%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV021-2 : 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 : n016.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 07:32:56 AM UTC 2026
% Result : Unsatisfiable 25.24s 4.12s
% Output : CNFRefutation 25.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 10 unt; 10 nHn; 28 RR)
% Number of literals : 64 ( 10 equ; 28 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd$u$uerror'('f$uADD'('t$u206',n1))) ).
cnf(quest_2,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ).
cnf(quest_3,negated_conjecture,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')) ).
cnf(quest_4,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('t$u206')) ).
cnf(axiom_8,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ) ).
cnf(axiom_34,axiom,
( 'p$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$ulevel'(X0),n0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd$u$uerror'('f$uADD'(X0,n1))) ) ).
cnf(axiom_46,axiom,
( 'p$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$ulevel'(X0),n0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd$u$uerror'('f$uADD'(X0,n1))) ) ).
cnf(axiom_73,axiom,
( X0 = n0
| ~ 'p$uLES$uEQU'(X0,n0) ) ).
cnf(c0,plain,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd$u$uerror'('f$uADD'('t$u206',n1))),
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,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('t$u206')),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c10,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c36,plain,
( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd$u$uerror'('f$uADD'(X0,n1)))
| 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0)) ),
inference(clausification,[status(esa)],[axiom_34]) ).
cnf(c48,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd$u$uerror'('f$uADD'(X0,n1)))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0)) ),
inference(clausification,[status(esa)],[axiom_46]) ).
cnf(c75,plain,
( X0 = n0
| ~ 'p$uLES$uEQU'(X0,n0) ),
inference(clausification,[status(esa)],[axiom_73]) ).
cnf(d0,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ),
inference(resolution,[status(thm)],[c36,c0]) ).
cnf(d1,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ),
inference(resolution,[status(thm)],[d2,c75]) ).
cnf(d4,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ),
inference(resolution,[status(thm)],[c48,c0]) ).
cnf(d5,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')) ),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ),
inference(resolution,[status(thm)],[d6,c75]) ).
cnf(d8,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0 ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('t$u206'))
| n0 != n0 ),
inference(superposition,[status(thm)],[d8,c10]) ).
cnf(d10,plain,
n0 != n0,
inference(resolution,[status(thm)],[c3,d9]) ).
cnf(d11,plain,
$false,
inference(equality_resolution,[status(thm)],[d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV021-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 16:06:44 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.24/4.12 % SZS status Unsatisfiable for theBenchmark.p
% 25.24/4.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------