%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM544+2 : 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 : n015.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 08:13:05 AM UTC 2026
% Result : Theorem 21.70s 3.48s
% Output : CNFRefutation 21.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 64 ( 2 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 71 ( 26 ~; 20 |; 10 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccLess,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ) ).
fof(m__1986,hypothesis,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ) ).
fof(m__,conjecture,
( ~ ( xS = slcrc0
| ~ ? [X0] : aElementOf0(X0,xS) )
=> ( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) )
=> ( ( ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
=> ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ~ ( xS = slcrc0
| ~ ? [X0] : aElementOf0(X0,xS) )
=> ( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) )
=> ( ( ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
=> ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c63,plain,
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mSuccLess]) ).
cnf(c110,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(clausification,[status(esa)],[m__1986]) ).
cnf(c115,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c116,plain,
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,xS) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c120,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
aElementOf0(sK107,xS),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c122,plain,
~ aElementOf0(sK107,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c63,c120]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(sK107,szmzazxdt0(xS))
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ aElementOf0(sK107,szNzAzT0) ),
inference(resolution,[status(thm)],[d0,c122]) ).
cnf(d2,plain,
( ~ aElementOf0(sK107,xS)
| ~ aElementOf0(sK107,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[d1,c116]) ).
cnf(d3,plain,
( ~ aElementOf0(sK107,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c121,d2]) ).
cnf(d4,plain,
aElementOf0(sK107,szNzAzT0),
inference(resolution,[status(thm)],[c110,c121]) ).
cnf(d5,plain,
~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(resolution,[status(thm)],[c110,c115]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM544+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n015.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 03:13:43 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.70/3.48 % SZS status Theorem for theBenchmark.p
% 21.70/3.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------