TSTP Solution File: PUZ133+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ133+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : Mon Jul 18 18:21:02 EDT 2022
% Result : Theorem 24.96s 25.17s
% Output : CNFRefutation 25.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 85
% Syntax : Number of formulae : 470 ( 120 unt; 0 def)
% Number of atoms : 1153 ( 780 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 1270 ( 587 ~; 625 |; 40 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 572 ( 0 sgn 91 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(queens_p,axiom,
( queens_p
=> ! [I,J] :
( ( le(s(n0),I)
& le(I,n)
& le(s(I),J)
& le(J,n) )
=> ( p(I) != p(J)
& plus(p(I),I) != plus(p(J),J)
& minus(p(I),I) != minus(p(J),J) ) ) ) ).
fof(permutation,axiom,
! [I] :
( ( le(s(n0),I)
& le(I,n) )
=> perm(I) = minus(s(n),I) ) ).
fof(queens_q,axiom,
( ! [I,J] :
( ( le(s(n0),I)
& le(I,n)
& le(s(I),J)
& le(J,n)
& ( le(s(I),J)
<=> le(s(perm(J)),perm(I)) ) )
=> ( q(I) != q(J)
& plus(q(I),I) != plus(q(J),J)
& minus(q(I),I) != minus(q(J),J) ) )
=> queens_q ) ).
fof(queens_sym,conjecture,
( ( queens_p
& ! [I] : q(I) = p(perm(I)) )
=> queens_q ) ).
fof(permutation_range,axiom,
! [I] :
( ( le(s(n0),I)
& le(I,n) )
=> ( le(s(n0),perm(I))
& le(perm(I),n) ) ) ).
fof(permutation_another_one,axiom,
! [J,I] : minus(I,J) = minus(perm(J),perm(I)) ).
fof(le_trans,axiom,
! [X,Y,Z] :
( ( le(X,Y)
& le(Y,Z) )
=> le(X,Z) ) ).
fof(succ_le,axiom,
! [X] : le(X,s(X)) ).
fof(plus1,axiom,
! [I,J,K,L] :
( plus(I,J) = plus(K,L)
<=> minus(I,K) = minus(L,J) ) ).
fof(minus1,axiom,
! [I,J,K,L] :
( minus(I,J) = minus(K,L)
<=> minus(I,K) = minus(J,L) ) ).
fof(subgoal_0,plain,
( ( queens_p
& ! [I] : q(I) = p(perm(I)) )
=> queens_q ),
inference(strip,[],[queens_sym]) ).
fof(negate_0_0,plain,
~ ( ( queens_p
& ! [I] : q(I) = p(perm(I)) )
=> queens_q ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( queens_q
| ? [I,J] :
( le(I,n)
& le(J,n)
& le(s(I),J)
& le(s(n0),I)
& ( minus(q(I),I) = minus(q(J),J)
| plus(q(I),I) = plus(q(J),J)
| q(I) = q(J) )
& ( ~ le(s(I),J)
<=> ~ le(s(perm(J)),perm(I)) ) ) ),
inference(canonicalize,[],[queens_q]) ).
fof(normalize_0_1,plain,
( ( le(s(n0),skolemFOFtoCNF_I)
| queens_q )
& ( le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| queens_q )
& ( le(skolemFOFtoCNF_I,n)
| queens_q )
& ( le(skolemFOFtoCNF_J,n)
| queens_q )
& ( ~ le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I))
| le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| queens_q )
& ( ~ le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I))
| queens_q )
& ( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J)
| queens_q ) ),
inference(clausify,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I))
| queens_q ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| queens_q ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
( ~ queens_q
& queens_p
& ! [I] : q(I) = p(perm(I)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
~ queens_q,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
( ~ queens_p
| ! [I,J] :
( ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ( minus(p(I),I) != minus(p(J),J)
& p(I) != p(J)
& plus(p(I),I) != plus(p(J),J) ) ) ),
inference(canonicalize,[],[queens_p]) ).
fof(normalize_0_7,plain,
! [I,J] :
( ( minus(p(I),I) != minus(p(J),J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p )
& ( p(I) != p(J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p )
& ( plus(p(I),I) != plus(p(J),J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [I,J] :
( plus(p(I),I) != plus(p(J),J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [I,J,K,L] :
( minus(I,K) != minus(L,J)
<=> plus(I,J) != plus(K,L) ),
inference(canonicalize,[],[plus1]) ).
fof(normalize_0_10,plain,
! [I,J,K,L] :
( minus(I,K) != minus(L,J)
<=> plus(I,J) != plus(K,L) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [I,J,K,L] :
( ( minus(I,K) != minus(L,J)
| plus(I,J) = plus(K,L) )
& ( plus(I,J) != plus(K,L)
| minus(I,K) = minus(L,J) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [I,J,K,L] :
( minus(I,K) != minus(L,J)
| plus(I,J) = plus(K,L) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
queens_p,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_14,plain,
! [I] : q(I) = p(perm(I)),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_15,plain,
! [I] : q(I) = p(perm(I)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [I] :
( ~ le(I,n)
| ~ le(s(n0),I)
| ( le(perm(I),n)
& le(s(n0),perm(I)) ) ),
inference(canonicalize,[],[permutation_range]) ).
fof(normalize_0_17,plain,
! [I] :
( ~ le(I,n)
| ~ le(s(n0),I)
| ( le(perm(I),n)
& le(s(n0),perm(I)) ) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [I] :
( ( ~ le(I,n)
| ~ le(s(n0),I)
| le(perm(I),n) )
& ( ~ le(I,n)
| ~ le(s(n0),I)
| le(s(n0),perm(I)) ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [I] :
( ~ le(I,n)
| ~ le(s(n0),I)
| le(s(n0),perm(I)) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
( le(s(n0),skolemFOFtoCNF_I)
| queens_q ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_21,plain,
( le(skolemFOFtoCNF_I,n)
| queens_q ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_22,plain,
! [I] :
( ~ le(I,n)
| ~ le(s(n0),I)
| le(perm(I),n) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_23,plain,
! [I] :
( ~ le(I,n)
| ~ le(s(n0),I)
| perm(I) = minus(s(n),I) ),
inference(canonicalize,[],[permutation]) ).
fof(normalize_0_24,plain,
! [I] :
( ~ le(I,n)
| ~ le(s(n0),I)
| perm(I) = minus(s(n),I) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [I,J] : minus(I,J) = minus(perm(J),perm(I)),
inference(canonicalize,[],[permutation_another_one]) ).
fof(normalize_0_26,plain,
! [I,J] : minus(I,J) = minus(perm(J),perm(I)),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [I,J,K,L] :
( minus(I,J) != minus(K,L)
<=> minus(I,K) != minus(J,L) ),
inference(canonicalize,[],[minus1]) ).
fof(normalize_0_28,plain,
! [I,J,K,L] :
( minus(I,J) != minus(K,L)
<=> minus(I,K) != minus(J,L) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [I,J,K,L] :
( ( minus(I,J) != minus(K,L)
| minus(I,K) = minus(J,L) )
& ( minus(I,K) != minus(J,L)
| minus(I,J) = minus(K,L) ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [I,J,K,L] :
( minus(I,J) != minus(K,L)
| minus(I,K) = minus(J,L) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [I,J] :
( minus(p(I),I) != minus(p(J),J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_32,plain,
! [X] : le(X,s(X)),
inference(canonicalize,[],[succ_le]) ).
fof(normalize_0_33,plain,
! [X] : le(X,s(X)),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [X,Y,Z] :
( ~ le(X,Y)
| ~ le(Y,Z)
| le(X,Z) ),
inference(canonicalize,[],[le_trans]) ).
fof(normalize_0_35,plain,
! [X,Y,Z] :
( ~ le(X,Y)
| ~ le(Y,Z)
| le(X,Z) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
( le(skolemFOFtoCNF_J,n)
| queens_q ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_37,plain,
! [I,J,K,L] :
( plus(I,J) != plus(K,L)
| minus(I,K) = minus(L,J) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_38,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J)
| queens_q ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_39,plain,
! [I,J] :
( p(I) != p(J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
( ~ le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I))
| queens_q ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| queens_q ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
~ queens_q,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J),
inference(resolve,[$cnf( queens_q )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I))
| queens_q ),
inference(resolve,[$cnf( le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J) )],[refute_0_3,refute_0_0]) ).
cnf(refute_0_5,plain,
le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( queens_q )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
( plus(p(I),I) != plus(p(J),J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( minus(I,K) != minus(L,J)
| plus(I,J) = plus(K,L) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_8,plain,
( minus(L,J) != minus(L,J)
| plus(L,J) = plus(J,L) ),
inference(subst,[],[refute_0_7:[bind(I,$fot(L)),bind(K,$fot(J))]]) ).
cnf(refute_0_9,plain,
minus(L,J) = minus(L,J),
introduced(tautology,[refl,[$fot(minus(L,J))]]) ).
cnf(refute_0_10,plain,
plus(L,J) = plus(J,L),
inference(resolve,[$cnf( $equal(minus(L,J),minus(L,J)) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_12,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_13,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( plus(L,J) != plus(J,L)
| plus(J,L) = plus(L,J) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(plus(L,J))),bind(Y0,$fot(plus(J,L)))]]) ).
cnf(refute_0_15,plain,
plus(J,L) = plus(L,J),
inference(resolve,[$cnf( $equal(plus(L,J),plus(J,L)) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
plus(p(I),I) = plus(I,p(I)),
inference(subst,[],[refute_0_15:[bind(J,$fot(p(I))),bind(L,$fot(I))]]) ).
cnf(refute_0_17,plain,
( plus(I,p(I)) != plus(p(J),J)
| plus(p(I),I) != plus(I,p(I))
| plus(p(I),I) = plus(p(J),J) ),
introduced(tautology,[equality,[$cnf( $equal(plus(p(I),I),plus(I,p(I))) ),[1],$fot(plus(p(J),J))]]) ).
cnf(refute_0_18,plain,
( plus(I,p(I)) != plus(p(J),J)
| plus(p(I),I) = plus(p(J),J) ),
inference(resolve,[$cnf( $equal(plus(p(I),I),plus(I,p(I))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
plus(p(J),J) = plus(J,p(J)),
inference(subst,[],[refute_0_15:[bind(J,$fot(p(J))),bind(L,$fot(J))]]) ).
cnf(refute_0_20,plain,
( plus(I,p(I)) != plus(J,p(J))
| plus(p(J),J) != plus(J,p(J))
| plus(I,p(I)) = plus(p(J),J) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(I,p(I)),plus(p(J),J)) ),[1],$fot(plus(J,p(J)))]]) ).
cnf(refute_0_21,plain,
( plus(I,p(I)) != plus(J,p(J))
| plus(I,p(I)) = plus(p(J),J) ),
inference(resolve,[$cnf( $equal(plus(p(J),J),plus(J,p(J))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( plus(I,p(I)) != plus(J,p(J))
| plus(p(I),I) = plus(p(J),J) ),
inference(resolve,[$cnf( $equal(plus(I,p(I)),plus(p(J),J)) )],[refute_0_21,refute_0_18]) ).
cnf(refute_0_23,plain,
( plus(I,p(I)) != plus(J,p(J))
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ),
inference(resolve,[$cnf( $equal(plus(p(I),I),plus(p(J),J)) )],[refute_0_22,refute_0_6]) ).
cnf(refute_0_24,plain,
queens_p,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_25,plain,
( plus(I,p(I)) != plus(J,p(J))
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I) ),
inference(resolve,[$cnf( queens_p )],[refute_0_24,refute_0_23]) ).
cnf(refute_0_26,plain,
( plus(X_1968,p(X_1968)) != plus(perm(I),p(perm(I)))
| ~ le(X_1968,n)
| ~ le(perm(I),n)
| ~ le(s(X_1968),perm(I))
| ~ le(s(n0),X_1968) ),
inference(subst,[],[refute_0_25:[bind(I,$fot(X_1968)),bind(J,$fot(perm(I)))]]) ).
cnf(refute_0_27,plain,
q(I) = p(perm(I)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_28,plain,
( q(I) != p(perm(I))
| p(perm(I)) = q(I) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(q(I))),bind(Y0,$fot(p(perm(I))))]]) ).
