%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 16:47:38 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 234 ( 59 equ)
% Maximal formula atoms : 74 ( 4 avg)
% Number of connectives : 320 ( 134 ~; 132 |; 44 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(description_axiom_identity_instance,axiom,
! [F,X,W] :
( ( property(F)
& object(X)
& object(W) )
=> ( ( is_the(X,F)
& X = W )
<=> ? [Y] :
( object(Y)
& exemplifies_property(F,Y)
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& Y = W ) ) ) ).
fof(lemma_1,conjecture,
! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y) )
=> ( ( is_the(X,F)
& X = Y )
=> exemplifies_property(F,Y) ) ) ).
fof(subgoal_0,plain,
! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y)
& is_the(X,F)
& X = Y )
=> exemplifies_property(F,Y) ),
inference(strip,[],[lemma_1]) ).
fof(negate_0_0,plain,
~ ! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y)
& is_the(X,F)
& X = Y )
=> exemplifies_property(F,Y) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [F,X,Y] :
( ~ exemplifies_property(F,Y)
& X = Y
& is_the(X,F)
& object(X)
& object(Y)
& property(F) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
& skolemFOFtoCNF_X = skolemFOFtoCNF_Y_1
& is_the(skolemFOFtoCNF_X,skolemFOFtoCNF_F)
& object(skolemFOFtoCNF_X)
& object(skolemFOFtoCNF_Y_1)
& property(skolemFOFtoCNF_F) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
is_the(skolemFOFtoCNF_X,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [F,W,X] :
( ~ object(W)
| ~ object(X)
| ~ property(F)
| ( ( X = W
& is_the(X,F) )
<=> ? [Y] :
( Y = W
& exemplifies_property(F,Y)
& object(Y)
& ! [Z] :
( ~ exemplifies_property(F,Z)
| ~ object(Z)
| Z = Y ) ) ) ),
inference(canonicalize,[],[description_axiom_identity_instance]) ).
fof(normalize_0_4,plain,
! [F,W,X] :
( ~ object(W)
| ~ object(X)
| ~ property(F)
| ( ( X = W
& is_the(X,F) )
<=> ? [Y] :
( Y = W
& exemplifies_property(F,Y)
& object(Y)
& ! [Z] :
( ~ exemplifies_property(F,Z)
| ~ object(Z)
| Z = Y ) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [F,W,X,Y,Z] :
( ( X != W
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ property(F)
| skolemFOFtoCNF_Y(F,W) = W )
& ( X != W
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ property(F)
| exemplifies_property(F,skolemFOFtoCNF_Y(F,W)) )
& ( X != W
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ property(F)
| object(skolemFOFtoCNF_Y(F,W)) )
& ( X != W
| ~ exemplifies_property(F,Z)
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ object(Z)
| ~ property(F)
| Z = skolemFOFtoCNF_Y(F,W) )
& ( Y != W
| skolemFOFtoCNF_Z(F,Y) != Y
| ~ exemplifies_property(F,Y)
| ~ object(W)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| X = W )
& ( Y != W
| skolemFOFtoCNF_Z(F,Y) != Y
| ~ exemplifies_property(F,Y)
| ~ object(W)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| is_the(X,F) )
& ( Y != W
| ~ exemplifies_property(F,Y)
| ~ object(W)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| X = W
| exemplifies_property(F,skolemFOFtoCNF_Z(F,Y)) )
& ( Y != W
| ~ exemplifies_property(F,Y)
| ~ object(W)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| X = W
| object(skolemFOFtoCNF_Z(F,Y)) )
& ( Y != W
| ~ exemplifies_property(F,Y)
| ~ object(W)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| exemplifies_property(F,skolemFOFtoCNF_Z(F,Y))
| is_the(X,F) )
& ( Y != W
| ~ exemplifies_property(F,Y)
| ~ object(W)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| is_the(X,F)
| object(skolemFOFtoCNF_Z(F,Y)) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [F,W,X] :
( X != W
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ property(F)
| exemplifies_property(F,skolemFOFtoCNF_Y(F,W)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [F,W,X] :
( X != W
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ property(F)
| skolemFOFtoCNF_Y(F,W) = W ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_8,plain,
object(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
property(skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
skolemFOFtoCNF_X = skolemFOFtoCNF_Y_1,
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
is_the(skolemFOFtoCNF_X,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( X != W
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ property(F)
| exemplifies_property(F,skolemFOFtoCNF_Y(F,W)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( W != W
| ~ is_the(W,F)
| ~ object(W)
| ~ property(F)
| exemplifies_property(F,skolemFOFtoCNF_Y(F,W)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(W))]]) ).
