%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:25:33 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 56 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 20 ~; 20 |; 7 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( ( less(Y,Z)
& leq(X,Y) )
=> less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
less(v400,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,conjecture,
! [X] :
( leq(v800,X)
=> leq(v400,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ ! [X] :
( leq(v800,X)
=> leq(v400,X) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f42,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(f43,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)],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( X0 = X1
| less(X0,X1)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f51,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ less(Y,Z)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f52,plain,
! [X,Z] :
( less(X,Z)
| ! [Y] :
( ~ less(Y,Z)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f123,plain,
less(v400,v800),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f127,plain,
? [X] :
( ~ leq(v400,X)
& leq(v800,X) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f128,plain,
( ~ leq(v400,sK3_skl)
& leq(v800,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X,sK3_skl)],[f127]) ).
fof(f129,plain,
leq(v800,sK3_skl),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
~ leq(v400,sK3_skl),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f132,plain,
leq(v400,v800),
inference(resolution,[status(thm)],[f45,f123]) ).
fof(f133,plain,
( v800 = sK3_skl
| less(v800,sK3_skl) ),
inference(resolution,[status(thm)],[f44,f129]) ).
fof(f141,plain,
! [X0] :
( less(v400,X0)
| ~ less(v800,X0) ),
inference(resolution,[status(thm)],[f53,f132]) ).
fof(f144,plain,
( v800 = sK3_skl
| less(v400,sK3_skl) ),
inference(resolution,[status(thm)],[f141,f133]) ).
fof(f145,plain,
( leq(v400,sK3_skl)
| v800 = sK3_skl ),
inference(resolution,[status(thm)],[f144,f45]) ).
fof(f146,plain,
v800 = sK3_skl,
inference(forward_subsumption_resolution,[status(thm)],[f145,f130]) ).
fof(f151,plain,
~ leq(v400,v800),
inference(backward_demodulation,[status(thm)],[f146,f130]) ).
fof(f153,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f151,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.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 21 01:25:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.059242 seconds
% 0.15/0.43 % CPU time: 0.156031 seconds
% 0.15/0.43 % Total memory used: 81.427 MB
% 0.15/0.43 % Net memory used: 81.348 MB
%------------------------------------------------------------------------------