%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PHI023+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 16:47:40 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 13 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 199 ( 89 ~; 69 |; 22 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 46 ( 0 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(self_caused,axiom,
! [X] :
( selfCaused(X)
<=> ( essenceInvExistence(X)
& natureConcOnlyByExistence(X) ) ) ).
fof(substance,axiom,
! [X] :
( substance(X)
<=> ( inItself(X)
& conceivedThruItself(X) ) ) ).
fof(god,axiom,
! [X] :
( god(X)
<=> ( being(X)
& absolutelyInfinite(X) ) ) ).
fof(absolutely_infinite,axiom,
! [X,Y] :
( absolutelyInfinite(X)
<=> ( substance(X)
& constInInfAttributes(X)
& ( attributeOf(Y,X)
=> ( expressesEternalEssentiality(Y)
& expressesInfiniteEssentiality(Y) ) ) ) ) ).
fof(is_in_itself_is_self_caused,axiom,
! [X] :
( inItself(X)
=> selfCaused(X) ) ).
fof(being_has_essense,axiom,
! [X] :
( being(X)
=> hasEssence(X) ) ).
fof(essence_involves_existence_exists,axiom,
! [X] :
( ( essenceInvExistence(X)
& hasEssence(X) )
=> exists(X) ) ).
fof(if_god_then_exists,conjecture,
! [X] :
( god(X)
=> exists(X) ) ).
fof(subgoal_0,plain,
! [X] :
( god(X)
=> exists(X) ),
inference(strip,[],[if_god_then_exists]) ).
fof(negate_0_0,plain,
~ ! [X] :
( god(X)
=> exists(X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] :
( ~ exists(X)
& god(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ exists(skolemFOFtoCNF_X)
& god(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
god(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ god(X)
<=> ( ~ absolutelyInfinite(X)
| ~ being(X) ) ),
inference(canonicalize,[],[god]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ god(X)
<=> ( ~ absolutelyInfinite(X)
| ~ being(X) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ( ~ god(X)
| absolutelyInfinite(X) )
& ( ~ god(X)
| being(X) )
& ( ~ absolutelyInfinite(X)
| ~ being(X)
| god(X) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ god(X)
| being(X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ being(X)
| hasEssence(X) ),
inference(canonicalize,[],[being_has_essense]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ being(X)
| hasEssence(X) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ essenceInvExistence(X)
| ~ hasEssence(X)
| exists(X) ),
inference(canonicalize,[],[essence_involves_existence_exists]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ essenceInvExistence(X)
| ~ hasEssence(X)
| exists(X) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ selfCaused(X)
<=> ( ~ essenceInvExistence(X)
| ~ natureConcOnlyByExistence(X) ) ),
inference(canonicalize,[],[self_caused]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ selfCaused(X)
<=> ( ~ essenceInvExistence(X)
| ~ natureConcOnlyByExistence(X) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ( ~ selfCaused(X)
| essenceInvExistence(X) )
& ( ~ selfCaused(X)
| natureConcOnlyByExistence(X) )
& ( ~ essenceInvExistence(X)
| ~ natureConcOnlyByExistence(X)
| selfCaused(X) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ selfCaused(X)
| essenceInvExistence(X) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ substance(X)
<=> ( ~ conceivedThruItself(X)
| ~ inItself(X) ) ),
inference(canonicalize,[],[substance]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ substance(X)
<=> ( ~ conceivedThruItself(X)
| ~ inItself(X) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X] :
( ( ~ substance(X)
| conceivedThruItself(X) )
& ( ~ substance(X)
| inItself(X) )
& ( ~ conceivedThruItself(X)
| ~ inItself(X)
| substance(X) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ substance(X)
| inItself(X) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ god(X)
| absolutelyInfinite(X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ absolutelyInfinite(X)
<=> ( ~ constInInfAttributes(X)
| ~ substance(X)
| ( attributeOf(Y,X)
& ( ~ expressesEternalEssentiality(Y)
| ~ expressesInfiniteEssentiality(Y) ) ) ) ),
inference(canonicalize,[],[absolutely_infinite]) ).
