%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT106+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 : n020.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 01:25:36 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 59 ( 11 unt; 6 def)
% Number of atoms : 139 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 135 ( 55 ~; 57 |; 13 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z] :
( ( less(Y,Z)
& less(X,Y) )
=> less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f32,axiom,
less(v600,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( v600 != v800
& v0 != v800
& v0 != v600 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
in_lopen(w,v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
leq(v800,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ less(Y,Z)
| ~ less(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
! [X,Z] :
( less(X,Z)
| ! [Y] :
( ~ less(Y,Z)
| ~ less(X,Y) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
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(f47,plain,
! [X,Y] :
( X = Y
| ~ leq(Y,X)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f65,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(f66,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)],[f65]) ).
fof(f68,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f122,plain,
less(v600,v800),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f125,plain,
v600 != v800,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f127,plain,
in_lopen(w,v0,v600),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f128,plain,
leq(v800,w),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f143,plain,
! [X0] :
( less(X0,v800)
| ~ less(X0,v600) ),
inference(resolution,[status(thm)],[f122,f40]) ).
fof(f144,plain,
( w = v800
| ~ leq(w,v800) ),
inference(resolution,[status(thm)],[f128,f48]) ).
fof(f146,definition,
( sQ0_spl
<=> leq(w,v800) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ0_spl
| ~ leq(w,v800) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ1_spl
<=> w = v800 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ1_spl
| w = v800 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f144,f146,f149]) ).
fof(f159,plain,
( ~ sQ1_spl
| in_lopen(v800,v0,v600) ),
inference(forward_demodulation,[status(thm)],[f150,f127]) ).
fof(f166,plain,
( ~ sQ1_spl
| leq(v800,v600) ),
inference(resolution,[status(thm)],[f68,f159]) ).
fof(f169,plain,
( ~ sQ1_spl
| v600 = v800
| ~ leq(v600,v800) ),
inference(resolution,[status(thm)],[f166,f48]) ).
fof(f171,definition,
( sQ3_spl
<=> leq(v600,v800) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( sQ3_spl
| ~ leq(v600,v800) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,definition,
( sQ4_spl
<=> v600 = v800 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ4_spl
| v600 = v800 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( ~ sQ1_spl
| sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f169,f171,f174,f149]) ).
fof(f182,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f125]) ).
fof(f183,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f182]) ).
fof(f186,plain,
( sQ0_spl
| ~ less(w,v800) ),
inference(resolution,[status(thm)],[f148,f45]) ).
fof(f197,plain,
( sQ3_spl
| ~ less(v600,v800) ),
inference(resolution,[status(thm)],[f173,f45]) ).
fof(f198,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f197,f122]) ).
fof(f199,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f198]) ).
fof(f220,plain,
leq(w,v600),
inference(resolution,[status(thm)],[f127,f68]) ).
fof(f226,plain,
( w = v600
| less(w,v600) ),
inference(resolution,[status(thm)],[f220,f44]) ).
fof(f230,definition,
( sQ9_spl
<=> v600 = w ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ9_spl
| v600 = w ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f234,definition,
( sQ10_spl
<=> less(w,v600) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ10_spl
| less(w,v600) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ9_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f226,f234,f230]) ).
fof(f240,plain,
( sQ0_spl
| ~ sQ9_spl
| ~ less(v600,v800) ),
inference(backward_demodulation,[status(thm)],[f231,f186]) ).
fof(f246,plain,
( sQ0_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f122]) ).
fof(f247,plain,
( sQ0_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f292,plain,
( sQ0_spl
| ~ less(w,v600) ),
inference(resolution,[status(thm)],[f143,f186]) ).
fof(f295,plain,
( sQ0_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f235]) ).
fof(f296,plain,
( sQ0_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f295]) ).
fof(f297,plain,
$false,
inference(sat_refutation,[status(thm)],[f152,f177,f183,f199,f237,f247,f296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n020.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 01:26:32 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.037296 seconds
% 0.14/0.40 % CPU time: 0.092379 seconds
% 0.14/0.40 % Total memory used: 3.193 MB
% 0.14/0.40 % Net memory used: 3.116 MB
%------------------------------------------------------------------------------