%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV027-2 : 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 : 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 07:32:58 AM UTC 2026
% Result : Unsatisfiable 20.42s 3.58s
% Output : CNFRefutation 20.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 15 unt; 4 nHn; 15 RR)
% Number of literals : 28 ( 12 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ).
cnf(quest_2,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ).
cnf(quest_3,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')) ).
cnf(quest_4,negated_conjecture,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') != 'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('f$uADD'('t$u206',n1)) ).
cnf(axiom_5,axiom,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ).
cnf(axiom_51,axiom,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ) ).
cnf(c0,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c3,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') != 'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('f$uADD'('t$u206',n1)),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c7,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c53,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ),
inference(clausification,[status(esa)],[axiom_51]) ).
cnf(d0,plain,
( '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$u206') ),
inference(resolution,[status(thm)],[c53,c2]) ).
cnf(d1,plain,
( 'p$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)],[c0,d0]) ).
cnf(d2,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') != 'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('f$uADD'('t$u206',n1)),
inference(demodulation,[status(thm)],[c3,c7]) ).
cnf(d4,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') != 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)),
inference(demodulation,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') != 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),
inference(demodulation,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV027-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.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 16:04:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.42/3.58 % SZS status Unsatisfiable for theBenchmark.p
% 20.42/3.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------