TSTP Solution File: KLE167+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE167+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 02:15:40 EDT 2022
% Result : Theorem 6.85s 7.01s
% Output : CNFRefutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 43
% Syntax : Number of formulae : 224 ( 132 unt; 0 def)
% Number of atoms : 355 ( 297 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 262 ( 131 ~; 112 |; 7 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 393 ( 14 sgn 94 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(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(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(star_unfold1,axiom,
! [A] : addition(one,multiplication(A,star(A))) = star(A) ).
fof(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
fof(goals,conjecture,
! [X0,X1] :
( ( multiplication(X0,X1) = zero
=> leq(multiplication(X0,star(X1)),X0) )
& leq(X0,multiplication(X0,star(X1))) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( multiplication(X0,X1) = zero
=> leq(multiplication(X0,star(X1)),X0) ),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
! [X0,X1] :
( ( multiplication(X0,X1) = zero
=> leq(multiplication(X0,star(X1)),X0) )
=> leq(X0,multiplication(X0,star(X1))) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( multiplication(X0,X1) = zero
=> leq(multiplication(X0,star(X1)),X0) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] :
( ~ leq(multiplication(X0,star(X1)),X0)
& multiplication(X0,X1) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0)
& multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = zero ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ leq(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[distributivity1]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_6,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = zero,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_9,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_11,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_13,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
inference(canonicalize,[],[star_unfold1]) ).
fof(normalize_0_15,plain,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_17,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_19,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[idempotence]) ).
fof(normalize_0_23,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_22]) ).
cnf(refute_0_0,plain,
~ leq(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) = addition(multiplication(skolemFOFtoCNF_X0,X_156),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37))),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(X_156)),bind(C,$fot(multiplication(skolemFOFtoCNF_X1,X_37)))]]) ).
cnf(refute_0_3,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) = multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_37),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_X0)),bind(B,$fot(skolemFOFtoCNF_X1)),bind(C,$fot(X_37))]]) ).
cnf(refute_0_5,plain,
multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = zero,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) != multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_37)
| multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != zero
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) = multiplication(zero,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)),multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_37)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) != multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_37)
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) = multiplication(zero,X_37) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),zero) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) = multiplication(zero,X_37),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)),multiplication(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_37)) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_10,plain,
multiplication(zero,X_37) = zero,
inference(subst,[],[refute_0_9:[bind(A,$fot(X_37))]]) ).
cnf(refute_0_11,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) != multiplication(zero,X_37)
| multiplication(zero,X_37) != zero
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)),zero) ),[0],$fot(multiplication(zero,X_37))]]) ).
cnf(refute_0_12,plain,
( multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) != multiplication(zero,X_37)
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,X_37),zero) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) = zero,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)),multiplication(zero,X_37)) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) != addition(multiplication(skolemFOFtoCNF_X0,X_156),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)))
| multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)) != zero
| multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) = addition(multiplication(skolemFOFtoCNF_X0,X_156),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))),addition(multiplication(skolemFOFtoCNF_X0,X_156),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_15,plain,
( multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) != addition(multiplication(skolemFOFtoCNF_X0,X_156),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)))
| multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) = addition(multiplication(skolemFOFtoCNF_X0,X_156),zero) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)),zero) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) = addition(multiplication(skolemFOFtoCNF_X0,X_156),zero),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))),addition(multiplication(skolemFOFtoCNF_X0,X_156),multiplication(skolemFOFtoCNF_X0,multiplication(skolemFOFtoCNF_X1,X_37)))) )],[refute_0_2,refute_0_15]) ).
cnf(refute_0_17,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_18,plain,
addition(multiplication(skolemFOFtoCNF_X0,X_156),zero) = multiplication(skolemFOFtoCNF_X0,X_156),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,X_156)))]]) ).
cnf(refute_0_19,plain,
( addition(multiplication(skolemFOFtoCNF_X0,X_156),zero) != multiplication(skolemFOFtoCNF_X0,X_156)
| multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) != addition(multiplication(skolemFOFtoCNF_X0,X_156),zero)
| multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) = multiplication(skolemFOFtoCNF_X0,X_156) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))),addition(multiplication(skolemFOFtoCNF_X0,X_156),zero)) ),[1],$fot(multiplication(skolemFOFtoCNF_X0,X_156))]]) ).
cnf(refute_0_20,plain,
( multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) != addition(multiplication(skolemFOFtoCNF_X0,X_156),zero)
| multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) = multiplication(skolemFOFtoCNF_X0,X_156) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X0,X_156),zero),multiplication(skolemFOFtoCNF_X0,X_156)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))) = multiplication(skolemFOFtoCNF_X0,X_156),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(X_156,multiplication(skolemFOFtoCNF_X1,X_37))),addition(multiplication(skolemFOFtoCNF_X0,X_156),zero)) )],[refute_0_16,refute_0_20]) ).
cnf(refute_0_22,plain,
multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157)))) = multiplication(skolemFOFtoCNF_X0,one),
inference(subst,[],[refute_0_21:[bind(X_156,$fot(one)),bind(X_37,$fot(addition(star(skolemFOFtoCNF_X1),X_157)))]]) ).
