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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWW967+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 09:12:36 AM UTC 2026

% Result   : Theorem 43.04s 6.87s
% Output   : CNFRefutation 43.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  141 (  67   ~;  61   |;   7   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :   73 (  44 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax83,axiom,
    ! [X0,X1] : 'pred$ueq$ubitstring$ubitstring'(X0,X1) ).

fof(ax90,axiom,
    'pred$uattacker'('tuple$utrue') ).

fof(ax109,axiom,
    ! [X0] :
      ( 'pred$uattacker'('tuple$uclient$uA$uout$u9'(X0))
     => 'pred$uattacker'(X0) ) ).

fof(ax120,axiom,
    ! [X0] :
      ( 'pred$uattacker'(X0)
     => 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X0)) ) ).

fof(ax122,axiom,
    ! [X0] :
      ( 'pred$uattacker'(X0)
     => 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X0)) ) ).

fof(ax124,axiom,
    ! [X0] :
      ( 'pred$uattacker'(X0)
     => 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X0)) ) ).

fof(ax126,axiom,
    ! [X0] :
      ( 'pred$uattacker'(X0)
     => 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0)) ) ).

fof(ax162,axiom,
    'pred$uattacker'('name$uI') ).

fof(ax171,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X2))
        & 'pred$ueq$ubitstring$ubitstring'('name$uNa'(X0),'constr$utuple$u4$uget$u0x30'('constr$ucbc$udec$u4'(X2,'name$uKas')))
        & 'pred$ueq$ubitstring$ubitstring'('name$uB','constr$utuple$u4$uget$u1'('constr$ucbc$udec$u4'(X2,'name$uKas')))
        & 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X3))
        & 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X1))
        & 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u1'('constr$ucbc$udec$u2'(X1,'name$uKas')))
        & 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X4))
        & 'pred$ueq$ubitstring$ubitstring'('tuple$usucc'('name$uNa0x27'(X3,X2,X0)),'constr$ucbc$udec$u1'(X4,'constr$utuple$u2$uget$u0x30$ubitstring'('constr$ucbc$udec$u2'(X1,'name$uKas')))) )
     => 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective')) ) ).

fof(co0,conjecture,
    'pred$uattacker'('name$uobjective') ).

fof(negated_conjecture,negated_conjecture,
    ~ 'pred$uattacker'('name$uobjective'),
    inference(negate_conjecture,[status(cth)],[co0]) ).

cnf(c83,plain,
    'pred$ueq$ubitstring$ubitstring'(X0,X1),
    inference(clausification,[status(esa)],[ax83]) ).

cnf(c90,plain,
    'pred$uattacker'('tuple$utrue'),
    inference(clausification,[status(esa)],[ax90]) ).

cnf(c109,plain,
    ( 'pred$uattacker'(X0)
    | ~ 'pred$uattacker'('tuple$uclient$uA$uout$u9'(X0)) ),
    inference(clausification,[status(esa)],[ax109]) ).

cnf(c120,plain,
    ( 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X0))
    | ~ 'pred$uattacker'(X0) ),
    inference(clausification,[status(esa)],[ax120]) ).

cnf(c122,plain,
    ( 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X0))
    | ~ 'pred$uattacker'(X0) ),
    inference(clausification,[status(esa)],[ax122]) ).

cnf(c124,plain,
    ( 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X0))
    | ~ 'pred$uattacker'(X0) ),
    inference(clausification,[status(esa)],[ax124]) ).

cnf(c126,plain,
    ( 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0))
    | ~ 'pred$uattacker'(X0) ),
    inference(clausification,[status(esa)],[ax126]) ).

cnf(c162,plain,
    'pred$uattacker'('name$uI'),
    inference(clausification,[status(esa)],[ax162]) ).

cnf(c171,plain,
    ( ~ 'pred$ueq$ubitstring$ubitstring'('name$uB','constr$utuple$u4$uget$u1'('constr$ucbc$udec$u4'(X2,'name$uKas')))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X2))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X4))
    | ~ 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u1'('constr$ucbc$udec$u2'(X3,'name$uKas')))
    | ~ 'pred$ueq$ubitstring$ubitstring'('tuple$usucc'('name$uNa0x27'(X4,X2,X1)),'constr$ucbc$udec$u1'(X0,'constr$utuple$u2$uget$u0x30$ubitstring'('constr$ucbc$udec$u2'(X3,'name$uKas'))))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X3))
    | ~ 'pred$ueq$ubitstring$ubitstring'('name$uNa'(X1),'constr$utuple$u4$uget$u0x30'('constr$ucbc$udec$u4'(X2,'name$uKas')))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective'))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X0)) ),
    inference(clausification,[status(esa)],[ax171]) ).

