%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 03:36:11 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 97 ( 23 unt; 0 def)
% Number of atoms : 218 ( 33 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 215 ( 94 ~; 81 |; 23 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 137 ( 6 sgn 71 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subset_defn,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ) ).
fof(intersect_defn,axiom,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,B)
& member(D,C) ) ) ).
fof(empty_set_defn,axiom,
! [B] : ~ member(B,empty_set) ).
fof(disjoint_defn,axiom,
! [B,C] :
( disjoint(B,C)
<=> ~ intersect(B,C) ) ).
fof(equal_defn,axiom,
! [B,C] :
( B = C
<=> ( subset(B,C)
& subset(C,B) ) ) ).
fof(symmetry_of_intersect,axiom,
! [B,C] :
( intersect(B,C)
=> intersect(C,B) ) ).
fof(prove_th114,conjecture,
! [B,C,D] :
( ( subset(B,C)
& subset(B,D)
& disjoint(C,D) )
=> B = empty_set ) ).
fof(subgoal_0,plain,
! [B,C,D] :
( ( subset(B,C)
& subset(B,D)
& disjoint(C,D) )
=> B = empty_set ),
inference(strip,[],[prove_th114]) ).
fof(negate_0_0,plain,
~ ! [B,C,D] :
( ( subset(B,C)
& subset(B,D)
& disjoint(C,D) )
=> B = empty_set ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [B,C] :
( ~ disjoint(B,C)
<=> intersect(B,C) ),
inference(canonicalize,[],[disjoint_defn]) ).
fof(normalize_0_1,plain,
! [B,C] :
( ~ disjoint(B,C)
<=> intersect(B,C) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B,C] :
( ( ~ disjoint(B,C)
| ~ intersect(B,C) )
& ( disjoint(B,C)
| intersect(B,C) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B,C] :
( ~ disjoint(B,C)
| ~ intersect(B,C) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C] :
( ~ intersect(B,C)
<=> ! [D] :
( ~ member(D,B)
| ~ member(D,C) ) ),
inference(canonicalize,[],[intersect_defn]) ).
fof(normalize_0_5,plain,
! [B,C] :
( ~ intersect(B,C)
<=> ! [D] :
( ~ member(D,B)
| ~ member(D,C) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B,C,D] :
( ( ~ intersect(B,C)
| member(skolemFOFtoCNF_D_1(B,C),B) )
& ( ~ intersect(B,C)
| member(skolemFOFtoCNF_D_1(B,C),C) )
& ( ~ member(D,B)
| ~ member(D,C)
| intersect(B,C) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B,C] :
( ~ intersect(B,C)
| member(skolemFOFtoCNF_D_1(B,C),C) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B,C,D] :
( ~ member(D,B)
| ~ member(D,C)
| intersect(B,C) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_9,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(canonicalize,[],[subset_defn]) ).
fof(normalize_0_10,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [B,C,D] :
( ( ~ member(skolemFOFtoCNF_D(B,C),C)
| subset(B,C) )
& ( member(skolemFOFtoCNF_D(B,C),B)
| subset(B,C) )
& ( ~ member(D,B)
| ~ subset(B,C)
| member(D,C) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [B,C] :
( member(skolemFOFtoCNF_D(B,C),B)
| subset(B,C) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [B] : ~ member(B,empty_set),
inference(canonicalize,[],[empty_set_defn]) ).
fof(normalize_0_14,plain,
! [B] : ~ member(B,empty_set),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(canonicalize,[],[equal_defn]) ).
fof(normalize_0_16,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,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_16]) ).
fof(normalize_0_18,plain,
! [B,C] :
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
? [B,C,D] :
( B != empty_set
& disjoint(C,D)
& subset(B,C)
& subset(B,D) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_20,plain,
( skolemFOFtoCNF_B != empty_set
& disjoint(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)
& subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1)
& subset(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2) ),
inference(skolemize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [B,C,D] :
( ~ member(D,B)
| ~ subset(B,C)
| member(D,C) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_23,plain,
skolemFOFtoCNF_B != empty_set,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_24,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_25,plain,
disjoint(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_26,plain,
! [B,C] :
( disjoint(B,C)
| intersect(B,C) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_27,plain,
! [B,C] :
( ~ intersect(B,C)
| intersect(C,B) ),
inference(canonicalize,[],[symmetry_of_intersect]) ).
