%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM482+1 : 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 : n010.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 08:12:53 AM UTC 2026
% Result : Theorem 20.18s 3.22s
% Output : CNFRefutation 20.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 8 unt; 1 def)
% Number of atoms : 52 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 23 ~; 18 |; 8 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ) ).
fof(m_MulUnit,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ) ).
fof(mDefDiv,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ).
fof(m__1716,hypothesis,
aNaturalNumber0(xk) ).
fof(m__,conjecture,
( isPrime0(xk)
=> ? [X0] :
( isPrime0(X0)
& doDivides0(X0,xk)
& aNaturalNumber0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( isPrime0(xk)
=> ? [X0] :
( isPrime0(X0)
& doDivides0(X0,xk)
& aNaturalNumber0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c1,plain,
aNaturalNumber0(sz10),
inference(clausification,[status(esa)],[mSortsC_01]) ).
cnf(c11,plain,
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_MulUnit]) ).
cnf(c49,plain,
( X1 != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefDiv]) ).
cnf(c67,plain,
aNaturalNumber0(xk),
inference(clausification,[status(esa)],[m__1716]) ).
cnf(c73,plain,
isPrime0(xk),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c74,plain,
( ~ isPrime0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtasdt0(xk,sz10) = xk,
inference(resolution,[status(thm)],[c11,c67]) ).
cnf(d1,plain,
( doDivides0(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| X0 != xk ),
inference(superposition,[status(thm)],[d0,c49]) ).
cnf(d2,plain,
( doDivides0(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| X0 != xk ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( doDivides0(xk,X0)
| ~ aNaturalNumber0(X0)
| X0 != xk ),
inference(resolution,[status(thm)],[c67,d2]) ).
cnf(d4,plain,
( doDivides0(xk,xk)
| ~ aNaturalNumber0(xk) ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
doDivides0(xk,xk),
inference(resolution,[status(thm)],[c67,d4]) ).
cnf(d6,plain,
( ~ isPrime0(xk)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[status(thm)],[d5,c74]) ).
cnf(d7,plain,
~ aNaturalNumber0(xk),
inference(resolution,[status(thm)],[c73,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c67,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM482+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 02:56:14 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.18/3.22 % SZS status Theorem for theBenchmark.p
% 20.18/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------