%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV020-2 : 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 : n007.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 19.84s 2.87s
% Output : CNFRefutation 19.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 16 unt; 6 nHn; 26 RR)
% Number of literals : 55 ( 15 equ; 23 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')) ).
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$uDOTempty'('t$u206')) ).
cnf(quest_5,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('f$uADD'('t$u206',n1))) ).
cnf(axiom_8,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ) ).
cnf(axiom_9,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) = n0
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ) ).
cnf(axiom_47,axiom,
( 'p$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(axiom_75,axiom,
'p$uLES$uEQU'(X0,X0) ).
cnf(c0,plain,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')),
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$uDOTempty'('t$u206')),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c4,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('f$uADD'('t$u206',n1))),
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c11,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c12,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) = n0
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c50,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0)
| ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0)) ),
inference(clausification,[status(esa)],[axiom_47]) ).
cnf(c78,plain,
'p$uLES$uEQU'(X0,X0),
inference(clausification,[status(esa)],[axiom_75]) ).
cnf(d0,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0,
inference(resolution,[status(thm)],[c12,c3]) ).
cnf(d1,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| ~ '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$u206')
| ~ 'p$uLES$uEQU'(n0,n0) ),
inference(superposition,[status(thm)],[d0,c50]) ).
cnf(d2,plain,
( ~ 'p$uLES$uEQU'(n0,n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = n0 ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'p$uLES$uEQU'(n0,n0)
| '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$u206',n1)) = n0 ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
( ~ 'p$uLES$uEQU'(n0,n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = n0 ),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
( ~ 'p$uLES$uEQU'(n0,n0)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = n0 ),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = n0,
inference(resolution,[status(thm)],[c78,d5]) ).
cnf(d7,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('f$uADD'('t$u206',n1)))
| n0 != n0 ),
inference(superposition,[status(thm)],[d6,c11]) ).
cnf(d8,plain,
n0 != n0,
inference(resolution,[status(thm)],[c4,d7]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 15:59:23 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.84/2.87 % SZS status Unsatisfiable for theBenchmark.p
% 19.84/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------