cnf(refute_0_29,plain,
p(perm(I)) = q(I),
inference(resolve,[$cnf( $equal(q(I),p(perm(I))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( p(perm(I)) != q(I)
| plus(X_1968,p(X_1968)) != plus(perm(I),q(I))
| plus(X_1968,p(X_1968)) = plus(perm(I),p(perm(I))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(X_1968,p(X_1968)),plus(perm(I),p(perm(I)))) ),[1,1],$fot(q(I))]]) ).
cnf(refute_0_31,plain,
( plus(X_1968,p(X_1968)) != plus(perm(I),q(I))
| plus(X_1968,p(X_1968)) = plus(perm(I),p(perm(I))) ),
inference(resolve,[$cnf( $equal(p(perm(I)),q(I)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( plus(X_1968,p(X_1968)) != plus(perm(I),q(I))
| ~ le(X_1968,n)
| ~ le(perm(I),n)
| ~ le(s(X_1968),perm(I))
| ~ le(s(n0),X_1968) ),
inference(resolve,[$cnf( $equal(plus(X_1968,p(X_1968)),plus(perm(I),p(perm(I)))) )],[refute_0_31,refute_0_26]) ).
cnf(refute_0_33,plain,
( plus(X_3090,p(X_3090)) != plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I))))
| ~ le(X_3090,n)
| ~ le(perm(perm(perm(skolemFOFtoCNF_I))),n)
| ~ le(s(X_3090),perm(perm(perm(skolemFOFtoCNF_I))))
| ~ le(s(n0),X_3090) ),
inference(subst,[],[refute_0_32:[bind(I,$fot(perm(perm(skolemFOFtoCNF_I)))),bind(X_1968,$fot(X_3090))]]) ).
cnf(refute_0_34,plain,
( ~ le(I,n)
| ~ le(s(n0),I)
| le(s(n0),perm(I)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_35,plain,
( ~ le(perm(skolemFOFtoCNF_I),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_I))
| le(s(n0),perm(perm(skolemFOFtoCNF_I))) ),
inference(subst,[],[refute_0_34:[bind(I,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_36,plain,
( le(s(n0),skolemFOFtoCNF_I)
| queens_q ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_37,plain,
le(s(n0),skolemFOFtoCNF_I),
inference(resolve,[$cnf( queens_q )],[refute_0_36,refute_0_2]) ).
cnf(refute_0_38,plain,
( ~ le(s(n0),skolemFOFtoCNF_I)
| ~ le(skolemFOFtoCNF_I,n)
| le(s(n0),perm(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_34:[bind(I,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_39,plain,
( ~ le(skolemFOFtoCNF_I,n)
| le(s(n0),perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( le(s(n0),skolemFOFtoCNF_I) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( le(skolemFOFtoCNF_I,n)
| queens_q ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_41,plain,
le(skolemFOFtoCNF_I,n),
inference(resolve,[$cnf( queens_q )],[refute_0_40,refute_0_2]) ).
cnf(refute_0_42,plain,
le(s(n0),perm(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( le(skolemFOFtoCNF_I,n) )],[refute_0_41,refute_0_39]) ).
cnf(refute_0_43,plain,
( ~ le(perm(skolemFOFtoCNF_I),n)
| le(s(n0),perm(perm(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( le(s(n0),perm(skolemFOFtoCNF_I)) )],[refute_0_42,refute_0_35]) ).
cnf(refute_0_44,plain,
( ~ le(I,n)
| ~ le(s(n0),I)
| le(perm(I),n) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_45,plain,
( ~ le(s(n0),skolemFOFtoCNF_I)
| ~ le(skolemFOFtoCNF_I,n)
| le(perm(skolemFOFtoCNF_I),n) ),
inference(subst,[],[refute_0_44:[bind(I,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_46,plain,
( ~ le(skolemFOFtoCNF_I,n)
| le(perm(skolemFOFtoCNF_I),n) ),
inference(resolve,[$cnf( le(s(n0),skolemFOFtoCNF_I) )],[refute_0_37,refute_0_45]) ).
cnf(refute_0_47,plain,
le(perm(skolemFOFtoCNF_I),n),
inference(resolve,[$cnf( le(skolemFOFtoCNF_I,n) )],[refute_0_41,refute_0_46]) ).
cnf(refute_0_48,plain,
le(s(n0),perm(perm(skolemFOFtoCNF_I))),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_I),n) )],[refute_0_47,refute_0_43]) ).
cnf(refute_0_49,plain,
( ~ le(I,n)
| ~ le(s(n0),I)
| perm(I) = minus(s(n),I) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_50,plain,
( ~ le(perm(perm(skolemFOFtoCNF_I)),n)
| ~ le(s(n0),perm(perm(skolemFOFtoCNF_I)))
| perm(perm(perm(skolemFOFtoCNF_I))) = minus(s(n),perm(perm(skolemFOFtoCNF_I))) ),
inference(subst,[],[refute_0_49:[bind(I,$fot(perm(perm(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_51,plain,
( ~ le(perm(perm(skolemFOFtoCNF_I)),n)
| perm(perm(perm(skolemFOFtoCNF_I))) = minus(s(n),perm(perm(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( le(s(n0),perm(perm(skolemFOFtoCNF_I))) )],[refute_0_48,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ le(perm(skolemFOFtoCNF_I),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_I))
| le(perm(perm(skolemFOFtoCNF_I)),n) ),
inference(subst,[],[refute_0_44:[bind(I,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_53,plain,
( ~ le(perm(skolemFOFtoCNF_I),n)
| le(perm(perm(skolemFOFtoCNF_I)),n) ),
inference(resolve,[$cnf( le(s(n0),perm(skolemFOFtoCNF_I)) )],[refute_0_42,refute_0_52]) ).
cnf(refute_0_54,plain,
le(perm(perm(skolemFOFtoCNF_I)),n),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_I),n) )],[refute_0_47,refute_0_53]) ).
cnf(refute_0_55,plain,
perm(perm(perm(skolemFOFtoCNF_I))) = minus(s(n),perm(perm(skolemFOFtoCNF_I))),
inference(resolve,[$cnf( le(perm(perm(skolemFOFtoCNF_I)),n) )],[refute_0_54,refute_0_51]) ).
cnf(refute_0_56,plain,
( ~ le(s(n0),skolemFOFtoCNF_I)
| ~ le(skolemFOFtoCNF_I,n)
| perm(skolemFOFtoCNF_I) = minus(s(n),skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_49:[bind(I,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_57,plain,
( ~ le(skolemFOFtoCNF_I,n)
| perm(skolemFOFtoCNF_I) = minus(s(n),skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( le(s(n0),skolemFOFtoCNF_I) )],[refute_0_37,refute_0_56]) ).
cnf(refute_0_58,plain,
perm(skolemFOFtoCNF_I) = minus(s(n),skolemFOFtoCNF_I),
inference(resolve,[$cnf( le(skolemFOFtoCNF_I,n) )],[refute_0_41,refute_0_57]) ).
cnf(refute_0_59,plain,
( perm(skolemFOFtoCNF_I) != minus(s(n),skolemFOFtoCNF_I)
| minus(s(n),skolemFOFtoCNF_I) = perm(skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(perm(skolemFOFtoCNF_I))),bind(Y0,$fot(minus(s(n),skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_60,plain,
minus(s(n),skolemFOFtoCNF_I) = perm(skolemFOFtoCNF_I),
inference(resolve,[$cnf( $equal(perm(skolemFOFtoCNF_I),minus(s(n),skolemFOFtoCNF_I)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
minus(I,J) = minus(perm(J),perm(I)),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_62,plain,
( minus(I,J) != minus(perm(J),perm(I))
| minus(perm(J),perm(I)) = minus(I,J) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(I,J))),bind(Y0,$fot(minus(perm(J),perm(I))))]]) ).
cnf(refute_0_63,plain,
minus(perm(J),perm(I)) = minus(I,J),
inference(resolve,[$cnf( $equal(minus(I,J),minus(perm(J),perm(I))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
minus(perm(skolemFOFtoCNF_I),perm(s(n))) = minus(s(n),skolemFOFtoCNF_I),
inference(subst,[],[refute_0_63:[bind(I,$fot(s(n))),bind(J,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_65,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_66,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_13,refute_0_65]) ).
cnf(refute_0_67,plain,
( minus(perm(skolemFOFtoCNF_I),perm(s(n))) != minus(s(n),skolemFOFtoCNF_I)
| minus(s(n),skolemFOFtoCNF_I) != perm(skolemFOFtoCNF_I)
| minus(perm(skolemFOFtoCNF_I),perm(s(n))) = perm(skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_66:[bind(X0,$fot(minus(perm(skolemFOFtoCNF_I),perm(s(n))))),bind(Y0,$fot(minus(s(n),skolemFOFtoCNF_I))),bind(Z0,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_68,plain,
( minus(s(n),skolemFOFtoCNF_I) != perm(skolemFOFtoCNF_I)
| minus(perm(skolemFOFtoCNF_I),perm(s(n))) = perm(skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( $equal(minus(perm(skolemFOFtoCNF_I),perm(s(n))),minus(s(n),skolemFOFtoCNF_I)) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
minus(perm(skolemFOFtoCNF_I),perm(s(n))) = perm(skolemFOFtoCNF_I),
inference(resolve,[$cnf( $equal(minus(s(n),skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I)) )],[refute_0_60,refute_0_68]) ).
cnf(refute_0_70,plain,
( minus(I,J) != minus(K,L)
| minus(I,K) = minus(J,L) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_71,plain,
( minus(X_226,X_227) != minus(perm(J),perm(I))
| minus(X_226,perm(J)) = minus(X_227,perm(I)) ),
inference(subst,[],[refute_0_70:[bind(I,$fot(X_226)),bind(J,$fot(X_227)),bind(K,$fot(perm(J))),bind(L,$fot(perm(I)))]]) ).
cnf(refute_0_72,plain,
( minus(X_226,X_227) != minus(I,J)
| minus(perm(J),perm(I)) != minus(I,J)
| minus(X_226,X_227) = minus(perm(J),perm(I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(X_226,X_227),minus(perm(J),perm(I))) ),[1],$fot(minus(I,J))]]) ).
cnf(refute_0_73,plain,
( minus(X_226,X_227) != minus(I,J)
| minus(X_226,X_227) = minus(perm(J),perm(I)) ),
inference(resolve,[$cnf( $equal(minus(perm(J),perm(I)),minus(I,J)) )],[refute_0_63,refute_0_72]) ).
cnf(refute_0_74,plain,
( minus(X_226,X_227) != minus(I,J)
| minus(X_226,perm(J)) = minus(X_227,perm(I)) ),
inference(resolve,[$cnf( $equal(minus(X_226,X_227),minus(perm(J),perm(I))) )],[refute_0_73,refute_0_71]) ).
cnf(refute_0_75,plain,
( minus(I,J) != minus(I,J)
| minus(I,perm(J)) = minus(J,perm(I)) ),
inference(subst,[],[refute_0_74:[bind(X_226,$fot(I)),bind(X_227,$fot(J))]]) ).
cnf(refute_0_76,plain,
minus(I,J) = minus(I,J),
introduced(tautology,[refl,[$fot(minus(I,J))]]) ).
cnf(refute_0_77,plain,
minus(I,perm(J)) = minus(J,perm(I)),
inference(resolve,[$cnf( $equal(minus(I,J),minus(I,J)) )],[refute_0_76,refute_0_75]) ).
cnf(refute_0_78,plain,
( minus(I,perm(J)) != minus(J,perm(I))
| minus(J,perm(I)) = minus(I,perm(J)) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(I,perm(J)))),bind(Y0,$fot(minus(J,perm(I))))]]) ).
cnf(refute_0_79,plain,
minus(J,perm(I)) = minus(I,perm(J)),
inference(resolve,[$cnf( $equal(minus(I,perm(J)),minus(J,perm(I))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
minus(s(n),perm(perm(skolemFOFtoCNF_I))) = minus(perm(skolemFOFtoCNF_I),perm(s(n))),
inference(subst,[],[refute_0_79:[bind(I,$fot(perm(skolemFOFtoCNF_I))),bind(J,$fot(s(n)))]]) ).
