TSTP Solution File: SET621+3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET621+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 03:36:04 EDT 2022
% Result : Theorem 0.93s 1.13s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 35 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 111 ( 0 sgn 33 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(symmetric_difference_defn,axiom,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) ).
fof(difference_difference_union,axiom,
! [B,C,D] : difference(difference(B,C),D) = difference(B,union(C,D)) ).
fof(difference_distributes_over_union,axiom,
! [B,C,D] : difference(union(B,C),D) = union(difference(B,D),difference(C,D)) ).
fof(prove_th97,conjecture,
! [B,C,D] : difference(symmetric_difference(B,C),D) = union(difference(B,union(C,D)),difference(C,union(B,D))) ).
fof(subgoal_0,plain,
! [B,C,D] : difference(symmetric_difference(B,C),D) = union(difference(B,union(C,D)),difference(C,union(B,D))),
inference(strip,[],[prove_th97]) ).
fof(negate_0_0,plain,
~ ! [B,C,D] : difference(symmetric_difference(B,C),D) = union(difference(B,union(C,D)),difference(C,union(B,D))),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [B,C,D] : difference(symmetric_difference(B,C),D) != union(difference(B,union(C,D)),difference(C,union(B,D))),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) != union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[symmetric_difference_defn]) ).
fof(normalize_0_3,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C,D] : difference(union(B,C),D) = union(difference(B,D),difference(C,D)),
inference(canonicalize,[],[difference_distributes_over_union]) ).
fof(normalize_0_5,plain,
! [B,C,D] : difference(union(B,C),D) = union(difference(B,D),difference(C,D)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B,C,D] : difference(difference(B,C),D) = difference(B,union(C,D)),
inference(canonicalize,[],[difference_difference_union]) ).
fof(normalize_0_7,plain,
! [B,C,D] : difference(difference(B,C),D) = difference(B,union(C,D)),
inference(specialize,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) != union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
symmetric_difference(B,C) = union(difference(B,C),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( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( symmetric_difference(B,C) != union(difference(B,C),difference(C,B))
| union(difference(B,C),difference(C,B)) = symmetric_difference(B,C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(symmetric_difference(B,C))),bind(Y,$fot(union(difference(B,C),difference(C,B))))]]) ).
cnf(refute_0_6,plain,
union(difference(B,C),difference(C,B)) = symmetric_difference(B,C),
inference(resolve,[$cnf( $equal(symmetric_difference(B,C),union(difference(B,C),difference(C,B))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) = symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(subst,[],[refute_0_6:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_8,plain,
difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2) = difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2),
introduced(tautology,[refl,[$fot(difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2))]]) ).
cnf(refute_0_9,plain,
( difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2) != difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2)
| union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) != symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2) = difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) ),
introduced(tautology,[equality,[$cnf( $equal(difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2),difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2)) ),[1,0],$fot(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_10,plain,
( union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) != symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2) = difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) ),
inference(resolve,[$cnf( $equal(difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2),difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2) = difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2),
inference(resolve,[$cnf( $equal(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
difference(union(B,C),D) = union(difference(B,D),difference(C,D)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
difference(union(X_10,difference(B,C)),X_12) = union(difference(X_10,X_12),difference(difference(B,C),X_12)),
inference(subst,[],[refute_0_12:[bind(B,$fot(X_10)),bind(C,$fot(difference(B,C))),bind(D,$fot(X_12))]]) ).
cnf(refute_0_14,plain,
difference(difference(B,C),D) = difference(B,union(C,D)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_15,plain,
difference(difference(B,C),X_12) = difference(B,union(C,X_12)),
inference(subst,[],[refute_0_14:[bind(D,$fot(X_12))]]) ).
cnf(refute_0_16,plain,
( difference(difference(B,C),X_12) != difference(B,union(C,X_12))
| difference(union(X_10,difference(B,C)),X_12) != union(difference(X_10,X_12),difference(difference(B,C),X_12))
| difference(union(X_10,difference(B,C)),X_12) = union(difference(X_10,X_12),difference(B,union(C,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(union(X_10,difference(B,C)),X_12),union(difference(X_10,X_12),difference(difference(B,C),X_12))) ),[1,1],$fot(difference(B,union(C,X_12)))]]) ).
