TSTP Solution File: SET102+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET102+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 03:32:40 EDT 2022
% Result : Theorem 146.92s 147.15s
% Output : CNFRefutation 146.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 96 ( 42 unt; 0 def)
% Number of atoms : 201 ( 98 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 201 ( 96 ~; 84 |; 14 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 195 ( 8 sgn 54 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unordered_pair_defn,axiom,
! [U,X,Y] :
( member(U,unordered_pair(X,Y))
<=> ( member(U,universal_class)
& ( U = X
| U = Y ) ) ) ).
fof(unordered_pair,axiom,
! [X,Y] : member(unordered_pair(X,Y),universal_class) ).
fof(ordered_pair_defn,axiom,
! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) ).
fof(first_second,axiom,
! [X,Y] :
( ( member(X,universal_class)
& member(Y,universal_class) )
=> ( first(ordered_pair(X,Y)) = X
& second(ordered_pair(X,Y)) = Y ) ) ).
fof(identity_relation,axiom,
! [Z] :
( member(Z,identity_relation)
<=> ? [X] :
( member(X,universal_class)
& Z = ordered_pair(X,X) ) ) ).
fof(unordered_pair_member_of_ordered_pair,conjecture,
! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)) ).
fof(subgoal_0,plain,
! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)),
inference(strip,[],[unordered_pair_member_of_ordered_pair]) ).
fof(negate_0_0,plain,
~ ! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X,Y] : ~ member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
~ member(unordered_pair(skolemFOFtoCNF_X_2,singleton(skolemFOFtoCNF_Y_1)),ordered_pair(skolemFOFtoCNF_X_2,skolemFOFtoCNF_Y_1)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
<=> ( ~ member(U,universal_class)
| ( U != X
& U != Y ) ) ),
inference(canonicalize,[],[unordered_pair_defn]) ).
fof(normalize_0_3,plain,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
<=> ( ~ member(U,universal_class)
| ( U != X
& U != Y ) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [U,X,Y] :
( ( ~ member(U,unordered_pair(X,Y))
| member(U,universal_class) )
& ( U != X
| ~ member(U,universal_class)
| member(U,unordered_pair(X,Y)) )
& ( U != Y
| ~ member(U,universal_class)
| member(U,unordered_pair(X,Y)) )
& ( ~ member(U,unordered_pair(X,Y))
| U = X
| U = Y ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [U,X,Y] :
( U != Y
| ~ member(U,universal_class)
| member(U,unordered_pair(X,Y)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [Z] :
( ~ member(Z,identity_relation)
<=> ! [X] :
( Z != ordered_pair(X,X)
| ~ member(X,universal_class) ) ),
inference(canonicalize,[],[identity_relation]) ).
fof(normalize_0_7,plain,
! [Z] :
( ~ member(Z,identity_relation)
<=> ! [X] :
( Z != ordered_pair(X,X)
| ~ member(X,universal_class) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Z] :
( ( ~ member(Z,identity_relation)
| Z = ordered_pair(skolemFOFtoCNF_X_1(Z),skolemFOFtoCNF_X_1(Z)) )
& ( ~ member(Z,identity_relation)
| member(skolemFOFtoCNF_X_1(Z),universal_class) )
& ( Z != ordered_pair(X,X)
| ~ member(X,universal_class)
| member(Z,identity_relation) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [Z] :
( ~ member(Z,identity_relation)
| member(skolemFOFtoCNF_X_1(Z),universal_class) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
inference(canonicalize,[],[unordered_pair]) ).
fof(normalize_0_11,plain,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Z] :
( Z != ordered_pair(X,X)
| ~ member(X,universal_class)
| member(Z,identity_relation) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| ( first(ordered_pair(X,Y)) = X
& second(ordered_pair(X,Y)) = Y ) ),
inference(canonicalize,[],[first_second]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| ( first(ordered_pair(X,Y)) = X
& second(ordered_pair(X,Y)) = Y ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| first(ordered_pair(X,Y)) = X )
& ( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| second(ordered_pair(X,Y)) = Y ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| first(ordered_pair(X,Y)) = X ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [Z] :
( ~ member(Z,identity_relation)
| Z = ordered_pair(skolemFOFtoCNF_X_1(Z),skolemFOFtoCNF_X_1(Z)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_18,plain,
! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
inference(canonicalize,[],[ordered_pair_defn]) ).
fof(normalize_0_19,plain,
! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
inference(specialize,[],[normalize_0_18]) ).