cnf(refute_0_23,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_24,plain,
addition(one,addition(multiplication(A,star(A)),X_14)) = addition(addition(one,multiplication(A,star(A))),X_14),
inference(subst,[],[refute_0_23:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,star(A)))),bind(C,$fot(X_14))]]) ).
cnf(refute_0_25,plain,
addition(one,multiplication(A,star(A))) = star(A),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_26,plain,
( addition(one,addition(multiplication(A,star(A)),X_14)) != addition(addition(one,multiplication(A,star(A))),X_14)
| addition(one,multiplication(A,star(A))) != star(A)
| addition(one,addition(multiplication(A,star(A)),X_14)) = addition(star(A),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),X_14)),addition(addition(one,multiplication(A,star(A))),X_14)) ),[1,0],$fot(star(A))]]) ).
cnf(refute_0_27,plain,
( addition(one,addition(multiplication(A,star(A)),X_14)) != addition(addition(one,multiplication(A,star(A))),X_14)
| addition(one,addition(multiplication(A,star(A)),X_14)) = addition(star(A),X_14) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),star(A)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
addition(one,addition(multiplication(A,star(A)),X_14)) = addition(star(A),X_14),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),X_14)),addition(addition(one,multiplication(A,star(A))),X_14)) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
addition(one,addition(multiplication(A,star(A)),multiplication(A,X_157))) = addition(star(A),multiplication(A,X_157)),
inference(subst,[],[refute_0_28:[bind(X_14,$fot(multiplication(A,X_157)))]]) ).
cnf(refute_0_30,plain,
multiplication(A,addition(star(A),X_157)) = addition(multiplication(A,star(A)),multiplication(A,X_157)),
inference(subst,[],[refute_0_1:[bind(B,$fot(star(A))),bind(C,$fot(X_157))]]) ).
cnf(refute_0_31,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_32,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_33,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( multiplication(A,addition(star(A),X_157)) != addition(multiplication(A,star(A)),multiplication(A,X_157))
| addition(multiplication(A,star(A)),multiplication(A,X_157)) = multiplication(A,addition(star(A),X_157)) ),
inference(subst,[],[refute_0_33:[bind(X,$fot(multiplication(A,addition(star(A),X_157)))),bind(Y,$fot(addition(multiplication(A,star(A)),multiplication(A,X_157))))]]) ).
cnf(refute_0_35,plain,
addition(multiplication(A,star(A)),multiplication(A,X_157)) = multiplication(A,addition(star(A),X_157)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(star(A),X_157)),addition(multiplication(A,star(A)),multiplication(A,X_157))) )],[refute_0_30,refute_0_34]) ).
cnf(refute_0_36,plain,
( addition(multiplication(A,star(A)),multiplication(A,X_157)) != multiplication(A,addition(star(A),X_157))
| addition(one,addition(multiplication(A,star(A)),multiplication(A,X_157))) != addition(star(A),multiplication(A,X_157))
| addition(one,multiplication(A,addition(star(A),X_157))) = addition(star(A),multiplication(A,X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),multiplication(A,X_157))),addition(star(A),multiplication(A,X_157))) ),[0,1],$fot(multiplication(A,addition(star(A),X_157)))]]) ).
cnf(refute_0_37,plain,
( addition(one,addition(multiplication(A,star(A)),multiplication(A,X_157))) != addition(star(A),multiplication(A,X_157))
| addition(one,multiplication(A,addition(star(A),X_157))) = addition(star(A),multiplication(A,X_157)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,star(A)),multiplication(A,X_157)),multiplication(A,addition(star(A),X_157))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
addition(one,multiplication(A,addition(star(A),X_157))) = addition(star(A),multiplication(A,X_157)),
inference(resolve,[$cnf( $equal(addition(one,addition(multiplication(A,star(A)),multiplication(A,X_157))),addition(star(A),multiplication(A,X_157))) )],[refute_0_29,refute_0_37]) ).
cnf(refute_0_39,plain,
addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157))) = addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157)),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_40,plain,
( addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157))) != addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))
| multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157)))) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) = multiplication(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157)))),multiplication(skolemFOFtoCNF_X0,one)) ),[0,1],$fot(addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157)))]]) ).
cnf(refute_0_41,plain,
( multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157)))) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) = multiplication(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157))),addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) = multiplication(skolemFOFtoCNF_X0,one),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(one,multiplication(skolemFOFtoCNF_X1,addition(star(skolemFOFtoCNF_X1),X_157)))),multiplication(skolemFOFtoCNF_X0,one)) )],[refute_0_22,refute_0_41]) ).
cnf(refute_0_43,plain,
multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) = multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_21:[bind(X_156,$fot(star(skolemFOFtoCNF_X1))),bind(X_37,$fot(X_157))]]) ).
cnf(refute_0_44,plain,
( multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) != multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1))
| multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) = multiplication(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))),multiplication(skolemFOFtoCNF_X0,one)) ),[0],$fot(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_45,plain,
( multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) = multiplication(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))),multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_47,plain,
multiplication(skolemFOFtoCNF_X0,one) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_46:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_48,plain,
( multiplication(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,one)) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_49,plain,
( multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))) != multiplication(skolemFOFtoCNF_X0,one)
| multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,one)) )],[refute_0_45,refute_0_49]) ).
