%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET044+1 : TPTP v9.0.0. Released v2.0.0.
% 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 03:31:16 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 1 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 15 ~; 10 |; 0 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel40,plain,
( ? [Y] :
! [X] :
( element(X,Y)
<=> element(X,X) )
=> ~ ! [X1] :
? [Y1] :
! [Z] :
( element(Z,Y1)
<=> ~ element(Z,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel40) ).
fof(pel40_negated,plain,
~ ( ? [Y] :
! [X] :
( element(X,Y)
<=> element(X,X) )
=> ~ ! [X1] :
? [Y1] :
! [Z] :
( element(Z,Y1)
<=> ~ element(Z,X1) ) ),
inference(negate_conjecture,[status(cth)],[pel40]) ).
cnf(3,plain,
( element(X0,X1)
| element(X0,sK2(X1)) ),
inference(cnf,[status(esa)],[pel40_negated]) ).
cnf(l0,plain,
( element(sK2(sK1),sK2(sK1))
| element(sK2(sK1),sK2(sK2(sK1))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( ~ element(X0,X0)
| element(X0,sK1) ),
inference(cnf,[status(esa)],[pel40_negated]) ).
cnf(l1,plain,
( ~ element(sK2(sK1),sK2(sK1))
| element(sK2(sK1),sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ element(X0,X1)
| ~ element(X0,sK2(X1)) ),
inference(cnf,[status(esa)],[pel40_negated]) ).
cnf(l3,plain,
( ~ element(sK2(sK1),sK1)
| ~ element(sK2(sK1),sK2(sK1)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ element(sK2(sK1),sK2(sK1))
| ~ element(sK2(sK1),sK2(sK2(sK1))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ element(X0,sK1)
| element(X0,X0) ),
inference(cnf,[status(esa)],[pel40_negated]) ).
cnf(l6,plain,
( ~ element(sK2(sK1),sK1)
| element(sK2(sK1),sK2(sK1)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( element(sK2(sK1),sK1)
| element(sK2(sK1),sK2(sK1)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET044+1 : TPTP v9.0.0. Released v2.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 19:34:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------