%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU117+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 03:44:30 PM UTC 2025
% Result : Theorem 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 46 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 13 |; 4 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t32_finsub_1,plain,
! [A,B] :
( element(B,finite_subsets(A))
=> element(B,powerset(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_finsub_1) ).
fof(t32_finsub_1_negated,plain,
~ ! [A,B] :
( element(B,finite_subsets(A))
=> element(B,powerset(A)) ),
inference(negate_conjecture,[status(cth)],[t32_finsub_1]) ).
cnf(58,plain,
element(sK12,finite_subsets(sK11)),
inference(cnf,[status(esa)],[t32_finsub_1_negated]) ).
cnf(l0,plain,
element(sK12,finite_subsets(sK11)),
inference(instantiation,[status(thm)],[58]) ).
fof(t2_subset,plain,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(3,plain,
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t2_subset]) ).
cnf(l1,plain,
( ~ element(sK12,finite_subsets(sK11))
| empty(finite_subsets(sK11))
| in(sK12,finite_subsets(sK11)) ),
inference(instantiation,[status(thm)],[3]) ).
fof(fc2_finsub_1,plain,
! [A] :
( ~ empty(finite_subsets(A))
& cup_closed(finite_subsets(A))
& diff_closed(finite_subsets(A))
& preboolean(finite_subsets(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_finsub_1) ).
cnf(15,plain,
~ empty(finite_subsets(X0)),
inference(cnf,[status(esa)],[fc2_finsub_1]) ).
cnf(l2,plain,
~ empty(finite_subsets(sK11)),
inference(instantiation,[status(thm)],[15]) ).
fof(d5_finsub_1,plain,
! [A,B] :
( preboolean(B)
=> ( B = finite_subsets(A)
<=> ! [C] :
( in(C,B)
<=> ( subset(C,A)
& finite(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_finsub_1) ).
cnf(60,plain,
( ~ preboolean(X0)
| ~ in(X1,X0)
| X0 != finite_subsets(X2)
| subset(X1,X2) ),
inference(cnf,[status(esa)],[d5_finsub_1]) ).
cnf(l3,plain,
( ~ preboolean(finite_subsets(sK11))
| ~ in(sK12,finite_subsets(sK11))
| finite_subsets(sK11) != finite_subsets(sK11)
| subset(sK12,sK11) ),
inference(instantiation,[status(thm)],[60]) ).
fof(dt_k5_finsub_1,plain,
! [A] : preboolean(finite_subsets(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_finsub_1) ).
cnf(10,plain,
preboolean(finite_subsets(X0)),
inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).
cnf(l13,plain,
preboolean(finite_subsets(sK11)),
inference(instantiation,[status(thm)],[10]) ).
fof(t3_subset,plain,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(55,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf,[status(esa)],[t3_subset]) ).
cnf(l5,plain,
( ~ subset(sK12,sK11)
| element(sK12,powerset(sK11)) ),
inference(instantiation,[status(thm)],[55]) ).
cnf(59,plain,
~ element(sK12,powerset(sK11)),
inference(cnf,[status(esa)],[t32_finsub_1_negated]) ).
cnf(l8,plain,
~ element(sK12,powerset(sK11)),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l13,l5,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU117+1 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 23:31:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.36 % launching worker at depth: 11
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------