TSTP Solution File: KLE026+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE026+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 02:14:45 EDT 2022
% Result : Theorem 0.69s 0.90s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 66
% Syntax : Number of formulae : 333 ( 172 unt; 0 def)
% Number of atoms : 576 ( 462 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 472 ( 229 ~; 212 |; 18 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 474 ( 8 sgn 90 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
fof(test_1,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ) ).
fof(test_2,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2)
=> leq(multiplication(X1,X0),multiplication(X0,X2)) ) ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( ( test(X1)
& test(X2)
& multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) )
=> leq(multiplication(X1,X0),multiplication(X0,X2)) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( ( test(X1)
& test(X2)
& multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) )
=> leq(multiplication(X1,X0),multiplication(X0,X2)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_1,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_7,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X1,X0),multiplication(X0,X2))
& multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2)
& test(X1)
& test(X2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_11,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
& multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)
& test(skolemFOFtoCNF_X1_1)
& test(skolemFOFtoCNF_X2) ),
inference(skolemize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_14,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_16,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_18,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_20,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_22,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_24,plain,
test(skolemFOFtoCNF_X1_1),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_25,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_0_26,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X0] :
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(canonicalize,[],[test_2]) ).
fof(normalize_0_30,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| addition(X0,X1) = one )
& ( ~ complement(X1,X0)
| multiplication(X0,X1) = zero )
& ( ~ complement(X1,X0)
| multiplication(X1,X0) = zero )
& ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X1,X0) ) ),
inference(clausify,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( addition(X_50,addition(X_50,X_19)) != addition(X_50,X_19)
| leq(X_50,addition(X_50,X_19)) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_50)),bind(B,$fot(addition(X_50,X_19)))]]) ).
cnf(refute_0_2,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
addition(X_18,addition(X_18,X_19)) = addition(addition(X_18,X_18),X_19),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_18)),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).
cnf(refute_0_4,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
addition(X_18,X_18) = X_18,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_18))]]) ).
cnf(refute_0_6,plain,
( addition(X_18,X_18) != X_18
| addition(X_18,addition(X_18,X_19)) != addition(addition(X_18,X_18),X_19)
| addition(X_18,addition(X_18,X_19)) = addition(X_18,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_18,addition(X_18,X_19)),addition(addition(X_18,X_18),X_19)) ),[1,0],$fot(X_18)]]) ).
cnf(refute_0_7,plain,
( addition(X_18,addition(X_18,X_19)) != addition(addition(X_18,X_18),X_19)
| addition(X_18,addition(X_18,X_19)) = addition(X_18,X_19) ),
inference(resolve,[$cnf( $equal(addition(X_18,X_18),X_18) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
addition(X_18,addition(X_18,X_19)) = addition(X_18,X_19),
inference(resolve,[$cnf( $equal(addition(X_18,addition(X_18,X_19)),addition(addition(X_18,X_18),X_19)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
addition(X_50,addition(X_50,X_19)) = addition(X_50,X_19),
inference(subst,[],[refute_0_8:[bind(X_18,$fot(X_50))]]) ).
cnf(refute_0_10,plain,
( addition(X_50,X_19) != addition(X_50,X_19)
| addition(X_50,addition(X_50,X_19)) != addition(X_50,X_19)
| addition(X_50,addition(X_50,X_19)) = addition(X_50,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_50,addition(X_50,X_19)),addition(X_50,X_19)) ),[0,1],$fot(addition(X_50,X_19))]]) ).
cnf(refute_0_11,plain,
( addition(X_50,X_19) != addition(X_50,X_19)
| addition(X_50,addition(X_50,X_19)) = addition(X_50,X_19) ),
inference(resolve,[$cnf( $equal(addition(X_50,addition(X_50,X_19)),addition(X_50,X_19)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( addition(X_50,X_19) != addition(X_50,X_19)
| leq(X_50,addition(X_50,X_19)) ),
inference(resolve,[$cnf( $equal(addition(X_50,addition(X_50,X_19)),addition(X_50,X_19)) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
addition(X_50,X_19) = addition(X_50,X_19),
introduced(tautology,[refl,[$fot(addition(X_50,X_19))]]) ).
cnf(refute_0_14,plain,
leq(X_50,addition(X_50,X_19)),
inference(resolve,[$cnf( $equal(addition(X_50,X_19),addition(X_50,X_19)) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),
inference(subst,[],[refute_0_14:[bind(X_19,$fot(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(X_50,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_16,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_17,plain,
multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_38)),bind(B,$fot(skolemFOFtoCNF_X1_1)),bind(C,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_18,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_19,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_20,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_21,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_22,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_24,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_26,plain,
( multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)) ),[1],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_27,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(Y,$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_30,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)
| multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_32,plain,
( multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_17,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_35,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_36,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_36:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(B,$fot(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_38,plain,
( addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_39,plain,
( multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) )],[refute_0_33,refute_0_39]) ).
cnf(refute_0_41,plain,
( multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_42,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) != multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) ),[1],$fot(multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_44,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_38,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_38,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_15,refute_0_44]) ).
cnf(refute_0_46,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_83,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_45:[bind(X_38,$fot(X_83))]]) ).
cnf(refute_0_47,plain,
addition(skolemFOFtoCNF_X1_1,X_83) = addition(X_83,skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_34:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(X_83))]]) ).
cnf(refute_0_48,plain,
( addition(skolemFOFtoCNF_X1_1,X_83) != addition(X_83,skolemFOFtoCNF_X1_1)
| addition(X_83,skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,X_83) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(skolemFOFtoCNF_X1_1,X_83))),bind(Y,$fot(addition(X_83,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_49,plain,
addition(X_83,skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,X_83),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,X_83),addition(X_83,skolemFOFtoCNF_X1_1)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( addition(X_83,skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,X_83)
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_83,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,X_83),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_83,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1,0],$fot(addition(skolemFOFtoCNF_X1_1,X_83))]]) ).
cnf(refute_0_51,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_83,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,X_83),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(X_83,skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,X_83)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,X_83),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_83,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_46,refute_0_51]) ).
cnf(refute_0_53,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_52:[bind(X_83,$fot(addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))))]]) ).
cnf(refute_0_54,plain,
( addition(X_50,multiplication(X_50,addition(X_33,one))) != multiplication(X_50,addition(X_33,one))
| leq(X_50,multiplication(X_50,addition(X_33,one))) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_50)),bind(B,$fot(multiplication(X_50,addition(X_33,one))))]]) ).
cnf(refute_0_55,plain,
addition(X_18,addition(X_18,multiplication(X_18,X_33))) = addition(X_18,multiplication(X_18,X_33)),
inference(subst,[],[refute_0_8:[bind(X_19,$fot(multiplication(X_18,X_33)))]]) ).
cnf(refute_0_56,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_57,plain,
multiplication(X_28,addition(X_29,one)) = addition(multiplication(X_28,X_29),multiplication(X_28,one)),
inference(subst,[],[refute_0_56:[bind(A,$fot(X_28)),bind(B,$fot(X_29)),bind(C,$fot(one))]]) ).
cnf(refute_0_58,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_59,plain,
multiplication(X_28,one) = X_28,
inference(subst,[],[refute_0_58:[bind(A,$fot(X_28))]]) ).
