%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE063+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 02:15:00 EDT 2022
% Result : Theorem 1.93s 2.15s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 82
% Syntax : Number of formulae : 375 ( 205 unt; 0 def)
% Number of atoms : 615 ( 546 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 481 ( 241 ~; 231 |; 3 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 458 ( 29 sgn 69 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_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(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] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
=> addition(domain(X0),domain(X1)) = domain(X1) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
=> addition(domain(X0),domain(X1)) = domain(X1) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
=> addition(domain(X0),domain(X1)) = domain(X1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[domain5]) ).
fof(normalize_0_1,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[domain2]) ).
fof(normalize_0_3,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_5,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_7,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_11,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_12,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
? [X0,X1] :
( addition(domain(X0),domain(X1)) != domain(X1)
& addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_14,plain,
( addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1)
& addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) = multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0) ),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) = multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_17,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_19,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_21,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_23,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0] : addition(domain(X0),one) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_25,plain,
! [X0] : addition(domain(X0),one) = one,
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_27,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1),
inference(conjunct,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
domain(addition(domain(X_19),X1)) = addition(domain(domain(X_19)),domain(X1)),
inference(subst,[],[refute_0_0:[bind(X0,$fot(domain(X_19)))]]) ).
cnf(refute_0_2,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
domain(multiplication(one,X_18)) = domain(multiplication(one,domain(X_18))),
inference(subst,[],[refute_0_2:[bind(X0,$fot(one)),bind(X1,$fot(X_18))]]) ).
cnf(refute_0_4,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
multiplication(one,domain(X_18)) = domain(X_18),
inference(subst,[],[refute_0_4:[bind(A,$fot(domain(X_18)))]]) ).
cnf(refute_0_6,plain,
( domain(multiplication(one,X_18)) != domain(multiplication(one,domain(X_18)))
| multiplication(one,domain(X_18)) != domain(X_18)
| domain(multiplication(one,X_18)) = domain(domain(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_18)),domain(multiplication(one,domain(X_18)))) ),[1,0],$fot(domain(X_18))]]) ).
cnf(refute_0_7,plain,
( domain(multiplication(one,X_18)) != domain(multiplication(one,domain(X_18)))
| domain(multiplication(one,X_18)) = domain(domain(X_18)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_18)),domain(X_18)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
domain(multiplication(one,X_18)) = domain(domain(X_18)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_18)),domain(multiplication(one,domain(X_18)))) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
multiplication(one,X_18) = X_18,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_18))]]) ).
cnf(refute_0_10,plain,
domain(multiplication(one,X_18)) = domain(multiplication(one,X_18)),
introduced(tautology,[refl,[$fot(domain(multiplication(one,X_18)))]]) ).
cnf(refute_0_11,plain,
( domain(multiplication(one,X_18)) != domain(multiplication(one,X_18))
| multiplication(one,X_18) != X_18
| domain(multiplication(one,X_18)) = domain(X_18) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_18)),domain(multiplication(one,X_18))) ),[1,0],$fot(X_18)]]) ).
cnf(refute_0_12,plain,
( multiplication(one,X_18) != X_18
| domain(multiplication(one,X_18)) = domain(X_18) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_18)),domain(multiplication(one,X_18))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
domain(multiplication(one,X_18)) = domain(X_18),
inference(resolve,[$cnf( $equal(multiplication(one,X_18),X_18) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
( domain(multiplication(one,X_18)) != domain(X_18)
| domain(multiplication(one,X_18)) != domain(domain(X_18))
| domain(X_18) = domain(domain(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(one,X_18)),domain(domain(X_18))) ),[0],$fot(domain(X_18))]]) ).
cnf(refute_0_15,plain,
( domain(multiplication(one,X_18)) != domain(domain(X_18))
| domain(X_18) = domain(domain(X_18)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_18)),domain(X_18)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
domain(X_18) = domain(domain(X_18)),
inference(resolve,[$cnf( $equal(domain(multiplication(one,X_18)),domain(domain(X_18))) )],[refute_0_8,refute_0_15]) ).
cnf(refute_0_17,plain,
domain(X_19) = domain(domain(X_19)),
inference(subst,[],[refute_0_16:[bind(X_18,$fot(X_19))]]) ).
cnf(refute_0_18,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_19,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_20,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( domain(X_19) != domain(domain(X_19))
| domain(domain(X_19)) = domain(X_19) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(domain(X_19))),bind(Y,$fot(domain(domain(X_19))))]]) ).
cnf(refute_0_22,plain,
domain(domain(X_19)) = domain(X_19),
inference(resolve,[$cnf( $equal(domain(X_19),domain(domain(X_19))) )],[refute_0_17,refute_0_21]) ).
cnf(refute_0_23,plain,
( domain(addition(domain(X_19),X1)) != addition(domain(domain(X_19)),domain(X1))
| domain(domain(X_19)) != domain(X_19)
| domain(addition(domain(X_19),X1)) = addition(domain(X_19),domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_19),X1)),addition(domain(domain(X_19)),domain(X1))) ),[1,0],$fot(domain(X_19))]]) ).
cnf(refute_0_24,plain,
( domain(addition(domain(X_19),X1)) != addition(domain(domain(X_19)),domain(X1))
| domain(addition(domain(X_19),X1)) = addition(domain(X_19),domain(X1)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_19)),domain(X_19)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
domain(addition(domain(X_19),X1)) = addition(domain(X_19),domain(X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_19),X1)),addition(domain(domain(X_19)),domain(X1))) )],[refute_0_1,refute_0_24]) ).
cnf(refute_0_26,plain,
( domain(addition(X0,X1)) != addition(domain(X0),domain(X1))
| addition(domain(X0),domain(X1)) = domain(addition(X0,X1)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(domain(addition(X0,X1)))),bind(Y,$fot(addition(domain(X0),domain(X1))))]]) ).
cnf(refute_0_27,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(resolve,[$cnf( $equal(domain(addition(X0,X1)),addition(domain(X0),domain(X1))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
addition(domain(X_19),domain(X1)) = domain(addition(X_19,X1)),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_19))]]) ).
cnf(refute_0_29,plain,
( addition(domain(X_19),domain(X1)) != domain(addition(X_19,X1))
| domain(addition(domain(X_19),X1)) != addition(domain(X_19),domain(X1))
| domain(addition(domain(X_19),X1)) = domain(addition(X_19,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(X_19),X1)),addition(domain(X_19),domain(X1))) ),[1],$fot(domain(addition(X_19,X1)))]]) ).
cnf(refute_0_30,plain,
( domain(addition(domain(X_19),X1)) != addition(domain(X_19),domain(X1))
| domain(addition(domain(X_19),X1)) = domain(addition(X_19,X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_19),domain(X1)),domain(addition(X_19,X1))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
domain(addition(domain(X_19),X1)) = domain(addition(X_19,X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(X_19),X1)),addition(domain(X_19),domain(X1))) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_31:[bind(X1,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),bind(X_19,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_33,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_34,plain,
( ~ leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) = multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_35,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_36,plain,
( addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)
| leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)))]]) ).
cnf(refute_0_37,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_38,plain,
addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)) = addition(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),X_32),
inference(subst,[],[refute_0_37:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))),bind(C,$fot(X_32))]]) ).
cnf(refute_0_39,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) = multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_40,plain,
( addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)) != addition(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),X_32)
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) != multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)),addition(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),X_32)) ),[1,0],$fot(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_41,plain,
( addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)) != addition(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),X_32)
| addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_32)),addition(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),X_32)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41),
inference(subst,[],[refute_0_42:[bind(X_32,$fot(X_41))]]) ).
cnf(refute_0_44,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)
| addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)
| addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) ),[0,1],$fot(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41))]]) ).
cnf(refute_0_45,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)
| addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)
| leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) )],[refute_0_45,refute_0_36]) ).
cnf(refute_0_47,plain,
addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41),
introduced(tautology,[refl,[$fot(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41))]]) ).
cnf(refute_0_48,plain,
leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_41)) )],[refute_0_47,refute_0_46]) ).
cnf(refute_0_49,plain,
leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42)),
inference(subst,[],[refute_0_48:[bind(X_41,$fot(X_42))]]) ).
cnf(refute_0_50,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_51,plain,
addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_42)),bind(B,$fot(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_52,plain,
( addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42)
| addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42) = addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)))),bind(Y,$fot(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42)))]]) ).
