%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU322+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:41:40 AM UTC 2026
% Result : Theorem 45.95s 33.26s
% Output : CNFRefutation 45.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 91 ( 13 unt; 0 def)
% Number of atoms : 252 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 288 ( 127 ~; 133 |; 6 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 3 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_struct_0,axiom,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ( 'empty$ucarrier'(X0)
<=> empty('the$ucarrier'(X0)) ) ) ).
fof(d1_tops_1,axiom,
! [X0] :
( 'top$ustr'(X0)
=> ! [X1] :
( element(X1,powerset('the$ucarrier'(X0)))
=> interior(X0,X1) = 'subset$ucomplement'('the$ucarrier'(X0),'topstr$uclosure'(X0,'subset$ucomplement'('the$ucarrier'(X0),X1))) ) ) ).
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(dt_k3_subset_1,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element('subset$ucomplement'(X0,X1),powerset(X0)) ) ).
fof(dt_k6_pre_topc,axiom,
! [X0,X1] :
( ( element(X1,powerset('the$ucarrier'(X0)))
& 'top$ustr'(X0) )
=> element('topstr$uclosure'(X0,X1),powerset('the$ucarrier'(X0))) ) ).
fof(dt_l1_pre_topc,axiom,
! [X0] :
( 'top$ustr'(X0)
=> 'one$usorted$ustr'(X0) ) ).
fof(involutiveness_k3_subset_1,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> 'subset$ucomplement'(X0,'subset$ucomplement'(X0,X1)) = X1 ) ).
fof(l40_tops_1,axiom,
! [X0] :
( ( 'one$usorted$ustr'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( element(X1,powerset('the$ucarrier'(X0)))
=> ! [X2] :
( element(X2,'the$ucarrier'(X0))
=> ( in(X2,'subset$ucomplement'('the$ucarrier'(X0),X1))
<=> ~ in(X2,X1) ) ) ) ) ).
fof(t48_pre_topc,axiom,
! [X0] :
( 'top$ustr'(X0)
=> ! [X1] :
( element(X1,powerset('the$ucarrier'(X0)))
=> subset(X1,'topstr$uclosure'(X0,X1)) ) ) ).
fof(t4_subset,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ) ).
fof(t54_subset_1,axiom,
! [X0,X1,X2] :
( element(X2,powerset(X0))
=> ~ ( in(X1,X2)
& in(X1,'subset$ucomplement'(X0,X2)) ) ) ).
fof(t5_subset,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ) ).
fof(t44_tops_1,conjecture,
! [X0] :
( 'top$ustr'(X0)
=> ! [X1] :
( element(X1,powerset('the$ucarrier'(X0)))
=> subset(interior(X0,X1),X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'top$ustr'(X0)
=> ! [X1] :
( element(X1,powerset('the$ucarrier'(X0)))
=> subset(interior(X0,X1),X1) ) ),
inference(negate_conjecture,[status(cth)],[t44_tops_1]) ).
cnf(c43,plain,
( empty('the$ucarrier'(X0))
| ~ 'empty$ucarrier'(X0)
| ~ 'one$usorted$ustr'(X0) ),
inference(clausification,[status(esa)],[d1_struct_0]) ).
cnf(c45,plain,
( interior(X0,X1) = 'subset$ucomplement'('the$ucarrier'(X0),'topstr$uclosure'(X0,'subset$ucomplement'('the$ucarrier'(X0),X1)))
| ~ element(X1,powerset('the$ucarrier'(X0)))
| ~ 'top$ustr'(X0) ),
inference(clausification,[status(esa)],[d1_tops_1]) ).
cnf(c46,plain,
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c47,plain,
( in(sK36(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c48,plain,
( ~ in(sK36(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c50,plain,
( element('subset$ucomplement'(X1,X0),powerset(X1))
| ~ element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[dt_k3_subset_1]) ).
cnf(c51,plain,
( element('topstr$uclosure'(X0,X1),powerset('the$ucarrier'(X0)))
| ~ element(X1,powerset('the$ucarrier'(X0)))
| ~ 'top$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_k6_pre_topc]) ).
