%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV017-2 : 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 : n001.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 93.19s 13.43s
% Output : CNFRefutation 93.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of clauses : 58 ( 25 unt; 24 nHn; 35 RR)
% Number of literals : 128 ( 58 equ; 26 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206'),'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength') ).
cnf(quest_2,negated_conjecture,
~ 'p$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$u206')) ).
cnf(quest_5,negated_conjecture,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('f$uADD'('t$u206',n1))) ).
cnf(quest_6,negated_conjecture,
~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',n0) ).
cnf(axiom_5,axiom,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ).
cnf(axiom_7,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ) ).
cnf(axiom_43,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)) = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n1) ) ).
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$ulevel'(X0) ) ).
cnf(axiom_61,axiom,
( 'p$uLES$uEQU'(X0,n0)
| ~ 'p$uLES$uEQU'(X0,'f$uSUB'(X0,n1)) ) ).
cnf(axiom_73,axiom,
( X0 = n0
| ~ 'p$uLES$uEQU'(X0,n0) ) ).
cnf(axiom_75,axiom,
'p$uLES$uEQU'(X0,X0) ).
cnf(axiom_83,axiom,
'f$u$uindex'('f$u$uothers'(X0),X1) = X0 ).
cnf(axiom_84,axiom,
( 'f$u$uindex'('f$u$ucons'(X1,X2),X0) = X1
| X0 != n0 ) ).
cnf(axiom_85,axiom,
( 'f$u$uindex'('f$u$ucons'(X1,X2),X0) = 'f$u$uindex'(X2,'f$uSUB'(X0,n1))
| 'p$uLES$uEQU'(X0,n0) ) ).
cnf(axiom_98,axiom,
'f$u$ufalse' != 'f$u$utrue' ).
cnf(c0,plain,
'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206'),'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'),
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,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('f$uADD'('t$u206',n1))),
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c5,plain,
~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',n0),
inference(clausification,[status(esa)],[quest_6]) ).
cnf(c9,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c11,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c47,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(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$uDOTwr'(X0))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n1) ),
inference(clausification,[status(esa)],[axiom_43]) ).
cnf(c51,plain,
( 'fwork$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(c65,plain,
( 'p$uLES$uEQU'(X0,n0)
| ~ 'p$uLES$uEQU'(X0,'f$uSUB'(X0,n1)) ),
inference(clausification,[status(esa)],[axiom_61]) ).
cnf(c77,plain,
( X0 = n0
| ~ 'p$uLES$uEQU'(X0,n0) ),
inference(clausification,[status(esa)],[axiom_73]) ).
cnf(c79,plain,
'p$uLES$uEQU'(X0,X0),
inference(clausification,[status(esa)],[axiom_75]) ).
cnf(c87,plain,
'f$u$uindex'('f$u$uothers'(X0),X1) = X0,
inference(clausification,[status(esa)],[axiom_83]) ).
cnf(c88,plain,
( 'f$u$uindex'('f$u$ucons'(X1,X2),X0) = X1
| X0 != n0 ),
inference(clausification,[status(esa)],[axiom_84]) ).
cnf(c89,plain,
( 'f$u$uindex'('f$u$ucons'(X1,X2),X0) = 'f$u$uindex'(X2,'f$uSUB'(X0,n1))
| 'p$uLES$uEQU'(X0,n0) ),
inference(clausification,[status(esa)],[axiom_85]) ).
cnf(c102,plain,
'f$u$ufalse' != 'f$u$utrue',
inference(clausification,[status(esa)],[axiom_98]) ).
cnf(d0,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',
inference(resolution,[status(thm)],[c11,c4]) ).
cnf(d1,plain,
( '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))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n1) ),
inference(resolution,[status(thm)],[c47,c77]) ).
cnf(d2,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$u206',n1)) = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0 ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0 ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0 ),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1) ),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0
| 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength') ),
inference(superposition,[status(thm)],[d5,c65]) ).
cnf(d7,plain,
'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'),
inference(demodulation,[status(thm)],[c0,c9]) ).
cnf(d8,plain,
( 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n0)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0 ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0 ),
inference(resolution,[status(thm)],[d8,c77]) ).
cnf(d10,plain,
'f$u$uindex'('f$u$ucons'(X0,X1),n0) = X0,
inference(equality_resolution,[status(thm)],[c88]) ).
cnf(d11,plain,
( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X2))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X2))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X2))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X2,n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X2)
| 'f$u$uindex'('f$u$ucons'(X0,X1),'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X2)) = 'f$u$uindex'(X1,'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X2),n1)) ),
inference(resolution,[status(thm)],[c89,c51]) ).
cnf(d12,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'f$u$uindex'('f$u$ucons'(X0,X1),'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206')) = 'f$u$uindex'(X1,'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') ),
inference(resolution,[status(thm)],[d11,c3]) ).
cnf(d13,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'f$u$uindex'('f$u$ucons'(X0,X1),'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206')) = 'f$u$uindex'(X1,'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') ),
inference(demodulation,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'f$u$uindex'('f$u$ucons'(X0,X1),'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206')) = 'f$u$uindex'(X1,'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = n0 ),
inference(demodulation,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'f$u$uindex'('f$u$ucons'(X0,X1),n0) = 'f$u$uindex'(X1,'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = n0 ),
inference(demodulation,[status(thm)],[d14,d9]) ).
cnf(d16,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| X0 = 'f$u$uindex'(X1,'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = n0 ),
inference(demodulation,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| X0 = 'f$u$uindex'(X1,'f$uSUB'(n0,n1))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = n0 ),
inference(demodulation,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| X0 = 'f$u$uindex'(X1,'f$uSUB'(n0,n1))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = n0 ),
inference(resolution,[status(thm)],[c1,d17]) ).
cnf(d19,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = n0
| X0 = 'f$u$uindex'(X1,'f$uSUB'(n0,n1)) ),
inference(resolution,[status(thm)],[c2,d18]) ).
cnf(d20,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' = n0
| X1 = X0 ),
inference(superposition,[status(thm)],[d19,c87]) ).
cnf(d21,plain,
( X0 = X1
| ~ 'p$uLES$uEQU'(n0,n0) ),
inference(superposition,[status(thm)],[d20,c5]) ).
cnf(d22,plain,
X0 = X1,
inference(resolution,[status(thm)],[c79,d21]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[d22,c102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV017-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n001.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Fri Sep 25 16:06:55 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.54 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.19/13.43 % SZS status Unsatisfiable for theBenchmark.p
% 93.19/13.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------