%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET027+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:31:11 PM UTC 2025
% Result : Theorem 3.68s 0.82s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 10 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(transitivity,plain,
! [X,Y,Z] :
( ( subclass(X,Y)
& subclass(Y,Z) )
=> subclass(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(transitivity_negated,plain,
~ ! [X,Y,Z] :
( ( subclass(X,Y)
& subclass(Y,Z) )
=> subclass(X,Z) ),
inference(negate_conjecture,[status(cth)],[transitivity]) ).
cnf(89,plain,
subclass(sK10,sK11),
inference(cnf,[status(esa)],[transitivity_negated]) ).
cnf(l0,plain,
subclass(sK10,sK11),
inference(instantiation,[status(thm)],[89]) ).
fof(subclass_defn,plain,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('Axioms/SET005+0.ax',subclass_defn) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
cnf(l1,plain,
( ~ subclass(sK10,sK11)
| ~ member(sK1(sK10,sK12),sK10)
| member(sK1(sK10,sK12),sK11) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
cnf(l30,plain,
( subclass(sK10,sK12)
| member(sK1(sK10,sK12),sK10) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(91,plain,
~ subclass(sK10,sK12),
inference(cnf,[status(esa)],[transitivity_negated]) ).
cnf(l31,plain,
~ subclass(sK10,sK12),
inference(instantiation,[status(thm)],[91]) ).
cnf(l3,plain,
( ~ subclass(sK11,sK12)
| ~ member(sK1(sK10,sK12),sK11)
| member(sK1(sK10,sK12),sK12) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(90,plain,
subclass(sK11,sK12),
inference(cnf,[status(esa)],[transitivity_negated]) ).
cnf(l63,plain,
subclass(sK11,sK12),
inference(instantiation,[status(thm)],[90]) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
cnf(l5,plain,
( ~ member(sK1(sK10,sK12),sK12)
| subclass(sK10,sK12) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l9,plain,
~ subclass(sK10,sK12),
inference(instantiation,[status(thm)],[91]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l30,l31,l3,l63,l5,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET027+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 19:23:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 5
% 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: 3
% 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: 1
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.51 % launching worker at depth: 11
% 3.68/0.82 % SZS status Theorem for theBenchmark
% 3.68/0.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------