%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM432+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 : n001.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 08:12:43 AM UTC 2026
% Result : Theorem 11.99s 7.04s
% Output : CNFRefutation 11.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 31 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 9 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mIntPlus,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ) ).
fof(m__876,hypothesis,
( sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xn) ) ).
fof(m__899,hypothesis,
( sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc))
& aInteger0(xm) ) ).
fof(m__924,hypothesis,
sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)) ).
fof(m__,conjecture,
( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xc))
& aInteger0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xc))
& aInteger0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c3,plain,
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(clausification,[status(esa)],[mIntPlus]) ).
cnf(c46,plain,
aInteger0(xn),
inference(clausification,[status(esa)],[m__876]) ).
cnf(c48,plain,
aInteger0(xm),
inference(clausification,[status(esa)],[m__899]) ).
cnf(c50,plain,
sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
inference(clausification,[status(esa)],[m__924]) ).
cnf(c51,plain,
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xc))
| ~ aInteger0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aInteger0(sdtpldt0(xn,xm))
| sdtpldt0(xa,smndt0(xc)) != sdtpldt0(xa,smndt0(xc)) ),
inference(superposition,[status(thm)],[c50,c51]) ).
cnf(d1,plain,
~ aInteger0(sdtpldt0(xn,xm)),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ aInteger0(xm)
| ~ aInteger0(xn) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
~ aInteger0(xm),
inference(resolution,[status(thm)],[c46,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c48,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM432+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
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 02:48:33 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.99/7.04 % SZS status Theorem for theBenchmark.p
% 11.99/7.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------