%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU361+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 : n026.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 08:41:46 AM UTC 2026
% Result : Theorem 13.51s 2.61s
% Output : CNFRefutation 13.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 123 ( 9 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 153 ( 65 ~; 54 |; 17 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d11_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> 'bottom$uof$urelstr'(X0) = 'join$uon$urelstr'(X0,'empty$uset') ) ).
fof(dt_k3_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> element('bottom$uof$urelstr'(X0),'the$ucarrier'(X0)) ) ).
fof(t30_yellow_0,axiom,
! [X0] :
( ( 'rel$ustr'(X0)
& 'antisymmetric$urelstr'(X0) )
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,'the$ucarrier'(X0))
=> ( 'relstr$uset$usmaller'(X0,X2,X3)
=> related(X0,X1,X3) ) )
& 'relstr$uset$usmaller'(X0,X2,X1) )
=> ( 'ex$usup$uof$urelstr$uset'(X0,X2)
& X1 = 'join$uon$urelstr'(X0,X2) ) )
& ( ( 'ex$usup$uof$urelstr$uset'(X0,X2)
& X1 = 'join$uon$urelstr'(X0,X2) )
=> ( ! [X3] :
( element(X3,'the$ucarrier'(X0))
=> ( 'relstr$uset$usmaller'(X0,X2,X3)
=> related(X0,X1,X3) ) )
& 'relstr$uset$usmaller'(X0,X2,X1) ) ) ) ) ) ).
fof(t42_yellow_0,axiom,
! [X0] :
( ( 'rel$ustr'(X0)
& 'lower$ubounded$urelstr'(X0)
& 'antisymmetric$urelstr'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ( 'ex$uinf$uof$urelstr$uset'(X0,'the$ucarrier'(X0))
& 'ex$usup$uof$urelstr$uset'(X0,'empty$uset') ) ) ).
fof(t6_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> ( 'relstr$uelement$usmaller'(X0,'empty$uset',X1)
& 'relstr$uset$usmaller'(X0,'empty$uset',X1) ) ) ) ).
fof(t44_yellow_0,conjecture,
! [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(negated_conjecture,negated_conjecture,
~ ! [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) ) ),
inference(negate_conjecture,[status(cth)],[t44_yellow_0]) ).
cnf(c2,plain,
( 'bottom$uof$urelstr'(X0) = 'join$uon$urelstr'(X0,'empty$uset')
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d11_yellow_0]) ).
cnf(c4,plain,
( element('bottom$uof$urelstr'(X0),'the$ucarrier'(X0))
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_k3_yellow_0]) ).
cnf(c20,plain,
( ~ 'antisymmetric$urelstr'(X0)
| ~ 'ex$usup$uof$urelstr$uset'(X0,X1)
| ~ 'rel$ustr'(X0)
| related(X0,X3,X2)
| X3 != 'join$uon$urelstr'(X0,X1)
| ~ element(X2,'the$ucarrier'(X0))
| ~ element(X3,'the$ucarrier'(X0))
| ~ 'relstr$uset$usmaller'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t30_yellow_0]) ).
cnf(c26,plain,
( ~ 'rel$ustr'(X0)
| ~ 'lower$ubounded$urelstr'(X0)
| 'ex$usup$uof$urelstr$uset'(X0,'empty$uset')
| 'empty$ucarrier'(X0)
| ~ 'antisymmetric$urelstr'(X0) ),
inference(clausification,[status(esa)],[t42_yellow_0]) ).
cnf(c29,plain,
( 'relstr$uset$usmaller'(X0,'empty$uset',X1)
| ~ element(X1,'the$ucarrier'(X0))
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[t6_yellow_0]) ).
cnf(c33,plain,
~ 'empty$ucarrier'(sK35),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c34,plain,
'antisymmetric$urelstr'(sK35),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c35,plain,
'lower$ubounded$urelstr'(sK35),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c36,plain,
'rel$ustr'(sK35),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c37,plain,
element(sK36,'the$ucarrier'(sK35)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c38,plain,
~ related(sK35,'bottom$uof$urelstr'(sK35),sK36),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'bottom$uof$urelstr'(sK35) = 'join$uon$urelstr'(sK35,'empty$uset'),
inference(resolution,[status(thm)],[c36,c2]) ).
