%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG124+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 : n003.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 08:25:57 AM UTC 2026
% Result : Theorem 24.87s 3.63s
% Output : CNFRefutation 24.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 24 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 5 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2273,hypothesis,
( ! [X0] :
( ( X0 != sz00
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI) ) ).
fof(m__2666,hypothesis,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ) ).
fof(m__2673,hypothesis,
xr != sz00 ).
fof(m__2729,hypothesis,
aElementOf0(xr,xI) ).
cnf(c122,plain,
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| X0 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[m__2273]) ).
cnf(c132,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 ),
inference(clausification,[status(esa)],[m__2666]) ).
cnf(c133,plain,
xr != sz00,
inference(clausification,[status(esa)],[m__2673]) ).
cnf(c137,plain,
aElementOf0(xr,xI),
inference(clausification,[status(esa)],[m__2729]) ).
cnf(d0,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(resolution,[status(thm)],[c133,c132]) ).
cnf(d1,plain,
( ~ aElementOf0(xr,xI)
| xr = sz00 ),
inference(resolution,[status(thm)],[d0,c122]) ).
cnf(d2,plain,
~ aElementOf0(xr,xI),
inference(resolution,[status(thm)],[c133,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c137,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n003.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 06:13:24 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.87/3.63 % SZS status Theorem for theBenchmark.p
% 24.87/3.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------