%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET045+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 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 : 12 ( 2 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel41,plain,
~ ? [Z] :
! [X] : element(X,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41) ).
fof(pel41_negated,plain,
~ ~ ? [Z] :
! [X] : element(X,Z),
inference(negate_conjecture,[status(cth)],[pel41]) ).
cnf(3,plain,
element(X0,sK2),
inference(cnf,[status(esa)],[pel41_negated]) ).
cnf(l0,plain,
element(sK1(sK2),sK2),
inference(instantiation,[status(thm)],[3]) ).
fof(pel41_1,plain,
! [Z] :
? [Y] :
! [X] :
( element(X,Y)
<=> ( element(X,Z)
& ~ element(X,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41_1) ).
cnf(2,plain,
( ~ element(X0,X1)
| element(X0,X0)
| element(X0,sK1(X1)) ),
inference(cnf,[status(esa)],[pel41_1]) ).
cnf(l1,plain,
( ~ element(sK1(sK2),sK2)
| element(sK1(sK2),sK1(sK2))
| element(sK1(sK2),sK1(sK2)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ element(X0,X0)
| ~ element(X0,sK1(X1)) ),
inference(cnf,[status(esa)],[pel41_1]) ).
cnf(l2,plain,
( ~ element(sK1(sK2),sK1(sK2))
| ~ element(sK1(sK2),sK1(sK2)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ element(sK1(sK2),sK1(sK2))
| ~ element(sK1(sK2),sK1(sK2)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET045+1 : TPTP v9.0.0. Released v2.0.0.
% 0.10/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 19:34:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------