%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET579+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : Tue Jul 19 03:35:34 EDT 2022
% Result : Theorem 10.87s 11.05s
% Output : CNFRefutation 10.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 40
% Syntax : Number of formulae : 416 ( 121 unt; 0 def)
% Number of atoms : 818 ( 250 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 718 ( 316 ~; 366 |; 15 &)
% ( 17 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 751 ( 117 sgn 71 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(difference_defn,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ) ).
fof(equal_defn,axiom,
! [B,C] :
( B = C
<=> ( subset(B,C)
& subset(C,B) ) ) ).
fof(subset_defn,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ) ).
fof(reflexivity_of_subset,axiom,
! [B] : subset(B,B) ).
fof(prove_th20,conjecture,
! [B,C,D] :
( ! [E] :
( member(E,B)
<=> ( member(E,C)
& ~ member(E,D) ) )
=> B = difference(C,D) ) ).
fof(subgoal_0,plain,
! [B,C,D] :
( ! [E] :
( member(E,B)
<=> ( member(E,C)
& ~ member(E,D) ) )
=> B = difference(C,D) ),
inference(strip,[],[prove_th20]) ).
fof(negate_0_0,plain,
~ ! [B,C,D] :
( ! [E] :
( member(E,B)
<=> ( member(E,C)
& ~ member(E,D) ) )
=> B = difference(C,D) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(canonicalize,[],[difference_defn]) ).
fof(normalize_0_1,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B,C,D] :
( ( ~ member(D,C)
| ~ member(D,difference(B,C)) )
& ( ~ member(D,difference(B,C))
| member(D,B) )
& ( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B,C,D] :
( ~ member(D,C)
| ~ member(D,difference(B,C)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(canonicalize,[],[subset_defn]) ).
fof(normalize_0_5,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(simplify,[],[normalize_0_4,normalize_0_1]) ).
fof(normalize_0_6,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B,C,D] :
( ( ~ member(D,difference(B,C))
| ~ subset(B,C) )
& ( member(skolemFOFtoCNF_D(B,C),difference(B,C))
| subset(B,C) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B,C] :
( member(skolemFOFtoCNF_D(B,C),difference(B,C))
| subset(B,C) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
| ~ subset(B,C) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_11,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(canonicalize,[],[equal_defn]) ).
fof(normalize_0_12,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [B,C] :
( ( B != C
| subset(B,C) )
& ( B != C
| subset(C,B) )
& ( ~ subset(B,C)
| ~ subset(C,B)
| B = C ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [B,C] :
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [B] : subset(B,B),
inference(canonicalize,[],[reflexivity_of_subset]) ).
fof(normalize_0_16,plain,
! [B] : subset(B,B),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
? [B,C,D] :
( B != difference(C,D)
& ! [E] :
( ~ member(E,B)
<=> ( ~ member(E,C)
| member(E,D) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_18,plain,
( skolemFOFtoCNF_B != difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)
& ! [E] :
( ~ member(E,skolemFOFtoCNF_B)
<=> ( ~ member(E,skolemFOFtoCNF_C)
| member(E,skolemFOFtoCNF_D_1) ) ) ),
inference(skolemize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [E] :
( ~ member(E,skolemFOFtoCNF_B)
<=> ( ~ member(E,skolemFOFtoCNF_C)
| member(E,skolemFOFtoCNF_D_1) ) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [E] :
( ~ member(E,skolemFOFtoCNF_B)
<=> ( ~ member(E,skolemFOFtoCNF_C)
| member(E,skolemFOFtoCNF_D_1) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [E] :
( ( ~ member(E,skolemFOFtoCNF_B)
| ~ member(E,skolemFOFtoCNF_D_1) )
& ( ~ member(E,skolemFOFtoCNF_B)
| member(E,skolemFOFtoCNF_C) )
& ( ~ member(E,skolemFOFtoCNF_C)
| member(E,skolemFOFtoCNF_B)
| member(E,skolemFOFtoCNF_D_1) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [E] :
( ~ member(E,skolemFOFtoCNF_B)
| member(E,skolemFOFtoCNF_C) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [B,C,D] :
( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_24,plain,
! [E] :
( ~ member(E,skolemFOFtoCNF_C)
| member(E,skolemFOFtoCNF_B)
| member(E,skolemFOFtoCNF_D_1) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_25,plain,
! [E] :
( ~ member(E,skolemFOFtoCNF_B)
| ~ member(E,skolemFOFtoCNF_D_1) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_26,plain,
skolemFOFtoCNF_B != difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),
inference(conjunct,[],[normalize_0_18]) ).
cnf(refute_0_0,plain,
( ~ member(D,C)
| ~ member(D,difference(B,C)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),X_15),C)
| ~ member(skolemFOFtoCNF_D(difference(B,C),X_15),difference(B,C)) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(skolemFOFtoCNF_D(difference(B,C),X_15)))]]) ).
cnf(refute_0_2,plain,
( member(skolemFOFtoCNF_D(B,C),difference(B,C))
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_3,plain,
( member(skolemFOFtoCNF_D(X_11,X_12),difference(X_11,X_12))
| subset(X_11,X_12) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_4,plain,
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ member(skolemFOFtoCNF_D(X_11,X_12),difference(X_11,X_12))
| member(skolemFOFtoCNF_D(X_11,X_12),X_11) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_11)),bind(C,$fot(X_12)),bind(D,$fot(skolemFOFtoCNF_D(X_11,X_12)))]]) ).
cnf(refute_0_6,plain,
( member(skolemFOFtoCNF_D(X_11,X_12),X_11)
| subset(X_11,X_12) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_11,X_12),difference(X_11,X_12)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( member(skolemFOFtoCNF_D(difference(B,C),X_15),difference(B,C))
| subset(difference(B,C),X_15) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(difference(B,C))),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_8,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),X_15),C)
| subset(difference(B,C),X_15) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,C),X_15),difference(B,C)) )],[refute_0_7,refute_0_1]) ).
cnf(refute_0_9,plain,
( ~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_8:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(skolemFOFtoCNF_D_1)),bind(X_15,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_10,plain,
( ~ member(D,difference(B,C))
| ~ subset(B,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
( ~ member(D,difference(B,difference(X_132,X_132)))
| ~ subset(B,difference(X_132,X_132)) ),
inference(subst,[],[refute_0_10:[bind(C,$fot(difference(X_132,X_132)))]]) ).
cnf(refute_0_12,plain,
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ subset(X_68,difference(X_68,X_69))
| ~ subset(difference(X_68,X_69),X_68)
| X_68 = difference(X_68,X_69) ),
inference(subst,[],[refute_0_12:[bind(B,$fot(X_68)),bind(C,$fot(difference(X_68,X_69)))]]) ).
cnf(refute_0_14,plain,
( member(skolemFOFtoCNF_D(X_6,X_7),difference(X_6,X_7))
| subset(X_6,X_7) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_6)),bind(C,$fot(X_7))]]) ).
cnf(refute_0_15,plain,
( ~ member(skolemFOFtoCNF_D(X_6,X_7),X_7)
| ~ member(skolemFOFtoCNF_D(X_6,X_7),difference(X_6,X_7)) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(X_6)),bind(C,$fot(X_7)),bind(D,$fot(skolemFOFtoCNF_D(X_6,X_7)))]]) ).
cnf(refute_0_16,plain,
( ~ member(skolemFOFtoCNF_D(X_6,X_7),X_7)
| subset(X_6,X_7) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_6,X_7),difference(X_6,X_7)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ member(skolemFOFtoCNF_D(difference(X_65,X_66),X_65),X_65)
| subset(difference(X_65,X_66),X_65) ),
inference(subst,[],[refute_0_16:[bind(X_6,$fot(difference(X_65,X_66))),bind(X_7,$fot(X_65))]]) ).
cnf(refute_0_18,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),X_15),difference(B,C))
| member(skolemFOFtoCNF_D(difference(B,C),X_15),B) ),
inference(subst,[],[refute_0_4:[bind(D,$fot(skolemFOFtoCNF_D(difference(B,C),X_15)))]]) ).
cnf(refute_0_19,plain,
( member(skolemFOFtoCNF_D(difference(B,C),X_15),B)
| subset(difference(B,C),X_15) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,C),X_15),difference(B,C)) )],[refute_0_7,refute_0_18]) ).
cnf(refute_0_20,plain,
( member(skolemFOFtoCNF_D(difference(X_65,X_66),X_65),X_65)
| subset(difference(X_65,X_66),X_65) ),
inference(subst,[],[refute_0_19:[bind(B,$fot(X_65)),bind(C,$fot(X_66)),bind(X_15,$fot(X_65))]]) ).
cnf(refute_0_21,plain,
subset(difference(X_65,X_66),X_65),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(X_65,X_66),X_65),X_65) )],[refute_0_20,refute_0_17]) ).
cnf(refute_0_22,plain,
subset(difference(X_68,X_69),X_68),
inference(subst,[],[refute_0_21:[bind(X_65,$fot(X_68)),bind(X_66,$fot(X_69))]]) ).
cnf(refute_0_23,plain,
( ~ subset(X_68,difference(X_68,X_69))
| X_68 = difference(X_68,X_69) ),
inference(resolve,[$cnf( subset(difference(X_68,X_69),X_68) )],[refute_0_22,refute_0_13]) ).
cnf(refute_0_24,plain,
( ~ subset(X_126,difference(X_126,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| X_126 = difference(X_126,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(X_126)),bind(X_69,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_25,plain,
( ~ member(D,difference(C,C))
| ~ subset(C,C) ),
inference(subst,[],[refute_0_10:[bind(B,$fot(C))]]) ).
cnf(refute_0_26,plain,
subset(B,B),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_27,plain,
subset(X_23,X_23),
inference(subst,[],[refute_0_26:[bind(B,$fot(X_23))]]) ).
