%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 0.40s 0.58s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 4
% Syntax : Number of formulae : 61 ( 10 unt; 0 def)
% Number of atoms : 348 ( 29 equ)
% Maximal formula atoms : 74 ( 5 avg)
% Number of connectives : 490 ( 203 ~; 225 |; 46 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 45 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(description_axiom_schema_instance,axiom,
! [F,G,X] :
( ( property(F)
& property(G)
& object(X) )
=> ( ( is_the(X,F)
& exemplifies_property(G,X) )
<=> ? [Y] :
( object(Y)
& exemplifies_property(F,Y)
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& exemplifies_property(G,Y) ) ) ) ).
fof(description_theorem_1,conjecture,
! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& exemplifies_property(F,Y)
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) ) )
=> ? [U] :
( object(U)
& is_the(U,F) ) ) ) ).
fof(subgoal_0,plain,
! [F] :
( ( property(F)
& ? [Y] :
( object(Y)
& exemplifies_property(F,Y)
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) ) ) )
=> ? [U] :
( object(U)
& is_the(U,F) ) ),
inference(strip,[],[description_theorem_1]) ).
fof(negate_0_0,plain,
~ ! [F] :
( ( property(F)
& ? [Y] :
( object(Y)
& exemplifies_property(F,Y)
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) ) ) )
=> ? [U] :
( object(U)
& is_the(U,F) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [F] :
( property(F)
& ? [Y] :
( exemplifies_property(F,Y)
& object(Y)
& ! [Z] :
( ~ exemplifies_property(F,Z)
| ~ object(Z)
| Z = Y ) )
& ! [U] :
( ~ is_the(U,F)
| ~ object(U) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( property(skolemFOFtoCNF_F)
& ? [Y] :
( exemplifies_property(skolemFOFtoCNF_F,Y)
& object(Y)
& ! [Z] :
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
| ~ object(Z)
| Z = Y ) )
& ! [U] :
( ~ is_the(U,skolemFOFtoCNF_F)
| ~ object(U) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [U] :
( ~ is_the(U,skolemFOFtoCNF_F)
| ~ object(U) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U] :
( ~ is_the(U,skolemFOFtoCNF_F)
| ~ object(U) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [Y] :
( exemplifies_property(skolemFOFtoCNF_F,Y)
& object(Y)
& ! [Z] :
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
| ~ object(Z)
| Z = Y ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
& object(skolemFOFtoCNF_Y_1)
& ! [Z] :
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
| ~ object(Z)
| Z = skolemFOFtoCNF_Y_1 ) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
object(skolemFOFtoCNF_Y_1),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_8,plain,
! [F,G,X] :
( ~ object(X)
| ~ property(F)
| ~ property(G)
| ( ( exemplifies_property(G,X)
& is_the(X,F) )
<=> ? [Y] :
( exemplifies_property(F,Y)
& exemplifies_property(G,Y)
& object(Y)
& ! [Z] :
( ~ exemplifies_property(F,Z)
| ~ object(Z)
| Z = Y ) ) ) ),
inference(canonicalize,[],[description_axiom_schema_instance]) ).
