%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT077+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 : n014.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 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 15 unt; 6 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 55 ~; 46 |; 11 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 31 ( 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X,A,B] :
( in_open(X,A,B)
<=> ( less(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
less(v0,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
less(v0,v500),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
less(v100,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
less(v200,v500),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
less(v500,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,conjecture,
? [X,Y] :
( in_open(Y,v0,v500)
& less(v100,Y)
& in_open(X,v0,v800)
& less(v200,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
~ ? [X,Y] :
( in_open(Y,v0,v500)
& less(v100,Y)
& in_open(X,v0,v800)
& less(v200,X) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f89,plain,
! [X,A,B] :
( ( ~ less(X,B)
| ~ less(A,X)
| in_open(X,A,B) )
& ( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f90,plain,
( ! [X,A,B] :
( ~ less(X,B)
| ~ less(A,X)
| in_open(X,A,B) )
& ! [X,A,B] :
( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ less(X0,X2)
| ~ less(X1,X0)
| in_open(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f138,plain,
less(v0,v200),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f139,plain,
less(v0,v500),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f141,plain,
less(v100,v200),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f144,plain,
less(v200,v500),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f146,plain,
less(v500,v800),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f157,plain,
! [X,Y] :
( ~ in_open(Y,v0,v500)
| ~ less(v100,Y)
| ~ in_open(X,v0,v800)
| ~ less(v200,X) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f158,plain,
! [Y] :
( ~ in_open(Y,v0,v500)
| ~ less(v100,Y)
| ! [X] :
( ~ in_open(X,v0,v800)
| ~ less(v200,X) ) ),
inference(miniscoping,[status(thm)],[f157]) ).
fof(f159,plain,
! [X0,X1] :
( ~ in_open(X1,v0,v500)
| ~ less(v100,X1)
| ~ in_open(X0,v0,v800)
| ~ less(v200,X0) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,definition,
! [X0] :
( sQ0_spl
<=> ( ~ in_open(X0,v0,v800)
| ~ less(v200,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f161,plain,
! [X0] :
( ~ sQ0_spl
| ~ in_open(X0,v0,v800)
| ~ less(v200,X0) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
! [X1] :
( sQ1_spl
<=> ( ~ in_open(X1,v0,v500)
| ~ less(v100,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ1_spl
| ~ in_open(X0,v0,v500)
| ~ less(v100,X0) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f159,f160,f163]) ).
fof(f186,plain,
! [X0] :
( ~ sQ0_spl
| ~ less(v200,X0)
| ~ less(X0,v800)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[f93,f161]) ).
fof(f200,plain,
( ~ sQ0_spl
| ~ less(v500,v800)
| ~ less(v0,v500) ),
inference(resolution,[status(thm)],[f186,f144]) ).
fof(f209,definition,
( sQ4_spl
<=> less(v0,v500) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( sQ4_spl
| ~ less(v0,v500) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ5_spl
<=> less(v500,v800) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ5_spl
| ~ less(v500,v800) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f200,f209,f212,f160]) ).
fof(f218,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f139]) ).
fof(f219,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f146]) ).
fof(f221,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f222,plain,
! [X0] :
( ~ sQ1_spl
| ~ less(X0,v500)
| ~ less(v0,X0)
| ~ less(v100,X0) ),
inference(resolution,[status(thm)],[f164,f93]) ).
fof(f225,plain,
( ~ sQ1_spl
| ~ less(v200,v500)
| ~ less(v0,v200) ),
inference(resolution,[status(thm)],[f222,f141]) ).
fof(f235,definition,
( sQ8_spl
<=> less(v0,v200) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( sQ8_spl
| ~ less(v0,v200) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ9_spl
<=> less(v200,v500) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ9_spl
| ~ less(v200,v500) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f225,f235,f238,f163]) ).
fof(f242,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f237,f138]) ).
fof(f243,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f144]) ).
fof(f245,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f246,plain,
$false,
inference(sat_refutation,[status(thm)],[f166,f215,f219,f221,f241,f243,f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:24:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.063358 seconds
% 0.13/0.43 % CPU time: 0.161470 seconds
% 0.13/0.43 % Total memory used: 82.327 MB
% 0.13/0.43 % Net memory used: 82.211 MB
%------------------------------------------------------------------------------