cnf(refute_0_60,plain,
( multiplication(X_28,addition(X_29,one)) != addition(multiplication(X_28,X_29),multiplication(X_28,one))
| multiplication(X_28,one) != X_28
| multiplication(X_28,addition(X_29,one)) = addition(multiplication(X_28,X_29),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_28,addition(X_29,one)),addition(multiplication(X_28,X_29),multiplication(X_28,one))) ),[1,1],$fot(X_28)]]) ).
cnf(refute_0_61,plain,
( multiplication(X_28,addition(X_29,one)) != addition(multiplication(X_28,X_29),multiplication(X_28,one))
| multiplication(X_28,addition(X_29,one)) = addition(multiplication(X_28,X_29),X_28) ),
inference(resolve,[$cnf( $equal(multiplication(X_28,one),X_28) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
multiplication(X_28,addition(X_29,one)) = addition(multiplication(X_28,X_29),X_28),
inference(resolve,[$cnf( $equal(multiplication(X_28,addition(X_29,one)),addition(multiplication(X_28,X_29),multiplication(X_28,one))) )],[refute_0_57,refute_0_61]) ).
cnf(refute_0_63,plain,
addition(multiplication(X_28,X_29),X_28) = addition(X_28,multiplication(X_28,X_29)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_28)),bind(B,$fot(multiplication(X_28,X_29)))]]) ).
cnf(refute_0_64,plain,
( addition(multiplication(X_28,X_29),X_28) != addition(X_28,multiplication(X_28,X_29))
| multiplication(X_28,addition(X_29,one)) != addition(multiplication(X_28,X_29),X_28)
| multiplication(X_28,addition(X_29,one)) = addition(X_28,multiplication(X_28,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_28,addition(X_29,one)),addition(multiplication(X_28,X_29),X_28)) ),[1],$fot(addition(X_28,multiplication(X_28,X_29)))]]) ).
cnf(refute_0_65,plain,
( multiplication(X_28,addition(X_29,one)) != addition(multiplication(X_28,X_29),X_28)
| multiplication(X_28,addition(X_29,one)) = addition(X_28,multiplication(X_28,X_29)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_28,X_29),X_28),addition(X_28,multiplication(X_28,X_29))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
multiplication(X_28,addition(X_29,one)) = addition(X_28,multiplication(X_28,X_29)),
inference(resolve,[$cnf( $equal(multiplication(X_28,addition(X_29,one)),addition(multiplication(X_28,X_29),X_28)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
multiplication(X_18,addition(X_33,one)) = addition(X_18,multiplication(X_18,X_33)),
inference(subst,[],[refute_0_66:[bind(X_28,$fot(X_18)),bind(X_29,$fot(X_33))]]) ).
cnf(refute_0_68,plain,
( multiplication(X_18,addition(X_33,one)) != addition(X_18,multiplication(X_18,X_33))
| addition(X_18,multiplication(X_18,X_33)) = multiplication(X_18,addition(X_33,one)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(X_18,addition(X_33,one)))),bind(Y,$fot(addition(X_18,multiplication(X_18,X_33))))]]) ).
cnf(refute_0_69,plain,
addition(X_18,multiplication(X_18,X_33)) = multiplication(X_18,addition(X_33,one)),
inference(resolve,[$cnf( $equal(multiplication(X_18,addition(X_33,one)),addition(X_18,multiplication(X_18,X_33))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( addition(X_18,addition(X_18,multiplication(X_18,X_33))) != addition(X_18,multiplication(X_18,X_33))
| addition(X_18,multiplication(X_18,X_33)) != multiplication(X_18,addition(X_33,one))
| addition(X_18,multiplication(X_18,addition(X_33,one))) = addition(X_18,multiplication(X_18,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_18,addition(X_18,multiplication(X_18,X_33))),addition(X_18,multiplication(X_18,X_33))) ),[0,1],$fot(multiplication(X_18,addition(X_33,one)))]]) ).
cnf(refute_0_71,plain,
( addition(X_18,addition(X_18,multiplication(X_18,X_33))) != addition(X_18,multiplication(X_18,X_33))
| addition(X_18,multiplication(X_18,addition(X_33,one))) = addition(X_18,multiplication(X_18,X_33)) ),
inference(resolve,[$cnf( $equal(addition(X_18,multiplication(X_18,X_33)),multiplication(X_18,addition(X_33,one))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
addition(X_18,multiplication(X_18,addition(X_33,one))) = addition(X_18,multiplication(X_18,X_33)),
inference(resolve,[$cnf( $equal(addition(X_18,addition(X_18,multiplication(X_18,X_33))),addition(X_18,multiplication(X_18,X_33))) )],[refute_0_55,refute_0_71]) ).
cnf(refute_0_73,plain,
addition(X_50,multiplication(X_50,addition(X_33,one))) = addition(X_50,multiplication(X_50,X_33)),
inference(subst,[],[refute_0_72:[bind(X_18,$fot(X_50))]]) ).
cnf(refute_0_74,plain,
( addition(X_50,multiplication(X_50,X_33)) != multiplication(X_50,addition(X_33,one))
| addition(X_50,multiplication(X_50,addition(X_33,one))) != addition(X_50,multiplication(X_50,X_33))
| addition(X_50,multiplication(X_50,addition(X_33,one))) = multiplication(X_50,addition(X_33,one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_50,multiplication(X_50,addition(X_33,one))),addition(X_50,multiplication(X_50,X_33))) ),[1],$fot(multiplication(X_50,addition(X_33,one)))]]) ).
cnf(refute_0_75,plain,
( addition(X_50,multiplication(X_50,X_33)) != multiplication(X_50,addition(X_33,one))
| addition(X_50,multiplication(X_50,addition(X_33,one))) = multiplication(X_50,addition(X_33,one)) ),
inference(resolve,[$cnf( $equal(addition(X_50,multiplication(X_50,addition(X_33,one))),addition(X_50,multiplication(X_50,X_33))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( addition(X_50,multiplication(X_50,X_33)) != multiplication(X_50,addition(X_33,one))
| leq(X_50,multiplication(X_50,addition(X_33,one))) ),
inference(resolve,[$cnf( $equal(addition(X_50,multiplication(X_50,addition(X_33,one))),multiplication(X_50,addition(X_33,one))) )],[refute_0_75,refute_0_54]) ).
cnf(refute_0_77,plain,
( multiplication(X_28,addition(X_29,one)) != addition(X_28,multiplication(X_28,X_29))
| addition(X_28,multiplication(X_28,X_29)) = multiplication(X_28,addition(X_29,one)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(X_28,addition(X_29,one)))),bind(Y,$fot(addition(X_28,multiplication(X_28,X_29))))]]) ).
cnf(refute_0_78,plain,
addition(X_28,multiplication(X_28,X_29)) = multiplication(X_28,addition(X_29,one)),
inference(resolve,[$cnf( $equal(multiplication(X_28,addition(X_29,one)),addition(X_28,multiplication(X_28,X_29))) )],[refute_0_66,refute_0_77]) ).
cnf(refute_0_79,plain,
addition(X_50,multiplication(X_50,X_33)) = multiplication(X_50,addition(X_33,one)),
inference(subst,[],[refute_0_78:[bind(X_28,$fot(X_50)),bind(X_29,$fot(X_33))]]) ).
cnf(refute_0_80,plain,
leq(X_50,multiplication(X_50,addition(X_33,one))),
inference(resolve,[$cnf( $equal(addition(X_50,multiplication(X_50,X_33)),multiplication(X_50,addition(X_33,one))) )],[refute_0_79,refute_0_76]) ).
