%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 : Tue Sep 8 06:16:17 AM UTC 2026
% Result : Theorem 4.37s 4.62s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 29 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-6 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subs_present_no,axiom,
! [L1,H1,L2,H2] :
( ~ axis_subsumes(L1,H1,L2,H2)
=> subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ).
fof(no_subs_hint,axiom,
~ axis_subsumes(v0,v800,v0,v600) ).
fof(odrl653,conjecture,
subs_verdict(v0,v800,present,v0,v600,present) = conflict ).
fof(subgoal_0,plain,
subs_verdict(v0,v800,present,v0,v600,present) = conflict,
inference(strip,[],[odrl653]) ).
fof(negate_0_0,plain,
subs_verdict(v0,v800,present,v0,v600,present) != conflict,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
subs_verdict(v0,v800,present,v0,v600,present) != conflict,
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [H1,H2,L1,L2] :
( subs_verdict(L1,H1,present,L2,H2,present) = conflict
| axis_subsumes(L1,H1,L2,H2) ),
inference(canonicalize,[],[subs_present_no]) ).
fof(normalize_0_2,plain,
! [H1,H2,L1,L2] :
( subs_verdict(L1,H1,present,L2,H2,present) = conflict
| axis_subsumes(L1,H1,L2,H2) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
~ axis_subsumes(v0,v800,v0,v600),
inference(canonicalize,[],[no_subs_hint]) ).
cnf(refute_0_0,plain,
subs_verdict(v0,v800,present,v0,v600,present) != conflict,
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( subs_verdict(L1,H1,present,L2,H2,present) = conflict
| axis_subsumes(L1,H1,L2,H2) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( subs_verdict(v0,v800,present,v0,v600,present) = conflict
| axis_subsumes(v0,v800,v0,v600) ),
inference(subst,[],[refute_0_1:[bind(H1,$fot(v800)),bind(H2,$fot(v600)),bind(L1,$fot(v0)),bind(L2,$fot(v0))]]) ).
cnf(refute_0_3,plain,
( conflict != conflict
| subs_verdict(v0,v800,present,v0,v600,present) != conflict
| subs_verdict(v0,v800,present,v0,v600,present) = conflict ),
introduced(tautology,[equality,[$cnf( $equal(subs_verdict(v0,v800,present,v0,v600,present),conflict) ),[1],$fot(conflict)]]) ).
cnf(refute_0_4,plain,
( conflict != conflict
| subs_verdict(v0,v800,present,v0,v600,present) = conflict
| axis_subsumes(v0,v800,v0,v600) ),
inference(resolve,[$cnf( $equal(subs_verdict(v0,v800,present,v0,v600,present),conflict) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( conflict != conflict
| axis_subsumes(v0,v800,v0,v600) ),
inference(resolve,[$cnf( $equal(subs_verdict(v0,v800,present,v0,v600,present),conflict) )],[refute_0_4,refute_0_0]) ).
cnf(refute_0_6,plain,
conflict = conflict,
introduced(tautology,[refl,[$fot(conflict)]]) ).
cnf(refute_0_7,plain,
axis_subsumes(v0,v800,v0,v600),
inference(resolve,[$cnf( $equal(conflict,conflict) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
~ axis_subsumes(v0,v800,v0,v600),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( axis_subsumes(v0,v800,v0,v600) )],[refute_0_7,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 14:25:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.37/4.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.37/4.62
% 4.37/4.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.37/4.62
%------------------------------------------------------------------------------