%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV065+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 : n014.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 0.13s 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 42 ( 16 ~; 10 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
file('theBenchmark.p',reflexivity_leq) ).
fof(cl5_nebula_array_0006,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)
& leq(n0,n0) ) ),
file('theBenchmark.p',cl5_nebula_array_0006) ).
fof(cl5_nebula_array_0006_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)
& leq(n0,n0) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0006]) ).
cnf(c_64,plain,
leq(A,A),
inference(clausify,[status(thm)],[reflexivity_leq]) ).
cnf(c_363,negated_conjecture,
leq(n0,pv10),
inference(clausify,[status(thm)],[cl5_nebula_array_0006_neg]) ).
cnf(c_364,negated_conjecture,
leq(n0,pv53),
inference(clausify,[status(thm)],[cl5_nebula_array_0006_neg]) ).
cnf(c_365,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0006_neg]) ).
cnf(c_366,negated_conjecture,
leq(pv53,minus(n5,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0006_neg]) ).
cnf(c_367,negated_conjecture,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ),
inference(clausify,[status(thm)],[cl5_nebula_array_0006_neg]) ).
cnf(c_369,negated_conjecture,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv10) ),
inference(resolve,[status(thm)],[c_64,c_367]) ).
cnf(c_370,negated_conjecture,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53) ),
inference(resolve,[status(thm)],[c_363,c_369]) ).
cnf(c_371,negated_conjecture,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(resolve,[status(thm)],[c_364,c_370]) ).
cnf(c_372,negated_conjecture,
~ leq(pv53,minus(n5,n1)),
inference(resolve,[status(thm)],[c_365,c_371]) ).
cnf(c_368,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_366,c_372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV065+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 13:10:16 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 3236075 was started by sandbox2 on n014,
% 0.13/0.36 % Sat Sep 26 13:10:16 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.42
% 0.13/0.42 % From the command line: assign(max_seconds, 300).
% 0.13/0.47
% 0.13/0.47 % SZS status Theorem for theBenchmark
% 0.13/0.47
% 0.13/0.47 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.13/0.47 % Length of proof is 9.
% 0.13/0.47 % Level of proof is 2.
% 0.13/0.47 % Maximum clause weight is 15.000.
% 0.13/0.47 % Given clauses 0.
% 0.13/0.47
% 0.13/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------