%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM618+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 : n018.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 08:13:21 AM UTC 2026
% Result : Theorem 25.54s 3.69s
% Output : CNFRefutation 25.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 36 ( 11 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 29 ( 8 ~; 6 |; 11 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4730,hypothesis,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ) ).
fof(m__4854,hypothesis,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ) ).
fof(m__5365,hypothesis,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(xx,szNzAzT0) ) ).
fof(m__,conjecture,
? [X0] :
( xx = sdtlpdtrp0(xe,X0)
& aElementOf0(X0,szNzAzT0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( xx = sdtlpdtrp0(xe,X0)
& aElementOf0(X0,szNzAzT0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c377,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(clausification,[status(esa)],[m__4730]) ).
cnf(c390,plain,
( aElementOf0(X0,szDzozmdt0(xd))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(clausification,[status(esa)],[m__4854]) ).
cnf(c457,plain,
aElementOf0(sK292,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(clausification,[status(esa)],[m__5365]) ).
cnf(c458,plain,
sdtlpdtrp0(xe,sK292) = xx,
inference(clausification,[status(esa)],[m__5365]) ).
cnf(c459,plain,
( xx != sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szNzAzT0) ),
inference(demodulation,[status(thm)],[c390,c377]) ).
cnf(d1,plain,
aElementOf0(sK292,szNzAzT0),
inference(resolution,[status(thm)],[d0,c457]) ).
cnf(d2,plain,
( ~ aElementOf0(sK292,szNzAzT0)
| xx != xx ),
inference(superposition,[status(thm)],[c458,c459]) ).
cnf(d3,plain,
~ aElementOf0(sK292,szNzAzT0),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM618+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:30:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.54/3.69 % SZS status Theorem for theBenchmark.p
% 25.54/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------