%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT046+1 : TPTP v9.3.1. Released v2.4.0.
% 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 01:25:26 PM UTC 2026
% Result : Theorem 0.09s 0.48s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 116 ( 10 unt; 12 def)
% Number of atoms : 360 ( 42 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 413 ( 169 ~; 165 |; 46 &)
% ( 15 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 165 ( 162 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,T] :
( ( ~ has_endowment(X)
& organization(X) )
=> ~ has_immunity(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(external_ties(X,T),external_ties(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,T0,T] :
( organization(X)
=> internal_friction(X,T) = internal_friction(X,T0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& ~ has_endowment(X)
& organization(X) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& ~ has_endowment(X)
& organization(X) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,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(f17,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)],[f16]) ).
fof(f20,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,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(f22,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)],[f21]) ).
fof(f24,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f26,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
( ! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) )
& ! [X,Y] :
( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
! [X,Z] :
( greater(X,Z)
| ! [Y] :
( ~ greater(Y,Z)
| ~ greater(X,Y) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f36,plain,
! [X,T] :
( ~ has_immunity(X,T)
| has_endowment(X)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f37,plain,
! [X] :
( ! [T] : ~ has_immunity(X,T)
| has_endowment(X)
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,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)],[f8]) ).
fof(f41,plain,
! [X0,X1,X2] :
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f43,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)],[f9]) ).
fof(f44,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)],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f48,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)],[f10]) ).
fof(f49,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)],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( greater(position(X0,X1),position(X0,X2))
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f52,plain,
! [X,T0,T] :
( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f53,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X,T0,T] :
( greater(external_ties(X,T),external_ties(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f55,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X,T0,T] :
( internal_friction(X,T) = internal_friction(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f57,plain,
! [X] :
( ! [T0,T] : internal_friction(X,T) = internal_friction(X,T0)
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( internal_friction(X0,X1) = internal_friction(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
? [X,T0,T] :
( ~ smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& greater(age(X,T),age(X,T0))
& ~ has_endowment(X)
& organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
( ~ smaller(hazard_of_mortality(sK0_skl,sK2_skl),hazard_of_mortality(sK0_skl,sK1_skl))
& greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl))
& ~ has_endowment(sK0_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)],[f59]) ).
fof(f61,plain,
organization(sK0_skl),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
~ has_endowment(sK0_skl),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f63,plain,
greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f64,plain,
~ smaller(hazard_of_mortality(sK0_skl,sK2_skl),hazard_of_mortality(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f65,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f20]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ greater(X2,X0)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[f34,f31]) ).
fof(f72,plain,
( ~ greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl))
| ~ greater_or_equal(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl))
| has_immunity(sK0_skl,sK2_skl)
| has_immunity(sK0_skl,sK1_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f64,f41]) ).
fof(f77,definition,
( sQ0_spl
<=> organization(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( sQ0_spl
| ~ organization(sK0_skl) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,definition,
( sQ1_spl
<=> has_immunity(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ1_spl
| has_immunity(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ2_spl
<=> has_immunity(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ2_spl
| has_immunity(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ3_spl
<=> greater_or_equal(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( sQ3_spl
| ~ greater_or_equal(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
( sQ4_spl
<=> greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( sQ4_spl
| ~ greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f77,f80,f83,f86,f89]) ).
fof(f93,definition,
( sQ5_spl
<=> greater(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ5_spl
| greater(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f128,plain,
( ~ sQ2_spl
| has_endowment(sK0_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f84,f38]) ).
fof(f129,definition,
( sQ13_spl
<=> has_endowment(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ13_spl
| has_endowment(sK0_skl) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( ~ sQ2_spl
| sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f128,f77,f129,f83]) ).
fof(f133,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f61]) ).
fof(f134,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f62]) ).
fof(f136,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( ~ sQ1_spl
| has_endowment(sK0_skl)
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f81,f38]) ).
fof(f138,plain,
( ~ sQ1_spl
| sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f137,f77,f129,f80]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ greater(X3,X2)
| ~ greater(X1,X3)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[f69,f34]) ).
fof(f167,plain,
! [X0,X1] :
( greater(capability(sK0_skl,X0),capability(sK0_skl,X1))
| ~ smaller_or_equal(internal_friction(sK0_skl,X0),internal_friction(sK0_skl,X1))
| ~ greater(stock_of_knowledge(sK0_skl,X0),stock_of_knowledge(sK0_skl,X1)) ),
inference(resolution,[status(thm)],[f45,f61]) ).
fof(f170,plain,
! [X0,X1] :
( greater(position(sK0_skl,X0),position(sK0_skl,X1))
| ~ greater(external_ties(sK0_skl,X0),external_ties(sK0_skl,X1)) ),
inference(resolution,[status(thm)],[f50,f61]) ).
fof(f173,plain,
! [X0,X1] : internal_friction(sK0_skl,X0) = internal_friction(sK0_skl,X1),
inference(resolution,[status(thm)],[f58,f61]) ).
