%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET617+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 03:36:01 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 95 ( 63 unt; 0 def)
% Number of atoms : 140 ( 138 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 97 ( 52 ~; 40 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 2 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(symmetric_difference_defn,axiom,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) ).
fof(union_empty_set,axiom,
! [B] : union(B,empty_set) = B ).
fof(no_difference_with_empty_set1,axiom,
! [B] : difference(B,empty_set) = B ).
fof(no_difference_with_empty_set2,axiom,
! [B] : difference(empty_set,B) = empty_set ).
fof(commutativity_of_union,axiom,
! [B,C] : union(B,C) = union(C,B) ).
fof(commutativity_of_symmetric_difference,axiom,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B) ).
fof(prove_th92,conjecture,
! [B] :
( symmetric_difference(B,empty_set) = B
& symmetric_difference(empty_set,B) = B ) ).
fof(subgoal_0,plain,
! [B] : symmetric_difference(B,empty_set) = B,
inference(strip,[],[prove_th92]) ).
fof(subgoal_1,plain,
! [B] :
( symmetric_difference(B,empty_set) = B
=> symmetric_difference(empty_set,B) = B ),
inference(strip,[],[prove_th92]) ).
fof(negate_0_0,plain,
~ ! [B] : symmetric_difference(B,empty_set) = B,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [B] : symmetric_difference(B,empty_set) != B,
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
symmetric_difference(skolemFOFtoCNF_B,empty_set) != skolemFOFtoCNF_B,
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B),
inference(canonicalize,[],[commutativity_of_symmetric_difference]) ).
fof(normalize_0_3,plain,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[symmetric_difference_defn]) ).
fof(normalize_0_5,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B] : difference(B,empty_set) = B,
inference(canonicalize,[],[no_difference_with_empty_set1]) ).
fof(normalize_0_7,plain,
! [B] : difference(B,empty_set) = B,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B] : union(B,empty_set) = B,
inference(canonicalize,[],[union_empty_set]) ).
fof(normalize_0_9,plain,
! [B] : union(B,empty_set) = B,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B] : difference(empty_set,B) = empty_set,
inference(canonicalize,[],[no_difference_with_empty_set2]) ).
fof(normalize_0_11,plain,
! [B] : difference(empty_set,B) = empty_set,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [B,C] : union(B,C) = union(C,B),
inference(canonicalize,[],[commutativity_of_union]) ).
fof(normalize_0_13,plain,
! [B,C] : union(B,C) = union(C,B),
inference(specialize,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
symmetric_difference(skolemFOFtoCNF_B,empty_set) != skolemFOFtoCNF_B,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
symmetric_difference(B,C) = symmetric_difference(C,B),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( symmetric_difference(B,C) != symmetric_difference(C,B)
| symmetric_difference(C,B) = symmetric_difference(B,C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(symmetric_difference(B,C))),bind(Y,$fot(symmetric_difference(C,B)))]]) ).
cnf(refute_0_6,plain,
symmetric_difference(C,B) = symmetric_difference(B,C),
inference(resolve,[$cnf( $equal(symmetric_difference(B,C),symmetric_difference(C,B)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
symmetric_difference(skolemFOFtoCNF_B,empty_set) = symmetric_difference(empty_set,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_6:[bind(B,$fot(empty_set)),bind(C,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_8,plain,
( symmetric_difference(empty_set,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| symmetric_difference(skolemFOFtoCNF_B,empty_set) != symmetric_difference(empty_set,skolemFOFtoCNF_B)
| symmetric_difference(skolemFOFtoCNF_B,empty_set) = skolemFOFtoCNF_B ),
introduced(tautology,[equality,[$cnf( $equal(symmetric_difference(skolemFOFtoCNF_B,empty_set),symmetric_difference(empty_set,skolemFOFtoCNF_B)) ),[1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_9,plain,
( symmetric_difference(empty_set,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| symmetric_difference(skolemFOFtoCNF_B,empty_set) = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(symmetric_difference(skolemFOFtoCNF_B,empty_set),symmetric_difference(empty_set,skolemFOFtoCNF_B)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
symmetric_difference(empty_set,skolemFOFtoCNF_B) != skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(symmetric_difference(skolemFOFtoCNF_B,empty_set),skolemFOFtoCNF_B) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
symmetric_difference(empty_set,X_14) = union(difference(empty_set,X_14),difference(X_14,empty_set)),
inference(subst,[],[refute_0_11:[bind(B,$fot(empty_set)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_13,plain,
difference(B,empty_set) = B,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
difference(X_14,empty_set) = X_14,
inference(subst,[],[refute_0_13:[bind(B,$fot(X_14))]]) ).
