TSTP Solution File: PHI013+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 16:47:39 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 63 ( 16 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 276 ( 116 ~; 124 |; 25 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 56 ( 2 sgn 37 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(description_theorem_2,axiom,
! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ) ).
fof(description_is_property_and_described_is_object,axiom,
! [X,F] :
( is_the(X,F)
=> ( property(F)
& object(X) ) ) ).
fof(definition_none_greater,axiom,
! [X] :
( object(X)
=> ( exemplifies_property(none_greater,X)
<=> ( exemplifies_property(conceivable,X)
& ~ ? [Y] :
( object(Y)
& exemplifies_relation(greater_than,Y,X)
& exemplifies_property(conceivable,Y) ) ) ) ) ).
fof(premise_2,axiom,
! [X] :
( object(X)
=> ( ( is_the(X,none_greater)
& ~ exemplifies_property(existence,X) )
=> ? [Y] :
( object(Y)
& exemplifies_relation(greater_than,Y,X)
& exemplifies_property(conceivable,Y) ) ) ) ).
fof(definition_god,axiom,
is_the(god,none_greater) ).
fof(god_exists,conjecture,
exemplifies_property(existence,god) ).
fof(subgoal_0,plain,
exemplifies_property(existence,god),
inference(strip,[],[god_exists]) ).
fof(negate_0_0,plain,
~ exemplifies_property(existence,god),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
is_the(god,none_greater),
inference(canonicalize,[],[definition_god]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) ) ),
inference(canonicalize,[],[premise_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(X))
| exemplifies_property(existence,X) )
& ( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(X),X) )
& ( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| object(skolemFOFtoCNF_Y_1(X)) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(X),X) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [F,X] :
( ~ is_the(X,F)
| ( object(X)
& property(F) ) ),
inference(canonicalize,[],[description_is_property_and_described_is_object]) ).
fof(normalize_0_6,plain,
! [F,X] :
( ~ is_the(X,F)
| ( object(X)
& property(F) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [F,X] :
( ( ~ is_the(X,F)
| object(X) )
& ( ~ is_the(X,F)
| property(F) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [F,X] :
( ~ is_the(X,F)
| object(X) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
~ exemplifies_property(existence,god),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ object(X)
| ( ~ exemplifies_property(none_greater,X)
<=> ( ~ exemplifies_property(conceivable,X)
| ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) ) ) ) ),
inference(canonicalize,[],[definition_none_greater]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ object(X)
| ( ~ exemplifies_property(none_greater,X)
<=> ( ~ exemplifies_property(conceivable,X)
| ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) ) ) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ( ~ exemplifies_property(none_greater,X)
| ~ object(X)
| exemplifies_property(conceivable,X) )
& ( ~ exemplifies_property(conceivable,X)
| ~ object(X)
| exemplifies_property(conceivable,skolemFOFtoCNF_Y(X))
| exemplifies_property(none_greater,X) )
& ( ~ exemplifies_property(conceivable,X)
| ~ object(X)
| exemplifies_property(none_greater,X)
| exemplifies_relation(greater_than,skolemFOFtoCNF_Y(X),X) )
& ( ~ exemplifies_property(conceivable,X)
| ~ object(X)
| exemplifies_property(none_greater,X)
| object(skolemFOFtoCNF_Y(X)) )
& ( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_property(none_greater,X)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(X)
| ~ object(Y) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_property(none_greater,X)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(X)
| ~ object(Y) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(X))
| exemplifies_property(existence,X) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_15,plain,
! [F] :
( ~ property(F)
| ! [Y] :
( ~ is_the(Y,F)
| ~ object(Y) )
| ! [Z] :
( ~ is_the(Z,F)
| ~ object(Z)
| exemplifies_property(F,Z) ) ),
inference(canonicalize,[],[description_theorem_2]) ).
fof(normalize_0_16,plain,
! [F] :
( ~ property(F)
| ! [Y] :
( ~ is_the(Y,F)
| ~ object(Y) )
| ! [Z] :
( ~ is_the(Z,F)
| ~ object(Z)
| exemplifies_property(F,Z) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [F,Y,Z] :
( ~ is_the(Y,F)
| ~ is_the(Z,F)
| ~ object(Y)
| ~ object(Z)
| ~ property(F)
| exemplifies_property(F,Z) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [F,X] :
( ~ is_the(X,F)
| property(F) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| object(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
is_the(god,none_greater),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(X),X) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ is_the(god,none_greater)
| ~ object(god)
| exemplifies_property(existence,god)
| exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(god),god) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(god))]]) ).
cnf(refute_0_3,plain,
( ~ object(god)
| exemplifies_property(existence,god)
| exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(god),god) ),
inference(resolve,[$cnf( is_the(god,none_greater) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ is_the(X,F)
| object(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(subst,[],[refute_0_4:[bind(F,$fot(none_greater)),bind(X,$fot(god))]]) ).
