%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU319+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 03:45:10 PM UTC 2025
% Result : Theorem 2.87s 0.70s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 69 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 29 ~; 28 |; 0 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t29_tops_1,plain,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( closed_subset(B,A)
<=> open_subset(subset_complement(the_carrier(A),B),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
fof(t29_tops_1_negated,plain,
~ ! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( closed_subset(B,A)
<=> open_subset(subset_complement(the_carrier(A),B),A) ) ) ),
inference(negate_conjecture,[status(cth)],[t29_tops_1]) ).
cnf(13,plain,
top_str(sK4),
inference(cnf,[status(esa)],[t29_tops_1_negated]) ).
cnf(l0,plain,
top_str(sK4),
inference(instantiation,[status(thm)],[13]) ).
fof(d6_pre_topc,plain,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( closed_subset(B,A)
<=> open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_pre_topc) ).
cnf(0,plain,
( ~ closed_subset(X0,X1)
| ~ top_str(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X0),X1) ),
inference(cnf,[status(esa)],[d6_pre_topc]) ).
cnf(l1,plain,
( ~ closed_subset(sK5,sK4)
| ~ top_str(sK4)
| ~ element(sK5,powerset(the_carrier(sK4)))
| open_subset(subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5),sK4) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(cnf,[status(esa)],[t29_tops_1_negated]) ).
cnf(l7,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[14]) ).
cnf(16,plain,
( ~ closed_subset(sK5,sK4)
| ~ open_subset(subset_complement(the_carrier(sK4),sK5),sK4) ),
inference(cnf,[status(esa)],[t29_tops_1_negated]) ).
cnf(l5,plain,
( ~ closed_subset(sK5,sK4)
| ~ open_subset(subset_complement(the_carrier(sK4),sK5),sK4) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(1,plain,
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0)
| closed_subset(X1,X0) ),
inference(cnf,[status(esa)],[d6_pre_topc]) ).
cnf(l97,plain,
( ~ top_str(sK4)
| ~ element(sK5,powerset(the_carrier(sK4)))
| ~ open_subset(subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5),sK4)
| closed_subset(sK5,sK4) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
( ~ top_str(sK4)
| ~ element(sK5,powerset(the_carrier(sK4)))
| ~ open_subset(subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5),sK4)
| closed_subset(sK5,sK4) ),
inference(instantiation,[status(thm)],[1]) ).
fof(t17_pre_topc,plain,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(12,plain,
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),X1) = subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) ),
inference(cnf,[status(esa)],[t17_pre_topc]) ).
cnf(l187,plain,
( ~ one_sorted_str(sK4)
| ~ element(sK5,powerset(the_carrier(sK4)))
| subset_complement(the_carrier(sK4),sK5) = subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5) ),
inference(instantiation,[status(thm)],[12]) ).
fof(dt_l1_pre_topc,plain,
! [A] :
( top_str(A)
=> one_sorted_str(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
cnf(5,plain,
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).
cnf(l188,plain,
( ~ top_str(sK4)
| one_sorted_str(sK4) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l196,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[14]) ).
cnf(l11,plain,
( ~ one_sorted_str(sK4)
| ~ element(sK5,powerset(the_carrier(sK4)))
| subset_complement(the_carrier(sK4),sK5) = subset_difference(the_carrier(sK4),cast_as_carrier_subset(sK4),sK5) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l99,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[14]) ).
cnf(l17,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[14]) ).
cnf(l40,plain,
( ~ top_str(sK4)
| one_sorted_str(sK4) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(15,plain,
( closed_subset(sK5,sK4)
| open_subset(subset_complement(the_carrier(sK4),sK5),sK4) ),
inference(cnf,[status(esa)],[t29_tops_1_negated]) ).
cnf(l185,plain,
( closed_subset(sK5,sK4)
| open_subset(subset_complement(the_carrier(sK4),sK5),sK4) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l12,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l5,l97,l8,l187,l188,l196,l11,l99,l17,l40,l185,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU319+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.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 : Tue Jul 22 00:48:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 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: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.20/0.38 % launching worker at depth: 11
% 1.78/0.57 % launching worker at depth: 12
% 2.87/0.70 % SZS status Theorem for theBenchmark
% 2.87/0.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------