cnf(refute_0_53,plain,
addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42) = addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42) != addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))
| ~ leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42))
| leq(skolemFOFtoCNF_X0,addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42)) ),[1],$fot(addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_55,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42))
| leq(skolemFOFtoCNF_X0,addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42),addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
leq(skolemFOFtoCNF_X0,addition(X_42,multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_42)) )],[refute_0_49,refute_0_55]) ).
cnf(refute_0_57,plain,
leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_56:[bind(X_42,$fot(multiplication(domain(skolemFOFtoCNF_X1),X_91)))]]) ).
cnf(refute_0_58,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_59,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0)) = addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_58:[bind(A,$fot(domain(skolemFOFtoCNF_X1))),bind(B,$fot(X_91)),bind(C,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_60,plain,
( multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0)) != addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))
| addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) = multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0)))),bind(Y,$fot(addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_61,plain,
addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) = multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0)),addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) != multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0))
| ~ leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) ),[1],$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_63,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_91,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),X_91),multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))) )],[refute_0_57,refute_0_63]) ).
cnf(refute_0_65,plain,
leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(addition(A,B),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_64:[bind(X_91,$fot(addition(A,B)))]]) ).
cnf(refute_0_66,plain,
addition(A,addition(B,skolemFOFtoCNF_X0)) = addition(addition(A,B),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_37:[bind(C,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_67,plain,
( addition(A,addition(B,skolemFOFtoCNF_X0)) != addition(addition(A,B),skolemFOFtoCNF_X0)
| addition(addition(A,B),skolemFOFtoCNF_X0) = addition(A,addition(B,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,addition(B,skolemFOFtoCNF_X0)))),bind(Y,$fot(addition(addition(A,B),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_68,plain,
addition(addition(A,B),skolemFOFtoCNF_X0) = addition(A,addition(B,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,skolemFOFtoCNF_X0)),addition(addition(A,B),skolemFOFtoCNF_X0)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( addition(addition(A,B),skolemFOFtoCNF_X0) != addition(A,addition(B,skolemFOFtoCNF_X0))
| ~ leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(addition(A,B),skolemFOFtoCNF_X0)))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(A,addition(B,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(addition(A,B),skolemFOFtoCNF_X0))) ),[1,1],$fot(addition(A,addition(B,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_70,plain,
( ~ leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(addition(A,B),skolemFOFtoCNF_X0)))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(A,addition(B,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(addition(addition(A,B),skolemFOFtoCNF_X0),addition(A,addition(B,skolemFOFtoCNF_X0))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(A,addition(B,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(addition(A,B),skolemFOFtoCNF_X0))) )],[refute_0_65,refute_0_70]) ).
cnf(refute_0_72,plain,
leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(X_126,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_71:[bind(A,$fot(X_125)),bind(B,$fot(X_126))]]) ).
cnf(refute_0_73,plain,
addition(skolemFOFtoCNF_X0,X_126) = addition(X_126,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_50:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(X_126))]]) ).
cnf(refute_0_74,plain,
( addition(skolemFOFtoCNF_X0,X_126) != addition(X_126,skolemFOFtoCNF_X0)
| addition(X_126,skolemFOFtoCNF_X0) = addition(skolemFOFtoCNF_X0,X_126) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(skolemFOFtoCNF_X0,X_126))),bind(Y,$fot(addition(X_126,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_75,plain,
addition(X_126,skolemFOFtoCNF_X0) = addition(skolemFOFtoCNF_X0,X_126),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,X_126),addition(X_126,skolemFOFtoCNF_X0)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( addition(X_126,skolemFOFtoCNF_X0) != addition(skolemFOFtoCNF_X0,X_126)
| ~ leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(X_126,skolemFOFtoCNF_X0))))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(skolemFOFtoCNF_X0,X_126)))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(X_126,skolemFOFtoCNF_X0)))) ),[1,1,1],$fot(addition(skolemFOFtoCNF_X0,X_126))]]) ).
cnf(refute_0_77,plain,
( ~ leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(X_126,skolemFOFtoCNF_X0))))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(skolemFOFtoCNF_X0,X_126)))) ),
inference(resolve,[$cnf( $equal(addition(X_126,skolemFOFtoCNF_X0),addition(skolemFOFtoCNF_X0,X_126)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(skolemFOFtoCNF_X0,X_126)))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(X_125,addition(X_126,skolemFOFtoCNF_X0)))) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_78:[bind(X_125,$fot(one)),bind(X_126,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_80,plain,
leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31))),
inference(subst,[],[refute_0_48:[bind(X_41,$fot(addition(one,X_31)))]]) ).
cnf(refute_0_81,plain,
addition(X_30,addition(X_31,addition(X_31,one))) = addition(addition(X_30,X_31),addition(X_31,one)),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_30)),bind(B,$fot(X_31)),bind(C,$fot(addition(X_31,one)))]]) ).
cnf(refute_0_82,plain,
addition(addition(X_21,addition(X_21,one)),one) = addition(one,addition(X_21,addition(X_21,one))),
inference(subst,[],[refute_0_50:[bind(A,$fot(addition(X_21,addition(X_21,one)))),bind(B,$fot(one))]]) ).
cnf(refute_0_83,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_84,plain,
addition(addition(one,X_14),multiplication(domain(addition(one,X_14)),addition(one,X_14))) = multiplication(domain(addition(one,X_14)),addition(one,X_14)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(addition(one,X_14)))]]) ).
cnf(refute_0_85,plain,
domain(addition(one,X_12)) = addition(domain(one),domain(X_12)),
inference(subst,[],[refute_0_0:[bind(X0,$fot(one)),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_86,plain,
addition(one,multiplication(domain(one),one)) = multiplication(domain(one),one),
inference(subst,[],[refute_0_83:[bind(X0,$fot(one))]]) ).
cnf(refute_0_87,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_88,plain,
multiplication(domain(one),one) = domain(one),
inference(subst,[],[refute_0_87:[bind(A,$fot(domain(one)))]]) ).
cnf(refute_0_89,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| multiplication(domain(one),one) != domain(one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) ),[0,1],$fot(domain(one))]]) ).
cnf(refute_0_90,plain,
( addition(one,multiplication(domain(one),one)) != multiplication(domain(one),one)
| addition(one,domain(one)) = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(one),one)),multiplication(domain(one),one)) )],[refute_0_86,refute_0_90]) ).
cnf(refute_0_92,plain,
addition(domain(X0),one) = one,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_93,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_94,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_50,refute_0_93]) ).
cnf(refute_0_95,plain,
addition(domain(X0),one) = addition(one,domain(X0)),
inference(subst,[],[refute_0_94:[bind(A,$fot(one)),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_96,plain,
( addition(domain(X0),one) != addition(one,domain(X0))
| addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),one),one) ),[0],$fot(addition(one,domain(X0)))]]) ).
cnf(refute_0_97,plain,
( addition(domain(X0),one) != one
| addition(one,domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),one),addition(one,domain(X0))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
addition(one,domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),one),one) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
addition(one,domain(one)) = one,
inference(subst,[],[refute_0_98:[bind(X0,$fot(one))]]) ).
cnf(refute_0_100,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_101,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = multiplication(domain(one),one) ),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),one) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( multiplication(domain(one),one) != domain(one)
| one != multiplication(domain(one),one)
| one = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(one,multiplication(domain(one),one)) ),[1],$fot(domain(one))]]) ).
cnf(refute_0_103,plain,
( one != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(one),one),domain(one)) )],[refute_0_88,refute_0_102]) ).
cnf(refute_0_104,plain,
( addition(one,domain(one)) != multiplication(domain(one),one)
| one = domain(one) ),
inference(resolve,[$cnf( $equal(one,multiplication(domain(one),one)) )],[refute_0_101,refute_0_103]) ).
cnf(refute_0_105,plain,
one = domain(one),
inference(resolve,[$cnf( $equal(addition(one,domain(one)),multiplication(domain(one),one)) )],[refute_0_91,refute_0_104]) ).
cnf(refute_0_106,plain,
( one != domain(one)
| domain(one) = one ),
inference(subst,[],[refute_0_20:[bind(X,$fot(one)),bind(Y,$fot(domain(one)))]]) ).
