%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n001.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 183.46s 183.72s
% Output : CNFRefutation 183.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 94 ( 45 ~; 42 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_implies_leq,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ) ).
fof(leq_trans,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ) ).
fof(sharpness_conflict,axiom,
! [U,V,InfD,SupD] :
( ( leq(InfD,U)
& leq(U,SupD)
& less(U,V)
& leq(V,SupD) )
=> completion_conflict(U,V,InfD,SupD) ) ).
fof(ord_v0_v400,axiom,
less(v0,v400) ).
fof(ord_v400_v800,axiom,
less(v400,v800) ).
fof(ord_v800_v1200,axiom,
less(v800,v1200) ).
fof(odrl633,conjecture,
completion_conflict(v400,v800,v0,v1200) ).
fof(subgoal_0,plain,
completion_conflict(v400,v800,v0,v1200),
inference(strip,[],[odrl633]) ).
fof(negate_0_0,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
less(v0,v400),
inference(canonicalize,[],[ord_v0_v400]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ less(X,Y)
| leq(X,Y) ),
inference(canonicalize,[],[less_implies_leq]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ~ less(X,Y)
| leq(X,Y) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
less(v800,v1200),
inference(canonicalize,[],[ord_v800_v1200]) ).
fof(normalize_0_4,plain,
less(v400,v800),
inference(canonicalize,[],[ord_v400_v800]) ).
fof(normalize_0_5,plain,
! [InfD,SupD,U,V] :
( ~ leq(InfD,U)
| ~ leq(U,SupD)
| ~ leq(V,SupD)
| ~ less(U,V)
| completion_conflict(U,V,InfD,SupD) ),
inference(canonicalize,[],[sharpness_conflict]) ).
fof(normalize_0_6,plain,
! [InfD,SupD,U,V] :
( ~ leq(InfD,U)
| ~ leq(U,SupD)
| ~ leq(V,SupD)
| ~ less(U,V)
| completion_conflict(U,V,InfD,SupD) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(canonicalize,[],[leq_trans]) ).
fof(normalize_0_8,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
less(v0,v400),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ less(X,Y)
| leq(X,Y) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ less(v0,v400)
| leq(v0,v400) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(v0)),bind(Y,$fot(v400))]]) ).
cnf(refute_0_3,plain,
leq(v0,v400),
inference(resolve,[$cnf( less(v0,v400) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
less(v800,v1200),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_5,plain,
( ~ less(v800,v1200)
| leq(v800,v1200) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(v800)),bind(Y,$fot(v1200))]]) ).
cnf(refute_0_6,plain,
leq(v800,v1200),
inference(resolve,[$cnf( less(v800,v1200) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
less(v400,v800),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_8,plain,
( ~ leq(InfD,U)
| ~ leq(U,SupD)
| ~ leq(V,SupD)
| ~ less(U,V)
| completion_conflict(U,V,InfD,SupD) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_9,plain,
( ~ leq(X_17197,v400)
| ~ leq(v400,X_17198)
| ~ leq(v800,X_17198)
| ~ less(v400,v800)
| completion_conflict(v400,v800,X_17197,X_17198) ),
inference(subst,[],[refute_0_8:[bind(InfD,$fot(X_17197)),bind(SupD,$fot(X_17198)),bind(U,$fot(v400)),bind(V,$fot(v800))]]) ).
cnf(refute_0_10,plain,
( ~ leq(X_17197,v400)
| ~ leq(v400,X_17198)
| ~ leq(v800,X_17198)
| completion_conflict(v400,v800,X_17197,X_17198) ),
inference(resolve,[$cnf( less(v400,v800) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ leq(X_17222,v400)
| ~ leq(v400,v1200)
| ~ leq(v800,v1200)
| completion_conflict(v400,v800,X_17222,v1200) ),
inference(subst,[],[refute_0_10:[bind(X_17197,$fot(X_17222)),bind(X_17198,$fot(v1200))]]) ).
cnf(refute_0_12,plain,
( ~ leq(X_17222,v400)
| ~ leq(v400,v1200)
| completion_conflict(v400,v800,X_17222,v1200) ),
inference(resolve,[$cnf( leq(v800,v1200) )],[refute_0_6,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ less(v400,v800)
| leq(v400,v800) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(v400)),bind(Y,$fot(v800))]]) ).
cnf(refute_0_14,plain,
leq(v400,v800),
inference(resolve,[$cnf( less(v400,v800) )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_16,plain,
( ~ leq(X_60,v800)
| ~ leq(v800,v1200)
| leq(X_60,v1200) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_60)),bind(Y,$fot(v800)),bind(Z,$fot(v1200))]]) ).
cnf(refute_0_17,plain,
( ~ leq(X_60,v800)
| leq(X_60,v1200) ),
inference(resolve,[$cnf( leq(v800,v1200) )],[refute_0_6,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ leq(v400,v800)
| leq(v400,v1200) ),
inference(subst,[],[refute_0_17:[bind(X_60,$fot(v400))]]) ).
cnf(refute_0_19,plain,
leq(v400,v1200),
inference(resolve,[$cnf( leq(v400,v800) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ leq(X_17222,v400)
| completion_conflict(v400,v800,X_17222,v1200) ),
inference(resolve,[$cnf( leq(v400,v1200) )],[refute_0_19,refute_0_12]) ).
cnf(refute_0_21,plain,
( ~ leq(v0,v400)
| completion_conflict(v400,v800,v0,v1200) ),
inference(subst,[],[refute_0_20:[bind(X_17222,$fot(v0))]]) ).
cnf(refute_0_22,plain,
completion_conflict(v400,v800,v0,v1200),
inference(resolve,[$cnf( leq(v0,v400) )],[refute_0_3,refute_0_21]) ).
cnf(refute_0_23,plain,
~ completion_conflict(v400,v800,v0,v1200),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( completion_conflict(v400,v800,v0,v1200) )],[refute_0_22,refute_0_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.10/0.36 % Computer : n001.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 : Mon Sep 7 14:29:22 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 183.46/183.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 183.46/183.72
% 183.46/183.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 183.46/183.73
%------------------------------------------------------------------------------