%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU383+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 : n020.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 08:41:50 AM UTC 2026
% Result : Theorem 30.91s 7.78s
% Output : CNFRefutation 30.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of formulae : 69 ( 14 unt; 0 def)
% Number of atoms : 223 ( 24 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 251 ( 97 ~; 108 |; 23 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 4 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d11_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> 'bottom$uof$urelstr'(X0) = 'join$uon$urelstr'(X0,'empty$uset') ) ).
fof(d20_waybel_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( element(X1,powerset('the$ucarrier'(X0)))
=> ( 'upper$urelstr$usubset'(X1,X0)
<=> ! [X2] :
( element(X2,'the$ucarrier'(X0))
=> ! [X3] :
( element(X3,'the$ucarrier'(X0))
=> ( ( related(X0,X2,X3)
& in(X2,X1) )
=> in(X3,X1) ) ) ) ) ) ) ).
fof(dt_k1_yellow_0,axiom,
! [X0,X1] :
( 'rel$ustr'(X0)
=> element('join$uon$urelstr'(X0,X1),'the$ucarrier'(X0)) ) ).
fof(t1_subset,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ) ).
fof(t2_subset,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ) ).
fof(t2_tarski,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ) ).
fof(t44_yellow_0,axiom,
! [X0] :
( ( 'rel$ustr'(X0)
& 'lower$ubounded$urelstr'(X0)
& 'antisymmetric$urelstr'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> related(X0,'bottom$uof$urelstr'(X0),X1) ) ) ).
fof(t4_subset,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ) ).
fof(t5_subset,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ) ).
fof(t5_tex_2,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ( 'proper$uelement'(X1,powerset(X0))
<=> X1 != X0 ) ) ).
fof(t8_waybel_7,conjecture,
! [X0] :
( ( 'rel$ustr'(X0)
& 'lower$ubounded$urelstr'(X0)
& 'antisymmetric$urelstr'(X0)
& 'transitive$urelstr'(X0)
& 'reflexive$urelstr'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( ( element(X1,powerset('the$ucarrier'(X0)))
& 'upper$urelstr$usubset'(X1,X0)
& 'filtered$usubset'(X1,X0)
& ~ empty(X1) )
=> ( 'proper$uelement'(X1,powerset('the$ucarrier'(X0)))
<=> ~ in('bottom$uof$urelstr'(X0),X1) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'rel$ustr'(X0)
& 'lower$ubounded$urelstr'(X0)
& 'antisymmetric$urelstr'(X0)
& 'transitive$urelstr'(X0)
& 'reflexive$urelstr'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( ( element(X1,powerset('the$ucarrier'(X0)))
& 'upper$urelstr$usubset'(X1,X0)
& 'filtered$usubset'(X1,X0)
& ~ empty(X1) )
=> ( 'proper$uelement'(X1,powerset('the$ucarrier'(X0)))
<=> ~ in('bottom$uof$urelstr'(X0),X1) ) ) ),
inference(negate_conjecture,[status(cth)],[t8_waybel_7]) ).
cnf(c7,plain,
( 'join$uon$urelstr'(X0,'empty$uset') = 'bottom$uof$urelstr'(X0)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d11_yellow_0]) ).
cnf(c8,plain,
( in(X2,X3)
| ~ element(X2,'the$ucarrier'(X0))
| ~ element(X3,powerset('the$ucarrier'(X0)))
| ~ element(X1,'the$ucarrier'(X0))
| ~ 'upper$urelstr$usubset'(X3,X0)
| ~ in(X1,X3)
| ~ related(X0,X1,X2)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d20_waybel_0]) ).
cnf(c15,plain,
( element('join$uon$urelstr'(X0,X1),'the$ucarrier'(X0))
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_k1_yellow_0]) ).
cnf(c47,plain,
( element(X0,X1)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t1_subset]) ).
cnf(c48,plain,
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(clausification,[status(esa)],[t2_subset]) ).
cnf(c50,plain,
( X1 = X0
| in(sK50(X0,X1),X1)
| in(sK50(X0,X1),X0) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c51,plain,
( X1 = X0
| ~ in(sK50(X0,X1),X0)
| ~ in(sK50(X0,X1),X1) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c55,plain,
( 'empty$ucarrier'(X1)
| related(X1,'bottom$uof$urelstr'(X1),X0)
| ~ 'rel$ustr'(X1)
| ~ 'lower$ubounded$urelstr'(X1)
| ~ 'antisymmetric$urelstr'(X1)
| ~ element(X0,'the$ucarrier'(X1)) ),
inference(clausification,[status(esa)],[t44_yellow_0]) ).
