,X_53),addition(one,addition(X_52,X_53)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
( addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))) != addition(X_52,addition(X_53,addition(one,addition(X_52,X_53))))
| addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))) != addition(one,addition(X_52,X_53))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(one,addition(X_52,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))),addition(one,addition(X_52,X_53))) ),[0],$fot(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))))]]) ).
cnf(refute_0_450,plain,
( addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))) != addition(one,addition(X_52,X_53))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(one,addition(X_52,X_53)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))),addition(X_52,addition(X_53,addition(one,addition(X_52,X_53))))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(one,addition(X_52,X_53)),
inference(resolve,[$cnf( $equal(addition(addition(X_52,X_53),addition(one,addition(X_52,X_53))),addition(one,addition(X_52,X_53))) )],[refute_0_445,refute_0_450]) ).
cnf(refute_0_452,plain,
addition(X_52,addition(X_52,addition(one,X_53))) = addition(X_52,addition(one,X_53)),
inference(subst,[],[refute_0_259:[bind(X_53,$fot(X_52)),bind(X_54,$fot(addition(one,X_53)))]]) ).
cnf(refute_0_453,plain,
addition(X_52,addition(X_53,addition(one,X_53))) = addition(addition(X_52,X_53),addition(one,X_53)),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_52)),bind(B,$fot(X_53)),bind(C,$fot(addition(one,X_53)))]]) ).
cnf(refute_0_454,plain,
addition(X_53,addition(one,X_53)) = addition(one,X_53),
inference(subst,[],[refute_0_444:[bind(B,$fot(X_53))]]) ).
cnf(refute_0_455,plain,
( addition(X_52,addition(X_53,addition(one,X_53))) != addition(addition(X_52,X_53),addition(one,X_53))
| addition(X_53,addition(one,X_53)) != addition(one,X_53)
| addition(X_52,addition(one,X_53)) = addition(addition(X_52,X_53),addition(one,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,X_53))),addition(addition(X_52,X_53),addition(one,X_53))) ),[0,1],$fot(addition(one,X_53))]]) ).
cnf(refute_0_456,plain,
( addition(X_52,addition(X_53,addition(one,X_53))) != addition(addition(X_52,X_53),addition(one,X_53))
| addition(X_52,addition(one,X_53)) = addition(addition(X_52,X_53),addition(one,X_53)) ),
inference(resolve,[$cnf( $equal(addition(X_53,addition(one,X_53)),addition(one,X_53)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
addition(X_52,addition(one,X_53)) = addition(addition(X_52,X_53),addition(one,X_53)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,X_53))),addition(addition(X_52,X_53),addition(one,X_53))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
addition(addition(X_15,one),multiplication(domain(addition(X_15,one)),addition(X_15,one))) = multiplication(domain(addition(X_15,one)),addition(X_15,one)),
inference(subst,[],[refute_0_109:[bind(X0,$fot(addition(X_15,one)))]]) ).
cnf(refute_0_459,plain,
domain(addition(X_13,one)) = addition(domain(X_13),domain(one)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(X_13)),bind(X1,$fot(one))]]) ).
cnf(refute_0_460,plain,
( domain(addition(X_13,one)) != addition(domain(X_13),domain(one))
| domain(one) != one
| domain(addition(X_13,one)) = addition(domain(X_13),one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),domain(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_461,plain,
( domain(addition(X_13,one)) != addition(domain(X_13),domain(one))
| domain(addition(X_13,one)) = addition(domain(X_13),one) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_125,refute_0_460]) ).
cnf(refute_0_462,plain,
domain(addition(X_13,one)) = addition(domain(X_13),one),
inference(resolve,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),domain(one))) )],[refute_0_459,refute_0_461]) ).
cnf(refute_0_463,plain,
addition(one,domain(X_13)) = one,
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_464,plain,
addition(domain(X_13),one) = addition(one,domain(X_13)),
inference(subst,[],[refute_0_31:[bind(A,$fot(one)),bind(B,$fot(domain(X_13)))]]) ).
cnf(refute_0_465,plain,
( addition(domain(X_13),one) != addition(one,domain(X_13))
| addition(one,domain(X_13)) != one
| addition(domain(X_13),one) = one ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(domain(X_13),one))),bind(Y,$fot(addition(one,domain(X_13)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_466,plain,
( addition(one,domain(X_13)) != one
| addition(domain(X_13),one) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),one),addition(one,domain(X_13))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
addition(domain(X_13),one) = one,
inference(resolve,[$cnf( $equal(addition(one,domain(X_13)),one) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
( addition(domain(X_13),one) != one
| domain(addition(X_13,one)) != addition(domain(X_13),one)
| domain(addition(X_13,one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),one)) ),[1],$fot(one)]]) ).
cnf(refute_0_469,plain,
( domain(addition(X_13,one)) != addition(domain(X_13),one)
| domain(addition(X_13,one)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),one),one) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
domain(addition(X_13,one)) = one,
inference(resolve,[$cnf( $equal(domain(addition(X_13,one)),addition(domain(X_13),one)) )],[refute_0_462,refute_0_469]) ).
cnf(refute_0_471,plain,
domain(addition(X_15,one)) = one,
inference(subst,[],[refute_0_470:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_472,plain,
( addition(addition(X_15,one),multiplication(domain(addition(X_15,one)),addition(X_15,one))) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| domain(addition(X_15,one)) != one
| addition(addition(X_15,one),multiplication(one,addition(X_15,one))) = multiplication(domain(addition(X_15,one)),addition(X_15,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_15,one),multiplication(domain(addition(X_15,one)),addition(X_15,one))),multiplication(domain(addition(X_15,one)),addition(X_15,one))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_473,plain,
( addition(addition(X_15,one),multiplication(domain(addition(X_15,one)),addition(X_15,one))) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| addition(addition(X_15,one),multiplication(one,addition(X_15,one))) = multiplication(domain(addition(X_15,one)),addition(X_15,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(X_15,one)),one) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
addition(addition(X_15,one),multiplication(one,addition(X_15,one))) = multiplication(domain(addition(X_15,one)),addition(X_15,one)),
inference(resolve,[$cnf( $equal(addition(addition(X_15,one),multiplication(domain(addition(X_15,one)),addition(X_15,one))),multiplication(domain(addition(X_15,one)),addition(X_15,one))) )],[refute_0_458,refute_0_473]) ).
cnf(refute_0_475,plain,
multiplication(one,addition(X_15,one)) = addition(X_15,one),
inference(subst,[],[refute_0_39:[bind(A,$fot(addition(X_15,one)))]]) ).
cnf(refute_0_476,plain,
addition(one,multiplication(one,addition(X_15,one))) = addition(one,multiplication(one,addition(X_15,one))),
introduced(tautology,[refl,[$fot(addition(one,multiplication(one,addition(X_15,one))))]]) ).
cnf(refute_0_477,plain,
( addition(one,multiplication(one,addition(X_15,one))) != addition(one,multiplication(one,addition(X_15,one)))
| multiplication(one,addition(X_15,one)) != addition(X_15,one)
| addition(one,multiplication(one,addition(X_15,one))) = addition(one,addition(X_15,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(one,addition(X_15,one))),addition(one,multiplication(one,addition(X_15,one)))) ),[1,1],$fot(addition(X_15,one))]]) ).
cnf(refute_0_478,plain,
( multiplication(one,addition(X_15,one)) != addition(X_15,one)
| addition(one,multiplication(one,addition(X_15,one))) = addition(one,addition(X_15,one)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,addition(X_15,one))),addition(one,multiplication(one,addition(X_15,one)))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
addition(one,multiplication(one,addition(X_15,one))) = addition(one,addition(X_15,one)),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_15,one)),addition(X_15,one)) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
addition(X_15,addition(one,multiplication(one,addition(X_15,one)))) = addition(X_15,addition(one,multiplication(one,addition(X_15,one)))),
introduced(tautology,[refl,[$fot(addition(X_15,addition(one,multiplication(one,addition(X_15,one)))))]]) ).
