TSTP Solution File: KLE148+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE148+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:15:34 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 74 ( 51 unt; 0 def)
% Number of atoms : 105 ( 104 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 31 ~; 26 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 92 ( 5 sgn 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = 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(distributivity1,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
fof(infty_unfold1,axiom,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) ).
fof(goals,conjecture,
! [X0,X1] :
( multiplication(X0,X1) = zero
=> multiplication(X0,strong_iteration(X1)) = X0 ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( multiplication(X0,X1) = zero
=> multiplication(X0,strong_iteration(X1)) = X0 ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( multiplication(X0,X1) = zero
=> multiplication(X0,strong_iteration(X1)) = X0 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[distributivity1]) ).
fof(normalize_0_1,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [X0,X1] :
( multiplication(X0,strong_iteration(X1)) != X0
& multiplication(X0,X1) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X0
& multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = zero ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = zero,
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_8,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_10,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
inference(canonicalize,[],[infty_unfold1]) ).
fof(normalize_0_12,plain,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_14,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_16,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X0,
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) = addition(multiplication(skolemFOFtoCNF_X0,X_56),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20))),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(X_56)),bind(C,$fot(multiplication(skolemFOFtoCNF_X1,X_20)))]]) ).
cnf(refute_0_2,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) = multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_20),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X1)),bind(C,$fot(X_20))]]) ).
cnf(refute_0_4,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = zero,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) != multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_20)
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != zero
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) = multiplication(zero,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)),multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_20)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) != multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_20)
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) = multiplication(zero,X_20) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),zero) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) = multiplication(zero,X_20),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)),multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_20)) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_9,plain,
multiplication(zero,X_20) = zero,
inference(subst,[],[refute_0_8:[bind(A,$fot(X_20))]]) ).
cnf(refute_0_10,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) != multiplication(zero,X_20)
| multiplication(zero,X_20) != zero
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)),zero) ),[0],$fot(multiplication(zero,X_20))]]) ).
cnf(refute_0_11,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) != multiplication(zero,X_20)
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,X_20),zero) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) = zero,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)),multiplication(zero,X_20)) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) != addition(multiplication(skolemFOFtoCNF_X0,X_56),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)))
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)) != zero
| multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) = addition(multiplication(skolemFOFtoCNF_X0,X_56),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))),addition(multiplication(skolemFOFtoCNF_X0,X_56),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_14,plain,
( multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) != addition(multiplication(skolemFOFtoCNF_X0,X_56),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)))
| multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) = addition(multiplication(skolemFOFtoCNF_X0,X_56),zero) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)),zero) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) = addition(multiplication(skolemFOFtoCNF_X0,X_56),zero),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))),addition(multiplication(skolemFOFtoCNF_X0,X_56),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_20)))) )],[refute_0_1,refute_0_14]) ).
cnf(refute_0_16,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_17,plain,
addition(multiplication(skolemFOFtoCNF_X0,X_56),zero) = multiplication(skolemFOFtoCNF_X0,X_56),
inference(subst,[],[refute_0_16:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,X_56)))]]) ).
cnf(refute_0_18,plain,
( addition(multiplication(skolemFOFtoCNF_X0,X_56),zero) != multiplication(skolemFOFtoCNF_X0,X_56)
| multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) != addition(multiplication(skolemFOFtoCNF_X0,X_56),zero)
| multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) = multiplication(skolemFOFtoCNF_X0,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))),addition(multiplication(skolemFOFtoCNF_X0,X_56),zero)) ),[1],$fot(multiplication(skolemFOFtoCNF_X0,X_56))]]) ).
cnf(refute_0_19,plain,
( multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) != addition(multiplication(skolemFOFtoCNF_X0,X_56),zero)
| multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) = multiplication(skolemFOFtoCNF_X0,X_56) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,X_56),zero),multiplication(skolemFOFtoCNF_X0,X_56)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))) = multiplication(skolemFOFtoCNF_X0,X_56),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_56,multiplication(skolemFOFtoCNF_X1,X_20))),addition(multiplication(skolemFOFtoCNF_X0,X_56),zero)) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))) = multiplication(skolemFOFtoCNF_X0,one),
inference(subst,[],[refute_0_20:[bind(X_20,$fot(strong_iteration(skolemFOFtoCNF_X1))),bind(X_56,$fot(one))]]) ).
cnf(refute_0_22,plain,
strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_23,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_24,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_25,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_26,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_28,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
addition(multiplication(A,strong_iteration(A)),one) = addition(one,multiplication(A,strong_iteration(A))),
inference(subst,[],[refute_0_28:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_30,plain,
( addition(multiplication(A,strong_iteration(A)),one) != addition(one,multiplication(A,strong_iteration(A)))
| strong_iteration(A) != addition(multiplication(A,strong_iteration(A)),one)
| strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))) ),
introduced(tautology,[equality,[$cnf( $equal(strong_iteration(A),addition(multiplication(A,strong_iteration(A)),one)) ),[1],$fot(addition(one,multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_31,plain,
( strong_iteration(A) != addition(multiplication(A,strong_iteration(A)),one)
| strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),one),addition(one,multiplication(A,strong_iteration(A)))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))),
inference(resolve,[$cnf( $equal(strong_iteration(A),addition(multiplication(A,strong_iteration(A)),one)) )],[refute_0_22,refute_0_31]) ).
cnf(refute_0_33,plain,
strong_iteration(skolemFOFtoCNF_X1) = addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_34,plain,
( strong_iteration(skolemFOFtoCNF_X1) != addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))
| addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1))) = strong_iteration(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(strong_iteration(skolemFOFtoCNF_X1))),bind(Y,$fot(addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_35,plain,
addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1))) = strong_iteration(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(strong_iteration(skolemFOFtoCNF_X1),addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1))) != strong_iteration(skolemFOFtoCNF_X1)
| multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) = multiplication(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))),multiplication(skolemFOFtoCNF_X0,one)) ),[0,1],$fot(strong_iteration(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_37,plain,
( multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) = multiplication(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1))),strong_iteration(skolemFOFtoCNF_X1)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) = multiplication(skolemFOFtoCNF_X0,one),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,strong_iteration(skolemFOFtoCNF_X1)))),multiplication(skolemFOFtoCNF_X0,one)) )],[refute_0_21,refute_0_37]) ).
cnf(refute_0_39,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_40,plain,
multiplication(skolemFOFtoCNF_X0,one) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_39:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_41,plain,
( multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,one)) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_42,plain,
( multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,one)) )],[refute_0_38,refute_0_42]) ).
cnf(refute_0_44,plain,
multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X0,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_45,plain,
$false,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,strong_iteration(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) )],[refute_0_43,refute_0_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE148+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.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 16:32:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49
% 0.19/0.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.49
%------------------------------------------------------------------------------