TSTP Solution File: REL003+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 19:42:58 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 68 ( 38 unt; 0 def)
% Number of atoms : 118 ( 116 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 95 ( 45 ~; 33 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 4 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 23 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(goals,conjecture,
! [X0,X1] :
( ( join(X0,X1) = X1
=> join(converse(X0),converse(X1)) = converse(X1) )
& ( join(converse(X0),converse(X1)) = converse(X1)
=> join(X0,X1) = X1 ) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( join(X0,X1) = X1
=> join(converse(X0),converse(X1)) = converse(X1) ),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
! [X0,X1] :
( ( ( join(X0,X1) = X1
=> join(converse(X0),converse(X1)) = converse(X1) )
& join(converse(X0),converse(X1)) = converse(X1) )
=> join(X0,X1) = X1 ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( join(X0,X1) = X1
=> join(converse(X0),converse(X1)) = converse(X1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] :
( join(converse(X0),converse(X1)) != converse(X1)
& join(X0,X1) = X1 ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X1)
& join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1 ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_3,plain,
( converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != skolemFOFtoCNF_X1
| converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_4,plain,
( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != skolemFOFtoCNF_X1
| converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$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( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_11,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) = converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_11:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_13,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_14,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
( converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X1)
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) != converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),bind(Z,$fot(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_16,plain,
( converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X1)
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)),converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)) )],[refute_0_5,refute_0_16]) ).
cnf(refute_0_18,plain,
( converse(skolemFOFtoCNF_X1) != converse(skolemFOFtoCNF_X1)
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X1)
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)) ),[0,1],$fot(converse(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_19,plain,
( converse(skolemFOFtoCNF_X1) != converse(skolemFOFtoCNF_X1)
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
converse(skolemFOFtoCNF_X1) != converse(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)) )],[refute_0_19,refute_0_0]) ).
cnf(refute_0_21,plain,
converse(skolemFOFtoCNF_X1) = converse(skolemFOFtoCNF_X1),
introduced(tautology,[refl,[$fot(converse(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X1)) )],[refute_0_21,refute_0_20]) ).
fof(negate_1_0,plain,
~ ! [X0,X1] :
( ( ( join(X0,X1) = X1
=> join(converse(X0),converse(X1)) = converse(X1) )
& join(converse(X0),converse(X1)) = converse(X1) )
=> join(X0,X1) = X1 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_1_1,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
? [X0,X1] :
( join(X0,X1) != X1
& join(converse(X0),converse(X1)) = converse(X1)
& ( join(X0,X1) != X1
| join(converse(X0),converse(X1)) = converse(X1) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_3,plain,
( join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) != skolemFOFtoCNF_X1_1
& join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) = converse(skolemFOFtoCNF_X1_1)
& ( join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) != skolemFOFtoCNF_X1_1
| join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) = converse(skolemFOFtoCNF_X1_1) ) ),
inference(skolemize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) = converse(skolemFOFtoCNF_X1_1),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_1_6,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) != skolemFOFtoCNF_X1_1,
inference(conjunct,[],[normalize_1_3]) ).
cnf(refute_1_0,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
converse(converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1))) = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_1_0:[bind(X0,$fot(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_1_2,plain,
join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) = converse(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_3,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_1_8,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_1_3,refute_1_7]) ).
cnf(refute_1_9,plain,
join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) = converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)),
inference(subst,[],[refute_1_8:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_1_10,plain,
( join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) != converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1))
| join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) != converse(skolemFOFtoCNF_X1_1)
| converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) = converse(skolemFOFtoCNF_X1_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)),converse(skolemFOFtoCNF_X1_1)) ),[0],$fot(converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_1_11,plain,
( join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)) != converse(skolemFOFtoCNF_X1_1)
| converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) = converse(skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)),converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1))) )],[refute_1_9,refute_1_10]) ).
cnf(refute_1_12,plain,
converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) = converse(skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),converse(skolemFOFtoCNF_X1_1)),converse(skolemFOFtoCNF_X1_1)) )],[refute_1_2,refute_1_11]) ).
cnf(refute_1_13,plain,
( converse(converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1))) != join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)
| converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) != converse(skolemFOFtoCNF_X1_1)
| converse(converse(skolemFOFtoCNF_X1_1)) = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1))),join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) ),[0,0],$fot(converse(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_1_14,plain,
( converse(converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1))) != join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)
| converse(converse(skolemFOFtoCNF_X1_1)) = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)),converse(skolemFOFtoCNF_X1_1)) )],[refute_1_12,refute_1_13]) ).
cnf(refute_1_15,plain,
converse(converse(skolemFOFtoCNF_X1_1)) = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1))),join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) )],[refute_1_1,refute_1_14]) ).
cnf(refute_1_16,plain,
converse(converse(skolemFOFtoCNF_X1_1)) = skolemFOFtoCNF_X1_1,
inference(subst,[],[refute_1_0:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_1_17,plain,
( converse(converse(skolemFOFtoCNF_X1_1)) != join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)
| converse(converse(skolemFOFtoCNF_X1_1)) != skolemFOFtoCNF_X1_1
| skolemFOFtoCNF_X1_1 = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X1_1)),join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) ),[0],$fot(skolemFOFtoCNF_X1_1)]]) ).
cnf(refute_1_18,plain,
( converse(converse(skolemFOFtoCNF_X1_1)) != join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)
| skolemFOFtoCNF_X1_1 = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) ),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X1_1)),skolemFOFtoCNF_X1_1) )],[refute_1_16,refute_1_17]) ).
cnf(refute_1_19,plain,
skolemFOFtoCNF_X1_1 = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X1_1)),join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) )],[refute_1_15,refute_1_18]) ).
cnf(refute_1_20,plain,
join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) != skolemFOFtoCNF_X1_1,
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_21,plain,
( skolemFOFtoCNF_X1_1 != join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)
| join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1) = skolemFOFtoCNF_X1_1 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(skolemFOFtoCNF_X1_1)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_1_22,plain,
skolemFOFtoCNF_X1_1 != join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) )],[refute_1_21,refute_1_20]) ).
cnf(refute_1_23,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1)) )],[refute_1_19,refute_1_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n009.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 : Fri Jul 8 13:16:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38
% 0.14/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.39
%------------------------------------------------------------------------------