%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU187+2 : 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 : n007.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 22.54s 3.65s
% Output : CNFRefutation 22.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 47 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 15 ~; 16 |; 3 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_xboole_0,axiom,
! [X0] :
( X0 = 'empty$uset'
<=> ! [X1] : ~ in(X1,X0) ) ).
fof(d4_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = 'relation$udom'(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in('ordered$upair'(X2,X3),X0) ) ) ) ).
fof(d5_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = 'relation$urng'(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in('ordered$upair'(X3,X2),X0) ) ) ) ).
fof(fc4_relat_1,axiom,
( relation('empty$uset')
& empty('empty$uset') ) ).
fof(t60_relat_1,conjecture,
( 'relation$urng'('empty$uset') = 'empty$uset'
& 'relation$udom'('empty$uset') = 'empty$uset' ) ).
fof(negated_conjecture,negated_conjecture,
~ ( 'relation$urng'('empty$uset') = 'empty$uset'
& 'relation$udom'('empty$uset') = 'empty$uset' ),
inference(negate_conjecture,[status(cth)],[t60_relat_1]) ).
cnf(c31,plain,
( ~ in(X1,X0)
| X0 != 'empty$uset' ),
inference(clausification,[status(esa)],[d1_xboole_0]) ).
cnf(c96,plain,
( in('ordered$upair'(sK83(X0,X1),sK85(X0,X1)),X0)
| in(sK83(X0,X1),X1)
| X1 = 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c125,plain,
( in('ordered$upair'(sK109(X0,X1),sK107(X0,X1)),X0)
| in(sK107(X0,X1),X1)
| X1 = 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d5_relat_1]) ).
cnf(c180,plain,
relation('empty$uset'),
inference(clausification,[status(esa)],[fc4_relat_1]) ).
cnf(c325,plain,
( 'relation$urng'('empty$uset') != 'empty$uset'
| 'relation$udom'('empty$uset') != 'empty$uset' ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ in(X0,'empty$uset'),
inference(equality_resolution,[status(thm)],[c31]) ).
cnf(d1,plain,
( ~ relation('empty$uset')
| in(sK107('empty$uset',X0),X0)
| X0 = 'relation$urng'('empty$uset') ),
inference(resolution,[status(thm)],[c125,d0]) ).
cnf(d2,plain,
( in(sK107('empty$uset',X0),X0)
| X0 = 'relation$urng'('empty$uset') ),
inference(resolution,[status(thm)],[c180,d1]) ).
cnf(d3,plain,
'empty$uset' = 'relation$urng'('empty$uset'),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ relation('empty$uset')
| in(sK83('empty$uset',X0),X0)
| X0 = 'relation$udom'('empty$uset') ),
inference(resolution,[status(thm)],[c96,d0]) ).
cnf(d5,plain,
( in(sK83('empty$uset',X0),X0)
| X0 = 'relation$udom'('empty$uset') ),
inference(resolution,[status(thm)],[c180,d4]) ).
cnf(d6,plain,
'empty$uset' = 'relation$udom'('empty$uset'),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( 'relation$urng'('empty$uset') != 'empty$uset'
| 'empty$uset' != 'empty$uset' ),
inference(demodulation,[status(thm)],[c325,d6]) ).
cnf(d8,plain,
( 'empty$uset' != 'empty$uset'
| 'empty$uset' != 'empty$uset' ),
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU187+2 : 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 : n007.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 08:44:39 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.54/3.65 % SZS status Theorem for theBenchmark.p
% 22.54/3.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------