cnf(refute_0_15,plain,
( difference(X_14,empty_set) != X_14
| symmetric_difference(empty_set,X_14) != union(difference(empty_set,X_14),difference(X_14,empty_set))
| symmetric_difference(empty_set,X_14) = union(difference(empty_set,X_14),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(symmetric_difference(empty_set,X_14),union(difference(empty_set,X_14),difference(X_14,empty_set))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_16,plain,
( symmetric_difference(empty_set,X_14) != union(difference(empty_set,X_14),difference(X_14,empty_set))
| symmetric_difference(empty_set,X_14) = union(difference(empty_set,X_14),X_14) ),
inference(resolve,[$cnf( $equal(difference(X_14,empty_set),X_14) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
symmetric_difference(empty_set,X_14) = union(difference(empty_set,X_14),X_14),
inference(resolve,[$cnf( $equal(symmetric_difference(empty_set,X_14),union(difference(empty_set,X_14),difference(X_14,empty_set))) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
union(B,empty_set) = B,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_19,plain,
union(X_14,empty_set) = X_14,
inference(subst,[],[refute_0_18:[bind(B,$fot(X_14))]]) ).
cnf(refute_0_20,plain,
difference(empty_set,B) = empty_set,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_21,plain,
difference(empty_set,X_14) = empty_set,
inference(subst,[],[refute_0_20:[bind(B,$fot(X_14))]]) ).
cnf(refute_0_22,plain,
union(X_14,difference(empty_set,X_14)) = union(X_14,difference(empty_set,X_14)),
introduced(tautology,[refl,[$fot(union(X_14,difference(empty_set,X_14)))]]) ).
cnf(refute_0_23,plain,
( difference(empty_set,X_14) != empty_set
| union(X_14,difference(empty_set,X_14)) != union(X_14,difference(empty_set,X_14))
| union(X_14,difference(empty_set,X_14)) = union(X_14,empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_14,difference(empty_set,X_14)),union(X_14,difference(empty_set,X_14))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_24,plain,
( difference(empty_set,X_14) != empty_set
| union(X_14,difference(empty_set,X_14)) = union(X_14,empty_set) ),
inference(resolve,[$cnf( $equal(union(X_14,difference(empty_set,X_14)),union(X_14,difference(empty_set,X_14))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
union(X_14,difference(empty_set,X_14)) = union(X_14,empty_set),
inference(resolve,[$cnf( $equal(difference(empty_set,X_14),empty_set) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_26]) ).
cnf(refute_0_28,plain,
( union(X_14,difference(empty_set,X_14)) != union(X_14,empty_set)
| union(X_14,empty_set) != X_14
| union(X_14,difference(empty_set,X_14)) = X_14 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(union(X_14,difference(empty_set,X_14)))),bind(Y,$fot(union(X_14,empty_set))),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_29,plain,
( union(X_14,empty_set) != X_14
| union(X_14,difference(empty_set,X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(union(X_14,difference(empty_set,X_14)),union(X_14,empty_set)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
union(X_14,difference(empty_set,X_14)) = X_14,
inference(resolve,[$cnf( $equal(union(X_14,empty_set),X_14) )],[refute_0_19,refute_0_29]) ).
