%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU348+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 08:41:44 AM UTC 2026
% Result : Theorem 17.40s 2.69s
% Output : CNFRefutation 17.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 152 ( 12 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 184 ( 78 ~; 79 |; 13 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_lattice3,axiom,
! [X0] :
( ( 'latt$ustr'(X0)
& lattice(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> 'cast$uto$uel$uof$uLattPOSet'(X0,X1) = X1 ) ) ).
fof(d4_lattice3,axiom,
! [X0] :
( ( 'latt$ustr'(X0)
& lattice(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( element(X1,'the$ucarrier'('poset$uof$ulattice'(X0)))
=> 'cast$uto$uel$uof$ulattice'(X0,X1) = X1 ) ) ).
fof(dt_k5_lattice3,axiom,
! [X0,X1] :
( ( element(X1,'the$ucarrier'('poset$uof$ulattice'(X0)))
& 'latt$ustr'(X0)
& lattice(X0)
& ~ 'empty$ucarrier'(X0) )
=> element('cast$uto$uel$uof$ulattice'(X0,X1),'the$ucarrier'(X0)) ) ).
fof(t28_lattice3,axiom,
! [X0,X1] :
( ( 'latt$ustr'(X1)
& lattice(X1)
& ~ 'empty$ucarrier'(X1) )
=> ! [X2] :
( element(X2,'the$ucarrier'(X1))
=> ( 'latt$uset$usmaller'(X1,X2,X0)
<=> 'relstr$uelement$usmaller'('poset$uof$ulattice'(X1),X0,'cast$uto$uel$uof$uLattPOSet'(X1,X2)) ) ) ) ).
fof(t29_lattice3,conjecture,
! [X0,X1] :
( ( 'latt$ustr'(X1)
& lattice(X1)
& ~ 'empty$ucarrier'(X1) )
=> ! [X2] :
( element(X2,'the$ucarrier'('poset$uof$ulattice'(X1)))
=> ( 'relstr$uelement$usmaller'('poset$uof$ulattice'(X1),X0,X2)
<=> 'latt$uset$usmaller'(X1,'cast$uto$uel$uof$ulattice'(X1,X2),X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( 'latt$ustr'(X1)
& lattice(X1)
& ~ 'empty$ucarrier'(X1) )
=> ! [X2] :
( element(X2,'the$ucarrier'('poset$uof$ulattice'(X1)))
=> ( 'relstr$uelement$usmaller'('poset$uof$ulattice'(X1),X0,X2)
<=> 'latt$uset$usmaller'(X1,'cast$uto$uel$uof$ulattice'(X1,X2),X0) ) ) ),
inference(negate_conjecture,[status(cth)],[t29_lattice3]) ).
cnf(c14,plain,
( 'cast$uto$uel$uof$uLattPOSet'(X1,X0) = X0
| ~ lattice(X1)
| ~ 'latt$ustr'(X1)
| 'empty$ucarrier'(X1)
| ~ element(X0,'the$ucarrier'(X1)) ),
inference(clausification,[status(esa)],[d3_lattice3]) ).
cnf(c15,plain,
( 'cast$uto$uel$uof$ulattice'(X0,X1) = X1
| ~ element(X1,'the$ucarrier'('poset$uof$ulattice'(X0)))
| 'empty$ucarrier'(X0)
| ~ lattice(X0)
| ~ 'latt$ustr'(X0) ),
inference(clausification,[status(esa)],[d4_lattice3]) ).
cnf(c31,plain,
( 'empty$ucarrier'(X0)
| ~ 'latt$ustr'(X0)
| ~ element(X1,'the$ucarrier'('poset$uof$ulattice'(X0)))
| ~ lattice(X0)
| element('cast$uto$uel$uof$ulattice'(X0,X1),'the$ucarrier'(X0)) ),
inference(clausification,[status(esa)],[dt_k5_lattice3]) ).
cnf(c95,plain,
( ~ 'latt$ustr'(X0)
| 'empty$ucarrier'(X0)
| ~ lattice(X0)
| ~ element(X2,'the$ucarrier'(X0))
| ~ 'latt$uset$usmaller'(X0,X2,X1)
| 'relstr$uelement$usmaller'('poset$uof$ulattice'(X0),X1,'cast$uto$uel$uof$uLattPOSet'(X0,X2)) ),
inference(clausification,[status(esa)],[t28_lattice3]) ).
cnf(c96,plain,
( ~ 'latt$ustr'(X0)
| 'empty$ucarrier'(X0)
| ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(X0),X2,'cast$uto$uel$uof$uLattPOSet'(X0,X1))
| ~ lattice(X0)
| ~ element(X1,'the$ucarrier'(X0))
| 'latt$uset$usmaller'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t28_lattice3]) ).
cnf(c105,plain,
~ 'empty$ucarrier'(sK100),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c106,plain,
lattice(sK100),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c107,plain,
'latt$ustr'(sK100),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c108,plain,
element(sK101,'the$ucarrier'('poset$uof$ulattice'(sK100))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c110,plain,
( 'latt$uset$usmaller'(sK100,'cast$uto$uel$uof$ulattice'(sK100,sK101),sK99)
| 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),sK99,sK101) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c111,plain,
( ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),sK99,sK101)
| ~ 'latt$uset$usmaller'(sK100,'cast$uto$uel$uof$ulattice'(sK100,sK101),sK99) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'empty$ucarrier'(sK100)
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100)
| 'cast$uto$uel$uof$ulattice'(sK100,sK101) = sK101 ),
inference(resolution,[status(thm)],[c15,c108]) ).
