%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV015-2 : 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 : n013.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 18.23s 13.21s
% Output : CNFRefutation 18.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 17 unt; 4 nHn; 20 RR)
% Number of literals : 36 ( 12 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206'),n0) ).
cnf(quest_2,negated_conjecture,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ).
cnf(quest_3,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ).
cnf(quest_4,negated_conjecture,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')) ).
cnf(quest_5,negated_conjecture,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('f$uADD'('t$u206',n1)) != 'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') ).
cnf(axiom_5,axiom,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ).
cnf(axiom_31,axiom,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n0)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ) ).
cnf(c0,plain,
~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206'),n0),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c3,plain,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c4,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('f$uADD'('t$u206',n1)) != 'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206'),
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c8,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c34,plain,
( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n0)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0)) ),
inference(clausification,[status(esa)],[axiom_31]) ).
cnf(d0,plain,
~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0),
inference(demodulation,[status(thm)],[c0,c8]) ).
cnf(d1,plain,
( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') ),
inference(resolution,[status(thm)],[c34,d0]) ).
cnf(d2,plain,
( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),
inference(resolution,[status(thm)],[c3,d3]) ).
cnf(d5,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) != 'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206'),
inference(demodulation,[status(thm)],[c4,c8]) ).
cnf(d6,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) != 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),
inference(demodulation,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV015-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.78 % Computer : n013.cluster.edu
% 0.09/10.78 % Model : x86_64 x86_64
% 0.09/10.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.78 % Memory : 8046.5625MB
% 0.09/10.78 % OS : Linux 6.8.0-71-generic
% 0.09/10.78 % CPULimit : 300
% 0.09/10.78 % WCLimit : 300
% 0.09/10.78 % DateTime : Fri Sep 25 16:00:33 UTC 2026
% 0.09/10.79 % CPUTime :
% 0.09/10.79 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.23/13.21 % SZS status Unsatisfiable for theBenchmark.p
% 18.23/13.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------