%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM606+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 08:13:18 AM UTC 2026
% Result : Theorem 17.44s 7.82s
% Output : CNFRefutation 17.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 14 unt; 1 def)
% Number of atoms : 74 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 33 ~; 29 |; 8 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSub,definition,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ) ).
fof(mSubTrans,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ) ).
fof(mNATSet,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ) ).
fof(m__3435,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ) ).
fof(m__4891,hypothesis,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ) ).
fof(m__4998,hypothesis,
aSubsetOf0(xO,xS) ).
fof(m__5093,hypothesis,
( xQ != slcrc0
& aSubsetOf0(xQ,xO) ) ).
fof(m__,conjecture,
aSubsetOf0(xQ,szNzAzT0) ).
fof(negated_conjecture,negated_conjecture,
~ aSubsetOf0(xQ,szNzAzT0),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c7,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c14,plain,
( aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(clausification,[status(esa)],[mSubTrans]) ).
cnf(c52,plain,
aSet0(szNzAzT0),
inference(clausification,[status(esa)],[mNATSet]) ).
cnf(c175,plain,
aSubsetOf0(xS,szNzAzT0),
inference(clausification,[status(esa)],[m__3435]) ).
cnf(c220,plain,
aSet0(xO),
inference(clausification,[status(esa)],[m__4891]) ).
cnf(c227,plain,
aSubsetOf0(xO,xS),
inference(clausification,[status(esa)],[m__4998]) ).
cnf(c229,plain,
aSubsetOf0(xQ,xO),
inference(clausification,[status(esa)],[m__5093]) ).
cnf(c231,plain,
~ aSubsetOf0(xQ,szNzAzT0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[c175,c14]) ).
cnf(d1,plain,
( ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[c52,d0]) ).
cnf(d2,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(resolution,[status(thm)],[c175,c7]) ).
cnf(d3,plain,
aSet0(xS),
inference(resolution,[status(thm)],[c52,d2]) ).
cnf(d4,plain,
( ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ aSubsetOf0(X0,xO)
| aSubsetOf0(X0,xS)
| ~ aSet0(xO)
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[c227,c14]) ).
cnf(d6,plain,
( ~ aSubsetOf0(X0,xO)
| aSubsetOf0(X0,xS)
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[c220,d5]) ).
cnf(d7,plain,
( ~ aSubsetOf0(X0,xO)
| aSubsetOf0(X0,xS)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[d3,d6]) ).
cnf(d8,plain,
( aSubsetOf0(xQ,xS)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[d7,c229]) ).
cnf(d9,plain,
( ~ aSet0(xO)
| aSet0(xQ) ),
inference(resolution,[status(thm)],[c229,c7]) ).
cnf(d10,plain,
aSet0(xQ),
inference(resolution,[status(thm)],[c220,d9]) ).
cnf(d11,plain,
aSubsetOf0(xQ,xS),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( aSubsetOf0(xQ,szNzAzT0)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
~ aSet0(xQ),
inference(resolution,[status(thm)],[c231,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d10,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM606+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n010.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Sat Sep 26 03:26:05 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.44/7.82 % SZS status Theorem for theBenchmark.p
% 17.44/7.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------