cnf(d1,plain,
( related(sK35,X0,X1)
| ~ 'relstr$uset$usmaller'(sK35,'empty$uset',X1)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset')
| ~ 'antisymmetric$urelstr'(sK35)
| ~ element(X0,'the$ucarrier'(sK35))
| ~ element(X1,'the$ucarrier'(sK35))
| ~ 'rel$ustr'(sK35)
| X0 != 'bottom$uof$urelstr'(sK35) ),
inference(superposition,[status(thm)],[d0,c20]) ).
cnf(d2,plain,
( related(sK35,X0,X1)
| ~ 'relstr$uset$usmaller'(sK35,'empty$uset',X1)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset')
| ~ element(X0,'the$ucarrier'(sK35))
| ~ element(X1,'the$ucarrier'(sK35))
| ~ 'rel$ustr'(sK35)
| X0 != 'bottom$uof$urelstr'(sK35) ),
inference(resolution,[status(thm)],[c34,d1]) ).
cnf(d3,plain,
( related(sK35,X0,X1)
| ~ 'relstr$uset$usmaller'(sK35,'empty$uset',X1)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset')
| ~ element(X0,'the$ucarrier'(sK35))
| ~ element(X1,'the$ucarrier'(sK35))
| X0 != 'bottom$uof$urelstr'(sK35) ),
inference(resolution,[status(thm)],[c36,d2]) ).
cnf(d4,plain,
( related(sK35,'bottom$uof$urelstr'(sK35),X0)
| ~ 'relstr$uset$usmaller'(sK35,'empty$uset',X0)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset')
| ~ element('bottom$uof$urelstr'(sK35),'the$ucarrier'(sK35))
| ~ element(X0,'the$ucarrier'(sK35)) ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( ~ 'rel$ustr'(sK35)
| related(sK35,'bottom$uof$urelstr'(sK35),X0)
| ~ 'relstr$uset$usmaller'(sK35,'empty$uset',X0)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset')
| ~ element(X0,'the$ucarrier'(sK35)) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( related(sK35,'bottom$uof$urelstr'(sK35),X0)
| ~ 'relstr$uset$usmaller'(sK35,'empty$uset',X0)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset')
| ~ element(X0,'the$ucarrier'(sK35)) ),
inference(resolution,[status(thm)],[c36,d5]) ).
cnf(d7,plain,
( ~ 'relstr$uset$usmaller'(sK35,'empty$uset',sK36)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset')
| ~ element(sK36,'the$ucarrier'(sK35)) ),
inference(resolution,[status(thm)],[d6,c38]) ).
cnf(d8,plain,
( ~ 'relstr$uset$usmaller'(sK35,'empty$uset',sK36)
| ~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset') ),
inference(resolution,[status(thm)],[c37,d7]) ).
cnf(d9,plain,
( 'relstr$uset$usmaller'(sK35,'empty$uset',sK36)
| ~ 'rel$ustr'(sK35) ),
inference(resolution,[status(thm)],[c29,c37]) ).
cnf(d10,plain,
'relstr$uset$usmaller'(sK35,'empty$uset',sK36),
inference(resolution,[status(thm)],[c36,d9]) ).
cnf(d11,plain,
~ 'ex$usup$uof$urelstr$uset'(sK35,'empty$uset'),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ 'lower$ubounded$urelstr'(sK35)
| ~ 'antisymmetric$urelstr'(sK35)
| 'empty$ucarrier'(sK35)
| ~ 'rel$ustr'(sK35) ),
inference(resolution,[status(thm)],[d11,c26]) ).
cnf(d13,plain,
( ~ 'lower$ubounded$urelstr'(sK35)
| ~ 'antisymmetric$urelstr'(sK35)
| ~ 'rel$ustr'(sK35) ),
inference(resolution,[status(thm)],[c33,d12]) ).
cnf(d14,plain,
( ~ 'lower$ubounded$urelstr'(sK35)
| ~ 'rel$ustr'(sK35) ),
inference(resolution,[status(thm)],[c34,d13]) ).
cnf(d15,plain,
~ 'rel$ustr'(sK35),
inference(resolution,[status(thm)],[c35,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c36,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU361+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 09:22:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.51/2.61 % SZS status Theorem for theBenchmark.p
% 13.51/2.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------