cnf(refute_0_31,plain,
union(B,C) = union(C,B),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_32,plain,
( union(B,C) != union(C,B)
| union(C,B) = union(B,C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(B,C))),bind(Y,$fot(union(C,B)))]]) ).
cnf(refute_0_33,plain,
union(C,B) = union(B,C),
inference(resolve,[$cnf( $equal(union(B,C),union(C,B)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
union(difference(empty_set,X_14),X_14) = union(X_14,difference(empty_set,X_14)),
inference(subst,[],[refute_0_33:[bind(B,$fot(X_14)),bind(C,$fot(difference(empty_set,X_14)))]]) ).
cnf(refute_0_35,plain,
( union(X_14,difference(empty_set,X_14)) != X_14
| union(difference(empty_set,X_14),X_14) != union(X_14,difference(empty_set,X_14))
| union(difference(empty_set,X_14),X_14) = X_14 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(union(difference(empty_set,X_14),X_14))),bind(Y,$fot(union(X_14,difference(empty_set,X_14)))),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_36,plain,
( union(X_14,difference(empty_set,X_14)) != X_14
| union(difference(empty_set,X_14),X_14) = X_14 ),
inference(resolve,[$cnf( $equal(union(difference(empty_set,X_14),X_14),union(X_14,difference(empty_set,X_14))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
union(difference(empty_set,X_14),X_14) = X_14,
inference(resolve,[$cnf( $equal(union(X_14,difference(empty_set,X_14)),X_14) )],[refute_0_30,refute_0_36]) ).
cnf(refute_0_38,plain,
( symmetric_difference(empty_set,X_14) != union(difference(empty_set,X_14),X_14)
| union(difference(empty_set,X_14),X_14) != X_14
| symmetric_difference(empty_set,X_14) = X_14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(symmetric_difference(empty_set,X_14),X_14) ),[0],$fot(union(difference(empty_set,X_14),X_14))]]) ).
cnf(refute_0_39,plain,
( symmetric_difference(empty_set,X_14) != union(difference(empty_set,X_14),X_14)
| symmetric_difference(empty_set,X_14) = X_14 ),
inference(resolve,[$cnf( $equal(union(difference(empty_set,X_14),X_14),X_14) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
symmetric_difference(empty_set,X_14) = X_14,
inference(resolve,[$cnf( $equal(symmetric_difference(empty_set,X_14),union(difference(empty_set,X_14),X_14)) )],[refute_0_17,refute_0_39]) ).
cnf(refute_0_41,plain,
symmetric_difference(empty_set,skolemFOFtoCNF_B) = skolemFOFtoCNF_B,
inference(subst,[],[refute_0_40:[bind(X_14,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_42,plain,
( skolemFOFtoCNF_B != skolemFOFtoCNF_B
| symmetric_difference(empty_set,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| symmetric_difference(empty_set,skolemFOFtoCNF_B) = skolemFOFtoCNF_B ),
introduced(tautology,[equality,[$cnf( $equal(symmetric_difference(empty_set,skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),[0,1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_B != skolemFOFtoCNF_B
| symmetric_difference(empty_set,skolemFOFtoCNF_B) = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(symmetric_difference(empty_set,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
skolemFOFtoCNF_B != skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(symmetric_difference(empty_set,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_43,refute_0_10]) ).
cnf(refute_0_45,plain,
skolemFOFtoCNF_B = skolemFOFtoCNF_B,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_46,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,skolemFOFtoCNF_B) )],[refute_0_45,refute_0_44]) ).