cnf(refute_0_81,plain,
( minus(perm(skolemFOFtoCNF_I),perm(s(n))) != perm(skolemFOFtoCNF_I)
| minus(s(n),perm(perm(skolemFOFtoCNF_I))) != minus(perm(skolemFOFtoCNF_I),perm(s(n)))
| minus(s(n),perm(perm(skolemFOFtoCNF_I))) = perm(skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_66:[bind(X0,$fot(minus(s(n),perm(perm(skolemFOFtoCNF_I))))),bind(Y0,$fot(minus(perm(skolemFOFtoCNF_I),perm(s(n))))),bind(Z0,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_82,plain,
( minus(perm(skolemFOFtoCNF_I),perm(s(n))) != perm(skolemFOFtoCNF_I)
| minus(s(n),perm(perm(skolemFOFtoCNF_I))) = perm(skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( $equal(minus(s(n),perm(perm(skolemFOFtoCNF_I))),minus(perm(skolemFOFtoCNF_I),perm(s(n)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
minus(s(n),perm(perm(skolemFOFtoCNF_I))) = perm(skolemFOFtoCNF_I),
inference(resolve,[$cnf( $equal(minus(perm(skolemFOFtoCNF_I),perm(s(n))),perm(skolemFOFtoCNF_I)) )],[refute_0_69,refute_0_82]) ).
cnf(refute_0_84,plain,
( minus(s(n),perm(perm(skolemFOFtoCNF_I))) != perm(skolemFOFtoCNF_I)
| perm(perm(perm(skolemFOFtoCNF_I))) != minus(s(n),perm(perm(skolemFOFtoCNF_I)))
| perm(perm(perm(skolemFOFtoCNF_I))) = perm(skolemFOFtoCNF_I) ),
introduced(tautology,[equality,[$cnf( $equal(perm(perm(perm(skolemFOFtoCNF_I))),minus(s(n),perm(perm(skolemFOFtoCNF_I)))) ),[1],$fot(perm(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_85,plain,
( perm(perm(perm(skolemFOFtoCNF_I))) != minus(s(n),perm(perm(skolemFOFtoCNF_I)))
| perm(perm(perm(skolemFOFtoCNF_I))) = perm(skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( $equal(minus(s(n),perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
perm(perm(perm(skolemFOFtoCNF_I))) = perm(skolemFOFtoCNF_I),
inference(resolve,[$cnf( $equal(perm(perm(perm(skolemFOFtoCNF_I))),minus(s(n),perm(perm(skolemFOFtoCNF_I)))) )],[refute_0_55,refute_0_85]) ).
cnf(refute_0_87,plain,
( perm(perm(perm(skolemFOFtoCNF_I))) != perm(skolemFOFtoCNF_I)
| ~ le(s(X_3090),perm(skolemFOFtoCNF_I))
| le(s(X_3090),perm(perm(perm(skolemFOFtoCNF_I)))) ),
introduced(tautology,[equality,[$cnf( ~ le(s(X_3090),perm(perm(perm(skolemFOFtoCNF_I)))) ),[1],$fot(perm(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_88,plain,
( ~ le(s(X_3090),perm(skolemFOFtoCNF_I))
| le(s(X_3090),perm(perm(perm(skolemFOFtoCNF_I)))) ),
inference(resolve,[$cnf( $equal(perm(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( plus(X_3090,p(X_3090)) != plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I))))
| ~ le(X_3090,n)
| ~ le(perm(perm(perm(skolemFOFtoCNF_I))),n)
| ~ le(s(X_3090),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_3090) ),
inference(resolve,[$cnf( le(s(X_3090),perm(perm(perm(skolemFOFtoCNF_I)))) )],[refute_0_88,refute_0_33]) ).
cnf(refute_0_90,plain,
q(perm(perm(skolemFOFtoCNF_I))) = p(perm(perm(perm(skolemFOFtoCNF_I)))),
inference(subst,[],[refute_0_27:[bind(I,$fot(perm(perm(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_91,plain,
( perm(perm(perm(skolemFOFtoCNF_I))) != perm(skolemFOFtoCNF_I)
| q(perm(perm(skolemFOFtoCNF_I))) != p(perm(perm(perm(skolemFOFtoCNF_I))))
| q(perm(perm(skolemFOFtoCNF_I))) = p(perm(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( $equal(q(perm(perm(skolemFOFtoCNF_I))),p(perm(perm(perm(skolemFOFtoCNF_I))))) ),[1,0],$fot(perm(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_92,plain,
( q(perm(perm(skolemFOFtoCNF_I))) != p(perm(perm(perm(skolemFOFtoCNF_I))))
| q(perm(perm(skolemFOFtoCNF_I))) = p(perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(perm(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) )],[refute_0_86,refute_0_91]) ).
cnf(refute_0_93,plain,
q(perm(perm(skolemFOFtoCNF_I))) = p(perm(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( $equal(q(perm(perm(skolemFOFtoCNF_I))),p(perm(perm(perm(skolemFOFtoCNF_I))))) )],[refute_0_90,refute_0_92]) ).
cnf(refute_0_94,plain,
p(perm(skolemFOFtoCNF_I)) = q(skolemFOFtoCNF_I),
inference(subst,[],[refute_0_29:[bind(I,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_95,plain,
( p(perm(skolemFOFtoCNF_I)) != q(skolemFOFtoCNF_I)
| q(perm(perm(skolemFOFtoCNF_I))) != p(perm(skolemFOFtoCNF_I))
| q(perm(perm(skolemFOFtoCNF_I))) = q(skolemFOFtoCNF_I) ),
introduced(tautology,[equality,[$cnf( $equal(q(perm(perm(skolemFOFtoCNF_I))),p(perm(skolemFOFtoCNF_I))) ),[1],$fot(q(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_96,plain,
( q(perm(perm(skolemFOFtoCNF_I))) != p(perm(skolemFOFtoCNF_I))
| q(perm(perm(skolemFOFtoCNF_I))) = q(skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( $equal(p(perm(skolemFOFtoCNF_I)),q(skolemFOFtoCNF_I)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
q(perm(perm(skolemFOFtoCNF_I))) = q(skolemFOFtoCNF_I),
inference(resolve,[$cnf( $equal(q(perm(perm(skolemFOFtoCNF_I))),p(perm(skolemFOFtoCNF_I))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))),
introduced(tautology,[refl,[$fot(plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))))]]) ).
cnf(refute_0_99,plain,
( plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) != plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))
| q(perm(perm(skolemFOFtoCNF_I))) != q(skolemFOFtoCNF_I)
| plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( $equal(plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))),plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))) ),[1,1],$fot(q(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_100,plain,
( q(perm(perm(skolemFOFtoCNF_I))) != q(skolemFOFtoCNF_I)
| plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))),plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( $equal(q(perm(perm(skolemFOFtoCNF_I))),q(skolemFOFtoCNF_I)) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) = plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))),
inference(subst,[],[refute_0_15:[bind(J,$fot(q(perm(perm(skolemFOFtoCNF_I))))),bind(L,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_103,plain,
( minus(perm(perm(X_240)),K) != minus(L,J)
| plus(perm(perm(X_240)),J) = plus(K,L) ),
inference(subst,[],[refute_0_7:[bind(I,$fot(perm(perm(X_240))))]]) ).
cnf(refute_0_104,plain,
( minus(perm(J),perm(I)) != minus(X_228,X_229)
| minus(perm(J),X_228) = minus(perm(I),X_229) ),
inference(subst,[],[refute_0_70:[bind(I,$fot(perm(J))),bind(J,$fot(perm(I))),bind(K,$fot(X_228)),bind(L,$fot(X_229))]]) ).
cnf(refute_0_105,plain,
( minus(I,J) != minus(X_228,X_229)
| minus(perm(J),perm(I)) != minus(I,J)
| minus(perm(J),perm(I)) = minus(X_228,X_229) ),
introduced(tautology,[equality,[$cnf( $equal(minus(perm(J),perm(I)),minus(I,J)) ),[1],$fot(minus(X_228,X_229))]]) ).
cnf(refute_0_106,plain,
( minus(I,J) != minus(X_228,X_229)
| minus(perm(J),perm(I)) = minus(X_228,X_229) ),
inference(resolve,[$cnf( $equal(minus(perm(J),perm(I)),minus(I,J)) )],[refute_0_63,refute_0_105]) ).
cnf(refute_0_107,plain,
( minus(I,J) != minus(X_228,X_229)
| minus(perm(J),X_228) = minus(perm(I),X_229) ),
inference(resolve,[$cnf( $equal(minus(perm(J),perm(I)),minus(X_228,X_229)) )],[refute_0_106,refute_0_104]) ).
cnf(refute_0_108,plain,
( minus(X_228,X_229) != minus(X_228,X_229)
| minus(perm(X_229),X_228) = minus(perm(X_228),X_229) ),
inference(subst,[],[refute_0_107:[bind(I,$fot(X_228)),bind(J,$fot(X_229))]]) ).
cnf(refute_0_109,plain,
minus(X_228,X_229) = minus(X_228,X_229),
introduced(tautology,[refl,[$fot(minus(X_228,X_229))]]) ).
cnf(refute_0_110,plain,
minus(perm(X_229),X_228) = minus(perm(X_228),X_229),
inference(resolve,[$cnf( $equal(minus(X_228,X_229),minus(X_228,X_229)) )],[refute_0_109,refute_0_108]) ).
cnf(refute_0_111,plain,
minus(perm(J),perm(I)) = minus(perm(perm(I)),J),
inference(subst,[],[refute_0_110:[bind(X_228,$fot(perm(I))),bind(X_229,$fot(J))]]) ).
cnf(refute_0_112,plain,
( minus(I,J) != minus(perm(J),perm(I))
| minus(perm(J),perm(I)) != minus(perm(perm(I)),J)
| minus(I,J) = minus(perm(perm(I)),J) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,J),minus(perm(perm(I)),J)) ),[0],$fot(minus(perm(J),perm(I)))]]) ).
cnf(refute_0_113,plain,
( minus(I,J) != minus(perm(J),perm(I))
| minus(I,J) = minus(perm(perm(I)),J) ),
inference(resolve,[$cnf( $equal(minus(perm(J),perm(I)),minus(perm(perm(I)),J)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
minus(I,J) = minus(perm(perm(I)),J),
inference(resolve,[$cnf( $equal(minus(I,J),minus(perm(J),perm(I))) )],[refute_0_61,refute_0_113]) ).
cnf(refute_0_115,plain,
minus(X_240,K) = minus(perm(perm(X_240)),K),
inference(subst,[],[refute_0_114:[bind(I,$fot(X_240)),bind(J,$fot(K))]]) ).
cnf(refute_0_116,plain,
( minus(X_240,K) != minus(perm(perm(X_240)),K)
| minus(perm(perm(X_240)),K) = minus(X_240,K) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(X_240,K))),bind(Y0,$fot(minus(perm(perm(X_240)),K)))]]) ).
cnf(refute_0_117,plain,
minus(perm(perm(X_240)),K) = minus(X_240,K),
inference(resolve,[$cnf( $equal(minus(X_240,K),minus(perm(perm(X_240)),K)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( minus(X_240,K) != minus(L,J)
| minus(perm(perm(X_240)),K) != minus(X_240,K)
| minus(perm(perm(X_240)),K) = minus(L,J) ),
introduced(tautology,[equality,[$cnf( $equal(minus(perm(perm(X_240)),K),minus(X_240,K)) ),[1],$fot(minus(L,J))]]) ).
cnf(refute_0_119,plain,
( minus(X_240,K) != minus(L,J)
| minus(perm(perm(X_240)),K) = minus(L,J) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(X_240)),K),minus(X_240,K)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( minus(X_240,K) != minus(L,J)
| plus(perm(perm(X_240)),J) = plus(K,L) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(X_240)),K),minus(L,J)) )],[refute_0_119,refute_0_103]) ).
cnf(refute_0_121,plain,
( minus(L,J) != minus(L,J)
| plus(perm(perm(L)),J) = plus(J,L) ),
inference(subst,[],[refute_0_120:[bind(K,$fot(J)),bind(X_240,$fot(L))]]) ).
cnf(refute_0_122,plain,
plus(perm(perm(L)),J) = plus(J,L),
inference(resolve,[$cnf( $equal(minus(L,J),minus(L,J)) )],[refute_0_9,refute_0_121]) ).
cnf(refute_0_123,plain,
plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) = plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)),
inference(subst,[],[refute_0_122:[bind(J,$fot(q(perm(perm(skolemFOFtoCNF_I))))),bind(L,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_124,plain,
( plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) != plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I))
| plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) != plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))
| plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) ),
inference(subst,[],[refute_0_66:[bind(X0,$fot(plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))))),bind(Y0,$fot(plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)))),bind(Z0,$fot(plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))))]]) ).
