TSTP Solution File: SET580+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET580+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 03:35:35 EDT 2022
% Result : Theorem 1.37s 1.58s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 153 ( 49 unt; 0 def)
% Number of atoms : 343 ( 55 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 335 ( 145 ~; 129 |; 34 &)
% ( 21 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 236 ( 7 sgn 119 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(union_defn,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ) ).
fof(difference_defn,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ) ).
fof(symmetric_difference_defn,axiom,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) ).
fof(commutativity_of_symmetric_difference,axiom,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B) ).
fof(prove_th23,conjecture,
! [B,C,D] :
( member(B,symmetric_difference(C,D))
<=> ~ ( member(B,C)
<=> member(B,D) ) ) ).
fof(subgoal_0,plain,
! [B,C,D] :
( ( member(B,symmetric_difference(C,D))
& member(B,C) )
=> ~ member(B,D) ),
inference(strip,[],[prove_th23]) ).
fof(subgoal_1,plain,
! [B,C,D] :
( ( member(B,symmetric_difference(C,D))
& ~ member(B,D) )
=> member(B,C) ),
inference(strip,[],[prove_th23]) ).
fof(subgoal_2,plain,
! [B,C,D] :
( ~ ( member(B,C)
<=> member(B,D) )
=> member(B,symmetric_difference(C,D)) ),
inference(strip,[],[prove_th23]) ).
fof(negate_0_0,plain,
~ ! [B,C,D] :
( ( member(B,symmetric_difference(C,D))
& member(B,C) )
=> ~ member(B,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,D] :
( member(B,C)
& member(B,D)
& member(B,symmetric_difference(C,D)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( member(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1)
& member(skolemFOFtoCNF_B,symmetric_difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
member(skolemFOFtoCNF_B,symmetric_difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(canonicalize,[],[union_defn]) ).
fof(normalize_0_8,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [B,C,D] :
( ( ~ member(D,B)
| member(D,union(B,C)) )
& ( ~ member(D,C)
| member(D,union(B,C)) )
& ( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[symmetric_difference_defn]) ).
fof(normalize_0_12,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_14,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),
inference(conjunct,[],[normalize_0_5]) ).
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_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| ~ member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(skolemFOFtoCNF_D_1)),bind(D,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_2,plain,
( ~ member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C))
| ~ member(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_D_1)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_3,plain,
member(skolemFOFtoCNF_B,symmetric_difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ member(X_158,union(difference(B,C),difference(C,B)))
| member(X_158,difference(B,C))
| member(X_158,difference(C,B)) ),
inference(subst,[],[refute_0_4:[bind(B,$fot(difference(B,C))),bind(C,$fot(difference(C,B))),bind(D,$fot(X_158))]]) ).
cnf(refute_0_6,plain,
symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( symmetric_difference(B,C) != union(difference(B,C),difference(C,B))
| union(difference(B,C),difference(C,B)) = symmetric_difference(B,C) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(symmetric_difference(B,C))),bind(Y,$fot(union(difference(B,C),difference(C,B))))]]) ).
cnf(refute_0_11,plain,
union(difference(B,C),difference(C,B)) = symmetric_difference(B,C),
inference(resolve,[$cnf( $equal(symmetric_difference(B,C),union(difference(B,C),difference(C,B))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( union(difference(B,C),difference(C,B)) != symmetric_difference(B,C)
| ~ member(X_158,symmetric_difference(B,C))
| member(X_158,union(difference(B,C),difference(C,B))) ),
introduced(tautology,[equality,[$cnf( ~ member(X_158,union(difference(B,C),difference(C,B))) ),[1],$fot(symmetric_difference(B,C))]]) ).
