%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV028-1 : TPTP v9.3.1. Released v2.5.0.
% 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 07:32:58 AM UTC 2026
% Result : Unsatisfiable 10.94s 3.63s
% Output : CNFRefutation 10.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 15 unt; 0 nHn; 18 RR)
% Number of literals : 27 ( 5 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
'p$uReset'('t$u139') ).
cnf(quest_2,negated_conjecture,
gt(level(plus('t$u139',n1)),'fifo$ulength') ).
cnf(quest_3,negated_conjecture,
gt('fifo$ulength',n0) ).
cnf(axiom_13,axiom,
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ) ).
cnf(axiom_17,axiom,
~ gt(X0,X0) ).
cnf(axiom_21,axiom,
level(X0) = 'int$ulevel'(X0) ).
cnf(axiom_26,axiom,
( 'int$ulevel'(plus(X0,n1)) = n0
| ~ 'p$uReset'(X0) ) ).
cnf(c0,plain,
'p$uReset'('t$u139'),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
gt(level(plus('t$u139',n1)),'fifo$ulength'),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
gt('fifo$ulength',n0),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c15,plain,
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c19,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c23,plain,
level(X0) = 'int$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c28,plain,
( 'int$ulevel'(plus(X0,n1)) = n0
| ~ 'p$uReset'(X0) ),
inference(clausification,[status(esa)],[axiom_26]) ).
cnf(d0,plain,
( gt('fifo$ulength',X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[c15,c2]) ).
cnf(d1,plain,
'int$ulevel'(plus('t$u139',n1)) = n0,
inference(resolution,[status(thm)],[c28,c0]) ).
cnf(d2,plain,
gt('int$ulevel'(plus('t$u139',n1)),'fifo$ulength'),
inference(demodulation,[status(thm)],[c1,c23]) ).
cnf(d3,plain,
gt(n0,'fifo$ulength'),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
gt('fifo$ulength','fifo$ulength'),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c19,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV028-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 16:02:44 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.94/3.63 % SZS status Unsatisfiable for theBenchmark.p
% 10.94/3.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------