cnf(refute_0_81,plain,
leq(X_57,multiplication(X_57,addition(X_56,one))),
inference(subst,[],[refute_0_80:[bind(X_33,$fot(X_56)),bind(X_50,$fot(X_57))]]) ).
cnf(refute_0_82,plain,
addition(one,X_56) = addition(X_56,one),
inference(subst,[],[refute_0_34:[bind(A,$fot(one)),bind(B,$fot(X_56))]]) ).
cnf(refute_0_83,plain,
( addition(one,X_56) != addition(X_56,one)
| addition(X_56,one) = addition(one,X_56) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(one,X_56))),bind(Y,$fot(addition(X_56,one)))]]) ).
cnf(refute_0_84,plain,
addition(X_56,one) = addition(one,X_56),
inference(resolve,[$cnf( $equal(addition(one,X_56),addition(X_56,one)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( addition(X_56,one) != addition(one,X_56)
| ~ leq(X_57,multiplication(X_57,addition(X_56,one)))
| leq(X_57,multiplication(X_57,addition(one,X_56))) ),
introduced(tautology,[equality,[$cnf( leq(X_57,multiplication(X_57,addition(X_56,one))) ),[1,1],$fot(addition(one,X_56))]]) ).
cnf(refute_0_86,plain,
( ~ leq(X_57,multiplication(X_57,addition(X_56,one)))
| leq(X_57,multiplication(X_57,addition(one,X_56))) ),
inference(resolve,[$cnf( $equal(addition(X_56,one),addition(one,X_56)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
leq(X_57,multiplication(X_57,addition(one,X_56))),
inference(resolve,[$cnf( leq(X_57,multiplication(X_57,addition(X_56,one))) )],[refute_0_81,refute_0_86]) ).
cnf(refute_0_88,plain,
leq(addition(addition(one,X_61),one),multiplication(addition(addition(one,X_61),one),addition(one,X_61))),
inference(subst,[],[refute_0_87:[bind(X_56,$fot(X_61)),bind(X_57,$fot(addition(addition(one,X_61),one)))]]) ).
cnf(refute_0_89,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_90,plain,
multiplication(one,multiplication(addition(X_44,one),X_44)) = multiplication(addition(X_44,one),X_44),
inference(subst,[],[refute_0_89:[bind(A,$fot(multiplication(addition(X_44,one),X_44)))]]) ).
cnf(refute_0_91,plain,
multiplication(X_32,addition(X_33,one)) = addition(X_32,multiplication(X_32,X_33)),
inference(subst,[],[refute_0_66:[bind(X_28,$fot(X_32)),bind(X_29,$fot(X_33))]]) ).
cnf(refute_0_92,plain,
addition(one,X_33) = addition(X_33,one),
inference(subst,[],[refute_0_34:[bind(A,$fot(one)),bind(B,$fot(X_33))]]) ).
cnf(refute_0_93,plain,
( addition(one,X_33) != addition(X_33,one)
| addition(X_33,one) = addition(one,X_33) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(one,X_33))),bind(Y,$fot(addition(X_33,one)))]]) ).
cnf(refute_0_94,plain,
addition(X_33,one) = addition(one,X_33),
inference(resolve,[$cnf( $equal(addition(one,X_33),addition(X_33,one)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
( addition(X_33,one) != addition(one,X_33)
| multiplication(X_32,addition(X_33,one)) != addition(X_32,multiplication(X_32,X_33))
| multiplication(X_32,addition(one,X_33)) = addition(X_32,multiplication(X_32,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_32,addition(X_33,one)),addition(X_32,multiplication(X_32,X_33))) ),[0,1],$fot(addition(one,X_33))]]) ).
cnf(refute_0_96,plain,
( multiplication(X_32,addition(X_33,one)) != addition(X_32,multiplication(X_32,X_33))
| multiplication(X_32,addition(one,X_33)) = addition(X_32,multiplication(X_32,X_33)) ),
inference(resolve,[$cnf( $equal(addition(X_33,one),addition(one,X_33)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiplication(X_32,addition(one,X_33)) = addition(X_32,multiplication(X_32,X_33)),
inference(resolve,[$cnf( $equal(multiplication(X_32,addition(X_33,one)),addition(X_32,multiplication(X_32,X_33))) )],[refute_0_91,refute_0_96]) ).
cnf(refute_0_98,plain,
multiplication(multiplication(X_38,X_33),addition(one,X_33)) = addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33)),
inference(subst,[],[refute_0_97:[bind(X_32,$fot(multiplication(X_38,X_33)))]]) ).
cnf(refute_0_99,plain,
multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) = addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33)),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_38)),bind(B,$fot(multiplication(X_38,X_33))),bind(C,$fot(X_33))]]) ).
cnf(refute_0_100,plain,
( multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) != addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33))
| addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33)) = multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(addition(X_38,multiplication(X_38,X_33)),X_33))),bind(Y,$fot(addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33))))]]) ).
cnf(refute_0_101,plain,
addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33)) = multiplication(addition(X_38,multiplication(X_38,X_33)),X_33),
inference(resolve,[$cnf( $equal(multiplication(addition(X_38,multiplication(X_38,X_33)),X_33),addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33)) != multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)
| multiplication(multiplication(X_38,X_33),addition(one,X_33)) != addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33))
| multiplication(multiplication(X_38,X_33),addition(one,X_33)) = multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(X_38,X_33),addition(one,X_33)),addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33))) ),[1],$fot(multiplication(addition(X_38,multiplication(X_38,X_33)),X_33))]]) ).
cnf(refute_0_103,plain,
( multiplication(multiplication(X_38,X_33),addition(one,X_33)) != addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33))
| multiplication(multiplication(X_38,X_33),addition(one,X_33)) = multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33)),multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiplication(multiplication(X_38,X_33),addition(one,X_33)) = multiplication(addition(X_38,multiplication(X_38,X_33)),X_33),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_38,X_33),addition(one,X_33)),addition(multiplication(X_38,X_33),multiplication(multiplication(X_38,X_33),X_33))) )],[refute_0_98,refute_0_103]) ).
cnf(refute_0_105,plain,
multiplication(multiplication(X_38,X_33),addition(one,X_33)) = multiplication(X_38,multiplication(X_33,addition(one,X_33))),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_38)),bind(B,$fot(X_33)),bind(C,$fot(addition(one,X_33)))]]) ).
cnf(refute_0_106,plain,
( multiplication(multiplication(X_38,X_33),addition(one,X_33)) != multiplication(X_38,multiplication(X_33,addition(one,X_33)))
| multiplication(multiplication(X_38,X_33),addition(one,X_33)) != multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)
| multiplication(X_38,multiplication(X_33,addition(one,X_33))) = multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(X_38,X_33),addition(one,X_33)),multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)) ),[0],$fot(multiplication(X_38,multiplication(X_33,addition(one,X_33))))]]) ).
cnf(refute_0_107,plain,
( multiplication(multiplication(X_38,X_33),addition(one,X_33)) != multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)
| multiplication(X_38,multiplication(X_33,addition(one,X_33))) = multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_38,X_33),addition(one,X_33)),multiplication(X_38,multiplication(X_33,addition(one,X_33)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
multiplication(A,multiplication(addition(X_33,one),C)) = multiplication(multiplication(A,addition(X_33,one)),C),
inference(subst,[],[refute_0_19:[bind(B,$fot(addition(X_33,one)))]]) ).