cnf(c52,plain,
( 'one$usorted$ustr'(X0)
| ~ 'top$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_l1_pre_topc]) ).
cnf(c63,plain,
( 'subset$ucomplement'(X1,'subset$ucomplement'(X1,X0)) = X0
| ~ element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[involutiveness_k3_subset_1]) ).
cnf(c65,plain,
( 'empty$ucarrier'(X1)
| ~ 'one$usorted$ustr'(X1)
| in(X2,'subset$ucomplement'('the$ucarrier'(X1),X0))
| in(X2,X0)
| ~ element(X2,'the$ucarrier'(X1))
| ~ element(X0,powerset('the$ucarrier'(X1))) ),
inference(clausification,[status(esa)],[l40_tops_1]) ).
cnf(c81,plain,
( subset(X1,'topstr$uclosure'(X0,X1))
| ~ element(X1,powerset('the$ucarrier'(X0)))
| ~ 'top$ustr'(X0) ),
inference(clausification,[status(esa)],[t48_pre_topc]) ).
cnf(c82,plain,
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t4_subset]) ).
cnf(c83,plain,
( ~ in(X2,X0)
| ~ in(X2,'subset$ucomplement'(X1,X0))
| ~ element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[t54_subset_1]) ).
cnf(c84,plain,
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t5_subset]) ).
cnf(c88,plain,
'top$ustr'(sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c89,plain,
element(sK83,powerset('the$ucarrier'(sK82))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
~ subset(interior(sK82,sK83),sK83),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'subset$ucomplement'('the$ucarrier'(sK82),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) = sK83,
inference(resolution,[status(thm)],[c63,c89]) ).
cnf(d1,plain,
( subset(X0,'subset$ucomplement'('the$ucarrier'(X1),X2))
| 'empty$ucarrier'(X1)
| ~ 'one$usorted$ustr'(X1)
| ~ element(sK36(X0,'subset$ucomplement'('the$ucarrier'(X1),X2)),'the$ucarrier'(X1))
| ~ element(X2,powerset('the$ucarrier'(X1)))
| in(sK36(X0,'subset$ucomplement'('the$ucarrier'(X1),X2)),X2) ),
inference(resolution,[status(thm)],[c65,c48]) ).
cnf(d2,plain,
( subset(X0,'subset$ucomplement'('the$ucarrier'(sK82),'subset$ucomplement'('the$ucarrier'(sK82),sK83)))
| 'empty$ucarrier'(sK82)
| ~ 'one$usorted$ustr'(sK82)
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(X0,'subset$ucomplement'('the$ucarrier'(sK82),'subset$ucomplement'('the$ucarrier'(sK82),sK83))),'subset$ucomplement'('the$ucarrier'(sK82),sK83))
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82)) ),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d3,plain,
( subset(X0,'subset$ucomplement'('the$ucarrier'(sK82),'subset$ucomplement'('the$ucarrier'(sK82),sK83)))
| 'empty$ucarrier'(sK82)
| ~ 'one$usorted$ustr'(sK82)
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82))
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(X0,sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( subset(X0,sK83)
| 'empty$ucarrier'(sK82)
| ~ 'one$usorted$ustr'(sK82)
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82))
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(X0,sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(demodulation,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
'one$usorted$ustr'(sK82),
inference(resolution,[status(thm)],[c52,c88]) ).
cnf(d6,plain,
( subset(X0,sK83)
| 'empty$ucarrier'(sK82)
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82))
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(X0,sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ 'top$ustr'(sK82)
| interior(sK82,sK83) = 'subset$ucomplement'('the$ucarrier'(sK82),'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83))) ),
inference(resolution,[status(thm)],[c45,c89]) ).
cnf(d8,plain,
interior(sK82,sK83) = 'subset$ucomplement'('the$ucarrier'(sK82),'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83))),
inference(resolution,[status(thm)],[c88,d7]) ).
cnf(d9,plain,
( ~ element('topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)),powerset('the$ucarrier'(sK82)))
| element(interior(sK82,sK83),powerset('the$ucarrier'(sK82))) ),
inference(superposition,[status(thm)],[d8,c50]) ).
