%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT048+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:25:26 PM UTC 2026
% Result : Theorem 0.03s 0.39s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 9 unt; 6 def)
% Number of atoms : 173 ( 27 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 183 ( 74 ~; 70 |; 23 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 74 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( internal_friction(X,T) = internal_friction(X,T0)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
=> capability(X,T) = capability(X,T0) )
& ( ( greater(internal_friction(X,T),internal_friction(X,T0))
& smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,T0,T] :
( organization(X)
=> stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(internal_friction(X,T),internal_friction(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> smaller(capability(X,T),capability(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ ! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> smaller(capability(X,T),capability(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X,Y] :
( ( ( X != Y
& ~ smaller(X,Y) )
| smaller_or_equal(X,Y) )
& ( X = Y
| smaller(X,Y)
| ~ smaller_or_equal(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
( ! [X,Y] :
( ( X != Y
& ~ smaller(X,Y) )
| smaller_or_equal(X,Y) )
& ! [X,Y] :
( X = Y
| smaller(X,Y)
| ~ smaller_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f22,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
( ! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) )
& ! [X,Y] :
( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f31,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f32,plain,
! [X,T0,T] :
( ( ( capability(X,T) = capability(X,T0)
| internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0) )
& ( smaller(capability(X,T),capability(X,T0))
| ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
& ( greater(capability(X,T),capability(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) )
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f33,plain,
! [X] :
( ( ! [T0,T] :
( capability(X,T) = capability(X,T0)
| internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0) )
& ! [T0,T] :
( smaller(capability(X,T),capability(X,T0))
| ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
& ! [T0,T] :
( greater(capability(X,T),capability(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) )
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f35,plain,
! [X0,X1,X2] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f37,plain,
! [X,T0,T] :
( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f38,plain,
! [X] :
( ! [T0,T] : stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X,T0,T] :
( greater(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
? [X,T0,T] :
( ~ smaller(capability(X,T),capability(X,T0))
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f43,plain,
( ~ smaller(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl))
& greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl))
& organization(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(T0,sK1_skl),skolemize(T,sK2_skl)],[f42]) ).
fof(f44,plain,
organization(sK0_skl),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f46,plain,
~ smaller(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f47,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f16]) ).
fof(f51,plain,
~ greater(age(sK0_skl,sK1_skl),age(sK0_skl,sK2_skl)),
inference(resolution,[status(thm)],[f27,f45]) ).
fof(f56,plain,
( ~ greater(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl))
| ~ smaller_or_equal(stock_of_knowledge(sK0_skl,sK2_skl),stock_of_knowledge(sK0_skl,sK1_skl))
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f35,f46]) ).
fof(f57,definition,
( sQ0_spl
<=> organization(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( sQ0_spl
| ~ organization(sK0_skl) ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,definition,
( sQ1_spl
<=> smaller_or_equal(stock_of_knowledge(sK0_skl,sK2_skl),stock_of_knowledge(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f62,plain,
( sQ1_spl
| ~ smaller_or_equal(stock_of_knowledge(sK0_skl,sK2_skl),stock_of_knowledge(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,definition,
( sQ2_spl
<=> greater(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( sQ2_spl
| ~ greater(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f57,f60,f63]) ).
fof(f78,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f44]) ).
fof(f79,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f78]) ).
fof(f81,plain,
~ smaller(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl)),
inference(resolution,[status(thm)],[f51,f24]) ).
fof(f98,definition,
( sQ8_spl
<=> age(sK0_skl,sK1_skl) = age(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ8_spl
| age(sK0_skl,sK1_skl) = age(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f165,definition,
( sQ16_spl
<=> stock_of_knowledge(sK0_skl,sK1_skl) = stock_of_knowledge(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ16_spl
| stock_of_knowledge(sK0_skl,sK1_skl) = stock_of_knowledge(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ16_spl
| stock_of_knowledge(sK0_skl,sK1_skl) != stock_of_knowledge(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f169,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ smaller_or_equal(stock_of_knowledge(sK0_skl,sK1_skl),stock_of_knowledge(sK0_skl,sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f166,f62]) ).
fof(f171,plain,
( sQ1_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f47]) ).
fof(f172,plain,
( sQ1_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ16_spl
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f167,f39]) ).
fof(f175,plain,
( sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f173,f57,f165]) ).
fof(f211,plain,
( greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl))
| age(sK0_skl,sK2_skl) = age(sK0_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f81,f31]) ).
fof(f217,definition,
( sQ20_spl
<=> greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ20_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f211,f98,f217]) ).
fof(f222,plain,
( ~ sQ8_spl
| ~ greater(age(sK0_skl,sK1_skl),age(sK0_skl,sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f99,f51]) ).
fof(f223,plain,
( ~ sQ8_spl
| greater(age(sK0_skl,sK1_skl),age(sK0_skl,sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f99,f45]) ).
fof(f225,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f222]) ).
fof(f226,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f233,plain,
( sQ2_spl
| ~ greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl))
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f65,f41]) ).
fof(f237,plain,
( sQ2_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f233,f57,f217,f63]) ).
fof(f245,plain,
$false,
inference(sat_refutation,[status(thm)],[f66,f79,f172,f175,f220,f226,f237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT048+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:19:12 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.39 % Refutation found
% 0.03/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.42 % Elapsed time: 0.055414 seconds
% 0.03/0.42 % CPU time: 0.176234 seconds
% 0.03/0.42 % Total memory used: 81.108 MB
% 0.03/0.42 % Net memory used: 80.686 MB
%------------------------------------------------------------------------------