cnf(refute_0_28,plain,
( member(skolemFOFtoCNF_D(difference(X_18,X_19),X_12),difference(X_18,X_19))
| subset(difference(X_18,X_19),X_12) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(difference(X_18,X_19)))]]) ).
cnf(refute_0_29,plain,
( ~ member(skolemFOFtoCNF_D(difference(X_18,X_19),X_12),difference(X_18,X_19))
| ~ subset(X_18,X_19) ),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_18)),bind(C,$fot(X_19)),bind(D,$fot(skolemFOFtoCNF_D(difference(X_18,X_19),X_12)))]]) ).
cnf(refute_0_30,plain,
( ~ subset(X_18,X_19)
| subset(difference(X_18,X_19),X_12) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(X_18,X_19),X_12),difference(X_18,X_19)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ subset(X_23,X_23)
| subset(difference(X_23,X_23),X_21) ),
inference(subst,[],[refute_0_30:[bind(X_12,$fot(X_21)),bind(X_18,$fot(X_23)),bind(X_19,$fot(X_23))]]) ).
cnf(refute_0_32,plain,
subset(difference(X_23,X_23),X_21),
inference(resolve,[$cnf( subset(X_23,X_23) )],[refute_0_27,refute_0_31]) ).
cnf(refute_0_33,plain,
subset(difference(X_23,X_23),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_32:[bind(X_21,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_34,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_16:[bind(X_6,$fot(skolemFOFtoCNF_B)),bind(X_7,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_35,plain,
( ~ member(E,skolemFOFtoCNF_B)
| member(E,skolemFOFtoCNF_C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_36,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_35:[bind(E,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15)))]]) ).
cnf(refute_0_37,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_B,X_15) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(skolemFOFtoCNF_B)),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_38,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_B,X_15) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),skolemFOFtoCNF_B) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_38:[bind(X_15,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_40,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_C) )],[refute_0_39,refute_0_34]) ).
cnf(refute_0_41,plain,
( ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),X_21) ),
inference(subst,[],[refute_0_30:[bind(X_12,$fot(X_21)),bind(X_18,$fot(skolemFOFtoCNF_B)),bind(X_19,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_42,plain,
subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),X_21),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),X_44),
inference(subst,[],[refute_0_42:[bind(X_21,$fot(X_44))]]) ).
cnf(refute_0_44,plain,
( ~ subset(X_44,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| ~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),X_44)
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = X_44 ),
inference(subst,[],[refute_0_12:[bind(B,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(C,$fot(X_44))]]) ).
cnf(refute_0_45,plain,
( ~ subset(X_44,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = X_44 ),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),X_44) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ subset(difference(X_23,X_23),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(X_23,X_23) ),
inference(subst,[],[refute_0_45:[bind(X_44,$fot(difference(X_23,X_23)))]]) ).
cnf(refute_0_47,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(X_23,X_23),
inference(resolve,[$cnf( subset(difference(X_23,X_23),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_33,refute_0_46]) ).
cnf(refute_0_48,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(C,C),
inference(subst,[],[refute_0_47:[bind(X_23,$fot(C))]]) ).
cnf(refute_0_49,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_50,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_51,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(C,C)
| difference(C,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(Y,$fot(difference(C,C)))]]) ).
cnf(refute_0_53,plain,
difference(C,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(C,C)) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
( difference(C,C) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| ~ member(D,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| member(D,difference(C,C)) ),
introduced(tautology,[equality,[$cnf( ~ member(D,difference(C,C)) ),[1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_55,plain,
( ~ member(D,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| member(D,difference(C,C)) ),
inference(resolve,[$cnf( $equal(difference(C,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ member(D,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| ~ subset(C,C) ),
inference(resolve,[$cnf( member(D,difference(C,C)) )],[refute_0_55,refute_0_25]) ).
cnf(refute_0_57,plain,
subset(C,C),
inference(subst,[],[refute_0_26:[bind(B,$fot(C))]]) ).
cnf(refute_0_58,plain,
~ member(D,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( subset(C,C) )],[refute_0_57,refute_0_56]) ).
cnf(refute_0_59,plain,
~ member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_58:[bind(D,$fot(skolemFOFtoCNF_D(X_124,difference(X_124,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_60,plain,
( ~ member(skolemFOFtoCNF_D(X_115,difference(X_115,X_116)),difference(X_115,X_116))
| subset(X_115,difference(X_115,X_116)) ),
inference(subst,[],[refute_0_16:[bind(X_6,$fot(X_115)),bind(X_7,$fot(difference(X_115,X_116)))]]) ).
cnf(refute_0_61,plain,
( member(skolemFOFtoCNF_D(X_60,X_12),X_60)
| subset(X_60,X_12) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(X_60))]]) ).
cnf(refute_0_62,plain,
( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_63,plain,
( ~ member(skolemFOFtoCNF_D(X_60,X_12),X_60)
| member(skolemFOFtoCNF_D(X_60,X_12),X_61)
| member(skolemFOFtoCNF_D(X_60,X_12),difference(X_60,X_61)) ),
inference(subst,[],[refute_0_62:[bind(B,$fot(X_60)),bind(C,$fot(X_61)),bind(D,$fot(skolemFOFtoCNF_D(X_60,X_12)))]]) ).
cnf(refute_0_64,plain,
( member(skolemFOFtoCNF_D(X_60,X_12),X_61)
| member(skolemFOFtoCNF_D(X_60,X_12),difference(X_60,X_61))
| subset(X_60,X_12) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_60,X_12),X_60) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
( member(skolemFOFtoCNF_D(X_115,difference(X_115,X_116)),X_116)
| member(skolemFOFtoCNF_D(X_115,difference(X_115,X_116)),difference(X_115,X_116))
| subset(X_115,difference(X_115,X_116)) ),
inference(subst,[],[refute_0_64:[bind(X_12,$fot(difference(X_115,X_116))),bind(X_60,$fot(X_115)),bind(X_61,$fot(X_116))]]) ).
cnf(refute_0_66,plain,
( member(skolemFOFtoCNF_D(X_115,difference(X_115,X_116)),X_116)
| subset(X_115,difference(X_115,X_116)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_115,difference(X_115,X_116)),difference(X_115,X_116)) )],[refute_0_65,refute_0_60]) ).
cnf(refute_0_67,plain,
( member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| subset(X_124,difference(X_124,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_66:[bind(X_115,$fot(X_124)),bind(X_116,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_68,plain,
subset(X_124,difference(X_124,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_67,refute_0_59]) ).
cnf(refute_0_69,plain,
subset(X_126,difference(X_126,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),
inference(subst,[],[refute_0_68:[bind(X_124,$fot(X_126))]]) ).
cnf(refute_0_70,plain,
X_126 = difference(X_126,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( subset(X_126,difference(X_126,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_69,refute_0_24]) ).
cnf(refute_0_71,plain,
X_127 = difference(X_127,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_70:[bind(X_126,$fot(X_127))]]) ).
cnf(refute_0_72,plain,
( X_127 != difference(X_127,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_23,X_23)
| X_127 = difference(X_127,difference(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(X_127,difference(X_127,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),[1,1],$fot(difference(X_23,X_23))]]) ).
cnf(refute_0_73,plain,
( X_127 != difference(X_127,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| X_127 = difference(X_127,difference(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_23,X_23)) )],[refute_0_47,refute_0_72]) ).
cnf(refute_0_74,plain,
X_127 = difference(X_127,difference(X_23,X_23)),
inference(resolve,[$cnf( $equal(X_127,difference(X_127,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
B = difference(B,difference(X_132,X_132)),
inference(subst,[],[refute_0_74:[bind(X_127,$fot(B)),bind(X_23,$fot(X_132))]]) ).
cnf(refute_0_76,plain,
( B != difference(B,difference(X_132,X_132))
| difference(B,difference(X_132,X_132)) = B ),
inference(subst,[],[refute_0_51:[bind(X,$fot(B)),bind(Y,$fot(difference(B,difference(X_132,X_132))))]]) ).
cnf(refute_0_77,plain,
difference(B,difference(X_132,X_132)) = B,
inference(resolve,[$cnf( $equal(B,difference(B,difference(X_132,X_132))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( difference(B,difference(X_132,X_132)) != B
| ~ member(D,B)
| member(D,difference(B,difference(X_132,X_132))) ),
introduced(tautology,[equality,[$cnf( ~ member(D,difference(B,difference(X_132,X_132))) ),[1],$fot(B)]]) ).
cnf(refute_0_79,plain,
( ~ member(D,B)
| member(D,difference(B,difference(X_132,X_132))) ),
inference(resolve,[$cnf( $equal(difference(B,difference(X_132,X_132)),B) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ member(D,B)
| ~ subset(B,difference(X_132,X_132)) ),
inference(resolve,[$cnf( member(D,difference(B,difference(X_132,X_132))) )],[refute_0_79,refute_0_11]) ).
cnf(refute_0_81,plain,
( ~ member(D,X_231)
| ~ subset(X_231,difference(X_132,X_132)) ),
inference(subst,[],[refute_0_80:[bind(B,$fot(X_231))]]) ).
cnf(refute_0_82,plain,
( member(skolemFOFtoCNF_D(X_125,difference(X_125,X_125)),X_125)
| subset(X_125,difference(X_125,X_125)) ),
inference(subst,[],[refute_0_66:[bind(X_115,$fot(X_125)),bind(X_116,$fot(X_125))]]) ).
cnf(refute_0_83,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(X_125,X_125),
inference(subst,[],[refute_0_47:[bind(X_23,$fot(X_125))]]) ).
cnf(refute_0_84,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_125,X_125)
| difference(X_125,X_125) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(Y,$fot(difference(X_125,X_125)))]]) ).