cnf(refute_0_107,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(one,domain(one)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( domain(addition(one,X_12)) != addition(domain(one),domain(X_12))
| domain(one) != one
| domain(addition(one,X_12)) = addition(one,domain(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_12)),addition(domain(one),domain(X_12))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_109,plain,
( domain(addition(one,X_12)) != addition(domain(one),domain(X_12))
| domain(addition(one,X_12)) = addition(one,domain(X_12)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
domain(addition(one,X_12)) = addition(one,domain(X_12)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_12)),addition(domain(one),domain(X_12))) )],[refute_0_85,refute_0_109]) ).
cnf(refute_0_111,plain,
addition(one,domain(X_12)) = one,
inference(subst,[],[refute_0_98:[bind(X0,$fot(X_12))]]) ).
cnf(refute_0_112,plain,
( addition(one,domain(X_12)) != one
| domain(addition(one,X_12)) != addition(one,domain(X_12))
| domain(addition(one,X_12)) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(one,X_12)),addition(one,domain(X_12))) ),[1],$fot(one)]]) ).
cnf(refute_0_113,plain,
( domain(addition(one,X_12)) != addition(one,domain(X_12))
| domain(addition(one,X_12)) = one ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_12)),one) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
domain(addition(one,X_12)) = one,
inference(resolve,[$cnf( $equal(domain(addition(one,X_12)),addition(one,domain(X_12))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
domain(addition(one,X_14)) = one,
inference(subst,[],[refute_0_114:[bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_116,plain,
( addition(addition(one,X_14),multiplication(domain(addition(one,X_14)),addition(one,X_14))) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| domain(addition(one,X_14)) != one
| addition(addition(one,X_14),multiplication(one,addition(one,X_14))) = multiplication(domain(addition(one,X_14)),addition(one,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_14),multiplication(domain(addition(one,X_14)),addition(one,X_14))),multiplication(domain(addition(one,X_14)),addition(one,X_14))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_117,plain,
( addition(addition(one,X_14),multiplication(domain(addition(one,X_14)),addition(one,X_14))) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| addition(addition(one,X_14),multiplication(one,addition(one,X_14))) = multiplication(domain(addition(one,X_14)),addition(one,X_14)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),one) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
addition(addition(one,X_14),multiplication(one,addition(one,X_14))) = multiplication(domain(addition(one,X_14)),addition(one,X_14)),
inference(resolve,[$cnf( $equal(addition(addition(one,X_14),multiplication(domain(addition(one,X_14)),addition(one,X_14))),multiplication(domain(addition(one,X_14)),addition(one,X_14))) )],[refute_0_84,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplication(one,addition(one,X_14)) = addition(one,X_14),
inference(subst,[],[refute_0_4:[bind(A,$fot(addition(one,X_14)))]]) ).
cnf(refute_0_120,plain,
addition(X_14,multiplication(one,addition(one,X_14))) = addition(X_14,multiplication(one,addition(one,X_14))),
introduced(tautology,[refl,[$fot(addition(X_14,multiplication(one,addition(one,X_14))))]]) ).
cnf(refute_0_121,plain,
( addition(X_14,multiplication(one,addition(one,X_14))) != addition(X_14,multiplication(one,addition(one,X_14)))
| multiplication(one,addition(one,X_14)) != addition(one,X_14)
| addition(X_14,multiplication(one,addition(one,X_14))) = addition(X_14,addition(one,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_14,multiplication(one,addition(one,X_14))),addition(X_14,multiplication(one,addition(one,X_14)))) ),[1,1],$fot(addition(one,X_14))]]) ).
cnf(refute_0_122,plain,
( multiplication(one,addition(one,X_14)) != addition(one,X_14)
| addition(X_14,multiplication(one,addition(one,X_14))) = addition(X_14,addition(one,X_14)) ),
inference(resolve,[$cnf( $equal(addition(X_14,multiplication(one,addition(one,X_14))),addition(X_14,multiplication(one,addition(one,X_14)))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
addition(X_14,multiplication(one,addition(one,X_14))) = addition(X_14,addition(one,X_14)),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_14)),addition(one,X_14)) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
addition(one,addition(X_14,multiplication(one,addition(one,X_14)))) = addition(one,addition(X_14,multiplication(one,addition(one,X_14)))),
introduced(tautology,[refl,[$fot(addition(one,addition(X_14,multiplication(one,addition(one,X_14)))))]]) ).
cnf(refute_0_125,plain,
( addition(X_14,multiplication(one,addition(one,X_14))) != addition(X_14,addition(one,X_14))
| addition(one,addition(X_14,multiplication(one,addition(one,X_14)))) != addition(one,addition(X_14,multiplication(one,addition(one,X_14))))
| addition(one,addition(X_14,multiplication(one,addition(one,X_14)))) = addition(one,addition(X_14,addition(one,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_14,multiplication(one,addition(one,X_14)))),addition(one,addition(X_14,multiplication(one,addition(one,X_14))))) ),[1,1],$fot(addition(X_14,addition(one,X_14)))]]) ).
cnf(refute_0_126,plain,
( addition(X_14,multiplication(one,addition(one,X_14))) != addition(X_14,addition(one,X_14))
| addition(one,addition(X_14,multiplication(one,addition(one,X_14)))) = addition(one,addition(X_14,addition(one,X_14))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_14,multiplication(one,addition(one,X_14)))),addition(one,addition(X_14,multiplication(one,addition(one,X_14))))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
addition(one,addition(X_14,multiplication(one,addition(one,X_14)))) = addition(one,addition(X_14,addition(one,X_14))),
inference(resolve,[$cnf( $equal(addition(X_14,multiplication(one,addition(one,X_14))),addition(X_14,addition(one,X_14))) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_129,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_37,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(addition(one,X_14),multiplication(one,addition(one,X_14))) = addition(one,addition(X_14,multiplication(one,addition(one,X_14)))),
inference(subst,[],[refute_0_129:[bind(A,$fot(one)),bind(B,$fot(X_14)),bind(C,$fot(multiplication(one,addition(one,X_14))))]]) ).
cnf(refute_0_131,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_132,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_20,refute_0_131]) ).
cnf(refute_0_133,plain,
( addition(addition(one,X_14),multiplication(one,addition(one,X_14))) != addition(one,addition(X_14,multiplication(one,addition(one,X_14))))
| addition(one,addition(X_14,multiplication(one,addition(one,X_14)))) != addition(one,addition(X_14,addition(one,X_14)))
| addition(addition(one,X_14),multiplication(one,addition(one,X_14))) = addition(one,addition(X_14,addition(one,X_14))) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(addition(addition(one,X_14),multiplication(one,addition(one,X_14))))),bind(Y,$fot(addition(one,addition(X_14,multiplication(one,addition(one,X_14)))))),bind(Z,$fot(addition(one,addition(X_14,addition(one,X_14)))))]]) ).
cnf(refute_0_134,plain,
( addition(one,addition(X_14,multiplication(one,addition(one,X_14)))) != addition(one,addition(X_14,addition(one,X_14)))
| addition(addition(one,X_14),multiplication(one,addition(one,X_14))) = addition(one,addition(X_14,addition(one,X_14))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_14),multiplication(one,addition(one,X_14))),addition(one,addition(X_14,multiplication(one,addition(one,X_14))))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
addition(addition(one,X_14),multiplication(one,addition(one,X_14))) = addition(one,addition(X_14,addition(one,X_14))),
inference(resolve,[$cnf( $equal(addition(one,addition(X_14,multiplication(one,addition(one,X_14)))),addition(one,addition(X_14,addition(one,X_14)))) )],[refute_0_127,refute_0_134]) ).
cnf(refute_0_136,plain,
( addition(addition(one,X_14),multiplication(one,addition(one,X_14))) != addition(one,addition(X_14,addition(one,X_14)))
| addition(addition(one,X_14),multiplication(one,addition(one,X_14))) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| addition(one,addition(X_14,addition(one,X_14))) = multiplication(domain(addition(one,X_14)),addition(one,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(one,X_14),multiplication(one,addition(one,X_14))),multiplication(domain(addition(one,X_14)),addition(one,X_14))) ),[0],$fot(addition(one,addition(X_14,addition(one,X_14))))]]) ).
