%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT043+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 : n002.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 01:25:25 PM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 17 unt; 7 def)
% Number of atoms : 241 ( 48 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 266 ( 98 ~; 92 |; 53 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 79 !; 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(f2,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(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(f7,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( position(X,T) = position(X,T0)
& capability(X,T) = capability(X,T0) )
=> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) )
& ( ( greater(position(X,T),position(X,T0))
& greater_or_equal(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(position(X,T),position(X,T0))
& greater(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,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(f9,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) )
& ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,conjecture,
! [X,T0,T] :
( ( external_ties(X,T0) = external_ties(X,T)
& greater(internal_friction(X,T),internal_friction(X,T0))
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ ! [X,T0,T] :
( ( external_ties(X,T0) = external_ties(X,T)
& greater(internal_friction(X,T),internal_friction(X,T0))
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(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(f17,plain,
! [X,Y] :
( ( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
( ! [X,Y] :
( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ! [X,Y] :
( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f21,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
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(f32,plain,
! [X,T0,T] :
( ( ( hazard_of_mortality(X,T) = hazard_of_mortality(X,T0)
| position(X,T) != position(X,T0)
| capability(X,T) != capability(X,T0) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater(position(X,T),position(X,T0))
| ~ greater_or_equal(capability(X,T),capability(X,T0)) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| ~ greater(capability(X,T),capability(X,T0)) ) )
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f33,plain,
! [X0,X1,X2] :
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,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)],[f8]) ).
fof(f37,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)],[f36]) ).
fof(f39,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)],[f37]) ).
fof(f41,plain,
! [X,T0,T] :
( ( ( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
! [X] :
( ( ! [T0,T] :
( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ! [T0,T] :
( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f44,plain,
! [X0,X1,X2] :
( position(X0,X1) = position(X0,X2)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
? [X,T0,T] :
( ~ greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& external_ties(X,T0) = external_ties(X,T)
& greater(internal_friction(X,T),internal_friction(X,T0))
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
( ~ greater(hazard_of_mortality(sK0_skl,sK2_skl),hazard_of_mortality(sK0_skl,sK1_skl))
& external_ties(sK0_skl,sK1_skl) = external_ties(sK0_skl,sK2_skl)
& greater(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl))
& stock_of_knowledge(sK0_skl,sK2_skl) = stock_of_knowledge(sK0_skl,sK1_skl)
& ~ has_immunity(sK0_skl,sK2_skl)
& ~ has_immunity(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)],[f45]) ).
fof(f47,plain,
organization(sK0_skl),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
~ has_immunity(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f49,plain,
~ has_immunity(sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f50,plain,
stock_of_knowledge(sK0_skl,sK2_skl) = stock_of_knowledge(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f51,plain,
greater(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f52,plain,
external_ties(sK0_skl,sK1_skl) = external_ties(sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f53,plain,
~ greater(hazard_of_mortality(sK0_skl,sK2_skl),hazard_of_mortality(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f54,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f16]) ).
fof(f55,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f21]) ).
fof(f65,definition,
( sQ0_spl
<=> organization(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( sQ0_spl
| ~ organization(sK0_skl) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f76,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f47]) ).
fof(f77,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f76]) ).
fof(f122,plain,
! [X0,X1] :
( position(sK0_skl,X0) = position(sK0_skl,X1)
| external_ties(sK0_skl,X0) != external_ties(sK0_skl,X1) ),
inference(resolution,[status(thm)],[f44,f47]) ).
fof(f140,plain,
( smaller(capability(sK0_skl,sK2_skl),capability(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)],[f51,f39]) ).
fof(f145,definition,
( sQ10_spl
<=> smaller_or_equal(stock_of_knowledge(sK0_skl,sK2_skl),stock_of_knowledge(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( sQ10_spl
| ~ smaller_or_equal(stock_of_knowledge(sK0_skl,sK2_skl),stock_of_knowledge(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ11_spl
<=> smaller(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ11_spl
| smaller(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( sQ11_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f140,f65,f145,f148]) ).
fof(f152,plain,
( sQ10_spl
| ~ smaller_or_equal(stock_of_knowledge(sK0_skl,sK1_skl),stock_of_knowledge(sK0_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f50,f147]) ).
fof(f153,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f54]) ).
fof(f154,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f298,plain,
position(sK0_skl,sK1_skl) = position(sK0_skl,sK2_skl),
inference(resolution,[status(thm)],[f122,f52]) ).
fof(f317,definition,
( sQ25_spl
<=> has_immunity(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ25_spl
| has_immunity(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f336,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f318,f49]) ).
fof(f337,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f336]) ).
fof(f353,plain,
( ~ sQ11_spl
| greater(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK2_skl)) ),
inference(resolution,[status(thm)],[f149,f24]) ).
fof(f489,plain,
( ~ sQ11_spl
| smaller(hazard_of_mortality(sK0_skl,sK1_skl),hazard_of_mortality(sK0_skl,sK2_skl))
| ~ greater_or_equal(position(sK0_skl,sK1_skl),position(sK0_skl,sK2_skl))
| has_immunity(sK0_skl,sK1_skl)
| has_immunity(sK0_skl,sK2_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f353,f33]) ).
fof(f498,definition,
( sQ47_spl
<=> has_immunity(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ47_spl
| has_immunity(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ48_spl
<=> greater_or_equal(position(sK0_skl,sK1_skl),position(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ48_spl
| ~ greater_or_equal(position(sK0_skl,sK1_skl),position(sK0_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
( sQ49_spl
<=> smaller(hazard_of_mortality(sK0_skl,sK1_skl),hazard_of_mortality(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ49_spl
| smaller(hazard_of_mortality(sK0_skl,sK1_skl),hazard_of_mortality(sK0_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( ~ sQ11_spl
| sQ49_spl
| ~ sQ48_spl
| sQ47_spl
| sQ25_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f489,f65,f317,f498,f501,f504,f148]) ).
fof(f515,plain,
( sQ48_spl
| ~ greater_or_equal(position(sK0_skl,sK1_skl),position(sK0_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f298,f503]) ).
fof(f516,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f55]) ).
fof(f517,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f48]) ).
fof(f519,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f986,plain,
( ~ sQ49_spl
| greater(hazard_of_mortality(sK0_skl,sK2_skl),hazard_of_mortality(sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f505,f24]) ).
fof(f988,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f986,f53]) ).
fof(f989,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
$false,
inference(sat_refutation,[status(thm)],[f77,f151,f154,f337,f507,f517,f519,f989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 01:26:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.48 % Refutation found
% 0.15/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.50 % Elapsed time: 0.127491 seconds
% 0.15/0.50 % CPU time: 0.656499 seconds
% 0.15/0.50 % Total memory used: 109.515 MB
% 0.15/0.50 % Net memory used: 108.801 MB
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