%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM524+3 : 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 : n010.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 47.88s 32.97s
% Output : CNFRefutation 47.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 110 ( 39 unt; 4 def)
% Number of atoms : 323 ( 138 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 369 ( 156 ~; 160 |; 31 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 25 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC,axiom,
aNaturalNumber0(sz00) ).
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ) ).
fof(mSortsB_02,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ) ).
fof(m_AddZero,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ) ).
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(mMulCanc,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ) ).
fof(mDefLE,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ).
fof(mDefDiff,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(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(mDivAsso,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ) ).
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(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)) ).
fof(negated_conjecture,negated_conjecture,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
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(c4,plain,
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mSortsB_02]) ).
cnf(c8,plain,
( X0 = sdtpldt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_AddZero]) ).
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(c19,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| X0 = sz00 ),
inference(clausification,[status(esa)],[mMulCanc]) ).
cnf(c26,plain,
( sdtpldt0(X2,X0) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefLE]) ).
cnf(c28,plain,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = X1
| X2 != sdtmndt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefDiff]) ).
cnf(c29,plain,
( ~ aNaturalNumber0(X2)
| X1 = sdtmndt0(X2,X0)
| sdtpldt0(X0,X1) != X2
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefDiff]) ).
cnf(c49,plain,
( X1 != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefDiv]) ).
cnf(c52,plain,
( X0 = sz00
| ~ doDivides0(X0,X1)
| X1 != sdtasdt0(X0,X2)
| X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefQuot]) ).
cnf(c57,plain,
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| X0 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1) ),
inference(clausification,[status(esa)],[mDivAsso]) ).
cnf(c71,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__2987]) ).
cnf(c72,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__2987]) ).
cnf(c73,plain,
aNaturalNumber0(xp),
inference(clausification,[status(esa)],[m__2987]) ).
cnf(c76,plain,
xp != sz00,
inference(clausification,[status(esa)],[m__2987]) ).
cnf(c85,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(clausification,[status(esa)],[m__3014]) ).
cnf(c90,plain,
aNaturalNumber0(sK97),
inference(clausification,[status(esa)],[m__3046]) ).
cnf(c91,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK97),
inference(clausification,[status(esa)],[m__3046]) ).
cnf(c95,plain,
doDivides0(xp,xn),
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(c98,plain,
xq = sdtsldt0(xn,xp),
inference(clausification,[status(esa)],[m__3059]) ).
cnf(c99,plain,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK97) = sdtasdt0(sK97,X0) ),
inference(resolution,[status(thm)],[c9,c90]) ).
cnf(d1,plain,
sdtasdt0(xp,sK97) = sdtasdt0(sK97,xp),
inference(resolution,[status(thm)],[d0,c73]) ).
cnf(d2,plain,
sdtasdt0(sK97,sz10) = sK97,
inference(resolution,[status(thm)],[c11,c90]) ).
cnf(d3,plain,
sdtasdt0(xp,sz10) = xp,
inference(resolution,[status(thm)],[c11,c73]) ).
cnf(d4,plain,
( ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| xp = sz00
| sz10 = sdtsldt0(X0,xp)
| X0 != xp ),
inference(superposition,[status(thm)],[d3,c52]) ).
cnf(d5,plain,
( ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| xp = sz00
| sz10 = sdtsldt0(X0,xp)
| X0 != xp ),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| xp = sz00
| sz10 = sdtsldt0(X0,xp)
| X0 != xp ),
inference(resolution,[status(thm)],[c73,d5]) ).
cnf(d7,plain,
( ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| sz10 = sdtsldt0(X0,xp)
| X0 != xp ),
inference(resolution,[status(thm)],[c76,d6]) ).
cnf(d8,plain,
( ~ doDivides0(xp,xp)
| ~ aNaturalNumber0(xp)
| sz10 = sdtsldt0(xp,xp) ),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
( ~ doDivides0(xp,xp)
| sz10 = sdtsldt0(xp,xp) ),
inference(resolution,[status(thm)],[c73,d8]) ).
cnf(d10,plain,
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| X0 != xp ),
inference(superposition,[status(thm)],[d3,c49]) ).
cnf(d11,plain,
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| X0 != xp ),
inference(resolution,[status(thm)],[c1,d10]) ).
cnf(d12,plain,
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| X0 != xp ),
inference(resolution,[status(thm)],[c73,d11]) ).
