%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU263+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 : n020.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 08:41:29 AM UTC 2026
% Result : Theorem 22.44s 3.72s
% Output : CNFRefutation 22.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 24 ~; 22 |; 3 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 5 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_relset_1,axiom,
! [X0,X1,X2] :
( element(X2,powerset('cartesian$uproduct2'(X0,X1)))
=> relation(X2) ) ).
fof(d1_relset_1,axiom,
! [X0,X1,X2] :
( 'relation$uof2'(X2,X0,X1)
<=> subset(X2,'cartesian$uproduct2'(X0,X1)) ) ).
fof(dt_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'relation$uof2$uas$usubset'(X2,X0,X1)
=> element(X2,powerset('cartesian$uproduct2'(X0,X1))) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'relation$uof2$uas$usubset'(X2,X0,X1)
<=> 'relation$uof2'(X2,X0,X1) ) ).
fof(t119_zfmisc_1,axiom,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3)) ) ).
fof(t12_relset_1,axiom,
! [X0,X1,X2] :
( 'relation$uof2$uas$usubset'(X2,X0,X1)
=> ( subset('relation$urng'(X2),X1)
& subset('relation$udom'(X2),X0) ) ) ).
fof(t1_xboole_1,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ).
fof(t21_relat_1,axiom,
! [X0] :
( relation(X0)
=> subset(X0,'cartesian$uproduct2'('relation$udom'(X0),'relation$urng'(X0))) ) ).
fof(t14_relset_1,conjecture,
! [X0,X1,X2,X3] :
( 'relation$uof2$uas$usubset'(X3,X2,X0)
=> ( subset('relation$urng'(X3),X1)
=> 'relation$uof2$uas$usubset'(X3,X2,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( 'relation$uof2$uas$usubset'(X3,X2,X0)
=> ( subset('relation$urng'(X3),X1)
=> 'relation$uof2$uas$usubset'(X3,X2,X1) ) ),
inference(negate_conjecture,[status(cth)],[t14_relset_1]) ).
cnf(c0,plain,
( relation(X0)
| ~ element(X0,powerset('cartesian$uproduct2'(X1,X2))) ),
inference(clausification,[status(esa)],[cc1_relset_1]) ).
cnf(c2,plain,
( ~ subset(X0,'cartesian$uproduct2'(X1,X2))
| 'relation$uof2'(X0,X1,X2) ),
inference(clausification,[status(esa)],[d1_relset_1]) ).
cnf(c3,plain,
( element(X0,powerset('cartesian$uproduct2'(X1,X2)))
| ~ 'relation$uof2$uas$usubset'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_m2_relset_1]) ).
cnf(c8,plain,
( ~ 'relation$uof2'(X0,X1,X2)
| 'relation$uof2$uas$usubset'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c10,plain,
( subset('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t119_zfmisc_1]) ).
cnf(c11,plain,
( subset('relation$udom'(X0),X1)
| ~ 'relation$uof2$uas$usubset'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t12_relset_1]) ).
cnf(c13,plain,
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t1_xboole_1]) ).
cnf(c14,plain,
( subset(X0,'cartesian$uproduct2'('relation$udom'(X0),'relation$urng'(X0)))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t21_relat_1]) ).
cnf(c17,plain,
'relation$uof2$uas$usubset'(sK38,sK37,sK35),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
subset('relation$urng'(sK38),sK36),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c19,plain,
~ 'relation$uof2$uas$usubset'(sK38,sK37,sK36),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
subset('relation$udom'(sK38),sK37),
inference(resolution,[status(thm)],[c11,c17]) ).
cnf(d1,plain,
( subset(X0,X1)
| ~ subset('cartesian$uproduct2'('relation$udom'(X0),'relation$urng'(X0)),X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c14,c13]) ).
cnf(d2,plain,
( ~ subset('relation$urng'(X0),X2)
| ~ subset('relation$udom'(X0),X1)
| subset(X0,'cartesian$uproduct2'(X1,X2))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d1,c10]) ).
cnf(d3,plain,
( 'relation$uof2'(X0,X1,X2)
| ~ subset('relation$urng'(X0),X2)
| ~ subset('relation$udom'(X0),X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
( ~ subset('relation$udom'(sK38),X0)
| 'relation$uof2'(sK38,X0,sK36)
| ~ relation(sK38) ),
inference(resolution,[status(thm)],[d3,c18]) ).
cnf(d5,plain,
( relation(X0)
| ~ 'relation$uof2$uas$usubset'(X0,X1,X2) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d6,plain,
relation(sK38),
inference(resolution,[status(thm)],[d5,c17]) ).
cnf(d7,plain,
( ~ subset('relation$udom'(sK38),X0)
| 'relation$uof2'(sK38,X0,sK36) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
'relation$uof2'(sK38,sK37,sK36),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
'relation$uof2$uas$usubset'(sK38,sK37,sK36),
inference(resolution,[status(thm)],[d8,c8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c19,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU263+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n020.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 09:02:04 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.44/3.72 % SZS status Theorem for theBenchmark.p
% 22.44/3.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------