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LisaST---0.9.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : HWV012-2 : 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 : n019.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 07:32:54 AM UTC 2026

% Result   : Unsatisfiable 28.72s 4.14s
% Output   : CNFRefutation 28.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   24 (  13 unt;   5 nHn;  22 RR)
%            Number of literals    :   49 (   2 equ;  23 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 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$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTlevel'('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$uDOTwr$u$uerror'('f$uADD'('t$u206',n1))) ).

cnf(axiom_5,axiom,
    'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ).

cnf(axiom_13,axiom,
    ( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr$u$uerror'('f$uADD'(X0,n1))) ) ).

cnf(axiom_22,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$ulevel'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr$u$uerror'('f$uADD'(X0,n1))) ) ).

cnf(axiom_41,axiom,
    ( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr$u$uerror'('f$uADD'(X0,n1))) ) ).

cnf(c0,plain,
    ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTlevel'('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$uDOTwr$u$uerror'('f$uADD'('t$u206',n1))),
    inference(clausification,[status(esa)],[quest_3]) ).

cnf(c6,plain,
    'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),
    inference(clausification,[status(esa)],[axiom_5]) ).

cnf(c14,plain,
    ( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr$u$uerror'('f$uADD'(X0,n1))) ),
    inference(clausification,[status(esa)],[axiom_13]) ).

cnf(c23,plain,
    ( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
    | 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr$u$uerror'('f$uADD'(X0,n1)))
    | 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0)) ),
    inference(clausification,[status(esa)],[axiom_22]) ).

cnf(c42,plain,
    ( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr$u$uerror'('f$uADD'(X0,n1))) ),
    inference(clausification,[status(esa)],[axiom_41]) ).

cnf(d0,plain,
    ( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
    | 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ),
    inference(resolution,[status(thm)],[c42,c2]) ).

cnf(d1,plain,
    ( ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
    | 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ),
    inference(resolution,[status(thm)],[c1,d0]) ).

cnf(d2,plain,
    ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')),
    inference(resolution,[status(thm)],[c14,c2]) ).

cnf(d3,plain,
    ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')),
    inference(resolution,[status(thm)],[d2,d1]) ).

cnf(d4,plain,
    ( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
    | 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
    | ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
    | 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206')) ),
    inference(resolution,[status(thm)],[c23,c2]) ).

cnf(d5,plain,
    ( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
    | 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
    | 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206')) ),
    inference(resolution,[status(thm)],[c1,d4]) ).

cnf(d6,plain,
    ~ 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength','fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206')),
    inference(demodulation,[status(thm)],[c0,c6]) ).

cnf(d7,plain,
    ( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
    | 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ),
    inference(resolution,[status(thm)],[d6,d5]) ).

cnf(d8,plain,
    'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')),
    inference(resolution,[status(thm)],[d2,d7]) ).

cnf(d9,plain,
    $false,
    inference(resolution,[status(thm)],[d8,d3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : HWV012-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  % Computer : n019.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Fri Sep 25 16:01:20 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.45  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.72/4.14  % SZS status Unsatisfiable for theBenchmark.p
% 28.72/4.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------