fof(normalize_0_9,plain,
! [F,G,X] :
( ~ object(X)
| ~ property(F)
| ~ property(G)
| ( ( exemplifies_property(G,X)
& is_the(X,F) )
<=> ? [Y] :
( exemplifies_property(F,Y)
& exemplifies_property(G,Y)
& object(Y)
& ! [Z] :
( ~ exemplifies_property(F,Z)
| ~ object(Z)
| Z = Y ) ) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [F,G,X,Y,Z] :
( ( ~ exemplifies_property(G,X)
| ~ is_the(X,F)
| ~ object(X)
| ~ property(F)
| ~ property(G)
| exemplifies_property(F,skolemFOFtoCNF_Y(F,G)) )
& ( ~ exemplifies_property(G,X)
| ~ is_the(X,F)
| ~ object(X)
| ~ property(F)
| ~ property(G)
| exemplifies_property(G,skolemFOFtoCNF_Y(F,G)) )
& ( ~ exemplifies_property(G,X)
| ~ is_the(X,F)
| ~ object(X)
| ~ property(F)
| ~ property(G)
| object(skolemFOFtoCNF_Y(F,G)) )
& ( skolemFOFtoCNF_Z(F,Y) != Y
| ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| exemplifies_property(G,X) )
& ( skolemFOFtoCNF_Z(F,Y) != Y
| ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| is_the(X,F) )
& ( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| exemplifies_property(F,skolemFOFtoCNF_Z(F,Y))
| exemplifies_property(G,X) )
& ( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| exemplifies_property(F,skolemFOFtoCNF_Z(F,Y))
| is_the(X,F) )
& ( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| exemplifies_property(G,X)
| object(skolemFOFtoCNF_Z(F,Y)) )
& ( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| is_the(X,F)
| object(skolemFOFtoCNF_Z(F,Y)) )
& ( ~ exemplifies_property(F,Z)
| ~ exemplifies_property(G,X)
| ~ is_the(X,F)
| ~ object(X)
| ~ object(Z)
| ~ property(F)
| ~ property(G)
| Z = skolemFOFtoCNF_Y(F,G) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [F,G,X,Y] :
( skolemFOFtoCNF_Z(F,Y) != Y
| ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| is_the(X,F) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [F,G,X,Y] :
( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| is_the(X,F)
| object(skolemFOFtoCNF_Z(F,Y)) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_13,plain,
property(skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
! [Z] :
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
| ~ object(Z)
| Z = skolemFOFtoCNF_Y_1 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_15,plain,
! [Z] :
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
| ~ object(Z)
| Z = skolemFOFtoCNF_Y_1 ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [F,G,X,Y] :
( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| exemplifies_property(F,skolemFOFtoCNF_Z(F,Y))
| exemplifies_property(G,X) ),
inference(conjunct,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ is_the(U,skolemFOFtoCNF_F)
| ~ object(U) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F)
| ~ object(skolemFOFtoCNF_Y_1) ),
inference(subst,[],[refute_0_0:[bind(U,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_2,plain,
object(skolemFOFtoCNF_Y_1),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( skolemFOFtoCNF_Z(F,Y) != Y
| ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| is_the(X,F) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) != skolemFOFtoCNF_Y_1
| ~ exemplifies_property(X_76,skolemFOFtoCNF_Y_1)
| ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
| ~ object(X_77)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(X_76)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_77,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_4:[bind(F,$fot(skolemFOFtoCNF_F)),bind(G,$fot(X_76)),bind(X,$fot(X_77)),bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_6,plain,
( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| is_the(X,F)
| object(skolemFOFtoCNF_Z(F,Y)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
| ~ object(X_12)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_12,skolemFOFtoCNF_F)
| object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(subst,[],[refute_0_6:[bind(F,$fot(skolemFOFtoCNF_F)),bind(G,$fot(skolemFOFtoCNF_F)),bind(X,$fot(X_12)),bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_8,plain,
( ~ object(X_12)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_12,skolemFOFtoCNF_F)
| object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ object(X_12)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_12,skolemFOFtoCNF_F)
| object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1) )],[refute_0_2,refute_0_8]) ).
cnf(refute_0_10,plain,
property(skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ object(X_12)
| is_the(X_12,skolemFOFtoCNF_F)
| object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( property(skolemFOFtoCNF_F) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( ~ object(skolemFOFtoCNF_Y_1)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F)
| object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(subst,[],[refute_0_11:[bind(X_12,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_13,plain,
( is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F)
| object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1) )],[refute_0_2,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,Z)
| ~ object(Z)
| Z = skolemFOFtoCNF_Y_1 ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_15,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1))
| ~ object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1))
| skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) = skolemFOFtoCNF_Y_1 ),
inference(subst,[],[refute_0_14:[bind(Z,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)))]]) ).