cnf(refute_0_51,plain,
multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,addition(star(skolemFOFtoCNF_X1),multiplication(skolemFOFtoCNF_X1,X_157))),multiplication(skolemFOFtoCNF_X0,one)) )],[refute_0_42,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X0
| ~ leq(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| leq(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ leq(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_53,plain,
( ~ leq(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| leq(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
~ leq(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X0,star(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) )],[refute_0_53,refute_0_0]) ).
cnf(refute_0_55,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_56,plain,
( addition(X_75,X_75) != X_75
| leq(X_75,X_75) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(X_75)),bind(B,$fot(X_75))]]) ).
cnf(refute_0_57,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_58,plain,
addition(X_75,X_75) = X_75,
inference(subst,[],[refute_0_57:[bind(A,$fot(X_75))]]) ).
cnf(refute_0_59,plain,
( X_75 != X_75
| addition(X_75,X_75) != X_75
| addition(X_75,X_75) = X_75 ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_75,X_75),X_75) ),[0,0],$fot(X_75)]]) ).
cnf(refute_0_60,plain,
( X_75 != X_75
| addition(X_75,X_75) = X_75 ),
inference(resolve,[$cnf( $equal(addition(X_75,X_75),X_75) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( X_75 != X_75
| leq(X_75,X_75) ),
inference(resolve,[$cnf( $equal(addition(X_75,X_75),X_75) )],[refute_0_60,refute_0_56]) ).
cnf(refute_0_62,plain,
X_75 = X_75,
introduced(tautology,[refl,[$fot(X_75)]]) ).
cnf(refute_0_63,plain,
leq(X_75,X_75),
inference(resolve,[$cnf( $equal(X_75,X_75) )],[refute_0_62,refute_0_61]) ).
cnf(refute_0_64,plain,
leq(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_63:[bind(X_75,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_65,plain,
$false,
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) )],[refute_0_64,refute_0_54]) ).
fof(negate_1_0,plain,
~ ! [X0,X1] :
( ( multiplication(X0,X1) = zero
=> leq(multiplication(X0,star(X1)),X0) )
=> leq(X0,multiplication(X0,star(X1))) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [X0,X1] :
( ~ leq(X0,multiplication(X0,star(X1)))
& ( multiplication(X0,X1) != zero
| leq(multiplication(X0,star(X1)),X0) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ leq(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,star(skolemFOFtoCNF_X1_1)))
& ( multiplication(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) != zero
| leq(multiplication(skolemFOFtoCNF_X0_1,star(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X0_1) ) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
~ leq(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,star(skolemFOFtoCNF_X1_1))),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_1_4,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_1_8,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[idempotence]) ).
fof(normalize_1_10,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_1_12,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[distributivity1]) ).
fof(normalize_1_14,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_1_16,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
inference(canonicalize,[],[star_unfold1]) ).
fof(normalize_1_18,plain,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
inference(specialize,[],[normalize_1_17]) ).
cnf(refute_1_0,plain,
~ leq(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,star(skolemFOFtoCNF_X1_1))),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
( addition(X_491,addition(X_401,X_491)) != addition(X_401,X_491)
| leq(X_491,addition(X_401,X_491)) ),
inference(subst,[],[refute_1_1:[bind(A,$fot(X_491)),bind(B,$fot(addition(X_401,X_491)))]]) ).
cnf(refute_1_3,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_4,plain,
addition(addition(X_401,X_402),addition(X_401,X_402)) = addition(addition(addition(X_401,X_402),X_401),X_402),
inference(subst,[],[refute_1_3:[bind(A,$fot(addition(X_401,X_402))),bind(B,$fot(X_401)),bind(C,$fot(X_402))]]) ).
cnf(refute_1_5,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_6,plain,
addition(addition(X_401,X_402),addition(X_401,X_402)) = addition(X_401,X_402),
inference(subst,[],[refute_1_5:[bind(A,$fot(addition(X_401,X_402)))]]) ).
cnf(refute_1_7,plain,
( addition(addition(X_401,X_402),addition(X_401,X_402)) != addition(X_401,X_402)
| addition(addition(X_401,X_402),addition(X_401,X_402)) != addition(addition(addition(X_401,X_402),X_401),X_402)
| addition(X_401,X_402) = addition(addition(addition(X_401,X_402),X_401),X_402) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_401,X_402),addition(X_401,X_402)),addition(addition(addition(X_401,X_402),X_401),X_402)) ),[0],$fot(addition(X_401,X_402))]]) ).
cnf(refute_1_8,plain,
( addition(addition(X_401,X_402),addition(X_401,X_402)) != addition(addition(addition(X_401,X_402),X_401),X_402)
| addition(X_401,X_402) = addition(addition(addition(X_401,X_402),X_401),X_402) ),
inference(resolve,[$cnf( $equal(addition(addition(X_401,X_402),addition(X_401,X_402)),addition(X_401,X_402)) )],[refute_1_6,refute_1_7]) ).
cnf(refute_1_9,plain,
addition(X_401,X_402) = addition(addition(addition(X_401,X_402),X_401),X_402),
inference(resolve,[$cnf( $equal(addition(addition(X_401,X_402),addition(X_401,X_402)),addition(addition(addition(X_401,X_402),X_401),X_402)) )],[refute_1_4,refute_1_8]) ).
