%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU373+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 : n006.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 08:41:48 AM UTC 2026
% Result : Theorem 28.82s 6.13s
% Output : CNFRefutation 28.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 75 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 31 ~; 26 |; 3 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 26 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( 'rel$ustr'(X1)
=> ( subrelstr(X1,X0)
<=> ( subset('the$uInternalRel'(X1),'the$uInternalRel'(X0))
& subset('the$ucarrier'(X1),'the$ucarrier'(X0)) ) ) ) ) ).
fof(d8_yellow_6,axiom,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> ! [X2] :
( 'net$ustr'(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( 'the$umapping'(X0,X2) = 'relation$udom$urestr$uas$urelation$uof'('the$ucarrier'(X1),'the$ucarrier'(X0),'the$umapping'(X0,X1),'the$ucarrier'(X2))
& subrelstr(X2,X1) ) ) ) ) ) ).
fof(dt_l1_waybel_0,axiom,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> 'rel$ustr'(X1) ) ) ).
fof(dt_m1_yellow_6,axiom,
! [X0,X1] :
( ( 'net$ustr'(X1,X0)
& 'one$usorted$ustr'(X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> 'net$ustr'(X2,X0) ) ) ).
fof(t19_yellow_6,conjecture,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset('the$ucarrier'(X2),'the$ucarrier'(X1)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset('the$ucarrier'(X2),'the$ucarrier'(X1)) ) ) ),
inference(negate_conjecture,[status(cth)],[t19_yellow_6]) ).
cnf(c287,plain,
( subset('the$ucarrier'(X1),'the$ucarrier'(X0))
| ~ subrelstr(X1,X0)
| ~ 'rel$ustr'(X1)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d13_yellow_0]) ).
cnf(c817,plain,
( ~ 'one$usorted$ustr'(X1)
| ~ subnetstr(X0,X1,X2)
| ~ 'net$ustr'(X2,X1)
| subrelstr(X0,X2)
| ~ 'net$ustr'(X0,X1) ),
inference(clausification,[status(esa)],[d8_yellow_6]) ).
cnf(c919,plain,
( 'rel$ustr'(X1)
| ~ 'net$ustr'(X1,X0)
| ~ 'one$usorted$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_l1_waybel_0]) ).
cnf(c925,plain,
( 'net$ustr'(X2,X0)
| ~ subnetstr(X2,X0,X1)
| ~ 'net$ustr'(X1,X0)
| ~ 'one$usorted$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_m1_yellow_6]) ).
cnf(c2566,plain,
'one$usorted$ustr'(sK2416),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2567,plain,
'net$ustr'(sK2417,sK2416),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2568,plain,
subnetstr(sK2418,sK2416,sK2417),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2569,plain,
~ subset('the$ucarrier'(sK2418),'the$ucarrier'(sK2417)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'net$ustr'(sK2417,sK2416)
| 'net$ustr'(sK2418,sK2416)
| ~ 'one$usorted$ustr'(sK2416) ),
inference(resolution,[status(thm)],[c925,c2568]) ).
cnf(d1,plain,
( 'net$ustr'(sK2418,sK2416)
| ~ 'net$ustr'(sK2417,sK2416) ),
inference(resolution,[status(thm)],[c2566,d0]) ).
cnf(d2,plain,
'net$ustr'(sK2418,sK2416),
inference(resolution,[status(thm)],[c2567,d1]) ).
cnf(d3,plain,
( ~ 'one$usorted$ustr'(sK2416)
| 'rel$ustr'(sK2418) ),
inference(resolution,[status(thm)],[d2,c919]) ).
cnf(d4,plain,
'rel$ustr'(sK2418),
inference(resolution,[status(thm)],[c2566,d3]) ).
cnf(d5,plain,
( ~ subrelstr(sK2418,sK2417)
| ~ 'rel$ustr'(sK2418)
| ~ 'rel$ustr'(sK2417) ),
inference(resolution,[status(thm)],[c287,c2569]) ).
cnf(d6,plain,
( ~ 'one$usorted$ustr'(sK2416)
| 'rel$ustr'(sK2417) ),
inference(resolution,[status(thm)],[c919,c2567]) ).
cnf(d7,plain,
'rel$ustr'(sK2417),
inference(resolution,[status(thm)],[c2566,d6]) ).
cnf(d8,plain,
( ~ subrelstr(sK2418,sK2417)
| ~ 'rel$ustr'(sK2418) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( subrelstr(sK2418,sK2417)
| ~ 'net$ustr'(sK2417,sK2416)
| ~ 'net$ustr'(sK2418,sK2416)
| ~ 'one$usorted$ustr'(sK2416) ),
inference(resolution,[status(thm)],[c817,c2568]) ).
cnf(d10,plain,
( subrelstr(sK2418,sK2417)
| ~ 'net$ustr'(sK2418,sK2416)
| ~ 'net$ustr'(sK2417,sK2416) ),
inference(resolution,[status(thm)],[c2566,d9]) ).
cnf(d11,plain,
( subrelstr(sK2418,sK2417)
| ~ 'net$ustr'(sK2418,sK2416) ),
inference(resolution,[status(thm)],[c2567,d10]) ).
cnf(d12,plain,
subrelstr(sK2418,sK2417),
inference(resolution,[status(thm)],[d2,d11]) ).
cnf(d13,plain,
~ 'rel$ustr'(sK2418),
inference(resolution,[status(thm)],[d12,d8]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU373+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
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 09:21:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.82/6.13 % SZS status Theorem for theBenchmark.p
% 28.82/6.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------