fof(f220,plain,
( sQ3_spl
| ~ greater(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f88,f24]) ).
fof(f224,definition,
( sQ18_spl
<=> capability(sK0_skl,sK2_skl) = capability(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ18_spl
| capability(sK0_skl,sK2_skl) = capability(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f237,plain,
! [X0,X1] :
( ~ greater(age(sK0_skl,X0),age(sK0_skl,X1))
| ~ organization(sK0_skl)
| greater(capability(sK0_skl,X0),capability(sK0_skl,X1))
| ~ smaller_or_equal(internal_friction(sK0_skl,X0),internal_friction(sK0_skl,X1)) ),
inference(resolution,[status(thm)],[f167,f53]) ).
fof(f241,definition,
! [X0,X1] :
( sQ19_spl
<=> ( ~ greater(age(sK0_skl,X0),age(sK0_skl,X1))
| greater(capability(sK0_skl,X0),capability(sK0_skl,X1))
| ~ smaller_or_equal(internal_friction(sK0_skl,X0),internal_friction(sK0_skl,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ greater(age(sK0_skl,X0),age(sK0_skl,X1))
| greater(capability(sK0_skl,X0),capability(sK0_skl,X1))
| ~ smaller_or_equal(internal_friction(sK0_skl,X0),internal_friction(sK0_skl,X1)) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( ~ sQ0_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f237,f241,f77]) ).
fof(f245,plain,
! [X0,X1] :
( ~ greater(age(sK0_skl,X0),age(sK0_skl,X1))
| ~ organization(sK0_skl)
| greater(position(sK0_skl,X0),position(sK0_skl,X1)) ),
inference(resolution,[status(thm)],[f170,f55]) ).
fof(f249,definition,
! [X0,X1] :
( sQ20_spl
<=> ( ~ greater(age(sK0_skl,X0),age(sK0_skl,X1))
| greater(position(sK0_skl,X0),position(sK0_skl,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f250,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ greater(age(sK0_skl,X0),age(sK0_skl,X1))
| greater(position(sK0_skl,X0),position(sK0_skl,X1)) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( ~ sQ0_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f245,f249,f77]) ).
fof(f393,plain,
( sQ3_spl
| ~ smaller(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK2_skl)) ),
inference(resolution,[status(thm)],[f220,f28]) ).
fof(f420,plain,
( ~ sQ19_spl
| greater(capability(sK0_skl,sK2_skl),capability(sK0_skl,sK1_skl))
| ~ smaller_or_equal(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f242,f63]) ).
fof(f424,definition,
( sQ27_spl
<=> smaller_or_equal(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( sQ27_spl
| ~ smaller_or_equal(internal_friction(sK0_skl,sK2_skl),internal_friction(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( ~ sQ19_spl
| sQ5_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f420,f424,f93,f241]) ).
fof(f447,plain,
( ~ sQ20_spl
| greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f250,f63]) ).
fof(f470,plain,
( sQ3_spl
| greater(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK2_skl))
| capability(sK0_skl,sK1_skl) = capability(sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f393,f35]) ).
fof(f483,definition,
( sQ33_spl
<=> greater(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ3_spl
| sQ33_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f470,f224,f483,f86]) ).
fof(f505,plain,
( ~ sQ5_spl
| ~ greater(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK2_skl))
| ~ greater(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK2_skl)) ),
inference(resolution,[status(thm)],[f94,f154]) ).
fof(f514,plain,
( ~ sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f505,f483,f93]) ).
fof(f549,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| greater(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f225,f94]) ).
fof(f554,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| ~ greater(capability(sK0_skl,sK1_skl),capability(sK0_skl,sK1_skl)) ),
inference(resolution,[status(thm)],[f549,f154]) ).
fof(f567,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f554,f549]) ).
fof(f568,plain,
( ~ sQ5_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f622,plain,
( ~ sQ20_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f91]) ).
fof(f623,plain,
( ~ sQ20_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f622]) ).
fof(f815,plain,
! [X0] :
( sQ27_spl
| ~ smaller_or_equal(internal_friction(sK0_skl,X0),internal_friction(sK0_skl,sK1_skl)) ),
inference(paramodulation,[status(thm)],[f173,f426]) ).
fof(f824,plain,
( sQ27_spl
| $false ),
inference(resolution,[status(thm)],[f815,f65]) ).
fof(f829,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f830,plain,
$false,
inference(sat_refutation,[status(thm)],[f92,f132,f134,f136,f138,f244,f252,f427,f486,f514,f568,f623,f829]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT046+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 01:24:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.48 % Refutation found
% 0.09/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.51 % Elapsed time: 0.139241 seconds
% 0.09/0.51 % CPU time: 0.783700 seconds
% 0.09/0.51 % Total memory used: 90.681 MB
% 0.09/0.51 % Net memory used: 89.715 MB
%------------------------------------------------------------------------------