%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV077+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 : n020.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 0.83s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 5 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 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_0018,conjecture,
( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
file('theBenchmark.p',cl5_nebula_array_0018) ).
fof(cl5_nebula_array_0018_neg,negated_conjecture,
~ ( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0018]) ).
cnf(c_300,plain,
minus(A,n1) = pred(A),
inference(clausify,[status(thm)],[pred_minus_1]) ).
fof(ttrue,axiom,
true,
file('theBenchmark.p',ttrue) ).
cnf(c_319,plain,
true,
inference(clausify,[status(thm)],[ttrue]) ).
cnf(c_358,negated_conjecture,
leq(n0,pv31),
inference(clausify,[status(thm)],[cl5_nebula_array_0018_neg]) ).
cnf(c_359,negated_conjecture,
leq(pv31,minus(n5,n1)),
inference(clausify,[status(thm)],[cl5_nebula_array_0018_neg]) ).
cnf(c_360,negated_conjecture,
leq(pv31,pred(n5)),
inference(paramod,[status(thm)],[c_300,c_359]) ).
cnf(c_363,negated_conjecture,
( ~ true
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(clausify,[status(thm)],[cl5_nebula_array_0018_neg]) ).
cnf(c_365,negated_conjecture,
( ~ true
| ~ leq(pv31,pred(n5))
| ~ leq(n0,pv31) ),
inference(paramod,[status(thm)],[c_300,c_363]) ).
cnf(c_366,negated_conjecture,
( ~ true
| ~ leq(pv31,pred(n5)) ),
inference(resolve,[status(thm)],[c_358,c_365]) ).
cnf(c_367,negated_conjecture,
~ true,
inference(resolve,[status(thm)],[c_360,c_366]) ).
cnf(c_364,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_319,c_367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.72 % Computer : n020.cluster.edu
% 0.10/0.72 % Model : x86_64 x86_64
% 0.10/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.72 % Memory : 8046.5625MB
% 0.10/0.72 % OS : Linux 6.8.0-71-generic
% 0.10/0.72 % CPULimit : 300
% 0.10/0.72 % WCLimit : 300
% 0.10/0.72 % DateTime : Sat Sep 26 13:11:49 UTC 2026
% 0.10/0.73 % CPUTime :
% 0.10/0.73 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.73 % Process 1658174 was started by sandbox on n020,
% 0.10/0.73 % Sat Sep 26 13:11:49 2026
% 0.10/0.73 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.78
% 0.10/0.78 % From the command line: assign(max_seconds, 300).
% 0.14/0.83
% 0.14/0.83 % SZS status Theorem for theBenchmark
% 0.14/0.83
% 0.14/0.83 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.14/0.83 % Length of proof is 9.
% 0.14/0.83 % Level of proof is 3.
% 0.14/0.83 % Maximum clause weight is 16.000.
% 0.14/0.83 % Given clauses 0.
% 0.14/0.83
% 0.14/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------