%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV066+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.14s 0.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 31 ( 11 ~; 6 |; 12 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0007,conjecture,
( ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) ) ),
file('theBenchmark.p',cl5_nebula_array_0007) ).
fof(cl5_nebula_array_0007_neg,negated_conjecture,
~ ( ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0007]) ).
cnf(c_374,negated_conjecture,
leq(n0,pv10),
inference(clausify,[status(thm)],[cl5_nebula_array_0007_neg]) ).
cnf(c_375,negated_conjecture,
leq(n0,pv53),
inference(clausify,[status(thm)],[cl5_nebula_array_0007_neg]) ).
cnf(c_376,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0007_neg]) ).
cnf(c_377,negated_conjecture,
leq(pv53,minus(n5,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0007_neg]) ).
cnf(c_378,negated_conjecture,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv10) ),
inference(clausify,[status(thm)],[cl5_nebula_array_0007_neg]) ).
cnf(c_380,negated_conjecture,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53) ),
inference(resolve,[status(thm)],[c_374,c_378]) ).
cnf(c_381,negated_conjecture,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(resolve,[status(thm)],[c_375,c_380]) ).
cnf(c_382,negated_conjecture,
~ leq(pv53,minus(n5,n1)),
inference(resolve,[status(thm)],[c_376,c_381]) ).
cnf(c_379,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_377,c_382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV066+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 13:10:45 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3403390 was started by sandbox on n010,
% 0.09/0.36 % Sat Sep 26 13:10:45 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.42
% 0.14/0.42 % From the command line: assign(max_seconds, 300).
% 0.14/0.45
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45
% 0.14/0.45 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.14/0.45 % Length of proof is 7.
% 0.14/0.45 % Level of proof is 2.
% 0.14/0.45 % Maximum clause weight is 15.000.
% 0.14/0.45 % Given clauses 0.
% 0.14/0.45
% 0.14/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------