%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV062+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 09:06:44 AM UTC 2026
% Result : Theorem 0.25s 0.54s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 59 ( 22 ~; 15 |; 20 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0003,conjecture,
( ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) ) ),
file('theBenchmark.p',cl5_nebula_array_0003) ).
fof(cl5_nebula_array_0003_neg,negated_conjecture,
~ ( ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0003]) ).
cnf(c_363,negated_conjecture,
leq(n0,pv10),
inference(clausify,[status(thm)],[cl5_nebula_array_0003_neg]) ).
cnf(c_364,negated_conjecture,
leq(n0,pv41),
inference(clausify,[status(thm)],[cl5_nebula_array_0003_neg]) ).
cnf(c_365,negated_conjecture,
leq(n0,pv43),
inference(clausify,[status(thm)],[cl5_nebula_array_0003_neg]) ).
cnf(c_366,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0003_neg]) ).
cnf(c_367,negated_conjecture,
leq(pv41,minus(n5,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0003_neg]) ).
cnf(c_368,negated_conjecture,
leq(pv43,minus(n5,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0003_neg]) ).
cnf(c_369,negated_conjecture,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41)
| ~ leq(n0,pv10) ),
inference(clausify,[status(thm)],[cl5_nebula_array_0003_neg]) ).
cnf(c_371,negated_conjecture,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41) ),
inference(resolve,[status(thm)],[c_363,c_369]) ).
cnf(c_372,negated_conjecture,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43) ),
inference(resolve,[status(thm)],[c_364,c_371]) ).
cnf(c_373,negated_conjecture,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(resolve,[status(thm)],[c_365,c_372]) ).
cnf(c_374,negated_conjecture,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1)) ),
inference(resolve,[status(thm)],[c_366,c_373]) ).
cnf(c_375,negated_conjecture,
~ leq(pv43,minus(n5,n1)),
inference(resolve,[status(thm)],[c_367,c_374]) ).
cnf(c_370,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_368,c_375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV062+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n009.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 13:09:59 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 216580 was started by sandbox2 on n009,
% 0.16/0.43 % Sat Sep 26 13:09:59 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.49
% 0.16/0.49 % From the command line: assign(max_seconds, 300).
% 0.25/0.54
% 0.25/0.54 % SZS status Theorem for theBenchmark
% 0.25/0.54
% 0.25/0.54 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.25/0.54 % Length of proof is 9.
% 0.25/0.54 % Level of proof is 2.
% 0.25/0.54 % Maximum clause weight is 15.000.
% 0.25/0.54 % Given clauses 0.
% 0.25/0.54
% 0.25/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------