cnf(refute_0_125,plain,
( plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) != plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))
| plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) ),
inference(resolve,[$cnf( $equal(plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))),plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))),
inference(resolve,[$cnf( $equal(plus(q(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)),plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))) )],[refute_0_102,refute_0_125]) ).
cnf(refute_0_127,plain,
( plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) != plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))
| plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_66:[bind(X0,$fot(plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))))),bind(Y0,$fot(plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))))),bind(Z0,$fot(plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_128,plain,
( plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))),plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I))))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( $equal(plus(perm(skolemFOFtoCNF_I),q(perm(perm(skolemFOFtoCNF_I)))),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) )],[refute_0_101,refute_0_128]) ).
cnf(refute_0_130,plain,
( plus(X_3090,p(X_3090)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(X_3090,p(X_3090)) = plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(X_3090,p(X_3090)),plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I))))) ),[1],$fot(plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_131,plain,
( plus(X_3090,p(X_3090)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(X_3090,p(X_3090)) = plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))) ),
inference(resolve,[$cnf( $equal(plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I)))),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( plus(X_3090,p(X_3090)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(X_3090,n)
| ~ le(perm(perm(perm(skolemFOFtoCNF_I))),n)
| ~ le(s(X_3090),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_3090) ),
inference(resolve,[$cnf( $equal(plus(X_3090,p(X_3090)),plus(perm(perm(perm(skolemFOFtoCNF_I))),q(perm(perm(skolemFOFtoCNF_I))))) )],[refute_0_131,refute_0_89]) ).
cnf(refute_0_133,plain,
( perm(perm(perm(skolemFOFtoCNF_I))) != perm(skolemFOFtoCNF_I)
| ~ le(perm(skolemFOFtoCNF_I),n)
| le(perm(perm(perm(skolemFOFtoCNF_I))),n) ),
introduced(tautology,[equality,[$cnf( ~ le(perm(perm(perm(skolemFOFtoCNF_I))),n) ),[0],$fot(perm(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_134,plain,
( ~ le(perm(skolemFOFtoCNF_I),n)
| le(perm(perm(perm(skolemFOFtoCNF_I))),n) ),
inference(resolve,[$cnf( $equal(perm(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) )],[refute_0_86,refute_0_133]) ).
cnf(refute_0_135,plain,
( plus(X_3090,p(X_3090)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(X_3090,n)
| ~ le(perm(skolemFOFtoCNF_I),n)
| ~ le(s(X_3090),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_3090) ),
inference(resolve,[$cnf( le(perm(perm(perm(skolemFOFtoCNF_I))),n) )],[refute_0_134,refute_0_132]) ).
cnf(refute_0_136,plain,
( plus(X_3090,p(X_3090)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(X_3090,n)
| ~ le(s(X_3090),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_3090) ),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_I),n) )],[refute_0_47,refute_0_135]) ).
cnf(refute_0_137,plain,
( plus(perm(I),p(perm(I))) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(perm(I),n)
| ~ le(s(n0),perm(I))
| ~ le(s(perm(I)),perm(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_136:[bind(X_3090,$fot(perm(I)))]]) ).
cnf(refute_0_138,plain,
( p(perm(I)) != q(I)
| plus(perm(I),q(I)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(I),p(perm(I))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(perm(I),p(perm(I))),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) ),[0,1],$fot(q(I))]]) ).
cnf(refute_0_139,plain,
( plus(perm(I),q(I)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(I),p(perm(I))) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(p(perm(I)),q(I)) )],[refute_0_29,refute_0_138]) ).
cnf(refute_0_140,plain,
( plus(perm(I),q(I)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(perm(I),n)
| ~ le(s(n0),perm(I))
| ~ le(s(perm(I)),perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(plus(perm(I),p(perm(I))),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) )],[refute_0_139,refute_0_137]) ).
cnf(refute_0_141,plain,
( plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J))
| ~ le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_140:[bind(I,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_142,plain,
( plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I)) )],[refute_0_5,refute_0_141]) ).
cnf(refute_0_143,plain,
( minus(perm(X_235),K) != minus(L,J)
| plus(perm(X_235),J) = plus(K,L) ),
inference(subst,[],[refute_0_7:[bind(I,$fot(perm(X_235)))]]) ).
cnf(refute_0_144,plain,
minus(perm(X_235),K) = minus(perm(K),X_235),
inference(subst,[],[refute_0_110:[bind(X_228,$fot(K)),bind(X_229,$fot(X_235))]]) ).
cnf(refute_0_145,plain,
( minus(perm(K),X_235) != minus(L,J)
| minus(perm(X_235),K) != minus(perm(K),X_235)
| minus(perm(X_235),K) = minus(L,J) ),
introduced(tautology,[equality,[$cnf( $equal(minus(perm(X_235),K),minus(perm(K),X_235)) ),[1],$fot(minus(L,J))]]) ).
cnf(refute_0_146,plain,
( minus(perm(K),X_235) != minus(L,J)
| minus(perm(X_235),K) = minus(L,J) ),
inference(resolve,[$cnf( $equal(minus(perm(X_235),K),minus(perm(K),X_235)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( minus(perm(K),X_235) != minus(L,J)
| plus(perm(X_235),J) = plus(K,L) ),
inference(resolve,[$cnf( $equal(minus(perm(X_235),K),minus(L,J)) )],[refute_0_146,refute_0_143]) ).
cnf(refute_0_148,plain,
( minus(perm(X_2465),X_2467) != minus(perm(perm(I)),X_2464)
| plus(perm(X_2467),X_2464) = plus(X_2465,perm(perm(I))) ),
inference(subst,[],[refute_0_147:[bind(J,$fot(X_2464)),bind(K,$fot(X_2465)),bind(L,$fot(perm(perm(I)))),bind(X_235,$fot(X_2467))]]) ).
cnf(refute_0_149,plain,
minus(I,X_2464) = minus(perm(perm(I)),X_2464),
inference(subst,[],[refute_0_114:[bind(J,$fot(X_2464))]]) ).
cnf(refute_0_150,plain,
( minus(I,X_2464) != minus(perm(perm(I)),X_2464)
| minus(perm(perm(I)),X_2464) = minus(I,X_2464) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(I,X_2464))),bind(Y0,$fot(minus(perm(perm(I)),X_2464)))]]) ).
cnf(refute_0_151,plain,
minus(perm(perm(I)),X_2464) = minus(I,X_2464),
inference(resolve,[$cnf( $equal(minus(I,X_2464),minus(perm(perm(I)),X_2464)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( minus(perm(X_2465),X_2467) != minus(I,X_2464)
| minus(perm(perm(I)),X_2464) != minus(I,X_2464)
| minus(perm(X_2465),X_2467) = minus(perm(perm(I)),X_2464) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(perm(X_2465),X_2467),minus(perm(perm(I)),X_2464)) ),[1],$fot(minus(I,X_2464))]]) ).
cnf(refute_0_153,plain,
( minus(perm(X_2465),X_2467) != minus(I,X_2464)
| minus(perm(X_2465),X_2467) = minus(perm(perm(I)),X_2464) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(I)),X_2464),minus(I,X_2464)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( minus(perm(X_2465),X_2467) != minus(I,X_2464)
| plus(perm(X_2467),X_2464) = plus(X_2465,perm(perm(I))) ),
inference(resolve,[$cnf( $equal(minus(perm(X_2465),X_2467),minus(perm(perm(I)),X_2464)) )],[refute_0_153,refute_0_148]) ).
cnf(refute_0_155,plain,
( minus(I,K) != minus(perm(perm(X_240)),J)
| plus(I,J) = plus(K,perm(perm(X_240))) ),
inference(subst,[],[refute_0_7:[bind(L,$fot(perm(perm(X_240))))]]) ).
cnf(refute_0_156,plain,
minus(X_240,J) = minus(perm(perm(X_240)),J),
inference(subst,[],[refute_0_114:[bind(I,$fot(X_240))]]) ).
cnf(refute_0_157,plain,
( minus(X_240,J) != minus(perm(perm(X_240)),J)
| minus(perm(perm(X_240)),J) = minus(X_240,J) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(X_240,J))),bind(Y0,$fot(minus(perm(perm(X_240)),J)))]]) ).
cnf(refute_0_158,plain,
minus(perm(perm(X_240)),J) = minus(X_240,J),
inference(resolve,[$cnf( $equal(minus(X_240,J),minus(perm(perm(X_240)),J)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( minus(I,K) != minus(X_240,J)
| minus(perm(perm(X_240)),J) != minus(X_240,J)
| minus(I,K) = minus(perm(perm(X_240)),J) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,K),minus(perm(perm(X_240)),J)) ),[1],$fot(minus(X_240,J))]]) ).
cnf(refute_0_160,plain,
( minus(I,K) != minus(X_240,J)
| minus(I,K) = minus(perm(perm(X_240)),J) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(X_240)),J),minus(X_240,J)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( minus(I,K) != minus(X_240,J)
| plus(I,J) = plus(K,perm(perm(X_240))) ),
inference(resolve,[$cnf( $equal(minus(I,K),minus(perm(perm(X_240)),J)) )],[refute_0_160,refute_0_155]) ).
cnf(refute_0_162,plain,
( minus(X_240,J) != minus(X_240,J)
| plus(X_240,J) = plus(J,perm(perm(X_240))) ),
inference(subst,[],[refute_0_161:[bind(I,$fot(X_240)),bind(K,$fot(J))]]) ).
cnf(refute_0_163,plain,
minus(X_240,J) = minus(X_240,J),
introduced(tautology,[refl,[$fot(minus(X_240,J))]]) ).
cnf(refute_0_164,plain,
plus(X_240,J) = plus(J,perm(perm(X_240))),
inference(resolve,[$cnf( $equal(minus(X_240,J),minus(X_240,J)) )],[refute_0_163,refute_0_162]) ).
cnf(refute_0_165,plain,
( plus(X_240,J) != plus(J,perm(perm(X_240)))
| plus(J,perm(perm(X_240))) = plus(X_240,J) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(plus(X_240,J))),bind(Y0,$fot(plus(J,perm(perm(X_240)))))]]) ).
cnf(refute_0_166,plain,
plus(J,perm(perm(X_240))) = plus(X_240,J),
inference(resolve,[$cnf( $equal(plus(X_240,J),plus(J,perm(perm(X_240)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
plus(X_2465,perm(perm(I))) = plus(I,X_2465),
inference(subst,[],[refute_0_166:[bind(J,$fot(X_2465)),bind(X_240,$fot(I))]]) ).
cnf(refute_0_168,plain,
( plus(X_2465,perm(perm(I))) != plus(I,X_2465)
| plus(perm(X_2467),X_2464) != plus(X_2465,perm(perm(I)))
| plus(perm(X_2467),X_2464) = plus(I,X_2465) ),
introduced(tautology,[equality,[$cnf( $equal(plus(perm(X_2467),X_2464),plus(X_2465,perm(perm(I)))) ),[1],$fot(plus(I,X_2465))]]) ).
cnf(refute_0_169,plain,
( plus(perm(X_2467),X_2464) != plus(X_2465,perm(perm(I)))
| plus(perm(X_2467),X_2464) = plus(I,X_2465) ),
inference(resolve,[$cnf( $equal(plus(X_2465,perm(perm(I))),plus(I,X_2465)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( minus(perm(X_2465),X_2467) != minus(I,X_2464)
| plus(perm(X_2467),X_2464) = plus(I,X_2465) ),
inference(resolve,[$cnf( $equal(plus(perm(X_2467),X_2464),plus(X_2465,perm(perm(I)))) )],[refute_0_154,refute_0_169]) ).
cnf(refute_0_171,plain,
( minus(perm(perm(I)),X_2471) != minus(X_2468,X_2469)
| plus(perm(X_2471),X_2469) = plus(X_2468,perm(I)) ),
inference(subst,[],[refute_0_170:[bind(I,$fot(X_2468)),bind(X_2464,$fot(X_2469)),bind(X_2465,$fot(perm(I))),bind(X_2467,$fot(X_2471))]]) ).
cnf(refute_0_172,plain,
minus(I,X_2471) = minus(perm(perm(I)),X_2471),
inference(subst,[],[refute_0_114:[bind(J,$fot(X_2471))]]) ).