cnf(refute_0_481,plain,
( addition(X_15,addition(one,multiplication(one,addition(X_15,one)))) != addition(X_15,addition(one,multiplication(one,addition(X_15,one))))
| addition(one,multiplication(one,addition(X_15,one))) != addition(one,addition(X_15,one))
| addition(X_15,addition(one,multiplication(one,addition(X_15,one)))) = addition(X_15,addition(one,addition(X_15,one))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_15,addition(one,multiplication(one,addition(X_15,one)))),addition(X_15,addition(one,multiplication(one,addition(X_15,one))))) ),[1,1],$fot(addition(one,addition(X_15,one)))]]) ).
cnf(refute_0_482,plain,
( addition(one,multiplication(one,addition(X_15,one))) != addition(one,addition(X_15,one))
| addition(X_15,addition(one,multiplication(one,addition(X_15,one)))) = addition(X_15,addition(one,addition(X_15,one))) ),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,multiplication(one,addition(X_15,one)))),addition(X_15,addition(one,multiplication(one,addition(X_15,one))))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
addition(X_15,addition(one,multiplication(one,addition(X_15,one)))) = addition(X_15,addition(one,addition(X_15,one))),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,addition(X_15,one))),addition(one,addition(X_15,one))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
addition(addition(X_15,one),multiplication(one,addition(X_15,one))) = addition(X_15,addition(one,multiplication(one,addition(X_15,one)))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_15)),bind(B,$fot(one)),bind(C,$fot(multiplication(one,addition(X_15,one))))]]) ).
cnf(refute_0_485,plain,
( addition(X_15,addition(one,multiplication(one,addition(X_15,one)))) != addition(X_15,addition(one,addition(X_15,one)))
| addition(addition(X_15,one),multiplication(one,addition(X_15,one))) != addition(X_15,addition(one,multiplication(one,addition(X_15,one))))
| addition(addition(X_15,one),multiplication(one,addition(X_15,one))) = addition(X_15,addition(one,addition(X_15,one))) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(addition(X_15,one),multiplication(one,addition(X_15,one))))),bind(Y,$fot(addition(X_15,addition(one,multiplication(one,addition(X_15,one)))))),bind(Z,$fot(addition(X_15,addition(one,addition(X_15,one)))))]]) ).
cnf(refute_0_486,plain,
( addition(X_15,addition(one,multiplication(one,addition(X_15,one)))) != addition(X_15,addition(one,addition(X_15,one)))
| addition(addition(X_15,one),multiplication(one,addition(X_15,one))) = addition(X_15,addition(one,addition(X_15,one))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_15,one),multiplication(one,addition(X_15,one))),addition(X_15,addition(one,multiplication(one,addition(X_15,one))))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
addition(addition(X_15,one),multiplication(one,addition(X_15,one))) = addition(X_15,addition(one,addition(X_15,one))),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,multiplication(one,addition(X_15,one)))),addition(X_15,addition(one,addition(X_15,one)))) )],[refute_0_483,refute_0_486]) ).
cnf(refute_0_488,plain,
( addition(addition(X_15,one),multiplication(one,addition(X_15,one))) != addition(X_15,addition(one,addition(X_15,one)))
| addition(addition(X_15,one),multiplication(one,addition(X_15,one))) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| addition(X_15,addition(one,addition(X_15,one))) = multiplication(domain(addition(X_15,one)),addition(X_15,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_15,one),multiplication(one,addition(X_15,one))),multiplication(domain(addition(X_15,one)),addition(X_15,one))) ),[0],$fot(addition(X_15,addition(one,addition(X_15,one))))]]) ).
cnf(refute_0_489,plain,
( addition(addition(X_15,one),multiplication(one,addition(X_15,one))) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| addition(X_15,addition(one,addition(X_15,one))) = multiplication(domain(addition(X_15,one)),addition(X_15,one)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_15,one),multiplication(one,addition(X_15,one))),addition(X_15,addition(one,addition(X_15,one)))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
multiplication(domain(addition(X_15,one)),addition(X_15,one)) = multiplication(domain(addition(X_15,one)),addition(X_15,one)),
introduced(tautology,[refl,[$fot(multiplication(domain(addition(X_15,one)),addition(X_15,one)))]]) ).
cnf(refute_0_491,plain,
( domain(addition(X_15,one)) != one
| multiplication(domain(addition(X_15,one)),addition(X_15,one)) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| multiplication(domain(addition(X_15,one)),addition(X_15,one)) = multiplication(one,addition(X_15,one)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(X_15,one)),addition(X_15,one)),multiplication(domain(addition(X_15,one)),addition(X_15,one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_492,plain,
( domain(addition(X_15,one)) != one
| multiplication(domain(addition(X_15,one)),addition(X_15,one)) = multiplication(one,addition(X_15,one)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_15,one)),addition(X_15,one)),multiplication(domain(addition(X_15,one)),addition(X_15,one))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
multiplication(domain(addition(X_15,one)),addition(X_15,one)) = multiplication(one,addition(X_15,one)),
inference(resolve,[$cnf( $equal(domain(addition(X_15,one)),one) )],[refute_0_471,refute_0_492]) ).
cnf(refute_0_494,plain,
( multiplication(domain(addition(X_15,one)),addition(X_15,one)) != multiplication(one,addition(X_15,one))
| multiplication(one,addition(X_15,one)) != addition(X_15,one)
| multiplication(domain(addition(X_15,one)),addition(X_15,one)) = addition(X_15,one) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(multiplication(domain(addition(X_15,one)),addition(X_15,one)))),bind(Y,$fot(multiplication(one,addition(X_15,one)))),bind(Z,$fot(addition(X_15,one)))]]) ).
cnf(refute_0_495,plain,
( multiplication(one,addition(X_15,one)) != addition(X_15,one)
| multiplication(domain(addition(X_15,one)),addition(X_15,one)) = addition(X_15,one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_15,one)),addition(X_15,one)),multiplication(one,addition(X_15,one))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
multiplication(domain(addition(X_15,one)),addition(X_15,one)) = addition(X_15,one),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_15,one)),addition(X_15,one)) )],[refute_0_475,refute_0_495]) ).
cnf(refute_0_497,plain,
( addition(X_15,addition(one,addition(X_15,one))) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| multiplication(domain(addition(X_15,one)),addition(X_15,one)) != addition(X_15,one)
| addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_15,addition(one,addition(X_15,one))),addition(X_15,one)) ),[0],$fot(multiplication(domain(addition(X_15,one)),addition(X_15,one)))]]) ).
cnf(refute_0_498,plain,
( addition(X_15,addition(one,addition(X_15,one))) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(X_15,one)),addition(X_15,one)),addition(X_15,one)) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
( addition(addition(X_15,one),multiplication(one,addition(X_15,one))) != multiplication(domain(addition(X_15,one)),addition(X_15,one))
| addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,one) ),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,addition(X_15,one))),multiplication(domain(addition(X_15,one)),addition(X_15,one))) )],[refute_0_489,refute_0_498]) ).
cnf(refute_0_500,plain,
addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,one),
inference(resolve,[$cnf( $equal(addition(addition(X_15,one),multiplication(one,addition(X_15,one))),multiplication(domain(addition(X_15,one)),addition(X_15,one))) )],[refute_0_474,refute_0_499]) ).
cnf(refute_0_501,plain,
addition(X_15,addition(one,X_15)) = addition(one,X_15),
inference(subst,[],[refute_0_444:[bind(B,$fot(X_15))]]) ).
cnf(refute_0_502,plain,
addition(one,addition(X_15,one)) = addition(one,X_15),
inference(subst,[],[refute_0_215:[bind(X_50,$fot(X_15))]]) ).
