%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV018-2 : 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 : n026.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 16.98s 3.31s
% Output : CNFRefutation 16.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 16 unt; 5 nHn; 26 RR)
% Number of literals : 55 ( 15 equ; 25 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$uDOTfull'('t$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$uDOTwr'('t$u206')) ).
cnf(quest_5,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('f$uADD'('t$u206',n1))) ).
cnf(axiom_6,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ) ).
cnf(axiom_7,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ) ).
cnf(axiom_23,axiom,
( 'p$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$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0))
| '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$uDOTrtl$uDOTfull'('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$uDOTrtl$uDOTwr'('t$u206')),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c4,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('f$uADD'('t$u206',n1))),
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c9,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c10,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c26,plain,
( ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| '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_23]) ).
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') = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',
inference(resolution,[status(thm)],[c10,c1]) ).
cnf(d1,plain,
( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('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'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength') ),
inference(superposition,[status(thm)],[d0,c26]) ).
cnf(d2,plain,
( ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength')
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength')
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
( ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength')
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' ),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength')
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' ),
inference(resolution,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',
inference(resolution,[status(thm)],[c78,d5]) ).
cnf(d7,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('f$uADD'('t$u206',n1)))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' ),
inference(superposition,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',
inference(resolution,[status(thm)],[c4,d7]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV018-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 16:04:09 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.98/3.31 % SZS status Unsatisfiable for theBenchmark.p
% 16.98/3.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------