%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWX200+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 09:15:37 AM UTC 2026
% Result : Theorem 9.13s 2.02s
% Output : CNFRefutation 9.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 5 |; 1 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 5 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_007,axiom,
! [X0] : ~ leqNat(s(X0),z) ).
fof(axiom_009,axiom,
! [X0] : merge(nil,X0) = X0 ).
fof(axiom_013,axiom,
ord(nil) ).
fof(axiom_015,axiom,
! [X0,X1,X2] :
( ord(cons(X0,cons(X1,X2)))
<=> ( ord(cons(X1,X2))
& leqNat(X0,X1) ) ) ).
fof(goal_016,conjecture,
? [X0,X1] :
~ ( ord(X0)
=> ( ~ ord(X1)
=> ord(merge(X0,X1)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
~ ( ord(X0)
=> ( ~ ord(X1)
=> ord(merge(X0,X1)) ) ),
inference(negate_conjecture,[status(cth)],[goal_016]) ).
cnf(c6,plain,
~ leqNat(s(X0),z),
inference(clausification,[status(esa)],[axiom_007]) ).
cnf(c9,plain,
merge(nil,X0) = X0,
inference(clausification,[status(esa)],[axiom_009]) ).
cnf(c13,plain,
ord(nil),
inference(clausification,[status(esa)],[axiom_013]) ).
cnf(c15,plain,
( leqNat(X0,X1)
| ~ ord(cons(X0,cons(X1,X2))) ),
inference(clausification,[status(esa)],[axiom_015]) ).
cnf(c18,plain,
( ord(merge(X0,X1))
| ord(X1)
| ~ ord(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ ord(nil)
| ord(X0)
| ord(X0) ),
inference(superposition,[status(thm)],[c9,c18]) ).
cnf(d1,plain,
ord(X0),
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
leqNat(X0,X1),
inference(resolution,[status(thm)],[d1,c15]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX200+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 16:54:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.13/2.02 % SZS status Theorem for theBenchmark.p
% 9.13/2.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------