%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU188+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 : n001.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 08:41:12 AM UTC 2026
% Result : Theorem 13.53s 2.26s
% Output : CNFRefutation 13.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 50 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 17 ~; 18 |; 2 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_xboole_0,axiom,
empty('empty$uset') ).
fof(fc5_relat_1,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty('relation$udom'(X0)) ) ).
fof(fc6_relat_1,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty('relation$urng'(X0)) ) ).
fof(t6_boole,axiom,
! [X0] :
( empty(X0)
=> X0 = 'empty$uset' ) ).
fof(t64_relat_1,conjecture,
! [X0] :
( relation(X0)
=> ( ( 'relation$urng'(X0) = 'empty$uset'
| 'relation$udom'(X0) = 'empty$uset' )
=> X0 = 'empty$uset' ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( 'relation$urng'(X0) = 'empty$uset'
| 'relation$udom'(X0) = 'empty$uset' )
=> X0 = 'empty$uset' ) ),
inference(negate_conjecture,[status(cth)],[t64_relat_1]) ).
cnf(c17,plain,
empty('empty$uset'),
inference(clausification,[status(esa)],[fc1_xboole_0]) ).
cnf(c23,plain,
( ~ empty('relation$udom'(X0))
| ~ relation(X0)
| empty(X0) ),
inference(clausification,[status(esa)],[fc5_relat_1]) ).
cnf(c24,plain,
( ~ empty('relation$urng'(X0))
| ~ relation(X0)
| empty(X0) ),
inference(clausification,[status(esa)],[fc6_relat_1]) ).
cnf(c38,plain,
( X0 = 'empty$uset'
| ~ empty(X0) ),
inference(clausification,[status(esa)],[t6_boole]) ).
cnf(c41,plain,
relation(sK50),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c42,plain,
( 'relation$urng'(sK50) = 'empty$uset'
| 'relation$udom'(sK50) = 'empty$uset' ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c43,plain,
sK50 != 'empty$uset',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'relation$udom'(sK50) = 'empty$uset'
| ~ relation(sK50)
| empty(sK50)
| ~ empty('empty$uset') ),
inference(superposition,[status(thm)],[c42,c24]) ).
cnf(d1,plain,
( empty(sK50)
| ~ empty('empty$uset')
| 'relation$udom'(sK50) = 'empty$uset' ),
inference(resolution,[status(thm)],[c41,d0]) ).
cnf(d2,plain,
( empty(sK50)
| 'relation$udom'(sK50) = 'empty$uset' ),
inference(resolution,[status(thm)],[c17,d1]) ).
cnf(d3,plain,
( 'relation$udom'(sK50) = 'empty$uset'
| sK50 = 'empty$uset' ),
inference(resolution,[status(thm)],[c38,d2]) ).
cnf(d4,plain,
'relation$udom'(sK50) = 'empty$uset',
inference(resolution,[status(thm)],[c43,d3]) ).
cnf(d5,plain,
( ~ relation(sK50)
| empty(sK50)
| ~ empty('empty$uset') ),
inference(superposition,[status(thm)],[d4,c23]) ).
cnf(d6,plain,
( empty(sK50)
| ~ empty('empty$uset') ),
inference(resolution,[status(thm)],[c41,d5]) ).
cnf(d7,plain,
empty(sK50),
inference(resolution,[status(thm)],[c17,d6]) ).
cnf(d8,plain,
sK50 = 'empty$uset',
inference(resolution,[status(thm)],[d7,c38]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c43,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU188+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
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:52:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.53/2.26 % SZS status Theorem for theBenchmark.p
% 13.53/2.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------