cnf(refute_0_137,plain,
( addition(addition(one,X_14),multiplication(one,addition(one,X_14))) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| addition(one,addition(X_14,addition(one,X_14))) = multiplication(domain(addition(one,X_14)),addition(one,X_14)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_14),multiplication(one,addition(one,X_14))),addition(one,addition(X_14,addition(one,X_14)))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
multiplication(domain(addition(one,X_14)),addition(one,X_14)) = multiplication(domain(addition(one,X_14)),addition(one,X_14)),
introduced(tautology,[refl,[$fot(multiplication(domain(addition(one,X_14)),addition(one,X_14)))]]) ).
cnf(refute_0_139,plain,
( domain(addition(one,X_14)) != one
| multiplication(domain(addition(one,X_14)),addition(one,X_14)) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| multiplication(domain(addition(one,X_14)),addition(one,X_14)) = multiplication(one,addition(one,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(addition(one,X_14)),addition(one,X_14)),multiplication(domain(addition(one,X_14)),addition(one,X_14))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_140,plain,
( domain(addition(one,X_14)) != one
| multiplication(domain(addition(one,X_14)),addition(one,X_14)) = multiplication(one,addition(one,X_14)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_14)),addition(one,X_14)),multiplication(domain(addition(one,X_14)),addition(one,X_14))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiplication(domain(addition(one,X_14)),addition(one,X_14)) = multiplication(one,addition(one,X_14)),
inference(resolve,[$cnf( $equal(domain(addition(one,X_14)),one) )],[refute_0_115,refute_0_140]) ).
cnf(refute_0_142,plain,
( multiplication(domain(addition(one,X_14)),addition(one,X_14)) != multiplication(one,addition(one,X_14))
| multiplication(one,addition(one,X_14)) != addition(one,X_14)
| multiplication(domain(addition(one,X_14)),addition(one,X_14)) = addition(one,X_14) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(multiplication(domain(addition(one,X_14)),addition(one,X_14)))),bind(Y,$fot(multiplication(one,addition(one,X_14)))),bind(Z,$fot(addition(one,X_14)))]]) ).
cnf(refute_0_143,plain,
( multiplication(one,addition(one,X_14)) != addition(one,X_14)
| multiplication(domain(addition(one,X_14)),addition(one,X_14)) = addition(one,X_14) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_14)),addition(one,X_14)),multiplication(one,addition(one,X_14))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiplication(domain(addition(one,X_14)),addition(one,X_14)) = addition(one,X_14),
inference(resolve,[$cnf( $equal(multiplication(one,addition(one,X_14)),addition(one,X_14)) )],[refute_0_119,refute_0_143]) ).
cnf(refute_0_145,plain,
( addition(one,addition(X_14,addition(one,X_14))) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| multiplication(domain(addition(one,X_14)),addition(one,X_14)) != addition(one,X_14)
| addition(one,addition(X_14,addition(one,X_14))) = addition(one,X_14) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,addition(X_14,addition(one,X_14))),addition(one,X_14)) ),[0],$fot(multiplication(domain(addition(one,X_14)),addition(one,X_14)))]]) ).
cnf(refute_0_146,plain,
( addition(one,addition(X_14,addition(one,X_14))) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| addition(one,addition(X_14,addition(one,X_14))) = addition(one,X_14) ),
inference(resolve,[$cnf( $equal(multiplication(domain(addition(one,X_14)),addition(one,X_14)),addition(one,X_14)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( addition(addition(one,X_14),multiplication(one,addition(one,X_14))) != multiplication(domain(addition(one,X_14)),addition(one,X_14))
| addition(one,addition(X_14,addition(one,X_14))) = addition(one,X_14) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_14,addition(one,X_14))),multiplication(domain(addition(one,X_14)),addition(one,X_14))) )],[refute_0_137,refute_0_146]) ).
cnf(refute_0_148,plain,
addition(one,addition(X_14,addition(one,X_14))) = addition(one,X_14),
inference(resolve,[$cnf( $equal(addition(addition(one,X_14),multiplication(one,addition(one,X_14))),multiplication(domain(addition(one,X_14)),addition(one,X_14))) )],[refute_0_118,refute_0_147]) ).
cnf(refute_0_149,plain,
addition(one,addition(X_20,addition(one,X_20))) = addition(one,X_20),
inference(subst,[],[refute_0_148:[bind(X_14,$fot(X_20))]]) ).
cnf(refute_0_150,plain,
addition(X_20,one) = addition(one,X_20),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_20)),bind(B,$fot(one))]]) ).
cnf(refute_0_151,plain,
( addition(X_20,one) != addition(one,X_20)
| addition(one,X_20) = addition(X_20,one) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_20,one))),bind(Y,$fot(addition(one,X_20)))]]) ).
cnf(refute_0_152,plain,
addition(one,X_20) = addition(X_20,one),
inference(resolve,[$cnf( $equal(addition(X_20,one),addition(one,X_20)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( addition(one,X_20) != addition(X_20,one)
| addition(one,addition(X_20,addition(one,X_20))) != addition(one,X_20)
| addition(one,addition(X_20,addition(X_20,one))) = addition(one,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(X_20,addition(one,X_20))),addition(one,X_20)) ),[0,1,1],$fot(addition(X_20,one))]]) ).
cnf(refute_0_154,plain,
( addition(one,addition(X_20,addition(one,X_20))) != addition(one,X_20)
| addition(one,addition(X_20,addition(X_20,one))) = addition(one,X_20) ),
inference(resolve,[$cnf( $equal(addition(one,X_20),addition(X_20,one)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
addition(one,addition(X_20,addition(X_20,one))) = addition(one,X_20),
inference(resolve,[$cnf( $equal(addition(one,addition(X_20,addition(one,X_20))),addition(one,X_20)) )],[refute_0_149,refute_0_154]) ).
cnf(refute_0_156,plain,
addition(one,addition(X_21,addition(X_21,one))) = addition(one,X_21),
inference(subst,[],[refute_0_155:[bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_157,plain,
( addition(addition(X_21,addition(X_21,one)),one) != addition(one,addition(X_21,addition(X_21,one)))
| addition(one,addition(X_21,addition(X_21,one))) != addition(one,X_21)
| addition(addition(X_21,addition(X_21,one)),one) = addition(one,X_21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(addition(X_21,addition(X_21,one)),one),addition(one,X_21)) ),[0],$fot(addition(one,addition(X_21,addition(X_21,one))))]]) ).
cnf(refute_0_158,plain,
( addition(addition(X_21,addition(X_21,one)),one) != addition(one,addition(X_21,addition(X_21,one)))
| addition(addition(X_21,addition(X_21,one)),one) = addition(one,X_21) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_21,addition(X_21,one))),addition(one,X_21)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
addition(addition(X_21,addition(X_21,one)),one) = addition(one,X_21),
inference(resolve,[$cnf( $equal(addition(addition(X_21,addition(X_21,one)),one),addition(one,addition(X_21,addition(X_21,one)))) )],[refute_0_82,refute_0_158]) ).
cnf(refute_0_160,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_161,plain,
addition(one,one) = one,
inference(subst,[],[refute_0_160:[bind(A,$fot(one))]]) ).
cnf(refute_0_162,plain,
addition(X_21,addition(one,one)) = addition(X_21,addition(one,one)),
introduced(tautology,[refl,[$fot(addition(X_21,addition(one,one)))]]) ).
cnf(refute_0_163,plain,
( addition(X_21,addition(one,one)) != addition(X_21,addition(one,one))
| addition(one,one) != one
| addition(X_21,addition(one,one)) = addition(X_21,one) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_21,addition(one,one)),addition(X_21,addition(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_164,plain,
( addition(one,one) != one
| addition(X_21,addition(one,one)) = addition(X_21,one) ),
inference(resolve,[$cnf( $equal(addition(X_21,addition(one,one)),addition(X_21,addition(one,one))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
addition(X_21,addition(one,one)) = addition(X_21,one),
inference(resolve,[$cnf( $equal(addition(one,one),one) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(addition(X_21,one),one) = addition(X_21,addition(one,one)),
inference(subst,[],[refute_0_129:[bind(A,$fot(X_21)),bind(B,$fot(one)),bind(C,$fot(one))]]) ).
cnf(refute_0_167,plain,
( addition(X_21,addition(one,one)) != addition(X_21,one)
| addition(addition(X_21,one),one) != addition(X_21,addition(one,one))
| addition(addition(X_21,one),one) = addition(X_21,one) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(addition(addition(X_21,one),one))),bind(Y,$fot(addition(X_21,addition(one,one)))),bind(Z,$fot(addition(X_21,one)))]]) ).