cnf(refute_0_85,plain,
difference(X_125,X_125) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_125,X_125)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( difference(X_125,X_125) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| ~ member(skolemFOFtoCNF_D(X_125,difference(X_125,X_125)),X_125)
| member(skolemFOFtoCNF_D(X_125,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_125) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(X_125,difference(X_125,X_125)),X_125) ),[0,1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_87,plain,
( ~ member(skolemFOFtoCNF_D(X_125,difference(X_125,X_125)),X_125)
| member(skolemFOFtoCNF_D(X_125,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_125) ),
inference(resolve,[$cnf( $equal(difference(X_125,X_125),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( member(skolemFOFtoCNF_D(X_125,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_125)
| subset(X_125,difference(X_125,X_125)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_125,difference(X_125,X_125)),X_125) )],[refute_0_82,refute_0_87]) ).
cnf(refute_0_89,plain,
( member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147)
| subset(X_147,difference(X_147,X_147)) ),
inference(subst,[],[refute_0_88:[bind(X_125,$fot(X_147))]]) ).
cnf(refute_0_90,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_23,X_23)
| ~ member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147)
| member(skolemFOFtoCNF_D(X_147,difference(X_23,X_23)),X_147) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147) ),[0,1],$fot(difference(X_23,X_23))]]) ).
cnf(refute_0_91,plain,
( ~ member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147)
| member(skolemFOFtoCNF_D(X_147,difference(X_23,X_23)),X_147) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_23,X_23)) )],[refute_0_47,refute_0_90]) ).
cnf(refute_0_92,plain,
( member(skolemFOFtoCNF_D(X_147,difference(X_23,X_23)),X_147)
| subset(X_147,difference(X_147,X_147)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147) )],[refute_0_89,refute_0_91]) ).
cnf(refute_0_93,plain,
( member(skolemFOFtoCNF_D(X_228,difference(X_23,X_23)),X_228)
| subset(X_228,difference(X_228,X_228)) ),
inference(subst,[],[refute_0_92:[bind(X_147,$fot(X_228))]]) ).
cnf(refute_0_94,plain,
( ~ member(skolemFOFtoCNF_D(X_115,X_114),difference(X_115,X_116))
| ~ subset(X_115,X_116) ),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_115)),bind(C,$fot(X_116)),bind(D,$fot(skolemFOFtoCNF_D(X_115,X_114)))]]) ).
cnf(refute_0_95,plain,
( member(skolemFOFtoCNF_D(X_115,X_114),X_116)
| member(skolemFOFtoCNF_D(X_115,X_114),difference(X_115,X_116))
| subset(X_115,X_114) ),
inference(subst,[],[refute_0_64:[bind(X_12,$fot(X_114)),bind(X_60,$fot(X_115)),bind(X_61,$fot(X_116))]]) ).
cnf(refute_0_96,plain,
( ~ subset(X_115,X_116)
| member(skolemFOFtoCNF_D(X_115,X_114),X_116)
| subset(X_115,X_114) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_115,X_114),difference(X_115,X_116)) )],[refute_0_95,refute_0_94]) ).
cnf(refute_0_97,plain,
( ~ subset(X_228,difference(X_228,X_228))
| member(skolemFOFtoCNF_D(X_228,X_227),difference(X_228,X_228))
| subset(X_228,X_227) ),
inference(subst,[],[refute_0_96:[bind(X_114,$fot(X_227)),bind(X_115,$fot(X_228)),bind(X_116,$fot(difference(X_228,X_228)))]]) ).
cnf(refute_0_98,plain,
( member(skolemFOFtoCNF_D(X_228,X_227),difference(X_228,X_228))
| member(skolemFOFtoCNF_D(X_228,difference(X_23,X_23)),X_228)
| subset(X_228,X_227) ),
inference(resolve,[$cnf( subset(X_228,difference(X_228,X_228)) )],[refute_0_93,refute_0_97]) ).
cnf(refute_0_99,plain,
~ member(X_47,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_58:[bind(D,$fot(X_47))]]) ).
cnf(refute_0_100,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_23,X_23)
| ~ member(X_47,difference(X_23,X_23))
| member(X_47,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( ~ member(X_47,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),[1],$fot(difference(X_23,X_23))]]) ).
cnf(refute_0_101,plain,
( ~ member(X_47,difference(X_23,X_23))
| member(X_47,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_23,X_23)) )],[refute_0_47,refute_0_100]) ).
cnf(refute_0_102,plain,
~ member(X_47,difference(X_23,X_23)),
inference(resolve,[$cnf( member(X_47,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_101,refute_0_99]) ).
cnf(refute_0_103,plain,
~ member(skolemFOFtoCNF_D(X_228,X_227),difference(X_228,X_228)),
inference(subst,[],[refute_0_102:[bind(X_23,$fot(X_228)),bind(X_47,$fot(skolemFOFtoCNF_D(X_228,X_227)))]]) ).
cnf(refute_0_104,plain,
( member(skolemFOFtoCNF_D(X_228,difference(X_23,X_23)),X_228)
| subset(X_228,X_227) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_228,X_227),difference(X_228,X_228)) )],[refute_0_98,refute_0_103]) ).
cnf(refute_0_105,plain,
( member(skolemFOFtoCNF_D(X_231,difference(X_232,X_232)),X_231)
| subset(X_231,difference(X_132,X_132)) ),
inference(subst,[],[refute_0_104:[bind(X_227,$fot(difference(X_132,X_132))),bind(X_228,$fot(X_231)),bind(X_23,$fot(X_232))]]) ).
cnf(refute_0_106,plain,
( ~ member(D,X_231)
| member(skolemFOFtoCNF_D(X_231,difference(X_232,X_232)),X_231) ),
inference(resolve,[$cnf( subset(X_231,difference(X_132,X_132)) )],[refute_0_105,refute_0_81]) ).
cnf(refute_0_107,plain,
( ~ member(skolemFOFtoCNF_D(X_555,X_556),difference(difference(X_555,X_556),X_557))
| member(skolemFOFtoCNF_D(difference(difference(X_555,X_556),X_557),difference(X_232,X_232)),difference(difference(X_555,X_556),X_557)) ),
inference(subst,[],[refute_0_106:[bind(D,$fot(skolemFOFtoCNF_D(X_555,X_556))),bind(X_231,$fot(difference(difference(X_555,X_556),X_557)))]]) ).
cnf(refute_0_108,plain,
( ~ member(skolemFOFtoCNF_D(B,C),difference(B,C))
| member(skolemFOFtoCNF_D(B,C),X_61)
| member(skolemFOFtoCNF_D(B,C),difference(difference(B,C),X_61)) ),
inference(subst,[],[refute_0_62:[bind(B,$fot(difference(B,C))),bind(C,$fot(X_61)),bind(D,$fot(skolemFOFtoCNF_D(B,C)))]]) ).
cnf(refute_0_109,plain,
( member(skolemFOFtoCNF_D(B,C),X_61)
| member(skolemFOFtoCNF_D(B,C),difference(difference(B,C),X_61))
| subset(B,C) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(B,C),difference(B,C)) )],[refute_0_2,refute_0_108]) ).
cnf(refute_0_110,plain,
( member(skolemFOFtoCNF_D(X_555,X_556),X_557)
| member(skolemFOFtoCNF_D(X_555,X_556),difference(difference(X_555,X_556),X_557))
| subset(X_555,X_556) ),
inference(subst,[],[refute_0_109:[bind(B,$fot(X_555)),bind(C,$fot(X_556)),bind(X_61,$fot(X_557))]]) ).
cnf(refute_0_111,plain,
( member(skolemFOFtoCNF_D(X_555,X_556),X_557)
| member(skolemFOFtoCNF_D(difference(difference(X_555,X_556),X_557),difference(X_232,X_232)),difference(difference(X_555,X_556),X_557))
| subset(X_555,X_556) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_555,X_556),difference(difference(X_555,X_556),X_557)) )],[refute_0_110,refute_0_107]) ).
cnf(refute_0_112,plain,
( member(skolemFOFtoCNF_D(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| subset(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_111:[bind(X_232,$fot(X_3101)),bind(X_555,$fot(difference(skolemFOFtoCNF_C,X_2332))),bind(X_556,$fot(skolemFOFtoCNF_B)),bind(X_557,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_113,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),difference(B,C))
| ~ subset(B,C) ),
inference(subst,[],[refute_0_10:[bind(D,$fot(skolemFOFtoCNF_D(difference(B,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_114,plain,
( ~ subset(X_147,difference(X_147,X_147))
| X_147 = difference(X_147,X_147) ),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(X_147)),bind(X_69,$fot(X_147))]]) ).
cnf(refute_0_115,plain,
( X_147 = difference(X_147,X_147)
| member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147) ),
inference(resolve,[$cnf( subset(X_147,difference(X_147,X_147)) )],[refute_0_89,refute_0_114]) ).
cnf(refute_0_116,plain,
( difference(B,C) = difference(difference(B,C),difference(B,C))
| member(skolemFOFtoCNF_D(difference(B,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),difference(B,C)) ),
inference(subst,[],[refute_0_115:[bind(X_147,$fot(difference(B,C)))]]) ).
cnf(refute_0_117,plain,
( ~ subset(B,C)
| difference(B,C) = difference(difference(B,C),difference(B,C)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),difference(B,C)) )],[refute_0_116,refute_0_113]) ).
cnf(refute_0_118,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(X_56,X_56),
inference(subst,[],[refute_0_47:[bind(X_23,$fot(X_56))]]) ).
cnf(refute_0_119,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_56,X_56)
| difference(X_56,X_56) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(Y,$fot(difference(X_56,X_56)))]]) ).
cnf(refute_0_120,plain,
difference(X_56,X_56) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_56,X_56)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
difference(difference(B,C),difference(B,C)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(subst,[],[refute_0_120:[bind(X_56,$fot(difference(B,C)))]]) ).