cnf(refute_0_109,plain,
multiplication(A,addition(X_33,one)) = addition(A,multiplication(A,X_33)),
inference(subst,[],[refute_0_66:[bind(X_28,$fot(A)),bind(X_29,$fot(X_33))]]) ).
cnf(refute_0_110,plain,
( multiplication(A,addition(X_33,one)) != addition(A,multiplication(A,X_33))
| multiplication(A,multiplication(addition(X_33,one),C)) != multiplication(multiplication(A,addition(X_33,one)),C)
| multiplication(A,multiplication(addition(X_33,one),C)) = multiplication(addition(A,multiplication(A,X_33)),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,multiplication(addition(X_33,one),C)),multiplication(multiplication(A,addition(X_33,one)),C)) ),[1,0],$fot(addition(A,multiplication(A,X_33)))]]) ).
cnf(refute_0_111,plain,
( multiplication(A,multiplication(addition(X_33,one),C)) != multiplication(multiplication(A,addition(X_33,one)),C)
| multiplication(A,multiplication(addition(X_33,one),C)) = multiplication(addition(A,multiplication(A,X_33)),C) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(X_33,one)),addition(A,multiplication(A,X_33))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
multiplication(A,multiplication(addition(X_33,one),C)) = multiplication(addition(A,multiplication(A,X_33)),C),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(addition(X_33,one),C)),multiplication(multiplication(A,addition(X_33,one)),C)) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
( multiplication(A,multiplication(addition(X_33,one),C)) != multiplication(addition(A,multiplication(A,X_33)),C)
| multiplication(addition(A,multiplication(A,X_33)),C) = multiplication(A,multiplication(addition(X_33,one),C)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(A,multiplication(addition(X_33,one),C)))),bind(Y,$fot(multiplication(addition(A,multiplication(A,X_33)),C)))]]) ).
cnf(refute_0_114,plain,
multiplication(addition(A,multiplication(A,X_33)),C) = multiplication(A,multiplication(addition(X_33,one),C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(addition(X_33,one),C)),multiplication(addition(A,multiplication(A,X_33)),C)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) = multiplication(X_38,multiplication(addition(X_33,one),X_33)),
inference(subst,[],[refute_0_114:[bind(A,$fot(X_38)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_116,plain,
( multiplication(X_38,multiplication(X_33,addition(one,X_33))) != multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)
| multiplication(addition(X_38,multiplication(X_38,X_33)),X_33) != multiplication(X_38,multiplication(addition(X_33,one),X_33))
| multiplication(X_38,multiplication(X_33,addition(one,X_33))) = multiplication(X_38,multiplication(addition(X_33,one),X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(X_38,multiplication(X_33,addition(one,X_33))),multiplication(X_38,multiplication(addition(X_33,one),X_33))) ),[0],$fot(multiplication(addition(X_38,multiplication(X_38,X_33)),X_33))]]) ).
cnf(refute_0_117,plain,
( multiplication(X_38,multiplication(X_33,addition(one,X_33))) != multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)
| multiplication(X_38,multiplication(X_33,addition(one,X_33))) = multiplication(X_38,multiplication(addition(X_33,one),X_33)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_38,multiplication(X_38,X_33)),X_33),multiplication(X_38,multiplication(addition(X_33,one),X_33))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( multiplication(multiplication(X_38,X_33),addition(one,X_33)) != multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)
| multiplication(X_38,multiplication(X_33,addition(one,X_33))) = multiplication(X_38,multiplication(addition(X_33,one),X_33)) ),
inference(resolve,[$cnf( $equal(multiplication(X_38,multiplication(X_33,addition(one,X_33))),multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)) )],[refute_0_107,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplication(X_38,multiplication(X_33,addition(one,X_33))) = multiplication(X_38,multiplication(addition(X_33,one),X_33)),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_38,X_33),addition(one,X_33)),multiplication(addition(X_38,multiplication(X_38,X_33)),X_33)) )],[refute_0_104,refute_0_118]) ).
cnf(refute_0_120,plain,
multiplication(one,multiplication(X_44,addition(one,X_44))) = multiplication(one,multiplication(addition(X_44,one),X_44)),
inference(subst,[],[refute_0_119:[bind(X_33,$fot(X_44)),bind(X_38,$fot(one))]]) ).
cnf(refute_0_121,plain,
( multiplication(one,multiplication(X_44,addition(one,X_44))) != multiplication(one,multiplication(addition(X_44,one),X_44))
| multiplication(one,multiplication(addition(X_44,one),X_44)) = multiplication(one,multiplication(X_44,addition(one,X_44))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(one,multiplication(X_44,addition(one,X_44))))),bind(Y,$fot(multiplication(one,multiplication(addition(X_44,one),X_44))))]]) ).
cnf(refute_0_122,plain,
multiplication(one,multiplication(addition(X_44,one),X_44)) = multiplication(one,multiplication(X_44,addition(one,X_44))),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_44,addition(one,X_44))),multiplication(one,multiplication(addition(X_44,one),X_44))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( multiplication(one,multiplication(addition(X_44,one),X_44)) != multiplication(addition(X_44,one),X_44)
| multiplication(one,multiplication(addition(X_44,one),X_44)) != multiplication(one,multiplication(X_44,addition(one,X_44)))
| multiplication(one,multiplication(X_44,addition(one,X_44))) = multiplication(addition(X_44,one),X_44) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(addition(X_44,one),X_44)),multiplication(addition(X_44,one),X_44)) ),[0],$fot(multiplication(one,multiplication(X_44,addition(one,X_44))))]]) ).
cnf(refute_0_124,plain,
( multiplication(one,multiplication(addition(X_44,one),X_44)) != multiplication(addition(X_44,one),X_44)
| multiplication(one,multiplication(X_44,addition(one,X_44))) = multiplication(addition(X_44,one),X_44) ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(addition(X_44,one),X_44)),multiplication(one,multiplication(X_44,addition(one,X_44)))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiplication(one,multiplication(X_44,addition(one,X_44))) = multiplication(addition(X_44,one),X_44),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(addition(X_44,one),X_44)),multiplication(addition(X_44,one),X_44)) )],[refute_0_90,refute_0_124]) ).
cnf(refute_0_126,plain,
multiplication(one,multiplication(X_44,addition(one,X_44))) = multiplication(X_44,addition(one,X_44)),
inference(subst,[],[refute_0_89:[bind(A,$fot(multiplication(X_44,addition(one,X_44))))]]) ).
cnf(refute_0_127,plain,
( multiplication(one,multiplication(X_44,addition(one,X_44))) != multiplication(X_44,addition(one,X_44))
| multiplication(one,multiplication(X_44,addition(one,X_44))) != multiplication(addition(X_44,one),X_44)
| multiplication(X_44,addition(one,X_44)) = multiplication(addition(X_44,one),X_44) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(X_44,addition(one,X_44))),multiplication(addition(X_44,one),X_44)) ),[0],$fot(multiplication(X_44,addition(one,X_44)))]]) ).
cnf(refute_0_128,plain,
( multiplication(one,multiplication(X_44,addition(one,X_44))) != multiplication(addition(X_44,one),X_44)
| multiplication(X_44,addition(one,X_44)) = multiplication(addition(X_44,one),X_44) ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_44,addition(one,X_44))),multiplication(X_44,addition(one,X_44))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
multiplication(X_44,addition(one,X_44)) = multiplication(addition(X_44,one),X_44),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_44,addition(one,X_44))),multiplication(addition(X_44,one),X_44)) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
multiplication(addition(one,X_61),addition(one,addition(one,X_61))) = multiplication(addition(addition(one,X_61),one),addition(one,X_61)),
inference(subst,[],[refute_0_129:[bind(X_44,$fot(addition(one,X_61)))]]) ).