cnf(c174,plain,
    ~ 'pred$uattacker'('name$uobjective'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X1))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X4))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X3))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective'))
    | ~ 'pred$ueq$ubitstring$ubitstring'('name$uNa'(X2),'constr$utuple$u4$uget$u0x30'('constr$ucbc$udec$u4'(X0,'name$uKas')))
    | ~ 'pred$ueq$ubitstring$ubitstring'('tuple$usucc'('name$uNa0x27'(X1,X0,X2)),'constr$ucbc$udec$u1'(X3,'constr$utuple$u2$uget$u0x30$ubitstring'('constr$ucbc$udec$u2'(X4,'name$uKas'))))
    | ~ 'pred$ueq$ubitstring$ubitstring'('name$uB','constr$utuple$u4$uget$u1'('constr$ucbc$udec$u4'(X0,'name$uKas'))) ),
    inference(resolution,[status(thm)],[c83,c171]) ).

cnf(d1,plain,
    ( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X4))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X3))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X2))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective'))
    | ~ 'pred$ueq$ubitstring$ubitstring'('name$uNa'(X1),'constr$utuple$u4$uget$u0x30'('constr$ucbc$udec$u4'(X0,'name$uKas')))
    | ~ 'pred$ueq$ubitstring$ubitstring'('name$uB','constr$utuple$u4$uget$u1'('constr$ucbc$udec$u4'(X0,'name$uKas'))) ),
    inference(resolution,[status(thm)],[d0,c83]) ).

cnf(d2,plain,
    ( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X1))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X4))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X3))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X2))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective'))
    | ~ 'pred$ueq$ubitstring$ubitstring'('name$uNa'(X0),'constr$utuple$u4$uget$u0x30'('constr$ucbc$udec$u4'(X1,'name$uKas'))) ),
    inference(resolution,[status(thm)],[c83,d1]) ).

cnf(d3,plain,
    ( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X3))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X2))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X1))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X0))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective')) ),
    inference(resolution,[status(thm)],[d2,c83]) ).

cnf(d4,plain,
    ( ~ 'pred$uattacker'(X3)
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X2))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X1))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X0))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective')) ),
    inference(resolution,[status(thm)],[d3,c126]) ).

cnf(d5,plain,
    ( ~ 'pred$uattacker'(X3)
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u6'(X2))
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X1))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective'))
    | ~ 'pred$uattacker'(X0) ),
    inference(resolution,[status(thm)],[d4,c124]) ).

cnf(d6,plain,
    ( ~ 'pred$uattacker'(X3)
    | ~ 'pred$uattacker'('tuple$uclient$uA$uin$u8'(X2))
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective'))
    | ~ 'pred$uattacker'(X1)
    | ~ 'pred$uattacker'(X0) ),
    inference(resolution,[status(thm)],[d5,c122]) ).

cnf(d7,plain,
    ( ~ 'pred$uattacker'(X3)
    | 'pred$uattacker'('tuple$uclient$uA$uout$u9'('name$uobjective'))
    | ~ 'pred$uattacker'(X2)
    | ~ 'pred$uattacker'(X1)
    | ~ 'pred$uattacker'(X0) ),
    inference(resolution,[status(thm)],[d6,c120]) ).

cnf(d8,plain,
    ( 'pred$uattacker'('name$uobjective')
    | ~ 'pred$uattacker'(X3)
    | ~ 'pred$uattacker'(X2)
    | ~ 'pred$uattacker'(X1)
    | ~ 'pred$uattacker'(X0) ),
    inference(resolution,[status(thm)],[d7,c109]) ).

cnf(d9,plain,
    ( ~ 'pred$uattacker'(X3)
    | ~ 'pred$uattacker'(X2)
    | ~ 'pred$uattacker'(X1)
    | ~ 'pred$uattacker'(X0) ),
    inference(resolution,[status(thm)],[c174,d8]) ).

cnf(d10,plain,
    ( ~ 'pred$uattacker'(X2)
    | ~ 'pred$uattacker'(X1)
    | ~ 'pred$uattacker'(X0) ),
    inference(resolution,[status(thm)],[d9,c162]) ).

cnf(d11,plain,
    ( ~ 'pred$uattacker'(X1)
    | ~ 'pred$uattacker'(X0) ),
    inference(resolution,[status(thm)],[d10,c162]) ).

cnf(d12,plain,
    ~ 'pred$uattacker'(X0),
    inference(resolution,[status(thm)],[d11,c162]) ).

cnf(d13,plain,
    $false,
    inference(resolution,[status(thm)],[d12,c90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWW967+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43  % Computer : n011.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Sat Sep 26 16:39:14 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.04/6.87  % SZS status Theorem for theBenchmark.p
% 43.04/6.87  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------