cnf(refute_1_10,plain,
addition(X_400,addition(X_401,X_402)) = addition(addition(X_400,X_401),X_402),
inference(subst,[],[refute_1_3:[bind(A,$fot(X_400)),bind(B,$fot(X_401)),bind(C,$fot(X_402))]]) ).
cnf(refute_1_11,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_12,plain,
addition(X_402,X_401) = addition(X_401,X_402),
inference(subst,[],[refute_1_11:[bind(A,$fot(X_402)),bind(B,$fot(X_401))]]) ).
cnf(refute_1_13,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_14,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_15,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
( addition(X_402,X_401) != addition(X_401,X_402)
| addition(X_401,X_402) = addition(X_402,X_401) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(addition(X_402,X_401))),bind(Y,$fot(addition(X_401,X_402)))]]) ).
cnf(refute_1_17,plain,
addition(X_401,X_402) = addition(X_402,X_401),
inference(resolve,[$cnf( $equal(addition(X_402,X_401),addition(X_401,X_402)) )],[refute_1_12,refute_1_16]) ).
cnf(refute_1_18,plain,
( addition(X_400,addition(X_401,X_402)) != addition(addition(X_400,X_401),X_402)
| addition(X_401,X_402) != addition(X_402,X_401)
| addition(X_400,addition(X_402,X_401)) = addition(addition(X_400,X_401),X_402) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_400,addition(X_401,X_402)),addition(addition(X_400,X_401),X_402)) ),[0,1],$fot(addition(X_402,X_401))]]) ).
cnf(refute_1_19,plain,
( addition(X_400,addition(X_401,X_402)) != addition(addition(X_400,X_401),X_402)
| addition(X_400,addition(X_402,X_401)) = addition(addition(X_400,X_401),X_402) ),
inference(resolve,[$cnf( $equal(addition(X_401,X_402),addition(X_402,X_401)) )],[refute_1_17,refute_1_18]) ).
cnf(refute_1_20,plain,
addition(X_400,addition(X_402,X_401)) = addition(addition(X_400,X_401),X_402),
inference(resolve,[$cnf( $equal(addition(X_400,addition(X_401,X_402)),addition(addition(X_400,X_401),X_402)) )],[refute_1_10,refute_1_19]) ).
cnf(refute_1_21,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_1_22,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_1_3,refute_1_21]) ).
cnf(refute_1_23,plain,
addition(addition(X_400,X_401),X_402) = addition(X_400,addition(X_401,X_402)),
inference(subst,[],[refute_1_22:[bind(A,$fot(X_400)),bind(B,$fot(X_401)),bind(C,$fot(X_402))]]) ).
cnf(refute_1_24,plain,
( addition(X_400,addition(X_402,X_401)) != addition(addition(X_400,X_401),X_402)
| addition(addition(X_400,X_401),X_402) != addition(X_400,addition(X_401,X_402))
| addition(X_400,addition(X_402,X_401)) = addition(X_400,addition(X_401,X_402)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_400,addition(X_402,X_401)),addition(X_400,addition(X_401,X_402))) ),[0],$fot(addition(addition(X_400,X_401),X_402))]]) ).
cnf(refute_1_25,plain,
( addition(X_400,addition(X_402,X_401)) != addition(addition(X_400,X_401),X_402)
| addition(X_400,addition(X_402,X_401)) = addition(X_400,addition(X_401,X_402)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_400,X_401),X_402),addition(X_400,addition(X_401,X_402))) )],[refute_1_23,refute_1_24]) ).
cnf(refute_1_26,plain,
addition(X_400,addition(X_402,X_401)) = addition(X_400,addition(X_401,X_402)),
inference(resolve,[$cnf( $equal(addition(X_400,addition(X_402,X_401)),addition(addition(X_400,X_401),X_402)) )],[refute_1_20,refute_1_25]) ).
cnf(refute_1_27,plain,
( addition(X_400,addition(X_402,X_401)) != addition(X_400,addition(X_401,X_402))
| addition(X_400,addition(X_401,X_402)) = addition(X_400,addition(X_402,X_401)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(addition(X_400,addition(X_402,X_401)))),bind(Y,$fot(addition(X_400,addition(X_401,X_402))))]]) ).
cnf(refute_1_28,plain,
addition(X_400,addition(X_401,X_402)) = addition(X_400,addition(X_402,X_401)),
inference(resolve,[$cnf( $equal(addition(X_400,addition(X_402,X_401)),addition(X_400,addition(X_401,X_402))) )],[refute_1_26,refute_1_27]) ).
cnf(refute_1_29,plain,
addition(X_402,addition(addition(X_401,X_402),X_401)) = addition(X_402,addition(X_401,addition(X_401,X_402))),
inference(subst,[],[refute_1_28:[bind(X_400,$fot(X_402)),bind(X_401,$fot(addition(X_401,X_402))),bind(X_402,$fot(X_401))]]) ).
cnf(refute_1_30,plain,
addition(A,addition(X_400,X_401)) = addition(addition(X_400,X_401),A),
inference(subst,[],[refute_1_11:[bind(B,$fot(addition(X_400,X_401)))]]) ).
cnf(refute_1_31,plain,
addition(X_400,addition(X_401,A)) = addition(addition(X_400,X_401),A),
inference(subst,[],[refute_1_3:[bind(A,$fot(X_400)),bind(B,$fot(X_401)),bind(C,$fot(A))]]) ).
