%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM630+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 : n008.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 08:13:23 AM UTC 2026
% Result : Theorem 42.41s 6.60s
% Output : CNFRefutation 42.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 41 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 41 ( 19 ~; 12 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4151,hypothesis,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ) ).
fof(m__5164,hypothesis,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& aSet0(xP) ) ).
fof(m__5309,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
fof(m__5585,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ).
fof(m__5599,hypothesis,
aElementOf0(xP,slbdtsldtrb0(xD,xk)) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ).
fof(negated_conjecture,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c202,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__4151]) ).
cnf(c234,plain,
aSet0(xP),
inference(clausification,[status(esa)],[m__5164]) ).
cnf(c243,plain,
aElementOf0(xn,szNzAzT0),
inference(clausification,[status(esa)],[m__5309]) ).
cnf(c247,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(clausification,[status(esa)],[m__5585]) ).
cnf(c248,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(clausification,[status(esa)],[m__5599]) ).
cnf(c249,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
| ~ aElementOf0(xn,szNzAzT0)
| ~ aSet0(xP)
| sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(superposition,[status(thm)],[c202,c249]) ).
cnf(d1,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(xD,xk))
| ~ aSet0(xP)
| sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(demodulation,[status(thm)],[d0,c247]) ).
cnf(d2,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(xD,xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(resolution,[status(thm)],[c234,d1]) ).
cnf(d3,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xD,xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(resolution,[status(thm)],[c243,d2]) ).
cnf(d4,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(resolution,[status(thm)],[c248,d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM630+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 03:31:25 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.41/6.60 % SZS status Theorem for theBenchmark.p
% 42.41/6.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------