%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV018-1 : 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 : n015.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 07:32:55 AM UTC 2026
% Result : Unsatisfiable 13.80s 3.36s
% Output : CNFRefutation 13.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 15 unt; 13 nHn; 36 RR)
% Number of literals : 87 ( 15 equ; 32 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
~ 'p$uRd'('t$u139') ).
cnf(quest_2,negated_conjecture,
'p$uWr'('t$u139') ).
cnf(quest_3,negated_conjecture,
'p$uFull'('t$u139') ).
cnf(quest_4,negated_conjecture,
~ 'p$uReset'('t$u139') ).
cnf(quest_5,negated_conjecture,
( ~ 'p$uWr$uerror'(plus('t$u139',n1))
| ~ 'p$uFull'(plus('t$u139',n1)) ) ).
cnf(axiom_17,axiom,
~ gt(X0,X0) ).
cnf(axiom_22,axiom,
( 'p$uFull'(X0)
| 'int$ulevel'(X0) != 'fifo$ulength' ) ).
cnf(axiom_23,axiom,
( ~ 'p$uFull'(X0)
| 'int$ulevel'(X0) = 'fifo$ulength' ) ).
cnf(axiom_42,axiom,
( 'p$uWr$uerror'(plus(X0,n1))
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_44,axiom,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(c0,plain,
~ 'p$uRd'('t$u139'),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
'p$uWr'('t$u139'),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
'p$uFull'('t$u139'),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c3,plain,
~ 'p$uReset'('t$u139'),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c4,plain,
( ~ 'p$uWr$uerror'(plus('t$u139',n1))
| ~ 'p$uFull'(plus('t$u139',n1)) ),
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c21,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c26,plain,
( 'p$uFull'(X0)
| 'int$ulevel'(X0) != 'fifo$ulength' ),
inference(clausification,[status(esa)],[axiom_22]) ).
cnf(c27,plain,
( ~ 'p$uFull'(X0)
| 'int$ulevel'(X0) = 'fifo$ulength' ),
inference(clausification,[status(esa)],[axiom_23]) ).
cnf(c46,plain,
( gt('fifo$ulength','int$ulevel'(X0))
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| 'p$uWr$uerror'(plus(X0,n1))
| ~ 'p$uWr'(X0) ),
inference(clausification,[status(esa)],[axiom_42]) ).
cnf(c48,plain,
( ~ 'p$uWr'(X0)
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0) ),
inference(clausification,[status(esa)],[axiom_44]) ).
cnf(d0,plain,
'int$ulevel'('t$u139') = 'fifo$ulength',
inference(resolution,[status(thm)],[c27,c2]) ).
cnf(d1,plain,
( 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'p$uRd'('t$u139')
| 'int$ulevel'(plus('t$u139',n1)) = 'int$ulevel'('t$u139')
| gt('fifo$ulength','fifo$ulength') ),
inference(superposition,[status(thm)],[d0,c48]) ).
cnf(d2,plain,
( gt('fifo$ulength','fifo$ulength')
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'p$uRd'('t$u139')
| 'int$ulevel'(plus('t$u139',n1)) = 'fifo$ulength' ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( gt('fifo$ulength','fifo$ulength')
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'int$ulevel'(plus('t$u139',n1)) = 'fifo$ulength' ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
( gt('fifo$ulength','fifo$ulength')
| 'p$uReset'('t$u139')
| 'int$ulevel'(plus('t$u139',n1)) = 'fifo$ulength' ),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
( gt('fifo$ulength','fifo$ulength')
| 'int$ulevel'(plus('t$u139',n1)) = 'fifo$ulength' ),
inference(resolution,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
'int$ulevel'(plus('t$u139',n1)) = 'fifo$ulength',
inference(resolution,[status(thm)],[c21,d5]) ).
cnf(d7,plain,
( 'p$uFull'(plus('t$u139',n1))
| 'fifo$ulength' != 'fifo$ulength' ),
inference(superposition,[status(thm)],[d6,c26]) ).
cnf(d8,plain,
( ~ 'p$uFull'(plus('t$u139',n1))
| gt('fifo$ulength','int$ulevel'('t$u139'))
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'p$uRd'('t$u139') ),
inference(resolution,[status(thm)],[c46,c4]) ).
cnf(d9,plain,
( gt('fifo$ulength','fifo$ulength')
| 'p$uReset'('t$u139')
| ~ 'p$uFull'(plus('t$u139',n1))
| ~ 'p$uWr'('t$u139')
| 'p$uRd'('t$u139') ),
inference(demodulation,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( gt('fifo$ulength','fifo$ulength')
| 'p$uReset'('t$u139')
| ~ 'p$uFull'(plus('t$u139',n1))
| ~ 'p$uWr'('t$u139') ),
inference(resolution,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
( gt('fifo$ulength','fifo$ulength')
| 'p$uReset'('t$u139')
| ~ 'p$uFull'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[c1,d10]) ).
cnf(d12,plain,
( gt('fifo$ulength','fifo$ulength')
| ~ 'p$uFull'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[c3,d11]) ).
cnf(d13,plain,
~ 'p$uFull'(plus('t$u139',n1)),
inference(resolution,[status(thm)],[c21,d12]) ).
cnf(d14,plain,
'fifo$ulength' != 'fifo$ulength',
inference(resolution,[status(thm)],[d13,d7]) ).
cnf(d15,plain,
$false,
inference(equality_resolution,[status(thm)],[d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV018-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.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 : Fri Sep 25 16:04:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.80/3.36 % SZS status Unsatisfiable for theBenchmark.p
% 13.80/3.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------