%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 07:32:54 AM UTC 2026
% Result : Unsatisfiable 10.77s 3.94s
% Output : CNFRefutation 10.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 13 unt; 5 nHn; 22 RR)
% Number of literals : 49 ( 2 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
gt('fifo$ulength',level('t$u139')) ).
cnf(quest_2,negated_conjecture,
'p$uWr'('t$u139') ).
cnf(quest_3,negated_conjecture,
'p$uWr$uerror'(plus('t$u139',n1)) ).
cnf(axiom_21,axiom,
level(X0) = 'int$ulevel'(X0) ).
cnf(axiom_29,axiom,
( ~ 'p$uWr$uerror'(plus(X0,n1))
| ~ 'p$uReset'(X0) ) ).
cnf(axiom_34,axiom,
( ~ 'p$uWr$uerror'(plus(X0,n1))
| ~ gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_51,axiom,
( ~ 'p$uWr$uerror'(plus(X0,n1))
| ~ 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(c0,plain,
gt('fifo$ulength',level('t$u139')),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
'p$uWr'('t$u139'),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
'p$uWr$uerror'(plus('t$u139',n1)),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c23,plain,
level(X0) = 'int$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c31,plain,
( ~ 'p$uWr$uerror'(plus(X0,n1))
| ~ 'p$uReset'(X0) ),
inference(clausification,[status(esa)],[axiom_29]) ).
cnf(c36,plain,
( ~ 'p$uWr'(X0)
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| ~ gt('fifo$ulength','int$ulevel'(X0))
| ~ 'p$uWr$uerror'(plus(X0,n1)) ),
inference(clausification,[status(esa)],[axiom_34]) ).
cnf(c53,plain,
( ~ 'p$uWr$uerror'(plus(X0,n1))
| ~ 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ),
inference(clausification,[status(esa)],[axiom_51]) ).
cnf(d0,plain,
( 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| ~ gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[c36,c2]) ).
cnf(d1,plain,
( 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| ~ gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
gt('fifo$ulength','int$ulevel'('t$u139')),
inference(demodulation,[status(thm)],[c0,c23]) ).
cnf(d3,plain,
( 'p$uRd'('t$u139')
| 'p$uReset'('t$u139') ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ 'p$uReset'('t$u139'),
inference(resolution,[status(thm)],[c31,c2]) ).
cnf(d5,plain,
'p$uRd'('t$u139'),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139') ),
inference(resolution,[status(thm)],[c53,c2]) ).
cnf(d7,plain,
( ~ 'p$uRd'('t$u139')
| 'p$uReset'('t$u139') ),
inference(resolution,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
~ 'p$uRd'('t$u139'),
inference(resolution,[status(thm)],[d4,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n018.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Fri Sep 25 16:03:20 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.77/3.94 % SZS status Unsatisfiable for theBenchmark.p
% 10.77/3.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------