%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM427+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 : n006.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 08:12:42 AM UTC 2026
% Result : Theorem 11.87s 7.05s
% Output : CNFRefutation 11.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 24 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 7 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 1 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mIntNeg,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ) ).
fof(m__747,hypothesis,
( sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xn) ) ).
fof(m__767,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)) ).
fof(m__,conjecture,
( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c2,plain,
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(clausification,[status(esa)],[mIntNeg]) ).
cnf(c40,plain,
aInteger0(xn),
inference(clausification,[status(esa)],[m__747]) ).
cnf(c42,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(clausification,[status(esa)],[m__767]) ).
cnf(c43,plain,
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtasdt0(xq,smndt0(xn)) ),
inference(demodulation,[status(thm)],[c43,c42]) ).
cnf(d1,plain,
~ aInteger0(smndt0(xn)),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
~ aInteger0(xn),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c40,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM427+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.40 % Computer : n006.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.15/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.40 % DateTime : Sat Sep 26 02:41:33 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.87/7.05 % SZS status Theorem for theBenchmark.p
% 11.87/7.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------