cnf(refute_0_13,plain,
( ~ member(X_158,symmetric_difference(B,C))
| member(X_158,union(difference(B,C),difference(C,B))) ),
inference(resolve,[$cnf( $equal(union(difference(B,C),difference(C,B)),symmetric_difference(B,C)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ member(X_158,symmetric_difference(B,C))
| member(X_158,difference(B,C))
| member(X_158,difference(C,B)) ),
inference(resolve,[$cnf( member(X_158,union(difference(B,C),difference(C,B))) )],[refute_0_13,refute_0_5]) ).
cnf(refute_0_15,plain,
( ~ member(skolemFOFtoCNF_B,symmetric_difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_14:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(skolemFOFtoCNF_D_1)),bind(X_158,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_16,plain,
( member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B,symmetric_difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_3,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ member(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_D_1,skolemFOFtoCNF_C)) )],[refute_0_16,refute_0_2]) ).
cnf(refute_0_18,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_19,plain,
member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
~ member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_19,refute_0_1]) ).
cnf(refute_0_21,plain,
member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( member(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1) )],[refute_0_21,refute_0_20]) ).
fof(negate_1_0,plain,
~ ! [B,C,D] :
( ( member(B,symmetric_difference(C,D))
& ~ member(B,D) )
=> member(B,C) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(canonicalize,[],[difference_defn]) ).
fof(normalize_1_1,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_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_1_1]) ).
fof(normalize_1_3,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
? [B,C,D] :
( ~ member(B,C)
& ~ member(B,D)
& member(B,symmetric_difference(C,D)) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_5,plain,
( ~ member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& ~ member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_2)
& member(skolemFOFtoCNF_B_1,symmetric_difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)) ),
inference(skolemize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
member(skolemFOFtoCNF_B_1,symmetric_difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(canonicalize,[],[union_defn]) ).
fof(normalize_1_8,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [B,C,D] :
( ( ~ member(D,B)
| member(D,union(B,C)) )
& ( ~ member(D,C)
| member(D,union(B,C)) )
& ( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ) ),
inference(clausify,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[symmetric_difference_defn]) ).
fof(normalize_1_12,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(specialize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
~ member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_2),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_14,plain,
~ member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2))
| member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_1_0:[bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D_2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_2,plain,
( ~ member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1))
| member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_2) ),
inference(subst,[],[refute_1_0:[bind(B,$fot(skolemFOFtoCNF_D_2)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_3,plain,
member(skolemFOFtoCNF_B_1,symmetric_difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_4,plain,
( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_5,plain,
( ~ member(X_1186,union(difference(B,C),difference(C,B)))
| member(X_1186,difference(B,C))
| member(X_1186,difference(C,B)) ),
inference(subst,[],[refute_1_4:[bind(B,$fot(difference(B,C))),bind(C,$fot(difference(C,B))),bind(D,$fot(X_1186))]]) ).
cnf(refute_1_6,plain,
symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_7,refute_1_8]) ).
cnf(refute_1_10,plain,
( symmetric_difference(B,C) != union(difference(B,C),difference(C,B))
| union(difference(B,C),difference(C,B)) = symmetric_difference(B,C) ),
inference(subst,[],[refute_1_9:[bind(X,$fot(symmetric_difference(B,C))),bind(Y,$fot(union(difference(B,C),difference(C,B))))]]) ).
cnf(refute_1_11,plain,
union(difference(B,C),difference(C,B)) = symmetric_difference(B,C),
inference(resolve,[$cnf( $equal(symmetric_difference(B,C),union(difference(B,C),difference(C,B))) )],[refute_1_6,refute_1_10]) ).
cnf(refute_1_12,plain,
( union(difference(B,C),difference(C,B)) != symmetric_difference(B,C)
| ~ member(X_1186,symmetric_difference(B,C))
| member(X_1186,union(difference(B,C),difference(C,B))) ),
introduced(tautology,[equality,[$cnf( ~ member(X_1186,union(difference(B,C),difference(C,B))) ),[1],$fot(symmetric_difference(B,C))]]) ).