cnf(refute_0_122,plain,
( difference(B,C) != difference(difference(B,C),difference(B,C))
| difference(difference(B,C),difference(B,C)) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| difference(B,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(B,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),[0],$fot(difference(difference(B,C),difference(B,C)))]]) ).
cnf(refute_0_123,plain,
( difference(B,C) != difference(difference(B,C),difference(B,C))
| difference(B,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(resolve,[$cnf( $equal(difference(difference(B,C),difference(B,C)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( ~ subset(B,C)
| difference(B,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(resolve,[$cnf( $equal(difference(B,C),difference(difference(B,C),difference(B,C))) )],[refute_0_117,refute_0_123]) ).
cnf(refute_0_125,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,C),difference(X_376,X_376)),difference(B,C))
| ~ subset(B,C) ),
inference(subst,[],[refute_0_10:[bind(D,$fot(skolemFOFtoCNF_D(difference(B,C),difference(X_376,X_376))))]]) ).
cnf(refute_0_126,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(X_46,X_46),
inference(subst,[],[refute_0_47:[bind(X_23,$fot(X_46))]]) ).
cnf(refute_0_127,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_46,X_46)
| ~ subset(X_44,difference(X_46,X_46))
| subset(X_44,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( ~ subset(X_44,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),[1],$fot(difference(X_46,X_46))]]) ).
cnf(refute_0_128,plain,
( ~ subset(X_44,difference(X_46,X_46))
| subset(X_44,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_46,X_46)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
( ~ subset(X_44,difference(X_46,X_46))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = X_44 ),
inference(resolve,[$cnf( subset(X_44,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_128,refute_0_45]) ).
cnf(refute_0_130,plain,
( ~ subset(X_231,difference(X_46,X_46))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = X_231 ),
inference(subst,[],[refute_0_129:[bind(X_44,$fot(X_231))]]) ).
cnf(refute_0_131,plain,
( member(skolemFOFtoCNF_D(X_231,difference(X_232,X_232)),X_231)
| subset(X_231,difference(X_46,X_46)) ),
inference(subst,[],[refute_0_104:[bind(X_227,$fot(difference(X_46,X_46))),bind(X_228,$fot(X_231)),bind(X_23,$fot(X_232))]]) ).
cnf(refute_0_132,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = X_231
| member(skolemFOFtoCNF_D(X_231,difference(X_232,X_232)),X_231) ),
inference(resolve,[$cnf( subset(X_231,difference(X_46,X_46)) )],[refute_0_131,refute_0_130]) ).
cnf(refute_0_133,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(B,C)
| member(skolemFOFtoCNF_D(difference(B,C),difference(X_376,X_376)),difference(B,C)) ),
inference(subst,[],[refute_0_132:[bind(X_231,$fot(difference(B,C))),bind(X_232,$fot(X_376))]]) ).
cnf(refute_0_134,plain,
( ~ subset(B,C)
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(B,C) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,C),difference(X_376,X_376)),difference(B,C)) )],[refute_0_133,refute_0_125]) ).
cnf(refute_0_135,plain,
( ~ subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_134:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_136,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_441,skolemFOFtoCNF_C))),difference(X_441,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_441,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_66:[bind(X_115,$fot(skolemFOFtoCNF_B)),bind(X_116,$fot(difference(X_441,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_137,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_330),difference(X_331,skolemFOFtoCNF_C))
| ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_330),difference(skolemFOFtoCNF_C,difference(X_331,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(difference(X_331,skolemFOFtoCNF_C))),bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_330)))]]) ).
cnf(refute_0_138,plain,
( ~ subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_314,skolemFOFtoCNF_C)))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_C,difference(X_314,skolemFOFtoCNF_C)))
| subset(skolemFOFtoCNF_B,X_114) ),
inference(subst,[],[refute_0_96:[bind(X_115,$fot(skolemFOFtoCNF_B)),bind(X_116,$fot(difference(skolemFOFtoCNF_C,difference(X_314,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_139,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,skolemFOFtoCNF_C))),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_38:[bind(X_15,$fot(difference(skolemFOFtoCNF_C,difference(X_311,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_140,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),C)
| ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),difference(B,C)) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C)))))]]) ).
cnf(refute_0_141,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)),difference(skolemFOFtoCNF_C,X_97))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)) ),
inference(subst,[],[refute_0_16:[bind(X_6,$fot(skolemFOFtoCNF_B)),bind(X_7,$fot(difference(skolemFOFtoCNF_C,X_97)))]]) ).
cnf(refute_0_142,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),skolemFOFtoCNF_C)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),X_61)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),difference(skolemFOFtoCNF_C,X_61)) ),
inference(subst,[],[refute_0_62:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(X_61)),bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15)))]]) ).
cnf(refute_0_143,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),X_61)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),difference(skolemFOFtoCNF_C,X_61))
| subset(skolemFOFtoCNF_B,X_15) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_15),skolemFOFtoCNF_C) )],[refute_0_38,refute_0_142]) ).
cnf(refute_0_144,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)),X_97)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)),difference(skolemFOFtoCNF_C,X_97))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)) ),
inference(subst,[],[refute_0_143:[bind(X_15,$fot(difference(skolemFOFtoCNF_C,X_97))),bind(X_61,$fot(X_97))]]) ).
cnf(refute_0_145,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)),X_97)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,X_97)),difference(skolemFOFtoCNF_C,X_97)) )],[refute_0_144,refute_0_141]) ).
cnf(refute_0_146,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),difference(B,C))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))) ),
inference(subst,[],[refute_0_145:[bind(X_97,$fot(difference(B,C)))]]) ).
cnf(refute_0_147,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),C)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),difference(B,C)) )],[refute_0_146,refute_0_140]) ).
cnf(refute_0_148,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,skolemFOFtoCNF_C))),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_147:[bind(B,$fot(X_311)),bind(C,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_149,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,skolemFOFtoCNF_C))),skolemFOFtoCNF_C) )],[refute_0_139,refute_0_148]) ).
cnf(refute_0_150,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_314,skolemFOFtoCNF_C))),
inference(subst,[],[refute_0_149:[bind(X_311,$fot(X_314))]]) ).
cnf(refute_0_151,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_C,difference(X_314,skolemFOFtoCNF_C)))
| subset(skolemFOFtoCNF_B,X_114) ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_314,skolemFOFtoCNF_C))) )],[refute_0_150,refute_0_138]) ).
cnf(refute_0_152,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_330),difference(skolemFOFtoCNF_C,difference(X_331,skolemFOFtoCNF_C)))
| subset(skolemFOFtoCNF_B,X_330) ),
inference(subst,[],[refute_0_151:[bind(X_114,$fot(X_330)),bind(X_314,$fot(X_331))]]) ).
cnf(refute_0_153,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_330),difference(X_331,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,X_330) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_330),difference(skolemFOFtoCNF_C,difference(X_331,skolemFOFtoCNF_C))) )],[refute_0_152,refute_0_137]) ).
cnf(refute_0_154,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_441,skolemFOFtoCNF_C))),difference(X_441,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_441,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_153:[bind(X_330,$fot(difference(skolemFOFtoCNF_B,difference(X_441,skolemFOFtoCNF_C)))),bind(X_331,$fot(X_441))]]) ).
cnf(refute_0_155,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_441,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_441,skolemFOFtoCNF_C))),difference(X_441,skolemFOFtoCNF_C)) )],[refute_0_136,refute_0_154]) ).
cnf(refute_0_156,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))),
inference(subst,[],[refute_0_155:[bind(X_441,$fot(X_442))]]) ).
cnf(refute_0_157,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) )],[refute_0_156,refute_0_135]) ).
cnf(refute_0_158,plain,
( ~ subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))
| skolemFOFtoCNF_B = difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(skolemFOFtoCNF_B)),bind(X_69,$fot(difference(X_442,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_159,plain,
skolemFOFtoCNF_B = difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) )],[refute_0_156,refute_0_158]) ).
cnf(refute_0_160,plain,
( skolemFOFtoCNF_B != difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))
| difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)) = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_51:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_161,plain,
difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)) = skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))),
introduced(tautology,[refl,[$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_163,plain,
( difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)) != skolemFOFtoCNF_B
| difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) != difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))
| difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))) ),[1,1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_164,plain,
( difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)) != skolemFOFtoCNF_B
| difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)),skolemFOFtoCNF_B) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))) ),[1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_167,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_442,skolemFOFtoCNF_C)))) )],[refute_0_157,refute_0_167]) ).
cnf(refute_0_169,plain,
( difference(B,C) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| difference(B,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(B,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),[0],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_170,plain,
( difference(B,C) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| difference(B,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( ~ subset(B,C)
| difference(B,C) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(B,C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_124,refute_0_170]) ).
cnf(refute_0_172,plain,
( ~ subset(difference(difference(X_2033,X_2034),X_2035),X_2033)
| difference(difference(difference(X_2033,X_2034),X_2035),X_2033) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_171:[bind(B,$fot(difference(difference(X_2033,X_2034),X_2035))),bind(C,$fot(X_2033))]]) ).
cnf(refute_0_173,plain,
( ~ member(skolemFOFtoCNF_D(difference(difference(X_2029,X_2030),X_2031),X_2029),X_2029)
| subset(difference(difference(X_2029,X_2030),X_2031),X_2029) ),
inference(subst,[],[refute_0_16:[bind(X_6,$fot(difference(difference(X_2029,X_2030),X_2031))),bind(X_7,$fot(X_2029))]]) ).
cnf(refute_0_174,plain,
( ~ member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),difference(B,C))
| member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),B) ),
inference(subst,[],[refute_0_4:[bind(D,$fot(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67)))]]) ).
