TSTP Solution File: SWC406+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWC406+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 21:28:12 EDT 2022
% Result : Theorem 2.39s 2.59s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 338 ( 68 equ)
% Maximal formula atoms : 25 ( 7 avg)
% Number of connectives : 446 ( 153 ~; 127 |; 148 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 94 ( 0 sgn 41 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X0] :
( ssList(X0)
=> ( V != X0
| U != W
| ? [Y] :
( ssItem(Y)
& ( ( ~ memberP(W,Y)
& ! [Z] :
( ssItem(Z)
=> ( ~ memberP(X0,Z)
| ~ leq(Z,Y)
| Y = Z ) )
& memberP(X0,Y) )
| ( memberP(W,Y)
& ( ~ memberP(X0,Y)
| ? [Z] :
( ssItem(Z)
& Y != Z
& memberP(X0,Z)
& leq(Z,Y) ) ) ) ) )
| ! [X1] :
( ssItem(X1)
=> ( ~ memberP(U,X1)
| memberP(V,X1) ) ) ) ) ) ) ) ).
fof(subgoal_0,plain,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X0] :
( ( ssList(X0)
& ~ ( V != X0 )
& ~ ( U != W )
& ~ ? [Y] :
( ssItem(Y)
& ( ( ~ memberP(W,Y)
& ! [Z] :
( ssItem(Z)
=> ( ~ memberP(X0,Z)
| ~ leq(Z,Y)
| Y = Z ) )
& memberP(X0,Y) )
| ( memberP(W,Y)
& ( ~ memberP(X0,Y)
| ? [Z] :
( ssItem(Z)
& Y != Z
& memberP(X0,Z)
& leq(Z,Y) ) ) ) ) ) )
=> ! [X1] :
( ( ssItem(X1)
& ~ ~ memberP(U,X1) )
=> memberP(V,X1) ) ) ) ) ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X0] :
( ( ssList(X0)
& ~ ( V != X0 )
& ~ ( U != W )
& ~ ? [Y] :
( ssItem(Y)
& ( ( ~ memberP(W,Y)
& ! [Z] :
( ssItem(Z)
=> ( ~ memberP(X0,Z)
| ~ leq(Z,Y)
| Y = Z ) )
& memberP(X0,Y) )
| ( memberP(W,Y)
& ( ~ memberP(X0,Y)
| ? [Z] :
( ssItem(Z)
& Y != Z
& memberP(X0,Z)
& leq(Z,Y) ) ) ) ) ) )
=> ! [X1] :
( ( ssItem(X1)
& ~ ~ memberP(U,X1) )
=> memberP(V,X1) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X0] :
( U = W
& V = X0
& ssList(X0)
& ? [X1] :
( ~ memberP(V,X1)
& memberP(U,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(W,Y)
| ( memberP(X0,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X0,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(X0,Y)
| memberP(W,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X0,Z)
& ssItem(Z) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ssList(skolemFOFtoCNF_U_1)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X0] :
( V = X0
& skolemFOFtoCNF_U_1 = W
& ssList(X0)
& ? [X1] :
( ~ memberP(V,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(W,Y)
| ( memberP(X0,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X0,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(X0,Y)
| memberP(W,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X0,Z)
& ssItem(Z) ) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X0] :
( V = X0
& skolemFOFtoCNF_U_1 = W
& ssList(X0)
& ? [X1] :
( ~ memberP(V,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(W,Y)
| ( memberP(X0,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X0,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(X0,Y)
| memberP(W,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X0,Z)
& ssItem(Z) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ssList(skolemFOFtoCNF_V_12)
& ? [W] :
( ssList(W)
& ? [X0] :
( skolemFOFtoCNF_U_1 = W
& skolemFOFtoCNF_V_12 = X0
& ssList(X0)
& ? [X1] :
( ~ memberP(skolemFOFtoCNF_V_12,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(W,Y)
| ( memberP(X0,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X0,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(X0,Y)
| memberP(W,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X0,Z)
& ssItem(Z) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [W] :
( ssList(W)
& ? [X0] :
( skolemFOFtoCNF_U_1 = W
& skolemFOFtoCNF_V_12 = X0
& ssList(X0)
& ? [X1] :
( ~ memberP(skolemFOFtoCNF_V_12,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(W,Y)
| ( memberP(X0,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X0,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(X0,Y)
| memberP(W,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X0,Z)
& ssItem(Z) ) ) ) ) ) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( ssList(skolemFOFtoCNF_W_12)
& ? [X0] :
( skolemFOFtoCNF_U_1 = skolemFOFtoCNF_W_12
& skolemFOFtoCNF_V_12 = X0
& ssList(X0)
& ? [X1] :
( ~ memberP(skolemFOFtoCNF_V_12,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ( memberP(X0,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X0,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(X0,Y)