cnf(refute_1_13,plain,
( ~ member(X_1186,symmetric_difference(B,C))
| member(X_1186,union(difference(B,C),difference(C,B))) ),
inference(resolve,[$cnf( $equal(union(difference(B,C),difference(C,B)),symmetric_difference(B,C)) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
( ~ member(X_1186,symmetric_difference(B,C))
| member(X_1186,difference(B,C))
| member(X_1186,difference(C,B)) ),
inference(resolve,[$cnf( member(X_1186,union(difference(B,C),difference(C,B))) )],[refute_1_13,refute_1_5]) ).
cnf(refute_1_15,plain,
( ~ member(skolemFOFtoCNF_B_1,symmetric_difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2))
| member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2))
| member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_1_14:[bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D_2)),bind(X_1186,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_16,plain,
( member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2))
| member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_1,symmetric_difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)) )],[refute_1_3,refute_1_15]) ).
cnf(refute_1_17,plain,
( member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2))
| member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_2) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_D_2,skolemFOFtoCNF_C_1)) )],[refute_1_16,refute_1_2]) ).
cnf(refute_1_18,plain,
~ member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_2),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_19,plain,
member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_2) )],[refute_1_17,refute_1_18]) ).
cnf(refute_1_20,plain,
member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_1,difference(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_2)) )],[refute_1_19,refute_1_1]) ).
cnf(refute_1_21,plain,
~ member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_22,plain,
$false,
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_1_20,refute_1_21]) ).
fof(negate_2_0,plain,
~ ! [B,C,D] :
( ~ ( member(B,C)
<=> member(B,D) )
=> member(B,symmetric_difference(C,D)) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
? [B,C,D] :
( ~ member(B,symmetric_difference(C,D))
& ( ~ member(B,C)
<=> member(B,D) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( ~ member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,skolemFOFtoCNF_D_3))
& ( ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
<=> member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) ) ),
inference(skolemize,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
<=> member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) ),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
( ( ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) )
& ( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) ) ),
inference(clausify,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
( ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) ),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_5,plain,
~ member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,skolemFOFtoCNF_D_3)),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_6,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(canonicalize,[],[union_defn]) ).
fof(normalize_2_7,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(specialize,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
! [B,C,D] :
( ( ~ member(D,B)
| member(D,union(B,C)) )
& ( ~ member(D,C)
| member(D,union(B,C)) )
& ( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ) ),
inference(clausify,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
! [B,C,D] :
( ~ member(D,C)
| member(D,union(B,C)) ),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_10,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(canonicalize,[],[difference_defn]) ).
fof(normalize_2_11,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(specialize,[],[normalize_2_10]) ).
fof(normalize_2_12,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_2_11]) ).
fof(normalize_2_13,plain,
! [B,C,D] :
( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_14,plain,
( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) ),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_15,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[symmetric_difference_defn]) ).
fof(normalize_2_16,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(specialize,[],[normalize_2_15]) ).
fof(normalize_2_17,plain,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B),
inference(canonicalize,[],[commutativity_of_symmetric_difference]) ).
fof(normalize_2_18,plain,
! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B),
inference(specialize,[],[normalize_2_17]) ).
cnf(refute_2_0,plain,
( ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) ),
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_1,plain,
~ member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,skolemFOFtoCNF_D_3)),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_2,plain,
( ~ member(D,C)
| member(D,union(B,C)) ),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_3,plain,
( ~ member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_C_2,X_1813))
| member(skolemFOFtoCNF_B_2,union(B,difference(skolemFOFtoCNF_C_2,X_1813))) ),
inference(subst,[],[refute_2_2:[bind(C,$fot(difference(skolemFOFtoCNF_C_2,X_1813))),bind(D,$fot(skolemFOFtoCNF_B_2))]]) ).
cnf(refute_2_4,plain,
( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_5,plain,
( ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,C)
| member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_C_2,C)) ),
inference(subst,[],[refute_2_4:[bind(B,$fot(skolemFOFtoCNF_C_2)),bind(D,$fot(skolemFOFtoCNF_B_2))]]) ).
