%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET056+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:31:18 PM UTC 2025
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% Number of atoms : 45 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 18 ~; 18 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(equality1,plain,
! [X,Y] :
( X = Y
| ? [U] :
( member(U,X)
& ~ member(U,Y) )
| ? [W] :
( member(W,Y)
& ~ member(W,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1) ).
fof(equality1_negated,plain,
~ ! [X,Y] :
( X = Y
| ? [U] :
( member(U,X)
& ~ member(U,Y) )
| ? [W] :
( member(W,Y)
& ~ member(W,X) ) ),
inference(negate_conjecture,[status(cth)],[equality1]) ).
cnf(89,plain,
sK10 != sK11,
inference(cnf,[status(esa)],[equality1_negated]) ).
cnf(l0,plain,
sK10 != sK11,
inference(instantiation,[status(thm)],[89]) ).
fof(extensionality,plain,
! [X,Y] :
( X = Y
<=> ( subclass(X,Y)
& subclass(Y,X) ) ),
file('Axioms/SET005+0.ax',extensionality) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[extensionality]) ).
cnf(l1,plain,
( ~ subclass(sK10,sK11)
| ~ subclass(sK11,sK10)
| sK10 = sK11 ),
inference(instantiation,[status(thm)],[6]) ).
fof(subclass_defn,plain,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('Axioms/SET005+0.ax',subclass_defn) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
cnf(l7,plain,
( ~ member(sK1(sK11,sK10),sK10)
| subclass(sK11,sK10) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ member(sK1(sK10,sK11),sK11)
| subclass(sK10,sK11) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(91,plain,
( ~ member(X0,sK11)
| member(X0,sK10) ),
inference(cnf,[status(esa)],[equality1_negated]) ).
cnf(l8,plain,
( ~ member(sK1(sK11,sK10),sK11)
| member(sK1(sK11,sK10),sK10) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
cnf(l9,plain,
( subclass(sK11,sK10)
| member(sK1(sK11,sK10),sK11) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(90,plain,
( ~ member(X0,sK10)
| member(X0,sK11) ),
inference(cnf,[status(esa)],[equality1_negated]) ).
cnf(l3,plain,
( ~ member(sK1(sK10,sK11),sK10)
| member(sK1(sK10,sK11),sK11) ),
inference(instantiation,[status(thm)],[90]) ).
cnf(l6,plain,
( subclass(sK10,sK11)
| member(sK1(sK10,sK11),sK10) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l2,l8,l9,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET056+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n020.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 19:36:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 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: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.38 % launching worker at depth: 10
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------