cnf(refute_0_173,plain,
( minus(I,X_2471) != minus(perm(perm(I)),X_2471)
| minus(perm(perm(I)),X_2471) = minus(I,X_2471) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(I,X_2471))),bind(Y0,$fot(minus(perm(perm(I)),X_2471)))]]) ).
cnf(refute_0_174,plain,
minus(perm(perm(I)),X_2471) = minus(I,X_2471),
inference(resolve,[$cnf( $equal(minus(I,X_2471),minus(perm(perm(I)),X_2471)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( minus(I,X_2471) != minus(X_2468,X_2469)
| minus(perm(perm(I)),X_2471) != minus(I,X_2471)
| minus(perm(perm(I)),X_2471) = minus(X_2468,X_2469) ),
introduced(tautology,[equality,[$cnf( $equal(minus(perm(perm(I)),X_2471),minus(I,X_2471)) ),[1],$fot(minus(X_2468,X_2469))]]) ).
cnf(refute_0_176,plain,
( minus(I,X_2471) != minus(X_2468,X_2469)
| minus(perm(perm(I)),X_2471) = minus(X_2468,X_2469) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(I)),X_2471),minus(I,X_2471)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
( minus(I,X_2471) != minus(X_2468,X_2469)
| plus(perm(X_2471),X_2469) = plus(X_2468,perm(I)) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(I)),X_2471),minus(X_2468,X_2469)) )],[refute_0_176,refute_0_171]) ).
cnf(refute_0_178,plain,
( minus(I,X_2471) != minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))
| plus(perm(X_2471),q(skolemFOFtoCNF_J)) = plus(q(skolemFOFtoCNF_I),perm(I)) ),
inference(subst,[],[refute_0_177:[bind(X_2468,$fot(q(skolemFOFtoCNF_I))),bind(X_2469,$fot(q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_179,plain,
( minus(I,J) != minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| minus(I,skolemFOFtoCNF_J) = minus(J,q(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_70:[bind(K,$fot(skolemFOFtoCNF_J)),bind(L,$fot(q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_180,plain,
( minus(p(I),I) != minus(p(J),J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_181,plain,
( minus(p(I),I) != minus(p(J),J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I) ),
inference(resolve,[$cnf( queens_p )],[refute_0_24,refute_0_180]) ).
cnf(refute_0_182,plain,
( minus(p(X_1966),X_1966) != minus(p(perm(I)),perm(I))
| ~ le(X_1966,n)
| ~ le(perm(I),n)
| ~ le(s(X_1966),perm(I))
| ~ le(s(n0),X_1966) ),
inference(subst,[],[refute_0_181:[bind(I,$fot(X_1966)),bind(J,$fot(perm(I)))]]) ).
cnf(refute_0_183,plain,
( minus(p(X_1966),X_1966) != minus(q(I),perm(I))
| p(perm(I)) != q(I)
| minus(p(X_1966),X_1966) = minus(p(perm(I)),perm(I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(p(X_1966),X_1966),minus(p(perm(I)),perm(I))) ),[1,0],$fot(q(I))]]) ).
cnf(refute_0_184,plain,
( minus(p(X_1966),X_1966) != minus(q(I),perm(I))
| minus(p(X_1966),X_1966) = minus(p(perm(I)),perm(I)) ),
inference(resolve,[$cnf( $equal(p(perm(I)),q(I)) )],[refute_0_29,refute_0_183]) ).
cnf(refute_0_185,plain,
( minus(p(X_1966),X_1966) != minus(q(I),perm(I))
| ~ le(X_1966,n)
| ~ le(perm(I),n)
| ~ le(s(X_1966),perm(I))
| ~ le(s(n0),X_1966) ),
inference(resolve,[$cnf( $equal(minus(p(X_1966),X_1966),minus(p(perm(I)),perm(I))) )],[refute_0_184,refute_0_182]) ).
cnf(refute_0_186,plain,
minus(q(I),perm(I)) = minus(I,perm(q(I))),
inference(subst,[],[refute_0_79:[bind(J,$fot(q(I)))]]) ).
cnf(refute_0_187,plain,
( minus(p(X_1966),X_1966) != minus(I,perm(q(I)))
| minus(q(I),perm(I)) != minus(I,perm(q(I)))
| minus(p(X_1966),X_1966) = minus(q(I),perm(I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(p(X_1966),X_1966),minus(q(I),perm(I))) ),[1],$fot(minus(I,perm(q(I))))]]) ).
cnf(refute_0_188,plain,
( minus(p(X_1966),X_1966) != minus(I,perm(q(I)))
| minus(p(X_1966),X_1966) = minus(q(I),perm(I)) ),
inference(resolve,[$cnf( $equal(minus(q(I),perm(I)),minus(I,perm(q(I)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( minus(p(X_1966),X_1966) != minus(I,perm(q(I)))
| ~ le(X_1966,n)
| ~ le(perm(I),n)
| ~ le(s(X_1966),perm(I))
| ~ le(s(n0),X_1966) ),
inference(resolve,[$cnf( $equal(minus(p(X_1966),X_1966),minus(q(I),perm(I))) )],[refute_0_188,refute_0_185]) ).
cnf(refute_0_190,plain,
( minus(p(X_2875),X_2875) != minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I)))))
| ~ le(X_2875,n)
| ~ le(perm(perm(perm(skolemFOFtoCNF_I))),n)
| ~ le(s(X_2875),perm(perm(perm(skolemFOFtoCNF_I))))
| ~ le(s(n0),X_2875) ),
inference(subst,[],[refute_0_189:[bind(I,$fot(perm(perm(skolemFOFtoCNF_I)))),bind(X_1966,$fot(X_2875))]]) ).
cnf(refute_0_191,plain,
( perm(perm(perm(skolemFOFtoCNF_I))) != perm(skolemFOFtoCNF_I)
| ~ le(s(X_2875),perm(skolemFOFtoCNF_I))
| le(s(X_2875),perm(perm(perm(skolemFOFtoCNF_I)))) ),
introduced(tautology,[equality,[$cnf( ~ le(s(X_2875),perm(perm(perm(skolemFOFtoCNF_I)))) ),[1],$fot(perm(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_192,plain,
( ~ le(s(X_2875),perm(skolemFOFtoCNF_I))
| le(s(X_2875),perm(perm(perm(skolemFOFtoCNF_I)))) ),
inference(resolve,[$cnf( $equal(perm(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) )],[refute_0_86,refute_0_191]) ).
cnf(refute_0_193,plain,
( minus(p(X_2875),X_2875) != minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I)))))
| ~ le(X_2875,n)
| ~ le(perm(perm(perm(skolemFOFtoCNF_I))),n)
| ~ le(s(X_2875),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_2875) ),
inference(resolve,[$cnf( le(s(X_2875),perm(perm(perm(skolemFOFtoCNF_I)))) )],[refute_0_192,refute_0_190]) ).
cnf(refute_0_194,plain,
perm(q(perm(perm(skolemFOFtoCNF_I)))) = perm(q(perm(perm(skolemFOFtoCNF_I)))),
introduced(tautology,[refl,[$fot(perm(q(perm(perm(skolemFOFtoCNF_I)))))]]) ).
cnf(refute_0_195,plain,
( perm(q(perm(perm(skolemFOFtoCNF_I)))) != perm(q(perm(perm(skolemFOFtoCNF_I))))
| q(perm(perm(skolemFOFtoCNF_I))) != q(skolemFOFtoCNF_I)
| perm(q(perm(perm(skolemFOFtoCNF_I)))) = perm(q(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( $equal(perm(q(perm(perm(skolemFOFtoCNF_I)))),perm(q(perm(perm(skolemFOFtoCNF_I))))) ),[1,0],$fot(q(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_196,plain,
( q(perm(perm(skolemFOFtoCNF_I))) != q(skolemFOFtoCNF_I)
| perm(q(perm(perm(skolemFOFtoCNF_I)))) = perm(q(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(perm(q(perm(perm(skolemFOFtoCNF_I)))),perm(q(perm(perm(skolemFOFtoCNF_I))))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
perm(q(perm(perm(skolemFOFtoCNF_I)))) = perm(q(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( $equal(q(perm(perm(skolemFOFtoCNF_I))),q(skolemFOFtoCNF_I)) )],[refute_0_97,refute_0_196]) ).
cnf(refute_0_198,plain,
minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))),
introduced(tautology,[refl,[$fot(minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))))]]) ).
cnf(refute_0_199,plain,
( minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))) != minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I)))))
| perm(q(perm(perm(skolemFOFtoCNF_I)))) != perm(q(skolemFOFtoCNF_I))
| minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
introduced(tautology,[equality,[$cnf( $equal(minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))),minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I)))))) ),[1,1],$fot(perm(q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_200,plain,
( perm(q(perm(perm(skolemFOFtoCNF_I)))) != perm(q(skolemFOFtoCNF_I))
| minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))),minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I)))))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))),
inference(resolve,[$cnf( $equal(perm(q(perm(perm(skolemFOFtoCNF_I)))),perm(q(skolemFOFtoCNF_I))) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
( minus(I,J) != minus(perm(perm(I)),J)
| minus(perm(perm(I)),J) = minus(I,J) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(I,J))),bind(Y0,$fot(minus(perm(perm(I)),J)))]]) ).
cnf(refute_0_203,plain,
minus(perm(perm(I)),J) = minus(I,J),
inference(resolve,[$cnf( $equal(minus(I,J),minus(perm(perm(I)),J)) )],[refute_0_114,refute_0_202]) ).
cnf(refute_0_204,plain,
minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))),
inference(subst,[],[refute_0_203:[bind(I,$fot(skolemFOFtoCNF_I)),bind(J,$fot(perm(q(perm(perm(skolemFOFtoCNF_I))))))]]) ).
cnf(refute_0_205,plain,
( minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) != minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I)))))
| minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(subst,[],[refute_0_66:[bind(X0,$fot(minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))))),bind(Y0,$fot(minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))))),bind(Z0,$fot(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))))]]) ).
cnf(refute_0_206,plain,
( minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))),minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I)))))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,perm(q(perm(perm(skolemFOFtoCNF_I))))),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_201,refute_0_206]) ).
cnf(refute_0_208,plain,
( minus(p(X_2875),X_2875) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(p(X_2875),X_2875) = minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(p(X_2875),X_2875),minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I)))))) ),[1],$fot(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_209,plain,
( minus(p(X_2875),X_2875) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(p(X_2875),X_2875) = minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))) ),
inference(resolve,[$cnf( $equal(minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I))))),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
( minus(p(X_2875),X_2875) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(X_2875,n)
| ~ le(perm(perm(perm(skolemFOFtoCNF_I))),n)
| ~ le(s(X_2875),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_2875) ),
inference(resolve,[$cnf( $equal(minus(p(X_2875),X_2875),minus(perm(perm(skolemFOFtoCNF_I)),perm(q(perm(perm(skolemFOFtoCNF_I)))))) )],[refute_0_209,refute_0_193]) ).
cnf(refute_0_211,plain,
( minus(p(X_2875),X_2875) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(X_2875,n)
| ~ le(perm(skolemFOFtoCNF_I),n)
| ~ le(s(X_2875),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_2875) ),
inference(resolve,[$cnf( le(perm(perm(perm(skolemFOFtoCNF_I))),n) )],[refute_0_134,refute_0_210]) ).
cnf(refute_0_212,plain,
( minus(p(X_2875),X_2875) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(X_2875,n)
| ~ le(s(X_2875),perm(skolemFOFtoCNF_I))
| ~ le(s(n0),X_2875) ),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_I),n) )],[refute_0_47,refute_0_211]) ).
cnf(refute_0_213,plain,
( minus(p(perm(I)),perm(I)) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(perm(I),n)
| ~ le(s(n0),perm(I))
| ~ le(s(perm(I)),perm(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_212:[bind(X_2875,$fot(perm(I)))]]) ).
cnf(refute_0_214,plain,
( minus(q(I),perm(I)) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| p(perm(I)) != q(I)
| minus(p(perm(I)),perm(I)) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(p(perm(I)),perm(I)),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) ),[0,0],$fot(q(I))]]) ).
cnf(refute_0_215,plain,
( minus(q(I),perm(I)) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(p(perm(I)),perm(I)) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(p(perm(I)),q(I)) )],[refute_0_29,refute_0_214]) ).
