%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU354+1 : TPTP v9.0.0. Released v3.3.0.
% 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 03:45:16 PM UTC 2025
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 39 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 14 |; 0 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_tex_2,plain,
! [A,B] :
( element(B,powerset(A))
=> ( proper_element(B,powerset(A))
<=> B != A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).
fof(t5_tex_2_negated,plain,
~ ! [A,B] :
( element(B,powerset(A))
=> ( proper_element(B,powerset(A))
<=> B != A ) ),
inference(negate_conjecture,[status(cth)],[t5_tex_2]) ).
cnf(73,plain,
element(sK7,powerset(sK6)),
inference(cnf,[status(esa)],[t5_tex_2_negated]) ).
cnf(l0,plain,
element(sK7,powerset(sK6)),
inference(instantiation,[status(thm)],[73]) ).
fof(d2_tex_2,plain,
! [A,B] :
( element(B,A)
=> ( proper_element(B,A)
<=> B != union(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tex_2) ).
cnf(40,plain,
( ~ element(X0,X1)
| ~ proper_element(X0,X1)
| X0 != union(X1) ),
inference(cnf,[status(esa)],[d2_tex_2]) ).
cnf(l1,plain,
( ~ element(sK7,powerset(sK6))
| ~ proper_element(sK7,powerset(sK6))
| sK7 != union(powerset(sK6)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(75,plain,
( ~ proper_element(sK7,powerset(sK6))
| sK7 = sK6 ),
inference(cnf,[status(esa)],[t5_tex_2_negated]) ).
cnf(l7,plain,
( ~ proper_element(sK7,powerset(sK6))
| sK7 = sK6 ),
inference(instantiation,[status(thm)],[75]) ).
cnf(41,plain,
( ~ element(X0,X1)
| proper_element(X0,X1)
| X0 = union(X1) ),
inference(cnf,[status(esa)],[d2_tex_2]) ).
cnf(l12,plain,
( ~ element(sK7,powerset(sK6))
| proper_element(sK7,powerset(sK6))
| sK7 = union(powerset(sK6)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l2,plain,
( ~ element(sK7,powerset(sK6))
| proper_element(sK7,powerset(sK6))
| sK7 = union(powerset(sK6)) ),
inference(instantiation,[status(thm)],[41]) ).
fof(t99_zfmisc_1,plain,
! [A] : union(powerset(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_zfmisc_1) ).
cnf(79,plain,
union(powerset(X0)) = X0,
inference(cnf,[status(esa)],[t99_zfmisc_1]) ).
cnf(l28,plain,
union(powerset(sK6)) = sK6,
inference(instantiation,[status(thm)],[79]) ).
cnf(74,plain,
( sK7 != sK6
| proper_element(sK7,powerset(sK6)) ),
inference(cnf,[status(esa)],[t5_tex_2_negated]) ).
cnf(l42,plain,
( sK7 != sK6
| proper_element(sK7,powerset(sK6)) ),
inference(instantiation,[status(thm)],[74]) ).
cnf(l44,plain,
union(powerset(sK6)) = sK6,
inference(instantiation,[status(thm)],[79]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l12,l2,l28,l42,l44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU354+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.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 : Tue Jul 22 01:04:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 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: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.19/0.41 % SZS status Theorem for theBenchmark
% 0.19/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------