cnf(refute_1_32,plain,
( addition(X_400,addition(X_401,A)) != addition(addition(X_400,X_401),A)
| addition(addition(X_400,X_401),A) = addition(X_400,addition(X_401,A)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(addition(X_400,addition(X_401,A)))),bind(Y,$fot(addition(addition(X_400,X_401),A)))]]) ).
cnf(refute_1_33,plain,
addition(addition(X_400,X_401),A) = addition(X_400,addition(X_401,A)),
inference(resolve,[$cnf( $equal(addition(X_400,addition(X_401,A)),addition(addition(X_400,X_401),A)) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( addition(A,addition(X_400,X_401)) != addition(addition(X_400,X_401),A)
| addition(addition(X_400,X_401),A) != addition(X_400,addition(X_401,A))
| addition(A,addition(X_400,X_401)) = addition(X_400,addition(X_401,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_400,X_401)),addition(X_400,addition(X_401,A))) ),[0],$fot(addition(addition(X_400,X_401),A))]]) ).
cnf(refute_1_35,plain,
( addition(A,addition(X_400,X_401)) != addition(addition(X_400,X_401),A)
| addition(A,addition(X_400,X_401)) = addition(X_400,addition(X_401,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_400,X_401),A),addition(X_400,addition(X_401,A))) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
addition(A,addition(X_400,X_401)) = addition(X_400,addition(X_401,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_400,X_401)),addition(addition(X_400,X_401),A)) )],[refute_1_30,refute_1_35]) ).
cnf(refute_1_37,plain,
( addition(A,addition(X_400,X_401)) != addition(X_400,addition(X_401,A))
| addition(X_400,addition(X_401,A)) = addition(A,addition(X_400,X_401)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(addition(A,addition(X_400,X_401)))),bind(Y,$fot(addition(X_400,addition(X_401,A))))]]) ).
cnf(refute_1_38,plain,
addition(X_400,addition(X_401,A)) = addition(A,addition(X_400,X_401)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_400,X_401)),addition(X_400,addition(X_401,A))) )],[refute_1_36,refute_1_37]) ).
cnf(refute_1_39,plain,
addition(addition(X_401,X_402),addition(X_401,X_402)) = addition(X_402,addition(addition(X_401,X_402),X_401)),
inference(subst,[],[refute_1_38:[bind(A,$fot(X_402)),bind(X_400,$fot(addition(X_401,X_402)))]]) ).
cnf(refute_1_40,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_41,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_15,refute_1_40]) ).
cnf(refute_1_42,plain,
( addition(X_402,addition(addition(X_401,X_402),X_401)) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(addition(X_401,X_402),addition(X_401,X_402)) != addition(X_402,addition(addition(X_401,X_402),X_401))
| addition(addition(X_401,X_402),addition(X_401,X_402)) = addition(X_402,addition(X_401,addition(X_401,X_402))) ),
inference(subst,[],[refute_1_41:[bind(X,$fot(addition(addition(X_401,X_402),addition(X_401,X_402)))),bind(Y,$fot(addition(X_402,addition(addition(X_401,X_402),X_401)))),bind(Z,$fot(addition(X_402,addition(X_401,addition(X_401,X_402)))))]]) ).
cnf(refute_1_43,plain,
( addition(X_402,addition(addition(X_401,X_402),X_401)) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(addition(X_401,X_402),addition(X_401,X_402)) = addition(X_402,addition(X_401,addition(X_401,X_402))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_401,X_402),addition(X_401,X_402)),addition(X_402,addition(addition(X_401,X_402),X_401))) )],[refute_1_39,refute_1_42]) ).
cnf(refute_1_44,plain,
addition(addition(X_401,X_402),addition(X_401,X_402)) = addition(X_402,addition(X_401,addition(X_401,X_402))),
inference(resolve,[$cnf( $equal(addition(X_402,addition(addition(X_401,X_402),X_401)),addition(X_402,addition(X_401,addition(X_401,X_402)))) )],[refute_1_29,refute_1_43]) ).
cnf(refute_1_45,plain,
addition(addition(addition(X_401,X_402),X_401),X_402) = addition(addition(X_401,X_402),addition(X_401,X_402)),
inference(subst,[],[refute_1_22:[bind(A,$fot(addition(X_401,X_402))),bind(B,$fot(X_401)),bind(C,$fot(X_402))]]) ).
cnf(refute_1_46,plain,
( addition(addition(X_401,X_402),addition(X_401,X_402)) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(addition(addition(X_401,X_402),X_401),X_402) != addition(addition(X_401,X_402),addition(X_401,X_402))
| addition(addition(addition(X_401,X_402),X_401),X_402) = addition(X_402,addition(X_401,addition(X_401,X_402))) ),
inference(subst,[],[refute_1_41:[bind(X,$fot(addition(addition(addition(X_401,X_402),X_401),X_402))),bind(Y,$fot(addition(addition(X_401,X_402),addition(X_401,X_402)))),bind(Z,$fot(addition(X_402,addition(X_401,addition(X_401,X_402)))))]]) ).
cnf(refute_1_47,plain,
( addition(addition(X_401,X_402),addition(X_401,X_402)) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(addition(addition(X_401,X_402),X_401),X_402) = addition(X_402,addition(X_401,addition(X_401,X_402))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_401,X_402),X_401),X_402),addition(addition(X_401,X_402),addition(X_401,X_402))) )],[refute_1_45,refute_1_46]) ).
