%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM600+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 : n001.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 08:13:17 AM UTC 2026
% Result : Theorem 19.98s 3.77s
% Output : CNFRefutation 19.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 47 ( 15 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 44 ( 12 ~; 11 |; 15 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 6 !; 4 ?)
% 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__,conjecture,
! [X0] :
( ( aElementOf0(X0,xO)
& ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
& aElementOf0(X1,szNzAzT0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( aElementOf0(X0,xO)
& ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
& aElementOf0(X1,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(c404,plain,
aElementOf0(sK276,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c405,plain,
sdtlpdtrp0(xe,sK276) = sK275,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c408,plain,
( sdtlpdtrp0(xe,X0) != sK275
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ 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(sK276,szNzAzT0),
inference(resolution,[status(thm)],[d0,c404]) ).
cnf(d2,plain,
( ~ aElementOf0(sK276,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(sK276,szNzAzT0)
| sK275 != sK275 ),
inference(superposition,[status(thm)],[c405,c408]) ).
cnf(d3,plain,
( ~ aElementOf0(sK276,szNzAzT0)
| sK275 != sK275 ),
inference(resolution,[status(thm)],[c404,d2]) ).
cnf(d4,plain,
~ aElementOf0(sK276,szNzAzT0),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM600+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
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 03:29:42 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.98/3.77 % SZS status Theorem for theBenchmark.p
% 19.98/3.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------