%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM576+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 : n016.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 08:13:12 AM UTC 2026
% Result : Theorem 21.49s 3.24s
% Output : CNFRefutation 21.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 58 ( 27 ~; 22 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mLessASymm,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ) ).
fof(mLessTotal,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ) ).
fof(m__3856,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ) ).
fof(m__,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c67,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X1 = X0
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(clausification,[status(esa)],[mLessASymm]) ).
cnf(c69,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mLessTotal]) ).
cnf(c250,plain,
aElementOf0(xi,szNzAzT0),
inference(clausification,[status(esa)],[m__3856]) ).
cnf(c251,plain,
aElementOf0(xj,szNzAzT0),
inference(clausification,[status(esa)],[m__3856]) ).
cnf(c252,plain,
xi != xj,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c253,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c254,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c69,c254]) ).
cnf(d1,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c250,d0]) ).
cnf(d2,plain,
sdtlseqdt0(xj,xi),
inference(resolution,[status(thm)],[c251,d1]) ).
cnf(d3,plain,
( ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| xi = xj ),
inference(resolution,[status(thm)],[d2,c67]) ).
cnf(d4,plain,
( ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c252,d3]) ).
cnf(d5,plain,
( ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c250,d4]) ).
cnf(d6,plain,
~ sdtlseqdt0(xi,xj),
inference(resolution,[status(thm)],[c251,d5]) ).
cnf(d7,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c69,c253]) ).
cnf(d8,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c250,d7]) ).
cnf(d9,plain,
sdtlseqdt0(xi,xj),
inference(resolution,[status(thm)],[c251,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM576+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
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 03:22:29 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.49/3.24 % SZS status Theorem for theBenchmark.p
% 21.49/3.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------