cnf(d10,plain,
( element(interior(sK82,sK83),powerset('the$ucarrier'(sK82)))
| ~ 'top$ustr'(sK82)
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82))) ),
inference(resolution,[status(thm)],[c51,d9]) ).
cnf(d11,plain,
( ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| element(interior(sK82,sK83),powerset('the$ucarrier'(sK82))) ),
inference(resolution,[status(thm)],[c88,d10]) ).
cnf(d12,plain,
( ~ element(sK83,powerset('the$ucarrier'(sK82)))
| element(interior(sK82,sK83),powerset('the$ucarrier'(sK82))) ),
inference(resolution,[status(thm)],[d11,c50]) ).
cnf(d13,plain,
element(interior(sK82,sK83),powerset('the$ucarrier'(sK82))),
inference(resolution,[status(thm)],[c89,d12]) ).
cnf(d14,plain,
( ~ empty('the$ucarrier'(sK82))
| ~ in(X0,interior(sK82,sK83)) ),
inference(resolution,[status(thm)],[c84,d13]) ).
cnf(d15,plain,
( subset(interior(sK82,sK83),X0)
| ~ empty('the$ucarrier'(sK82)) ),
inference(resolution,[status(thm)],[d14,c47]) ).
cnf(d16,plain,
~ empty('the$ucarrier'(sK82)),
inference(resolution,[status(thm)],[d15,c90]) ).
cnf(d17,plain,
( ~ 'empty$ucarrier'(sK82)
| ~ 'one$usorted$ustr'(sK82) ),
inference(resolution,[status(thm)],[d16,c43]) ).
cnf(d18,plain,
~ 'empty$ucarrier'(sK82),
inference(resolution,[status(thm)],[d5,d17]) ).
cnf(d19,plain,
( subset(X0,sK83)
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82))
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(X0,sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(resolution,[status(thm)],[d18,d6]) ).
cnf(d20,plain,
( ~ element(sK83,powerset('the$ucarrier'(sK82)))
| subset(X0,sK83)
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82))
| in(sK36(X0,sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(resolution,[status(thm)],[d19,c50]) ).
cnf(d21,plain,
( subset(X0,sK83)
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82))
| in(sK36(X0,sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(resolution,[status(thm)],[c89,d20]) ).
cnf(d22,plain,
( ~ 'top$ustr'(X0)
| ~ element(X1,powerset('the$ucarrier'(X0)))
| 'subset$ucomplement'('the$ucarrier'(X0),'subset$ucomplement'('the$ucarrier'(X0),'topstr$uclosure'(X0,X1))) = 'topstr$uclosure'(X0,X1) ),
inference(resolution,[status(thm)],[c63,c51]) ).
cnf(d23,plain,
( ~ element(X1,powerset('the$ucarrier'(X0)))
| ~ 'top$ustr'(X0)
| 'subset$ucomplement'('the$ucarrier'(X0),'subset$ucomplement'('the$ucarrier'(X0),'topstr$uclosure'(X0,'subset$ucomplement'('the$ucarrier'(X0),X1)))) = 'topstr$uclosure'(X0,'subset$ucomplement'('the$ucarrier'(X0),X1)) ),
inference(resolution,[status(thm)],[d22,c50]) ).
cnf(d24,plain,
( ~ 'top$ustr'(sK82)
| 'subset$ucomplement'('the$ucarrier'(sK82),'subset$ucomplement'('the$ucarrier'(sK82),'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)))) = 'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(resolution,[status(thm)],[d23,c89]) ).
cnf(d25,plain,
( ~ 'top$ustr'(sK82)
| 'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83)) = 'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(demodulation,[status(thm)],[d24,d8]) ).
cnf(d26,plain,
'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83)) = 'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)),
inference(resolution,[status(thm)],[c88,d25]) ).
cnf(d27,plain,
( ~ element('topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)),powerset('the$ucarrier'(sK82)))
| ~ in(X0,'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)))
| ~ in(X0,interior(sK82,sK83)) ),
inference(superposition,[status(thm)],[d8,c83]) ).