cnf(d13,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp) ),
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
doDivides0(xp,xp),
inference(resolution,[status(thm)],[c73,d13]) ).
cnf(d15,plain,
sz10 = sdtsldt0(xp,xp),
inference(resolution,[status(thm)],[d14,d9]) ).
cnf(d16,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtsldt0(sdtasdt0(X0,xp),xp)
| xp = sz00 ),
inference(resolution,[status(thm)],[d14,c57]) ).
cnf(d17,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| xp = sz00
| sdtasdt0(X0,sz10) = sdtsldt0(sdtasdt0(X0,xp),xp) ),
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
( ~ aNaturalNumber0(X0)
| xp = sz00
| sdtasdt0(X0,sz10) = sdtsldt0(sdtasdt0(X0,xp),xp) ),
inference(resolution,[status(thm)],[c73,d17]) ).
cnf(d19,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = sdtsldt0(sdtasdt0(X0,xp),xp) ),
inference(resolution,[status(thm)],[c76,d18]) ).
cnf(d20,plain,
sdtasdt0(sK97,sz10) = sdtsldt0(sdtasdt0(sK97,xp),xp),
inference(resolution,[status(thm)],[d19,c90]) ).
cnf(d21,plain,
sK97 = sdtsldt0(sdtasdt0(sK97,xp),xp),
inference(demodulation,[status(thm)],[d20,d2]) ).
cnf(d22,plain,
sK97 = sdtsldt0(sdtasdt0(xp,sK97),xp),
inference(demodulation,[status(thm)],[d21,d1]) ).
cnf(d23,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| xp = sz00 ),
inference(resolution,[status(thm)],[c57,c95]) ).
cnf(d24,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| xp = sz00
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(demodulation,[status(thm)],[d23,c98]) ).
cnf(d25,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| xp = sz00
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(resolution,[status(thm)],[c71,d24]) ).
cnf(d26,plain,
( ~ aNaturalNumber0(X0)
| xp = sz00
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(resolution,[status(thm)],[c73,d25]) ).
cnf(d27,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(resolution,[status(thm)],[c76,d26]) ).
cnf(d28,plain,
sdtasdt0(xn,xq) = sdtsldt0(sdtasdt0(xn,xn),xp),
inference(resolution,[status(thm)],[d27,c71]) ).
cnf(d29,plain,
sdtasdt0(xn,xq) = sdtsldt0(sdtasdt0(xp,sK97),xp),
inference(demodulation,[status(thm)],[d28,c91]) ).
cnf(d30,plain,
sdtasdt0(xn,xq) = sK97,
inference(demodulation,[status(thm)],[d29,d22]) ).
cnf(d31,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| xp = sz00
| sdtasdt0(xm,xm) = X0
| sdtasdt0(xn,xn) != sdtasdt0(xp,X0) ),
inference(superposition,[status(thm)],[c85,c19]) ).
cnf(d32,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| xp = sz00
| sdtasdt0(xm,xm) = X0
| sdtasdt0(xp,sK97) != sdtasdt0(xp,X0) ),
inference(demodulation,[status(thm)],[d31,c91]) ).
cnf(d33,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| xp = sz00
| sdtasdt0(xm,xm) = X0
| sdtasdt0(xp,sK97) != sdtasdt0(xp,X0) ),
inference(resolution,[status(thm)],[c73,d32]) ).
cnf(d34,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,sK97) != sdtasdt0(xp,X0)
| sdtasdt0(xm,xm) = X0 ),
inference(resolution,[status(thm)],[c76,d33]) ).
cnf(d35,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sK97)
| sdtasdt0(xm,xm) = sK97 ),
inference(equality_resolution,[status(thm)],[d34]) ).
cnf(d36,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sK97 ),
inference(resolution,[status(thm)],[c90,d35]) ).
cnf(d37,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| sdtasdt0(xm,xm) = sK97 ),
inference(resolution,[status(thm)],[d36,c4]) ).
cnf(d38,plain,
sdtasdt0(xm,xm) = sK97,
inference(resolution,[status(thm)],[c72,d37]) ).
cnf(d39,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(xp,X0),X1) = sdtasdt0(xp,sdtasdt0(X0,X1)) ),
inference(resolution,[status(thm)],[c10,c73]) ).
cnf(d40,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(resolution,[status(thm)],[d39,c96]) ).
cnf(d41,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(demodulation,[status(thm)],[d40,c97]) ).
