%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:03:04 AM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 4 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 7 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_implies_leq,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('theBenchmark.p',less_implies_leq) ).
fof(leq_trans,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('theBenchmark.p',leq_trans) ).
fof(odrl311,conjecture,
! [X] :
( leq(v800,X)
=> leq(v400,X) ),
file('theBenchmark.p',odrl311) ).
fof(odrl311_neg,negated_conjecture,
~ ! [X] :
( leq(v800,X)
=> leq(v400,X) ),
inference(assume_negation,[status(cth)],[odrl311]) ).
fof(nnf_23,plain,
? [X] :
( ~ leq(v400,X)
& leq(v800,X) ),
inference(fof_nnf,[status(thm)],[odrl311_neg]) ).
fof(sk_odrl311_neg,plain,
( ~ leq(v400,sK0)
& leq(v800,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X,sK0)],[nnf_23]) ).
cnf(c_44,negated_conjecture,
~ leq(v400,sK0),
inference(split_conjunct,[status(thm)],[sk_odrl311_neg]) ).
cnf(c_45,negated_conjecture,
leq(v800,sK0),
inference(split_conjunct,[status(thm)],[sk_odrl311_neg]) ).
fof(ord_v400_v800,axiom,
less(v400,v800),
file('theBenchmark.p',ord_v400_v800) ).
cnf(c_51,plain,
less(v400,v800),
inference(clausify,[status(thm)],[ord_v400_v800]) ).
cnf(c_78,plain,
( leq(A,C)
| ~ leq(B,C)
| ~ leq(A,B) ),
inference(clausify,[status(thm)],[leq_trans]) ).
cnf(c_81,plain,
( leq(A,B)
| ~ less(A,B) ),
inference(clausify,[status(thm)],[less_implies_leq]) ).
cnf(c_133,negated_conjecture,
( leq(A,sK0)
| ~ leq(A,v800) ),
inference(resolve,[status(thm)],[c_78,c_45]) ).
cnf(c_121,negated_conjecture,
~ leq(v400,v800),
inference(resolve,[status(thm)],[c_133,c_44]) ).
cnf(c_134,plain,
leq(v400,v800),
inference(resolve,[status(thm)],[c_81,c_51]) ).
cnf(c_132,plain,
$false,
inference(resolve,[status(thm)],[c_121,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 00:11:40 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 4098579 was started by sandbox2 on n006,
% 0.18/0.44 % Sat Sep 26 00:11:40 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47
% 0.18/0.47 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.18/0.47 % Length of proof is 10.
% 0.18/0.47 % Level of proof is 3.
% 0.18/0.47 % Maximum clause weight is 14.000.
% 0.18/0.47 % Given clauses 30.
% 0.18/0.47
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------