cnf(refute_0_131,plain,
( multiplication(addition(one,X_61),addition(one,addition(one,X_61))) != multiplication(addition(addition(one,X_61),one),addition(one,X_61))
| multiplication(addition(addition(one,X_61),one),addition(one,X_61)) = multiplication(addition(one,X_61),addition(one,addition(one,X_61))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(addition(one,X_61),addition(one,addition(one,X_61))))),bind(Y,$fot(multiplication(addition(addition(one,X_61),one),addition(one,X_61))))]]) ).
cnf(refute_0_132,plain,
multiplication(addition(addition(one,X_61),one),addition(one,X_61)) = multiplication(addition(one,X_61),addition(one,addition(one,X_61))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_61),addition(one,addition(one,X_61))),multiplication(addition(addition(one,X_61),one),addition(one,X_61))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( multiplication(addition(addition(one,X_61),one),addition(one,X_61)) != multiplication(addition(one,X_61),addition(one,addition(one,X_61)))
| ~ leq(addition(addition(one,X_61),one),multiplication(addition(addition(one,X_61),one),addition(one,X_61)))
| leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) ),
introduced(tautology,[equality,[$cnf( leq(addition(addition(one,X_61),one),multiplication(addition(addition(one,X_61),one),addition(one,X_61))) ),[1],$fot(multiplication(addition(one,X_61),addition(one,addition(one,X_61))))]]) ).
cnf(refute_0_134,plain,
( ~ leq(addition(addition(one,X_61),one),multiplication(addition(addition(one,X_61),one),addition(one,X_61)))
| leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(one,X_61),one),addition(one,X_61)),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))),
inference(resolve,[$cnf( leq(addition(addition(one,X_61),one),multiplication(addition(addition(one,X_61),one),addition(one,X_61))) )],[refute_0_88,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(addition(X_18,X_19),addition(X_18,X_19)) = addition(addition(addition(X_18,X_19),X_18),X_19),
inference(subst,[],[refute_0_2:[bind(A,$fot(addition(X_18,X_19))),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).
cnf(refute_0_137,plain,
addition(addition(X_18,X_19),addition(X_18,X_19)) = addition(X_18,X_19),
inference(subst,[],[refute_0_4:[bind(A,$fot(addition(X_18,X_19)))]]) ).
cnf(refute_0_138,plain,
( addition(addition(X_18,X_19),addition(X_18,X_19)) != addition(X_18,X_19)
| addition(addition(X_18,X_19),addition(X_18,X_19)) != addition(addition(addition(X_18,X_19),X_18),X_19)
| addition(X_18,X_19) = addition(addition(addition(X_18,X_19),X_18),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_18,X_19),addition(X_18,X_19)),addition(addition(addition(X_18,X_19),X_18),X_19)) ),[0],$fot(addition(X_18,X_19))]]) ).
cnf(refute_0_139,plain,
( addition(addition(X_18,X_19),addition(X_18,X_19)) != addition(addition(addition(X_18,X_19),X_18),X_19)
| addition(X_18,X_19) = addition(addition(addition(X_18,X_19),X_18),X_19) ),
inference(resolve,[$cnf( $equal(addition(addition(X_18,X_19),addition(X_18,X_19)),addition(X_18,X_19)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(X_18,X_19) = addition(addition(addition(X_18,X_19),X_18),X_19),
inference(resolve,[$cnf( $equal(addition(addition(X_18,X_19),addition(X_18,X_19)),addition(addition(addition(X_18,X_19),X_18),X_19)) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
addition(X_17,addition(X_18,X_19)) = addition(addition(X_17,X_18),X_19),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).
cnf(refute_0_142,plain,
addition(X_19,X_18) = addition(X_18,X_19),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_19)),bind(B,$fot(X_18))]]) ).
cnf(refute_0_143,plain,
( addition(X_19,X_18) != addition(X_18,X_19)
| addition(X_18,X_19) = addition(X_19,X_18) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(X_19,X_18))),bind(Y,$fot(addition(X_18,X_19)))]]) ).
cnf(refute_0_144,plain,
addition(X_18,X_19) = addition(X_19,X_18),
inference(resolve,[$cnf( $equal(addition(X_19,X_18),addition(X_18,X_19)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( addition(X_17,addition(X_18,X_19)) != addition(addition(X_17,X_18),X_19)
| addition(X_18,X_19) != addition(X_19,X_18)
| addition(X_17,addition(X_19,X_18)) = addition(addition(X_17,X_18),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_17,addition(X_18,X_19)),addition(addition(X_17,X_18),X_19)) ),[0,1],$fot(addition(X_19,X_18))]]) ).
cnf(refute_0_146,plain,
( addition(X_17,addition(X_18,X_19)) != addition(addition(X_17,X_18),X_19)
| addition(X_17,addition(X_19,X_18)) = addition(addition(X_17,X_18),X_19) ),
inference(resolve,[$cnf( $equal(addition(X_18,X_19),addition(X_19,X_18)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
addition(X_17,addition(X_19,X_18)) = addition(addition(X_17,X_18),X_19),
inference(resolve,[$cnf( $equal(addition(X_17,addition(X_18,X_19)),addition(addition(X_17,X_18),X_19)) )],[refute_0_141,refute_0_146]) ).
cnf(refute_0_148,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_149,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_2,refute_0_148]) ).
cnf(refute_0_150,plain,
addition(addition(X_17,X_18),X_19) = addition(X_17,addition(X_18,X_19)),
inference(subst,[],[refute_0_149:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).
cnf(refute_0_151,plain,
( addition(X_17,addition(X_19,X_18)) != addition(addition(X_17,X_18),X_19)
| addition(addition(X_17,X_18),X_19) != addition(X_17,addition(X_18,X_19))
| addition(X_17,addition(X_19,X_18)) = addition(X_17,addition(X_18,X_19)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_17,addition(X_19,X_18)),addition(X_17,addition(X_18,X_19))) ),[0],$fot(addition(addition(X_17,X_18),X_19))]]) ).
cnf(refute_0_152,plain,
( addition(X_17,addition(X_19,X_18)) != addition(addition(X_17,X_18),X_19)
| addition(X_17,addition(X_19,X_18)) = addition(X_17,addition(X_18,X_19)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_17,X_18),X_19),addition(X_17,addition(X_18,X_19))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
addition(X_17,addition(X_19,X_18)) = addition(X_17,addition(X_18,X_19)),
inference(resolve,[$cnf( $equal(addition(X_17,addition(X_19,X_18)),addition(addition(X_17,X_18),X_19)) )],[refute_0_147,refute_0_152]) ).
cnf(refute_0_154,plain,
( addition(X_17,addition(X_19,X_18)) != addition(X_17,addition(X_18,X_19))
| addition(X_17,addition(X_18,X_19)) = addition(X_17,addition(X_19,X_18)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(X_17,addition(X_19,X_18)))),bind(Y,$fot(addition(X_17,addition(X_18,X_19))))]]) ).