cnf(refute_2_6,plain,
( ~ member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_D_3,X_1703))
| member(skolemFOFtoCNF_B_2,union(B,difference(skolemFOFtoCNF_D_3,X_1703))) ),
inference(subst,[],[refute_2_2:[bind(C,$fot(difference(skolemFOFtoCNF_D_3,X_1703))),bind(D,$fot(skolemFOFtoCNF_B_2))]]) ).
cnf(refute_2_7,plain,
( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) ),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_8,plain,
( ~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3)
| member(skolemFOFtoCNF_B_2,X_1701)
| member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_D_3,X_1701)) ),
inference(subst,[],[refute_2_4:[bind(B,$fot(skolemFOFtoCNF_D_3)),bind(C,$fot(X_1701)),bind(D,$fot(skolemFOFtoCNF_B_2))]]) ).
cnf(refute_2_9,plain,
( member(skolemFOFtoCNF_B_2,X_1701)
| member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_D_3,X_1701))
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) )],[refute_2_7,refute_2_8]) ).
cnf(refute_2_10,plain,
( member(skolemFOFtoCNF_B_2,X_1703)
| member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_D_3,X_1703))
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2) ),
inference(subst,[],[refute_2_9:[bind(X_1701,$fot(X_1703))]]) ).
cnf(refute_2_11,plain,
( member(skolemFOFtoCNF_B_2,X_1703)
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,union(B,difference(skolemFOFtoCNF_D_3,X_1703))) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_D_3,X_1703)) )],[refute_2_10,refute_2_6]) ).
cnf(refute_2_12,plain,
( member(skolemFOFtoCNF_B_2,X_1801)
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801))) ),
inference(subst,[],[refute_2_11:[bind(B,$fot(difference(X_1801,skolemFOFtoCNF_D_3))),bind(X_1703,$fot(X_1801))]]) ).
cnf(refute_2_13,plain,
symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_14,plain,
symmetric_difference(X_1801,skolemFOFtoCNF_D_3) = union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801)),
inference(subst,[],[refute_2_13:[bind(B,$fot(X_1801)),bind(C,$fot(skolemFOFtoCNF_D_3))]]) ).
cnf(refute_2_15,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_16,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_17,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_15,refute_2_16]) ).
cnf(refute_2_18,plain,
( symmetric_difference(X_1801,skolemFOFtoCNF_D_3) != union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801))
| union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801)) = symmetric_difference(X_1801,skolemFOFtoCNF_D_3) ),
inference(subst,[],[refute_2_17:[bind(X,$fot(symmetric_difference(X_1801,skolemFOFtoCNF_D_3))),bind(Y,$fot(union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801))))]]) ).
cnf(refute_2_19,plain,
union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801)) = symmetric_difference(X_1801,skolemFOFtoCNF_D_3),
inference(resolve,[$cnf( $equal(symmetric_difference(X_1801,skolemFOFtoCNF_D_3),union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801))) )],[refute_2_14,refute_2_18]) ).
cnf(refute_2_20,plain,
( union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801)) != symmetric_difference(X_1801,skolemFOFtoCNF_D_3)
| ~ member(skolemFOFtoCNF_B_2,union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801)))
| member(skolemFOFtoCNF_B_2,symmetric_difference(X_1801,skolemFOFtoCNF_D_3)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_B_2,union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801))) ),[1],$fot(symmetric_difference(X_1801,skolemFOFtoCNF_D_3))]]) ).
cnf(refute_2_21,plain,
( ~ member(skolemFOFtoCNF_B_2,union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801)))
| member(skolemFOFtoCNF_B_2,symmetric_difference(X_1801,skolemFOFtoCNF_D_3)) ),
inference(resolve,[$cnf( $equal(union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801)),symmetric_difference(X_1801,skolemFOFtoCNF_D_3)) )],[refute_2_19,refute_2_20]) ).
