%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM578+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 : n006.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 08:13:13 AM UTC 2026
% Result : Theorem 18.68s 8.95s
% Output : CNFRefutation 18.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 86 ( 18 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 105 ( 51 ~; 35 |; 8 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 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,
( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
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(c196,plain,
aElementOf0(xi,szNzAzT0),
inference(clausification,[status(esa)],[m__3856]) ).
cnf(c197,plain,
aElementOf0(xj,szNzAzT0),
inference(clausification,[status(esa)],[m__3856]) ).
cnf(c200,plain,
( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c201,plain,
xi != xj,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c202,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),X0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xi)) ),
inference(superposition,[status(thm)],[c202,c200]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c196,d1]) ).
cnf(d3,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(resolution,[status(thm)],[c197,d2]) ).
cnf(d4,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c69,d3]) ).
cnf(d5,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c196,d4]) ).
cnf(d6,plain,
sdtlseqdt0(xi,xj),
inference(resolution,[status(thm)],[c197,d5]) ).
cnf(d7,plain,
( ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| xj = xi ),
inference(resolution,[status(thm)],[d6,c67]) ).
cnf(d8,plain,
( ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0)
| xj = xi ),
inference(resolution,[status(thm)],[c196,d7]) ).
cnf(d9,plain,
( ~ sdtlseqdt0(xj,xi)
| xj = xi ),
inference(resolution,[status(thm)],[c197,d8]) ).
cnf(d10,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xj)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c202,c200]) ).
cnf(d11,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c196,d11]) ).
cnf(d13,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(resolution,[status(thm)],[c197,d12]) ).
cnf(d14,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c69,d13]) ).
cnf(d15,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c196,d14]) ).
cnf(d16,plain,
sdtlseqdt0(xj,xi),
inference(resolution,[status(thm)],[c197,d15]) ).
cnf(d17,plain,
xj = xi,
inference(resolution,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
xi != xi,
inference(demodulation,[status(thm)],[c201,d17]) ).
cnf(d19,plain,
$false,
inference(equality_resolution,[status(thm)],[d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM578+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
% 0.12/6.21 % Computer : n006.cluster.edu
% 0.12/6.21 % Model : x86_64 x86_64
% 0.12/6.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/6.21 % Memory : 8046.5625MB
% 0.12/6.21 % OS : Linux 6.8.0-71-generic
% 0.12/6.21 % CPULimit : 300
% 0.12/6.21 % WCLimit : 300
% 0.12/6.21 % DateTime : Sat Sep 26 03:18:09 UTC 2026
% 0.12/6.21 % CPUTime :
% 0.12/6.21 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.68/8.95 % SZS status Theorem for theBenchmark.p
% 18.68/8.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------