cnf(refute_0_175,plain,
( member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),difference(B,C))
| subset(difference(difference(B,C),X_66),X_67) ),
inference(subst,[],[refute_0_19:[bind(B,$fot(difference(B,C))),bind(C,$fot(X_66)),bind(X_15,$fot(X_67))]]) ).
cnf(refute_0_176,plain,
( member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),B)
| subset(difference(difference(B,C),X_66),X_67) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),difference(B,C)) )],[refute_0_175,refute_0_174]) ).
cnf(refute_0_177,plain,
( member(skolemFOFtoCNF_D(difference(difference(X_2029,X_2030),X_2031),X_2029),X_2029)
| subset(difference(difference(X_2029,X_2030),X_2031),X_2029) ),
inference(subst,[],[refute_0_176:[bind(B,$fot(X_2029)),bind(C,$fot(X_2030)),bind(X_66,$fot(X_2031)),bind(X_67,$fot(X_2029))]]) ).
cnf(refute_0_178,plain,
subset(difference(difference(X_2029,X_2030),X_2031),X_2029),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(difference(X_2029,X_2030),X_2031),X_2029),X_2029) )],[refute_0_177,refute_0_173]) ).
cnf(refute_0_179,plain,
subset(difference(difference(X_2033,X_2034),X_2035),X_2033),
inference(subst,[],[refute_0_178:[bind(X_2029,$fot(X_2033)),bind(X_2030,$fot(X_2034)),bind(X_2031,$fot(X_2035))]]) ).
cnf(refute_0_180,plain,
difference(difference(difference(X_2033,X_2034),X_2035),X_2033) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(resolve,[$cnf( subset(difference(difference(X_2033,X_2034),X_2035),X_2033) )],[refute_0_179,refute_0_172]) ).
cnf(refute_0_181,plain,
difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_180:[bind(X_2033,$fot(difference(skolemFOFtoCNF_C,X_2332))),bind(X_2034,$fot(skolemFOFtoCNF_B)),bind(X_2035,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_182,plain,
( ~ subset(difference(X_1315,X_1316),difference(difference(X_1315,X_1316),difference(X_1316,X_1317)))
| difference(X_1315,X_1316) = difference(difference(X_1315,X_1316),difference(X_1316,X_1317)) ),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(difference(X_1315,X_1316))),bind(X_69,$fot(difference(X_1316,X_1317)))]]) ).
cnf(refute_0_183,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,X_1258),difference(difference(B,X_1258),difference(X_1258,X_1259))),X_1258)
| subset(difference(B,X_1258),difference(difference(B,X_1258),difference(X_1258,X_1259))) ),
inference(subst,[],[refute_0_8:[bind(C,$fot(X_1258)),bind(X_15,$fot(difference(difference(B,X_1258),difference(X_1258,X_1259))))]]) ).
cnf(refute_0_184,plain,
( ~ member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),difference(B,C))
| member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),B) ),
inference(subst,[],[refute_0_4:[bind(D,$fot(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C)))))]]) ).
cnf(refute_0_185,plain,
( member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),difference(B,C))
| subset(X_124,difference(X_124,difference(B,C))) ),
inference(subst,[],[refute_0_66:[bind(X_115,$fot(X_124)),bind(X_116,$fot(difference(B,C)))]]) ).
cnf(refute_0_186,plain,
( member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),B)
| subset(X_124,difference(X_124,difference(B,C))) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),difference(B,C)) )],[refute_0_185,refute_0_184]) ).
cnf(refute_0_187,plain,
( member(skolemFOFtoCNF_D(difference(B,X_1258),difference(difference(B,X_1258),difference(X_1258,X_1259))),X_1258)
| subset(difference(B,X_1258),difference(difference(B,X_1258),difference(X_1258,X_1259))) ),
inference(subst,[],[refute_0_186:[bind(B,$fot(X_1258)),bind(C,$fot(X_1259)),bind(X_124,$fot(difference(B,X_1258)))]]) ).
cnf(refute_0_188,plain,
subset(difference(B,X_1258),difference(difference(B,X_1258),difference(X_1258,X_1259))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,X_1258),difference(difference(B,X_1258),difference(X_1258,X_1259))),X_1258) )],[refute_0_187,refute_0_183]) ).
cnf(refute_0_189,plain,
subset(difference(X_1315,X_1316),difference(difference(X_1315,X_1316),difference(X_1316,X_1317))),
inference(subst,[],[refute_0_188:[bind(B,$fot(X_1315)),bind(X_1258,$fot(X_1316)),bind(X_1259,$fot(X_1317))]]) ).
cnf(refute_0_190,plain,
difference(X_1315,X_1316) = difference(difference(X_1315,X_1316),difference(X_1316,X_1317)),
inference(resolve,[$cnf( subset(difference(X_1315,X_1316),difference(difference(X_1315,X_1316),difference(X_1316,X_1317))) )],[refute_0_189,refute_0_182]) ).
cnf(refute_0_191,plain,
difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) = difference(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,X_1317)),
inference(subst,[],[refute_0_190:[bind(X_1315,$fot(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))),bind(X_1316,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_192,plain,
( ~ subset(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C))
| difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))),bind(X_69,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_193,plain,
( ~ member(skolemFOFtoCNF_D(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_D_1)
| subset(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_8:[bind(C,$fot(skolemFOFtoCNF_D_1)),bind(X_15,$fot(difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_194,plain,
( ~ member(E,skolemFOFtoCNF_C)
| member(E,skolemFOFtoCNF_B)
| member(E,skolemFOFtoCNF_D_1) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_195,plain,
( ~ member(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C)),skolemFOFtoCNF_C)
| member(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C)),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C)),skolemFOFtoCNF_D_1) ),
inference(subst,[],[refute_0_194:[bind(E,$fot(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_196,plain,
( member(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C)),skolemFOFtoCNF_C)
| subset(X_124,difference(X_124,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_66:[bind(X_115,$fot(X_124)),bind(X_116,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_197,plain,
( member(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C)),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C)),skolemFOFtoCNF_D_1)
| subset(X_124,difference(X_124,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_124,difference(X_124,skolemFOFtoCNF_C)),skolemFOFtoCNF_C) )],[refute_0_196,refute_0_195]) ).
cnf(refute_0_198,plain,
( member(skolemFOFtoCNF_D(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_D_1)
| subset(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_197:[bind(X_124,$fot(difference(B,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_199,plain,
( member(skolemFOFtoCNF_D(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_B)
| subset(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(B,skolemFOFtoCNF_D_1),difference(difference(B,skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_D_1) )],[refute_0_198,refute_0_193]) ).
cnf(refute_0_200,plain,
( member(skolemFOFtoCNF_D(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_B)
| subset(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_199:[bind(B,$fot(difference(X_2099,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_201,plain,
( ~ member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),C)
| ~ member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),difference(B,C)) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67)))]]) ).
cnf(refute_0_202,plain,
( ~ member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),C)
| subset(difference(difference(B,C),X_66),X_67) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(difference(B,C),X_66),X_67),difference(B,C)) )],[refute_0_175,refute_0_201]) ).
cnf(refute_0_203,plain,
( ~ member(skolemFOFtoCNF_D(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_B)
| subset(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_202:[bind(B,$fot(X_2099)),bind(C,$fot(skolemFOFtoCNF_B)),bind(X_66,$fot(skolemFOFtoCNF_D_1)),bind(X_67,$fot(difference(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_204,plain,
subset(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2099,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),skolemFOFtoCNF_B) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
subset(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_204:[bind(X_2099,$fot(X_2103))]]) ).
cnf(refute_0_206,plain,
difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),
inference(resolve,[$cnf( subset(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2103,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)) )],[refute_0_205,refute_0_192]) ).
cnf(refute_0_207,plain,
difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),
inference(subst,[],[refute_0_206:[bind(X_2103,$fot(X_2104))]]) ).
cnf(refute_0_208,plain,
( difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) != difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)
| difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) = difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))),bind(Y,$fot(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_209,plain,
difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) = difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),
inference(resolve,[$cnf( $equal(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
( difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) != difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) != difference(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,X_1317))
| difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) = difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,X_1317))) ),[1,0],$fot(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_211,plain,
( difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) != difference(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,X_1317))
| difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) = difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317)) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) = difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317)),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,X_1317))) )],[refute_0_191,refute_0_211]) ).
cnf(refute_0_213,plain,
( difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) != difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) != difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317))
| difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317))) ),[0],$fot(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_214,plain,
( difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C) != difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317))
| difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317)) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) )],[refute_0_209,refute_0_213]) ).
cnf(refute_0_215,plain,
difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317)),
inference(resolve,[$cnf( $equal(difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),skolemFOFtoCNF_C),difference(difference(difference(X_2104,skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_1317))) )],[refute_0_212,refute_0_214]) ).
cnf(refute_0_216,plain,
difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)),
inference(subst,[],[refute_0_215:[bind(X_1317,$fot(X_2332)),bind(X_2104,$fot(difference(skolemFOFtoCNF_C,X_2332)))]]) ).
cnf(refute_0_217,plain,
( difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) != difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332))
| difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)) = difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))),bind(Y,$fot(difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332))))]]) ).
cnf(refute_0_218,plain,
difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)) = difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),
inference(resolve,[$cnf( $equal(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)) != difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),[0],$fot(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_220,plain,
( difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_C,X_2332)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_181,refute_0_220]) ).
cnf(refute_0_222,plain,
( difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| ~ member(skolemFOFtoCNF_D(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) ),[0,0],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_223,plain,
( ~ member(skolemFOFtoCNF_D(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| subset(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) )],[refute_0_112,refute_0_223]) ).
cnf(refute_0_225,plain,
( difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| ~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) ),[1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_226,plain,
( ~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_221,refute_0_225]) ).
cnf(refute_0_227,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| subset(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(difference(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)) )],[refute_0_224,refute_0_226]) ).
