%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM464+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 08:12:49 AM UTC 2026
% Result : Theorem 9.15s 2.61s
% Output : CNFRefutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 46 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 13 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC,axiom,
aNaturalNumber0(sz00) ).
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ) ).
fof(m_AddZero,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ) ).
fof(mLENTr,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ) ) ).
fof(m__987,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ) ).
fof(m__,conjecture,
( xm != sz00
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( sdtpldt0(sz10,X0) = xm
& aNaturalNumber0(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( xm != sz00
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( sdtpldt0(sz10,X0) = xm
& aNaturalNumber0(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c0,plain,
aNaturalNumber0(sz00),
inference(clausification,[status(esa)],[mSortsC]) ).
cnf(c1,plain,
aNaturalNumber0(sz10),
inference(clausification,[status(esa)],[mSortsC_01]) ).
cnf(c7,plain,
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_AddZero]) ).
cnf(c44,plain,
( sdtlseqdt0(sz10,X0)
| X0 = sz10
| X0 = sz00
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mLENTr]) ).
cnf(c45,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__987]) ).
cnf(c47,plain,
xm != sz00,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c48,plain,
( sdtpldt0(sz10,X0) != xm
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c49,plain,
~ sdtlseqdt0(sz10,xm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(xm)
| xm = sz10
| xm = sz00 ),
inference(resolution,[status(thm)],[c44,c49]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(xm)
| xm = sz10 ),
inference(resolution,[status(thm)],[c47,d0]) ).
cnf(d2,plain,
xm = sz10,
inference(resolution,[status(thm)],[c45,d1]) ).
cnf(d3,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(sz00)
| sz10 != xm ),
inference(superposition,[status(thm)],[d3,c48]) ).
cnf(d5,plain,
sz10 != xm,
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
sz10 != sz10,
inference(demodulation,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM464+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n013.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 02:50:44 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.15/2.61 % SZS status Theorem for theBenchmark.p
% 9.15/2.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------