%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM617+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 : n002.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 08:13:21 AM UTC 2026
% Result : Theorem 18.04s 8.07s
% Output : CNFRefutation 18.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 16 unt; 1 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 12 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSub,definition,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ) ).
fof(mNATSet,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ) ).
fof(m__4891,hypothesis,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ) ).
fof(m__5093,hypothesis,
( xQ != slcrc0
& aSubsetOf0(xQ,xO) ) ).
fof(m__5106,hypothesis,
aSubsetOf0(xQ,szNzAzT0) ).
fof(m__5195,hypothesis,
aSubsetOf0(xP,xQ) ).
fof(m__5348,hypothesis,
aElementOf0(xx,xP) ).
fof(m__,conjecture,
aElementOf0(xx,szNzAzT0) ).
fof(negated_conjecture,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c7,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c8,plain,
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c52,plain,
aSet0(szNzAzT0),
inference(clausification,[status(esa)],[mNATSet]) ).
cnf(c220,plain,
aSet0(xO),
inference(clausification,[status(esa)],[m__4891]) ).
cnf(c229,plain,
aSubsetOf0(xQ,xO),
inference(clausification,[status(esa)],[m__5093]) ).
cnf(c231,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(clausification,[status(esa)],[m__5106]) ).
cnf(c238,plain,
aSubsetOf0(xP,xQ),
inference(clausification,[status(esa)],[m__5195]) ).
cnf(c246,plain,
aElementOf0(xx,xP),
inference(clausification,[status(esa)],[m__5348]) ).
cnf(c247,plain,
~ aElementOf0(xx,szNzAzT0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c231,c8]) ).
cnf(d1,plain,
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c52,d0]) ).
cnf(d2,plain,
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c238,c8]) ).
cnf(d3,plain,
( ~ aSet0(xO)
| aSet0(xQ) ),
inference(resolution,[status(thm)],[c229,c7]) ).
cnf(d4,plain,
aSet0(xQ),
inference(resolution,[status(thm)],[c220,d3]) ).
cnf(d5,plain,
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
aElementOf0(xx,xQ),
inference(resolution,[status(thm)],[d5,c246]) ).
cnf(d7,plain,
aElementOf0(xx,szNzAzT0),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c247,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM617+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
% 0.10/5.39 % Computer : n002.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sat Sep 26 03:30:12 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.04/8.07 % SZS status Theorem for theBenchmark.p
% 18.04/8.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------