%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT078+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 : 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 01:25:33 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 114 ( 31 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 134 ( 52 ~; 27 |; 51 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 53 ( 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( leq(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
less(v600,v1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
( v800 != v1200
& v600 != v1200
& v600 != v800
& v200 != v1200
& v200 != v800
& v200 != v600
& v32 != v1200
& v32 != v800
& v32 != v600
& v32 != v200
& v8 != v1200
& v8 != v800
& v8 != v600
& v8 != v200
& v8 != v32
& v0 != v1200
& v0 != v800
& v0 != v600
& v0 != v200
& v0 != v32
& v0 != v8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
~ ? [X,Y,Z] :
( leq(v8,Z)
& in_lopen(Z,v0,v32)
& leq(v200,Y)
& in_lopen(Y,v0,v800)
& leq(v1200,X)
& in_lopen(X,v0,v600) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ ~ ? [X,Y,Z] :
( leq(v8,Z)
& in_lopen(Z,v0,v32)
& leq(v200,Y)
& in_lopen(Y,v0,v800)
& leq(v1200,X)
& in_lopen(X,v0,v600) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f64,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(f65,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)],[f64]) ).
fof(f67,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f69,plain,
! [X,Y] :
( X = Y
| ~ leq(Y,X)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f79,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f80,plain,
! [X,Z] :
( leq(X,Z)
| ! [Y] :
( ~ leq(Y,Z)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f87,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f88,plain,
( ! [X,A,B] :
( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ! [X,A,B] :
( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f90,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f166,plain,
less(v600,v1200),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f187,plain,
v600 != v1200,
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f189,plain,
? [Z] :
( leq(v8,Z)
& in_lopen(Z,v0,v32)
& ? [Y] :
( leq(v200,Y)
& in_lopen(Y,v0,v800)
& ? [X] :
( leq(v1200,X)
& in_lopen(X,v0,v600) ) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f190,plain,
( leq(v8,sK3_skl)
& in_lopen(sK3_skl,v0,v32)
& leq(v200,sK4_skl)
& in_lopen(sK4_skl,v0,v800)
& leq(v1200,sK5_skl)
& in_lopen(sK5_skl,v0,v600) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(Z,sK3_skl),skolemize(Y,sK4_skl),skolemize(X,sK5_skl)],[f189]) ).
fof(f191,plain,
in_lopen(sK5_skl,v0,v600),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
leq(v1200,sK5_skl),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f296,plain,
leq(v600,v1200),
inference(resolution,[status(thm)],[f166,f67]) ).
fof(f317,plain,
! [X0] :
( leq(v1200,X0)
| ~ leq(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f81,f192]) ).
fof(f399,plain,
leq(sK5_skl,v600),
inference(resolution,[status(thm)],[f90,f191]) ).
fof(f422,plain,
( v600 = v1200
| ~ leq(v1200,v600) ),
inference(resolution,[status(thm)],[f296,f70]) ).
fof(f424,plain,
~ leq(v1200,v600),
inference(forward_subsumption_resolution,[status(thm)],[f422,f187]) ).
fof(f507,plain,
leq(v1200,v600),
inference(resolution,[status(thm)],[f399,f317]) ).
fof(f538,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f507,f424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % 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 01:29:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.059694 seconds
% 0.09/0.42 % CPU time: 0.169885 seconds
% 0.09/0.42 % Total memory used: 71.135 MB
% 0.09/0.42 % Net memory used: 71.001 MB
%------------------------------------------------------------------------------