cnf(refute_0_155,plain,
addition(X_17,addition(X_18,X_19)) = addition(X_17,addition(X_19,X_18)),
inference(resolve,[$cnf( $equal(addition(X_17,addition(X_19,X_18)),addition(X_17,addition(X_18,X_19))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
addition(X_19,addition(addition(X_18,X_19),X_18)) = addition(X_19,addition(X_18,addition(X_18,X_19))),
inference(subst,[],[refute_0_155:[bind(X_17,$fot(X_19)),bind(X_18,$fot(addition(X_18,X_19))),bind(X_19,$fot(X_18))]]) ).
cnf(refute_0_157,plain,
addition(A,addition(X_17,X_18)) = addition(addition(X_17,X_18),A),
inference(subst,[],[refute_0_34:[bind(B,$fot(addition(X_17,X_18)))]]) ).
cnf(refute_0_158,plain,
addition(X_17,addition(X_18,A)) = addition(addition(X_17,X_18),A),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(A))]]) ).
cnf(refute_0_159,plain,
( addition(X_17,addition(X_18,A)) != addition(addition(X_17,X_18),A)
| addition(addition(X_17,X_18),A) = addition(X_17,addition(X_18,A)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(X_17,addition(X_18,A)))),bind(Y,$fot(addition(addition(X_17,X_18),A)))]]) ).
cnf(refute_0_160,plain,
addition(addition(X_17,X_18),A) = addition(X_17,addition(X_18,A)),
inference(resolve,[$cnf( $equal(addition(X_17,addition(X_18,A)),addition(addition(X_17,X_18),A)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( addition(A,addition(X_17,X_18)) != addition(addition(X_17,X_18),A)
| addition(addition(X_17,X_18),A) != addition(X_17,addition(X_18,A))
| addition(A,addition(X_17,X_18)) = addition(X_17,addition(X_18,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_17,X_18)),addition(X_17,addition(X_18,A))) ),[0],$fot(addition(addition(X_17,X_18),A))]]) ).
cnf(refute_0_162,plain,
( addition(A,addition(X_17,X_18)) != addition(addition(X_17,X_18),A)
| addition(A,addition(X_17,X_18)) = addition(X_17,addition(X_18,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_17,X_18),A),addition(X_17,addition(X_18,A))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
addition(A,addition(X_17,X_18)) = addition(X_17,addition(X_18,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_17,X_18)),addition(addition(X_17,X_18),A)) )],[refute_0_157,refute_0_162]) ).
cnf(refute_0_164,plain,
( addition(A,addition(X_17,X_18)) != addition(X_17,addition(X_18,A))
| addition(X_17,addition(X_18,A)) = addition(A,addition(X_17,X_18)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(A,addition(X_17,X_18)))),bind(Y,$fot(addition(X_17,addition(X_18,A))))]]) ).
cnf(refute_0_165,plain,
addition(X_17,addition(X_18,A)) = addition(A,addition(X_17,X_18)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_17,X_18)),addition(X_17,addition(X_18,A))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(addition(X_18,X_19),addition(X_18,X_19)) = addition(X_19,addition(addition(X_18,X_19),X_18)),
inference(subst,[],[refute_0_165:[bind(A,$fot(X_19)),bind(X_17,$fot(addition(X_18,X_19)))]]) ).
cnf(refute_0_167,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_168,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_22,refute_0_167]) ).
cnf(refute_0_169,plain,
( addition(X_19,addition(addition(X_18,X_19),X_18)) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(addition(X_18,X_19),addition(X_18,X_19)) != addition(X_19,addition(addition(X_18,X_19),X_18))
| addition(addition(X_18,X_19),addition(X_18,X_19)) = addition(X_19,addition(X_18,addition(X_18,X_19))) ),
inference(subst,[],[refute_0_168:[bind(X,$fot(addition(addition(X_18,X_19),addition(X_18,X_19)))),bind(Y,$fot(addition(X_19,addition(addition(X_18,X_19),X_18)))),bind(Z,$fot(addition(X_19,addition(X_18,addition(X_18,X_19)))))]]) ).
cnf(refute_0_170,plain,
( addition(X_19,addition(addition(X_18,X_19),X_18)) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(addition(X_18,X_19),addition(X_18,X_19)) = addition(X_19,addition(X_18,addition(X_18,X_19))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_18,X_19),addition(X_18,X_19)),addition(X_19,addition(addition(X_18,X_19),X_18))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
addition(addition(X_18,X_19),addition(X_18,X_19)) = addition(X_19,addition(X_18,addition(X_18,X_19))),
inference(resolve,[$cnf( $equal(addition(X_19,addition(addition(X_18,X_19),X_18)),addition(X_19,addition(X_18,addition(X_18,X_19)))) )],[refute_0_156,refute_0_170]) ).
cnf(refute_0_172,plain,
addition(addition(addition(X_18,X_19),X_18),X_19) = addition(addition(X_18,X_19),addition(X_18,X_19)),
inference(subst,[],[refute_0_149:[bind(A,$fot(addition(X_18,X_19))),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).
cnf(refute_0_173,plain,
( addition(addition(X_18,X_19),addition(X_18,X_19)) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(addition(addition(X_18,X_19),X_18),X_19) != addition(addition(X_18,X_19),addition(X_18,X_19))
| addition(addition(addition(X_18,X_19),X_18),X_19) = addition(X_19,addition(X_18,addition(X_18,X_19))) ),
inference(subst,[],[refute_0_168:[bind(X,$fot(addition(addition(addition(X_18,X_19),X_18),X_19))),bind(Y,$fot(addition(addition(X_18,X_19),addition(X_18,X_19)))),bind(Z,$fot(addition(X_19,addition(X_18,addition(X_18,X_19)))))]]) ).
cnf(refute_0_174,plain,
( addition(addition(X_18,X_19),addition(X_18,X_19)) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(addition(addition(X_18,X_19),X_18),X_19) = addition(X_19,addition(X_18,addition(X_18,X_19))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_18,X_19),X_18),X_19),addition(addition(X_18,X_19),addition(X_18,X_19))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
addition(addition(addition(X_18,X_19),X_18),X_19) = addition(X_19,addition(X_18,addition(X_18,X_19))),
inference(resolve,[$cnf( $equal(addition(addition(X_18,X_19),addition(X_18,X_19)),addition(X_19,addition(X_18,addition(X_18,X_19)))) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
( addition(X_18,X_19) != addition(addition(addition(X_18,X_19),X_18),X_19)
| addition(addition(addition(X_18,X_19),X_18),X_19) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(X_18,X_19) = addition(X_19,addition(X_18,addition(X_18,X_19))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_18,X_19),addition(X_19,addition(X_18,addition(X_18,X_19)))) ),[0],$fot(addition(addition(addition(X_18,X_19),X_18),X_19))]]) ).
cnf(refute_0_177,plain,
( addition(X_18,X_19) != addition(addition(addition(X_18,X_19),X_18),X_19)
| addition(X_18,X_19) = addition(X_19,addition(X_18,addition(X_18,X_19))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_18,X_19),X_18),X_19),addition(X_19,addition(X_18,addition(X_18,X_19)))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
addition(X_18,X_19) = addition(X_19,addition(X_18,addition(X_18,X_19))),
inference(resolve,[$cnf( $equal(addition(X_18,X_19),addition(addition(addition(X_18,X_19),X_18),X_19)) )],[refute_0_140,refute_0_177]) ).
cnf(refute_0_179,plain,
addition(X_19,addition(X_18,addition(X_18,X_19))) = addition(X_19,addition(X_18,addition(X_18,X_19))),
introduced(tautology,[refl,[$fot(addition(X_19,addition(X_18,addition(X_18,X_19))))]]) ).