cnf(refute_0_228,plain,
~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_102:[bind(X_23,$fot(skolemFOFtoCNF_B)),bind(X_47,$fot(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101))))]]) ).
cnf(refute_0_229,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| subset(difference(skolemFOFtoCNF_C,X_2332),skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_3101,X_3101)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1)
| subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_229:[bind(X_2332,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_231,plain,
subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B),skolemFOFtoCNF_D_1) )],[refute_0_230,refute_0_9]) ).
cnf(refute_0_232,plain,
( ~ subset(difference(skolemFOFtoCNF_B,X_2040),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,X_2040))
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = difference(skolemFOFtoCNF_B,X_2040) ),
inference(subst,[],[refute_0_12:[bind(B,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))),bind(C,$fot(difference(skolemFOFtoCNF_B,X_2040)))]]) ).
cnf(refute_0_233,plain,
( ~ member(skolemFOFtoCNF_D(difference(X_564,X_565),difference(X_563,X_563)),difference(X_564,X_565))
| ~ subset(difference(X_564,X_565),difference(X_132,X_132)) ),
inference(subst,[],[refute_0_80:[bind(B,$fot(difference(X_564,X_565))),bind(D,$fot(skolemFOFtoCNF_D(difference(X_564,X_565),difference(X_563,X_563))))]]) ).
cnf(refute_0_234,plain,
( member(skolemFOFtoCNF_D(difference(X_560,X_561),difference(X_23,X_23)),difference(X_560,X_561))
| subset(difference(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561))) ),
inference(subst,[],[refute_0_92:[bind(X_147,$fot(difference(X_560,X_561)))]]) ).
cnf(refute_0_235,plain,
( ~ member(skolemFOFtoCNF_D(X_555,X_556),difference(difference(X_555,X_556),X_557))
| ~ subset(difference(X_555,X_556),X_557) ),
inference(subst,[],[refute_0_10:[bind(B,$fot(difference(X_555,X_556))),bind(C,$fot(X_557)),bind(D,$fot(skolemFOFtoCNF_D(X_555,X_556)))]]) ).
cnf(refute_0_236,plain,
( ~ subset(difference(X_555,X_556),X_557)
| member(skolemFOFtoCNF_D(X_555,X_556),X_557)
| subset(X_555,X_556) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_555,X_556),difference(difference(X_555,X_556),X_557)) )],[refute_0_110,refute_0_235]) ).
cnf(refute_0_237,plain,
( ~ subset(difference(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561)))
| member(skolemFOFtoCNF_D(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561)))
| subset(X_560,X_561) ),
inference(subst,[],[refute_0_236:[bind(X_555,$fot(X_560)),bind(X_556,$fot(X_561)),bind(X_557,$fot(difference(difference(X_560,X_561),difference(X_560,X_561))))]]) ).
cnf(refute_0_238,plain,
( member(skolemFOFtoCNF_D(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561)))
| member(skolemFOFtoCNF_D(difference(X_560,X_561),difference(X_23,X_23)),difference(X_560,X_561))
| subset(X_560,X_561) ),
inference(resolve,[$cnf( subset(difference(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561))) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
subset(difference(X_23,X_23),X_44),
inference(subst,[],[refute_0_32:[bind(X_21,$fot(X_44))]]) ).
cnf(refute_0_240,plain,
( ~ subset(X_44,difference(X_23,X_23))
| ~ subset(difference(X_23,X_23),X_44)
| difference(X_23,X_23) = X_44 ),
inference(subst,[],[refute_0_12:[bind(B,$fot(difference(X_23,X_23))),bind(C,$fot(X_44))]]) ).
cnf(refute_0_241,plain,
( ~ subset(X_44,difference(X_23,X_23))
| difference(X_23,X_23) = X_44 ),
inference(resolve,[$cnf( subset(difference(X_23,X_23),X_44) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( ~ subset(X_57,difference(X_56,X_56))
| difference(X_56,X_56) = X_57 ),
inference(subst,[],[refute_0_241:[bind(X_23,$fot(X_56)),bind(X_44,$fot(X_57))]]) ).
cnf(refute_0_243,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_23,X_23)
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_46,X_46)
| difference(X_46,X_46) = difference(X_23,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_23,X_23)) ),[0],$fot(difference(X_46,X_46))]]) ).
cnf(refute_0_244,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(X_23,X_23)
| difference(X_46,X_46) = difference(X_23,X_23) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_46,X_46)) )],[refute_0_126,refute_0_243]) ).
cnf(refute_0_245,plain,
difference(X_46,X_46) = difference(X_23,X_23),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(X_23,X_23)) )],[refute_0_47,refute_0_244]) ).
cnf(refute_0_246,plain,
difference(X_46,X_46) = difference(X_56,X_56),
inference(subst,[],[refute_0_245:[bind(X_23,$fot(X_56))]]) ).
cnf(refute_0_247,plain,
( difference(X_46,X_46) != difference(X_56,X_56)
| difference(X_56,X_56) = difference(X_46,X_46) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(X_46,X_46))),bind(Y,$fot(difference(X_56,X_56)))]]) ).
cnf(refute_0_248,plain,
difference(X_56,X_56) = difference(X_46,X_46),
inference(resolve,[$cnf( $equal(difference(X_46,X_46),difference(X_56,X_56)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( difference(X_56,X_56) != difference(X_46,X_46)
| ~ subset(X_57,difference(X_46,X_46))
| subset(X_57,difference(X_56,X_56)) ),
introduced(tautology,[equality,[$cnf( ~ subset(X_57,difference(X_56,X_56)) ),[1],$fot(difference(X_46,X_46))]]) ).
cnf(refute_0_250,plain,
( ~ subset(X_57,difference(X_46,X_46))
| subset(X_57,difference(X_56,X_56)) ),
inference(resolve,[$cnf( $equal(difference(X_56,X_56),difference(X_46,X_46)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
( ~ subset(X_57,difference(X_46,X_46))
| difference(X_56,X_56) = X_57 ),
inference(resolve,[$cnf( subset(X_57,difference(X_56,X_56)) )],[refute_0_250,refute_0_242]) ).
cnf(refute_0_252,plain,
( ~ subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),difference(X_46,X_46))
| difference(X_56,X_56) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))) ),
inference(subst,[],[refute_0_251:[bind(X_57,$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458)))))]]) ).
cnf(refute_0_253,plain,
( ~ subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_446,skolemFOFtoCNF_C),X_445)))
| subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_446,skolemFOFtoCNF_C),X_445))),X_12) ),
inference(subst,[],[refute_0_30:[bind(X_18,$fot(skolemFOFtoCNF_B)),bind(X_19,$fot(difference(skolemFOFtoCNF_C,difference(difference(X_446,skolemFOFtoCNF_C),X_445))))]]) ).
cnf(refute_0_254,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),difference(B,C))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),B) ),
inference(subst,[],[refute_0_4:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C)))))]]) ).
cnf(refute_0_255,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),B)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(B,C))),difference(B,C)) )],[refute_0_146,refute_0_254]) ).
cnf(refute_0_256,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_441,skolemFOFtoCNF_C),C))),difference(X_441,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_441,skolemFOFtoCNF_C),C))) ),
inference(subst,[],[refute_0_255:[bind(B,$fot(difference(X_441,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_257,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_441,skolemFOFtoCNF_C),C))),difference(X_441,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_441,skolemFOFtoCNF_C),C))) ),
inference(subst,[],[refute_0_153:[bind(X_330,$fot(difference(skolemFOFtoCNF_C,difference(difference(X_441,skolemFOFtoCNF_C),C)))),bind(X_331,$fot(X_441))]]) ).
cnf(refute_0_258,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_441,skolemFOFtoCNF_C),C))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_441,skolemFOFtoCNF_C),C))),difference(X_441,skolemFOFtoCNF_C)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_446,skolemFOFtoCNF_C),X_445))),
inference(subst,[],[refute_0_258:[bind(C,$fot(X_445)),bind(X_441,$fot(X_446))]]) ).
cnf(refute_0_260,plain,
subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_446,skolemFOFtoCNF_C),X_445))),X_12),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_446,skolemFOFtoCNF_C),X_445))) )],[refute_0_259,refute_0_253]) ).
cnf(refute_0_261,plain,
subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),difference(X_46,X_46)),
inference(subst,[],[refute_0_260:[bind(X_12,$fot(difference(X_46,X_46))),bind(X_445,$fot(X_458)),bind(X_446,$fot(X_459))]]) ).
cnf(refute_0_262,plain,
difference(X_56,X_56) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),difference(X_46,X_46)) )],[refute_0_261,refute_0_252]) ).
cnf(refute_0_263,plain,
( ~ subset(X_147,difference(X_147,X_147))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = X_147 ),
inference(subst,[],[refute_0_129:[bind(X_44,$fot(X_147)),bind(X_46,$fot(X_147))]]) ).
cnf(refute_0_264,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = X_147
| member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147) ),
inference(resolve,[$cnf( subset(X_147,difference(X_147,X_147)) )],[refute_0_89,refute_0_263]) ).
cnf(refute_0_265,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != X_147
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = X_147 ),
introduced(tautology,[equality,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),X_147) ),[0],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_266,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != X_147
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = X_147 ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_168,refute_0_265]) ).
cnf(refute_0_267,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = X_147
| member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),X_147) )],[refute_0_264,refute_0_266]) ).
cnf(refute_0_268,plain,
skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_269,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) != skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),[1,1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_270,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_168,refute_0_270]) ).
cnf(refute_0_272,plain,
( skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) != skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| ~ member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147)
| member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),X_147) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147) ),[0],$fot(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_273,plain,
( ~ member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147)
| member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),X_147) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = X_147
| member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),X_147) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_147,difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),X_147) )],[refute_0_267,refute_0_273]) ).
