%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Thu Sep 24 01:25:35 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 36 ( 15 ~; 13 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [U,L] :
( prec(U,L,o,o)
<=> leq(U,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
prec(v5,v5,o,o),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ prec(v5,v5,o,o),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f55,plain,
! [X,Y] :
( ( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
( ! [X,Y] :
( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ! [X,Y] :
( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f59,plain,
! [X0,X1] :
( X0 != X1
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f148,plain,
! [U,L] :
( ( ~ leq(U,L)
| prec(U,L,o,o) )
& ( leq(U,L)
| ~ prec(U,L,o,o) ) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f149,plain,
( ! [U,L] :
( ~ leq(U,L)
| prec(U,L,o,o) )
& ! [U,L] :
( leq(U,L)
| ~ prec(U,L,o,o) ) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f151,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| prec(X0,X1,o,o) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f168,plain,
~ prec(v5,v5,o,o),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f169,plain,
! [X0] : leq(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f59]) ).
fof(f179,plain,
~ leq(v5,v5),
inference(resolution,[status(thm)],[f151,f168]) ).
fof(f182,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f179,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:30:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.055499 seconds
% 0.13/0.41 % CPU time: 0.149202 seconds
% 0.13/0.41 % Total memory used: 81.912 MB
% 0.13/0.41 % Net memory used: 81.837 MB
%------------------------------------------------------------------------------