cnf(refute_0_503,plain,
addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,addition(one,addition(X_15,one))),
introduced(tautology,[refl,[$fot(addition(X_15,addition(one,addition(X_15,one))))]]) ).
cnf(refute_0_504,plain,
( addition(X_15,addition(one,addition(X_15,one))) != addition(X_15,addition(one,addition(X_15,one)))
| addition(one,addition(X_15,one)) != addition(one,X_15)
| addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,addition(one,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_15,addition(one,addition(X_15,one))),addition(X_15,addition(one,addition(X_15,one)))) ),[1,1],$fot(addition(one,X_15))]]) ).
cnf(refute_0_505,plain,
( addition(one,addition(X_15,one)) != addition(one,X_15)
| addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,addition(one,X_15)) ),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,addition(X_15,one))),addition(X_15,addition(one,addition(X_15,one)))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
addition(X_15,addition(one,addition(X_15,one))) = addition(X_15,addition(one,X_15)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_15,one)),addition(one,X_15)) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
( addition(X_15,addition(one,X_15)) != addition(one,X_15)
| addition(X_15,addition(one,addition(X_15,one))) != addition(X_15,addition(one,X_15))
| addition(X_15,addition(one,addition(X_15,one))) = addition(one,X_15) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(X_15,addition(one,addition(X_15,one))))),bind(Y,$fot(addition(X_15,addition(one,X_15)))),bind(Z,$fot(addition(one,X_15)))]]) ).
cnf(refute_0_508,plain,
( addition(X_15,addition(one,X_15)) != addition(one,X_15)
| addition(X_15,addition(one,addition(X_15,one))) = addition(one,X_15) ),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,addition(X_15,one))),addition(X_15,addition(one,X_15))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
addition(X_15,addition(one,addition(X_15,one))) = addition(one,X_15),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,X_15)),addition(one,X_15)) )],[refute_0_501,refute_0_508]) ).
cnf(refute_0_510,plain,
( addition(X_15,addition(one,addition(X_15,one))) != addition(X_15,one)
| addition(X_15,addition(one,addition(X_15,one))) != addition(one,X_15)
| addition(one,X_15) = addition(X_15,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_15,addition(one,addition(X_15,one))),addition(X_15,one)) ),[0],$fot(addition(one,X_15))]]) ).
cnf(refute_0_511,plain,
( addition(X_15,addition(one,addition(X_15,one))) != addition(X_15,one)
| addition(one,X_15) = addition(X_15,one) ),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,addition(X_15,one))),addition(one,X_15)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
addition(one,X_15) = addition(X_15,one),
inference(resolve,[$cnf( $equal(addition(X_15,addition(one,addition(X_15,one))),addition(X_15,one)) )],[refute_0_500,refute_0_511]) ).
cnf(refute_0_513,plain,
( addition(one,X_15) != addition(X_15,one)
| addition(X_15,one) = addition(one,X_15) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(one,X_15))),bind(Y,$fot(addition(X_15,one)))]]) ).
cnf(refute_0_514,plain,
addition(X_15,one) = addition(one,X_15),
inference(resolve,[$cnf( $equal(addition(one,X_15),addition(X_15,one)) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
addition(addition(X_52,X_53),one) = addition(one,addition(X_52,X_53)),
inference(subst,[],[refute_0_514:[bind(X_15,$fot(addition(X_52,X_53)))]]) ).
cnf(refute_0_516,plain,
addition(X_53,addition(addition(X_52,X_53),one)) = addition(X_53,addition(addition(X_52,X_53),one)),
introduced(tautology,[refl,[$fot(addition(X_53,addition(addition(X_52,X_53),one)))]]) ).
cnf(refute_0_517,plain,
( addition(X_53,addition(addition(X_52,X_53),one)) != addition(X_53,addition(addition(X_52,X_53),one))
| addition(addition(X_52,X_53),one) != addition(one,addition(X_52,X_53))
| addition(X_53,addition(addition(X_52,X_53),one)) = addition(X_53,addition(one,addition(X_52,X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_53,addition(addition(X_52,X_53),one)),addition(X_53,addition(addition(X_52,X_53),one))) ),[1,1],$fot(addition(one,addition(X_52,X_53)))]]) ).
cnf(refute_0_518,plain,
( addition(addition(X_52,X_53),one) != addition(one,addition(X_52,X_53))
| addition(X_53,addition(addition(X_52,X_53),one)) = addition(X_53,addition(one,addition(X_52,X_53))) ),
inference(resolve,[$cnf( $equal(addition(X_53,addition(addition(X_52,X_53),one)),addition(X_53,addition(addition(X_52,X_53),one))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
addition(X_53,addition(addition(X_52,X_53),one)) = addition(X_53,addition(one,addition(X_52,X_53))),
inference(resolve,[$cnf( $equal(addition(addition(X_52,X_53),one),addition(one,addition(X_52,X_53))) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
addition(addition(X_52,X_53),addition(one,X_53)) = addition(X_53,addition(addition(X_52,X_53),one)),
inference(subst,[],[refute_0_243:[bind(A,$fot(X_53)),bind(X_52,$fot(addition(X_52,X_53))),bind(X_53,$fot(one))]]) ).
cnf(refute_0_521,plain,
( addition(X_53,addition(addition(X_52,X_53),one)) != addition(X_53,addition(one,addition(X_52,X_53)))
| addition(addition(X_52,X_53),addition(one,X_53)) != addition(X_53,addition(addition(X_52,X_53),one))
| addition(addition(X_52,X_53),addition(one,X_53)) = addition(X_53,addition(one,addition(X_52,X_53))) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(addition(X_52,X_53),addition(one,X_53)))),bind(Y,$fot(addition(X_53,addition(addition(X_52,X_53),one)))),bind(Z,$fot(addition(X_53,addition(one,addition(X_52,X_53)))))]]) ).
cnf(refute_0_522,plain,
( addition(X_53,addition(addition(X_52,X_53),one)) != addition(X_53,addition(one,addition(X_52,X_53)))
| addition(addition(X_52,X_53),addition(one,X_53)) = addition(X_53,addition(one,addition(X_52,X_53))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_52,X_53),addition(one,X_53)),addition(X_53,addition(addition(X_52,X_53),one))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
addition(addition(X_52,X_53),addition(one,X_53)) = addition(X_53,addition(one,addition(X_52,X_53))),
inference(resolve,[$cnf( $equal(addition(X_53,addition(addition(X_52,X_53),one)),addition(X_53,addition(one,addition(X_52,X_53)))) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
( addition(X_52,addition(one,X_53)) != addition(addition(X_52,X_53),addition(one,X_53))
| addition(addition(X_52,X_53),addition(one,X_53)) != addition(X_53,addition(one,addition(X_52,X_53)))
| addition(X_52,addition(one,X_53)) = addition(X_53,addition(one,addition(X_52,X_53))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_52,addition(one,X_53)),addition(X_53,addition(one,addition(X_52,X_53)))) ),[0],$fot(addition(addition(X_52,X_53),addition(one,X_53)))]]) ).
cnf(refute_0_525,plain,
( addition(X_52,addition(one,X_53)) != addition(addition(X_52,X_53),addition(one,X_53))
| addition(X_52,addition(one,X_53)) = addition(X_53,addition(one,addition(X_52,X_53))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_52,X_53),addition(one,X_53)),addition(X_53,addition(one,addition(X_52,X_53)))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
addition(X_52,addition(one,X_53)) = addition(X_53,addition(one,addition(X_52,X_53))),
inference(resolve,[$cnf( $equal(addition(X_52,addition(one,X_53)),addition(addition(X_52,X_53),addition(one,X_53))) )],[refute_0_457,refute_0_525]) ).
cnf(refute_0_527,plain,
( addition(X_52,addition(one,X_53)) != addition(X_53,addition(one,addition(X_52,X_53)))
| addition(X_53,addition(one,addition(X_52,X_53))) = addition(X_52,addition(one,X_53)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_52,addition(one,X_53)))),bind(Y,$fot(addition(X_53,addition(one,addition(X_52,X_53)))))]]) ).