cnf(refute_0_275,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))
| member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))) ),
inference(subst,[],[refute_0_274:[bind(X_147,$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))))]]) ).
cnf(refute_0_276,plain,
( ~ member(D,difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))))
| ~ subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),difference(X_132,X_132)) ),
inference(subst,[],[refute_0_80:[bind(B,$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458)))))]]) ).
cnf(refute_0_277,plain,
subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),difference(X_132,X_132)),
inference(subst,[],[refute_0_260:[bind(X_12,$fot(difference(X_132,X_132))),bind(X_445,$fot(X_458)),bind(X_446,$fot(X_459))]]) ).
cnf(refute_0_278,plain,
~ member(D,difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458)))),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),difference(X_132,X_132)) )],[refute_0_277,refute_0_276]) ).
cnf(refute_0_279,plain,
~ member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))),
inference(subst,[],[refute_0_278:[bind(D,$fot(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))),bind(X_458,$fot(X_474)),bind(X_459,$fot(X_475))]]) ).
cnf(refute_0_280,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))) )],[refute_0_275,refute_0_279]) ).
cnf(refute_0_281,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))
| difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474))) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))),bind(Y,$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))))]]) ).
cnf(refute_0_282,plain,
difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474))) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_475,skolemFOFtoCNF_C),X_474)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_282:[bind(X_474,$fot(X_458)),bind(X_475,$fot(X_459))]]) ).
cnf(refute_0_284,plain,
( difference(X_56,X_56) != difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458)))
| difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| difference(X_56,X_56) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(X_56,X_56),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),[0],$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))))]]) ).
cnf(refute_0_285,plain,
( difference(X_56,X_56) != difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458)))
| difference(X_56,X_56) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458))),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
difference(X_56,X_56) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(X_56,X_56),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(difference(X_459,skolemFOFtoCNF_C),X_458)))) )],[refute_0_262,refute_0_285]) ).
cnf(refute_0_287,plain,
difference(difference(X_560,X_561),difference(X_560,X_561)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_286:[bind(X_56,$fot(difference(X_560,X_561)))]]) ).
cnf(refute_0_288,plain,
( difference(difference(X_560,X_561),difference(X_560,X_561)) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| ~ member(skolemFOFtoCNF_D(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561)))
| member(skolemFOFtoCNF_D(X_560,X_561),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561))) ),[1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_289,plain,
( ~ member(skolemFOFtoCNF_D(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561)))
| member(skolemFOFtoCNF_D(X_560,X_561),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(difference(difference(X_560,X_561),difference(X_560,X_561)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( member(skolemFOFtoCNF_D(X_560,X_561),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| member(skolemFOFtoCNF_D(difference(X_560,X_561),difference(X_23,X_23)),difference(X_560,X_561))
| subset(X_560,X_561) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_560,X_561),difference(difference(X_560,X_561),difference(X_560,X_561))) )],[refute_0_238,refute_0_289]) ).
cnf(refute_0_291,plain,
~ member(skolemFOFtoCNF_D(X_560,X_561),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_102:[bind(X_23,$fot(skolemFOFtoCNF_B)),bind(X_47,$fot(skolemFOFtoCNF_D(X_560,X_561)))]]) ).
cnf(refute_0_292,plain,
( member(skolemFOFtoCNF_D(difference(X_560,X_561),difference(X_23,X_23)),difference(X_560,X_561))
| subset(X_560,X_561) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_560,X_561),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( member(skolemFOFtoCNF_D(difference(X_564,X_565),difference(X_563,X_563)),difference(X_564,X_565))
| subset(X_564,X_565) ),
inference(subst,[],[refute_0_292:[bind(X_23,$fot(X_563)),bind(X_560,$fot(X_564)),bind(X_561,$fot(X_565))]]) ).
cnf(refute_0_294,plain,
( ~ subset(difference(X_564,X_565),difference(X_132,X_132))
| subset(X_564,X_565) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(difference(X_564,X_565),difference(X_563,X_563)),difference(X_564,X_565)) )],[refute_0_293,refute_0_233]) ).
cnf(refute_0_295,plain,
( ~ subset(difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(X_132,X_132))
| subset(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(subst,[],[refute_0_294:[bind(X_564,$fot(difference(skolemFOFtoCNF_B,X_2039))),bind(X_565,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_296,plain,
( ~ subset(X_1408,difference(X_1408,difference(X_1407,X_1408)))
| X_1408 = difference(X_1408,difference(X_1407,X_1408)) ),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(X_1408)),bind(X_69,$fot(difference(X_1407,X_1408)))]]) ).
cnf(refute_0_297,plain,
( member(skolemFOFtoCNF_D(X_1405,difference(X_1405,difference(X_1404,X_1405))),X_1405)
| subset(X_1405,difference(X_1405,difference(X_1404,X_1405))) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(X_1405)),bind(X_12,$fot(difference(X_1405,difference(X_1404,X_1405))))]]) ).
cnf(refute_0_298,plain,
( ~ member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),C)
| ~ member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),difference(B,C)) ),
inference(subst,[],[refute_0_0:[bind(D,$fot(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C)))))]]) ).
cnf(refute_0_299,plain,
( ~ member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),C)
| subset(X_124,difference(X_124,difference(B,C))) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_124,difference(X_124,difference(B,C))),difference(B,C)) )],[refute_0_185,refute_0_298]) ).
cnf(refute_0_300,plain,
( ~ member(skolemFOFtoCNF_D(X_1405,difference(X_1405,difference(X_1404,X_1405))),X_1405)
| subset(X_1405,difference(X_1405,difference(X_1404,X_1405))) ),
inference(subst,[],[refute_0_299:[bind(B,$fot(X_1404)),bind(C,$fot(X_1405)),bind(X_124,$fot(X_1405))]]) ).
cnf(refute_0_301,plain,
subset(X_1405,difference(X_1405,difference(X_1404,X_1405))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_1405,difference(X_1405,difference(X_1404,X_1405))),X_1405) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
subset(X_1408,difference(X_1408,difference(X_1407,X_1408))),
inference(subst,[],[refute_0_301:[bind(X_1404,$fot(X_1407)),bind(X_1405,$fot(X_1408))]]) ).
cnf(refute_0_303,plain,
X_1408 = difference(X_1408,difference(X_1407,X_1408)),
inference(resolve,[$cnf( subset(X_1408,difference(X_1408,difference(X_1407,X_1408))) )],[refute_0_302,refute_0_296]) ).
cnf(refute_0_304,plain,
difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),
inference(subst,[],[refute_0_303:[bind(X_1407,$fot(skolemFOFtoCNF_B)),bind(X_1408,$fot(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))]]) ).
cnf(refute_0_305,plain,
( ~ subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))
| skolemFOFtoCNF_B = difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) ),
inference(subst,[],[refute_0_23:[bind(X_68,$fot(skolemFOFtoCNF_B)),bind(X_69,$fot(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))]]) ).
cnf(refute_0_306,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) ),
inference(subst,[],[refute_0_66:[bind(X_115,$fot(skolemFOFtoCNF_B)),bind(X_116,$fot(difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))]]) ).
cnf(refute_0_307,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_362),difference(X_363,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_362),difference(skolemFOFtoCNF_C,difference(X_363,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(difference(X_363,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_362)))]]) ).
cnf(refute_0_308,plain,
( ~ subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_315,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_C,difference(X_315,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))
| subset(skolemFOFtoCNF_B,X_114) ),
inference(subst,[],[refute_0_96:[bind(X_115,$fot(skolemFOFtoCNF_B)),bind(X_116,$fot(difference(skolemFOFtoCNF_C,difference(X_315,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))))]]) ).
cnf(refute_0_309,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| subset(skolemFOFtoCNF_B,X_114) ),
inference(subst,[],[refute_0_64:[bind(X_12,$fot(X_114)),bind(X_60,$fot(skolemFOFtoCNF_B)),bind(X_61,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_310,plain,
( ~ subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(subst,[],[refute_0_45:[bind(X_44,$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))]]) ).
cnf(refute_0_311,plain,
( ~ subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),X_12) ),
inference(subst,[],[refute_0_30:[bind(X_18,$fot(skolemFOFtoCNF_B)),bind(X_19,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_312,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(skolemFOFtoCNF_B)),bind(X_12,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_313,plain,
( ~ member(E,skolemFOFtoCNF_B)
| ~ member(E,skolemFOFtoCNF_D_1) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_314,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B)
| ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_D_1) ),
inference(subst,[],[refute_0_313:[bind(E,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))]]) ).
cnf(refute_0_315,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_D_1)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(subst,[],[refute_0_145:[bind(X_97,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_316,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_D_1) )],[refute_0_315,refute_0_314]) ).
cnf(refute_0_317,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B) )],[refute_0_312,refute_0_316]) ).
cnf(refute_0_318,plain,
subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),X_12),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_317,refute_0_311]) ).
cnf(refute_0_319,plain,
subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_318:[bind(X_12,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_320,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_319,refute_0_310]) ).
cnf(refute_0_321,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(Y,$fot(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))]]) ).
cnf(refute_0_322,plain,
difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) ),[1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_324,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| subset(skolemFOFtoCNF_B,X_114) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) )],[refute_0_309,refute_0_324]) ).
cnf(refute_0_326,plain,
~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_58:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114)))]]) ).
cnf(refute_0_327,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| subset(skolemFOFtoCNF_B,X_114) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) ),
inference(subst,[],[refute_0_327:[bind(X_114,$fot(difference(skolemFOFtoCNF_C,difference(X_311,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))))]]) ).
cnf(refute_0_329,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) ),
inference(subst,[],[refute_0_147:[bind(B,$fot(X_311)),bind(C,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_330,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_311,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_315,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),
inference(subst,[],[refute_0_330:[bind(X_311,$fot(X_315))]]) ).
