%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM545+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 : 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 08:13:06 AM UTC 2026
% Result : Theorem 43.47s 6.08s
% Output : CNFRefutation 43.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 12 unt; 2 def)
% Number of atoms : 102 ( 17 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 98 ( 39 ~; 38 |; 10 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 10 !; 2 ?)
% 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(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0) ).
fof(mSuccNum,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ) ).
fof(mZeroLess,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ) ).
fof(mDefMax,definition,
! [X0] :
( ( X0 != slcrc0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0 ).
fof(mSegLess,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ) ).
fof(m__1986,hypothesis,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0) ) ).
fof(m__2035,hypothesis,
( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ).
fof(m__,conjecture,
? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
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(c54,plain,
aElementOf0(sz00,szNzAzT0),
inference(clausification,[status(esa)],[mZeroNum]) ).
cnf(c55,plain,
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mSuccNum]) ).
cnf(c61,plain,
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mZeroLess]) ).
cnf(c85,plain,
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(X1,X0)
| X1 != szmzazxdt0(X0)
| X0 = slcrc0 ),
inference(clausification,[status(esa)],[mDefMax]) ).
cnf(c103,plain,
slbdtrb0(sz00) = slcrc0,
inference(clausification,[status(esa)],[mSegZero]) ).
cnf(c107,plain,
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mSegLess]) ).
cnf(c109,plain,
aSubsetOf0(xS,szNzAzT0),
inference(clausification,[status(esa)],[m__1986]) ).
cnf(c110,plain,
isFinite0(xS),
inference(clausification,[status(esa)],[m__1986]) ).
cnf(c111,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 ),
inference(clausification,[status(esa)],[m__2035]) ).
cnf(c112,plain,
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| xS = slcrc0 ),
inference(resolution,[status(thm)],[c111,c112]) ).
cnf(d1,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| xS = slcrc0 ),
inference(resolution,[status(thm)],[d0,c55]) ).
cnf(d2,plain,
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c8,c109]) ).
cnf(d3,plain,
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c52,d2]) ).
cnf(d4,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| aElementOf0(szmzazxdt0(X0),X0)
| X0 = slcrc0 ),
inference(equality_resolution,[status(thm)],[c85]) ).
cnf(d5,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0 ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(szmzazxdt0(xS),szNzAzT0)
| xS = slcrc0 ),
inference(resolution,[status(thm)],[c110,d5]) ).
cnf(d7,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| xS = slcrc0 ),
inference(resolution,[status(thm)],[c109,d6]) ).
cnf(d8,plain,
( xS = slcrc0
| xS = slcrc0 ),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSubsetOf0(xS,slcrc0) ),
inference(superposition,[status(thm)],[c103,c112]) ).
cnf(d10,plain,
~ aSubsetOf0(xS,slcrc0),
inference(resolution,[status(thm)],[c54,d9]) ).
cnf(d11,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(demodulation,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(slcrc0,slbdtrb0(X0)) ),
inference(superposition,[status(thm)],[c103,c107]) ).
cnf(d13,plain,
( ~ sdtlseqdt0(sz00,X0)
| aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c54,d12]) ).
cnf(d14,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[status(thm)],[c103,d13]) ).
cnf(d15,plain,
( ~ sdtlseqdt0(sz00,sz00)
| aSubsetOf0(slcrc0,slcrc0) ),
inference(resolution,[status(thm)],[c54,d14]) ).
cnf(d16,plain,
sdtlseqdt0(sz00,sz00),
inference(resolution,[status(thm)],[c61,c54]) ).
cnf(d17,plain,
aSubsetOf0(slcrc0,slcrc0),
inference(resolution,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM545+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n015.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 03:13:59 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.47/6.08 % SZS status Theorem for theBenchmark.p
% 43.47/6.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------