%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU264+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 : 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 08:41:29 AM UTC 2026
% Result : Theorem 43.94s 8.70s
% Output : CNFRefutation 43.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 11 ~; 8 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 31 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_relset_1,lemma,
! [X0,X1,X2] :
( 'relation$uof2$uas$usubset'(X2,X0,X1)
=> ( subset('relation$urng'(X2),X1)
& subset('relation$udom'(X2),X0) ) ) ).
fof(t14_relset_1,lemma,
! [X0,X1,X2,X3] :
( 'relation$uof2$uas$usubset'(X3,X2,X0)
=> ( subset('relation$urng'(X3),X1)
=> 'relation$uof2$uas$usubset'(X3,X2,X1) ) ) ).
fof(t1_xboole_1,lemma,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ).
fof(t16_relset_1,conjecture,
! [X0,X1,X2,X3] :
( 'relation$uof2$uas$usubset'(X3,X2,X0)
=> ( subset(X0,X1)
=> 'relation$uof2$uas$usubset'(X3,X2,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( 'relation$uof2$uas$usubset'(X3,X2,X0)
=> ( subset(X0,X1)
=> 'relation$uof2$uas$usubset'(X3,X2,X1) ) ),
inference(negate_conjecture,[status(cth)],[t16_relset_1]) ).
cnf(c599,plain,
( subset('relation$urng'(X0),X2)
| ~ 'relation$uof2$uas$usubset'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t12_relset_1]) ).
cnf(c616,plain,
( 'relation$uof2$uas$usubset'(X0,X1,X3)
| ~ subset('relation$urng'(X0),X3)
| ~ 'relation$uof2$uas$usubset'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t14_relset_1]) ).
cnf(c636,plain,
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t1_xboole_1]) ).
cnf(c819,plain,
'relation$uof2$uas$usubset'(sK853,sK852,sK850),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c820,plain,
subset(sK850,sK851),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c821,plain,
~ 'relation$uof2$uas$usubset'(sK853,sK852,sK851),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
subset('relation$urng'(sK853),sK850),
inference(resolution,[status(thm)],[c599,c819]) ).
cnf(d1,plain,
( subset('relation$urng'(sK853),X0)
| ~ subset(sK850,X0) ),
inference(resolution,[status(thm)],[c636,d0]) ).
cnf(d2,plain,
( 'relation$uof2$uas$usubset'(sK853,sK852,X0)
| ~ subset('relation$urng'(sK853),X0) ),
inference(resolution,[status(thm)],[c616,c819]) ).
cnf(d3,plain,
( ~ subset(sK850,X0)
| 'relation$uof2$uas$usubset'(sK853,sK852,X0) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ subset(sK850,sK851),
inference(resolution,[status(thm)],[d3,c821]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c820,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU264+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
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 09:03:24 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.94/8.70 % SZS status Theorem for theBenchmark.p
% 43.94/8.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------