cnf(refute_0_332,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_114),difference(skolemFOFtoCNF_C,difference(X_315,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))
| subset(skolemFOFtoCNF_B,X_114) ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,difference(X_315,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) )],[refute_0_331,refute_0_308]) ).
cnf(refute_0_333,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_362),difference(skolemFOFtoCNF_C,difference(X_363,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))
| subset(skolemFOFtoCNF_B,X_362) ),
inference(subst,[],[refute_0_332:[bind(X_114,$fot(X_362)),bind(X_315,$fot(X_363))]]) ).
cnf(refute_0_334,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_362),difference(X_363,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| subset(skolemFOFtoCNF_B,X_362) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_362),difference(skolemFOFtoCNF_C,difference(X_363,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) )],[refute_0_333,refute_0_307]) ).
cnf(refute_0_335,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) ),
inference(subst,[],[refute_0_334:[bind(X_362,$fot(difference(skolemFOFtoCNF_B,difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))),bind(X_363,$fot(X_1178))]]) ).
cnf(refute_0_336,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),difference(X_1178,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) )],[refute_0_306,refute_0_335]) ).
cnf(refute_0_337,plain,
subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))),
inference(subst,[],[refute_0_336:[bind(X_1178,$fot(X_1179))]]) ).
cnf(refute_0_338,plain,
skolemFOFtoCNF_B = difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) )],[refute_0_337,refute_0_305]) ).
cnf(refute_0_339,plain,
( skolemFOFtoCNF_B != difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))
| difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_51:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))))]]) ).
cnf(refute_0_340,plain,
difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) = skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
( difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) != difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))
| difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))) != skolemFOFtoCNF_B
| difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))) ),[1,1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_342,plain,
( difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) != difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))
| difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))),skolemFOFtoCNF_B) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,difference(X_1179,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))))) )],[refute_0_304,refute_0_342]) ).
cnf(refute_0_344,plain,
difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B),
inference(subst,[],[refute_0_343:[bind(X_1179,$fot(difference(skolemFOFtoCNF_B,X_2037)))]]) ).
cnf(refute_0_345,plain,
difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_180:[bind(X_2033,$fot(skolemFOFtoCNF_B)),bind(X_2034,$fot(X_2037)),bind(X_2035,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_346,plain,
( difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) != difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B)
| difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B)) ),[1],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_347,plain,
( difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) != difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B)
| difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(difference(difference(skolemFOFtoCNF_B,X_2037),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),skolemFOFtoCNF_B)) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) = difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_348:[bind(X_2037,$fot(X_2039))]]) ).
cnf(refute_0_350,plain,
( difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) != difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| ~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_132,X_132))
| subset(difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(X_132,X_132)) ),
introduced(tautology,[equality,[$cnf( ~ subset(difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(X_132,X_132)) ),[0],$fot(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_351,plain,
( ~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_132,X_132))
| subset(difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(X_132,X_132)) ),
inference(resolve,[$cnf( $equal(difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( ~ subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_132,X_132))
| subset(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(resolve,[$cnf( subset(difference(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),difference(X_132,X_132)) )],[refute_0_351,refute_0_295]) ).
cnf(refute_0_353,plain,
subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_132,X_132)),
inference(subst,[],[refute_0_32:[bind(X_21,$fot(difference(X_132,X_132))),bind(X_23,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_354,plain,
subset(difference(skolemFOFtoCNF_B,X_2039),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_B),difference(X_132,X_132)) )],[refute_0_353,refute_0_352]) ).
cnf(refute_0_355,plain,
subset(difference(skolemFOFtoCNF_B,X_2040),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(subst,[],[refute_0_354:[bind(X_2039,$fot(X_2040))]]) ).
cnf(refute_0_356,plain,
( ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,X_2040))
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = difference(skolemFOFtoCNF_B,X_2040) ),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B,X_2040),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_355,refute_0_232]) ).
cnf(refute_0_357,plain,
( ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)))
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)) ),
inference(subst,[],[refute_0_356:[bind(X_2040,$fot(difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)))]]) ).
cnf(refute_0_358,plain,
difference(X_1315,difference(X_1409,X_1315)) = difference(difference(X_1315,difference(X_1409,X_1315)),difference(difference(X_1409,X_1315),X_1317)),
inference(subst,[],[refute_0_190:[bind(X_1316,$fot(difference(X_1409,X_1315)))]]) ).
cnf(refute_0_359,plain,
X_1315 = difference(X_1315,difference(X_1409,X_1315)),
inference(subst,[],[refute_0_303:[bind(X_1407,$fot(X_1409)),bind(X_1408,$fot(X_1315))]]) ).
cnf(refute_0_360,plain,
( X_1315 != difference(X_1315,difference(X_1409,X_1315))
| difference(X_1315,difference(X_1409,X_1315)) = X_1315 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_1315)),bind(Y,$fot(difference(X_1315,difference(X_1409,X_1315))))]]) ).
cnf(refute_0_361,plain,
difference(X_1315,difference(X_1409,X_1315)) = X_1315,
inference(resolve,[$cnf( $equal(X_1315,difference(X_1315,difference(X_1409,X_1315))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
( difference(X_1315,difference(X_1409,X_1315)) != X_1315
| difference(X_1315,difference(X_1409,X_1315)) != difference(difference(X_1315,difference(X_1409,X_1315)),difference(difference(X_1409,X_1315),X_1317))
| difference(X_1315,difference(X_1409,X_1315)) = difference(X_1315,difference(difference(X_1409,X_1315),X_1317)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_1315,difference(X_1409,X_1315)),difference(difference(X_1315,difference(X_1409,X_1315)),difference(difference(X_1409,X_1315),X_1317))) ),[1,0],$fot(X_1315)]]) ).
cnf(refute_0_363,plain,
( difference(X_1315,difference(X_1409,X_1315)) != difference(difference(X_1315,difference(X_1409,X_1315)),difference(difference(X_1409,X_1315),X_1317))
| difference(X_1315,difference(X_1409,X_1315)) = difference(X_1315,difference(difference(X_1409,X_1315),X_1317)) ),
inference(resolve,[$cnf( $equal(difference(X_1315,difference(X_1409,X_1315)),X_1315) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
difference(X_1315,difference(X_1409,X_1315)) = difference(X_1315,difference(difference(X_1409,X_1315),X_1317)),
inference(resolve,[$cnf( $equal(difference(X_1315,difference(X_1409,X_1315)),difference(difference(X_1315,difference(X_1409,X_1315)),difference(difference(X_1409,X_1315),X_1317))) )],[refute_0_358,refute_0_363]) ).
cnf(refute_0_365,plain,
( difference(X_1315,difference(X_1409,X_1315)) != X_1315
| difference(X_1315,difference(X_1409,X_1315)) != difference(X_1315,difference(difference(X_1409,X_1315),X_1317))
| X_1315 = difference(X_1315,difference(difference(X_1409,X_1315),X_1317)) ),
introduced(tautology,[equality,[$cnf( $equal(difference(X_1315,difference(X_1409,X_1315)),difference(X_1315,difference(difference(X_1409,X_1315),X_1317))) ),[0],$fot(X_1315)]]) ).
cnf(refute_0_366,plain,
( difference(X_1315,difference(X_1409,X_1315)) != difference(X_1315,difference(difference(X_1409,X_1315),X_1317))
| X_1315 = difference(X_1315,difference(difference(X_1409,X_1315),X_1317)) ),
inference(resolve,[$cnf( $equal(difference(X_1315,difference(X_1409,X_1315)),X_1315) )],[refute_0_361,refute_0_365]) ).
cnf(refute_0_367,plain,
X_1315 = difference(X_1315,difference(difference(X_1409,X_1315),X_1317)),
inference(resolve,[$cnf( $equal(difference(X_1315,difference(X_1409,X_1315)),difference(X_1315,difference(difference(X_1409,X_1315),X_1317))) )],[refute_0_364,refute_0_366]) ).
cnf(refute_0_368,plain,
skolemFOFtoCNF_B = difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)),
inference(subst,[],[refute_0_367:[bind(X_1315,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_369,plain,
( skolemFOFtoCNF_B != difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))
| difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)) = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_51:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))))]]) ).
cnf(refute_0_370,plain,
difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)) = skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
( difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)) != skolemFOFtoCNF_B
| ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B)
| subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))) ),
introduced(tautology,[equality,[$cnf( ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))) ),[1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_372,plain,
( ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B)
| subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)),skolemFOFtoCNF_B) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
( ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B)
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)) ),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))) )],[refute_0_372,refute_0_357]) ).
cnf(refute_0_374,plain,
( difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)) != skolemFOFtoCNF_B
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) != difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = skolemFOFtoCNF_B ),
introduced(tautology,[equality,[$cnf( $equal(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))) ),[1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_375,plain,
( difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) != difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317)),skolemFOFtoCNF_B) )],[refute_0_370,refute_0_374]) ).
cnf(refute_0_376,plain,
( ~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B)
| difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),difference(skolemFOFtoCNF_B,difference(difference(X_1409,skolemFOFtoCNF_B),X_1317))) )],[refute_0_373,refute_0_375]) ).
cnf(refute_0_377,plain,
skolemFOFtoCNF_B != difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_378,plain,
( difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) != skolemFOFtoCNF_B
| skolemFOFtoCNF_B = difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))),bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_379,plain,
difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) != skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_378,refute_0_377]) ).
cnf(refute_0_380,plain,
~ subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
$false,
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B) )],[refute_0_231,refute_0_380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET579+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 04:36:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 10.87/11.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.87/11.05
% 10.87/11.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.90/11.08
%------------------------------------------------------------------------------