cnf(refute_2_22,plain,
( member(skolemFOFtoCNF_B_2,X_1801)
| member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,symmetric_difference(X_1801,skolemFOFtoCNF_D_3)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,union(difference(X_1801,skolemFOFtoCNF_D_3),difference(skolemFOFtoCNF_D_3,X_1801))) )],[refute_2_12,refute_2_21]) ).
cnf(refute_2_23,plain,
( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2)
| member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,skolemFOFtoCNF_D_3)) ),
inference(subst,[],[refute_2_22:[bind(X_1801,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_2_24,plain,
member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,skolemFOFtoCNF_D_3)) )],[refute_2_23,refute_2_1]) ).
cnf(refute_2_25,plain,
( member(skolemFOFtoCNF_B_2,C)
| member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_C_2,C)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2) )],[refute_2_24,refute_2_5]) ).
cnf(refute_2_26,plain,
( member(skolemFOFtoCNF_B_2,X_1813)
| member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_C_2,X_1813)) ),
inference(subst,[],[refute_2_25:[bind(C,$fot(X_1813))]]) ).
cnf(refute_2_27,plain,
( member(skolemFOFtoCNF_B_2,X_1813)
| member(skolemFOFtoCNF_B_2,union(B,difference(skolemFOFtoCNF_C_2,X_1813))) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,difference(skolemFOFtoCNF_C_2,X_1813)) )],[refute_2_26,refute_2_3]) ).
cnf(refute_2_28,plain,
( member(skolemFOFtoCNF_B_2,X_1841)
| member(skolemFOFtoCNF_B_2,union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841))) ),
inference(subst,[],[refute_2_27:[bind(B,$fot(difference(X_1841,skolemFOFtoCNF_C_2))),bind(X_1813,$fot(X_1841))]]) ).
cnf(refute_2_29,plain,
symmetric_difference(X_1841,skolemFOFtoCNF_C_2) = union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841)),
inference(subst,[],[refute_2_13:[bind(B,$fot(X_1841)),bind(C,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_2_30,plain,
( symmetric_difference(X_1841,skolemFOFtoCNF_C_2) != union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841))
| union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841)) = symmetric_difference(X_1841,skolemFOFtoCNF_C_2) ),
inference(subst,[],[refute_2_17:[bind(X,$fot(symmetric_difference(X_1841,skolemFOFtoCNF_C_2))),bind(Y,$fot(union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841))))]]) ).
cnf(refute_2_31,plain,
union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841)) = symmetric_difference(X_1841,skolemFOFtoCNF_C_2),
inference(resolve,[$cnf( $equal(symmetric_difference(X_1841,skolemFOFtoCNF_C_2),union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841))) )],[refute_2_29,refute_2_30]) ).
cnf(refute_2_32,plain,
( union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841)) != symmetric_difference(X_1841,skolemFOFtoCNF_C_2)
| ~ member(skolemFOFtoCNF_B_2,union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841)))
| member(skolemFOFtoCNF_B_2,symmetric_difference(X_1841,skolemFOFtoCNF_C_2)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_B_2,union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841))) ),[1],$fot(symmetric_difference(X_1841,skolemFOFtoCNF_C_2))]]) ).
cnf(refute_2_33,plain,
( ~ member(skolemFOFtoCNF_B_2,union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841)))
| member(skolemFOFtoCNF_B_2,symmetric_difference(X_1841,skolemFOFtoCNF_C_2)) ),
inference(resolve,[$cnf( $equal(union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841)),symmetric_difference(X_1841,skolemFOFtoCNF_C_2)) )],[refute_2_31,refute_2_32]) ).
cnf(refute_2_34,plain,
( member(skolemFOFtoCNF_B_2,X_1841)
| member(skolemFOFtoCNF_B_2,symmetric_difference(X_1841,skolemFOFtoCNF_C_2)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,union(difference(X_1841,skolemFOFtoCNF_C_2),difference(skolemFOFtoCNF_C_2,X_1841))) )],[refute_2_28,refute_2_33]) ).
