%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV047+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 : n005.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 09:06:42 AM UTC 2026
% Result : Theorem 0.31s 0.48s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 14 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 10 ( 2 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0013,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> true ),
file('theBenchmark.p',cl5_nebula_norm_0013) ).
fof(cl5_nebula_norm_0013_neg,negated_conjecture,
~ ( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> true ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0013]) ).
fof(ttrue,axiom,
true,
file('theBenchmark.p',ttrue) ).
cnf(c_319,plain,
true,
inference(clausify,[status(thm)],[ttrue]) ).
cnf(c_372,negated_conjecture,
~ true,
inference(clausify,[status(thm)],[cl5_nebula_norm_0013_neg]) ).
cnf(c_373,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_319,c_372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.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 13:09:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2215526 was started by sandbox on n005,
% 0.10/0.37 % Sat Sep 26 13:09:17 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.42
% 0.10/0.42 % From the command line: assign(max_seconds, 300).
% 0.31/0.48
% 0.31/0.48 % SZS status Theorem for theBenchmark
% 0.31/0.48
% 0.31/0.48 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.31/0.48 % Length of proof is 4.
% 0.31/0.48 % Level of proof is 2.
% 0.31/0.48 % Maximum clause weight is 1.000.
% 0.31/0.48 % Given clauses 0.
% 0.31/0.48
% 0.31/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------