%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU355+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 : n003.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 08:41:45 AM UTC 2026
% Result : Theorem 10.63s 2.21s
% Output : CNFRefutation 10.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 64 ( 26 ~; 21 |; 3 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_lattice3,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1,X2] :
( element(X2,'the$ucarrier'(X0))
=> ( 'relstr$uelement$usmaller'(X0,X1,X2)
<=> ! [X3] :
( element(X3,'the$ucarrier'(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ) ).
fof(d9_lattice3,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1,X2] :
( element(X2,'the$ucarrier'(X0))
=> ( 'relstr$uset$usmaller'(X0,X1,X2)
<=> ! [X3] :
( element(X3,'the$ucarrier'(X0))
=> ( in(X3,X1)
=> related(X0,X3,X2) ) ) ) ) ) ).
fof(fc1_xboole_0,axiom,
empty('empty$uset') ).
fof(t7_boole,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ) ).
fof(t6_yellow_0,conjecture,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> ( 'relstr$uelement$usmaller'(X0,'empty$uset',X1)
& 'relstr$uset$usmaller'(X0,'empty$uset',X1) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> ( 'relstr$uelement$usmaller'(X0,'empty$uset',X1)
& 'relstr$uset$usmaller'(X0,'empty$uset',X1) ) ) ),
inference(negate_conjecture,[status(cth)],[t6_yellow_0]) ).
cnf(c4,plain,
( in(sK7(X0,X2,X1),X2)
| 'relstr$uelement$usmaller'(X0,X2,X1)
| ~ element(X1,'the$ucarrier'(X0))
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d8_lattice3]) ).
cnf(c8,plain,
( in(sK12(X0,X2,X1),X2)
| 'relstr$uset$usmaller'(X0,X2,X1)
| ~ element(X1,'the$ucarrier'(X0))
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d9_lattice3]) ).
cnf(c14,plain,
empty('empty$uset'),
inference(clausification,[status(esa)],[fc1_xboole_0]) ).
cnf(c22,plain,
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t7_boole]) ).
cnf(c24,plain,
'rel$ustr'(sK30),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c25,plain,
element(sK31,'the$ucarrier'(sK30)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c26,plain,
( ~ 'relstr$uelement$usmaller'(sK30,'empty$uset',sK31)
| ~ 'relstr$uset$usmaller'(sK30,'empty$uset',sK31) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'rel$ustr'(X2)
| 'relstr$uelement$usmaller'(X2,X0,X1)
| ~ element(X1,'the$ucarrier'(X2))
| ~ empty(X0) ),
inference(resolution,[status(thm)],[c22,c4]) ).
cnf(d1,plain,
( ~ 'rel$ustr'(sK30)
| 'relstr$uelement$usmaller'(sK30,X0,sK31)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[d0,c25]) ).
cnf(d2,plain,
( 'relstr$uelement$usmaller'(sK30,X0,sK31)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[c24,d1]) ).
cnf(d3,plain,
( 'relstr$uset$usmaller'(X2,X0,X1)
| ~ 'rel$ustr'(X2)
| ~ element(X1,'the$ucarrier'(X2))
| ~ empty(X0) ),
inference(resolution,[status(thm)],[c22,c8]) ).
cnf(d4,plain,
( 'relstr$uset$usmaller'(sK30,X0,sK31)
| ~ 'rel$ustr'(sK30)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[d3,c25]) ).
cnf(d5,plain,
( 'relstr$uset$usmaller'(sK30,X0,sK31)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[c24,d4]) ).
cnf(d6,plain,
( ~ 'relstr$uelement$usmaller'(sK30,'empty$uset',sK31)
| ~ empty('empty$uset') ),
inference(resolution,[status(thm)],[d5,c26]) ).
cnf(d7,plain,
~ 'relstr$uelement$usmaller'(sK30,'empty$uset',sK31),
inference(resolution,[status(thm)],[c14,d6]) ).
cnf(d8,plain,
~ empty('empty$uset'),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c14,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU355+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
% 0.10/0.36 % Computer : n003.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 09:19:53 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.63/2.21 % SZS status Theorem for theBenchmark.p
% 10.63/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------