cnf(refute_0_0,plain,
~ member(unordered_pair(skolemFOFtoCNF_X_2,singleton(skolemFOFtoCNF_Y_1)),ordered_pair(skolemFOFtoCNF_X_2,skolemFOFtoCNF_Y_1)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( U != Y
| ~ member(U,universal_class)
| member(U,unordered_pair(X,Y)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( Y != Y
| ~ member(Y,universal_class)
| member(Y,unordered_pair(X,Y)) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(Y))]]) ).
cnf(refute_0_3,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_4,plain,
( ~ member(Y,universal_class)
| member(Y,unordered_pair(X,Y)) ),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( ~ member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),universal_class)
| member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) ),
inference(subst,[],[refute_0_4:[bind(Y,$fot(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))]]) ).
cnf(refute_0_6,plain,
( ~ member(Z,identity_relation)
| member(skolemFOFtoCNF_X_1(Z),universal_class) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ member(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)),identity_relation)
| member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),universal_class) ),
inference(subst,[],[refute_0_6:[bind(Z,$fot(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))))]]) ).
cnf(refute_0_8,plain,
member(unordered_pair(X,Y),universal_class),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_9,plain,
( Z != ordered_pair(X,X)
| ~ member(X,universal_class)
| member(Z,identity_relation) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ordered_pair(X,X) != ordered_pair(X,X)
| ~ member(X,universal_class)
| member(ordered_pair(X,X),identity_relation) ),
inference(subst,[],[refute_0_9:[bind(Z,$fot(ordered_pair(X,X)))]]) ).
cnf(refute_0_11,plain,
ordered_pair(X,X) = ordered_pair(X,X),
introduced(tautology,[refl,[$fot(ordered_pair(X,X))]]) ).
cnf(refute_0_12,plain,
( ~ member(X,universal_class)
| member(ordered_pair(X,X),identity_relation) ),
inference(resolve,[$cnf( $equal(ordered_pair(X,X),ordered_pair(X,X)) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
( ~ member(unordered_pair(X,Y),universal_class)
| member(ordered_pair(unordered_pair(X,Y),unordered_pair(X,Y)),identity_relation) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(unordered_pair(X,Y)))]]) ).
cnf(refute_0_14,plain,
member(ordered_pair(unordered_pair(X,Y),unordered_pair(X,Y)),identity_relation),
inference(resolve,[$cnf( member(unordered_pair(X,Y),universal_class) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
member(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)),identity_relation),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_177)),bind(Y,$fot(X_178))]]) ).
cnf(refute_0_16,plain,
member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),universal_class),
inference(resolve,[$cnf( member(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)),identity_relation) )],[refute_0_15,refute_0_7]) ).
cnf(refute_0_17,plain,
member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),universal_class),
inference(subst,[],[refute_0_16:[bind(X_177,$fot(X_3720)),bind(X_178,$fot(X_3721))]]) ).
cnf(refute_0_18,plain,
member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),universal_class) )],[refute_0_17,refute_0_5]) ).
cnf(refute_0_19,plain,
( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| first(ordered_pair(X,Y)) = X ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_20,plain,
( ~ member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),universal_class)
| first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),bind(Y,$fot(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))]]) ).
cnf(refute_0_21,plain,
first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),universal_class) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ member(unordered_pair(X,Y),universal_class)
| first(ordered_pair(unordered_pair(X,Y),unordered_pair(X,Y))) = unordered_pair(X,Y) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(unordered_pair(X,Y))),bind(Y,$fot(unordered_pair(X,Y)))]]) ).
cnf(refute_0_23,plain,
first(ordered_pair(unordered_pair(X,Y),unordered_pair(X,Y))) = unordered_pair(X,Y),
inference(resolve,[$cnf( member(unordered_pair(X,Y),universal_class) )],[refute_0_8,refute_0_22]) ).
cnf(refute_0_24,plain,
first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) = unordered_pair(X_3720,X_3721),
inference(subst,[],[refute_0_23:[bind(X,$fot(X_3720)),bind(Y,$fot(X_3721))]]) ).
cnf(refute_0_25,plain,
( ~ member(Z,identity_relation)
| Z = ordered_pair(skolemFOFtoCNF_X_1(Z),skolemFOFtoCNF_X_1(Z)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_26,plain,
( ~ member(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)),identity_relation)
| ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)) = ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)))) ),
inference(subst,[],[refute_0_25:[bind(Z,$fot(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))))]]) ).