cnf(refute_0_180,plain,
( addition(X_18,addition(X_18,X_19)) != addition(X_18,X_19)
| addition(X_19,addition(X_18,addition(X_18,X_19))) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(X_19,addition(X_18,addition(X_18,X_19))) = addition(X_19,addition(X_18,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_19,addition(X_18,addition(X_18,X_19))),addition(X_19,addition(X_18,addition(X_18,X_19)))) ),[1,1],$fot(addition(X_18,X_19))]]) ).
cnf(refute_0_181,plain,
( addition(X_18,addition(X_18,X_19)) != addition(X_18,X_19)
| addition(X_19,addition(X_18,addition(X_18,X_19))) = addition(X_19,addition(X_18,X_19)) ),
inference(resolve,[$cnf( $equal(addition(X_19,addition(X_18,addition(X_18,X_19))),addition(X_19,addition(X_18,addition(X_18,X_19)))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
addition(X_19,addition(X_18,addition(X_18,X_19))) = addition(X_19,addition(X_18,X_19)),
inference(resolve,[$cnf( $equal(addition(X_18,addition(X_18,X_19)),addition(X_18,X_19)) )],[refute_0_8,refute_0_181]) ).
cnf(refute_0_183,plain,
( addition(X_18,X_19) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(X_19,addition(X_18,addition(X_18,X_19))) != addition(X_19,addition(X_18,X_19))
| addition(X_18,X_19) = addition(X_19,addition(X_18,X_19)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_18,X_19),addition(X_19,addition(X_18,X_19))) ),[0],$fot(addition(X_19,addition(X_18,addition(X_18,X_19))))]]) ).
cnf(refute_0_184,plain,
( addition(X_18,X_19) != addition(X_19,addition(X_18,addition(X_18,X_19)))
| addition(X_18,X_19) = addition(X_19,addition(X_18,X_19)) ),
inference(resolve,[$cnf( $equal(addition(X_19,addition(X_18,addition(X_18,X_19))),addition(X_19,addition(X_18,X_19))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
addition(X_18,X_19) = addition(X_19,addition(X_18,X_19)),
inference(resolve,[$cnf( $equal(addition(X_18,X_19),addition(X_19,addition(X_18,addition(X_18,X_19)))) )],[refute_0_178,refute_0_184]) ).
cnf(refute_0_186,plain,
( addition(X_18,X_19) != addition(X_19,addition(X_18,X_19))
| addition(X_19,addition(X_18,X_19)) = addition(X_18,X_19) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(X_18,X_19))),bind(Y,$fot(addition(X_19,addition(X_18,X_19))))]]) ).
cnf(refute_0_187,plain,
addition(X_19,addition(X_18,X_19)) = addition(X_18,X_19),
inference(resolve,[$cnf( $equal(addition(X_18,X_19),addition(X_19,addition(X_18,X_19))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
addition(one,addition(X_61,one)) = addition(X_61,one),
inference(subst,[],[refute_0_187:[bind(X_18,$fot(X_61)),bind(X_19,$fot(one))]]) ).
cnf(refute_0_189,plain,
addition(addition(one,X_61),one) = addition(one,addition(X_61,one)),
inference(subst,[],[refute_0_149:[bind(A,$fot(one)),bind(B,$fot(X_61)),bind(C,$fot(one))]]) ).
cnf(refute_0_190,plain,
( addition(addition(one,X_61),one) != addition(one,addition(X_61,one))
| addition(one,addition(X_61,one)) != addition(X_61,one)
| addition(addition(one,X_61),one) = addition(X_61,one) ),
inference(subst,[],[refute_0_168:[bind(X,$fot(addition(addition(one,X_61),one))),bind(Y,$fot(addition(one,addition(X_61,one)))),bind(Z,$fot(addition(X_61,one)))]]) ).
cnf(refute_0_191,plain,
( addition(one,addition(X_61,one)) != addition(X_61,one)
| addition(addition(one,X_61),one) = addition(X_61,one) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_61),one),addition(one,addition(X_61,one))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
addition(addition(one,X_61),one) = addition(X_61,one),
inference(resolve,[$cnf( $equal(addition(one,addition(X_61,one)),addition(X_61,one)) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
( addition(addition(one,X_61),one) != addition(X_61,one)
| ~ leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61))))
| leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) ),
introduced(tautology,[equality,[$cnf( leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) ),[0],$fot(addition(X_61,one))]]) ).
cnf(refute_0_194,plain,
( ~ leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61))))
| leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_61),one),addition(X_61,one)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
addition(one,addition(one,X_61)) = addition(one,X_61),
inference(subst,[],[refute_0_8:[bind(X_18,$fot(one)),bind(X_19,$fot(X_61))]]) ).
cnf(refute_0_196,plain,
multiplication(addition(one,X_61),addition(one,addition(one,X_61))) = multiplication(addition(one,X_61),addition(one,addition(one,X_61))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,X_61),addition(one,addition(one,X_61))))]]) ).
cnf(refute_0_197,plain,
( addition(one,addition(one,X_61)) != addition(one,X_61)
| multiplication(addition(one,X_61),addition(one,addition(one,X_61))) != multiplication(addition(one,X_61),addition(one,addition(one,X_61)))
| multiplication(addition(one,X_61),addition(one,addition(one,X_61))) = multiplication(addition(one,X_61),addition(one,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_61),addition(one,addition(one,X_61))),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) ),[1,1],$fot(addition(one,X_61))]]) ).
cnf(refute_0_198,plain,
( addition(one,addition(one,X_61)) != addition(one,X_61)
| multiplication(addition(one,X_61),addition(one,addition(one,X_61))) = multiplication(addition(one,X_61),addition(one,X_61)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_61),addition(one,addition(one,X_61))),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiplication(addition(one,X_61),addition(one,addition(one,X_61))) = multiplication(addition(one,X_61),addition(one,X_61)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_61)),addition(one,X_61)) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( multiplication(addition(one,X_61),addition(one,addition(one,X_61))) != multiplication(addition(one,X_61),addition(one,X_61))
| ~ leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,addition(one,X_61))))
| leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) ),
introduced(tautology,[equality,[$cnf( leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) ),[1],$fot(multiplication(addition(one,X_61),addition(one,X_61)))]]) ).
cnf(refute_0_201,plain,
( ~ leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,addition(one,X_61))))
| leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_61),addition(one,addition(one,X_61))),multiplication(addition(one,X_61),addition(one,X_61))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( ~ leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61))))
| leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) ),
inference(resolve,[$cnf( leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) )],[refute_0_194,refute_0_201]) ).
cnf(refute_0_203,plain,
leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))),
inference(resolve,[$cnf( leq(addition(addition(one,X_61),one),multiplication(addition(one,X_61),addition(one,addition(one,X_61)))) )],[refute_0_135,refute_0_202]) ).
cnf(refute_0_204,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_205,plain,
( ~ leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61)))
| addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) = multiplication(addition(one,X_61),addition(one,X_61)) ),
inference(subst,[],[refute_0_204:[bind(A,$fot(addition(X_61,one))),bind(B,$fot(multiplication(addition(one,X_61),addition(one,X_61))))]]) ).
cnf(refute_0_206,plain,
addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) = multiplication(addition(one,X_61),addition(one,X_61)),
inference(resolve,[$cnf( leq(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) )],[refute_0_203,refute_0_205]) ).