cnf(d42,plain,
sdtasdt0(xn,xq) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(resolution,[status(thm)],[d41,c96]) ).
cnf(d43,plain,
sdtasdt0(xm,xm) != sdtasdt0(xn,xq),
inference(demodulation,[status(thm)],[c99,d42]) ).
cnf(d44,plain,
sK97 != sdtasdt0(xn,xq),
inference(demodulation,[status(thm)],[d43,d38]) ).
cnf(d45,plain,
sK97 != sK97,
inference(demodulation,[status(thm)],[d44,d30]) ).
cnf(d46,plain,
sK97 = sdtpldt0(sz00,sK97),
inference(resolution,[status(thm)],[c8,c90]) ).
cnf(d47,plain,
( ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK97)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| sK97 = sdtmndt0(X0,sz00)
| sK97 != X0 ),
inference(superposition,[status(thm)],[d46,c29]) ).
cnf(d48,plain,
( ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK97)
| ~ aNaturalNumber0(X0)
| sK97 = sdtmndt0(X0,sz00)
| sK97 != X0 ),
inference(resolution,[status(thm)],[c0,d47]) ).
cnf(d49,plain,
( ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| sK97 = sdtmndt0(X0,sz00)
| sK97 != X0 ),
inference(resolution,[status(thm)],[c90,d48]) ).
cnf(d50,plain,
( ~ sdtlseqdt0(sz00,sK97)
| ~ aNaturalNumber0(sK97)
| sK97 = sdtmndt0(sK97,sz00) ),
inference(equality_resolution,[status(thm)],[d49]) ).
cnf(d51,plain,
( ~ sdtlseqdt0(sz00,sK97)
| sK97 = sdtmndt0(sK97,sz00) ),
inference(resolution,[status(thm)],[c90,d50]) ).
cnf(d52,plain,
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK97)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| sK97 != X0 ),
inference(superposition,[status(thm)],[d46,c26]) ).
cnf(d53,plain,
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK97)
| ~ aNaturalNumber0(X0)
| sK97 != X0 ),
inference(resolution,[status(thm)],[c0,d52]) ).
cnf(d54,plain,
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| sK97 != X0 ),
inference(resolution,[status(thm)],[c90,d53]) ).
cnf(d55,plain,
( sdtlseqdt0(sz00,sK97)
| ~ aNaturalNumber0(sK97) ),
inference(equality_resolution,[status(thm)],[d54]) ).
cnf(d56,plain,
sdtlseqdt0(sz00,sK97),
inference(resolution,[status(thm)],[c90,d55]) ).
cnf(d57,plain,
sK97 = sdtmndt0(sK97,sz00),
inference(resolution,[status(thm)],[d56,d51]) ).
cnf(d58,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(equality_resolution,[status(thm)],[c28]) ).
cnf(d59,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK97)
| sdtpldt0(sz00,sdtmndt0(sK97,sz00)) = sK97 ),
inference(resolution,[status(thm)],[d56,d58]) ).
cnf(d60,plain,
( ~ aNaturalNumber0(sK97)
| ~ aNaturalNumber0(sz00)
| sdtpldt0(sz00,sK97) = sK97 ),
inference(demodulation,[status(thm)],[d59,d57]) ).
cnf(d61,plain,
( ~ aNaturalNumber0(sK97)
| ~ aNaturalNumber0(sz00)
| sK97 = sK97 ),
inference(demodulation,[status(thm)],[d60,d46]) ).
cnf(d62,plain,
( ~ aNaturalNumber0(sK97)
| sK97 = sK97 ),
inference(resolution,[status(thm)],[c0,d61]) ).
cnf(d63,plain,
sK97 = sK97,
inference(resolution,[status(thm)],[c90,d62]) ).
cnf(d64,plain,
$false,
inference(resolution,[status(thm)],[d63,d45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM524+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/10.64 % Computer : n010.cluster.edu
% 0.16/10.64 % Model : x86_64 x86_64
% 0.16/10.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.64 % Memory : 8046.5625MB
% 0.16/10.64 % OS : Linux 6.8.0-71-generic
% 0.16/10.64 % CPULimit : 300
% 0.16/10.64 % WCLimit : 300
% 0.16/10.64 % DateTime : Sat Sep 26 03:06:57 UTC 2026
% 0.16/10.65 % CPUTime :
% 0.16/10.65 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.88/32.97 % SZS status Theorem for theBenchmark.p
% 47.88/32.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------