cnf(refute_0_6,plain,
object(god),
inference(resolve,[$cnf( is_the(god,none_greater) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
( exemplifies_property(existence,god)
| exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(god),god) ),
inference(resolve,[$cnf( object(god) )],[refute_0_6,refute_0_3]) ).
cnf(refute_0_8,plain,
~ exemplifies_property(existence,god),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(god),god),
inference(resolve,[$cnf( exemplifies_property(existence,god) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_property(none_greater,X)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(X)
| ~ object(Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(god))
| ~ exemplifies_property(none_greater,god)
| ~ exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(god),god)
| ~ object(god)
| ~ object(skolemFOFtoCNF_Y_1(god)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(god)),bind(Y,$fot(skolemFOFtoCNF_Y_1(god)))]]) ).
cnf(refute_0_12,plain,
( ~ exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(god))
| ~ exemplifies_property(none_greater,god)
| ~ object(god)
| ~ object(skolemFOFtoCNF_Y_1(god)) ),
inference(resolve,[$cnf( exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(god),god) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(X))
| exemplifies_property(existence,X) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( ~ is_the(god,none_greater)
| ~ object(god)
| exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(god))
| exemplifies_property(existence,god) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(god))]]) ).
cnf(refute_0_15,plain,
( ~ object(god)
| exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(god))
| exemplifies_property(existence,god) ),
inference(resolve,[$cnf( is_the(god,none_greater) )],[refute_0_0,refute_0_14]) ).
cnf(refute_0_16,plain,
( exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(god))
| exemplifies_property(existence,god) ),
inference(resolve,[$cnf( object(god) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,plain,
exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(god)),
inference(resolve,[$cnf( exemplifies_property(existence,god) )],[refute_0_16,refute_0_8]) ).
cnf(refute_0_18,plain,
( ~ exemplifies_property(none_greater,god)
| ~ object(god)
| ~ object(skolemFOFtoCNF_Y_1(god)) ),
inference(resolve,[$cnf( exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(god)) )],[refute_0_17,refute_0_12]) ).
cnf(refute_0_19,plain,
( ~ is_the(Y,F)
| ~ is_the(Z,F)
| ~ object(Y)
| ~ object(Z)
| ~ property(F)
| exemplifies_property(F,Z) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_20,plain,
( ~ is_the(god,none_greater)
| ~ object(god)
| ~ property(none_greater)
| exemplifies_property(none_greater,god) ),
inference(subst,[],[refute_0_19:[bind(F,$fot(none_greater)),bind(Y,$fot(god)),bind(Z,$fot(god))]]) ).
cnf(refute_0_21,plain,
( ~ object(god)
| ~ property(none_greater)
| exemplifies_property(none_greater,god) ),
inference(resolve,[$cnf( is_the(god,none_greater) )],[refute_0_0,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ property(none_greater)
| exemplifies_property(none_greater,god) ),
inference(resolve,[$cnf( object(god) )],[refute_0_6,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ is_the(X,F)
| property(F) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_24,plain,
( ~ is_the(god,none_greater)
| property(none_greater) ),
inference(subst,[],[refute_0_23:[bind(F,$fot(none_greater)),bind(X,$fot(god))]]) ).
cnf(refute_0_25,plain,
property(none_greater),
inference(resolve,[$cnf( is_the(god,none_greater) )],[refute_0_0,refute_0_24]) ).
cnf(refute_0_26,plain,
exemplifies_property(none_greater,god),
inference(resolve,[$cnf( property(none_greater) )],[refute_0_25,refute_0_22]) ).
cnf(refute_0_27,plain,
( ~ object(god)
| ~ object(skolemFOFtoCNF_Y_1(god)) ),
inference(resolve,[$cnf( exemplifies_property(none_greater,god) )],[refute_0_26,refute_0_18]) ).
cnf(refute_0_28,plain,
~ object(skolemFOFtoCNF_Y_1(god)),
inference(resolve,[$cnf( object(god) )],[refute_0_6,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ is_the(X,none_greater)
| ~ object(X)
| exemplifies_property(existence,X)
| object(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_30,plain,
( ~ is_the(god,none_greater)
| ~ object(god)
| exemplifies_property(existence,god)
| object(skolemFOFtoCNF_Y_1(god)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(god))]]) ).
cnf(refute_0_31,plain,
( ~ object(god)
| exemplifies_property(existence,god)
| object(skolemFOFtoCNF_Y_1(god)) ),
inference(resolve,[$cnf( is_the(god,none_greater) )],[refute_0_0,refute_0_30]) ).
cnf(refute_0_32,plain,
( exemplifies_property(existence,god)
| object(skolemFOFtoCNF_Y_1(god)) ),
inference(resolve,[$cnf( object(god) )],[refute_0_6,refute_0_31]) ).
cnf(refute_0_33,plain,
object(skolemFOFtoCNF_Y_1(god)),
inference(resolve,[$cnf( exemplifies_property(existence,god) )],[refute_0_32,refute_0_8]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1(god)) )],[refute_0_33,refute_0_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.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 01:14:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.37
%------------------------------------------------------------------------------