%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM494+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 : n014.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 08:12:55 AM UTC 2026
% Result : Theorem 33.72s 5.50s
% Output : CNFRefutation 33.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 10 unt; 0 def)
% Number of atoms : 244 ( 83 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 312 ( 142 ~; 140 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 31 ( 0 sgn 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ) ).
fof(mAddComm,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ) ).
fof(mAddAsso,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ).
fof(mAddCanc,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ) ).
fof(mMonAdd,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ) ).
fof(m__1883,hypothesis,
( xr = sdtmndt0(xn,xp)
& sdtpldt0(xp,xr) = xn
& aNaturalNumber0(xr) ) ).
fof(m__1894,hypothesis,
( sdtlseqdt0(xr,xn)
& ? [X0] :
( sdtpldt0(xr,X0) = xn
& aNaturalNumber0(X0) )
& xr != xn ) ).
fof(m__,conjecture,
( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ? [X0] :
( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(X0) ) )
& sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ? [X0] :
( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(X0) ) )
& sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c3,plain,
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mSortsB]) ).
cnf(c5,plain,
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mAddComm]) ).
cnf(c6,plain,
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mAddAsso]) ).
cnf(c18,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X0 = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ),
inference(clausification,[status(esa)],[mAddCanc]) ).
cnf(c38,plain,
( ~ aNaturalNumber0(X0)
| X0 = X1
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(clausification,[status(esa)],[mMonAdd]) ).
cnf(c70,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c71,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c72,plain,
aNaturalNumber0(xp),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c100,plain,
aNaturalNumber0(xr),
inference(clausification,[status(esa)],[m__1883]) ).
cnf(c101,plain,
sdtpldt0(xp,xr) = xn,
inference(clausification,[status(esa)],[m__1883]) ).
cnf(c103,plain,
xr != xn,
inference(clausification,[status(esa)],[m__1894]) ).
cnf(c106,plain,
sdtlseqdt0(xr,xn),
inference(clausification,[status(esa)],[m__1894]) ).
cnf(c111,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c6,c111]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c71,d0]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(xr)
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c72,d1]) ).
cnf(d3,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c100,d2]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c70,d4]) ).
cnf(d6,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c71,d5]) ).
cnf(d7,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c72,d6]) ).
cnf(d8,plain,
( ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| xr = xn
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[d7,c38]) ).
cnf(d9,plain,
( ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| xr = xn
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c70,d8]) ).
cnf(d10,plain,
( ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| xr = xn
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c100,d9]) ).
cnf(d11,plain,
( ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c103,d10]) ).
cnf(d12,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c106,d11]) ).
cnf(d13,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[d12,c6]) ).
cnf(d14,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c71,d13]) ).
cnf(d15,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c72,d14]) ).
cnf(d16,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xr,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c100,d15]) ).
cnf(d17,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xm,xr),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(superposition,[status(thm)],[c5,d12]) ).
cnf(d18,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xm,xr),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c71,d17]) ).
cnf(d19,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xm,xr),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c100,d18]) ).
cnf(d20,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xm,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[d19,c6]) ).
cnf(d21,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xm,sdtpldt0(xr,xp)) ),
inference(resolution,[status(thm)],[c71,d20]) ).
cnf(d22,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xm,sdtpldt0(xr,xp)) ),
inference(resolution,[status(thm)],[c72,d21]) ).
cnf(d23,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xm,sdtpldt0(xr,xp)) ),
inference(resolution,[status(thm)],[c100,d22]) ).
cnf(d24,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xm,sdtpldt0(xr,xp)) = sdtpldt0(xr,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[d16,c6]) ).
cnf(d26,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c70,d25]) ).
cnf(d27,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c71,d26]) ).
cnf(d28,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c72,d27]) ).
cnf(d29,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xm,sdtpldt0(xr,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[d28,d24]) ).
cnf(d30,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xm,sdtpldt0(xp,xr)) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c5,d29]) ).
cnf(d31,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xm,xn) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(demodulation,[status(thm)],[d30,c101]) ).
cnf(d32,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xm,xn) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c72,d31]) ).
cnf(d33,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xm,xn) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c100,d32]) ).
cnf(d34,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xn)
| xn = X0
| sdtpldt0(xm,xn) != sdtpldt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[d33,c18]) ).
cnf(d35,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| xn = X0
| sdtpldt0(xm,xn) != sdtpldt0(X0,sdtpldt0(xm,xp)) ),
inference(resolution,[status(thm)],[c70,d34]) ).
cnf(d36,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(superposition,[status(thm)],[c6,d12]) ).
cnf(d37,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c71,d36]) ).
cnf(d38,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c72,d37]) ).
cnf(d39,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c100,d38]) ).
cnf(d40,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| sdtpldt0(xr,sdtpldt0(xm,xp)) = sdtpldt0(xm,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[d23,d39]) ).
cnf(d41,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xr)
| xn = xr
| sdtpldt0(xm,xn) != sdtpldt0(xm,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[d40,d35]) ).
cnf(d42,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| xn = xr
| sdtpldt0(xm,xn) != sdtpldt0(xm,sdtpldt0(xr,xp)) ),
inference(resolution,[status(thm)],[c100,d41]) ).
cnf(d43,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| xn = xr
| sdtpldt0(xm,xn) != sdtpldt0(xn,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[d29,d42]) ).
cnf(d44,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| xn = xr
| sdtpldt0(xm,xn) != sdtpldt0(xm,xn) ),
inference(superposition,[status(thm)],[d33,d43]) ).
cnf(d45,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| xn = xr ),
inference(equality_resolution,[status(thm)],[d44]) ).
cnf(d46,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| xn = xr ),
inference(resolution,[status(thm)],[d45,c3]) ).
cnf(d47,plain,
( ~ aNaturalNumber0(xp)
| xn = xr ),
inference(resolution,[status(thm)],[c71,d46]) ).
cnf(d48,plain,
xn = xr,
inference(resolution,[status(thm)],[c72,d47]) ).
cnf(d49,plain,
xn != xn,
inference(demodulation,[status(thm)],[c103,d48]) ).
cnf(d50,plain,
$false,
inference(equality_resolution,[status(thm)],[d49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM494+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 02:58:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.72/5.50 % SZS status Theorem for theBenchmark.p
% 33.72/5.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------