%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM479+1 : 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 08:12:52 AM UTC 2026
% Result : Theorem 101.90s 15.11s
% Output : CNFRefutation 101.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 12 unt; 2 def)
% Number of atoms : 196 ( 43 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 275 ( 134 ~; 117 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB_02,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ) ).
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(mDefDiv,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ).
fof(mDefQuot,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ) ).
fof(mDivTrans,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ) ).
fof(m__1524,hypothesis,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl) ) ).
fof(m__1524_04,hypothesis,
( doDivides0(xl,xm)
& xl != sz00 ) ).
fof(m__1553,hypothesis,
aNaturalNumber0(xn) ).
fof(m__,conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ).
fof(negated_conjecture,negated_conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c4,plain,
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mSortsB_02]) ).
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(c49,plain,
( X1 != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefDiv]) ).
cnf(c50,plain,
( X0 = sz00
| ~ doDivides0(X0,X1)
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefQuot]) ).
cnf(c51,plain,
( X0 = sz00
| ~ doDivides0(X0,X1)
| X1 = sdtasdt0(X0,X2)
| X2 != sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefQuot]) ).
cnf(c53,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(clausification,[status(esa)],[mDivTrans]) ).
cnf(c57,plain,
aNaturalNumber0(xl),
inference(clausification,[status(esa)],[m__1524]) ).
cnf(c58,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__1524]) ).
cnf(c59,plain,
xl != sz00,
inference(clausification,[status(esa)],[m__1524_04]) ).
cnf(c60,plain,
doDivides0(xl,xm),
inference(clausification,[status(esa)],[m__1524_04]) ).
cnf(c61,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1553]) ).
cnf(c62,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| X0 = sz00 ),
inference(equality_resolution,[status(thm)],[c50]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X1,X0) ),
inference(superposition,[status(thm)],[c9,c49]) ).
cnf(d2,plain,
( doDivides0(X1,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X0,sdtasdt0(X2,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[status(thm)],[c53,d2]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X1,X0),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c9,c10]) ).
cnf(d5,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(superposition,[status(thm)],[d4,c62]) ).
cnf(d6,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(resolution,[status(thm)],[c57,d5]) ).
cnf(d7,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(resolution,[status(thm)],[c61,d6]) ).
cnf(d8,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = sdtasdt0(X0,sdtsldt0(X1,X0))
| X0 = sz00 ),
inference(equality_resolution,[status(thm)],[c51]) ).
cnf(d9,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| xl = sz00
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtasdt0(xn,xm) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(superposition,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| xl = sz00
| sdtasdt0(xn,xm) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(resolution,[status(thm)],[c57,d9]) ).
cnf(d11,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| xl = sz00
| sdtasdt0(xn,xm) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(resolution,[status(thm)],[c58,d10]) ).
cnf(d12,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtasdt0(xn,xm) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(resolution,[status(thm)],[c59,d11]) ).
cnf(d13,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtasdt0(xn,xm) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(resolution,[status(thm)],[c60,d12]) ).
cnf(d14,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xl = sz00
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtasdt0(xn,xm) != sdtasdt0(xn,xm) ),
inference(superposition,[status(thm)],[d8,d13]) ).
cnf(d15,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xl = sz00
| sdtasdt0(xn,xm) != sdtasdt0(xn,xm) ),
inference(resolution,[status(thm)],[c57,d14]) ).
cnf(d16,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) != sdtasdt0(xn,xm) ),
inference(resolution,[status(thm)],[c59,d15]) ).
cnf(d17,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[d17,d3]) ).
cnf(d19,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c57,d18]) ).
cnf(d20,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c58,d19]) ).
cnf(d21,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c61,d20]) ).
cnf(d22,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c60,d21]) ).
cnf(d23,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| xl = sz00
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[d22,d0]) ).
cnf(d24,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xl = sz00 ),
inference(resolution,[status(thm)],[c57,d23]) ).
cnf(d25,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| xl = sz00 ),
inference(resolution,[status(thm)],[c58,d24]) ).
cnf(d26,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c59,d25]) ).
cnf(d27,plain,
~ aNaturalNumber0(sdtasdt0(xn,xm)),
inference(resolution,[status(thm)],[c60,d26]) ).
cnf(d28,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[d27,c4]) ).
cnf(d29,plain,
~ aNaturalNumber0(xn),
inference(resolution,[status(thm)],[c58,d28]) ).
cnf(d30,plain,
$false,
inference(resolution,[status(thm)],[c61,d29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM479+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n006.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 02:54:40 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.90/15.11 % SZS status Theorem for theBenchmark.p
% 101.90/15.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------