cnf(refute_0_216,plain,
( minus(q(I),perm(I)) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(perm(I),n)
| ~ le(s(n0),perm(I))
| ~ le(s(perm(I)),perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(minus(p(perm(I)),perm(I)),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_215,refute_0_213]) ).
cnf(refute_0_217,plain,
( minus(I,perm(q(I))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(q(I),perm(I)) != minus(I,perm(q(I)))
| minus(q(I),perm(I)) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
introduced(tautology,[equality,[$cnf( $equal(minus(q(I),perm(I)),minus(I,perm(q(I)))) ),[1],$fot(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_218,plain,
( minus(I,perm(q(I))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(q(I),perm(I)) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(minus(q(I),perm(I)),minus(I,perm(q(I)))) )],[refute_0_186,refute_0_217]) ).
cnf(refute_0_219,plain,
( minus(I,perm(q(I))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(perm(I),n)
| ~ le(s(n0),perm(I))
| ~ le(s(perm(I)),perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(minus(q(I),perm(I)),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_218,refute_0_216]) ).
cnf(refute_0_220,plain,
( minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J))
| ~ le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_219:[bind(I,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_221,plain,
( minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I)) )],[refute_0_5,refute_0_220]) ).
cnf(refute_0_222,plain,
( ~ le(s(n0),skolemFOFtoCNF_J)
| ~ le(skolemFOFtoCNF_J,n)
| le(perm(skolemFOFtoCNF_J),n) ),
inference(subst,[],[refute_0_44:[bind(I,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_223,plain,
le(X,s(X)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_224,plain,
le(skolemFOFtoCNF_I,s(skolemFOFtoCNF_I)),
inference(subst,[],[refute_0_223:[bind(X,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_225,plain,
( ~ le(X,Y)
| ~ le(Y,Z)
| le(X,Z) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_226,plain,
( ~ le(s(n0),skolemFOFtoCNF_I)
| ~ le(skolemFOFtoCNF_I,X_14)
| le(s(n0),X_14) ),
inference(subst,[],[refute_0_225:[bind(X,$fot(s(n0))),bind(Y,$fot(skolemFOFtoCNF_I)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_227,plain,
( ~ le(skolemFOFtoCNF_I,X_14)
| le(s(n0),X_14) ),
inference(resolve,[$cnf( le(s(n0),skolemFOFtoCNF_I) )],[refute_0_37,refute_0_226]) ).
cnf(refute_0_228,plain,
( ~ le(skolemFOFtoCNF_I,s(skolemFOFtoCNF_I))
| le(s(n0),s(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_227:[bind(X_14,$fot(s(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_229,plain,
le(s(n0),s(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( le(skolemFOFtoCNF_I,s(skolemFOFtoCNF_I)) )],[refute_0_224,refute_0_228]) ).
cnf(refute_0_230,plain,
( ~ le(X_12,s(skolemFOFtoCNF_I))
| ~ le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| le(X_12,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_225:[bind(X,$fot(X_12)),bind(Y,$fot(s(skolemFOFtoCNF_I))),bind(Z,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_231,plain,
( ~ le(X_12,s(skolemFOFtoCNF_I))
| le(X_12,skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( le(s(skolemFOFtoCNF_I),skolemFOFtoCNF_J) )],[refute_0_3,refute_0_230]) ).
cnf(refute_0_232,plain,
( ~ le(s(n0),s(skolemFOFtoCNF_I))
| le(s(n0),skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_231:[bind(X_12,$fot(s(n0)))]]) ).
cnf(refute_0_233,plain,
le(s(n0),skolemFOFtoCNF_J),
inference(resolve,[$cnf( le(s(n0),s(skolemFOFtoCNF_I)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( ~ le(skolemFOFtoCNF_J,n)
| le(perm(skolemFOFtoCNF_J),n) ),
inference(resolve,[$cnf( le(s(n0),skolemFOFtoCNF_J) )],[refute_0_233,refute_0_222]) ).
cnf(refute_0_235,plain,
( le(skolemFOFtoCNF_J,n)
| queens_q ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_236,plain,
le(skolemFOFtoCNF_J,n),
inference(resolve,[$cnf( queens_q )],[refute_0_235,refute_0_2]) ).
cnf(refute_0_237,plain,
le(perm(skolemFOFtoCNF_J),n),
inference(resolve,[$cnf( le(skolemFOFtoCNF_J,n) )],[refute_0_236,refute_0_234]) ).
cnf(refute_0_238,plain,
( minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_J),n) )],[refute_0_237,refute_0_221]) ).
cnf(refute_0_239,plain,
( ~ le(s(n0),skolemFOFtoCNF_J)
| ~ le(skolemFOFtoCNF_J,n)
| le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_34:[bind(I,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_240,plain,
( ~ le(skolemFOFtoCNF_J,n)
| le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( le(s(n0),skolemFOFtoCNF_J) )],[refute_0_233,refute_0_239]) ).
cnf(refute_0_241,plain,
le(s(n0),perm(skolemFOFtoCNF_J)),
inference(resolve,[$cnf( le(skolemFOFtoCNF_J,n) )],[refute_0_236,refute_0_240]) ).
cnf(refute_0_242,plain,
minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))),
inference(resolve,[$cnf( le(s(n0),perm(skolemFOFtoCNF_J)) )],[refute_0_241,refute_0_238]) ).
cnf(refute_0_243,plain,
( plus(I,J) != plus(K,L)
| minus(I,K) = minus(L,J) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_244,plain,
( plus(X_222,X_223) != plus(X_224,X_225)
| minus(X_222,X_224) = minus(X_225,X_223) ),
inference(subst,[],[refute_0_243:[bind(I,$fot(X_222)),bind(J,$fot(X_223)),bind(K,$fot(X_224)),bind(L,$fot(X_225))]]) ).
cnf(refute_0_245,plain,
plus(X_225,X_224) = plus(X_224,X_225),
inference(subst,[],[refute_0_10:[bind(J,$fot(X_224)),bind(L,$fot(X_225))]]) ).
cnf(refute_0_246,plain,
( plus(X_225,X_224) != plus(X_224,X_225)
| plus(X_224,X_225) = plus(X_225,X_224) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(plus(X_225,X_224))),bind(Y0,$fot(plus(X_224,X_225)))]]) ).
cnf(refute_0_247,plain,
plus(X_224,X_225) = plus(X_225,X_224),
inference(resolve,[$cnf( $equal(plus(X_225,X_224),plus(X_224,X_225)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
( plus(X_222,X_223) != plus(X_225,X_224)
| plus(X_224,X_225) != plus(X_225,X_224)
| plus(X_222,X_223) = plus(X_224,X_225) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(X_222,X_223),plus(X_224,X_225)) ),[1],$fot(plus(X_225,X_224))]]) ).
cnf(refute_0_249,plain,
( plus(X_222,X_223) != plus(X_225,X_224)
| plus(X_222,X_223) = plus(X_224,X_225) ),
inference(resolve,[$cnf( $equal(plus(X_224,X_225),plus(X_225,X_224)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( plus(X_222,X_223) != plus(X_225,X_224)
| minus(X_222,X_224) = minus(X_225,X_223) ),
inference(resolve,[$cnf( $equal(plus(X_222,X_223),plus(X_224,X_225)) )],[refute_0_249,refute_0_244]) ).
cnf(refute_0_251,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))
| minus(X_222,perm(q(skolemFOFtoCNF_I))) = minus(skolemFOFtoCNF_J,X_223) ),
inference(subst,[],[refute_0_250:[bind(X_224,$fot(perm(q(skolemFOFtoCNF_I)))),bind(X_225,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_252,plain,
( minus(perm(J),perm(I)) != minus(X_219,X_217)
| plus(perm(J),X_217) = plus(perm(I),X_219) ),
inference(subst,[],[refute_0_7:[bind(I,$fot(perm(J))),bind(J,$fot(X_217)),bind(K,$fot(perm(I))),bind(L,$fot(X_219))]]) ).
cnf(refute_0_253,plain,
( minus(I,J) != minus(X_219,X_217)
| minus(perm(J),perm(I)) != minus(I,J)
| minus(perm(J),perm(I)) = minus(X_219,X_217) ),
introduced(tautology,[equality,[$cnf( $equal(minus(perm(J),perm(I)),minus(I,J)) ),[1],$fot(minus(X_219,X_217))]]) ).
cnf(refute_0_254,plain,
( minus(I,J) != minus(X_219,X_217)
| minus(perm(J),perm(I)) = minus(X_219,X_217) ),
inference(resolve,[$cnf( $equal(minus(perm(J),perm(I)),minus(I,J)) )],[refute_0_63,refute_0_253]) ).
cnf(refute_0_255,plain,
( minus(I,J) != minus(X_219,X_217)
| plus(perm(J),X_217) = plus(perm(I),X_219) ),
inference(resolve,[$cnf( $equal(minus(perm(J),perm(I)),minus(X_219,X_217)) )],[refute_0_254,refute_0_252]) ).
cnf(refute_0_256,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) != minus(X_1586,X_1585)
| plus(perm(q(skolemFOFtoCNF_J)),X_1585) = plus(perm(q(skolemFOFtoCNF_I)),X_1586) ),
inference(subst,[],[refute_0_255:[bind(I,$fot(q(skolemFOFtoCNF_I))),bind(J,$fot(q(skolemFOFtoCNF_J))),bind(X_217,$fot(X_1585)),bind(X_219,$fot(X_1586))]]) ).
cnf(refute_0_257,plain,
( plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) != plus(K,L)
| minus(skolemFOFtoCNF_J,K) = minus(L,q(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_243:[bind(I,$fot(skolemFOFtoCNF_J)),bind(J,$fot(q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_258,plain,
( minus(I,K) != minus(L,perm(perm(skolemFOFtoCNF_I)))
| plus(I,perm(perm(skolemFOFtoCNF_I))) = plus(K,L) ),
inference(subst,[],[refute_0_7:[bind(J,$fot(perm(perm(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_259,plain,
minus(I,perm(perm(skolemFOFtoCNF_I))) = minus(perm(perm(perm(skolemFOFtoCNF_I))),perm(I)),
inference(subst,[],[refute_0_61:[bind(J,$fot(perm(perm(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_260,plain,
( minus(I,perm(perm(skolemFOFtoCNF_I))) != minus(perm(perm(perm(skolemFOFtoCNF_I))),perm(I))
| perm(perm(perm(skolemFOFtoCNF_I))) != perm(skolemFOFtoCNF_I)
| minus(I,perm(perm(skolemFOFtoCNF_I))) = minus(perm(skolemFOFtoCNF_I),perm(I)) ),
introduced(tautology,[equality,[$cnf( $equal(minus(I,perm(perm(skolemFOFtoCNF_I))),minus(perm(perm(perm(skolemFOFtoCNF_I))),perm(I))) ),[1,0],$fot(perm(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_261,plain,
( minus(I,perm(perm(skolemFOFtoCNF_I))) != minus(perm(perm(perm(skolemFOFtoCNF_I))),perm(I))
| minus(I,perm(perm(skolemFOFtoCNF_I))) = minus(perm(skolemFOFtoCNF_I),perm(I)) ),
inference(resolve,[$cnf( $equal(perm(perm(perm(skolemFOFtoCNF_I))),perm(skolemFOFtoCNF_I)) )],[refute_0_86,refute_0_260]) ).
cnf(refute_0_262,plain,
minus(I,perm(perm(skolemFOFtoCNF_I))) = minus(perm(skolemFOFtoCNF_I),perm(I)),
inference(resolve,[$cnf( $equal(minus(I,perm(perm(skolemFOFtoCNF_I))),minus(perm(perm(perm(skolemFOFtoCNF_I))),perm(I))) )],[refute_0_259,refute_0_261]) ).
cnf(refute_0_263,plain,
minus(perm(skolemFOFtoCNF_I),perm(I)) = minus(I,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_63:[bind(J,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_264,plain,
( minus(I,perm(perm(skolemFOFtoCNF_I))) != minus(perm(skolemFOFtoCNF_I),perm(I))
| minus(perm(skolemFOFtoCNF_I),perm(I)) != minus(I,skolemFOFtoCNF_I)
| minus(I,perm(perm(skolemFOFtoCNF_I))) = minus(I,skolemFOFtoCNF_I) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,perm(perm(skolemFOFtoCNF_I))),minus(I,skolemFOFtoCNF_I)) ),[0],$fot(minus(perm(skolemFOFtoCNF_I),perm(I)))]]) ).
