%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU413+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 08:41:56 AM UTC 2026
% Result : Theorem 12.32s 2.12s
% Output : CNFRefutation 12.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 120 ( 49 ~; 42 |; 11 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d9_orders_2,axiom,
! [X0] :
( 'l1$uorders$u2'(X0)
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ( 'r1$uorders$u2'(X0,X1,X2)
<=> 'r2$uhidden'('k4$utarski'(X1,X2),'u1$uorders$u2'(X0)) ) ) ) ) ).
fof(dt_k1_latsum_1,axiom,
! [X0,X1] :
( ( 'l1$uorders$u2'(X1)
& 'l1$uorders$u2'(X0) )
=> ( 'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1))
& 'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) ) ) ).
fof(t21_latsum_1,axiom,
! [X0] :
( 'l1$uorders$u2'(X0)
=> ! [X1] :
( 'l1$uorders$u2'(X1)
=> ! [X2,X3] :
( ( 'r2$uhidden'(X3,'u1$ustruct$u0'(X0))
& 'r2$uhidden'('k4$utarski'(X2,X3),'u1$uorders$u2'('k1$ulatsum$u1'(X0,X1)))
& 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
& 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),X1) )
=> 'r2$uhidden'(X2,'u1$ustruct$u0'(X0)) ) ) ) ).
fof(t23_latsum_1,conjecture,
! [X0] :
( 'l1$uorders$u2'(X0)
=> ! [X1] :
( 'l1$uorders$u2'(X1)
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)))
=> ! [X3] :
( 'm1$usubset$u1'(X3,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)))
=> ( ( 'r2$uhidden'(X3,'u1$ustruct$u0'(X0))
& 'r1$uorders$u2'('k1$ulatsum$u1'(X0,X1),X2,X3)
& 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
& 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),X1) )
=> 'r2$uhidden'(X2,'u1$ustruct$u0'(X0)) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'l1$uorders$u2'(X0)
=> ! [X1] :
( 'l1$uorders$u2'(X1)
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)))
=> ! [X3] :
( 'm1$usubset$u1'(X3,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)))
=> ( ( 'r2$uhidden'(X3,'u1$ustruct$u0'(X0))
& 'r1$uorders$u2'('k1$ulatsum$u1'(X0,X1),X2,X3)
& 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
& 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),X1) )
=> 'r2$uhidden'(X2,'u1$ustruct$u0'(X0)) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t23_latsum_1]) ).
cnf(c4,plain,
( ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| ~ 'l1$uorders$u2'(X0)
| ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
| 'r2$uhidden'('k4$utarski'(X1,X2),'u1$uorders$u2'(X0))
| ~ 'r1$uorders$u2'(X0,X1,X2) ),
inference(clausification,[status(esa)],[d9_orders_2]) ).
cnf(c9,plain,
( 'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1))
| ~ 'l1$uorders$u2'(X1)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[dt_k1_latsum_1]) ).
cnf(c28,plain,
( ~ 'l1$uorders$u2'(X1)
| ~ 'l1$uorders$u2'(X2)
| ~ 'r2$uhidden'('k4$utarski'(X3,X0),'u1$uorders$u2'('k1$ulatsum$u1'(X1,X2)))
| 'r2$uhidden'(X3,'u1$ustruct$u0'(X1))
| ~ 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X2)),'k1$uzfmisc$u1'('u1$ustruct$u0'(X2)))
| ~ 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X2)),X2)
| ~ 'r2$uhidden'(X0,'u1$ustruct$u0'(X1)) ),
inference(clausification,[status(esa)],[t21_latsum_1]) ).