cnf(refute_0_168,plain,
( addition(X_21,addition(one,one)) != addition(X_21,one)
| addition(addition(X_21,one),one) = addition(X_21,one) ),
inference(resolve,[$cnf( $equal(addition(addition(X_21,one),one),addition(X_21,addition(one,one))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
addition(addition(X_21,one),one) = addition(X_21,one),
inference(resolve,[$cnf( $equal(addition(X_21,addition(one,one)),addition(X_21,one)) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(X_21,addition(addition(X_21,one),one)) = addition(X_21,addition(addition(X_21,one),one)),
introduced(tautology,[refl,[$fot(addition(X_21,addition(addition(X_21,one),one)))]]) ).
cnf(refute_0_171,plain,
( addition(X_21,addition(addition(X_21,one),one)) != addition(X_21,addition(addition(X_21,one),one))
| addition(addition(X_21,one),one) != addition(X_21,one)
| addition(X_21,addition(addition(X_21,one),one)) = addition(X_21,addition(X_21,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_21,addition(addition(X_21,one),one)),addition(X_21,addition(addition(X_21,one),one))) ),[1,1],$fot(addition(X_21,one))]]) ).
cnf(refute_0_172,plain,
( addition(addition(X_21,one),one) != addition(X_21,one)
| addition(X_21,addition(addition(X_21,one),one)) = addition(X_21,addition(X_21,one)) ),
inference(resolve,[$cnf( $equal(addition(X_21,addition(addition(X_21,one),one)),addition(X_21,addition(addition(X_21,one),one))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
addition(X_21,addition(addition(X_21,one),one)) = addition(X_21,addition(X_21,one)),
inference(resolve,[$cnf( $equal(addition(addition(X_21,one),one),addition(X_21,one)) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
addition(addition(X_21,addition(X_21,one)),one) = addition(X_21,addition(addition(X_21,one),one)),
inference(subst,[],[refute_0_129:[bind(A,$fot(X_21)),bind(B,$fot(addition(X_21,one))),bind(C,$fot(one))]]) ).
cnf(refute_0_175,plain,
( addition(X_21,addition(addition(X_21,one),one)) != addition(X_21,addition(X_21,one))
| addition(addition(X_21,addition(X_21,one)),one) != addition(X_21,addition(addition(X_21,one),one))
| addition(addition(X_21,addition(X_21,one)),one) = addition(X_21,addition(X_21,one)) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(addition(addition(X_21,addition(X_21,one)),one))),bind(Y,$fot(addition(X_21,addition(addition(X_21,one),one)))),bind(Z,$fot(addition(X_21,addition(X_21,one))))]]) ).
cnf(refute_0_176,plain,
( addition(X_21,addition(addition(X_21,one),one)) != addition(X_21,addition(X_21,one))
| addition(addition(X_21,addition(X_21,one)),one) = addition(X_21,addition(X_21,one)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_21,addition(X_21,one)),one),addition(X_21,addition(addition(X_21,one),one))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
addition(addition(X_21,addition(X_21,one)),one) = addition(X_21,addition(X_21,one)),
inference(resolve,[$cnf( $equal(addition(X_21,addition(addition(X_21,one),one)),addition(X_21,addition(X_21,one))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
( addition(addition(X_21,addition(X_21,one)),one) != addition(X_21,addition(X_21,one))
| addition(addition(X_21,addition(X_21,one)),one) != addition(one,X_21)
| addition(X_21,addition(X_21,one)) = addition(one,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_21,addition(X_21,one)),one),addition(one,X_21)) ),[0],$fot(addition(X_21,addition(X_21,one)))]]) ).
cnf(refute_0_179,plain,
( addition(addition(X_21,addition(X_21,one)),one) != addition(one,X_21)
| addition(X_21,addition(X_21,one)) = addition(one,X_21) ),
inference(resolve,[$cnf( $equal(addition(addition(X_21,addition(X_21,one)),one),addition(X_21,addition(X_21,one))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
addition(X_21,addition(X_21,one)) = addition(one,X_21),
inference(resolve,[$cnf( $equal(addition(addition(X_21,addition(X_21,one)),one),addition(one,X_21)) )],[refute_0_159,refute_0_179]) ).
cnf(refute_0_181,plain,
addition(X_31,addition(X_31,one)) = addition(one,X_31),
inference(subst,[],[refute_0_180:[bind(X_21,$fot(X_31))]]) ).
cnf(refute_0_182,plain,
( addition(X_30,addition(X_31,addition(X_31,one))) != addition(addition(X_30,X_31),addition(X_31,one))
| addition(X_31,addition(X_31,one)) != addition(one,X_31)
| addition(X_30,addition(one,X_31)) = addition(addition(X_30,X_31),addition(X_31,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_30,addition(X_31,addition(X_31,one))),addition(addition(X_30,X_31),addition(X_31,one))) ),[0,1],$fot(addition(one,X_31))]]) ).
cnf(refute_0_183,plain,
( addition(X_30,addition(X_31,addition(X_31,one))) != addition(addition(X_30,X_31),addition(X_31,one))
| addition(X_30,addition(one,X_31)) = addition(addition(X_30,X_31),addition(X_31,one)) ),
inference(resolve,[$cnf( $equal(addition(X_31,addition(X_31,one)),addition(one,X_31)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
addition(X_30,addition(one,X_31)) = addition(addition(X_30,X_31),addition(X_31,one)),
inference(resolve,[$cnf( $equal(addition(X_30,addition(X_31,addition(X_31,one))),addition(addition(X_30,X_31),addition(X_31,one))) )],[refute_0_81,refute_0_183]) ).
cnf(refute_0_185,plain,
addition(X_31,X_31) = X_31,
inference(subst,[],[refute_0_160:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_186,plain,
addition(X_30,addition(X_31,X_31)) = addition(X_30,addition(X_31,X_31)),
introduced(tautology,[refl,[$fot(addition(X_30,addition(X_31,X_31)))]]) ).
cnf(refute_0_187,plain,
( addition(X_30,addition(X_31,X_31)) != addition(X_30,addition(X_31,X_31))
| addition(X_31,X_31) != X_31
| addition(X_30,addition(X_31,X_31)) = addition(X_30,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_30,addition(X_31,X_31)),addition(X_30,addition(X_31,X_31))) ),[1,1],$fot(X_31)]]) ).
cnf(refute_0_188,plain,
( addition(X_31,X_31) != X_31
| addition(X_30,addition(X_31,X_31)) = addition(X_30,X_31) ),
inference(resolve,[$cnf( $equal(addition(X_30,addition(X_31,X_31)),addition(X_30,addition(X_31,X_31))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
addition(X_30,addition(X_31,X_31)) = addition(X_30,X_31),
inference(resolve,[$cnf( $equal(addition(X_31,X_31),X_31) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
addition(addition(X_30,X_31),X_31) = addition(X_30,addition(X_31,X_31)),
inference(subst,[],[refute_0_129:[bind(A,$fot(X_30)),bind(B,$fot(X_31)),bind(C,$fot(X_31))]]) ).
cnf(refute_0_191,plain,
( addition(X_30,addition(X_31,X_31)) != addition(X_30,X_31)
| addition(addition(X_30,X_31),X_31) != addition(X_30,addition(X_31,X_31))
| addition(addition(X_30,X_31),X_31) = addition(X_30,X_31) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(addition(addition(X_30,X_31),X_31))),bind(Y,$fot(addition(X_30,addition(X_31,X_31)))),bind(Z,$fot(addition(X_30,X_31)))]]) ).
cnf(refute_0_192,plain,
( addition(X_30,addition(X_31,X_31)) != addition(X_30,X_31)
| addition(addition(X_30,X_31),X_31) = addition(X_30,X_31) ),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_31),X_31),addition(X_30,addition(X_31,X_31))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
addition(addition(X_30,X_31),X_31) = addition(X_30,X_31),
inference(resolve,[$cnf( $equal(addition(X_30,addition(X_31,X_31)),addition(X_30,X_31)) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
addition(one,addition(addition(X_30,X_31),X_31)) = addition(one,addition(addition(X_30,X_31),X_31)),
introduced(tautology,[refl,[$fot(addition(one,addition(addition(X_30,X_31),X_31)))]]) ).