cnf(refute_0_27,plain,
ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)) = ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)))),
inference(resolve,[$cnf( member(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)),identity_relation) )],[refute_0_15,refute_0_26]) ).
cnf(refute_0_28,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_29,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_30,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)) != ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))))
| ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)))) = ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)))),bind(Y0,$fot(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))))))]]) ).
cnf(refute_0_32,plain,
ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)))) = ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)),
inference(resolve,[$cnf( $equal(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178)),ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_177,X_178),unordered_pair(X_177,X_178))))) )],[refute_0_27,refute_0_31]) ).
cnf(refute_0_33,plain,
ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) = ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)),
inference(subst,[],[refute_0_32:[bind(X_177,$fot(X_3720)),bind(X_178,$fot(X_3721))]]) ).
cnf(refute_0_34,plain,
first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),
introduced(tautology,[refl,[$fot(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))))]]) ).
cnf(refute_0_35,plain,
( first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) != first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))
| ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) != ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))
| first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) ),
introduced(tautology,[equality,[$cnf( $equal(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))) ),[1,0],$fot(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))]]) ).
cnf(refute_0_36,plain,
( ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) != ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))
| first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) ),
inference(resolve,[$cnf( $equal(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),
inference(resolve,[$cnf( $equal(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))),ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_39,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_30,refute_0_38]) ).
cnf(refute_0_40,plain,
( first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) != first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))
| first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) != unordered_pair(X_3720,X_3721)
| first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = unordered_pair(X_3720,X_3721) ),
inference(subst,[],[refute_0_39:[bind(X0,$fot(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))))),bind(Y0,$fot(first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),bind(Z0,$fot(unordered_pair(X_3720,X_3721)))]]) ).
cnf(refute_0_41,plain,
( first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) != unordered_pair(X_3720,X_3721)
| first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = unordered_pair(X_3720,X_3721) ),
inference(resolve,[$cnf( $equal(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) = unordered_pair(X_3720,X_3721),
inference(resolve,[$cnf( $equal(first(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X_3720,X_3721)) )],[refute_0_24,refute_0_41]) ).
cnf(refute_0_43,plain,
( first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) != skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))
| first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) != unordered_pair(X_3720,X_3721)
| unordered_pair(X_3720,X_3721) = skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) ),
introduced(tautology,[equality,[$cnf( $equal(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) ),[0],$fot(unordered_pair(X_3720,X_3721))]]) ).
cnf(refute_0_44,plain,
( first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) != skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))
| unordered_pair(X_3720,X_3721) = skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) ),
inference(resolve,[$cnf( $equal(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),unordered_pair(X_3720,X_3721)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
unordered_pair(X_3720,X_3721) = skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),
inference(resolve,[$cnf( $equal(first(ordered_pair(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) )],[refute_0_21,refute_0_44]) ).
cnf(refute_0_46,plain,
( unordered_pair(X_3720,X_3721) != skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))
| skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) = unordered_pair(X_3720,X_3721) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(unordered_pair(X_3720,X_3721))),bind(Y0,$fot(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))]]) ).
cnf(refute_0_47,plain,
skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) = unordered_pair(X_3720,X_3721),
inference(resolve,[$cnf( $equal(unordered_pair(X_3720,X_3721),skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) != unordered_pair(X_3720,X_3721)
| ~ member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))
| member(unordered_pair(X_3720,X_3721),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) ),[0],$fot(unordered_pair(X_3720,X_3721))]]) ).
cnf(refute_0_49,plain,
( ~ member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))
| member(unordered_pair(X_3720,X_3721),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X_3720,X_3721)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) = unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))),
introduced(tautology,[refl,[$fot(unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))]]) ).
cnf(refute_0_51,plain,
( skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) != unordered_pair(X_3720,X_3721)
| unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) != unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))
| unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) = unordered_pair(X,unordered_pair(X_3720,X_3721)) ),
introduced(tautology,[equality,[$cnf( $equal(unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) ),[1,1],$fot(unordered_pair(X_3720,X_3721))]]) ).
cnf(refute_0_52,plain,
( skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))) != unordered_pair(X_3720,X_3721)
| unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) = unordered_pair(X,unordered_pair(X_3720,X_3721)) ),
inference(resolve,[$cnf( $equal(unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) = unordered_pair(X,unordered_pair(X_3720,X_3721)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X_3720,X_3721)) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
( unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))) != unordered_pair(X,unordered_pair(X_3720,X_3721))
| ~ member(unordered_pair(X_3720,X_3721),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))
| member(unordered_pair(X_3720,X_3721),unordered_pair(X,unordered_pair(X_3720,X_3721))) ),
introduced(tautology,[equality,[$cnf( member(unordered_pair(X_3720,X_3721),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) ),[1],$fot(unordered_pair(X,unordered_pair(X_3720,X_3721)))]]) ).