fof(normalize_0_28,plain,
! [B,C] :
( ~ intersect(B,C)
| intersect(C,B) ),
inference(specialize,[],[normalize_0_27]) ).
cnf(refute_0_0,plain,
( ~ disjoint(B,C)
| ~ intersect(B,C) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ disjoint(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1)
| ~ intersect(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_D_2)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_2,plain,
( ~ intersect(B,C)
| member(skolemFOFtoCNF_D_1(B,C),C) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ intersect(X_62,X_62)
| member(skolemFOFtoCNF_D_1(X_62,X_62),X_62) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_62)),bind(C,$fot(X_62))]]) ).
cnf(refute_0_4,plain,
( ~ member(D,B)
| ~ member(D,C)
| intersect(B,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ member(skolemFOFtoCNF_D(X_21,X_22),X_21)
| intersect(X_21,X_21) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_21)),bind(C,$fot(X_21)),bind(D,$fot(skolemFOFtoCNF_D(X_21,X_22)))]]) ).
cnf(refute_0_6,plain,
( member(skolemFOFtoCNF_D(B,C),B)
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( member(skolemFOFtoCNF_D(X_21,X_22),X_21)
| subset(X_21,X_22) ),
inference(subst,[],[refute_0_6:[bind(B,$fot(X_21)),bind(C,$fot(X_22))]]) ).
cnf(refute_0_8,plain,
( intersect(X_21,X_21)
| subset(X_21,X_22) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(X_21,X_22),X_21) )],[refute_0_7,refute_0_5]) ).
cnf(refute_0_9,plain,
( intersect(X_61,X_61)
| subset(X_61,empty_set) ),
inference(subst,[],[refute_0_8:[bind(X_21,$fot(X_61)),bind(X_22,$fot(empty_set))]]) ).
cnf(refute_0_10,plain,
~ member(B,empty_set),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
~ member(skolemFOFtoCNF_D(empty_set,X_22),empty_set),
inference(subst,[],[refute_0_10:[bind(B,$fot(skolemFOFtoCNF_D(empty_set,X_22)))]]) ).
cnf(refute_0_12,plain,
( member(skolemFOFtoCNF_D(empty_set,X_22),empty_set)
| subset(empty_set,X_22) ),
inference(subst,[],[refute_0_6:[bind(B,$fot(empty_set)),bind(C,$fot(X_22))]]) ).
cnf(refute_0_13,plain,
subset(empty_set,X_22),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(empty_set,X_22),empty_set) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
subset(empty_set,X_60),
inference(subst,[],[refute_0_13:[bind(X_22,$fot(X_60))]]) ).
cnf(refute_0_15,plain,
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ subset(X_60,empty_set)
| ~ subset(empty_set,X_60)
| empty_set = X_60 ),
inference(subst,[],[refute_0_15:[bind(B,$fot(empty_set)),bind(C,$fot(X_60))]]) ).
cnf(refute_0_17,plain,
( ~ subset(X_60,empty_set)
| empty_set = X_60 ),
inference(resolve,[$cnf( subset(empty_set,X_60) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ subset(X_61,empty_set)
| empty_set = X_61 ),
inference(subst,[],[refute_0_17:[bind(X_60,$fot(X_61))]]) ).
cnf(refute_0_19,plain,
( empty_set = X_61
| intersect(X_61,X_61) ),
inference(resolve,[$cnf( subset(X_61,empty_set) )],[refute_0_9,refute_0_18]) ).
cnf(refute_0_20,plain,
( empty_set = X_62
| intersect(X_62,X_62) ),
inference(subst,[],[refute_0_19:[bind(X_61,$fot(X_62))]]) ).
cnf(refute_0_21,plain,
( empty_set = X_62
| member(skolemFOFtoCNF_D_1(X_62,X_62),X_62) ),
inference(resolve,[$cnf( intersect(X_62,X_62) )],[refute_0_20,refute_0_3]) ).
cnf(refute_0_22,plain,
( empty_set = skolemFOFtoCNF_B
| member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_21:[bind(X_62,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_23,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_24,plain,
( ~ member(D,B)
| ~ subset(B,C)
| member(D,C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_25,plain,
( ~ member(X_72,skolemFOFtoCNF_B)
| ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2)
| member(X_72,skolemFOFtoCNF_D_2) ),
inference(subst,[],[refute_0_24:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_D_2)),bind(D,$fot(X_72))]]) ).