cnf(refute_0_265,plain,
( minus(I,perm(perm(skolemFOFtoCNF_I))) != minus(perm(skolemFOFtoCNF_I),perm(I))
| minus(I,perm(perm(skolemFOFtoCNF_I))) = minus(I,skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( $equal(minus(perm(skolemFOFtoCNF_I),perm(I)),minus(I,skolemFOFtoCNF_I)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
minus(I,perm(perm(skolemFOFtoCNF_I))) = minus(I,skolemFOFtoCNF_I),
inference(resolve,[$cnf( $equal(minus(I,perm(perm(skolemFOFtoCNF_I))),minus(perm(skolemFOFtoCNF_I),perm(I))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
minus(L,perm(perm(skolemFOFtoCNF_I))) = minus(L,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_266:[bind(I,$fot(L))]]) ).
cnf(refute_0_268,plain,
( minus(I,K) != minus(L,skolemFOFtoCNF_I)
| minus(L,perm(perm(skolemFOFtoCNF_I))) != minus(L,skolemFOFtoCNF_I)
| minus(I,K) = minus(L,perm(perm(skolemFOFtoCNF_I))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,K),minus(L,perm(perm(skolemFOFtoCNF_I)))) ),[1],$fot(minus(L,skolemFOFtoCNF_I))]]) ).
cnf(refute_0_269,plain,
( minus(I,K) != minus(L,skolemFOFtoCNF_I)
| minus(I,K) = minus(L,perm(perm(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(minus(L,perm(perm(skolemFOFtoCNF_I))),minus(L,skolemFOFtoCNF_I)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
( minus(I,K) != minus(L,skolemFOFtoCNF_I)
| plus(I,perm(perm(skolemFOFtoCNF_I))) = plus(K,L) ),
inference(resolve,[$cnf( $equal(minus(I,K),minus(L,perm(perm(skolemFOFtoCNF_I)))) )],[refute_0_269,refute_0_258]) ).
cnf(refute_0_271,plain,
plus(I,perm(perm(skolemFOFtoCNF_I))) = plus(skolemFOFtoCNF_I,I),
inference(subst,[],[refute_0_166:[bind(J,$fot(I)),bind(X_240,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_272,plain,
( plus(I,perm(perm(skolemFOFtoCNF_I))) != plus(K,L)
| plus(I,perm(perm(skolemFOFtoCNF_I))) != plus(skolemFOFtoCNF_I,I)
| plus(skolemFOFtoCNF_I,I) = plus(K,L) ),
introduced(tautology,[equality,[$cnf( $equal(plus(I,perm(perm(skolemFOFtoCNF_I))),plus(K,L)) ),[0],$fot(plus(skolemFOFtoCNF_I,I))]]) ).
cnf(refute_0_273,plain,
( plus(I,perm(perm(skolemFOFtoCNF_I))) != plus(K,L)
| plus(skolemFOFtoCNF_I,I) = plus(K,L) ),
inference(resolve,[$cnf( $equal(plus(I,perm(perm(skolemFOFtoCNF_I))),plus(skolemFOFtoCNF_I,I)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
( minus(I,K) != minus(L,skolemFOFtoCNF_I)
| plus(skolemFOFtoCNF_I,I) = plus(K,L) ),
inference(resolve,[$cnf( $equal(plus(I,perm(perm(skolemFOFtoCNF_I))),plus(K,L)) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) != minus(X_1537,skolemFOFtoCNF_I)
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(q(skolemFOFtoCNF_J),X_1537) ),
inference(subst,[],[refute_0_274:[bind(I,$fot(q(skolemFOFtoCNF_I))),bind(K,$fot(q(skolemFOFtoCNF_J))),bind(L,$fot(X_1537))]]) ).
cnf(refute_0_276,plain,
( minus(I,J) != minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| minus(I,q(skolemFOFtoCNF_J)) = minus(J,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_70:[bind(K,$fot(q(skolemFOFtoCNF_J))),bind(L,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_277,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I))
| minus(X_222,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,X_223) ),
inference(subst,[],[refute_0_250:[bind(X_224,$fot(q(skolemFOFtoCNF_I))),bind(X_225,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_278,plain,
( minus(I,K) != minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(I,skolemFOFtoCNF_J) = plus(K,q(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_7:[bind(J,$fot(skolemFOFtoCNF_J)),bind(L,$fot(q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_279,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) != minus(X_228,X_229)
| minus(q(skolemFOFtoCNF_I),X_228) = minus(q(skolemFOFtoCNF_J),X_229) ),
inference(subst,[],[refute_0_70:[bind(I,$fot(q(skolemFOFtoCNF_I))),bind(J,$fot(q(skolemFOFtoCNF_J))),bind(K,$fot(X_228)),bind(L,$fot(X_229))]]) ).
cnf(refute_0_280,plain,
( plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) != plus(X_224,X_225)
| minus(skolemFOFtoCNF_J,X_224) = minus(X_225,q(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_243:[bind(I,$fot(skolemFOFtoCNF_J)),bind(J,$fot(q(skolemFOFtoCNF_J))),bind(K,$fot(X_224)),bind(L,$fot(X_225))]]) ).
cnf(refute_0_281,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J)
| queens_q ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_282,plain,
plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),
inference(subst,[],[refute_0_15:[bind(J,$fot(q(skolemFOFtoCNF_I))),bind(L,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_283,plain,
( plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) != plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) ),
introduced(tautology,[equality,[$cnf( $equal(plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I),plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) ),[0],$fot(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_284,plain,
( plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) != plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),
inference(subst,[],[refute_0_15:[bind(J,$fot(q(skolemFOFtoCNF_J))),bind(L,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_286,plain,
( plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) != plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
introduced(tautology,[equality,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) ),[1],$fot(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_287,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J),plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) != plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J)
| queens_q ),
inference(resolve,[$cnf( $equal(plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I),plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) )],[refute_0_281,refute_0_288]) ).
cnf(refute_0_290,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( queens_q )],[refute_0_289,refute_0_2]) ).
cnf(refute_0_291,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)))),bind(Y0,$fot(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_292,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(X_224,X_225)
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = plus(X_224,X_225) ),
introduced(tautology,[equality,[$cnf( $equal(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) ),[1],$fot(plus(X_224,X_225))]]) ).
cnf(refute_0_294,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(X_224,X_225)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = plus(X_224,X_225)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(X_224,X_225)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| minus(skolemFOFtoCNF_J,X_224) = minus(X_225,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),plus(X_224,X_225)) )],[refute_0_294,refute_0_280]) ).
cnf(refute_0_296,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_295:[bind(X_224,$fot(skolemFOFtoCNF_I)),bind(X_225,$fot(q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_297,plain,
plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),
introduced(tautology,[refl,[$fot(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_298,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) )],[refute_0_297,refute_0_296]) ).
cnf(refute_0_299,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I))),bind(Y0,$fot(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_300,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I),minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) != minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_228,X_229)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(X_228,X_229) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(X_228,X_229)) ),[0],$fot(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I))]]) ).
cnf(refute_0_302,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_228,X_229)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(X_228,X_229)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_228,X_229)
| minus(q(skolemFOFtoCNF_I),X_228) = minus(q(skolemFOFtoCNF_J),X_229)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(X_228,X_229)) )],[refute_0_302,refute_0_279]) ).
cnf(refute_0_304,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_303:[bind(X_228,$fot(skolemFOFtoCNF_J)),bind(X_229,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_305,plain,
minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) = minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I),
introduced(tautology,[refl,[$fot(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I))]]) ).
cnf(refute_0_306,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I),minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)) )],[refute_0_305,refute_0_304]) ).
cnf(refute_0_307,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) != minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I))),bind(Y0,$fot(minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_308,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I),minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
( minus(I,K) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)
| minus(I,K) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,K),minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) ),[1],$fot(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I))]]) ).
cnf(refute_0_310,plain,
( minus(I,K) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)
| minus(I,K) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J),minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
( minus(I,K) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| plus(I,skolemFOFtoCNF_J) = plus(K,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(I,K),minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) )],[refute_0_310,refute_0_278]) ).
cnf(refute_0_312,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_311:[bind(I,$fot(q(skolemFOFtoCNF_I))),bind(K,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_313,plain,
minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I),
introduced(tautology,[refl,[$fot(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I))]]) ).
cnf(refute_0_314,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I),minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_I)) )],[refute_0_313,refute_0_312]) ).
cnf(refute_0_315,plain,
plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)),
inference(subst,[],[refute_0_15:[bind(J,$fot(q(skolemFOFtoCNF_I))),bind(L,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_316,plain,
( plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) != plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)) ),
introduced(tautology,[equality,[$cnf( $equal(plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))) ),[0],$fot(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_317,plain,
( plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J),plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| plus(X_222,X_223) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(X_222,X_223),plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I))) ),[1],$fot(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_320,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| plus(X_222,X_223) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| minus(X_222,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,X_223)
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(X_222,X_223),plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_I))) )],[refute_0_320,refute_0_277]) ).
cnf(refute_0_322,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))
| minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_321:[bind(X_222,$fot(skolemFOFtoCNF_I)),bind(X_223,$fot(q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_323,plain,
plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)),
introduced(tautology,[refl,[$fot(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_324,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_J))) )],[refute_0_323,refute_0_322]) ).
cnf(refute_0_325,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) != minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J))),bind(Y0,$fot(minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_326,plain,
( minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J),minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
( minus(I,J) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| minus(I,J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,J),minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)) ),[1],$fot(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J))]]) ).
cnf(refute_0_328,plain,
( minus(I,J) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| minus(I,J) = minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I),minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( minus(I,J) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| minus(I,q(skolemFOFtoCNF_J)) = minus(J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(I,J),minus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_I)) )],[refute_0_328,refute_0_276]) ).
cnf(refute_0_330,plain,
( minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) != minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_329:[bind(I,$fot(q(skolemFOFtoCNF_I))),bind(J,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_331,plain,
minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J),
introduced(tautology,[refl,[$fot(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J))]]) ).
cnf(refute_0_332,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J),minus(q(skolemFOFtoCNF_I),skolemFOFtoCNF_J)) )],[refute_0_331,refute_0_330]) ).
cnf(refute_0_333,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) != minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_1537,skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(X_1537,skolemFOFtoCNF_I) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(X_1537,skolemFOFtoCNF_I)) ),[0],$fot(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I))]]) ).
cnf(refute_0_334,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_1537,skolemFOFtoCNF_I)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(X_1537,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_1537,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(q(skolemFOFtoCNF_J),X_1537)
| q(skolemFOFtoCNF_I) = q(skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(X_1537,skolemFOFtoCNF_I)) )],[refute_0_334,refute_0_275]) ).
cnf(refute_0_336,plain,
( p(I) != p(J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I)
| ~ queens_p ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_337,plain,
( p(I) != p(J)
| ~ le(I,n)
| ~ le(J,n)
| ~ le(s(I),J)
| ~ le(s(n0),I) ),
inference(resolve,[$cnf( queens_p )],[refute_0_24,refute_0_336]) ).
cnf(refute_0_338,plain,
( p(perm(skolemFOFtoCNF_J)) != p(perm(skolemFOFtoCNF_I))
| ~ le(perm(skolemFOFtoCNF_I),n)
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J))
| ~ le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_337:[bind(I,$fot(perm(skolemFOFtoCNF_J))),bind(J,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_339,plain,
( p(perm(skolemFOFtoCNF_J)) != p(perm(skolemFOFtoCNF_I))
| ~ le(perm(skolemFOFtoCNF_I),n)
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( le(s(perm(skolemFOFtoCNF_J)),perm(skolemFOFtoCNF_I)) )],[refute_0_5,refute_0_338]) ).
