%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM525+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 08:13:01 AM UTC 2026
% Result : Theorem 38.96s 25.73s
% Output : CNFRefutation 38.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 57 ( 30 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 45 ( 18 ~; 10 |; 15 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMulComm,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ).
fof(mMulAsso,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ) ).
fof(m__2987,hypothesis,
( xp != sz00
& xm != sz00
& xn != sz00
& aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ) ).
fof(m__3014,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn) ).
fof(m__3046,hypothesis,
( doDivides0(xp,xn)
& ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( sdtasdt0(xn,xn) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ).
fof(m__3059,hypothesis,
( xq = sdtsldt0(xn,xp)
& xn = sdtasdt0(xp,xq)
& aNaturalNumber0(xq) ) ).
fof(m__,conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) ).
fof(negated_conjecture,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c9,plain,
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mMulComm]) ).
cnf(c10,plain,
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mMulAsso]) ).
cnf(c71,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__2987]) ).
cnf(c73,plain,
aNaturalNumber0(xp),
inference(clausification,[status(esa)],[m__2987]) ).
cnf(c85,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(clausification,[status(esa)],[m__3014]) ).
cnf(c91,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK97),
inference(clausification,[status(esa)],[m__3046]) ).
cnf(c96,plain,
aNaturalNumber0(xq),
inference(clausification,[status(esa)],[m__3059]) ).
cnf(c97,plain,
xn = sdtasdt0(xp,xq),
inference(clausification,[status(esa)],[m__3059]) ).
cnf(c99,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xq) = sdtasdt0(xq,X0) ),
inference(resolution,[status(thm)],[c9,c96]) ).
cnf(d1,plain,
sdtasdt0(xn,xq) = sdtasdt0(xq,xn),
inference(resolution,[status(thm)],[d0,c71]) ).
cnf(d2,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(xp,X0),X1) = sdtasdt0(xp,sdtasdt0(X0,X1)) ),
inference(resolution,[status(thm)],[c10,c73]) ).
cnf(d3,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(resolution,[status(thm)],[d2,c96]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(demodulation,[status(thm)],[d3,c97]) ).
cnf(d5,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sdtasdt0(xq,xn)),
inference(resolution,[status(thm)],[d4,c71]) ).
cnf(d6,plain,
sdtasdt0(xp,sK97) = sdtasdt0(xp,sdtasdt0(xq,xn)),
inference(demodulation,[status(thm)],[d5,c91]) ).
cnf(d7,plain,
sdtasdt0(xp,sK97) = sdtasdt0(xp,sdtasdt0(xn,xq)),
inference(demodulation,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
sdtasdt0(xn,xq) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(resolution,[status(thm)],[d4,c96]) ).
cnf(d9,plain,
sdtasdt0(xn,xn) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(demodulation,[status(thm)],[c99,c85]) ).
cnf(d10,plain,
sdtasdt0(xp,sK97) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(demodulation,[status(thm)],[d9,c91]) ).
cnf(d11,plain,
sdtasdt0(xp,sK97) != sdtasdt0(xp,sdtasdt0(xn,xq)),
inference(demodulation,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM525+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/15.41 % Computer : n016.cluster.edu
% 0.13/15.41 % Model : x86_64 x86_64
% 0.13/15.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.41 % Memory : 8046.5625MB
% 0.13/15.41 % OS : Linux 6.8.0-71-generic
% 0.13/15.41 % CPULimit : 300
% 0.13/15.41 % WCLimit : 300
% 0.13/15.41 % DateTime : Sat Sep 26 03:11:45 UTC 2026
% 0.13/15.41 % CPUTime :
% 0.13/15.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.96/25.73 % SZS status Theorem for theBenchmark.p
% 38.96/25.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------