cnf(refute_0_207,plain,
addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) = addition(X_61,addition(one,multiplication(addition(one,X_61),addition(one,X_61)))),
inference(subst,[],[refute_0_149:[bind(A,$fot(X_61)),bind(B,$fot(one)),bind(C,$fot(multiplication(addition(one,X_61),addition(one,X_61))))]]) ).
cnf(refute_0_208,plain,
( addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) != addition(X_61,addition(one,multiplication(addition(one,X_61),addition(one,X_61))))
| addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) != multiplication(addition(one,X_61),addition(one,X_61))
| addition(X_61,addition(one,multiplication(addition(one,X_61),addition(one,X_61)))) = multiplication(addition(one,X_61),addition(one,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))),multiplication(addition(one,X_61),addition(one,X_61))) ),[0],$fot(addition(X_61,addition(one,multiplication(addition(one,X_61),addition(one,X_61)))))]]) ).
cnf(refute_0_209,plain,
( addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))) != multiplication(addition(one,X_61),addition(one,X_61))
| addition(X_61,addition(one,multiplication(addition(one,X_61),addition(one,X_61)))) = multiplication(addition(one,X_61),addition(one,X_61)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))),addition(X_61,addition(one,multiplication(addition(one,X_61),addition(one,X_61))))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
addition(X_61,addition(one,multiplication(addition(one,X_61),addition(one,X_61)))) = multiplication(addition(one,X_61),addition(one,X_61)),
inference(resolve,[$cnf( $equal(addition(addition(X_61,one),multiplication(addition(one,X_61),addition(one,X_61))),multiplication(addition(one,X_61),addition(one,X_61))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_210:[bind(X_61,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_212,plain,
( addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))) != multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1))
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1,0],$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_213,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,addition(one,multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_53,refute_0_213]) ).
cnf(refute_0_215,plain,
multiplication(addition(one,X_39),X_40) = addition(multiplication(one,X_40),multiplication(X_39,X_40)),
inference(subst,[],[refute_0_16:[bind(A,$fot(one)),bind(B,$fot(X_39)),bind(C,$fot(X_40))]]) ).
cnf(refute_0_216,plain,
multiplication(one,X_40) = X_40,
inference(subst,[],[refute_0_89:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_217,plain,
( multiplication(addition(one,X_39),X_40) != addition(multiplication(one,X_40),multiplication(X_39,X_40))
| multiplication(one,X_40) != X_40
| multiplication(addition(one,X_39),X_40) = addition(X_40,multiplication(X_39,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_39),X_40),addition(multiplication(one,X_40),multiplication(X_39,X_40))) ),[1,0],$fot(X_40)]]) ).
cnf(refute_0_218,plain,
( multiplication(addition(one,X_39),X_40) != addition(multiplication(one,X_40),multiplication(X_39,X_40))
| multiplication(addition(one,X_39),X_40) = addition(X_40,multiplication(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_40),X_40) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiplication(addition(one,X_39),X_40) = addition(X_40,multiplication(X_39,X_40)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_39),X_40),addition(multiplication(one,X_40),multiplication(X_39,X_40))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_219:[bind(X_39,$fot(skolemFOFtoCNF_X1_1)),bind(X_40,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_221,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_222,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) )],[refute_0_30,refute_0_221]) ).
cnf(refute_0_223,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_220,refute_0_222]) ).
cnf(refute_0_224,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_225,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) != multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) ),[1,1],$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_226,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_24:[bind(A,$fot(addition(one,skolemFOFtoCNF_X1_1))),bind(B,$fot(addition(one,skolemFOFtoCNF_X1_1))),bind(C,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_229,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) != multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))
| multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_168:[bind(X,$fot(multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Y,$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))),bind(Z,$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_230,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) != multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))
| multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
( multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1],$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_233,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(one,skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_214,refute_0_233]) ).
cnf(refute_0_235,plain,
multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_89:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_236,plain,
addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) = addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_0_8:[bind(X_18,$fot(skolemFOFtoCNF_X1_1)),bind(X_19,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_237,plain,
test(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_238,plain,
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_239,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_238:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_240,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_237,refute_0_239]) ).
cnf(refute_0_241,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_242,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one ),
inference(subst,[],[refute_0_241:[bind(X0,$fot(skolemFOFtoCNF_X1_1)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_243,plain,
addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) )],[refute_0_240,refute_0_242]) ).
cnf(refute_0_244,plain,
( addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| addition(skolemFOFtoCNF_X1_1,one) = addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_245,plain,
( addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X1_1,one) = addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
addition(skolemFOFtoCNF_X1_1,one) = addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_236,refute_0_245]) ).
cnf(refute_0_247,plain,
addition(skolemFOFtoCNF_X1_1,one) = addition(one,skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_36:[bind(A,$fot(one)),bind(B,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_248,plain,
( addition(skolemFOFtoCNF_X1_1,one) != addition(one,skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,one) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(one,skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,one),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) ),[0],$fot(addition(one,skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_249,plain,
( addition(skolemFOFtoCNF_X1_1,one) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(one,skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,one),addition(one,skolemFOFtoCNF_X1_1)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( addition(one,skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| addition(one,skolemFOFtoCNF_X1_1) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,skolemFOFtoCNF_X1_1),one) ),[0],$fot(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_251,plain,
( addition(one,skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(one,skolemFOFtoCNF_X1_1) = one ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_243,refute_0_250]) ).
cnf(refute_0_252,plain,
( addition(skolemFOFtoCNF_X1_1,one) != addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))
| addition(one,skolemFOFtoCNF_X1_1) = one ),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_249,refute_0_251]) ).
cnf(refute_0_253,plain,
addition(one,skolemFOFtoCNF_X1_1) = one,
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,one),addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1))) )],[refute_0_246,refute_0_252]) ).
cnf(refute_0_254,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_255,plain,
( addition(one,skolemFOFtoCNF_X1_1) != one
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_256,plain,
( addition(one,skolemFOFtoCNF_X1_1) != one
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X1_1),one) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_168:[bind(X,$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Y,$fot(multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Z,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_259,plain,
( multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_235,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),[0],$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_262,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) )],[refute_0_223,refute_0_262]) ).
cnf(refute_0_264,plain,
( multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_265,plain,
addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_267,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) != multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))
| multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_268,plain,
( addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_271,plain,
( addition(one,skolemFOFtoCNF_X1_1) != one
| multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) != multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_272,plain,
( addition(one,skolemFOFtoCNF_X1_1) != one
| multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(addition(one,skolemFOFtoCNF_X1_1),one) )],[refute_0_253,refute_0_272]) ).
cnf(refute_0_274,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) != multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))
| multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) != multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_168:[bind(X,$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))),bind(Y,$fot(multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))),bind(Z,$fot(multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_275,plain,
( multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) != multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(one,addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_269,refute_0_275]) ).
cnf(refute_0_277,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) != multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_168:[bind(X,$fot(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))),bind(Y,$fot(multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Z,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_278,plain,
( multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_235,refute_0_278]) ).
cnf(refute_0_280,plain,
( multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) ),[1],$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_281,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(one,skolemFOFtoCNF_X1_1),addition(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))) )],[refute_0_234,refute_0_281]) ).
cnf(refute_0_283,plain,
~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_284,plain,
$false,
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_282,refute_0_283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE026+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 14:59:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.69/0.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.90
% 0.69/0.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.77/0.93
%------------------------------------------------------------------------------