cnf(refute_0_528,plain,
addition(X_53,addition(one,addition(X_52,X_53))) = addition(X_52,addition(one,X_53)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(one,X_53)),addition(X_53,addition(one,addition(X_52,X_53)))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),
introduced(tautology,[refl,[$fot(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))))]]) ).
cnf(refute_0_530,plain,
( addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) != addition(X_52,addition(X_53,addition(one,addition(X_52,X_53))))
| addition(X_53,addition(one,addition(X_52,X_53))) != addition(X_52,addition(one,X_53))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(X_52,addition(X_52,addition(one,X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),addition(X_52,addition(X_53,addition(one,addition(X_52,X_53))))) ),[1,1],$fot(addition(X_52,addition(one,X_53)))]]) ).
cnf(refute_0_531,plain,
( addition(X_53,addition(one,addition(X_52,X_53))) != addition(X_52,addition(one,X_53))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(X_52,addition(X_52,addition(one,X_53))) ),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),addition(X_52,addition(X_53,addition(one,addition(X_52,X_53))))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(X_52,addition(X_52,addition(one,X_53))),
inference(resolve,[$cnf( $equal(addition(X_53,addition(one,addition(X_52,X_53))),addition(X_52,addition(one,X_53))) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
( addition(X_52,addition(X_52,addition(one,X_53))) != addition(X_52,addition(one,X_53))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) != addition(X_52,addition(X_52,addition(one,X_53)))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(X_52,addition(one,X_53)) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))))),bind(Y,$fot(addition(X_52,addition(X_52,addition(one,X_53))))),bind(Z,$fot(addition(X_52,addition(one,X_53))))]]) ).
cnf(refute_0_534,plain,
( addition(X_52,addition(X_52,addition(one,X_53))) != addition(X_52,addition(one,X_53))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(X_52,addition(one,X_53)) ),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),addition(X_52,addition(X_52,addition(one,X_53)))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) = addition(X_52,addition(one,X_53)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_52,addition(one,X_53))),addition(X_52,addition(one,X_53))) )],[refute_0_452,refute_0_534]) ).
cnf(refute_0_536,plain,
( addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) != addition(X_52,addition(one,X_53))
| addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) != addition(one,addition(X_52,X_53))
| addition(X_52,addition(one,X_53)) = addition(one,addition(X_52,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),addition(one,addition(X_52,X_53))) ),[0],$fot(addition(X_52,addition(one,X_53)))]]) ).
cnf(refute_0_537,plain,
( addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))) != addition(one,addition(X_52,X_53))
| addition(X_52,addition(one,X_53)) = addition(one,addition(X_52,X_53)) ),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),addition(X_52,addition(one,X_53))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
addition(X_52,addition(one,X_53)) = addition(one,addition(X_52,X_53)),
inference(resolve,[$cnf( $equal(addition(X_52,addition(X_53,addition(one,addition(X_52,X_53)))),addition(one,addition(X_52,X_53))) )],[refute_0_451,refute_0_537]) ).
cnf(refute_0_539,plain,
addition(X_186,addition(one,X_187)) = addition(one,addition(X_186,X_187)),
inference(subst,[],[refute_0_538:[bind(X_52,$fot(X_186)),bind(X_53,$fot(X_187))]]) ).
cnf(refute_0_540,plain,
addition(X_187,X_186) = addition(X_186,X_187),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_187)),bind(B,$fot(X_186))]]) ).
cnf(refute_0_541,plain,
( addition(X_187,X_186) != addition(X_186,X_187)
| addition(X_186,X_187) = addition(X_187,X_186) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_187,X_186))),bind(Y,$fot(addition(X_186,X_187)))]]) ).
cnf(refute_0_542,plain,
addition(X_186,X_187) = addition(X_187,X_186),
inference(resolve,[$cnf( $equal(addition(X_187,X_186),addition(X_186,X_187)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( addition(X_186,X_187) != addition(X_187,X_186)
| addition(X_186,addition(one,X_187)) != addition(one,addition(X_186,X_187))
| addition(X_186,addition(one,X_187)) = addition(one,addition(X_187,X_186)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_186,addition(one,X_187)),addition(one,addition(X_186,X_187))) ),[1,1],$fot(addition(X_187,X_186))]]) ).
cnf(refute_0_544,plain,
( addition(X_186,addition(one,X_187)) != addition(one,addition(X_186,X_187))
| addition(X_186,addition(one,X_187)) = addition(one,addition(X_187,X_186)) ),
inference(resolve,[$cnf( $equal(addition(X_186,X_187),addition(X_187,X_186)) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
addition(X_186,addition(one,X_187)) = addition(one,addition(X_187,X_186)),
inference(resolve,[$cnf( $equal(addition(X_186,addition(one,X_187)),addition(one,addition(X_186,X_187))) )],[refute_0_539,refute_0_544]) ).
cnf(refute_0_546,plain,
addition(X_234,addition(one,X_187)) = addition(one,addition(X_187,X_234)),
inference(subst,[],[refute_0_545:[bind(X_186,$fot(X_234))]]) ).
cnf(refute_0_547,plain,
( addition(X_234,addition(one,X_187)) != addition(one,addition(X_187,X_234))
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(X_234,addition(one,X_187))))) != one
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(X_234,addition(one,X_187))))),one) ),[0,1,0,1],$fot(addition(one,addition(X_187,X_234)))]]) ).
cnf(refute_0_548,plain,
( addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(X_234,addition(one,X_187))))) != one
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = one ),
inference(resolve,[$cnf( $equal(addition(X_234,addition(one,X_187)),addition(one,addition(X_187,X_234))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(X_234,addition(one,X_187))))),one) )],[refute_0_435,refute_0_548]) ).
cnf(refute_0_550,plain,
addition(antidomain(multiplication(X_233,X_234)),domain(X_233)) = addition(domain(X_233),antidomain(multiplication(X_233,X_234))),
inference(subst,[],[refute_0_31:[bind(A,$fot(domain(X_233))),bind(B,$fot(antidomain(multiplication(X_233,X_234))))]]) ).
cnf(refute_0_551,plain,
domain(multiplication(X_29,addition(one,X_14))) = domain(multiplication(X_29,domain(addition(one,X_14)))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_29)),bind(X1,$fot(addition(one,X_14)))]]) ).
cnf(refute_0_552,plain,
( domain(addition(one,X_14)) != one
| domain(multiplication(X_29,addition(one,X_14))) != domain(multiplication(X_29,domain(addition(one,X_14))))
| domain(multiplication(X_29,addition(one,X_14))) = domain(multiplication(X_29,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_29,addition(one,X_14))),domain(multiplication(X_29,domain(addition(one,X_14))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_553,plain,
( domain(multiplication(X_29,addition(one,X_14))) != domain(multiplication(X_29,domain(addition(one,X_14))))
| domain(multiplication(X_29,addition(one,X_14))) = domain(multiplication(X_29,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),one) )],[refute_0_132,refute_0_552]) ).
cnf(refute_0_554,plain,
domain(multiplication(X_29,addition(one,X_14))) = domain(multiplication(X_29,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,addition(one,X_14))),domain(multiplication(X_29,domain(addition(one,X_14))))) )],[refute_0_551,refute_0_553]) ).
cnf(refute_0_555,plain,
multiplication(X_29,one) = X_29,
inference(subst,[],[refute_0_3:[bind(A,$fot(X_29))]]) ).
cnf(refute_0_556,plain,
domain(multiplication(X_29,one)) = domain(multiplication(X_29,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X_29,one)))]]) ).
