%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PHI011+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 : n023.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 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 40 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 13 ~; 10 |; 5 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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) ).
fof(description_theorem_2_negated,plain,
~ ! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
inference(negate_conjecture,[status(cth)],[description_theorem_2]) ).
cnf(6,plain,
property(sK1),
inference(cnf,[status(esa)],[description_theorem_2_negated]) ).
cnf(l0,plain,
property(sK1),
inference(instantiation,[status(thm)],[6]) ).
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/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
cnf(5,plain,
( ~ object(X0)
| ~ object(X1)
| ~ property(X2)
| ~ is_the(X0,X2)
| X0 != X1
| exemplifies_property(X2,X1) ),
inference(cnf,[status(esa)],[lemma_1]) ).
cnf(l1,plain,
( ~ object(sK3)
| ~ object(sK3)
| ~ property(sK1)
| ~ is_the(sK3,sK1)
| sK3 != sK3
| exemplifies_property(sK1,sK3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
object(sK3),
inference(cnf,[status(esa)],[description_theorem_2_negated]) ).
cnf(l2,plain,
object(sK3),
inference(instantiation,[status(thm)],[9]) ).
cnf(l3,plain,
object(sK3),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
~ exemplifies_property(sK1,sK3),
inference(cnf,[status(esa)],[description_theorem_2_negated]) ).
cnf(l4,plain,
~ exemplifies_property(sK1,sK3),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
is_the(sK3,sK1),
inference(cnf,[status(esa)],[description_theorem_2_negated]) ).
cnf(l5,plain,
is_the(sK3,sK1),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : PHI011+1 : TPTP v9.0.0. Released v7.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 15:00:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------