%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM460+2 : 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 : n014.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 08:12:48 AM UTC 2026
% Result : Theorem 10.80s 2.55s
% Output : CNFRefutation 10.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 58 ( 17 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 53 ( 18 ~; 14 |; 17 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 5 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ) ).
fof(mAddAsso,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ).
fof(m__773,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xn)
& aNaturalNumber0(xm) ) ).
fof(m__,conjecture,
( ( sdtlseqdt0(xn,xl)
& ? [X0] :
( sdtpldt0(xn,X0) = xl
& aNaturalNumber0(X0) )
& sdtlseqdt0(xm,xn)
& ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) )
=> ( sdtlseqdt0(xm,xl)
| ? [X0] :
( sdtpldt0(xm,X0) = xl
& aNaturalNumber0(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( sdtlseqdt0(xn,xl)
& ? [X0] :
( sdtpldt0(xn,X0) = xl
& aNaturalNumber0(X0) )
& sdtlseqdt0(xm,xn)
& ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) )
=> ( sdtlseqdt0(xm,xl)
| ? [X0] :
( sdtpldt0(xm,X0) = xl
& aNaturalNumber0(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c3,plain,
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mSortsB]) ).
cnf(c6,plain,
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mAddAsso]) ).
cnf(c32,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__773]) ).
cnf(c35,plain,
aNaturalNumber0(sK41),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c36,plain,
sdtpldt0(xm,sK41) = xn,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c38,plain,
aNaturalNumber0(sK42),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c39,plain,
sdtpldt0(xn,sK42) = xl,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
( sdtpldt0(xm,X0) != xl
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,sK41),X1) = sdtpldt0(X0,sdtpldt0(sK41,X1)) ),
inference(resolution,[status(thm)],[c6,c35]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xm,sK41),X0) = sdtpldt0(xm,sdtpldt0(sK41,X0)) ),
inference(resolution,[status(thm)],[d0,c32]) ).
cnf(d2,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(xm,sdtpldt0(sK41,X0)) ),
inference(demodulation,[status(thm)],[d1,c36]) ).
cnf(d3,plain,
sdtpldt0(xn,sK42) = sdtpldt0(xm,sdtpldt0(sK41,sK42)),
inference(resolution,[status(thm)],[d2,c38]) ).
cnf(d4,plain,
xl = sdtpldt0(xm,sdtpldt0(sK41,sK42)),
inference(demodulation,[status(thm)],[d3,c39]) ).
cnf(d5,plain,
( ~ aNaturalNumber0(sdtpldt0(sK41,sK42))
| xl != xl ),
inference(superposition,[status(thm)],[d4,c41]) ).
cnf(d6,plain,
~ aNaturalNumber0(sdtpldt0(sK41,sK42)),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
( ~ aNaturalNumber0(sK41)
| ~ aNaturalNumber0(sK42) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
~ aNaturalNumber0(sK42),
inference(resolution,[status(thm)],[c35,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c38,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM460+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 02:50:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.80/2.55 % SZS status Theorem for theBenchmark.p
% 10.80/2.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------