%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM423+3 : 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 : n016.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 08:12:41 AM UTC 2026
% Result : Theorem 12.09s 2.01s
% Output : CNFRefutation 12.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 35 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 11 ~; 9 |; 6 &)
% ( 0 <=>; 2 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mIntZero,axiom,
aInteger0(sz00) ).
fof(mAddNeg,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ) ).
fof(mMulZero,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ) ).
fof(m__671,hypothesis,
( xq != sz00
& aInteger0(xq)
& aInteger0(xa) ) ).
fof(m__,conjecture,
( sdteqdtlpzmzozddtrp0(xa,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa))
& aInteger0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xa,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa))
& aInteger0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c0,plain,
aInteger0(sz00),
inference(clausification,[status(esa)],[mIntZero]) ).
cnf(c9,plain,
( sdtpldt0(X0,smndt0(X0)) = sz00
| ~ aInteger0(X0) ),
inference(clausification,[status(esa)],[mAddNeg]) ).
cnf(c17,plain,
( sdtasdt0(X0,sz00) = sz00
| ~ aInteger0(X0) ),
inference(clausification,[status(esa)],[mMulZero]) ).
cnf(c31,plain,
aInteger0(xa),
inference(clausification,[status(esa)],[m__671]) ).
cnf(c32,plain,
aInteger0(xq),
inference(clausification,[status(esa)],[m__671]) ).
cnf(c34,plain,
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa))
| ~ aInteger0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(resolution,[status(thm)],[c9,c31]) ).
cnf(d1,plain,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sz00 ),
inference(demodulation,[status(thm)],[c34,d0]) ).
cnf(d2,plain,
sdtasdt0(xq,sz00) = sz00,
inference(resolution,[status(thm)],[c17,c32]) ).
cnf(d3,plain,
( ~ aInteger0(sz00)
| sz00 != sz00 ),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
sz00 != sz00,
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM423+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n016.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 02:45:30 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.09/2.01 % SZS status Theorem for theBenchmark.p
% 12.09/2.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------