cnf(refute_0_55,plain,
( ~ member(unordered_pair(X_3720,X_3721),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))
| member(unordered_pair(X_3720,X_3721),unordered_pair(X,unordered_pair(X_3720,X_3721))) ),
inference(resolve,[$cnf( $equal(unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))),unordered_pair(X,unordered_pair(X_3720,X_3721))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721)))))
| member(unordered_pair(X_3720,X_3721),unordered_pair(X,unordered_pair(X_3720,X_3721))) ),
inference(resolve,[$cnf( member(unordered_pair(X_3720,X_3721),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) )],[refute_0_49,refute_0_55]) ).
cnf(refute_0_57,plain,
member(unordered_pair(X_3720,X_3721),unordered_pair(X,unordered_pair(X_3720,X_3721))),
inference(resolve,[$cnf( member(skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))),unordered_pair(X,skolemFOFtoCNF_X_1(ordered_pair(unordered_pair(X_3720,X_3721),unordered_pair(X_3720,X_3721))))) )],[refute_0_18,refute_0_56]) ).
cnf(refute_0_58,plain,
member(unordered_pair(X_3723,singleton(Y)),unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y)))),
inference(subst,[],[refute_0_57:[bind(X,$fot(singleton(X_3723))),bind(X_3720,$fot(X_3723)),bind(X_3721,$fot(singleton(Y)))]]) ).
cnf(refute_0_59,plain,
ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_60,plain,
ordered_pair(X_3723,Y) = unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y))),
inference(subst,[],[refute_0_59:[bind(X,$fot(X_3723))]]) ).
cnf(refute_0_61,plain,
( ordered_pair(X_3723,Y) != unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y)))
| unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y))) = ordered_pair(X_3723,Y) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ordered_pair(X_3723,Y))),bind(Y0,$fot(unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y)))))]]) ).
cnf(refute_0_62,plain,
unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y))) = ordered_pair(X_3723,Y),
inference(resolve,[$cnf( $equal(ordered_pair(X_3723,Y),unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y)))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y))) != ordered_pair(X_3723,Y)
| ~ member(unordered_pair(X_3723,singleton(Y)),unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y))))
| member(unordered_pair(X_3723,singleton(Y)),ordered_pair(X_3723,Y)) ),
introduced(tautology,[equality,[$cnf( member(unordered_pair(X_3723,singleton(Y)),unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y)))) ),[1],$fot(ordered_pair(X_3723,Y))]]) ).
cnf(refute_0_64,plain,
( ~ member(unordered_pair(X_3723,singleton(Y)),unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y))))
| member(unordered_pair(X_3723,singleton(Y)),ordered_pair(X_3723,Y)) ),
inference(resolve,[$cnf( $equal(unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y))),ordered_pair(X_3723,Y)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
member(unordered_pair(X_3723,singleton(Y)),ordered_pair(X_3723,Y)),
inference(resolve,[$cnf( member(unordered_pair(X_3723,singleton(Y)),unordered_pair(singleton(X_3723),unordered_pair(X_3723,singleton(Y)))) )],[refute_0_58,refute_0_64]) ).
cnf(refute_0_66,plain,
member(unordered_pair(skolemFOFtoCNF_X_2,singleton(skolemFOFtoCNF_Y_1)),ordered_pair(skolemFOFtoCNF_X_2,skolemFOFtoCNF_Y_1)),
inference(subst,[],[refute_0_65:[bind(Y,$fot(skolemFOFtoCNF_Y_1)),bind(X_3723,$fot(skolemFOFtoCNF_X_2))]]) ).
cnf(refute_0_67,plain,
$false,
inference(resolve,[$cnf( member(unordered_pair(skolemFOFtoCNF_X_2,singleton(skolemFOFtoCNF_Y_1)),ordered_pair(skolemFOFtoCNF_X_2,skolemFOFtoCNF_Y_1)) )],[refute_0_66,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET102+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 19:36:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 146.92/147.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.92/147.15
% 146.92/147.15 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 146.92/147.15
%------------------------------------------------------------------------------