cnf(refute_0_16,plain,
( ~ exemplifies_property(F,Y)
| ~ exemplifies_property(G,Y)
| ~ object(X)
| ~ object(Y)
| ~ property(F)
| ~ property(G)
| exemplifies_property(F,skolemFOFtoCNF_Z(F,Y))
| exemplifies_property(G,X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_17,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
| ~ object(X_22)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,X_22)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(subst,[],[refute_0_16:[bind(F,$fot(skolemFOFtoCNF_F)),bind(G,$fot(skolemFOFtoCNF_F)),bind(X,$fot(X_22)),bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_18,plain,
( ~ object(X_22)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,X_22)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) )],[refute_0_3,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ object(X_22)
| ~ property(skolemFOFtoCNF_F)
| exemplifies_property(skolemFOFtoCNF_F,X_22)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1) )],[refute_0_2,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ object(X_22)
| exemplifies_property(skolemFOFtoCNF_F,X_22)
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( property(skolemFOFtoCNF_F) )],[refute_0_10,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1))
| exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) ),
inference(subst,[],[refute_0_20:[bind(X_22,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)))]]) ).
cnf(refute_0_22,plain,
( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1))
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) )],[refute_0_13,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1))
| skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) = skolemFOFtoCNF_Y_1
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) )],[refute_0_22,refute_0_15]) ).
cnf(refute_0_24,plain,
( skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) = skolemFOFtoCNF_Y_1
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)) )],[refute_0_13,refute_0_23]) ).
cnf(refute_0_25,plain,
( skolemFOFtoCNF_Y_1 != skolemFOFtoCNF_Y_1
| skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) != skolemFOFtoCNF_Y_1
| skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) = skolemFOFtoCNF_Y_1 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1) ),[0,1],$fot(skolemFOFtoCNF_Y_1)]]) ).
cnf(refute_0_26,plain,
( skolemFOFtoCNF_Y_1 != skolemFOFtoCNF_Y_1
| skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) = skolemFOFtoCNF_Y_1
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( skolemFOFtoCNF_Y_1 != skolemFOFtoCNF_Y_1
| ~ exemplifies_property(X_76,skolemFOFtoCNF_Y_1)
| ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
| ~ object(X_77)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(X_76)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_77,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1) )],[refute_0_26,refute_0_5]) ).
cnf(refute_0_28,plain,
skolemFOFtoCNF_Y_1 = skolemFOFtoCNF_Y_1,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_Y_1)]]) ).
cnf(refute_0_29,plain,
( ~ exemplifies_property(X_76,skolemFOFtoCNF_Y_1)
| ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
| ~ object(X_77)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(X_76)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_77,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_Y_1) )],[refute_0_28,refute_0_27]) ).
cnf(refute_0_30,plain,
( ~ exemplifies_property(X_76,skolemFOFtoCNF_Y_1)
| ~ object(X_77)
| ~ object(skolemFOFtoCNF_Y_1)
| ~ property(X_76)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_77,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) )],[refute_0_3,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ exemplifies_property(X_76,skolemFOFtoCNF_Y_1)
| ~ object(X_77)
| ~ property(X_76)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_77,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1) )],[refute_0_2,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ exemplifies_property(X_76,skolemFOFtoCNF_Y_1)
| ~ object(X_77)
| ~ property(X_76)
| is_the(X_77,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( property(skolemFOFtoCNF_F) )],[refute_0_10,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1)
| ~ object(X_80)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_80,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_32:[bind(X_76,$fot(skolemFOFtoCNF_F)),bind(X_77,$fot(X_80))]]) ).
cnf(refute_0_34,plain,
( ~ object(X_80)
| ~ property(skolemFOFtoCNF_F)
| is_the(X_80,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( exemplifies_property(skolemFOFtoCNF_F,skolemFOFtoCNF_Y_1) )],[refute_0_3,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ object(X_80)
| is_the(X_80,skolemFOFtoCNF_F)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( property(skolemFOFtoCNF_F) )],[refute_0_10,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ object(skolemFOFtoCNF_Y_1)
| is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_35:[bind(X_80,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_0_37,plain,
is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1) )],[refute_0_2,refute_0_36]) ).
cnf(refute_0_38,plain,
~ object(skolemFOFtoCNF_Y_1),
inference(resolve,[$cnf( is_the(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_F) )],[refute_0_37,refute_0_1]) ).
cnf(refute_0_39,plain,
$false,
inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1) )],[refute_0_2,refute_0_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 01:25:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58
% 0.40/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.59
%------------------------------------------------------------------------------