fof(normalize_0_21,plain,
! [X,Y] :
( ~ absolutelyInfinite(X)
<=> ( ~ constInInfAttributes(X)
| ~ substance(X)
| ( attributeOf(Y,X)
& ( ~ expressesEternalEssentiality(Y)
| ~ expressesInfiniteEssentiality(Y) ) ) ) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X,Y] :
( ( ~ absolutelyInfinite(X)
| constInInfAttributes(X) )
& ( ~ absolutelyInfinite(X)
| substance(X) )
& ( ~ absolutelyInfinite(X)
| ~ attributeOf(Y,X)
| expressesEternalEssentiality(Y) )
& ( ~ absolutelyInfinite(X)
| ~ attributeOf(Y,X)
| expressesInfiniteEssentiality(Y) )
& ( ~ constInInfAttributes(X)
| ~ substance(X)
| absolutelyInfinite(X)
| attributeOf(Y,X) )
& ( ~ constInInfAttributes(X)
| ~ expressesEternalEssentiality(Y)
| ~ expressesInfiniteEssentiality(Y)
| ~ substance(X)
| absolutelyInfinite(X) ) ),
inference(clausify,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X] :
( ~ absolutelyInfinite(X)
| substance(X) ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ inItself(X)
| selfCaused(X) ),
inference(canonicalize,[],[is_in_itself_is_self_caused]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ inItself(X)
| selfCaused(X) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
~ exists(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
god(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ god(X)
| being(X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ god(skolemFOFtoCNF_X)
| being(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
being(skolemFOFtoCNF_X),
inference(resolve,[$cnf( god(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ being(X)
| hasEssence(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ being(skolemFOFtoCNF_X)
| hasEssence(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
hasEssence(skolemFOFtoCNF_X),
inference(resolve,[$cnf( being(skolemFOFtoCNF_X) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ essenceInvExistence(X)
| ~ hasEssence(X)
| exists(X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ essenceInvExistence(skolemFOFtoCNF_X)
| ~ hasEssence(skolemFOFtoCNF_X)
| exists(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
( ~ essenceInvExistence(skolemFOFtoCNF_X)
| exists(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( hasEssence(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ selfCaused(X)
| essenceInvExistence(X) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ selfCaused(skolemFOFtoCNF_X)
| essenceInvExistence(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_12,plain,
( ~ substance(X)
| inItself(X) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_13,plain,
( ~ substance(skolemFOFtoCNF_X)
| inItself(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_14,plain,
( ~ god(X)
| absolutelyInfinite(X) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_15,plain,
( ~ god(skolemFOFtoCNF_X)
| absolutelyInfinite(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_16,plain,
absolutelyInfinite(skolemFOFtoCNF_X),
inference(resolve,[$cnf( god(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ absolutelyInfinite(X)
| substance(X) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_18,plain,
( ~ absolutelyInfinite(skolemFOFtoCNF_X)
| substance(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_19,plain,
substance(skolemFOFtoCNF_X),
inference(resolve,[$cnf( absolutelyInfinite(skolemFOFtoCNF_X) )],[refute_0_16,refute_0_18]) ).
cnf(refute_0_20,plain,
inItself(skolemFOFtoCNF_X),
inference(resolve,[$cnf( substance(skolemFOFtoCNF_X) )],[refute_0_19,refute_0_13]) ).
cnf(refute_0_21,plain,
( ~ inItself(X)
| selfCaused(X) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_22,plain,
( ~ inItself(skolemFOFtoCNF_X)
| selfCaused(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_23,plain,
selfCaused(skolemFOFtoCNF_X),
inference(resolve,[$cnf( inItself(skolemFOFtoCNF_X) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
essenceInvExistence(skolemFOFtoCNF_X),
inference(resolve,[$cnf( selfCaused(skolemFOFtoCNF_X) )],[refute_0_23,refute_0_11]) ).
cnf(refute_0_25,plain,
exists(skolemFOFtoCNF_X),
inference(resolve,[$cnf( essenceInvExistence(skolemFOFtoCNF_X) )],[refute_0_24,refute_0_9]) ).
cnf(refute_0_26,plain,
~ exists(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_27,plain,
$false,
inference(resolve,[$cnf( exists(skolemFOFtoCNF_X) )],[refute_0_25,refute_0_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI023+1 : TPTP v8.1.0. Released v7.4.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.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 01:17:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------