cnf(refute_0_195,plain,
( addition(addition(X_30,X_31),X_31) != addition(X_30,X_31)
| addition(one,addition(addition(X_30,X_31),X_31)) != addition(one,addition(addition(X_30,X_31),X_31))
| addition(one,addition(addition(X_30,X_31),X_31)) = addition(one,addition(X_30,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(addition(X_30,X_31),X_31)),addition(one,addition(addition(X_30,X_31),X_31))) ),[1,1],$fot(addition(X_30,X_31))]]) ).
cnf(refute_0_196,plain,
( addition(addition(X_30,X_31),X_31) != addition(X_30,X_31)
| addition(one,addition(addition(X_30,X_31),X_31)) = addition(one,addition(X_30,X_31)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_30,X_31),X_31)),addition(one,addition(addition(X_30,X_31),X_31))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
addition(one,addition(addition(X_30,X_31),X_31)) = addition(one,addition(X_30,X_31)),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_31),X_31),addition(X_30,X_31)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
addition(A,addition(X_30,X_31)) = addition(addition(X_30,X_31),A),
inference(subst,[],[refute_0_50:[bind(B,$fot(addition(X_30,X_31)))]]) ).
cnf(refute_0_199,plain,
addition(X_30,addition(X_31,A)) = addition(addition(X_30,X_31),A),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_30)),bind(B,$fot(X_31)),bind(C,$fot(A))]]) ).
cnf(refute_0_200,plain,
( addition(X_30,addition(X_31,A)) != addition(addition(X_30,X_31),A)
| addition(addition(X_30,X_31),A) = addition(X_30,addition(X_31,A)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_30,addition(X_31,A)))),bind(Y,$fot(addition(addition(X_30,X_31),A)))]]) ).
cnf(refute_0_201,plain,
addition(addition(X_30,X_31),A) = addition(X_30,addition(X_31,A)),
inference(resolve,[$cnf( $equal(addition(X_30,addition(X_31,A)),addition(addition(X_30,X_31),A)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( addition(A,addition(X_30,X_31)) != addition(addition(X_30,X_31),A)
| addition(addition(X_30,X_31),A) != addition(X_30,addition(X_31,A))
| addition(A,addition(X_30,X_31)) = addition(X_30,addition(X_31,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_30,X_31)),addition(X_30,addition(X_31,A))) ),[0],$fot(addition(addition(X_30,X_31),A))]]) ).
cnf(refute_0_203,plain,
( addition(A,addition(X_30,X_31)) != addition(addition(X_30,X_31),A)
| addition(A,addition(X_30,X_31)) = addition(X_30,addition(X_31,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_31),A),addition(X_30,addition(X_31,A))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
addition(A,addition(X_30,X_31)) = addition(X_30,addition(X_31,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_30,X_31)),addition(addition(X_30,X_31),A)) )],[refute_0_198,refute_0_203]) ).
cnf(refute_0_205,plain,
( addition(A,addition(X_30,X_31)) != addition(X_30,addition(X_31,A))
| addition(X_30,addition(X_31,A)) = addition(A,addition(X_30,X_31)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(A,addition(X_30,X_31)))),bind(Y,$fot(addition(X_30,addition(X_31,A))))]]) ).
cnf(refute_0_206,plain,
addition(X_30,addition(X_31,A)) = addition(A,addition(X_30,X_31)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_30,X_31)),addition(X_30,addition(X_31,A))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
addition(addition(X_30,X_31),addition(X_31,one)) = addition(one,addition(addition(X_30,X_31),X_31)),
inference(subst,[],[refute_0_206:[bind(A,$fot(one)),bind(X_30,$fot(addition(X_30,X_31)))]]) ).
cnf(refute_0_208,plain,
( addition(addition(X_30,X_31),addition(X_31,one)) != addition(one,addition(addition(X_30,X_31),X_31))
| addition(one,addition(addition(X_30,X_31),X_31)) != addition(one,addition(X_30,X_31))
| addition(addition(X_30,X_31),addition(X_31,one)) = addition(one,addition(X_30,X_31)) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(addition(addition(X_30,X_31),addition(X_31,one)))),bind(Y,$fot(addition(one,addition(addition(X_30,X_31),X_31)))),bind(Z,$fot(addition(one,addition(X_30,X_31))))]]) ).
cnf(refute_0_209,plain,
( addition(one,addition(addition(X_30,X_31),X_31)) != addition(one,addition(X_30,X_31))
| addition(addition(X_30,X_31),addition(X_31,one)) = addition(one,addition(X_30,X_31)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_31),addition(X_31,one)),addition(one,addition(addition(X_30,X_31),X_31))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
addition(addition(X_30,X_31),addition(X_31,one)) = addition(one,addition(X_30,X_31)),
inference(resolve,[$cnf( $equal(addition(one,addition(addition(X_30,X_31),X_31)),addition(one,addition(X_30,X_31))) )],[refute_0_197,refute_0_209]) ).
cnf(refute_0_211,plain,
( addition(X_30,addition(one,X_31)) != addition(addition(X_30,X_31),addition(X_31,one))
| addition(addition(X_30,X_31),addition(X_31,one)) != addition(one,addition(X_30,X_31))
| addition(X_30,addition(one,X_31)) = addition(one,addition(X_30,X_31)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_30,addition(one,X_31)),addition(one,addition(X_30,X_31))) ),[0],$fot(addition(addition(X_30,X_31),addition(X_31,one)))]]) ).
cnf(refute_0_212,plain,
( addition(X_30,addition(one,X_31)) != addition(addition(X_30,X_31),addition(X_31,one))
| addition(X_30,addition(one,X_31)) = addition(one,addition(X_30,X_31)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_30,X_31),addition(X_31,one)),addition(one,addition(X_30,X_31))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
addition(X_30,addition(one,X_31)) = addition(one,addition(X_30,X_31)),
inference(resolve,[$cnf( $equal(addition(X_30,addition(one,X_31)),addition(addition(X_30,X_31),addition(X_31,one))) )],[refute_0_184,refute_0_212]) ).
cnf(refute_0_214,plain,
addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31)) = addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_31)),
inference(subst,[],[refute_0_213:[bind(X_30,$fot(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_215,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31)) != addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_31))
| ~ leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31)))
| leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_31))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31))) ),[1],$fot(addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_31)))]]) ).
cnf(refute_0_216,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31)))
| leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_31))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31)),addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_31))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),X_31))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),addition(one,X_31))) )],[refute_0_80,refute_0_216]) ).
cnf(refute_0_218,plain,
leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)))),
inference(subst,[],[refute_0_217:[bind(X_31,$fot(multiplication(domain(skolemFOFtoCNF_X1),X_92)))]]) ).
cnf(refute_0_219,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)),
inference(subst,[],[refute_0_58:[bind(A,$fot(domain(skolemFOFtoCNF_X1))),bind(B,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(X_92))]]) ).
cnf(refute_0_220,plain,
( multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))
| addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)))),bind(Y,$fot(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))))]]) ).
cnf(refute_0_221,plain,
addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))
| ~ leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))))
| leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)))) ),[1,1],$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)))]]) ).
cnf(refute_0_223,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))))
| leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(one,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)))) )],[refute_0_218,refute_0_223]) ).
cnf(refute_0_225,plain,
leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,addition(one,X_31))))),
inference(subst,[],[refute_0_224:[bind(X_92,$fot(addition(one,X_31)))]]) ).
cnf(refute_0_226,plain,
addition(skolemFOFtoCNF_X0,addition(one,X_31)) = addition(one,addition(skolemFOFtoCNF_X0,X_31)),
inference(subst,[],[refute_0_213:[bind(X_30,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_227,plain,
( addition(skolemFOFtoCNF_X0,addition(one,X_31)) != addition(one,addition(skolemFOFtoCNF_X0,X_31))
| ~ leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,addition(one,X_31)))))
| leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,X_31))))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,addition(one,X_31))))) ),[1,1,1],$fot(addition(one,addition(skolemFOFtoCNF_X0,X_31)))]]) ).
cnf(refute_0_228,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,addition(one,X_31)))))
| leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,X_31))))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,X_31)),addition(one,addition(skolemFOFtoCNF_X0,X_31))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,X_31))))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,addition(one,X_31))))) )],[refute_0_225,refute_0_228]) ).
