%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG124+4 : 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 : n016.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 23.73s 3.45s
% Output : CNFRefutation 23.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 33 ( 12 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 30 ( 9 ~; 6 |; 14 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 1 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2273,hypothesis,
( ! [X0] :
( ( X0 != sz00
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ).
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)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xr
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ).
cnf(c175,plain,
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| X0 = sz00
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[m__2273]) ).
cnf(c193,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 ),
inference(clausification,[status(esa)],[m__2666]) ).
cnf(c194,plain,
xr != sz00,
inference(clausification,[status(esa)],[m__2673]) ).
cnf(c210,plain,
aElementOf0(xr,xI),
inference(clausification,[status(esa)],[m__2729]) ).
cnf(d0,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(resolution,[status(thm)],[c194,c193]) ).
cnf(d1,plain,
( ~ aElementOf0(xr,xI)
| xr = sz00 ),
inference(resolution,[status(thm)],[d0,c175]) ).
cnf(d2,plain,
~ aElementOf0(xr,xI),
inference(resolution,[status(thm)],[c194,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c210,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG124+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n016.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sat Sep 26 06:16:32 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.73/3.45 % SZS status Theorem for theBenchmark.p
% 23.73/3.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------