%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV076+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 : 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 09:06:46 AM UTC 2026
% Result : Theorem 0.14s 0.68s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 19 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 2 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pred_minus_1,axiom,
! [X] : minus(X,n1) = pred(X),
file('theBenchmark.p',pred_minus_1) ).
fof(cl5_nebula_array_0017,conjecture,
( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
file('theBenchmark.p',cl5_nebula_array_0017) ).
fof(cl5_nebula_array_0017_neg,negated_conjecture,
~ ( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0017]) ).
cnf(c_300,plain,
minus(A,n1) = pred(A),
inference(clausify,[status(thm)],[pred_minus_1]) ).
cnf(c_358,negated_conjecture,
leq(n0,pv31),
inference(clausify,[status(thm)],[cl5_nebula_array_0017_neg]) ).
cnf(c_359,negated_conjecture,
leq(pv31,minus(n5,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0017_neg]) ).
cnf(c_360,negated_conjecture,
leq(pv31,pred(n5)),
inference(paramod,[status(thm)],[c_300,c_359]) ).
cnf(c_361,negated_conjecture,
( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(clausify,[status(thm)],[cl5_nebula_array_0017_neg]) ).
cnf(c_363,negated_conjecture,
( ~ leq(pv31,pred(n5))
| ~ leq(n0,pv31) ),
inference(paramod,[status(thm)],[c_300,c_361]) ).
cnf(c_364,negated_conjecture,
~ leq(pv31,pred(n5)),
inference(resolve,[status(thm)],[c_358,c_363]) ).
cnf(c_362,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_360,c_364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV076+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n009.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Sat Sep 26 13:10:59 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.57 % Process 220619 was started by sandbox on n009,
% 0.10/0.57 % Sat Sep 26 13:10:59 2026
% 0.10/0.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.62
% 0.10/0.62 % From the command line: assign(max_seconds, 300).
% 0.14/0.68
% 0.14/0.68 % SZS status Theorem for theBenchmark
% 0.14/0.68
% 0.14/0.68 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.14/0.68 % Length of proof is 8.
% 0.14/0.68 % Level of proof is 3.
% 0.14/0.68 % Maximum clause weight is 16.000.
% 0.14/0.68 % Given clauses 0.
% 0.14/0.68
% 0.14/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------