| memberP(skolemFOFtoCNF_W_12,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X0,Z)
& ssItem(Z) ) ) ) ) ) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
? [X0] :
( skolemFOFtoCNF_U_1 = skolemFOFtoCNF_W_12
& skolemFOFtoCNF_V_12 = X0
& ssList(X0)
& ? [X1] :
( ~ memberP(skolemFOFtoCNF_V_12,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ( memberP(X0,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X0,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(X0,Y)
| memberP(skolemFOFtoCNF_W_12,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X0,Z)
& ssItem(Z) ) ) ) ) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( skolemFOFtoCNF_U_1 = skolemFOFtoCNF_W_12
& skolemFOFtoCNF_V_12 = skolemFOFtoCNF_X_9
& ssList(skolemFOFtoCNF_X_9)
& ? [X1] :
( ~ memberP(skolemFOFtoCNF_V_12,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) )
& ! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ( memberP(skolemFOFtoCNF_X_9,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(skolemFOFtoCNF_X_9,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(skolemFOFtoCNF_X_9,Y)
| memberP(skolemFOFtoCNF_W_12,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(skolemFOFtoCNF_X_9,Z)
& ssItem(Z) ) ) ) ) ),
inference(skolemize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [X1] :
( ~ memberP(skolemFOFtoCNF_V_12,X1)
& memberP(skolemFOFtoCNF_U_1,X1)
& ssItem(X1) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
( ~ memberP(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X1)
& memberP(skolemFOFtoCNF_U_1,skolemFOFtoCNF_X1)
& ssItem(skolemFOFtoCNF_X1) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
memberP(skolemFOFtoCNF_U_1,skolemFOFtoCNF_X1),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ( memberP(skolemFOFtoCNF_X_9,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(skolemFOFtoCNF_X_9,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(skolemFOFtoCNF_X_9,Y)
| memberP(skolemFOFtoCNF_W_12,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(skolemFOFtoCNF_X_9,Z)
& ssItem(Z) ) ) ) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_12,plain,
! [Y] :
( ~ ssItem(Y)
| ( ( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ( memberP(skolemFOFtoCNF_X_9,Y)
& ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(skolemFOFtoCNF_X_9,Z)
| ~ ssItem(Z)
| Y = Z ) ) )
& ( ~ memberP(skolemFOFtoCNF_X_9,Y)
| memberP(skolemFOFtoCNF_W_12,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(skolemFOFtoCNF_X_9,Z)
& ssItem(Z) ) ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [Y,Z] :
( ( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_X_9,Y) )
& ( Y != skolemFOFtoCNF_Z_6(Y)
| ~ memberP(skolemFOFtoCNF_X_9,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_W_12,Y) )
& ( ~ memberP(skolemFOFtoCNF_X_9,Y)
| ~ ssItem(Y)
| leq(skolemFOFtoCNF_Z_6(Y),Y)
| memberP(skolemFOFtoCNF_W_12,Y) )
& ( ~ memberP(skolemFOFtoCNF_X_9,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_W_12,Y)
| memberP(skolemFOFtoCNF_X_9,skolemFOFtoCNF_Z_6(Y)) )
& ( ~ memberP(skolemFOFtoCNF_X_9,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_W_12,Y)
| ssItem(skolemFOFtoCNF_Z_6(Y)) )
& ( ~ leq(Z,Y)
| ~ memberP(skolemFOFtoCNF_W_12,Y)
| ~ memberP(skolemFOFtoCNF_X_9,Z)
| ~ ssItem(Y)
| ~ ssItem(Z)
| Y = Z ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [Y] :
( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_X_9,Y) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
skolemFOFtoCNF_U_1 = skolemFOFtoCNF_W_12,
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_16,plain,
skolemFOFtoCNF_V_12 = skolemFOFtoCNF_X_9,
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_17,plain,
ssItem(skolemFOFtoCNF_X1),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_18,plain,
~ memberP(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X1),
inference(conjunct,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
memberP(skolemFOFtoCNF_U_1,skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_1,plain,
( ~ memberP(skolemFOFtoCNF_W_12,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_X_9,Y) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_2,plain,
skolemFOFtoCNF_U_1 = skolemFOFtoCNF_W_12,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y0
| Y0 = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y0)]]) ).
