%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU311+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 : 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 03:45:09 PM UTC 2025
% Result : Theorem 239.92s 30.53s
% Output : CNFRefutation 239.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 18 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 162 ( 71 ~; 66 |; 11 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 2 sgn 17 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s3_subset_1__e2_37_1_1__pre_topc,plain,
! [A,B] :
( ( topological_space(A)
& top_str(A)
& element(B,powerset(powerset(the_carrier(A)))) )
=> ? [C] :
( element(C,powerset(powerset(the_carrier(A))))
& ! [D] :
( element(D,powerset(the_carrier(A)))
=> ( in(D,C)
<=> in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_subset_1__e2_37_1_1__pre_topc) ).
fof(s3_subset_1__e2_37_1_1__pre_topc_negated,plain,
~ ! [A,B] :
( ( topological_space(A)
& top_str(A)
& element(B,powerset(powerset(the_carrier(A)))) )
=> ? [C] :
( element(C,powerset(powerset(the_carrier(A))))
& ! [D] :
( element(D,powerset(the_carrier(A)))
=> ( in(D,C)
<=> in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ) ),
inference(negate_conjecture,[status(cth)],[s3_subset_1__e2_37_1_1__pre_topc]) ).
cnf(0,plain,
topological_space(sK1),
inference(cnf,[status(esa)],[s3_subset_1__e2_37_1_1__pre_topc_negated]) ).
cnf(l0,plain,
topological_space(sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(s1_xboole_0__e2_37_1_1__pre_topc__1,plain,
! [A,B] :
( ( topological_space(A)
& top_str(A)
& element(B,powerset(powerset(the_carrier(A)))) )
=> ? [C] :
! [D] :
( in(D,C)
<=> ( in(D,powerset(the_carrier(A)))
& in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
cnf(77,plain,
( ~ in(X0,sK8(X1,X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X0,powerset(the_carrier(X1))) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
cnf(l1,plain,
( ~ in(sK10(sK8(sK1,sK2),powerset(the_carrier(sK1))),sK8(sK1,sK2))
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| in(sK10(sK8(sK1,sK2),powerset(the_carrier(sK1))),powerset(the_carrier(sK1))) ),
inference(instantiation,[status(thm)],[77]) ).
fof(l71_subset_1,plain,
! [A,B] :
( ! [C] :
( in(C,A)
=> in(C,B) )
=> element(A,powerset(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
cnf(87,plain,
( ~ in(sK10(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf,[status(esa)],[l71_subset_1]) ).
cnf(l628,plain,
( ~ in(sK10(sK8(sK1,sK2),powerset(the_carrier(sK1))),powerset(the_carrier(sK1)))
| element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1)))) ),
inference(instantiation,[status(thm)],[87]) ).
cnf(86,plain,
( in(sK10(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf,[status(esa)],[l71_subset_1]) ).
cnf(l284,plain,
( in(sK10(sK8(sK1,sK2),powerset(the_carrier(sK1))),sK8(sK1,sK2))
| element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1)))) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(2,plain,
element(sK2,powerset(powerset(the_carrier(sK1)))),
inference(cnf,[status(esa)],[s3_subset_1__e2_37_1_1__pre_topc_negated]) ).
cnf(l2,plain,
element(sK2,powerset(powerset(the_carrier(sK1)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
top_str(sK1),
inference(cnf,[status(esa)],[s3_subset_1__e2_37_1_1__pre_topc_negated]) ).
cnf(l637,plain,
top_str(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK1))))
| in(set_difference(cast_as_carrier_subset(sK1),sK3(X0)),sK2)
| in(sK3(X0),X0) ),
inference(cnf,[status(esa)],[s3_subset_1__e2_37_1_1__pre_topc_negated]) ).
cnf(l285,plain,
( ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1))))
| in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(X0)),sK2)
| ~ in(sK3(X0),X0)
| ~ element(X0,powerset(powerset(the_carrier(sK1)))) ),
inference(cnf,[status(esa)],[s3_subset_1__e2_37_1_1__pre_topc_negated]) ).