cnf(d28,plain,
( ~ 'top$ustr'(sK82)
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| ~ in(X0,'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)))
| ~ in(X0,interior(sK82,sK83)) ),
inference(resolution,[status(thm)],[d27,c51]) ).
cnf(d29,plain,
( ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| ~ in(X0,'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)))
| ~ in(X0,interior(sK82,sK83)) ),
inference(resolution,[status(thm)],[c88,d28]) ).
cnf(d30,plain,
( ~ element(sK83,powerset('the$ucarrier'(sK82)))
| ~ in(X0,'topstr$uclosure'(sK82,'subset$ucomplement'('the$ucarrier'(sK82),sK83)))
| ~ in(X0,interior(sK82,sK83)) ),
inference(resolution,[status(thm)],[d29,c50]) ).
cnf(d31,plain,
( ~ element(sK83,powerset('the$ucarrier'(sK82)))
| ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83)))
| ~ in(X0,interior(sK82,sK83)) ),
inference(demodulation,[status(thm)],[d30,d26]) ).
cnf(d32,plain,
( ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83)))
| ~ in(X0,interior(sK82,sK83)) ),
inference(resolution,[status(thm)],[c89,d31]) ).
cnf(d33,plain,
( ~ element(X1,powerset('the$ucarrier'(X0)))
| subset('subset$ucomplement'('the$ucarrier'(X0),X1),'topstr$uclosure'(X0,'subset$ucomplement'('the$ucarrier'(X0),X1)))
| ~ 'top$ustr'(X0) ),
inference(resolution,[status(thm)],[c81,c50]) ).
cnf(d34,plain,
( ~ in(X2,'subset$ucomplement'('the$ucarrier'(X1),X0))
| in(X2,'topstr$uclosure'(X1,'subset$ucomplement'('the$ucarrier'(X1),X0)))
| ~ 'top$ustr'(X1)
| ~ element(X0,powerset('the$ucarrier'(X1))) ),
inference(resolution,[status(thm)],[d33,c46]) ).
cnf(d35,plain,
( ~ 'top$ustr'(sK82)
| ~ element(sK83,powerset('the$ucarrier'(sK82)))
| ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),sK83))
| in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83))) ),
inference(superposition,[status(thm)],[d26,d34]) ).
cnf(d36,plain,
( ~ element(sK83,powerset('the$ucarrier'(sK82)))
| ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),sK83))
| in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83))) ),
inference(resolution,[status(thm)],[c88,d35]) ).
cnf(d37,plain,
( ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),sK83))
| in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83))) ),
inference(resolution,[status(thm)],[c89,d36]) ).
cnf(d38,plain,
( ~ in(X0,interior(sK82,sK83))
| ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(resolution,[status(thm)],[d37,d32]) ).
cnf(d39,plain,
( subset(X0,sK83)
| ~ element(sK36(X0,sK83),'the$ucarrier'(sK82))
| ~ in(sK36(X0,sK83),interior(sK82,sK83)) ),
inference(resolution,[status(thm)],[d38,d21]) ).
cnf(d40,plain,
( subset(interior(sK82,sK83),sK83)
| subset(interior(sK82,sK83),sK83)
| ~ element(sK36(interior(sK82,sK83),sK83),'the$ucarrier'(sK82)) ),
inference(resolution,[status(thm)],[d39,c47]) ).
cnf(d41,plain,
~ element(sK36(interior(sK82,sK83),sK83),'the$ucarrier'(sK82)),
inference(resolution,[status(thm)],[c90,d40]) ).
cnf(d42,plain,
( element(X0,'the$ucarrier'(sK82))
| ~ in(X0,interior(sK82,sK83)) ),
inference(resolution,[status(thm)],[c82,d13]) ).
cnf(d43,plain,
( subset(interior(sK82,sK83),X0)
| element(sK36(interior(sK82,sK83),X0),'the$ucarrier'(sK82)) ),
inference(resolution,[status(thm)],[d42,c47]) ).