cnf(refute_0_26,plain,
( ~ member(X_72,skolemFOFtoCNF_B)
| member(X_72,skolemFOFtoCNF_D_2) ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2) )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_D_2) ),
inference(subst,[],[refute_0_26:[bind(X_72,$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_28,plain,
( empty_set = skolemFOFtoCNF_B
| member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_D_2) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_22,refute_0_27]) ).
cnf(refute_0_29,plain,
skolemFOFtoCNF_B != empty_set,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_30,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_31,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_32,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( empty_set != skolemFOFtoCNF_B
| skolemFOFtoCNF_B = empty_set ),
inference(subst,[],[refute_0_32:[bind(X,$fot(empty_set)),bind(Y,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_34,plain,
empty_set != skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,empty_set) )],[refute_0_33,refute_0_29]) ).
cnf(refute_0_35,plain,
member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_D_2),
inference(resolve,[$cnf( $equal(empty_set,skolemFOFtoCNF_B) )],[refute_0_28,refute_0_34]) ).
cnf(refute_0_36,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_37,plain,
( ~ member(X_72,skolemFOFtoCNF_B)
| ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1)
| member(X_72,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_24:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_72))]]) ).
cnf(refute_0_38,plain,
( ~ member(X_72,skolemFOFtoCNF_B)
| member(X_72,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(X_72,$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_40,plain,
( empty_set = skolemFOFtoCNF_B
| member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_22,refute_0_39]) ).
cnf(refute_0_41,plain,
member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( $equal(empty_set,skolemFOFtoCNF_B) )],[refute_0_40,refute_0_34]) ).
cnf(refute_0_42,plain,
( ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),X_89)
| ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1)
| intersect(X_89,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_89)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_43,plain,
( ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),X_89)
| intersect(X_89,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_D_2)
| intersect(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_43:[bind(X_89,$fot(skolemFOFtoCNF_D_2))]]) ).
cnf(refute_0_45,plain,
intersect(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_D_2) )],[refute_0_35,refute_0_44]) ).
cnf(refute_0_46,plain,
~ disjoint(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( intersect(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1) )],[refute_0_45,refute_0_1]) ).
cnf(refute_0_47,plain,
disjoint(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_48,plain,
( ~ disjoint(X_11,X_12)
| ~ intersect(X_11,X_12) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_49,plain,
( disjoint(B,C)
| intersect(B,C) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_50,plain,
( disjoint(X_9,X_10)
| intersect(X_9,X_10) ),
inference(subst,[],[refute_0_49:[bind(B,$fot(X_9)),bind(C,$fot(X_10))]]) ).
cnf(refute_0_51,plain,
( ~ intersect(B,C)
| intersect(C,B) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_52,plain,
( ~ intersect(X_9,X_10)
| intersect(X_10,X_9) ),
inference(subst,[],[refute_0_51:[bind(B,$fot(X_9)),bind(C,$fot(X_10))]]) ).
cnf(refute_0_53,plain,
( disjoint(X_9,X_10)
| intersect(X_10,X_9) ),
inference(resolve,[$cnf( intersect(X_9,X_10) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
( disjoint(X_12,X_11)
| intersect(X_11,X_12) ),
inference(subst,[],[refute_0_53:[bind(X_10,$fot(X_11)),bind(X_9,$fot(X_12))]]) ).
cnf(refute_0_55,plain,
( ~ disjoint(X_11,X_12)
| disjoint(X_12,X_11) ),
inference(resolve,[$cnf( intersect(X_11,X_12) )],[refute_0_54,refute_0_48]) ).
cnf(refute_0_56,plain,
( ~ disjoint(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)
| disjoint(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_55:[bind(X_11,$fot(skolemFOFtoCNF_C_1)),bind(X_12,$fot(skolemFOFtoCNF_D_2))]]) ).
cnf(refute_0_57,plain,
disjoint(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( disjoint(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2) )],[refute_0_47,refute_0_56]) ).
cnf(refute_0_58,plain,
$false,
inference(resolve,[$cnf( disjoint(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1) )],[refute_0_57,refute_0_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 13:11:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.38
% 0.18/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.38
%------------------------------------------------------------------------------