%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 08:26:43 AM UTC 2026
% Result : Theorem 0.13s 0.69s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 26 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 23 ( 10 ~; 6 |; 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,axiom,
( ! [W0] :
( ( W0 != sz00
& aElementOf0(W0,xI) )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI) ),
file('theBenchmark.p',m__2273) ).
fof(m__2666,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('theBenchmark.p',m__2666) ).
cnf(c_167,plain,
( ~ iLess0(sbrdtbr0(A),sbrdtbr0(xu))
| sz00 = A
| ~ aElementOf0(A,xI) ),
inference(clausify,[status(thm)],[m__2273]) ).
cnf(c_177,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 ),
inference(clausify,[status(thm)],[m__2666]) ).
fof(m__2673,axiom,
xr != sz00,
file('theBenchmark.p',m__2673) ).
cnf(c_178,plain,
xr != sz00,
inference(clausify,[status(thm)],[m__2673]) ).
fof(m__2729,axiom,
aElementOf0(xr,xI),
file('theBenchmark.p',m__2729) ).
cnf(c_183,plain,
aElementOf0(xr,xI),
inference(clausify,[status(thm)],[m__2729]) ).
cnf(c_267,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(resolve,[status(thm)],[c_178,c_177]) ).
cnf(c_1418,plain,
( ~ iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ),
inference(resolve,[status(thm)],[c_183,c_167]) ).
cnf(c_1419,plain,
( ~ iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 ),
inference(copy,[status(thm)],[c_1418]) ).
cnf(c_1420,plain,
~ iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(resolve,[status(thm)],[c_178,c_1419]) ).
cnf(c_1417,plain,
$false,
inference(resolve,[status(thm)],[c_267,c_1420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n005.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 06:11:33 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.58 % Process 1387969 was started by sandbox2 on n005,
% 0.09/0.58 % Sat Sep 26 06:11:33 2026
% 0.09/0.58 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.59
% 0.09/0.59 % From the command line: assign(max_seconds, 300).
% 0.13/0.69
% 0.13/0.69 % SZS status Theorem for theBenchmark
% 0.13/0.69
% 0.13/0.69 % Proof 1 at 0.07 (+ 0.02) seconds.
% 0.13/0.69 % Length of proof is 8.
% 0.13/0.69 % Level of proof is 3.
% 0.13/0.69 % Maximum clause weight is 21.000.
% 0.13/0.69 % Given clauses 105.
% 0.13/0.69
% 0.13/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------