%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT079+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 : n019.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 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 63 ( 16 unt; 7 def)
% Number of atoms : 174 ( 36 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 199 ( 88 ~; 59 |; 42 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 63 ( 57 !; 6 ?)
% 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(f11,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( leq(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
less(v0,v32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
less(v0,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
less(v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
less(v16,v32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
( v800 != v1200
& v600 != v1200
& v600 != v800
& v400 != v1200
& v400 != v800
& v400 != v600
& v32 != v1200
& v32 != v800
& v32 != v600
& v32 != v400
& v16 != v1200
& v16 != v800
& v16 != v600
& v16 != v400
& v16 != v32
& v0 != v1200
& v0 != v800
& v0 != v600
& v0 != v400
& v0 != v32
& v0 != v16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
? [X,Y,Z] :
( ~ ( in_lopen(Z,v0,v16)
& in_lopen(Y,v0,v800)
& in_lopen(X,v0,v1200) )
& in_lopen(Z,v0,v32)
& in_lopen(Y,v0,v400)
& in_lopen(X,v0,v600) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ ? [X,Y,Z] :
( ~ ( in_lopen(Z,v0,v16)
& in_lopen(Y,v0,v800)
& in_lopen(X,v0,v1200) )
& in_lopen(Z,v0,v32)
& in_lopen(Y,v0,v400)
& 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(f68,plain,
! [X0,X1] :
( 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(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(f91,plain,
! [X0,X1,X2] :
( ~ leq(X0,X2)
| ~ less(X1,X0)
| in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f148,plain,
less(v0,v32),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f149,plain,
less(v0,v400),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f150,plain,
less(v0,v600),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f153,plain,
less(v16,v32),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f174,plain,
v16 != v32,
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f189,plain,
! [X,Y,Z] :
( ( in_lopen(Z,v0,v16)
& in_lopen(Y,v0,v800)
& in_lopen(X,v0,v1200) )
| ~ in_lopen(Z,v0,v32)
| ~ in_lopen(Y,v0,v400)
| ~ in_lopen(X,v0,v600) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f192,plain,
! [X0,X1,X2] :
( in_lopen(X2,v0,v16)
| ~ in_lopen(X2,v0,v32)
| ~ in_lopen(X1,v0,v400)
| ~ in_lopen(X0,v0,v600) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f196,definition,
! [X1] :
( sQ1_spl
<=> ~ in_lopen(X1,v0,v400) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f197,plain,
! [X0] :
( ~ sQ1_spl
| ~ in_lopen(X0,v0,v400) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f203,definition,
! [X0] :
( sQ3_spl
<=> ~ in_lopen(X0,v0,v600) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f204,plain,
! [X0] :
( ~ sQ3_spl
| ~ in_lopen(X0,v0,v600) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f210,definition,
! [X2] :
( sQ5_spl
<=> ( in_lopen(X2,v0,v16)
| ~ in_lopen(X2,v0,v32) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f211,plain,
! [X0] :
( ~ sQ5_spl
| in_lopen(X0,v0,v16)
| ~ in_lopen(X0,v0,v32) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( sQ5_spl
| sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f192,f203,f196,f210]) ).
fof(f214,plain,
! [X0] : leq(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f68]) ).
fof(f228,plain,
! [X0,X1] :
( ~ less(X1,X0)
| in_lopen(X0,X1,X0) ),
inference(resolution,[status(thm)],[f214,f91]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ~ in_lopen(X1,X2,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(resolution,[status(thm)],[f70,f90]) ).
fof(f259,plain,
( ~ sQ3_spl
| ~ less(v0,v600) ),
inference(resolution,[status(thm)],[f228,f204]) ).
fof(f260,plain,
( ~ sQ1_spl
| ~ less(v0,v400) ),
inference(resolution,[status(thm)],[f228,f197]) ).
fof(f263,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f150]) ).
fof(f264,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f149]) ).
fof(f266,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f265]) ).
fof(f286,plain,
( ~ sQ5_spl
| ~ less(v0,v32)
| in_lopen(v32,v0,v16) ),
inference(resolution,[status(thm)],[f211,f228]) ).
fof(f287,definition,
( sQ14_spl
<=> in_lopen(v32,v0,v16) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ14_spl
| in_lopen(v32,v0,v16) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
( sQ15_spl
<=> less(v0,v32) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( sQ15_spl
| ~ less(v0,v32) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f286,f287,f290,f210]) ).
fof(f339,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f148]) ).
fof(f340,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f339]) ).
fof(f355,plain,
! [X0,X1,X2] :
( ~ less(X0,X1)
| ~ in_lopen(X1,X2,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[f233,f67]) ).
fof(f358,plain,
( ~ sQ14_spl
| ~ less(v16,v32)
| v16 = v32 ),
inference(resolution,[status(thm)],[f355,f288]) ).
fof(f365,definition,
( sQ22_spl
<=> v16 = v32 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ22_spl
| v16 = v32 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ23_spl
<=> less(v16,v32) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( sQ23_spl
| ~ less(v16,v32) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( ~ sQ14_spl
| ~ sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f358,f365,f368,f287]) ).
fof(f391,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f174]) ).
fof(f392,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f395,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f370,f153]) ).
fof(f396,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f395]) ).
fof(f397,plain,
$false,
inference(sat_refutation,[status(thm)],[f213,f264,f266,f293,f340,f371,f392,f396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:24:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.055956 seconds
% 0.09/0.43 % CPU time: 0.163359 seconds
% 0.09/0.43 % Total memory used: 60.196 MB
% 0.09/0.43 % Net memory used: 60.085 MB
%------------------------------------------------------------------------------