cnf(d44,plain,
( subset(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),X0))
| 'empty$ucarrier'(sK82)
| ~ 'one$usorted$ustr'(sK82)
| ~ element(X0,powerset('the$ucarrier'(sK82)))
| in(sK36(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),X0)),X0)
| subset(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),X0)) ),
inference(resolution,[status(thm)],[d43,d1]) ).
cnf(d45,plain,
( subset(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),X0))
| 'empty$ucarrier'(sK82)
| ~ element(X0,powerset('the$ucarrier'(sK82)))
| in(sK36(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),X0)),X0) ),
inference(resolution,[status(thm)],[d5,d44]) ).
cnf(d46,plain,
( subset(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),X0))
| ~ element(X0,powerset('the$ucarrier'(sK82)))
| in(sK36(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),X0)),X0) ),
inference(resolution,[status(thm)],[d18,d45]) ).
cnf(d47,plain,
( subset(interior(sK82,sK83),'subset$ucomplement'('the$ucarrier'(sK82),'subset$ucomplement'('the$ucarrier'(sK82),sK83)))
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(interior(sK82,sK83),sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(superposition,[status(thm)],[d0,d46]) ).
cnf(d48,plain,
( subset(interior(sK82,sK83),sK83)
| ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(interior(sK82,sK83),sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(demodulation,[status(thm)],[d47,d0]) ).
cnf(d49,plain,
( ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| in(sK36(interior(sK82,sK83),sK83),'subset$ucomplement'('the$ucarrier'(sK82),sK83)) ),
inference(resolution,[status(thm)],[c90,d48]) ).
cnf(d50,plain,
( ~ 'top$ustr'(X1)
| ~ element(X2,powerset('the$ucarrier'(X1)))
| element(X0,'the$ucarrier'(X1))
| ~ in(X0,'topstr$uclosure'(X1,X2)) ),
inference(resolution,[status(thm)],[c82,c51]) ).
cnf(d51,plain,
( ~ element(X2,powerset('the$ucarrier'(X1)))
| ~ 'top$ustr'(X1)
| element(X0,'the$ucarrier'(X1))
| ~ in(X0,'topstr$uclosure'(X1,'subset$ucomplement'('the$ucarrier'(X1),X2))) ),
inference(resolution,[status(thm)],[d50,c50]) ).
cnf(d52,plain,
( ~ 'top$ustr'(sK82)
| element(X0,'the$ucarrier'(sK82))
| ~ element(sK83,powerset('the$ucarrier'(sK82)))
| ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83))) ),
inference(superposition,[status(thm)],[d26,d51]) ).
cnf(d53,plain,
( ~ element(sK83,powerset('the$ucarrier'(sK82)))
| element(X0,'the$ucarrier'(sK82))
| ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83))) ),
inference(resolution,[status(thm)],[c88,d52]) ).
cnf(d54,plain,
( element(X0,'the$ucarrier'(sK82))
| ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),interior(sK82,sK83))) ),
inference(resolution,[status(thm)],[c89,d53]) ).
cnf(d55,plain,
( ~ in(X0,'subset$ucomplement'('the$ucarrier'(sK82),sK83))
| element(X0,'the$ucarrier'(sK82)) ),
inference(resolution,[status(thm)],[d54,d37]) ).
cnf(d56,plain,
( ~ element('subset$ucomplement'('the$ucarrier'(sK82),sK83),powerset('the$ucarrier'(sK82)))
| element(sK36(interior(sK82,sK83),sK83),'the$ucarrier'(sK82)) ),
inference(resolution,[status(thm)],[d55,d49]) ).
cnf(d57,plain,
( ~ element(sK83,powerset('the$ucarrier'(sK82)))
| element(sK36(interior(sK82,sK83),sK83),'the$ucarrier'(sK82)) ),
inference(resolution,[status(thm)],[d56,c50]) ).
cnf(d58,plain,
element(sK36(interior(sK82,sK83),sK83),'the$ucarrier'(sK82)),
inference(resolution,[status(thm)],[c89,d57]) ).
cnf(d59,plain,
$false,
inference(resolution,[status(thm)],[d58,d41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU322+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 09:12:29 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.95/33.26 % SZS status Theorem for theBenchmark.p
% 45.95/33.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------