cnf(c56,plain,
( element(X2,X1)
| ~ in(X2,X0)
| ~ element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[t4_subset]) ).
cnf(c57,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t5_subset]) ).
cnf(c58,plain,
( X1 != X0
| ~ 'proper$uelement'(X0,powerset(X1))
| ~ element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[t5_tex_2]) ).
cnf(c59,plain,
( X1 = X0
| 'proper$uelement'(X0,powerset(X1))
| ~ element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[t5_tex_2]) ).
cnf(c64,plain,
'antisymmetric$urelstr'(sK68),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c65,plain,
'rel$ustr'(sK68),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
'lower$ubounded$urelstr'(sK68),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c68,plain,
~ 'empty$ucarrier'(sK68),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c70,plain,
element(sK69,powerset('the$ucarrier'(sK68))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
'upper$urelstr$usubset'(sK69,sK68),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c72,plain,
~ empty(sK69),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c74,plain,
( ~ in('bottom$uof$urelstr'(sK68),sK69)
| 'proper$uelement'(sK69,powerset('the$ucarrier'(sK68))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c75,plain,
( ~ 'proper$uelement'(sK69,powerset('the$ucarrier'(sK68)))
| in('bottom$uof$urelstr'(sK68),sK69) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'proper$uelement'(X0,powerset(X0))
| ~ element(X0,powerset(X0)) ),
inference(equality_resolution,[status(thm)],[c58]) ).
cnf(d1,plain,
( 'proper$uelement'(sK69,powerset('the$ucarrier'(sK68)))
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[c59,c70]) ).
cnf(d2,plain,
( in('bottom$uof$urelstr'(sK68),sK69)
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[d1,c75]) ).
cnf(d3,plain,
( ~ empty('the$ucarrier'(sK68))
| ~ in(X0,sK69) ),
inference(resolution,[status(thm)],[c57,c70]) ).
cnf(d4,plain,
( ~ related(sK68,X1,X0)
| ~ 'upper$urelstr$usubset'(sK69,sK68)
| ~ element(X1,'the$ucarrier'(sK68))
| ~ element(X0,'the$ucarrier'(sK68))
| ~ 'rel$ustr'(sK68)
| ~ in(X1,sK69)
| in(X0,sK69) ),
inference(resolution,[status(thm)],[c8,c70]) ).
cnf(d5,plain,
( ~ related(sK68,X0,X1)
| ~ 'upper$urelstr$usubset'(sK69,sK68)
| ~ element(X1,'the$ucarrier'(sK68))
| ~ element(X0,'the$ucarrier'(sK68))
| in(X1,sK69)
| ~ in(X0,sK69) ),
inference(resolution,[status(thm)],[c65,d4]) ).
cnf(d6,plain,
( ~ related(sK68,X1,X0)
| ~ element(X1,'the$ucarrier'(sK68))
| ~ element(X0,'the$ucarrier'(sK68))
| ~ in(X1,sK69)
| in(X0,sK69) ),
inference(resolution,[status(thm)],[c71,d5]) ).
cnf(d7,plain,
( ~ element(X0,'the$ucarrier'(sK68))
| ~ element('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68))
| in(X0,sK69)
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| ~ 'antisymmetric$urelstr'(sK68)
| ~ 'lower$ubounded$urelstr'(sK68)
| ~ element(X0,'the$ucarrier'(sK68))
| ~ 'rel$ustr'(sK68)
| 'empty$ucarrier'(sK68) ),
inference(resolution,[status(thm)],[c55,d6]) ).
cnf(d8,plain,
( ~ 'lower$ubounded$urelstr'(sK68)
| ~ element('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68))
| ~ element(X0,'the$ucarrier'(sK68))
| ~ 'rel$ustr'(sK68)
| 'empty$ucarrier'(sK68)
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| in(X0,sK69) ),
inference(resolution,[status(thm)],[c64,d7]) ).
cnf(d9,plain,
( ~ 'lower$ubounded$urelstr'(sK68)
| ~ element('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68))
| ~ element(X0,'the$ucarrier'(sK68))
| 'empty$ucarrier'(sK68)
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| in(X0,sK69) ),
inference(resolution,[status(thm)],[c65,d8]) ).
cnf(d10,plain,
( ~ element('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68))
| ~ element(X0,'the$ucarrier'(sK68))
| 'empty$ucarrier'(sK68)
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| in(X0,sK69) ),
inference(resolution,[status(thm)],[c66,d9]) ).