cnf(refute_1_48,plain,
addition(addition(addition(X_401,X_402),X_401),X_402) = addition(X_402,addition(X_401,addition(X_401,X_402))),
inference(resolve,[$cnf( $equal(addition(addition(X_401,X_402),addition(X_401,X_402)),addition(X_402,addition(X_401,addition(X_401,X_402)))) )],[refute_1_44,refute_1_47]) ).
cnf(refute_1_49,plain,
( addition(X_401,X_402) != addition(addition(addition(X_401,X_402),X_401),X_402)
| addition(addition(addition(X_401,X_402),X_401),X_402) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(X_401,X_402) = addition(X_402,addition(X_401,addition(X_401,X_402))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_401,X_402),addition(X_402,addition(X_401,addition(X_401,X_402)))) ),[0],$fot(addition(addition(addition(X_401,X_402),X_401),X_402))]]) ).
cnf(refute_1_50,plain,
( addition(X_401,X_402) != addition(addition(addition(X_401,X_402),X_401),X_402)
| addition(X_401,X_402) = addition(X_402,addition(X_401,addition(X_401,X_402))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_401,X_402),X_401),X_402),addition(X_402,addition(X_401,addition(X_401,X_402)))) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
addition(X_401,X_402) = addition(X_402,addition(X_401,addition(X_401,X_402))),
inference(resolve,[$cnf( $equal(addition(X_401,X_402),addition(addition(addition(X_401,X_402),X_401),X_402)) )],[refute_1_9,refute_1_50]) ).
cnf(refute_1_52,plain,
addition(X_401,addition(X_401,X_402)) = addition(addition(X_401,X_401),X_402),
inference(subst,[],[refute_1_3:[bind(A,$fot(X_401)),bind(B,$fot(X_401)),bind(C,$fot(X_402))]]) ).
cnf(refute_1_53,plain,
addition(X_401,X_401) = X_401,
inference(subst,[],[refute_1_5:[bind(A,$fot(X_401))]]) ).
cnf(refute_1_54,plain,
( addition(X_401,X_401) != X_401
| addition(X_401,addition(X_401,X_402)) != addition(addition(X_401,X_401),X_402)
| addition(X_401,addition(X_401,X_402)) = addition(X_401,X_402) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_401,addition(X_401,X_402)),addition(addition(X_401,X_401),X_402)) ),[1,0],$fot(X_401)]]) ).
cnf(refute_1_55,plain,
( addition(X_401,addition(X_401,X_402)) != addition(addition(X_401,X_401),X_402)
| addition(X_401,addition(X_401,X_402)) = addition(X_401,X_402) ),
inference(resolve,[$cnf( $equal(addition(X_401,X_401),X_401) )],[refute_1_53,refute_1_54]) ).
cnf(refute_1_56,plain,
addition(X_401,addition(X_401,X_402)) = addition(X_401,X_402),
inference(resolve,[$cnf( $equal(addition(X_401,addition(X_401,X_402)),addition(addition(X_401,X_401),X_402)) )],[refute_1_52,refute_1_55]) ).
cnf(refute_1_57,plain,
addition(X_402,addition(X_401,addition(X_401,X_402))) = addition(X_402,addition(X_401,addition(X_401,X_402))),
introduced(tautology,[refl,[$fot(addition(X_402,addition(X_401,addition(X_401,X_402))))]]) ).
cnf(refute_1_58,plain,
( addition(X_401,addition(X_401,X_402)) != addition(X_401,X_402)
| addition(X_402,addition(X_401,addition(X_401,X_402))) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(X_402,addition(X_401,addition(X_401,X_402))) = addition(X_402,addition(X_401,X_402)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_402,addition(X_401,addition(X_401,X_402))),addition(X_402,addition(X_401,addition(X_401,X_402)))) ),[1,1],$fot(addition(X_401,X_402))]]) ).
cnf(refute_1_59,plain,
( addition(X_401,addition(X_401,X_402)) != addition(X_401,X_402)
| addition(X_402,addition(X_401,addition(X_401,X_402))) = addition(X_402,addition(X_401,X_402)) ),
inference(resolve,[$cnf( $equal(addition(X_402,addition(X_401,addition(X_401,X_402))),addition(X_402,addition(X_401,addition(X_401,X_402)))) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
addition(X_402,addition(X_401,addition(X_401,X_402))) = addition(X_402,addition(X_401,X_402)),
inference(resolve,[$cnf( $equal(addition(X_401,addition(X_401,X_402)),addition(X_401,X_402)) )],[refute_1_56,refute_1_59]) ).
cnf(refute_1_61,plain,
( addition(X_401,X_402) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(X_402,addition(X_401,addition(X_401,X_402))) != addition(X_402,addition(X_401,X_402))
| addition(X_401,X_402) = addition(X_402,addition(X_401,X_402)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_401,X_402),addition(X_402,addition(X_401,X_402))) ),[0],$fot(addition(X_402,addition(X_401,addition(X_401,X_402))))]]) ).