cnf(refute_0_557,plain,
( domain(multiplication(X_29,one)) != domain(multiplication(X_29,one))
| multiplication(X_29,one) != X_29
| domain(multiplication(X_29,one)) = domain(X_29) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_29,one)),domain(multiplication(X_29,one))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_558,plain,
( multiplication(X_29,one) != X_29
| domain(multiplication(X_29,one)) = domain(X_29) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,one)),domain(multiplication(X_29,one))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
domain(multiplication(X_29,one)) = domain(X_29),
inference(resolve,[$cnf( $equal(multiplication(X_29,one),X_29) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
( domain(multiplication(X_29,addition(one,X_14))) != domain(multiplication(X_29,one))
| domain(multiplication(X_29,one)) != domain(X_29)
| domain(multiplication(X_29,addition(one,X_14))) = domain(X_29) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X_29,addition(one,X_14))),domain(X_29)) ),[0],$fot(domain(multiplication(X_29,one)))]]) ).
cnf(refute_0_561,plain,
( domain(multiplication(X_29,addition(one,X_14))) != domain(multiplication(X_29,one))
| domain(multiplication(X_29,addition(one,X_14))) = domain(X_29) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,one)),domain(X_29)) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
domain(multiplication(X_29,addition(one,X_14))) = domain(X_29),
inference(resolve,[$cnf( $equal(domain(multiplication(X_29,addition(one,X_14))),domain(multiplication(X_29,one))) )],[refute_0_554,refute_0_561]) ).
cnf(refute_0_563,plain,
domain(multiplication(X_233,addition(one,addition(X_187,X_234)))) = domain(X_233),
inference(subst,[],[refute_0_562:[bind(X_14,$fot(addition(X_187,X_234))),bind(X_29,$fot(X_233))]]) ).
cnf(refute_0_564,plain,
addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))))]]) ).
cnf(refute_0_565,plain,
( addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) != addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234)))))
| domain(multiplication(X_233,addition(one,addition(X_187,X_234)))) != domain(X_233)
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = addition(antidomain(multiplication(X_233,X_234)),domain(X_233)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))),addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234)))))) ),[1,1],$fot(domain(X_233))]]) ).
cnf(refute_0_566,plain,
( domain(multiplication(X_233,addition(one,addition(X_187,X_234)))) != domain(X_233)
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = addition(antidomain(multiplication(X_233,X_234)),domain(X_233)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))),addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234)))))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = addition(antidomain(multiplication(X_233,X_234)),domain(X_233)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_233,addition(one,addition(X_187,X_234)))),domain(X_233)) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( addition(antidomain(multiplication(X_233,X_234)),domain(X_233)) != addition(domain(X_233),antidomain(multiplication(X_233,X_234)))
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) != addition(antidomain(multiplication(X_233,X_234)),domain(X_233))
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = addition(domain(X_233),antidomain(multiplication(X_233,X_234))) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))))),bind(Y,$fot(addition(antidomain(multiplication(X_233,X_234)),domain(X_233)))),bind(Z,$fot(addition(domain(X_233),antidomain(multiplication(X_233,X_234)))))]]) ).
cnf(refute_0_569,plain,
( addition(antidomain(multiplication(X_233,X_234)),domain(X_233)) != addition(domain(X_233),antidomain(multiplication(X_233,X_234)))
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = addition(domain(X_233),antidomain(multiplication(X_233,X_234))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))),addition(antidomain(multiplication(X_233,X_234)),domain(X_233))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) = addition(domain(X_233),antidomain(multiplication(X_233,X_234))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(X_233)),addition(domain(X_233),antidomain(multiplication(X_233,X_234)))) )],[refute_0_550,refute_0_569]) ).
cnf(refute_0_571,plain,
( addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) != addition(domain(X_233),antidomain(multiplication(X_233,X_234)))
| addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) != one
| addition(domain(X_233),antidomain(multiplication(X_233,X_234))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))),one) ),[0],$fot(addition(domain(X_233),antidomain(multiplication(X_233,X_234))))]]) ).
cnf(refute_0_572,plain,
( addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))) != one
| addition(domain(X_233),antidomain(multiplication(X_233,X_234))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))),addition(domain(X_233),antidomain(multiplication(X_233,X_234)))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
addition(domain(X_233),antidomain(multiplication(X_233,X_234))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_233,X_234)),domain(multiplication(X_233,addition(one,addition(X_187,X_234))))),one) )],[refute_0_549,refute_0_572]) ).
cnf(refute_0_574,plain,
addition(domain(X2),antidomain(multiplication(X2,X_237))) = one,
inference(subst,[],[refute_0_573:[bind(X_233,$fot(X2)),bind(X_234,$fot(X_237))]]) ).
cnf(refute_0_575,plain,
( addition(domain(X2),antidomain(multiplication(X2,X_237))) != one
| multiplication(addition(domain(X2),antidomain(multiplication(X2,X_237))),antidomain(X2)) != multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))
| multiplication(one,antidomain(X2)) = multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X2),antidomain(multiplication(X2,X_237))),antidomain(X2)),multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_576,plain,
( multiplication(addition(domain(X2),antidomain(multiplication(X2,X_237))),antidomain(X2)) != multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))
| multiplication(one,antidomain(X2)) = multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2)) ),
inference(resolve,[$cnf( $equal(addition(domain(X2),antidomain(multiplication(X2,X_237))),one) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiplication(one,antidomain(X2)) = multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X2),antidomain(multiplication(X2,X_237))),antidomain(X2)),multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))) )],[refute_0_427,refute_0_576]) ).
cnf(refute_0_578,plain,
multiplication(one,antidomain(X2)) = antidomain(X2),
inference(subst,[],[refute_0_39:[bind(A,$fot(antidomain(X2)))]]) ).
cnf(refute_0_579,plain,
( multiplication(one,antidomain(X2)) != antidomain(X2)
| multiplication(one,antidomain(X2)) != multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))
| antidomain(X2) = multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,antidomain(X2)),multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))) ),[0],$fot(antidomain(X2))]]) ).
cnf(refute_0_580,plain,
( multiplication(one,antidomain(X2)) != multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))
| antidomain(X2) = multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2)) ),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X2)),antidomain(X2)) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
antidomain(X2) = multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2)),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X2)),multiplication(antidomain(multiplication(X2,X_237)),antidomain(X2))) )],[refute_0_577,refute_0_580]) ).
cnf(refute_0_582,plain,
antidomain(X_1831) = multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)),
inference(subst,[],[refute_0_581:[bind(X2,$fot(X_1831)),bind(X_237,$fot(X_1832))]]) ).
cnf(refute_0_583,plain,
( antidomain(X_1831) != multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831))
| multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)) = antidomain(X_1831) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(antidomain(X_1831))),bind(Y,$fot(multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831))))]]) ).
cnf(refute_0_584,plain,
multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)) = antidomain(X_1831),
inference(resolve,[$cnf( $equal(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
( multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)) != antidomain(X_1831)
| ~ leq(multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))))
| leq(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) ),[0],$fot(antidomain(X_1831))]]) ).
cnf(refute_0_586,plain,
( ~ leq(multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))))
| leq(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)),antidomain(X_1831)) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
leq(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))),
inference(resolve,[$cnf( leq(multiplication(antidomain(multiplication(X_1831,X_1832)),antidomain(X_1831)),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) )],[refute_0_426,refute_0_586]) ).
cnf(refute_0_588,plain,
multiplication(antidomain(multiplication(X_1831,X_1832)),one) = antidomain(multiplication(X_1831,X_1832)),
inference(subst,[],[refute_0_3:[bind(A,$fot(antidomain(multiplication(X_1831,X_1832))))]]) ).
cnf(refute_0_589,plain,
addition(one,antidomain(X_1831)) = one,
inference(subst,[],[refute_0_293:[bind(X_31,$fot(X_1831))]]) ).
cnf(refute_0_590,plain,
multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) = multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))))]]) ).
