%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM565+3 : 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 : n008.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 08:13:10 AM UTC 2026
% Result : Theorem 17.64s 2.67s
% Output : CNFRefutation 17.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 35 ( 16 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 33 ( 10 ~; 5 |; 10 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mCardEmpty,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ) ).
fof(m__,conjecture,
! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(X0) = sz00
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
=> ( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(X0) = sz00
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
=> ( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c74,plain,
( X0 = slcrc0
| sbrdtbr0(X0) != sz00
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mCardEmpty]) ).
cnf(c229,plain,
aSet0(sK190),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c232,plain,
sbrdtbr0(sK190) = sz00,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c236,plain,
sdtlpdtrp0(xc,sK190) != sdtlpdtrp0(xc,slcrc0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aSet0(sK190)
| sK190 = slcrc0
| sz00 != sz00 ),
inference(superposition,[status(thm)],[c232,c74]) ).
cnf(d1,plain,
( sK190 = slcrc0
| sz00 != sz00 ),
inference(resolution,[status(thm)],[c229,d0]) ).
cnf(d2,plain,
sK190 = slcrc0,
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0),
inference(demodulation,[status(thm)],[c236,d2]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM565+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n008.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 03:15:54 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.64/2.67 % SZS status Theorem for theBenchmark.p
% 17.64/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------