cnf(refute_0_3,plain,
W = W,
introduced(tautology,[refl,[$fot(W)]]) ).
cnf(refute_0_4,plain,
( ~ is_the(W,F)
| ~ object(W)
| ~ property(F)
| exemplifies_property(F,skolemFOFtoCNF_Y(F,W)) ),
inference(resolve,[$cnf( $equal(W,W) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( ~ is_the(skolemFOFtoCNF_X,skolemFOFtoCNF_F)
| ~ object(skolemFOFtoCNF_X)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_4:[bind(F,$fot(skolemFOFtoCNF_F)),bind(W,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
( ~ object(skolemFOFtoCNF_X)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( is_the(skolemFOFtoCNF_X,skolemFOFtoCNF_F) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
( X != W
| ~ is_the(X,F)
| ~ object(W)
| ~ object(X)
| ~ property(F)
| skolemFOFtoCNF_Y(F,W) = W ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_8,plain,
( W != W
| ~ is_the(W,F)
| ~ object(W)
| ~ property(F)
| skolemFOFtoCNF_Y(F,W) = W ),
inference(subst,[],[refute_0_7:[bind(X,$fot(W))]]) ).
cnf(refute_0_9,plain,
( ~ is_the(W,F)
| ~ object(W)
| ~ property(F)
| skolemFOFtoCNF_Y(F,W) = W ),
inference(resolve,[$cnf( $equal(W,W) )],[refute_0_3,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ is_the(skolemFOFtoCNF_X,skolemFOFtoCNF_F)
| ~ object(skolemFOFtoCNF_X)
| ~ property(skolemFOFtoCNF_F)
| skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X) = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_9:[bind(F,$fot(skolemFOFtoCNF_F)),bind(W,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_11,plain,
( ~ object(skolemFOFtoCNF_X)
| ~ property(skolemFOFtoCNF_F)
| skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X) = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( is_the(skolemFOFtoCNF_X,skolemFOFtoCNF_F) )],[refute_0_0,refute_0_10]) ).
cnf(refute_0_12,plain,
object(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_13,plain,
( ~ property(skolemFOFtoCNF_F)
| skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X) = skolemFOFtoCNF_X ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
property(skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_15,plain,
skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X) = skolemFOFtoCNF_X,
inference(resolve,[$cnf( property(skolemFOFtoCNF_F) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
( skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X) != skolemFOFtoCNF_X
| ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X))
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X) ),
introduced(tautology,[equality,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X)) ),[1],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_17,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X))
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X),skolemFOFtoCNF_X) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ object(skolemFOFtoCNF_X)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y(skolemFOFtoCNF_F,skolemFOFtoCNF_X)) )],[refute_0_6,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_12,refute_0_18]) ).
cnf(refute_0_20,plain,
exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X),
inference(resolve,[$cnf( property(skolemFOFtoCNF_F) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_22,plain,
skolemFOFtoCNF_X = skolemFOFtoCNF_Y_1,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_23,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_24,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_25,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( skolemFOFtoCNF_X != skolemFOFtoCNF_Y_1
| skolemFOFtoCNF_Y_1 = skolemFOFtoCNF_X ),
inference(subst,[],[refute_0_25:[bind(X0,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_27,plain,
skolemFOFtoCNF_Y_1 = skolemFOFtoCNF_X,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1) )],[refute_0_22,refute_0_26]) ).
cnf(refute_0_28,plain,
( skolemFOFtoCNF_Y_1 != skolemFOFtoCNF_X
| ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) ),
introduced(tautology,[equality,[$cnf( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) ),[1],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_29,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X),
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) )],[refute_0_29,refute_0_21]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_X) )],[refute_0_20,refute_0_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 00:21:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------