cnf(refute_0_591,plain,
( addition(one,antidomain(X_1831)) != one
| multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) != multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))
| multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) = multiplication(antidomain(multiplication(X_1831,X_1832)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_592,plain,
( addition(one,antidomain(X_1831)) != one
| multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) = multiplication(antidomain(multiplication(X_1831,X_1832)),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) = multiplication(antidomain(multiplication(X_1831,X_1832)),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_1831)),one) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
( multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) != multiplication(antidomain(multiplication(X_1831,X_1832)),one)
| multiplication(antidomain(multiplication(X_1831,X_1832)),one) != antidomain(multiplication(X_1831,X_1832))
| multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) = antidomain(multiplication(X_1831,X_1832)) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))))),bind(Y,$fot(multiplication(antidomain(multiplication(X_1831,X_1832)),one))),bind(Z,$fot(antidomain(multiplication(X_1831,X_1832))))]]) ).
cnf(refute_0_595,plain,
( multiplication(antidomain(multiplication(X_1831,X_1832)),one) != antidomain(multiplication(X_1831,X_1832))
| multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) = antidomain(multiplication(X_1831,X_1832)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))),multiplication(antidomain(multiplication(X_1831,X_1832)),one)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) = antidomain(multiplication(X_1831,X_1832)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1831,X_1832)),one),antidomain(multiplication(X_1831,X_1832))) )],[refute_0_588,refute_0_595]) ).
cnf(refute_0_597,plain,
( multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))) != antidomain(multiplication(X_1831,X_1832))
| ~ leq(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))))
| leq(antidomain(X_1831),antidomain(multiplication(X_1831,X_1832))) ),
introduced(tautology,[equality,[$cnf( leq(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) ),[1],$fot(antidomain(multiplication(X_1831,X_1832)))]]) ).
cnf(refute_0_598,plain,
( ~ leq(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))))
| leq(antidomain(X_1831),antidomain(multiplication(X_1831,X_1832))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831))),antidomain(multiplication(X_1831,X_1832))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
leq(antidomain(X_1831),antidomain(multiplication(X_1831,X_1832))),
inference(resolve,[$cnf( leq(antidomain(X_1831),multiplication(antidomain(multiplication(X_1831,X_1832)),addition(one,antidomain(X_1831)))) )],[refute_0_587,refute_0_598]) ).
cnf(refute_0_600,plain,
leq(antidomain(domain(X_1834)),antidomain(multiplication(domain(X_1834),X_1834))),
inference(subst,[],[refute_0_599:[bind(X_1831,$fot(domain(X_1834))),bind(X_1832,$fot(X_1834))]]) ).
cnf(refute_0_601,plain,
multiplication(addition(X_126,one),X_128) = addition(multiplication(X_126,X_128),multiplication(one,X_128)),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_126)),bind(B,$fot(one)),bind(C,$fot(X_128))]]) ).
cnf(refute_0_602,plain,
( multiplication(addition(X_126,one),X_128) != addition(multiplication(X_126,X_128),multiplication(one,X_128))
| multiplication(one,X_128) != X_128
| multiplication(addition(X_126,one),X_128) = addition(multiplication(X_126,X_128),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_126,one),X_128),addition(multiplication(X_126,X_128),multiplication(one,X_128))) ),[1,1],$fot(X_128)]]) ).
cnf(refute_0_603,plain,
( multiplication(addition(X_126,one),X_128) != addition(multiplication(X_126,X_128),multiplication(one,X_128))
| multiplication(addition(X_126,one),X_128) = addition(multiplication(X_126,X_128),X_128) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_128),X_128) )],[refute_0_322,refute_0_602]) ).
cnf(refute_0_604,plain,
multiplication(addition(X_126,one),X_128) = addition(multiplication(X_126,X_128),X_128),
inference(resolve,[$cnf( $equal(multiplication(addition(X_126,one),X_128),addition(multiplication(X_126,X_128),multiplication(one,X_128))) )],[refute_0_601,refute_0_603]) ).
cnf(refute_0_605,plain,
addition(multiplication(X_126,X_128),X_128) = addition(X_128,multiplication(X_126,X_128)),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_128)),bind(B,$fot(multiplication(X_126,X_128)))]]) ).
cnf(refute_0_606,plain,
( addition(multiplication(X_126,X_128),X_128) != addition(X_128,multiplication(X_126,X_128))
| multiplication(addition(X_126,one),X_128) != addition(multiplication(X_126,X_128),X_128)
| multiplication(addition(X_126,one),X_128) = addition(X_128,multiplication(X_126,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_126,one),X_128),addition(multiplication(X_126,X_128),X_128)) ),[1],$fot(addition(X_128,multiplication(X_126,X_128)))]]) ).
cnf(refute_0_607,plain,
( multiplication(addition(X_126,one),X_128) != addition(multiplication(X_126,X_128),X_128)
| multiplication(addition(X_126,one),X_128) = addition(X_128,multiplication(X_126,X_128)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_126,X_128),X_128),addition(X_128,multiplication(X_126,X_128))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiplication(addition(X_126,one),X_128) = addition(X_128,multiplication(X_126,X_128)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_126,one),X_128),addition(multiplication(X_126,X_128),X_128)) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
multiplication(addition(domain(X0),one),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(subst,[],[refute_0_608:[bind(X_126,$fot(domain(X0))),bind(X_128,$fot(X0))]]) ).
cnf(refute_0_610,plain,
( multiplication(addition(domain(X0),one),X0) != addition(X0,multiplication(domain(X0),X0))
| addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(addition(X0,multiplication(domain(X0),X0))))]]) ).
cnf(refute_0_611,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(addition(domain(X0),one),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),addition(X0,multiplication(domain(X0),X0))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(addition(domain(X0),one),X0)
| addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) ),[0],$fot(multiplication(addition(domain(X0),one),X0))]]) ).
cnf(refute_0_613,plain,
( addition(X0,multiplication(domain(X0),X0)) != multiplication(domain(X0),X0)
| multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(addition(domain(X0),one),X0)) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(addition(X0,multiplication(domain(X0),X0)),multiplication(domain(X0),X0)) )],[refute_0_109,refute_0_613]) ).
cnf(refute_0_615,plain,
multiplication(one,X0) = X0,
inference(subst,[],[refute_0_39:[bind(A,$fot(X0))]]) ).
cnf(refute_0_616,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(addition(one,domain(X0)),X0),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),X0))]]) ).
cnf(refute_0_617,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_618,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
multiplication(addition(one,domain(X0)),X0) = multiplication(one,X0),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_94,refute_0_618]) ).
cnf(refute_0_620,plain,
( multiplication(addition(one,domain(X0)),X0) != multiplication(one,X0)
| multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(subst,[],[refute_0_150:[bind(X,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Y,$fot(multiplication(one,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_621,plain,
( multiplication(one,X0) != X0
| multiplication(addition(one,domain(X0)),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),multiplication(one,X0)) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
multiplication(addition(one,domain(X0)),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(one,X0),X0) )],[refute_0_615,refute_0_621]) ).
cnf(refute_0_623,plain,
addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) = addition(multiplication(X_126,X_128),multiplication(X_127,X_128)),
inference(subst,[],[refute_0_16:[bind(A,$fot(multiplication(X_127,X_128))),bind(B,$fot(multiplication(X_126,X_128)))]]) ).
cnf(refute_0_624,plain,
multiplication(addition(X_126,X_127),X_128) = addition(multiplication(X_126,X_128),multiplication(X_127,X_128)),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_126)),bind(B,$fot(X_127)),bind(C,$fot(X_128))]]) ).
cnf(refute_0_625,plain,
( multiplication(addition(X_126,X_127),X_128) != addition(multiplication(X_126,X_128),multiplication(X_127,X_128))
| addition(multiplication(X_126,X_128),multiplication(X_127,X_128)) = multiplication(addition(X_126,X_127),X_128) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiplication(addition(X_126,X_127),X_128))),bind(Y,$fot(addition(multiplication(X_126,X_128),multiplication(X_127,X_128))))]]) ).