cnf(d1,plain,
( ~ 'latt$ustr'(sK100)
| ~ lattice(sK100)
| 'cast$uto$uel$uof$ulattice'(sK100,sK101) = sK101 ),
inference(resolution,[status(thm)],[c105,d0]) ).
cnf(d2,plain,
( ~ 'latt$ustr'(sK100)
| 'cast$uto$uel$uof$ulattice'(sK100,sK101) = sK101 ),
inference(resolution,[status(thm)],[c106,d1]) ).
cnf(d3,plain,
'cast$uto$uel$uof$ulattice'(sK100,sK101) = sK101,
inference(resolution,[status(thm)],[c107,d2]) ).
cnf(d4,plain,
( 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),sK99,sK101)
| 'latt$uset$usmaller'(sK100,sK101,sK99) ),
inference(demodulation,[status(thm)],[c110,d3]) ).
cnf(d5,plain,
( ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),sK99,sK101)
| ~ 'latt$uset$usmaller'(sK100,sK101,sK99) ),
inference(demodulation,[status(thm)],[c111,d3]) ).
cnf(d6,plain,
( ~ element(sK101,'the$ucarrier'('poset$uof$ulattice'(sK100)))
| 'empty$ucarrier'(sK100)
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100)
| element(sK101,'the$ucarrier'(sK100)) ),
inference(superposition,[status(thm)],[d3,c31]) ).
cnf(d7,plain,
( element(sK101,'the$ucarrier'(sK100))
| ~ element(sK101,'the$ucarrier'('poset$uof$ulattice'(sK100)))
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100) ),
inference(resolution,[status(thm)],[c105,d6]) ).
cnf(d8,plain,
( element(sK101,'the$ucarrier'(sK100))
| ~ element(sK101,'the$ucarrier'('poset$uof$ulattice'(sK100)))
| ~ 'latt$ustr'(sK100) ),
inference(resolution,[status(thm)],[c106,d7]) ).
cnf(d9,plain,
( element(sK101,'the$ucarrier'(sK100))
| ~ element(sK101,'the$ucarrier'('poset$uof$ulattice'(sK100))) ),
inference(resolution,[status(thm)],[c107,d8]) ).
cnf(d10,plain,
element(sK101,'the$ucarrier'(sK100)),
inference(resolution,[status(thm)],[c108,d9]) ).
cnf(d11,plain,
( 'empty$ucarrier'(sK100)
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100)
| 'cast$uto$uel$uof$uLattPOSet'(sK100,sK101) = sK101 ),
inference(resolution,[status(thm)],[d10,c14]) ).
cnf(d12,plain,
( ~ 'latt$ustr'(sK100)
| ~ lattice(sK100)
| 'cast$uto$uel$uof$uLattPOSet'(sK100,sK101) = sK101 ),
inference(resolution,[status(thm)],[c105,d11]) ).
cnf(d13,plain,
( ~ 'latt$ustr'(sK100)
| 'cast$uto$uel$uof$uLattPOSet'(sK100,sK101) = sK101 ),
inference(resolution,[status(thm)],[c106,d12]) ).
cnf(d14,plain,
'cast$uto$uel$uof$uLattPOSet'(sK100,sK101) = sK101,
inference(resolution,[status(thm)],[c107,d13]) ).
cnf(d15,plain,
( ~ 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100))
| 'empty$ucarrier'(sK100)
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100)
| 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101) ),
inference(superposition,[status(thm)],[d14,c95]) ).
cnf(d16,plain,
( 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| ~ 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100))
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100) ),
inference(resolution,[status(thm)],[c105,d15]) ).
cnf(d17,plain,
( 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| ~ 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100))
| ~ 'latt$ustr'(sK100) ),
inference(resolution,[status(thm)],[c106,d16]) ).
cnf(d18,plain,
( 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| ~ 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100)) ),
inference(resolution,[status(thm)],[c107,d17]) ).
cnf(d19,plain,
( 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| ~ 'latt$uset$usmaller'(sK100,sK101,X0) ),
inference(resolution,[status(thm)],[d10,d18]) ).
cnf(d20,plain,
( ~ 'latt$uset$usmaller'(sK100,sK101,sK99)
| ~ 'latt$uset$usmaller'(sK100,sK101,sK99) ),
inference(resolution,[status(thm)],[d19,d5]) ).
cnf(d21,plain,
'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),sK99,sK101),
inference(resolution,[status(thm)],[d20,d4]) ).
cnf(d22,plain,
( 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100))
| 'empty$ucarrier'(sK100)
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100)
| ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101) ),
inference(superposition,[status(thm)],[d14,c96]) ).
cnf(d23,plain,
( ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100))
| ~ 'latt$ustr'(sK100)
| ~ lattice(sK100) ),
inference(resolution,[status(thm)],[c105,d22]) ).
cnf(d24,plain,
( ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100))
| ~ 'latt$ustr'(sK100) ),
inference(resolution,[status(thm)],[c106,d23]) ).
cnf(d25,plain,
( ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| 'latt$uset$usmaller'(sK100,sK101,X0)
| ~ element(sK101,'the$ucarrier'(sK100)) ),
inference(resolution,[status(thm)],[c107,d24]) ).
cnf(d26,plain,
( ~ 'relstr$uelement$usmaller'('poset$uof$ulattice'(sK100),X0,sK101)
| 'latt$uset$usmaller'(sK100,sK101,X0) ),
inference(resolution,[status(thm)],[d10,d25]) ).
cnf(d27,plain,
'latt$uset$usmaller'(sK100,sK101,sK99),
inference(resolution,[status(thm)],[d26,d21]) ).
cnf(d28,plain,
$false,
inference(resolution,[status(thm)],[d20,d27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU348+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 09:21:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.40/2.69 % SZS status Theorem for theBenchmark.p
% 17.40/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------