cnf(refute_0_230,plain,
leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_229:[bind(X_31,$fot(multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_231,plain,
addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)),
inference(subst,[],[refute_0_42:[bind(X_32,$fot(multiplication(domain(skolemFOFtoCNF_X1),X_92)))]]) ).
cnf(refute_0_232,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))
| addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) ),[0,1],$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)))]]) ).
cnf(refute_0_233,plain,
( addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) )],[refute_0_221,refute_0_232]) ).
cnf(refute_0_234,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) = addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) )],[refute_0_231,refute_0_233]) ).
cnf(refute_0_235,plain,
( addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) ),[1],$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)))]]) ).
cnf(refute_0_236,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) != addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92)),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) )],[refute_0_221,refute_0_235]) ).
cnf(refute_0_237,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,X_92))),addition(multiplication(domain(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),X_92))) )],[refute_0_234,refute_0_236]) ).
cnf(refute_0_238,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_237:[bind(X_92,$fot(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_239,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_83:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_240,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),[0,1,1],$fot(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_241,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_244,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),[1,1],$fot(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_245,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_239,refute_0_245]) ).
cnf(refute_0_247,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[0],$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_248,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),multiplication(domain(skolemFOFtoCNF_X1),addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_242,refute_0_248]) ).
cnf(refute_0_250,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| ~ leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) ),[1,1,1,1],$fot(multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_251,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) )],[refute_0_230,refute_0_251]) ).
cnf(refute_0_253,plain,
( ~ leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))
| addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) = addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_254,plain,
addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) = addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
addition(X_84,addition(X_85,X_86)) = addition(X_85,addition(X_86,X_84)),
inference(subst,[],[refute_0_204:[bind(A,$fot(X_84)),bind(X_30,$fot(X_85)),bind(X_31,$fot(X_86))]]) ).
cnf(refute_0_256,plain,
addition(X_84,X_86) = addition(X_86,X_84),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_84)),bind(B,$fot(X_86))]]) ).
cnf(refute_0_257,plain,
( addition(X_84,X_86) != addition(X_86,X_84)
| addition(X_86,X_84) = addition(X_84,X_86) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_84,X_86))),bind(Y,$fot(addition(X_86,X_84)))]]) ).
cnf(refute_0_258,plain,
addition(X_86,X_84) = addition(X_84,X_86),
inference(resolve,[$cnf( $equal(addition(X_84,X_86),addition(X_86,X_84)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
( addition(X_84,addition(X_85,X_86)) != addition(X_85,addition(X_86,X_84))
| addition(X_86,X_84) != addition(X_84,X_86)
| addition(X_84,addition(X_85,X_86)) = addition(X_85,addition(X_84,X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_84,addition(X_85,X_86)),addition(X_85,addition(X_86,X_84))) ),[1,1],$fot(addition(X_84,X_86))]]) ).
cnf(refute_0_260,plain,
( addition(X_84,addition(X_85,X_86)) != addition(X_85,addition(X_86,X_84))
| addition(X_84,addition(X_85,X_86)) = addition(X_85,addition(X_84,X_86)) ),
inference(resolve,[$cnf( $equal(addition(X_86,X_84),addition(X_84,X_86)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
addition(X_84,addition(X_85,X_86)) = addition(X_85,addition(X_84,X_86)),
inference(resolve,[$cnf( $equal(addition(X_84,addition(X_85,X_86)),addition(X_85,addition(X_86,X_84))) )],[refute_0_255,refute_0_260]) ).
cnf(refute_0_262,plain,
( addition(X_84,addition(X_85,X_86)) != addition(X_85,addition(X_84,X_86))
| addition(X_85,addition(X_84,X_86)) = addition(X_84,addition(X_85,X_86)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(addition(X_84,addition(X_85,X_86)))),bind(Y,$fot(addition(X_85,addition(X_84,X_86))))]]) ).
cnf(refute_0_263,plain,
addition(X_85,addition(X_84,X_86)) = addition(X_84,addition(X_85,X_86)),
inference(resolve,[$cnf( $equal(addition(X_84,addition(X_85,X_86)),addition(X_85,addition(X_84,X_86))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) = addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_263:[bind(X_84,$fot(one)),bind(X_85,$fot(skolemFOFtoCNF_X0)),bind(X_86,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_265,plain,
( addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) != addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))
| addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) != addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))
| addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) = addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) ),[0],$fot(addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_266,plain,
( addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) != addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))
| addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) = addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) = addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) )],[refute_0_254,refute_0_266]) ).
cnf(refute_0_268,plain,
( addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) != addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))
| ~ leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_269,plain,
( ~ leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))
| leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) )],[refute_0_79,refute_0_269]) ).
cnf(refute_0_271,plain,
addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) = multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) )],[refute_0_270,refute_0_34]) ).
cnf(refute_0_272,plain,
( addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) != multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))
| domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) != domain(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))
| domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),domain(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_273,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) != domain(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))
| domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),domain(addition(skolemFOFtoCNF_X0,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))) )],[refute_0_32,refute_0_273]) ).
cnf(refute_0_275,plain,
domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_31:[bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X_19,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_276,plain,
domain(addition(X0,domain(X_19))) = addition(domain(X0),domain(domain(X_19))),
inference(subst,[],[refute_0_0:[bind(X1,$fot(domain(X_19)))]]) ).
cnf(refute_0_277,plain,
( domain(addition(X0,domain(X_19))) != addition(domain(X0),domain(domain(X_19)))
| domain(domain(X_19)) != domain(X_19)
| domain(addition(X0,domain(X_19))) = addition(domain(X0),domain(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,domain(X_19))),addition(domain(X0),domain(domain(X_19)))) ),[1,1],$fot(domain(X_19))]]) ).
cnf(refute_0_278,plain,
( domain(addition(X0,domain(X_19))) != addition(domain(X0),domain(domain(X_19)))
| domain(addition(X0,domain(X_19))) = addition(domain(X0),domain(X_19)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_19)),domain(X_19)) )],[refute_0_22,refute_0_277]) ).
cnf(refute_0_279,plain,
domain(addition(X0,domain(X_19))) = addition(domain(X0),domain(X_19)),
inference(resolve,[$cnf( $equal(domain(addition(X0,domain(X_19))),addition(domain(X0),domain(domain(X_19)))) )],[refute_0_276,refute_0_278]) ).
cnf(refute_0_280,plain,
addition(domain(X0),domain(X_19)) = domain(addition(X0,X_19)),
inference(subst,[],[refute_0_27:[bind(X1,$fot(X_19))]]) ).
cnf(refute_0_281,plain,
( addition(domain(X0),domain(X_19)) != domain(addition(X0,X_19))
| domain(addition(X0,domain(X_19))) != addition(domain(X0),domain(X_19))
| domain(addition(X0,domain(X_19))) = domain(addition(X0,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,domain(X_19))),addition(domain(X0),domain(X_19))) ),[1],$fot(domain(addition(X0,X_19)))]]) ).
cnf(refute_0_282,plain,
( domain(addition(X0,domain(X_19))) != addition(domain(X0),domain(X_19))
| domain(addition(X0,domain(X_19))) = domain(addition(X0,X_19)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X_19)),domain(addition(X0,X_19))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
domain(addition(X0,domain(X_19))) = domain(addition(X0,X_19)),
inference(resolve,[$cnf( $equal(domain(addition(X0,domain(X_19))),addition(domain(X0),domain(X_19))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) = domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_283:[bind(X0,$fot(domain(skolemFOFtoCNF_X0))),bind(X_19,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_285,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) != domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))
| domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))))),bind(Y,$fot(domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)))),bind(Z,$fot(domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_286,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) != domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))),domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_275,refute_0_286]) ).
cnf(refute_0_288,plain,
domain(addition(X0,multiplication(X_117,addition(one,X_116)))) = addition(domain(X0),domain(multiplication(X_117,addition(one,X_116)))),
inference(subst,[],[refute_0_0:[bind(X1,$fot(multiplication(X_117,addition(one,X_116))))]]) ).
cnf(refute_0_289,plain,
domain(multiplication(X_17,addition(one,X_12))) = domain(multiplication(X_17,domain(addition(one,X_12)))),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_17)),bind(X1,$fot(addition(one,X_12)))]]) ).
