%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM627+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 : 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 08:13:23 AM UTC 2026
% Result : Theorem 67.99s 22.27s
% Output : CNFRefutation 67.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 55 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 30 ~; 20 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccNum,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ) ).
fof(mLessTotal,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ) ).
fof(m__3754,hypothesis,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ).
fof(m__5309,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
fof(m__5389,hypothesis,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ) ).
fof(m__5442,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ).
fof(m__5461,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ).
cnf(c48,plain,
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mSuccNum]) ).
cnf(c62,plain,
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mLessTotal]) ).
cnf(c179,plain,
( ~ sdtlseqdt0(X0,X1)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__3754]) ).
cnf(c228,plain,
aElementOf0(xn,szNzAzT0),
inference(clausification,[status(esa)],[m__5309]) ).
cnf(c233,plain,
aElementOf0(xm,szNzAzT0),
inference(clausification,[status(esa)],[m__5389]) ).
cnf(c236,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(clausification,[status(esa)],[m__5442]) ).
cnf(c237,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(clausification,[status(esa)],[m__5461]) ).
cnf(d0,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c236,c179]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c233,d0]) ).
cnf(d2,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[d1,c62]) ).
cnf(d3,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c228,d2]) ).
cnf(d4,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c233,d3]) ).
cnf(d5,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c237,c179]) ).
cnf(d6,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c228,d5]) ).
cnf(d7,plain,
~ sdtlseqdt0(xm,xn),
inference(resolution,[status(thm)],[c233,d6]) ).
cnf(d8,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[d8,c48]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c228,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM627+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
% 0.08/0.37 % Computer : n001.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 26 03:35:56 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.99/22.27 % SZS status Theorem for theBenchmark.p
% 67.99/22.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------