fof(negate_1_0,plain,
~ ! [B] :
( symmetric_difference(B,empty_set) = B
=> symmetric_difference(empty_set,B) = B ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [B] :
( symmetric_difference(empty_set,B) != B
& symmetric_difference(B,empty_set) = B ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( symmetric_difference(empty_set,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_B_1
& symmetric_difference(skolemFOFtoCNF_B_1,empty_set) = skolemFOFtoCNF_B_1 ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
symmetric_difference(empty_set,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_B_1,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
symmetric_difference(skolemFOFtoCNF_B_1,empty_set) = skolemFOFtoCNF_B_1,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_4,plain,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B),
inference(canonicalize,[],[commutativity_of_symmetric_difference]) ).
fof(normalize_1_5,plain,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B),
inference(specialize,[],[normalize_1_4]) ).
cnf(refute_1_0,plain,
symmetric_difference(empty_set,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_B_1,
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
symmetric_difference(skolemFOFtoCNF_B_1,empty_set) = skolemFOFtoCNF_B_1,
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
symmetric_difference(B,C) = symmetric_difference(C,B),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_3,refute_1_4]) ).
cnf(refute_1_6,plain,
( symmetric_difference(B,C) != symmetric_difference(C,B)
| symmetric_difference(C,B) = symmetric_difference(B,C) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(symmetric_difference(B,C))),bind(Y,$fot(symmetric_difference(C,B)))]]) ).
cnf(refute_1_7,plain,
symmetric_difference(C,B) = symmetric_difference(B,C),
inference(resolve,[$cnf( $equal(symmetric_difference(B,C),symmetric_difference(C,B)) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
symmetric_difference(skolemFOFtoCNF_B_1,empty_set) = symmetric_difference(empty_set,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_1_7:[bind(B,$fot(empty_set)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_9,plain,
( symmetric_difference(skolemFOFtoCNF_B_1,empty_set) != skolemFOFtoCNF_B_1
| symmetric_difference(skolemFOFtoCNF_B_1,empty_set) != symmetric_difference(empty_set,skolemFOFtoCNF_B_1)
| symmetric_difference(empty_set,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_B_1 ),
introduced(tautology,[equality,[$cnf( $equal(symmetric_difference(skolemFOFtoCNF_B_1,empty_set),skolemFOFtoCNF_B_1) ),[0],$fot(symmetric_difference(empty_set,skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_10,plain,
( symmetric_difference(skolemFOFtoCNF_B_1,empty_set) != skolemFOFtoCNF_B_1
| symmetric_difference(empty_set,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_B_1 ),
inference(resolve,[$cnf( $equal(symmetric_difference(skolemFOFtoCNF_B_1,empty_set),symmetric_difference(empty_set,skolemFOFtoCNF_B_1)) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
symmetric_difference(empty_set,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_B_1,
inference(resolve,[$cnf( $equal(symmetric_difference(skolemFOFtoCNF_B_1,empty_set),skolemFOFtoCNF_B_1) )],[refute_1_1,refute_1_10]) ).
cnf(refute_1_12,plain,
( skolemFOFtoCNF_B_1 != skolemFOFtoCNF_B_1
| symmetric_difference(empty_set,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_B_1
| symmetric_difference(empty_set,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_B_1 ),
introduced(tautology,[equality,[$cnf( $equal(symmetric_difference(empty_set,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1) ),[0,1],$fot(skolemFOFtoCNF_B_1)]]) ).
cnf(refute_1_13,plain,
( skolemFOFtoCNF_B_1 != skolemFOFtoCNF_B_1
| symmetric_difference(empty_set,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_B_1 ),
inference(resolve,[$cnf( $equal(symmetric_difference(empty_set,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
skolemFOFtoCNF_B_1 != skolemFOFtoCNF_B_1,
inference(resolve,[$cnf( $equal(symmetric_difference(empty_set,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1) )],[refute_1_13,refute_1_0]) ).
cnf(refute_1_15,plain,
skolemFOFtoCNF_B_1 = skolemFOFtoCNF_B_1,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_B_1)]]) ).
cnf(refute_1_16,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_1_15,refute_1_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET617+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % 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 : Sun Jul 10 07:57:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36
%------------------------------------------------------------------------------