cnf(refute_1_62,plain,
( addition(X_401,X_402) != addition(X_402,addition(X_401,addition(X_401,X_402)))
| addition(X_401,X_402) = addition(X_402,addition(X_401,X_402)) ),
inference(resolve,[$cnf( $equal(addition(X_402,addition(X_401,addition(X_401,X_402))),addition(X_402,addition(X_401,X_402))) )],[refute_1_60,refute_1_61]) ).
cnf(refute_1_63,plain,
addition(X_401,X_402) = addition(X_402,addition(X_401,X_402)),
inference(resolve,[$cnf( $equal(addition(X_401,X_402),addition(X_402,addition(X_401,addition(X_401,X_402)))) )],[refute_1_51,refute_1_62]) ).
cnf(refute_1_64,plain,
addition(X_401,X_491) = addition(X_491,addition(X_401,X_491)),
inference(subst,[],[refute_1_63:[bind(X_402,$fot(X_491))]]) ).
cnf(refute_1_65,plain,
( addition(X_401,X_491) != addition(X_491,addition(X_401,X_491))
| addition(X_491,addition(X_401,X_491)) = addition(X_401,X_491) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(addition(X_401,X_491))),bind(Y,$fot(addition(X_491,addition(X_401,X_491))))]]) ).
cnf(refute_1_66,plain,
addition(X_491,addition(X_401,X_491)) = addition(X_401,X_491),
inference(resolve,[$cnf( $equal(addition(X_401,X_491),addition(X_491,addition(X_401,X_491))) )],[refute_1_64,refute_1_65]) ).
cnf(refute_1_67,plain,
( addition(X_401,X_491) != addition(X_401,X_491)
| addition(X_491,addition(X_401,X_491)) != addition(X_401,X_491)
| addition(X_491,addition(X_401,X_491)) = addition(X_401,X_491) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_491,addition(X_401,X_491)),addition(X_401,X_491)) ),[0,1],$fot(addition(X_401,X_491))]]) ).
cnf(refute_1_68,plain,
( addition(X_401,X_491) != addition(X_401,X_491)
| addition(X_491,addition(X_401,X_491)) = addition(X_401,X_491) ),
inference(resolve,[$cnf( $equal(addition(X_491,addition(X_401,X_491)),addition(X_401,X_491)) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
( addition(X_401,X_491) != addition(X_401,X_491)
| leq(X_491,addition(X_401,X_491)) ),
inference(resolve,[$cnf( $equal(addition(X_491,addition(X_401,X_491)),addition(X_401,X_491)) )],[refute_1_68,refute_1_2]) ).
cnf(refute_1_70,plain,
addition(X_401,X_491) = addition(X_401,X_491),
introduced(tautology,[refl,[$fot(addition(X_401,X_491))]]) ).
cnf(refute_1_71,plain,
leq(X_491,addition(X_401,X_491)),
inference(resolve,[$cnf( $equal(addition(X_401,X_491),addition(X_401,X_491)) )],[refute_1_70,refute_1_69]) ).
cnf(refute_1_72,plain,
leq(X_506,addition(X_505,X_506)),
inference(subst,[],[refute_1_71:[bind(X_401,$fot(X_505)),bind(X_491,$fot(X_506))]]) ).
cnf(refute_1_73,plain,
addition(X_506,X_505) = addition(X_505,X_506),
inference(subst,[],[refute_1_11:[bind(A,$fot(X_506)),bind(B,$fot(X_505))]]) ).
cnf(refute_1_74,plain,
( addition(X_506,X_505) != addition(X_505,X_506)
| addition(X_505,X_506) = addition(X_506,X_505) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(addition(X_506,X_505))),bind(Y,$fot(addition(X_505,X_506)))]]) ).
cnf(refute_1_75,plain,
addition(X_505,X_506) = addition(X_506,X_505),
inference(resolve,[$cnf( $equal(addition(X_506,X_505),addition(X_505,X_506)) )],[refute_1_73,refute_1_74]) ).
cnf(refute_1_76,plain,
( addition(X_505,X_506) != addition(X_506,X_505)
| ~ leq(X_506,addition(X_505,X_506))
| leq(X_506,addition(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( leq(X_506,addition(X_505,X_506)) ),[1],$fot(addition(X_506,X_505))]]) ).
cnf(refute_1_77,plain,
( ~ leq(X_506,addition(X_505,X_506))
| leq(X_506,addition(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(addition(X_505,X_506),addition(X_506,X_505)) )],[refute_1_75,refute_1_76]) ).
cnf(refute_1_78,plain,
leq(X_506,addition(X_506,X_505)),
inference(resolve,[$cnf( leq(X_506,addition(X_505,X_506)) )],[refute_1_72,refute_1_77]) ).
cnf(refute_1_79,plain,
leq(X_506,addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615))))),
inference(subst,[],[refute_1_78:[bind(X_505,$fot(multiplication(X_506,multiplication(X_615,star(X_615)))))]]) ).
cnf(refute_1_80,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_81,plain,
multiplication(X_411,addition(one,X_413)) = addition(multiplication(X_411,one),multiplication(X_411,X_413)),
inference(subst,[],[refute_1_80:[bind(A,$fot(X_411)),bind(B,$fot(one)),bind(C,$fot(X_413))]]) ).
cnf(refute_1_82,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_83,plain,
multiplication(X_411,one) = X_411,
inference(subst,[],[refute_1_82:[bind(A,$fot(X_411))]]) ).