cnf(refute_0_17,plain,
( difference(union(X_10,difference(B,C)),X_12) != union(difference(X_10,X_12),difference(difference(B,C),X_12))
| difference(union(X_10,difference(B,C)),X_12) = union(difference(X_10,X_12),difference(B,union(C,X_12))) ),
inference(resolve,[$cnf( $equal(difference(difference(B,C),X_12),difference(B,union(C,X_12))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
difference(union(X_10,difference(B,C)),X_12) = union(difference(X_10,X_12),difference(B,union(C,X_12))),
inference(resolve,[$cnf( $equal(difference(union(X_10,difference(B,C)),X_12),union(difference(X_10,X_12),difference(difference(B,C),X_12))) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
difference(union(difference(B,C),difference(X_117,X_118)),X_120) = union(difference(difference(B,C),X_120),difference(X_117,union(X_118,X_120))),
inference(subst,[],[refute_0_18:[bind(B,$fot(X_117)),bind(C,$fot(X_118)),bind(X_10,$fot(difference(B,C))),bind(X_12,$fot(X_120))]]) ).
cnf(refute_0_20,plain,
difference(difference(B,C),X_120) = difference(B,union(C,X_120)),
inference(subst,[],[refute_0_14:[bind(D,$fot(X_120))]]) ).
cnf(refute_0_21,plain,
( difference(difference(B,C),X_120) != difference(B,union(C,X_120))
| difference(union(difference(B,C),difference(X_117,X_118)),X_120) != union(difference(difference(B,C),X_120),difference(X_117,union(X_118,X_120)))
| difference(union(difference(B,C),difference(X_117,X_118)),X_120) = union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120))) ),
introduced(tautology,[equality,[$cnf( $equal(difference(union(difference(B,C),difference(X_117,X_118)),X_120),union(difference(difference(B,C),X_120),difference(X_117,union(X_118,X_120)))) ),[1,0],$fot(difference(B,union(C,X_120)))]]) ).
cnf(refute_0_22,plain,
( difference(union(difference(B,C),difference(X_117,X_118)),X_120) != union(difference(difference(B,C),X_120),difference(X_117,union(X_118,X_120)))
| difference(union(difference(B,C),difference(X_117,X_118)),X_120) = union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120))) ),
inference(resolve,[$cnf( $equal(difference(difference(B,C),X_120),difference(B,union(C,X_120))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
difference(union(difference(B,C),difference(X_117,X_118)),X_120) = union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120))),
inference(resolve,[$cnf( $equal(difference(union(difference(B,C),difference(X_117,X_118)),X_120),union(difference(difference(B,C),X_120),difference(X_117,union(X_118,X_120)))) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( difference(union(difference(B,C),difference(X_117,X_118)),X_120) != union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120)))
| union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120))) = difference(union(difference(B,C),difference(X_117,X_118)),X_120) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(difference(union(difference(B,C),difference(X_117,X_118)),X_120))),bind(Y,$fot(union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120)))))]]) ).
cnf(refute_0_25,plain,
union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120))) = difference(union(difference(B,C),difference(X_117,X_118)),X_120),
inference(resolve,[$cnf( $equal(difference(union(difference(B,C),difference(X_117,X_118)),X_120),union(difference(B,union(C,X_120)),difference(X_117,union(X_118,X_120)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) = difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2),
inference(subst,[],[refute_0_25:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C)),bind(X_117,$fot(skolemFOFtoCNF_C)),bind(X_118,$fot(skolemFOFtoCNF_B)),bind(X_120,$fot(skolemFOFtoCNF_D_2))]]) ).
cnf(refute_0_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_27]) ).
cnf(refute_0_29,plain,
( difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2) != difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)
| union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) != difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2)
| union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) = difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))))),bind(Y,$fot(difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2))),bind(Z,$fot(difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)))]]) ).
cnf(refute_0_30,plain,
( difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2) != difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)
| union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) = difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) ),
inference(resolve,[$cnf( $equal(union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))),difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2)) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) = difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2),
inference(resolve,[$cnf( $equal(difference(union(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),skolemFOFtoCNF_D_2),difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)) )],[refute_0_11,refute_0_30]) ).
cnf(refute_0_32,plain,
( difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) != difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)
| union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) != difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)
| difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) = union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2),union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2)))) ),[1],$fot(difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2))]]) ).
cnf(refute_0_33,plain,
( difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) != difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)
| difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) = union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))) ),
inference(resolve,[$cnf( $equal(union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2))),difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) != difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2),
inference(resolve,[$cnf( $equal(difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2),union(difference(skolemFOFtoCNF_B,union(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),difference(skolemFOFtoCNF_C,union(skolemFOFtoCNF_B,skolemFOFtoCNF_D_2)))) )],[refute_0_33,refute_0_0]) ).
cnf(refute_0_35,plain,
difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2) = difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2),
introduced(tautology,[refl,[$fot(difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2))]]) ).
cnf(refute_0_36,plain,
$false,
inference(resolve,[$cnf( $equal(difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2),difference(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_D_2)) )],[refute_0_35,refute_0_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET621+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 18:51:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.93/1.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.13
% 0.93/1.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.93/1.14
%------------------------------------------------------------------------------