cnf(refute_0_626,plain,
addition(multiplication(X_126,X_128),multiplication(X_127,X_128)) = multiplication(addition(X_126,X_127),X_128),
inference(resolve,[$cnf( $equal(multiplication(addition(X_126,X_127),X_128),addition(multiplication(X_126,X_128),multiplication(X_127,X_128))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
( addition(multiplication(X_126,X_128),multiplication(X_127,X_128)) != multiplication(addition(X_126,X_127),X_128)
| addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) != addition(multiplication(X_126,X_128),multiplication(X_127,X_128))
| addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) = multiplication(addition(X_126,X_127),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_127,X_128),multiplication(X_126,X_128)),addition(multiplication(X_126,X_128),multiplication(X_127,X_128))) ),[1],$fot(multiplication(addition(X_126,X_127),X_128))]]) ).
cnf(refute_0_628,plain,
( addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) != addition(multiplication(X_126,X_128),multiplication(X_127,X_128))
| addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) = multiplication(addition(X_126,X_127),X_128) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_126,X_128),multiplication(X_127,X_128)),multiplication(addition(X_126,X_127),X_128)) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) = multiplication(addition(X_126,X_127),X_128),
inference(resolve,[$cnf( $equal(addition(multiplication(X_127,X_128),multiplication(X_126,X_128)),addition(multiplication(X_126,X_128),multiplication(X_127,X_128))) )],[refute_0_623,refute_0_628]) ).
cnf(refute_0_630,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_631,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_9,refute_0_630]) ).
cnf(refute_0_632,plain,
addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) = multiplication(addition(X_127,X_126),X_128),
inference(subst,[],[refute_0_631:[bind(A,$fot(X_127)),bind(B,$fot(X_126)),bind(C,$fot(X_128))]]) ).
cnf(refute_0_633,plain,
( addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) != multiplication(addition(X_126,X_127),X_128)
| addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) != multiplication(addition(X_127,X_126),X_128)
| multiplication(addition(X_127,X_126),X_128) = multiplication(addition(X_126,X_127),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_127,X_128),multiplication(X_126,X_128)),multiplication(addition(X_126,X_127),X_128)) ),[0],$fot(multiplication(addition(X_127,X_126),X_128))]]) ).
cnf(refute_0_634,plain,
( addition(multiplication(X_127,X_128),multiplication(X_126,X_128)) != multiplication(addition(X_126,X_127),X_128)
| multiplication(addition(X_127,X_126),X_128) = multiplication(addition(X_126,X_127),X_128) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_127,X_128),multiplication(X_126,X_128)),multiplication(addition(X_127,X_126),X_128)) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
multiplication(addition(X_127,X_126),X_128) = multiplication(addition(X_126,X_127),X_128),
inference(resolve,[$cnf( $equal(addition(multiplication(X_127,X_128),multiplication(X_126,X_128)),multiplication(addition(X_126,X_127),X_128)) )],[refute_0_629,refute_0_634]) ).
cnf(refute_0_636,plain,
( multiplication(addition(X_127,X_126),X_128) != multiplication(addition(X_126,X_127),X_128)
| multiplication(addition(X_126,X_127),X_128) = multiplication(addition(X_127,X_126),X_128) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiplication(addition(X_127,X_126),X_128))),bind(Y,$fot(multiplication(addition(X_126,X_127),X_128)))]]) ).
cnf(refute_0_637,plain,
multiplication(addition(X_126,X_127),X_128) = multiplication(addition(X_127,X_126),X_128),
inference(resolve,[$cnf( $equal(multiplication(addition(X_127,X_126),X_128),multiplication(addition(X_126,X_127),X_128)) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiplication(addition(domain(X0),one),X0) = multiplication(addition(one,domain(X0)),X0),
inference(subst,[],[refute_0_637:[bind(X_126,$fot(domain(X0))),bind(X_127,$fot(one)),bind(X_128,$fot(X0))]]) ).
cnf(refute_0_639,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(addition(one,domain(X0)),X0)
| multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(subst,[],[refute_0_150:[bind(X,$fot(multiplication(addition(domain(X0),one),X0))),bind(Y,$fot(multiplication(addition(one,domain(X0)),X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_640,plain,
( multiplication(addition(one,domain(X0)),X0) != X0
| multiplication(addition(domain(X0),one),X0) = X0 ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(addition(one,domain(X0)),X0)) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
multiplication(addition(domain(X0),one),X0) = X0,
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),X0),X0) )],[refute_0_622,refute_0_640]) ).
cnf(refute_0_642,plain,
( multiplication(addition(domain(X0),one),X0) != X0
| multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_643,plain,
( multiplication(addition(domain(X0),one),X0) != multiplication(domain(X0),X0)
| X0 = multiplication(domain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),X0) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
X0 = multiplication(domain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),X0),multiplication(domain(X0),X0)) )],[refute_0_614,refute_0_643]) ).
cnf(refute_0_645,plain,
X_1834 = multiplication(domain(X_1834),X_1834),
inference(subst,[],[refute_0_644:[bind(X0,$fot(X_1834))]]) ).
cnf(refute_0_646,plain,
( X_1834 != multiplication(domain(X_1834),X_1834)
| multiplication(domain(X_1834),X_1834) = X_1834 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_1834)),bind(Y,$fot(multiplication(domain(X_1834),X_1834)))]]) ).
cnf(refute_0_647,plain,
multiplication(domain(X_1834),X_1834) = X_1834,
inference(resolve,[$cnf( $equal(X_1834,multiplication(domain(X_1834),X_1834)) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
( multiplication(domain(X_1834),X_1834) != X_1834
| ~ leq(antidomain(domain(X_1834)),antidomain(multiplication(domain(X_1834),X_1834)))
| leq(antidomain(domain(X_1834)),antidomain(X_1834)) ),
introduced(tautology,[equality,[$cnf( leq(antidomain(domain(X_1834)),antidomain(multiplication(domain(X_1834),X_1834))) ),[1,0],$fot(X_1834)]]) ).
cnf(refute_0_649,plain,
( ~ leq(antidomain(domain(X_1834)),antidomain(multiplication(domain(X_1834),X_1834)))
| leq(antidomain(domain(X_1834)),antidomain(X_1834)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_1834),X_1834),X_1834) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
leq(antidomain(domain(X_1834)),antidomain(X_1834)),
inference(resolve,[$cnf( leq(antidomain(domain(X_1834)),antidomain(multiplication(domain(X_1834),X_1834))) )],[refute_0_600,refute_0_649]) ).
cnf(refute_0_651,plain,
leq(antidomain(domain(X_1837)),antidomain(X_1837)),
inference(subst,[],[refute_0_650:[bind(X_1834,$fot(X_1837))]]) ).
cnf(refute_0_652,plain,
addition(antidomain(domain(X_1837)),antidomain(X_1837)) = antidomain(X_1837),
inference(resolve,[$cnf( leq(antidomain(domain(X_1837)),antidomain(X_1837)) )],[refute_0_651,refute_0_394]) ).
cnf(refute_0_653,plain,
( antidomain(domain(X_144)) != addition(antidomain(X_144),antidomain(domain(X_144)))
| addition(antidomain(X_144),antidomain(domain(X_144))) = antidomain(domain(X_144)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(antidomain(domain(X_144)))),bind(Y,$fot(addition(antidomain(X_144),antidomain(domain(X_144)))))]]) ).
cnf(refute_0_654,plain,
addition(antidomain(X_144),antidomain(domain(X_144))) = antidomain(domain(X_144)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_144)),addition(antidomain(X_144),antidomain(domain(X_144)))) )],[refute_0_308,refute_0_653]) ).