cnf(refute_1_84,plain,
( multiplication(X_411,addition(one,X_413)) != addition(multiplication(X_411,one),multiplication(X_411,X_413))
| multiplication(X_411,one) != X_411
| multiplication(X_411,addition(one,X_413)) = addition(X_411,multiplication(X_411,X_413)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_411,addition(one,X_413)),addition(multiplication(X_411,one),multiplication(X_411,X_413))) ),[1,0],$fot(X_411)]]) ).
cnf(refute_1_85,plain,
( multiplication(X_411,addition(one,X_413)) != addition(multiplication(X_411,one),multiplication(X_411,X_413))
| multiplication(X_411,addition(one,X_413)) = addition(X_411,multiplication(X_411,X_413)) ),
inference(resolve,[$cnf( $equal(multiplication(X_411,one),X_411) )],[refute_1_83,refute_1_84]) ).
cnf(refute_1_86,plain,
multiplication(X_411,addition(one,X_413)) = addition(X_411,multiplication(X_411,X_413)),
inference(resolve,[$cnf( $equal(multiplication(X_411,addition(one,X_413)),addition(multiplication(X_411,one),multiplication(X_411,X_413))) )],[refute_1_81,refute_1_85]) ).
cnf(refute_1_87,plain,
multiplication(X_421,addition(one,multiplication(A,star(A)))) = addition(X_421,multiplication(X_421,multiplication(A,star(A)))),
inference(subst,[],[refute_1_86:[bind(X_411,$fot(X_421)),bind(X_413,$fot(multiplication(A,star(A))))]]) ).
cnf(refute_1_88,plain,
addition(one,multiplication(A,star(A))) = star(A),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_89,plain,
( addition(one,multiplication(A,star(A))) != star(A)
| multiplication(X_421,addition(one,multiplication(A,star(A)))) != addition(X_421,multiplication(X_421,multiplication(A,star(A))))
| multiplication(X_421,star(A)) = addition(X_421,multiplication(X_421,multiplication(A,star(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_421,addition(one,multiplication(A,star(A)))),addition(X_421,multiplication(X_421,multiplication(A,star(A))))) ),[0,1],$fot(star(A))]]) ).
cnf(refute_1_90,plain,
( multiplication(X_421,addition(one,multiplication(A,star(A)))) != addition(X_421,multiplication(X_421,multiplication(A,star(A))))
| multiplication(X_421,star(A)) = addition(X_421,multiplication(X_421,multiplication(A,star(A)))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(A,star(A))),star(A)) )],[refute_1_88,refute_1_89]) ).
cnf(refute_1_91,plain,
multiplication(X_421,star(A)) = addition(X_421,multiplication(X_421,multiplication(A,star(A)))),
inference(resolve,[$cnf( $equal(multiplication(X_421,addition(one,multiplication(A,star(A)))),addition(X_421,multiplication(X_421,multiplication(A,star(A))))) )],[refute_1_87,refute_1_90]) ).
cnf(refute_1_92,plain,
multiplication(X_506,star(X_615)) = addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615)))),
inference(subst,[],[refute_1_91:[bind(A,$fot(X_615)),bind(X_421,$fot(X_506))]]) ).
cnf(refute_1_93,plain,
( multiplication(X_506,star(X_615)) != addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615))))
| addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615)))) = multiplication(X_506,star(X_615)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(multiplication(X_506,star(X_615)))),bind(Y,$fot(addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615))))))]]) ).
cnf(refute_1_94,plain,
addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615)))) = multiplication(X_506,star(X_615)),
inference(resolve,[$cnf( $equal(multiplication(X_506,star(X_615)),addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615))))) )],[refute_1_92,refute_1_93]) ).
cnf(refute_1_95,plain,
( addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615)))) != multiplication(X_506,star(X_615))
| ~ leq(X_506,addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615)))))
| leq(X_506,multiplication(X_506,star(X_615))) ),
introduced(tautology,[equality,[$cnf( leq(X_506,addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615))))) ),[1],$fot(multiplication(X_506,star(X_615)))]]) ).
cnf(refute_1_96,plain,
( ~ leq(X_506,addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615)))))
| leq(X_506,multiplication(X_506,star(X_615))) ),
inference(resolve,[$cnf( $equal(addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615)))),multiplication(X_506,star(X_615))) )],[refute_1_94,refute_1_95]) ).
cnf(refute_1_97,plain,
leq(X_506,multiplication(X_506,star(X_615))),
inference(resolve,[$cnf( leq(X_506,addition(X_506,multiplication(X_506,multiplication(X_615,star(X_615))))) )],[refute_1_79,refute_1_96]) ).
cnf(refute_1_98,plain,
leq(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,star(skolemFOFtoCNF_X1_1))),
inference(subst,[],[refute_1_97:[bind(X_506,$fot(skolemFOFtoCNF_X0_1)),bind(X_615,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_1_99,plain,
$false,
inference(resolve,[$cnf( leq(skolemFOFtoCNF_X0_1,multiplication(skolemFOFtoCNF_X0_1,star(skolemFOFtoCNF_X1_1))) )],[refute_1_98,refute_1_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE167+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 14:51:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.85/7.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.85/7.01
% 6.85/7.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.87/7.03
%------------------------------------------------------------------------------