%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PHI011+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 89 ( 6 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 97 ( 35 ~; 28 |; 24 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 15 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_1,axiom,
! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y) )
=> ( ( is_the(X,F)
& X = Y )
=> exemplifies_property(F,Y) ) ) ).
fof(description_theorem_2,conjecture,
! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ) ).
fof(subgoal_0,plain,
! [F] :
( ( property(F)
& ? [Y] :
( object(Y)
& is_the(Y,F) ) )
=> ! [Z] :
( ( object(Z)
& is_the(Z,F) )
=> exemplifies_property(F,Z) ) ),
inference(strip,[],[description_theorem_2]) ).
fof(negate_0_0,plain,
~ ! [F] :
( ( property(F)
& ? [Y] :
( object(Y)
& is_the(Y,F) ) )
=> ! [Z] :
( ( object(Z)
& is_the(Z,F) )
=> exemplifies_property(F,Z) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [F] :
( property(F)
& ? [Y] :
( is_the(Y,F)
& object(Y) )
& ? [Z] :
( ~ exemplifies_property(F,Z)
& is_the(Z,F)
& object(Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( property(skolemFOFtoCNF_F)
& ? [Y] :
( is_the(Y,skolemFOFtoCNF_F)
& object(Y) )
& ? [Z] :
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
& is_the(Z,skolemFOFtoCNF_F)
& object(Z) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [Z] :
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
& is_the(Z,skolemFOFtoCNF_F)
& object(Z) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z)
& is_the(skolemFOFtoCNF_Z,skolemFOFtoCNF_F)
& object(skolemFOFtoCNF_Z) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
is_the(skolemFOFtoCNF_Z,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [F,X,Y] :
( X != Y
| ~ is_the(X,F)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| exemplifies_property(F,Y) ),
inference(canonicalize,[],[lemma_1]) ).
fof(normalize_0_6,plain,
! [F,X,Y] :
( X != Y
| ~ is_the(X,F)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| exemplifies_property(F,Y) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
object(skolemFOFtoCNF_Z),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_8,plain,
property(skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
is_the(skolemFOFtoCNF_Z,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( X != Y
| ~ is_the(X,F)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| exemplifies_property(F,Y) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( Y != Y
| ~ is_the(Y,F)
| ~ object(Y)
| ~ property(F)
| exemplifies_property(F,Y) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_3,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_4,plain,
( ~ is_the(Y,F)
| ~ object(Y)
| ~ property(F)
| exemplifies_property(F,Y) ),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( ~ is_the(skolemFOFtoCNF_Z,skolemFOFtoCNF_F)
| ~ object(skolemFOFtoCNF_Z)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z) ),
inference(subst,[],[refute_0_4:[bind(F,$fot(skolemFOFtoCNF_F)),bind(Y,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_6,plain,
( ~ object(skolemFOFtoCNF_Z)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( is_the(skolemFOFtoCNF_Z,skolemFOFtoCNF_F) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
object(skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_8,plain,
( ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Z) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
property(skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_10,plain,
exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z),
inference(resolve,[$cnf( property(skolemFOFtoCNF_F) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z) )],[refute_0_10,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI011+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 : n029.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 01:03:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------