%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PHI010+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 : n029.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 0.06s 0.28s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 60 ( 13 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 63 ( 23 ~; 20 |; 12 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_1,plain,
! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y) )
=> ( ( is_the(X,F)
& X = Y )
=> exemplifies_property(F,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(lemma_1_negated,plain,
~ ! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y) )
=> ( ( is_the(X,F)
& X = Y )
=> exemplifies_property(F,Y) ) ),
inference(negate_conjecture,[status(cth)],[lemma_1]) ).
cnf(14,plain,
object(sK4),
inference(cnf,[status(esa)],[lemma_1_negated]) ).
cnf(l0,plain,
object(sK4),
inference(instantiation,[status(thm)],[14]) ).
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(8,plain,
( ~ object(X0)
| ~ object(X1)
| ~ property(X2)
| ~ is_the(X0,X2)
| X0 != X1
| sK1(X2,X0,X1) = X1 ),
inference(cnf,[status(esa)],[description_axiom_identity_instance]) ).
cnf(l1,plain,
( ~ object(sK4)
| ~ object(sK4)
| ~ property(sK5)
| ~ is_the(sK4,sK5)
| sK4 != sK4
| sK1(sK5,sK4,sK4) = sK4 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(15,plain,
property(sK5),
inference(cnf,[status(esa)],[lemma_1_negated]) ).
cnf(l2,plain,
property(sK5),
inference(instantiation,[status(thm)],[15]) ).
cnf(17,plain,
is_the(sK4,sK5),
inference(cnf,[status(esa)],[lemma_1_negated]) ).
cnf(l5,plain,
is_the(sK4,sK5),
inference(instantiation,[status(thm)],[17]) ).
cnf(6,plain,
( ~ object(X0)
| ~ object(X1)
| ~ property(X2)
| ~ is_the(X0,X2)
| X0 != X1
| exemplifies_property(X2,sK1(X2,X0,X1)) ),
inference(cnf,[status(esa)],[description_axiom_identity_instance]) ).
cnf(l9,plain,
( ~ object(sK4)
| ~ object(sK4)
| ~ property(sK5)
| ~ is_the(sK4,sK5)
| sK4 != sK4
| exemplifies_property(sK5,sK1(sK5,sK4,sK4)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l16,plain,
property(sK5),
inference(instantiation,[status(thm)],[15]) ).
cnf(l12,plain,
is_the(sK4,sK5),
inference(instantiation,[status(thm)],[17]) ).
cnf(18,plain,
sK4 = sK6,
inference(cnf,[status(esa)],[lemma_1_negated]) ).
cnf(l45,plain,
sK4 = sK6,
inference(instantiation,[status(thm)],[18]) ).
cnf(19,plain,
~ exemplifies_property(sK5,sK6),
inference(cnf,[status(esa)],[lemma_1_negated]) ).
cnf(l61,plain,
~ exemplifies_property(sK5,sK6),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l9,l16,l12,l45,l61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : PHI010+1 : TPTP v9.0.0. Released v7.2.0.
% 0.04/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n029.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Jul 21 15:00:48 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % launching worker at depth: 10
% 0.06/0.28 % SZS status Theorem for theBenchmark
% 0.06/0.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------