cnf(refute_2_35,plain,
( member(skolemFOFtoCNF_B_2,X_1842)
| member(skolemFOFtoCNF_B_2,symmetric_difference(X_1842,skolemFOFtoCNF_C_2)) ),
inference(subst,[],[refute_2_34:[bind(X_1841,$fot(X_1842))]]) ).
cnf(refute_2_36,plain,
symmetric_difference(B,C) = symmetric_difference(C,B),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_37,plain,
symmetric_difference(skolemFOFtoCNF_C_2,X_1842) = symmetric_difference(X_1842,skolemFOFtoCNF_C_2),
inference(subst,[],[refute_2_36:[bind(B,$fot(skolemFOFtoCNF_C_2)),bind(C,$fot(X_1842))]]) ).
cnf(refute_2_38,plain,
( symmetric_difference(skolemFOFtoCNF_C_2,X_1842) != symmetric_difference(X_1842,skolemFOFtoCNF_C_2)
| symmetric_difference(X_1842,skolemFOFtoCNF_C_2) = symmetric_difference(skolemFOFtoCNF_C_2,X_1842) ),
inference(subst,[],[refute_2_17:[bind(X,$fot(symmetric_difference(skolemFOFtoCNF_C_2,X_1842))),bind(Y,$fot(symmetric_difference(X_1842,skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_2_39,plain,
symmetric_difference(X_1842,skolemFOFtoCNF_C_2) = symmetric_difference(skolemFOFtoCNF_C_2,X_1842),
inference(resolve,[$cnf( $equal(symmetric_difference(skolemFOFtoCNF_C_2,X_1842),symmetric_difference(X_1842,skolemFOFtoCNF_C_2)) )],[refute_2_37,refute_2_38]) ).
cnf(refute_2_40,plain,
( symmetric_difference(X_1842,skolemFOFtoCNF_C_2) != symmetric_difference(skolemFOFtoCNF_C_2,X_1842)
| ~ member(skolemFOFtoCNF_B_2,symmetric_difference(X_1842,skolemFOFtoCNF_C_2))
| member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,X_1842)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_B_2,symmetric_difference(X_1842,skolemFOFtoCNF_C_2)) ),[1],$fot(symmetric_difference(skolemFOFtoCNF_C_2,X_1842))]]) ).
cnf(refute_2_41,plain,
( ~ member(skolemFOFtoCNF_B_2,symmetric_difference(X_1842,skolemFOFtoCNF_C_2))
| member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,X_1842)) ),
inference(resolve,[$cnf( $equal(symmetric_difference(X_1842,skolemFOFtoCNF_C_2),symmetric_difference(skolemFOFtoCNF_C_2,X_1842)) )],[refute_2_39,refute_2_40]) ).
cnf(refute_2_42,plain,
( member(skolemFOFtoCNF_B_2,X_1842)
| member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,X_1842)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,symmetric_difference(X_1842,skolemFOFtoCNF_C_2)) )],[refute_2_35,refute_2_41]) ).
cnf(refute_2_43,plain,
( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3)
| member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,skolemFOFtoCNF_D_3)) ),
inference(subst,[],[refute_2_42:[bind(X_1842,$fot(skolemFOFtoCNF_D_3))]]) ).
cnf(refute_2_44,plain,
member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,symmetric_difference(skolemFOFtoCNF_C_2,skolemFOFtoCNF_D_3)) )],[refute_2_43,refute_2_1]) ).
cnf(refute_2_45,plain,
~ member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2),
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_D_3) )],[refute_2_44,refute_2_0]) ).
cnf(refute_2_46,plain,
$false,
inference(resolve,[$cnf( member(skolemFOFtoCNF_B_2,skolemFOFtoCNF_C_2) )],[refute_2_24,refute_2_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % 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 02:07:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.37/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.37/1.58
% 1.37/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.37/1.59
%------------------------------------------------------------------------------