%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PHI023+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : 300s
% DateTime : Fri Jul 25 12:41:30 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 21 ~; 18 |; 7 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 18 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(if_god_then_exists,plain,
! [X] :
( god(X)
=> exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',if_god_then_exists) ).
fof(if_god_then_exists_negated,plain,
~ ! [X] :
( god(X)
=> exists(X) ),
inference(negate_conjecture,[status(cth)],[if_god_then_exists]) ).
cnf(57,plain,
god(sK1),
inference(cnf,[status(esa)],[if_god_then_exists_negated]) ).
cnf(l0,plain,
god(sK1),
inference(instantiation,[status(thm)],[57]) ).
fof(god,plain,
! [X] :
( god(X)
<=> ( being(X)
& absolutelyInfinite(X) ) ),
file('Axioms/PHI002+0.ax',god) ).
cnf(18,plain,
( ~ god(X0)
| absolutelyInfinite(X0) ),
inference(cnf,[status(esa)],[god]) ).
cnf(l1,plain,
( ~ god(sK1)
| absolutelyInfinite(sK1) ),
inference(instantiation,[status(thm)],[18]) ).
fof(absolutely_infinite,plain,
! [X,Y] :
( absolutelyInfinite(X)
<=> ( substance(X)
& constInInfAttributes(X)
& ( attributeOf(Y,X)
=> ( expressesEternalEssentiality(Y)
& expressesInfiniteEssentiality(Y) ) ) ) ),
file('Axioms/PHI002+0.ax',absolutely_infinite) ).
cnf(20,plain,
( ~ absolutelyInfinite(X0)
| substance(X0) ),
inference(cnf,[status(esa)],[absolutely_infinite]) ).
cnf(l2,plain,
( ~ absolutelyInfinite(sK1)
| substance(sK1) ),
inference(instantiation,[status(thm)],[20]) ).
fof(substance,plain,
! [X] :
( substance(X)
<=> ( inItself(X)
& conceivedThruItself(X) ) ),
file('Axioms/PHI002+0.ax',substance) ).
cnf(6,plain,
( ~ substance(X0)
| inItself(X0) ),
inference(cnf,[status(esa)],[substance]) ).
cnf(l3,plain,
( ~ substance(sK1)
| inItself(sK1) ),
inference(instantiation,[status(thm)],[6]) ).
fof(is_in_itself_is_self_caused,plain,
! [X] :
( inItself(X)
=> selfCaused(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_in_itself_is_self_caused) ).
cnf(54,plain,
( ~ inItself(X0)
| selfCaused(X0) ),
inference(cnf,[status(esa)],[is_in_itself_is_self_caused]) ).
cnf(l4,plain,
( ~ inItself(sK1)
| selfCaused(sK1) ),
inference(instantiation,[status(thm)],[54]) ).
fof(self_caused,plain,
! [X] :
( selfCaused(X)
<=> ( essenceInvExistence(X)
& natureConcOnlyByExistence(X) ) ),
file('Axioms/PHI002+0.ax',self_caused) ).
cnf(0,plain,
( ~ selfCaused(X0)
| essenceInvExistence(X0) ),
inference(cnf,[status(esa)],[self_caused]) ).
cnf(l5,plain,
( ~ selfCaused(sK1)
| essenceInvExistence(sK1) ),
inference(instantiation,[status(thm)],[0]) ).
fof(essence_involves_existence_exists,plain,
! [X] :
( ( essenceInvExistence(X)
& hasEssence(X) )
=> exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',essence_involves_existence_exists) ).
cnf(56,plain,
( ~ essenceInvExistence(X0)
| ~ hasEssence(X0)
| exists(X0) ),
inference(cnf,[status(esa)],[essence_involves_existence_exists]) ).
cnf(l20,plain,
( ~ essenceInvExistence(sK1)
| ~ hasEssence(sK1)
| exists(sK1) ),
inference(instantiation,[status(thm)],[56]) ).
fof(being_has_essense,plain,
! [X] :
( being(X)
=> hasEssence(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',being_has_essense) ).
cnf(55,plain,
( ~ being(X0)
| hasEssence(X0) ),
inference(cnf,[status(esa)],[being_has_essense]) ).
cnf(l23,plain,
( ~ being(sK1)
| hasEssence(sK1) ),
inference(instantiation,[status(thm)],[55]) ).
cnf(58,plain,
~ exists(sK1),
inference(cnf,[status(esa)],[if_god_then_exists_negated]) ).
cnf(l21,plain,
~ exists(sK1),
inference(instantiation,[status(thm)],[58]) ).
cnf(17,plain,
( ~ god(X0)
| being(X0) ),
inference(cnf,[status(esa)],[god]) ).
cnf(l24,plain,
( ~ god(sK1)
| being(sK1) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l20,l23,l21,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI023+1 : TPTP v9.0.0. Released v7.4.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : 300
% 0.13/0.34 % DateTime : Mon Jul 21 15:01:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------