cnf(refute_0_340,plain,
p(perm(skolemFOFtoCNF_J)) = q(skolemFOFtoCNF_J),
inference(subst,[],[refute_0_29:[bind(I,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_341,plain,
( p(perm(skolemFOFtoCNF_J)) != q(skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_J) != p(perm(skolemFOFtoCNF_I))
| p(perm(skolemFOFtoCNF_J)) = p(perm(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(p(perm(skolemFOFtoCNF_J)),p(perm(skolemFOFtoCNF_I))) ),[0],$fot(q(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_342,plain,
( q(skolemFOFtoCNF_J) != p(perm(skolemFOFtoCNF_I))
| p(perm(skolemFOFtoCNF_J)) = p(perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(p(perm(skolemFOFtoCNF_J)),q(skolemFOFtoCNF_J)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
( p(perm(skolemFOFtoCNF_I)) != q(skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_J) != q(skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_J) = p(perm(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(q(skolemFOFtoCNF_J),p(perm(skolemFOFtoCNF_I))) ),[1],$fot(q(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_344,plain,
( q(skolemFOFtoCNF_J) != q(skolemFOFtoCNF_I)
| q(skolemFOFtoCNF_J) = p(perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(p(perm(skolemFOFtoCNF_I)),q(skolemFOFtoCNF_I)) )],[refute_0_94,refute_0_343]) ).
cnf(refute_0_345,plain,
( q(skolemFOFtoCNF_J) != q(skolemFOFtoCNF_I)
| p(perm(skolemFOFtoCNF_J)) = p(perm(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(q(skolemFOFtoCNF_J),p(perm(skolemFOFtoCNF_I))) )],[refute_0_344,refute_0_342]) ).
cnf(refute_0_346,plain,
( q(skolemFOFtoCNF_J) != q(skolemFOFtoCNF_I)
| ~ le(perm(skolemFOFtoCNF_I),n)
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(p(perm(skolemFOFtoCNF_J)),p(perm(skolemFOFtoCNF_I))) )],[refute_0_345,refute_0_339]) ).
cnf(refute_0_347,plain,
( q(skolemFOFtoCNF_J) != q(skolemFOFtoCNF_I)
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_I),n) )],[refute_0_47,refute_0_346]) ).
cnf(refute_0_348,plain,
( q(skolemFOFtoCNF_J) != q(skolemFOFtoCNF_I)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_J),n) )],[refute_0_237,refute_0_347]) ).
cnf(refute_0_349,plain,
q(skolemFOFtoCNF_J) != q(skolemFOFtoCNF_I),
inference(resolve,[$cnf( le(s(n0),perm(skolemFOFtoCNF_J)) )],[refute_0_241,refute_0_348]) ).
cnf(refute_0_350,plain,
( q(skolemFOFtoCNF_I) != q(skolemFOFtoCNF_J)
| q(skolemFOFtoCNF_J) = q(skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(q(skolemFOFtoCNF_I))),bind(Y0,$fot(q(skolemFOFtoCNF_J)))]]) ).
cnf(refute_0_351,plain,
q(skolemFOFtoCNF_I) != q(skolemFOFtoCNF_J),
inference(resolve,[$cnf( $equal(q(skolemFOFtoCNF_J),q(skolemFOFtoCNF_I)) )],[refute_0_350,refute_0_349]) ).
cnf(refute_0_352,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_1537,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(q(skolemFOFtoCNF_J),X_1537) ),
inference(resolve,[$cnf( $equal(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) )],[refute_0_335,refute_0_351]) ).
cnf(refute_0_353,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_352:[bind(X_1537,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_354,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I),minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)) )],[refute_0_305,refute_0_353]) ).
cnf(refute_0_355,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),plus(q(skolemFOFtoCNF_J),skolemFOFtoCNF_J)) )],[refute_0_354,refute_0_287]) ).
cnf(refute_0_356,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))) )],[refute_0_355,refute_0_291]) ).
cnf(refute_0_357,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(K,L)
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = plus(K,L) ),
introduced(tautology,[equality,[$cnf( $equal(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) ),[1],$fot(plus(K,L))]]) ).
cnf(refute_0_358,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(K,L)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = plus(K,L) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(K,L)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| minus(skolemFOFtoCNF_J,K) = minus(L,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),plus(K,L)) )],[refute_0_358,refute_0_257]) ).
cnf(refute_0_360,plain,
( plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_359:[bind(K,$fot(skolemFOFtoCNF_I)),bind(L,$fot(q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_361,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),plus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) )],[refute_0_297,refute_0_360]) ).
cnf(refute_0_362,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I),minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))) )],[refute_0_361,refute_0_299]) ).
cnf(refute_0_363,plain,
( minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) != minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_1586,X_1585)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(X_1586,X_1585) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(X_1586,X_1585)) ),[0],$fot(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I))]]) ).
cnf(refute_0_364,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_1586,X_1585)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(X_1586,X_1585)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(X_1586,X_1585)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(perm(q(skolemFOFtoCNF_J)),X_1585) = plus(perm(q(skolemFOFtoCNF_I)),X_1586) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(X_1586,X_1585)) )],[refute_0_364,refute_0_256]) ).
cnf(refute_0_366,plain,
( minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I) != minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I) = plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_365:[bind(X_1585,$fot(skolemFOFtoCNF_I)),bind(X_1586,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_367,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I) = plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I),minus(skolemFOFtoCNF_J,skolemFOFtoCNF_I)) )],[refute_0_305,refute_0_366]) ).
cnf(refute_0_368,plain,
plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I) = plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))),
inference(subst,[],[refute_0_15:[bind(J,$fot(perm(q(skolemFOFtoCNF_J)))),bind(L,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_369,plain,
( plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I) != plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)
| plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I) != plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))
| plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) = plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J) ),
introduced(tautology,[equality,[$cnf( $equal(plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I),plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)) ),[0],$fot(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_370,plain,
( plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I) != plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) = plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( $equal(plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I),plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J) = plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))),
inference(subst,[],[refute_0_15:[bind(J,$fot(perm(q(skolemFOFtoCNF_I)))),bind(L,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_372,plain,
( plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J) != plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))
| plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) != plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) = plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) ),
introduced(tautology,[equality,[$cnf( $equal(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))),plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)) ),[1],$fot(plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_373,plain,
( plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) != plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) = plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J),plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I) != plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)
| plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) = plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))),plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) = plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(plus(perm(q(skolemFOFtoCNF_J)),skolemFOFtoCNF_I),plus(perm(q(skolemFOFtoCNF_I)),skolemFOFtoCNF_J)) )],[refute_0_367,refute_0_374]) ).
cnf(refute_0_376,plain,
( plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) != plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))
| plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) = plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))))),bind(Y0,$fot(plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))))]]) ).
cnf(refute_0_377,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) = plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))),plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))
| plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) != plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))
| plus(X_222,X_223) = plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(X_222,X_223),plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))) ),[1],$fot(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_379,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| plus(X_222,X_223) = plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I))),plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( plus(X_222,X_223) != plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))
| minus(X_222,perm(q(skolemFOFtoCNF_I))) = minus(skolemFOFtoCNF_J,X_223)
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(X_222,X_223),plus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_379,refute_0_251]) ).
cnf(refute_0_381,plain,
( plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) != plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))
| minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) = minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J)))
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_380:[bind(X_222,$fot(skolemFOFtoCNF_I)),bind(X_223,$fot(perm(q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_382,plain,
plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))) = plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))),
introduced(tautology,[refl,[$fot(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_383,plain,
( minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) = minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J)))
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J))),plus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_J)))) )],[refute_0_382,refute_0_381]) ).
cnf(refute_0_384,plain,
( minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) != minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J)))
| minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))))),bind(Y0,$fot(minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J)))))]]) ).
cnf(refute_0_385,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))),minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
introduced(tautology,[equality,[$cnf( $equal(minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) ),[1],$fot(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_387,plain,
( minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
( minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) != minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))
| minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,perm(q(skolemFOFtoCNF_J))),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_387,refute_0_242]) ).
cnf(refute_0_389,plain,
minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))) = minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))),
introduced(tautology,[refl,[$fot(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))))]]) ).
cnf(refute_0_390,plain,
minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I))),minus(skolemFOFtoCNF_I,perm(q(skolemFOFtoCNF_I)))) )],[refute_0_389,refute_0_388]) ).
cnf(refute_0_391,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))
| minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)))),bind(Y0,$fot(minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_392,plain,
minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
( minus(I,J) != minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) != minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| minus(I,J) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,J),minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))) ),[1],$fot(minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_394,plain,
( minus(I,J) != minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| minus(I,J) = minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J)),minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
( minus(I,J) != minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| minus(I,skolemFOFtoCNF_J) = minus(J,q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(minus(I,J),minus(skolemFOFtoCNF_J,q(skolemFOFtoCNF_J))) )],[refute_0_394,refute_0_179]) ).
cnf(refute_0_396,plain,
( minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) != minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))
| minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) ),
inference(subst,[],[refute_0_395:[bind(I,$fot(skolemFOFtoCNF_I)),bind(J,$fot(q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_397,plain,
minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)) = minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),
introduced(tautology,[refl,[$fot(minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_398,plain,
minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I)),minus(skolemFOFtoCNF_I,q(skolemFOFtoCNF_I))) )],[refute_0_397,refute_0_396]) ).
cnf(refute_0_399,plain,
( minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J) != minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_13:[bind(X0,$fot(minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J))),bind(Y0,$fot(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))))]]) ).
cnf(refute_0_400,plain,
minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) = minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J),minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
( minus(I,X_2471) != minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J)
| minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) != minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J)
| minus(I,X_2471) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus(I,X_2471),minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))) ),[1],$fot(minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J))]]) ).
cnf(refute_0_402,plain,
( minus(I,X_2471) != minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J)
| minus(I,X_2471) = minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J)),minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( minus(I,X_2471) != minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J)
| plus(perm(X_2471),q(skolemFOFtoCNF_J)) = plus(q(skolemFOFtoCNF_I),perm(I)) ),
inference(resolve,[$cnf( $equal(minus(I,X_2471),minus(q(skolemFOFtoCNF_I),q(skolemFOFtoCNF_J))) )],[refute_0_402,refute_0_178]) ).
cnf(refute_0_404,plain,
( minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J) != minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J)
| plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) = plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I)) ),
inference(subst,[],[refute_0_403:[bind(I,$fot(skolemFOFtoCNF_I)),bind(X_2471,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_405,plain,
minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J) = minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J),
introduced(tautology,[refl,[$fot(minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J))]]) ).
cnf(refute_0_406,plain,
plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) = plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( $equal(minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J),minus(skolemFOFtoCNF_I,skolemFOFtoCNF_J)) )],[refute_0_405,refute_0_404]) ).
cnf(refute_0_407,plain,
plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I)) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)),
inference(subst,[],[refute_0_15:[bind(J,$fot(q(skolemFOFtoCNF_I))),bind(L,$fot(perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_408,plain,
( plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) != plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I))
| plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) ),[0],$fot(plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_409,plain,
( plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) != plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I))
| plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I)),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)),
inference(resolve,[$cnf( $equal(plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)),plus(q(skolemFOFtoCNF_I),perm(skolemFOFtoCNF_I))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
( plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
introduced(tautology,[equality,[$cnf( $equal(plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) ),[1],$fot(plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_412,plain,
( plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) ),
inference(resolve,[$cnf( $equal(plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
( plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) != plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))
| ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(perm(skolemFOFtoCNF_J),q(skolemFOFtoCNF_J)),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) )],[refute_0_412,refute_0_142]) ).
cnf(refute_0_414,plain,
plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)) = plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)),
introduced(tautology,[refl,[$fot(plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)))]]) ).
cnf(refute_0_415,plain,
( ~ le(perm(skolemFOFtoCNF_J),n)
| ~ le(s(n0),perm(skolemFOFtoCNF_J)) ),
inference(resolve,[$cnf( $equal(plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I)),plus(perm(skolemFOFtoCNF_I),q(skolemFOFtoCNF_I))) )],[refute_0_414,refute_0_413]) ).
cnf(refute_0_416,plain,
~ le(s(n0),perm(skolemFOFtoCNF_J)),
inference(resolve,[$cnf( le(perm(skolemFOFtoCNF_J),n) )],[refute_0_237,refute_0_415]) ).
cnf(refute_0_417,plain,
$false,
inference(resolve,[$cnf( le(s(n0),perm(skolemFOFtoCNF_J)) )],[refute_0_241,refute_0_416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ133+2 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 01:44:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 24.96/25.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.96/25.17
% 24.96/25.17 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 25.04/25.24
%------------------------------------------------------------------------------