%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PHI015+1 : TPTP v9.0.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 13.61s 2.06s
% Output : CNFRefutation 13.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 23 unt; 0 def)
% Number of atoms : 138 ( 9 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 143 ( 60 ~; 58 |; 15 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 32 ( 4 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(god_exists,plain,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(god_exists_negated,plain,
~ exemplifies_property(existence,god),
inference(negate_conjecture,[status(cth)],[god_exists]) ).
cnf(35,plain,
~ exemplifies_property(existence,god),
inference(cnf,[status(esa)],[god_exists_negated]) ).
cnf(l0,plain,
~ exemplifies_property(existence,god),
inference(instantiation,[status(thm)],[35]) ).
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/sandbox/benchmark/theBenchmark.p',premise_2) ).
cnf(32,plain,
( ~ object(X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK9(X0),X0) ),
inference(cnf,[status(esa)],[premise_2]) ).
cnf(l1,plain,
( ~ object(god)
| ~ is_the(god,none_greater)
| exemplifies_property(existence,god)
| exemplifies_relation(greater_than,sK9(god),god) ),
inference(instantiation,[status(thm)],[32]) ).
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/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
cnf(25,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(l2,plain,
( ~ object(god)
| ~ object(sK9(god))
| ~ exemplifies_property(none_greater,god)
| ~ exemplifies_property(conceivable,sK9(god))
| ~ exemplifies_relation(greater_than,sK9(god),god) ),
inference(instantiation,[status(thm)],[25]) ).
fof(description_is_property_and_described_is_object,plain,
! [X,F] :
( is_the(X,F)
=> ( property(F)
& object(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
cnf(4,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)],[4]) ).
fof(description_axiom_identity_instance,plain,
! [F,X,W] :
( ( property(F)
& object(X)
& object(W) )
=> ( ( is_the(X,F)
& X = W )
<=> ? [Y] :
( object(Y)
& exemplifies_property(F,Y)
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& Y = W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
cnf(17,plain,
( ~ object(X0)
| ~ object(X1)
| ~ property(X2)
| ~ is_the(X0,X2)
| X0 != X1
| sK4(X2,X0,X1) = X1 ),
inference(cnf,[status(esa)],[description_axiom_identity_instance]) ).
cnf(l17,plain,
( ~ object(god)
| ~ object(god)
| ~ property(none_greater)
| ~ is_the(god,none_greater)
| god != god
| sK4(none_greater,god,god) = god ),
inference(instantiation,[status(thm)],[17]) ).
fof(definition_god,plain,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
cnf(34,plain,
is_the(god,none_greater),
inference(cnf,[status(esa)],[definition_god]) ).
cnf(l52,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
fof(exemplifier_is_object_and_exemplified_is_property,plain,
! [X,F] :
( exemplifies_property(F,X)
=> ( property(F)
& object(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
cnf(1,plain,
( ~ exemplifies_property(X0,X1)
| property(X0) ),
inference(cnf,[status(esa)],[exemplifier_is_object_and_exemplified_is_property]) ).
cnf(l53,plain,
( ~ exemplifies_property(none_greater,sK8)
| property(none_greater) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[4]) ).
fof(premise_1,plain,
? [X] :
( object(X)
& exemplifies_property(none_greater,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
cnf(30,plain,
exemplifies_property(none_greater,sK8),
inference(cnf,[status(esa)],[premise_1]) ).
cnf(l54,plain,
exemplifies_property(none_greater,sK8),
inference(instantiation,[status(thm)],[30]) ).
cnf(l160,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(15,plain,
( ~ object(X0)
| ~ object(X1)
| ~ property(X2)
| ~ is_the(X0,X2)
| X0 != X1
| exemplifies_property(X2,sK4(X2,X0,X1)) ),
inference(cnf,[status(esa)],[description_axiom_identity_instance]) ).
cnf(l36,plain,
( ~ object(god)
| ~ object(god)
| ~ property(none_greater)
| ~ is_the(god,none_greater)
| god != god
| exemplifies_property(none_greater,sK4(none_greater,god,god)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l7,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(3,plain,
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf,[status(esa)],[description_is_property_and_described_is_object]) ).
cnf(l700,plain,
( ~ is_the(god,none_greater)
| property(none_greater) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l751,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l37,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l6,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l711,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l2063,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(33,plain,
( ~ object(X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(conceivable,sK9(X0))
| exemplifies_property(existence,X0) ),
inference(cnf,[status(esa)],[premise_2]) ).
cnf(l694,plain,
( ~ object(god)
| ~ is_the(god,none_greater)
| exemplifies_property(conceivable,sK9(god))
| exemplifies_property(existence,god) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(2,plain,
( ~ exemplifies_property(X0,X1)
| object(X1) ),
inference(cnf,[status(esa)],[exemplifier_is_object_and_exemplified_is_property]) ).
cnf(l5,plain,
( ~ exemplifies_property(conceivable,sK9(god))
| object(sK9(god)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l714,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l13,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l22,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l720,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l702,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l56,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l712,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l696,plain,
( ~ object(god)
| ~ is_the(god,none_greater)
| exemplifies_property(conceivable,sK9(god))
| exemplifies_property(existence,god) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(l704,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l716,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l706,plain,
( ~ is_the(god,none_greater)
| object(god) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l707,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(l697,plain,
is_the(god,none_greater),
inference(instantiation,[status(thm)],[34]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l17,l52,l53,l47,l54,l160,l36,l7,l700,l751,l37,l6,l711,l2063,l694,l5,l714,l13,l22,l720,l702,l56,l712,l696,l704,l716,l706,l707,l697]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : PHI015+1 : TPTP v9.0.0. Released v7.2.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 15:00:49 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.30 % launching worker at depth: 10
% 0.13/0.31 % launching worker at depth: 11
% 0.13/0.39 % launching worker at depth: 12
% 9.52/1.48 % launching worker at depth: 13
% 13.61/2.06 % SZS status Theorem for theBenchmark
% 13.61/2.06 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------