cnf(refute_0_290,plain,
( domain(addition(one,X_12)) != one
| domain(multiplication(X_17,addition(one,X_12))) != domain(multiplication(X_17,domain(addition(one,X_12))))
| domain(multiplication(X_17,addition(one,X_12))) = domain(multiplication(X_17,one)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_17,addition(one,X_12))),domain(multiplication(X_17,domain(addition(one,X_12))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_291,plain,
( domain(multiplication(X_17,addition(one,X_12))) != domain(multiplication(X_17,domain(addition(one,X_12))))
| domain(multiplication(X_17,addition(one,X_12))) = domain(multiplication(X_17,one)) ),
inference(resolve,[$cnf( $equal(domain(addition(one,X_12)),one) )],[refute_0_114,refute_0_290]) ).
cnf(refute_0_292,plain,
domain(multiplication(X_17,addition(one,X_12))) = domain(multiplication(X_17,one)),
inference(resolve,[$cnf( $equal(domain(multiplication(X_17,addition(one,X_12))),domain(multiplication(X_17,domain(addition(one,X_12))))) )],[refute_0_289,refute_0_291]) ).
cnf(refute_0_293,plain,
multiplication(X_17,one) = X_17,
inference(subst,[],[refute_0_87:[bind(A,$fot(X_17))]]) ).
cnf(refute_0_294,plain,
domain(multiplication(X_17,one)) = domain(multiplication(X_17,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X_17,one)))]]) ).
cnf(refute_0_295,plain,
( domain(multiplication(X_17,one)) != domain(multiplication(X_17,one))
| multiplication(X_17,one) != X_17
| domain(multiplication(X_17,one)) = domain(X_17) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_17,one)),domain(multiplication(X_17,one))) ),[1,0],$fot(X_17)]]) ).
cnf(refute_0_296,plain,
( multiplication(X_17,one) != X_17
| domain(multiplication(X_17,one)) = domain(X_17) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_17,one)),domain(multiplication(X_17,one))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
domain(multiplication(X_17,one)) = domain(X_17),
inference(resolve,[$cnf( $equal(multiplication(X_17,one),X_17) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
( domain(multiplication(X_17,addition(one,X_12))) != domain(multiplication(X_17,one))
| domain(multiplication(X_17,one)) != domain(X_17)
| domain(multiplication(X_17,addition(one,X_12))) = domain(X_17) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(multiplication(X_17,addition(one,X_12))),domain(X_17)) ),[0],$fot(domain(multiplication(X_17,one)))]]) ).
cnf(refute_0_299,plain,
( domain(multiplication(X_17,addition(one,X_12))) != domain(multiplication(X_17,one))
| domain(multiplication(X_17,addition(one,X_12))) = domain(X_17) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_17,one)),domain(X_17)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
domain(multiplication(X_17,addition(one,X_12))) = domain(X_17),
inference(resolve,[$cnf( $equal(domain(multiplication(X_17,addition(one,X_12))),domain(multiplication(X_17,one))) )],[refute_0_292,refute_0_299]) ).
cnf(refute_0_301,plain,
domain(multiplication(X_117,addition(one,X_116))) = domain(X_117),
inference(subst,[],[refute_0_300:[bind(X_12,$fot(X_116)),bind(X_17,$fot(X_117))]]) ).
cnf(refute_0_302,plain,
( domain(addition(X0,multiplication(X_117,addition(one,X_116)))) != addition(domain(X0),domain(multiplication(X_117,addition(one,X_116))))
| domain(multiplication(X_117,addition(one,X_116))) != domain(X_117)
| domain(addition(X0,multiplication(X_117,addition(one,X_116)))) = addition(domain(X0),domain(X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,multiplication(X_117,addition(one,X_116)))),addition(domain(X0),domain(multiplication(X_117,addition(one,X_116))))) ),[1,1],$fot(domain(X_117))]]) ).
cnf(refute_0_303,plain,
( domain(addition(X0,multiplication(X_117,addition(one,X_116)))) != addition(domain(X0),domain(multiplication(X_117,addition(one,X_116))))
| domain(addition(X0,multiplication(X_117,addition(one,X_116)))) = addition(domain(X0),domain(X_117)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_117,addition(one,X_116))),domain(X_117)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
domain(addition(X0,multiplication(X_117,addition(one,X_116)))) = addition(domain(X0),domain(X_117)),
inference(resolve,[$cnf( $equal(domain(addition(X0,multiplication(X_117,addition(one,X_116)))),addition(domain(X0),domain(multiplication(X_117,addition(one,X_116))))) )],[refute_0_288,refute_0_303]) ).
cnf(refute_0_305,plain,
addition(domain(X0),domain(X_117)) = domain(addition(X0,X_117)),
inference(subst,[],[refute_0_27:[bind(X1,$fot(X_117))]]) ).
cnf(refute_0_306,plain,
( addition(domain(X0),domain(X_117)) != domain(addition(X0,X_117))
| domain(addition(X0,multiplication(X_117,addition(one,X_116)))) != addition(domain(X0),domain(X_117))
| domain(addition(X0,multiplication(X_117,addition(one,X_116)))) = domain(addition(X0,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(X0,multiplication(X_117,addition(one,X_116)))),addition(domain(X0),domain(X_117))) ),[1],$fot(domain(addition(X0,X_117)))]]) ).
cnf(refute_0_307,plain,
( domain(addition(X0,multiplication(X_117,addition(one,X_116)))) != addition(domain(X0),domain(X_117))
| domain(addition(X0,multiplication(X_117,addition(one,X_116)))) = domain(addition(X0,X_117)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(X_117)),domain(addition(X0,X_117))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
domain(addition(X0,multiplication(X_117,addition(one,X_116)))) = domain(addition(X0,X_117)),
inference(resolve,[$cnf( $equal(domain(addition(X0,multiplication(X_117,addition(one,X_116)))),addition(domain(X0),domain(X_117))) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(domain(skolemFOFtoCNF_X0))),bind(X_116,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),bind(X_117,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_310,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) != domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) != domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)))
| domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))))),bind(Z,$fot(domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_311,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))) != domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1))),domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_287,refute_0_311]) ).
cnf(refute_0_313,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) != domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) != domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) ),[0],$fot(domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_314,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) != domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( domain(X_18) != domain(domain(X_18))
| domain(domain(X_18)) = domain(X_18) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(domain(X_18))),bind(Y,$fot(domain(domain(X_18))))]]) ).
cnf(refute_0_316,plain,
domain(domain(X_18)) = domain(X_18),
inference(resolve,[$cnf( $equal(domain(X_18),domain(domain(X_18))) )],[refute_0_16,refute_0_315]) ).
cnf(refute_0_317,plain,
domain(domain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_316:[bind(X_18,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_318,plain,
domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) = domain(domain(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_300:[bind(X_12,$fot(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),bind(X_17,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_319,plain,
( domain(domain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1)
| domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) != domain(domain(skolemFOFtoCNF_X1))
| domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) = domain(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_132:[bind(X,$fot(domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))),bind(Y,$fot(domain(domain(skolemFOFtoCNF_X1)))),bind(Z,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_320,plain,
( domain(domain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1)
| domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) = domain(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),domain(domain(skolemFOFtoCNF_X1))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) = domain(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(domain(domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X1)) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
( domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) != domain(skolemFOFtoCNF_X1)
| domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X1)) ),[0],$fot(domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_323,plain,
( domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),domain(skolemFOFtoCNF_X1)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
( domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) != domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))
| domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) )],[refute_0_314,refute_0_323]) ).
cnf(refute_0_325,plain,
domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(domain(addition(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))),domain(multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),addition(one,multiplication(domain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))))) )],[refute_0_274,refute_0_324]) ).
cnf(refute_0_326,plain,
addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_327,plain,
addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_27:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_328,plain,
( addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) != domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1)
| addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X1)) ),[0],$fot(domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_329,plain,
( domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1)
| addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X1)) )],[refute_0_329,refute_0_326]) ).
cnf(refute_0_331,plain,
$false,
inference(resolve,[$cnf( $equal(domain(addition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X1)) )],[refute_0_325,refute_0_330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE063+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jun 16 11:21:08 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.93/2.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.93/2.15
% 1.93/2.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.03/2.19
%------------------------------------------------------------------------------