cnf(d11,plain,
( ~ element('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68))
| ~ element(X0,'the$ucarrier'(sK68))
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| in(X0,sK69) ),
inference(resolution,[status(thm)],[c68,d10]) ).
cnf(d12,plain,
'join$uon$urelstr'(sK68,'empty$uset') = 'bottom$uof$urelstr'(sK68),
inference(resolution,[status(thm)],[c7,c65]) ).
cnf(d13,plain,
( ~ 'rel$ustr'(sK68)
| element('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68)) ),
inference(superposition,[status(thm)],[d12,c15]) ).
cnf(d14,plain,
element('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68)),
inference(resolution,[status(thm)],[c65,d13]) ).
cnf(d15,plain,
( ~ element(X0,'the$ucarrier'(sK68))
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| in(X0,sK69) ),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( element(sK50(X1,X0),X0)
| in(sK50(X1,X0),X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[c50,c47]) ).
cnf(d17,plain,
( ~ in('bottom$uof$urelstr'(sK68),sK69)
| in(sK50(X0,'the$ucarrier'(sK68)),sK69)
| in(sK50(X0,'the$ucarrier'(sK68)),X0)
| 'the$ucarrier'(sK68) = X0 ),
inference(resolution,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
( in(sK50(sK69,'the$ucarrier'(sK68)),sK69)
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| 'the$ucarrier'(sK68) = sK69 ),
inference(factoring,[status(thm)],[d17]) ).
cnf(d19,plain,
( element(X0,'the$ucarrier'(sK68))
| ~ in(X0,sK69) ),
inference(resolution,[status(thm)],[c56,c70]) ).
cnf(d20,plain,
( empty('the$ucarrier'(sK68))
| in(X0,'the$ucarrier'(sK68))
| ~ in(X0,sK69) ),
inference(resolution,[status(thm)],[d19,c48]) ).
cnf(d21,plain,
( ~ in(sK50(sK69,'the$ucarrier'(sK68)),'the$ucarrier'(sK68))
| 'the$ucarrier'(sK68) = sK69
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[d18,c51]) ).
cnf(d22,plain,
( empty('the$ucarrier'(sK68))
| ~ in(sK50(sK69,'the$ucarrier'(sK68)),sK69)
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[d21,d20]) ).
cnf(d23,plain,
( ~ in('bottom$uof$urelstr'(sK68),sK69)
| 'the$ucarrier'(sK68) = sK69
| empty('the$ucarrier'(sK68))
| ~ in('bottom$uof$urelstr'(sK68),sK69)
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[d22,d18]) ).
cnf(d24,plain,
( 'the$ucarrier'(sK68) = sK69
| empty('the$ucarrier'(sK68))
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[d23,d2]) ).
cnf(d25,plain,
( ~ in(X0,sK69)
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[d24,d3]) ).
cnf(d26,plain,
( 'the$ucarrier'(sK68) = sK69
| 'the$ucarrier'(sK68) = sK69 ),
inference(resolution,[status(thm)],[d25,d2]) ).
cnf(d27,plain,
( 'proper$uelement'(sK69,powerset(sK69))
| ~ in('bottom$uof$urelstr'(sK68),sK69) ),
inference(demodulation,[status(thm)],[c74,d26]) ).
cnf(d28,plain,
( empty('the$ucarrier'(sK68))
| in('bottom$uof$urelstr'(sK68),'the$ucarrier'(sK68)) ),
inference(resolution,[status(thm)],[c48,d14]) ).
cnf(d29,plain,
( empty('the$ucarrier'(sK68))
| in('bottom$uof$urelstr'(sK68),sK69) ),
inference(demodulation,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
( empty(sK69)
| in('bottom$uof$urelstr'(sK68),sK69) ),
inference(demodulation,[status(thm)],[d29,d26]) ).
cnf(d31,plain,
in('bottom$uof$urelstr'(sK68),sK69),
inference(resolution,[status(thm)],[c72,d30]) ).
cnf(d32,plain,
'proper$uelement'(sK69,powerset(sK69)),
inference(resolution,[status(thm)],[d31,d27]) ).
cnf(d33,plain,
~ element(sK69,powerset(sK69)),
inference(resolution,[status(thm)],[d32,d0]) ).
cnf(d34,plain,
element(sK69,powerset(sK69)),
inference(demodulation,[status(thm)],[c70,d26]) ).
cnf(d35,plain,
$false,
inference(resolution,[status(thm)],[d34,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU383+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n020.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 09:24:05 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.91/7.78 % SZS status Theorem for theBenchmark.p
% 30.91/7.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------