cnf(l756,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| ~ in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2))
| ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(79,plain,
( ~ in(X0,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X0),X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X0,sK8(X1,X2)) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
cnf(l333,plain,
( ~ in(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1)))
| ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2)) ),
inference(instantiation,[status(thm)],[79]) ).
cnf(l1162,plain,
top_str(sK1),
inference(instantiation,[status(thm)],[1]) ).
fof(d2_subset_1,plain,
! [A,B] :
( ( ~ empty(A)
=> ( element(B,A)
<=> in(B,A) ) )
& ( empty(A)
=> ( element(B,A)
<=> empty(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
cnf(80,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
cnf(l338,plain,
( ~ element(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1)))
| in(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1)))
| empty(powerset(the_carrier(sK1))) ),
inference(instantiation,[status(thm)],[80]) ).
cnf(78,plain,
( ~ in(X0,sK8(X1,X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(set_difference(cast_as_carrier_subset(X1),X0),X2) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
cnf(l757,plain,
( ~ in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2))
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[78]) ).
fof(fc1_subset_1,plain,
! [A] : ~ empty(powerset(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
cnf(76,plain,
~ empty(powerset(X0)),
inference(cnf,[status(esa)],[fc1_subset_1]) ).
cnf(l513,plain,
~ empty(powerset(the_carrier(sK1))),
inference(instantiation,[status(thm)],[76]) ).
cnf(l475,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| ~ in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2))
| ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(3,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK1))))
| element(sK3(X0),powerset(the_carrier(sK1))) ),
inference(cnf,[status(esa)],[s3_subset_1__e2_37_1_1__pre_topc_negated]) ).
cnf(l342,plain,
( ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1))))
| element(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1181,plain,
top_str(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l974,plain,
element(sK2,powerset(powerset(the_carrier(sK1)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l477,plain,
element(sK2,powerset(powerset(the_carrier(sK1)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l629,plain,
( ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1))))
| in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l631,plain,
( ~ in(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1)))
| ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2)) ),
inference(instantiation,[status(thm)],[79]) ).
cnf(l695,plain,
element(sK2,powerset(powerset(the_carrier(sK1)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l676,plain,
( ~ element(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1)))
| in(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1)))
| empty(powerset(the_carrier(sK1))) ),
inference(instantiation,[status(thm)],[80]) ).
fof(t7_boole,plain,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(91,plain,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf,[status(esa)],[t7_boole]) ).
cnf(l790,plain,
( ~ in(sK10(sK8(sK1,sK2),powerset(the_carrier(sK1))),powerset(the_carrier(sK1)))
| ~ empty(powerset(the_carrier(sK1))) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(l699,plain,
( ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1))))
| element(sK3(sK8(sK1,sK2)),powerset(the_carrier(sK1))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l630,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| ~ in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2))
| ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1670,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2)
| ~ in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2))
| ~ element(sK8(sK1,sK2),powerset(powerset(the_carrier(sK1)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l985,plain,
( ~ in(sK3(sK8(sK1,sK2)),sK8(sK1,sK2))
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| in(set_difference(cast_as_carrier_subset(sK1),sK3(sK8(sK1,sK2))),sK2) ),
inference(instantiation,[status(thm)],[78]) ).
cnf(l1384,plain,
top_str(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l986,plain,
element(sK2,powerset(powerset(the_carrier(sK1)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1034,plain,
top_str(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l628,l284,l2,l637,l285,l756,l333,l1162,l338,l757,l513,l475,l342,l1181,l974,l477,l629,l631,l695,l676,l790,l699,l630,l1670,l985,l1384,l986,l1034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU311+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % 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 : Tue Jul 22 00:44:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 0.18/0.49 % launching worker at depth: 11
% 10.93/1.76 % launching worker at depth: 12
% 202.49/25.79 % launching worker at depth: 13
% 239.92/30.53 % SZS status Theorem for theBenchmark
% 239.92/30.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------