cnf(refute_0_655,plain,
addition(antidomain(X_1837),antidomain(domain(X_1837))) = antidomain(domain(X_1837)),
inference(subst,[],[refute_0_654:[bind(X_144,$fot(X_1837))]]) ).
cnf(refute_0_656,plain,
( addition(X_475,antidomain(domain(X_476))) != addition(antidomain(domain(X_476)),X_475)
| addition(antidomain(domain(X_476)),X_475) = addition(X_475,antidomain(domain(X_476))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(addition(X_475,antidomain(domain(X_476))))),bind(Y,$fot(addition(antidomain(domain(X_476)),X_475)))]]) ).
cnf(refute_0_657,plain,
addition(antidomain(domain(X_476)),X_475) = addition(X_475,antidomain(domain(X_476))),
inference(resolve,[$cnf( $equal(addition(X_475,antidomain(domain(X_476))),addition(antidomain(domain(X_476)),X_475)) )],[refute_0_387,refute_0_656]) ).
cnf(refute_0_658,plain,
addition(antidomain(domain(X_1837)),antidomain(X_1837)) = addition(antidomain(X_1837),antidomain(domain(X_1837))),
inference(subst,[],[refute_0_657:[bind(X_475,$fot(antidomain(X_1837))),bind(X_476,$fot(X_1837))]]) ).
cnf(refute_0_659,plain,
( addition(antidomain(X_1837),antidomain(domain(X_1837))) != antidomain(domain(X_1837))
| addition(antidomain(domain(X_1837)),antidomain(X_1837)) != addition(antidomain(X_1837),antidomain(domain(X_1837)))
| addition(antidomain(domain(X_1837)),antidomain(X_1837)) = antidomain(domain(X_1837)) ),
inference(subst,[],[refute_0_150:[bind(X,$fot(addition(antidomain(domain(X_1837)),antidomain(X_1837)))),bind(Y,$fot(addition(antidomain(X_1837),antidomain(domain(X_1837))))),bind(Z,$fot(antidomain(domain(X_1837))))]]) ).
cnf(refute_0_660,plain,
( addition(antidomain(X_1837),antidomain(domain(X_1837))) != antidomain(domain(X_1837))
| addition(antidomain(domain(X_1837)),antidomain(X_1837)) = antidomain(domain(X_1837)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_1837)),antidomain(X_1837)),addition(antidomain(X_1837),antidomain(domain(X_1837)))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
addition(antidomain(domain(X_1837)),antidomain(X_1837)) = antidomain(domain(X_1837)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_1837),antidomain(domain(X_1837))),antidomain(domain(X_1837))) )],[refute_0_655,refute_0_660]) ).
cnf(refute_0_662,plain,
( addition(antidomain(domain(X_1837)),antidomain(X_1837)) != antidomain(X_1837)
| addition(antidomain(domain(X_1837)),antidomain(X_1837)) != antidomain(domain(X_1837))
| antidomain(domain(X_1837)) = antidomain(X_1837) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_1837)),antidomain(X_1837)),antidomain(X_1837)) ),[0],$fot(antidomain(domain(X_1837)))]]) ).
cnf(refute_0_663,plain,
( addition(antidomain(domain(X_1837)),antidomain(X_1837)) != antidomain(X_1837)
| antidomain(domain(X_1837)) = antidomain(X_1837) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_1837)),antidomain(X_1837)),antidomain(domain(X_1837))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
antidomain(domain(X_1837)) = antidomain(X_1837),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_1837)),antidomain(X_1837)),antidomain(X_1837)) )],[refute_0_652,refute_0_663]) ).
cnf(refute_0_665,plain,
antidomain(domain(multiplication(X0,X1))) = antidomain(multiplication(X0,X1)),
inference(subst,[],[refute_0_664:[bind(X_1837,$fot(multiplication(X0,X1)))]]) ).
cnf(refute_0_666,plain,
( antidomain(domain(multiplication(X0,X1))) != addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))
| antidomain(domain(multiplication(X0,X1))) != antidomain(multiplication(X0,X1))
| antidomain(multiplication(X0,X1)) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))) ),[0],$fot(antidomain(multiplication(X0,X1)))]]) ).
cnf(refute_0_667,plain,
( antidomain(domain(multiplication(X0,X1))) != addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))
| antidomain(multiplication(X0,X1)) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,X1))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_669,plain,
( addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) != addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))
| antidomain(domain(multiplication(X0,X1))) != antidomain(multiplication(X0,X1))
| addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))),addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))) ),[1,0],$fot(antidomain(multiplication(X0,X1)))]]) ).
cnf(refute_0_670,plain,
( antidomain(domain(multiplication(X0,X1))) != antidomain(multiplication(X0,X1))
| addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))),addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,X1))) )],[refute_0_665,refute_0_670]) ).
cnf(refute_0_672,plain,
( addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| antidomain(multiplication(X0,X1)) != addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))
| antidomain(multiplication(X0,X1)) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(X0,X1)),addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))) ),[1],$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_673,plain,
( antidomain(multiplication(X0,X1)) != addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))
| antidomain(multiplication(X0,X1)) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
( antidomain(domain(multiplication(X0,X1))) != addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))
| antidomain(multiplication(X0,X1)) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,X1)),addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_667,refute_0_673]) ).
cnf(refute_0_675,plain,
antidomain(multiplication(X0,X1)) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),addition(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_392,refute_0_674]) ).
cnf(refute_0_676,plain,
( antidomain(multiplication(X0,X1)) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(antidomain(multiplication(X0,X1)))),bind(Y,$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))))]]) ).
cnf(refute_0_677,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,X1)),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_677:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_679,plain,
( addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) ),[0],$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_680,plain,
( antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_680,refute_0_0]) ).
cnf(refute_0_682,plain,
antidomain(domain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(subst,[],[refute_0_664:[bind(X_1837,$fot(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_683,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) != domain(multiplication(X0,X1))
| antidomain(domain(multiplication(X0,X1))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) ),[0,0],$fot(domain(multiplication(X0,X1)))]]) ).
cnf(refute_0_684,plain,
( antidomain(domain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| antidomain(domain(multiplication(X0,X1))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X1))),domain(multiplication(X0,X1))) )],[refute_0_311,refute_0_683]) ).
cnf(refute_0_685,plain,
antidomain(domain(multiplication(X0,X1))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_682,refute_0_684]) ).
cnf(refute_0_686,plain,
( antidomain(domain(multiplication(X0,X1))) != antidomain(multiplication(X0,X1))
| antidomain(domain(multiplication(X0,X1))) != antidomain(multiplication(X0,domain(X1)))
| antidomain(multiplication(X0,X1)) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) ),[0],$fot(antidomain(multiplication(X0,X1)))]]) ).
cnf(refute_0_687,plain,
( antidomain(domain(multiplication(X0,X1))) != antidomain(multiplication(X0,domain(X1)))
| antidomain(multiplication(X0,X1)) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,X1))) )],[refute_0_665,refute_0_686]) ).
cnf(refute_0_688,plain,
antidomain(multiplication(X0,X1)) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(antidomain(domain(multiplication(X0,X1))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_685,refute_0_687]) ).
cnf(refute_0_689,plain,
( antidomain(multiplication(X0,X1)) != antidomain(multiplication(X0,domain(X1)))
| antidomain(multiplication(X0,domain(X1))) = antidomain(multiplication(X0,X1)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(antidomain(multiplication(X0,X1)))),bind(Y,$fot(antidomain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_690,plain,
antidomain(multiplication(X0,domain(X1))) = antidomain(multiplication(X0,X1)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_690:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_692,plain,
( antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) ),[1],$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_693,plain,
( antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_693,refute_0_681]) ).
cnf(refute_0_695,plain,
antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_696,plain,
$false,
inference(resolve,[$cnf( $equal(antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_695,refute_0_694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : KLE082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 16 15:24:15 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 159.84/160.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 159.84/160.03
% 159.84/160.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 159.84/160.08
%------------------------------------------------------------------------------