%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU320+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 : n029.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 03:45:11 PM UTC 2025
% Result : Theorem 3.62s 0.84s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 79 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 30 ~; 28 |; 0 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t30_tops_1,plain,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( open_subset(B,A)
<=> closed_subset(subset_complement(the_carrier(A),B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_tops_1) ).
fof(t30_tops_1_negated,plain,
~ ! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ( open_subset(B,A)
<=> closed_subset(subset_complement(the_carrier(A),B),A) ) ) ),
inference(negate_conjecture,[status(cth)],[t30_tops_1]) ).
cnf(11,plain,
( closed_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| open_subset(sK5,sK4) ),
inference(cnf,[status(esa)],[t30_tops_1_negated]) ).
cnf(l0,plain,
( closed_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| open_subset(sK5,sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(12,plain,
( ~ closed_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ open_subset(sK5,sK4) ),
inference(cnf,[status(esa)],[t30_tops_1_negated]) ).
cnf(l1,plain,
( ~ closed_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ open_subset(sK5,sK4) ),
inference(instantiation,[status(thm)],[12]) ).
fof(involutiveness_k3_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> subset_complement(A,subset_complement(A,B)) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
cnf(5,plain,
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).
cnf(l4,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| subset_complement(the_carrier(sK4),subset_complement(the_carrier(sK4),sK5)) = sK5 ),
inference(instantiation,[status(thm)],[5]) ).
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/sandbox2/benchmark/theBenchmark.p',t29_tops_1) ).
cnf(8,plain,
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| closed_subset(X1,X0) ),
inference(cnf,[status(esa)],[t29_tops_1]) ).
cnf(l241,plain,
( ~ top_str(sK4)
| ~ element(subset_complement(the_carrier(sK4),sK5),powerset(the_carrier(sK4)))
| ~ open_subset(subset_complement(the_carrier(sK4),subset_complement(the_carrier(sK4),sK5)),sK4)
| closed_subset(subset_complement(the_carrier(sK4),sK5),sK4) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(cnf,[status(esa)],[t30_tops_1_negated]) ).
cnf(l61,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[10]) ).
fof(dt_k3_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> element(subset_complement(A,B),powerset(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
cnf(0,plain,
( ~ element(X0,powerset(X1))
| element(subset_complement(X1,X0),powerset(X1)) ),
inference(cnf,[status(esa)],[dt_k3_subset_1]) ).
cnf(l248,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| element(subset_complement(the_carrier(sK4),sK5),powerset(the_carrier(sK4))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ closed_subset(X1,X0)
| open_subset(subset_complement(the_carrier(X0),X1),X0) ),
inference(cnf,[status(esa)],[t29_tops_1]) ).
cnf(l82,plain,
( ~ top_str(sK4)
| ~ element(subset_complement(the_carrier(sK4),sK5),powerset(the_carrier(sK4)))
| ~ closed_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| open_subset(subset_complement(the_carrier(sK4),subset_complement(the_carrier(sK4),sK5)),sK4) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
top_str(sK4),
inference(cnf,[status(esa)],[t30_tops_1_negated]) ).
cnf(l249,plain,
top_str(sK4),
inference(instantiation,[status(thm)],[9]) ).
cnf(l245,plain,
( ~ element(sK4,powerset(sK4))
| subset_complement(sK4,subset_complement(sK4,sK4)) = sK4 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l259,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| subset_complement(the_carrier(sK4),subset_complement(the_carrier(sK4),sK5)) = sK5 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l244,plain,
( ~ closed_subset(subset_complement(the_carrier(sK4),sK5),sK4)
| ~ open_subset(sK5,sK4) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l93,plain,
( ~ element(sK5,powerset(the_carrier(sK4)))
| element(subset_complement(the_carrier(sK4),sK5),powerset(the_carrier(sK4))) ),
inference(instantiation,[status(thm)],[0]) ).
fof(t3_subset,plain,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(14,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf,[status(esa)],[t3_subset]) ).
cnf(l246,plain,
( ~ subset(sK4,sK4)
| element(sK4,powerset(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l83,plain,
top_str(sK4),
inference(instantiation,[status(thm)],[9]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(6,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l253,plain,
subset(sK4,sK4),
inference(instantiation,[status(thm)],[6]) ).
cnf(l266,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[10]) ).
cnf(l256,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[10]) ).
cnf(l94,plain,
element(sK5,powerset(the_carrier(sK4))),
inference(instantiation,[status(thm)],[10]) ).
cnf(l243,plain,
( ~ element(sK4,powerset(sK4))
| subset_complement(sK4,subset_complement(sK4,sK4)) = sK4 ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l247,plain,
( ~ subset(sK4,sK4)
| element(sK4,powerset(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l251,plain,
subset(sK4,sK4),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l241,l61,l248,l82,l249,l245,l259,l244,l93,l246,l83,l253,l266,l256,l94,l243,l247,l251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU320+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 : Tue Jul 22 00:48:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 3
% 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: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.20/0.36 % launching worker at depth: 11
% 0.20/0.45 % launching worker at depth: 12
% 3.62/0.84 % SZS status Theorem for theBenchmark
% 3.62/0.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------