%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM466+2 : 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 : n003.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 08:12:49 AM UTC 2026
% Result : Theorem 24.84s 3.82s
% Output : CNFRefutation 24.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 113 ( 37 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 117 ( 49 ~; 42 |; 20 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ) ).
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(m_MulUnit,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ) ).
fof(m__1218,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ) ).
fof(m__,conjecture,
( ( doDivides0(xm,xn)
& ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
=> ( doDivides0(xl,xn)
| ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( doDivides0(xm,xn)
& ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
=> ( doDivides0(xl,xn)
| ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c1,plain,
aNaturalNumber0(sz10),
inference(clausification,[status(esa)],[mSortsC_01]) ).
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(c11,plain,
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_MulUnit]) ).
cnf(c53,plain,
aNaturalNumber0(xl),
inference(clausification,[status(esa)],[m__1218]) ).
cnf(c54,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__1218]) ).
cnf(c55,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1218]) ).
cnf(c56,plain,
aNaturalNumber0(sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
xm = sdtasdt0(xl,sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c59,plain,
aNaturalNumber0(sK67),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c60,plain,
xn = sdtasdt0(xm,sK67),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c62,plain,
( xn != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK66)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(xl,sdtasdt0(sK66,X0)) ),
inference(superposition,[status(thm)],[c57,c10]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(xl,sdtasdt0(sK66,X0)) ),
inference(resolution,[status(thm)],[c56,d0]) ).
cnf(d2,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(xl,sdtasdt0(sK66,X0)) ),
inference(resolution,[status(thm)],[c53,d1]) ).
cnf(d3,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK66,X0))
| xn != sdtasdt0(xm,X0) ),
inference(superposition,[status(thm)],[d2,c62]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(sdtasdt0(sK66,sK67))
| ~ aNaturalNumber0(sK67)
| xn != xn ),
inference(superposition,[status(thm)],[c60,d3]) ).
cnf(d5,plain,
( ~ aNaturalNumber0(sdtasdt0(sK66,sK67))
| xn != xn ),
inference(resolution,[status(thm)],[c59,d4]) ).
cnf(d6,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK67)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(xm,sdtasdt0(sK67,X0)) ),
inference(superposition,[status(thm)],[c60,c10]) ).
cnf(d7,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(xm,sdtasdt0(sK67,X0)) ),
inference(resolution,[status(thm)],[c59,d6]) ).
cnf(d8,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(xm,sdtasdt0(sK67,X0)) ),
inference(resolution,[status(thm)],[c54,d7]) ).
cnf(d9,plain,
( ~ aNaturalNumber0(sK67)
| ~ aNaturalNumber0(sz10)
| sdtasdt0(xn,sz10) = sdtasdt0(xm,sK67) ),
inference(superposition,[status(thm)],[c11,d8]) ).
cnf(d10,plain,
( ~ aNaturalNumber0(sK67)
| ~ aNaturalNumber0(sz10)
| sdtasdt0(xn,sz10) = xn ),
inference(demodulation,[status(thm)],[d9,c60]) ).
cnf(d11,plain,
( ~ aNaturalNumber0(sz10)
| sdtasdt0(xn,sz10) = xn ),
inference(resolution,[status(thm)],[c59,d10]) ).
cnf(d12,plain,
sdtasdt0(xn,sz10) = xn,
inference(resolution,[status(thm)],[c1,d11]) ).
cnf(d13,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| sdtasdt0(sz10,xn) = xn ),
inference(superposition,[status(thm)],[d12,c9]) ).
cnf(d14,plain,
( ~ aNaturalNumber0(xn)
| sdtasdt0(sz10,xn) = xn ),
inference(resolution,[status(thm)],[c1,d13]) ).
cnf(d15,plain,
sdtasdt0(sz10,xn) = xn,
inference(resolution,[status(thm)],[c55,d14]) ).
cnf(d16,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| sdtasdt0(sz10,xn) = xn ),
inference(superposition,[status(thm)],[c9,d12]) ).
cnf(d17,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| xn = xn ),
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
( ~ aNaturalNumber0(xn)
| xn = xn ),
inference(resolution,[status(thm)],[c1,d17]) ).
cnf(d19,plain,
xn = xn,
inference(resolution,[status(thm)],[c55,d18]) ).
cnf(d20,plain,
~ aNaturalNumber0(sdtasdt0(sK66,sK67)),
inference(resolution,[status(thm)],[d19,d5]) ).
cnf(d21,plain,
( ~ aNaturalNumber0(sK66)
| ~ aNaturalNumber0(sK67) ),
inference(resolution,[status(thm)],[d20,c4]) ).
cnf(d22,plain,
~ aNaturalNumber0(sK67),
inference(resolution,[status(thm)],[c56,d21]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[c59,d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM466+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n003.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sat Sep 26 02:53:24 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.84/3.82 % SZS status Theorem for theBenchmark.p
% 24.84/3.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------