cnf(c38,plain,
'l1$uorders$u2'(sK65),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c39,plain,
'l1$uorders$u2'(sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c40,plain,
'm1$usubset$u1'(sK67,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
'm1$usubset$u1'(sK68,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c42,plain,
'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK65),'u1$ustruct$u0'(sK66)),sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c43,plain,
'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(sK65),'u1$ustruct$u0'(sK66)),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c44,plain,
'r1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66),sK67,sK68),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c45,plain,
'r2$uhidden'(sK68,'u1$ustruct$u0'(sK65)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c46,plain,
~ 'r2$uhidden'(sK67,'u1$ustruct$u0'(sK65)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK65),'u1$ustruct$u0'(sK66)),sK66)
| ~ 'r2$uhidden'('k4$utarski'(X0,X1),'u1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'r2$uhidden'(X1,'u1$ustruct$u0'(sK65))
| 'r2$uhidden'(X0,'u1$ustruct$u0'(sK65))
| ~ 'l1$uorders$u2'(sK66)
| ~ 'l1$uorders$u2'(sK65) ),
inference(resolution,[status(thm)],[c28,c43]) ).
cnf(d1,plain,
( ~ 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK65),'u1$ustruct$u0'(sK66)),sK66)
| ~ 'r2$uhidden'('k4$utarski'(X1,X0),'u1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)))
| 'r2$uhidden'(X1,'u1$ustruct$u0'(sK65))
| ~ 'r2$uhidden'(X0,'u1$ustruct$u0'(sK65))
| ~ 'l1$uorders$u2'(sK66) ),
inference(resolution,[status(thm)],[c38,d0]) ).
cnf(d2,plain,
( ~ 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK65),'u1$ustruct$u0'(sK66)),sK66)
| ~ 'r2$uhidden'('k4$utarski'(X0,X1),'u1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'r2$uhidden'(X1,'u1$ustruct$u0'(sK65))
| 'r2$uhidden'(X0,'u1$ustruct$u0'(sK65)) ),
inference(resolution,[status(thm)],[c39,d1]) ).
cnf(d3,plain,
( ~ 'r2$uhidden'('k4$utarski'(X1,X0),'u1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)))
| 'r2$uhidden'(X1,'u1$ustruct$u0'(sK65))
| ~ 'r2$uhidden'(X0,'u1$ustruct$u0'(sK65)) ),
inference(resolution,[status(thm)],[c42,d2]) ).
cnf(d4,plain,
( ~ 'r1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66),X0,X1)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'l1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66))
| ~ 'r2$uhidden'(X1,'u1$ustruct$u0'(sK65))
| 'r2$uhidden'(X0,'u1$ustruct$u0'(sK65)) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( ~ 'm1$usubset$u1'(sK67,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'm1$usubset$u1'(sK68,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| 'r2$uhidden'(sK67,'u1$ustruct$u0'(sK65))
| ~ 'r2$uhidden'(sK68,'u1$ustruct$u0'(sK65))
| ~ 'l1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)) ),
inference(resolution,[status(thm)],[d4,c44]) ).
cnf(d6,plain,
( ~ 'm1$usubset$u1'(sK68,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'm1$usubset$u1'(sK67,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| 'r2$uhidden'(sK67,'u1$ustruct$u0'(sK65))
| ~ 'l1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)) ),
inference(resolution,[status(thm)],[c45,d5]) ).
cnf(d7,plain,
( ~ 'm1$usubset$u1'(sK68,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'm1$usubset$u1'(sK67,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'l1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)) ),
inference(resolution,[status(thm)],[c46,d6]) ).
cnf(d8,plain,
( ~ 'm1$usubset$u1'(sK68,'u1$ustruct$u0'('k1$ulatsum$u1'(sK65,sK66)))
| ~ 'l1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)) ),
inference(resolution,[status(thm)],[c40,d7]) ).
cnf(d9,plain,
~ 'l1$uorders$u2'('k1$ulatsum$u1'(sK65,sK66)),
inference(resolution,[status(thm)],[c41,d8]) ).
cnf(d10,plain,
( ~ 'l1$uorders$u2'(sK66)
| ~ 'l1$uorders$u2'(sK65) ),
inference(resolution,[status(thm)],[d9,c9]) ).
cnf(d11,plain,
~ 'l1$uorders$u2'(sK66),
inference(resolution,[status(thm)],[c38,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c39,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU413+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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 09:32:30 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.32/2.12 % SZS status Theorem for theBenchmark.p
% 12.32/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------