%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PHI014+1 : TPTP v9.0.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 12:41:29 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 19 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 46 ~; 45 |; 8 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 21 ( 2 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(god_exists,plain,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(god_exists_negated,plain,
~ exemplifies_property(existence,god),
inference(negate_conjecture,[status(cth)],[god_exists]) ).
cnf(12,plain,
~ exemplifies_property(existence,god),
inference(cnf,[status(esa)],[god_exists_negated]) ).
cnf(l0,plain,
~ exemplifies_property(existence,god),
inference(instantiation,[status(thm)],[12]) ).
fof(premise_2,plain,
! [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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
cnf(8,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| object(sK2(X0))
| exemplifies_property(existence,X0) ),
inference(cnf,[status(esa)],[premise_2]) ).
cnf(l1,plain,
( ~ is_the(god,none_greater)
| ~ object(god)
| object(sK2(god))
| exemplifies_property(existence,god) ),
inference(instantiation,[status(thm)],[8]) ).
fof(definition_god,plain,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
cnf(11,plain,
is_the(god,none_greater),
inference(cnf,[status(esa)],[definition_god]) ).
cnf(l2,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
fof(description_is_property_and_described_is_object,plain,
! [X,F] :
( is_the(X,F)
=> ( property(F)
& object(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
cnf(2,plain,
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf,[status(esa)],[description_is_property_and_described_is_object]) ).
cnf(l3,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[2]) ).
fof(definition_none_greater,plain,
! [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) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
cnf(4,plain,
( ~ object(X0)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0) ),
inference(cnf,[status(esa)],[definition_none_greater]) ).
cnf(l4,plain,
( ~ object(god)
| ~ object(sK2(god))
| ~ exemplifies_property(none_greater,god)
| ~ exemplifies_property(conceivable,sK2(god))
| ~ exemplifies_relation(greater_than,sK2(god),god) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l5,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
fof(description_theorem_2,plain,
! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
cnf(0,plain,
( ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| ~ property(X1)
| ~ object(X0)
| ~ object(X2)
| exemplifies_property(X1,X2) ),
inference(cnf,[status(esa)],[description_theorem_2]) ).
cnf(l9,plain,
( ~ is_the(god,none_greater)
| ~ is_the(god,none_greater)
| ~ property(none_greater)
| ~ object(god)
| ~ object(god)
| exemplifies_property(none_greater,god) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(existence,X0)
| exemplifies_property(conceivable,sK2(X0)) ),
inference(cnf,[status(esa)],[premise_2]) ).
cnf(l7,plain,
( ~ is_the(god,none_greater)
| ~ object(god)
| exemplifies_property(existence,god)
| exemplifies_property(conceivable,sK2(god)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l27,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(1,plain,
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf,[status(esa)],[description_is_property_and_described_is_object]) ).
cnf(l12,plain,
( ~ is_the(god,none_greater)
| property(none_greater) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(l10,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(l28,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l8,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(l29,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l11,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l30,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(l21,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK2(X0),X0) ),
inference(cnf,[status(esa)],[premise_2]) ).
cnf(l6,plain,
( ~ is_the(god,none_greater)
| ~ object(god)
| exemplifies_property(existence,god)
| exemplifies_relation(greater_than,sK2(god),god) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l31,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(l16,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l18,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(l15,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(l17,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l9,l24,l7,l27,l12,l19,l10,l28,l8,l29,l11,l30,l21,l6,l31,l16,l18,l15,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PHI014+1 : TPTP v9.0.0. Released v7.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.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 15:01:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 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: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------