%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM463+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 : n015.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 08:12:48 AM UTC 2026
% Result : Theorem 18.38s 2.80s
% Output : CNFRefutation 18.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 120 ( 57 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 119 ( 42 ~; 55 |; 14 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 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 : 19 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC,axiom,
aNaturalNumber0(sz00) ).
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ) ).
fof(m_MulUnit,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ) ).
fof(m_MulZero,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ) ).
fof(mLERefl,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ) ).
fof(mMonMul,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ) ).
fof(mLENTr,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ) ) ).
fof(m__987,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ) ).
fof(m__,conjecture,
( xm != sz00
=> ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
& aNaturalNumber0(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( xm != sz00
=> ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
& aNaturalNumber0(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c0,plain,
aNaturalNumber0(sz00),
inference(clausification,[status(esa)],[mSortsC]) ).
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(c14,plain,
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_MulZero]) ).
cnf(c30,plain,
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mLERefl]) ).
cnf(c40,plain,
( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X2)
| X2 = sz00
| X1 = X0
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mMonMul]) ).
cnf(c44,plain,
( sdtlseqdt0(sz10,X0)
| X0 = sz10
| X0 = sz00
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mLENTr]) ).
cnf(c45,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__987]) ).
cnf(c46,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__987]) ).
cnf(c47,plain,
xm != sz00,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c49,plain,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sz00 = sdtasdt0(sz00,xm),
inference(resolution,[status(thm)],[c14,c45]) ).
cnf(d1,plain,
sdtasdt0(xn,sz10) = xn,
inference(resolution,[status(thm)],[c11,c46]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| sz10 = X0
| xn = sz00
| sdtlseqdt0(xn,sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[d1,c40]) ).
cnf(d3,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| xn = sz00
| sz10 = X0 ),
inference(resolution,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| xn = sz00
| sz10 = X0 ),
inference(resolution,[status(thm)],[c46,d3]) ).
cnf(d5,plain,
( ~ sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(xm)
| xn = sz00
| sz10 = xm ),
inference(resolution,[status(thm)],[d4,c49]) ).
cnf(d6,plain,
( ~ sdtlseqdt0(sz10,xm)
| xn = sz00
| sz10 = xm ),
inference(resolution,[status(thm)],[c45,d5]) ).
cnf(d7,plain,
( ~ aNaturalNumber0(xm)
| xm = sz10
| xm = sz00
| xn = sz00
| sz10 = xm ),
inference(resolution,[status(thm)],[d6,c44]) ).
cnf(d8,plain,
( ~ aNaturalNumber0(xm)
| xn = sz00
| xm = sz10
| sz10 = xm ),
inference(resolution,[status(thm)],[c47,d7]) ).
cnf(d9,plain,
( xn = sz00
| xm = sz10
| sz10 = xm ),
inference(resolution,[status(thm)],[c45,d8]) ).
cnf(d10,plain,
( xn = sz00
| sz10 = xm
| xn = sz00
| sz10 = xm
| ~ sdtlseqdt0(sz10,sz10) ),
inference(superposition,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( ~ aNaturalNumber0(sz10)
| xn = sz00
| sz10 = xm ),
inference(resolution,[status(thm)],[d10,c30]) ).
cnf(d12,plain,
( xn = sz00
| sz10 = xm ),
inference(resolution,[status(thm)],[c1,d11]) ).
cnf(d13,plain,
( xn = sz00
| ~ sdtlseqdt0(xn,sdtasdt0(xn,sz10)) ),
inference(superposition,[status(thm)],[d12,c49]) ).
cnf(d14,plain,
( ~ sdtlseqdt0(xn,xn)
| xn = sz00 ),
inference(demodulation,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
( ~ aNaturalNumber0(xn)
| xn = sz00 ),
inference(resolution,[status(thm)],[d14,c30]) ).
cnf(d16,plain,
xn = sz00,
inference(resolution,[status(thm)],[c46,d15]) ).
cnf(d17,plain,
~ sdtlseqdt0(sz00,sdtasdt0(xn,xm)),
inference(demodulation,[status(thm)],[c49,d16]) ).
cnf(d18,plain,
~ sdtlseqdt0(sz00,sdtasdt0(sz00,xm)),
inference(demodulation,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
~ sdtlseqdt0(sz00,sz00),
inference(demodulation,[status(thm)],[d18,d0]) ).
cnf(d20,plain,
~ aNaturalNumber0(sz00),
inference(resolution,[status(thm)],[d19,c30]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[c0,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM463+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
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 02:54:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.38/2.80 % SZS status Theorem for theBenchmark.p
% 18.38/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------