%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM514+3 : TPTP v9.3.1. Released v4.0.0.
% 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 08:12:59 AM UTC 2026
% Result : Theorem 26.47s 3.85s
% Output : CNFRefutation 26.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 40 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 33 ( 11 ~; 8 |; 11 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMulComm,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ) ).
fof(m__2613,hypothesis,
( sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) ) ).
fof(m__,conjecture,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c9,plain,
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mMulComm]) ).
cnf(c71,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c157,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(clausification,[status(esa)],[m__2613]) ).
cnf(c161,plain,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
inference(clausification,[status(esa)],[m__2613]) ).
cnf(c162,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
( sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtasdt0(sdtsldt0(xn,xr),X0) ),
inference(resolution,[status(thm)],[c9,c162]) ).
cnf(d1,plain,
sdtasdt0(xm,sdtsldt0(xn,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
inference(resolution,[status(thm)],[c71,d0]) ).
cnf(d2,plain,
sdtasdt0(xm,sdtsldt0(xn,xr)) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(demodulation,[status(thm)],[d1,c161]) ).
cnf(d3,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,sdtsldt0(xn,xr)) != sdtasdt0(xp,X0) ),
inference(demodulation,[status(thm)],[c164,d1]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xp,X0) ),
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c157,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM514+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n019.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 03:04:36 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.47/3.85 % SZS status Theorem for theBenchmark.p
% 26.47/3.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------