cnf(refute_0_5,plain,
( X != Y0
| Y0 = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( skolemFOFtoCNF_U_1 != skolemFOFtoCNF_W_12
| skolemFOFtoCNF_W_12 = skolemFOFtoCNF_U_1 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_U_1)),bind(Y0,$fot(skolemFOFtoCNF_W_12))]]) ).
cnf(refute_0_7,plain,
skolemFOFtoCNF_W_12 = skolemFOFtoCNF_U_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_U_1,skolemFOFtoCNF_W_12) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( skolemFOFtoCNF_W_12 != skolemFOFtoCNF_U_1
| ~ memberP(skolemFOFtoCNF_U_1,Y)
| memberP(skolemFOFtoCNF_W_12,Y) ),
introduced(tautology,[equality,[$cnf( ~ memberP(skolemFOFtoCNF_W_12,Y) ),[0],$fot(skolemFOFtoCNF_U_1)]]) ).
cnf(refute_0_9,plain,
( ~ memberP(skolemFOFtoCNF_U_1,Y)
| memberP(skolemFOFtoCNF_W_12,Y) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_W_12,skolemFOFtoCNF_U_1) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ memberP(skolemFOFtoCNF_U_1,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_X_9,Y) ),
inference(resolve,[$cnf( memberP(skolemFOFtoCNF_W_12,Y) )],[refute_0_9,refute_0_1]) ).
cnf(refute_0_11,plain,
skolemFOFtoCNF_V_12 = skolemFOFtoCNF_X_9,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_12,plain,
( skolemFOFtoCNF_V_12 != skolemFOFtoCNF_X_9
| skolemFOFtoCNF_X_9 = skolemFOFtoCNF_V_12 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_V_12)),bind(Y0,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_0_13,plain,
skolemFOFtoCNF_X_9 = skolemFOFtoCNF_V_12,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X_9) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( skolemFOFtoCNF_X_9 != skolemFOFtoCNF_V_12
| ~ memberP(skolemFOFtoCNF_X_9,Y)
| memberP(skolemFOFtoCNF_V_12,Y) ),
introduced(tautology,[equality,[$cnf( memberP(skolemFOFtoCNF_X_9,Y) ),[0],$fot(skolemFOFtoCNF_V_12)]]) ).
cnf(refute_0_15,plain,
( ~ memberP(skolemFOFtoCNF_X_9,Y)
| memberP(skolemFOFtoCNF_V_12,Y) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X_9,skolemFOFtoCNF_V_12) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ memberP(skolemFOFtoCNF_U_1,Y)
| ~ ssItem(Y)
| memberP(skolemFOFtoCNF_V_12,Y) ),
inference(resolve,[$cnf( memberP(skolemFOFtoCNF_X_9,Y) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ memberP(skolemFOFtoCNF_U_1,skolemFOFtoCNF_X1)
| ~ ssItem(skolemFOFtoCNF_X1)
| memberP(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_16:[bind(Y,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_18,plain,
( ~ ssItem(skolemFOFtoCNF_X1)
| memberP(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( memberP(skolemFOFtoCNF_U_1,skolemFOFtoCNF_X1) )],[refute_0_0,refute_0_17]) ).
cnf(refute_0_19,plain,
ssItem(skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_20,plain,
memberP(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( ssItem(skolemFOFtoCNF_X1) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
~ memberP(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( memberP(skolemFOFtoCNF_V_12,skolemFOFtoCNF_X1) )],[refute_0_20,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC406+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 20:06:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.39/2.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.39/2.59
% 2.39/2.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.44/2.60
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