%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT055+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 : 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 01:25:28 PM UTC 2026
% Result : Theorem 0.14s 5.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 158 ( 20 unt; 20 def)
% Number of atoms : 510 ( 36 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 575 ( 223 ~; 223 |; 88 &)
% ( 29 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 21 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 180 ( 172 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(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(f7,axiom,
! [X] :
( has_endowment(X)
<=> ! [T] :
( ( greater(age(X,T),eta)
=> ~ has_immunity(X,T) )
& ( smaller_or_equal(age(X,T),eta)
=> has_immunity(X,T) )
& organization(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,T] :
( ( age(X,T) = zero
& organization(X) )
=> is_aligned(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,T0,T] :
( ( ~ is_aligned(X,T)
& is_aligned(X,T0)
& organization(X) )
=> greater(capability(X,T0),capability(X,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,T0,T] :
( ( age(X,T0) = zero
& organization(X) )
=> ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,T0,T] :
( ( greater(capability(X,T),capability(X,T0))
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,conjecture,
! [X,T0,T1,T2,T3] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ ! [X,T0,T1,T2,T3] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,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(f18,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)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f27,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f28,plain,
( ! [X,Y] :
( ~ greater(Y,X)
| smaller(X,Y) )
& ! [X,Y] :
( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f31,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
! [X,Z] :
( greater(X,Z)
| ! [Y] :
( ~ greater(Y,Z)
| ~ greater(X,Y) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [X] :
( has_endowment(X)
<=> ! [T] :
( ( ~ has_immunity(X,T)
| ~ greater(age(X,T),eta) )
& ( has_immunity(X,T)
| ~ smaller_or_equal(age(X,T),eta) )
& organization(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f38,plain,
! [X] :
( ( ? [T] :
( ( has_immunity(X,T)
& greater(age(X,T),eta) )
| ( ~ has_immunity(X,T)
& smaller_or_equal(age(X,T),eta) )
| ~ organization(X) )
| has_endowment(X) )
& ( ! [T] :
( ( ~ has_immunity(X,T)
| ~ greater(age(X,T),eta) )
& ( has_immunity(X,T)
| ~ smaller_or_equal(age(X,T),eta) )
& organization(X) )
| ~ has_endowment(X) ) ),
inference(NNF_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
( ! [X] :
( ? [T] :
( has_immunity(X,T)
& greater(age(X,T),eta) )
| ? [T] :
( ~ has_immunity(X,T)
& smaller_or_equal(age(X,T),eta) )
| ~ organization(X)
| has_endowment(X) )
& ! [X] :
( ( ! [T] :
( ~ has_immunity(X,T)
| ~ greater(age(X,T),eta) )
& ! [T] :
( has_immunity(X,T)
| ~ smaller_or_equal(age(X,T),eta) )
& organization(X) )
| ~ has_endowment(X) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
( ! [X] :
( ( has_immunity(X,sK1_skl(X))
& greater(age(X,sK1_skl(X)),eta) )
| ( ~ has_immunity(X,sK0_skl(X))
& smaller_or_equal(age(X,sK0_skl(X)),eta) )
| ~ organization(X)
| has_endowment(X) )
& ! [X] :
( ( ! [T] :
( ~ has_immunity(X,T)
| ~ greater(age(X,T),eta) )
& ! [T] :
( has_immunity(X,T)
| ~ smaller_or_equal(age(X,T),eta) )
& organization(X) )
| ~ has_endowment(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl(X)),skolemize(T,sK1_skl(X))],[f39]) ).
fof(f42,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f43,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f48,plain,
! [X,T0,T] :
( hazard_of_mortality(X,T0) = hazard_of_mortality(X,T)
| ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X,T0,T] :
( greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f51,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ( is_aligned(X,T0)
<~> is_aligned(X,T) )
& organization(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f53,plain,
! [X,T0,T] :
( ( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ( ( ( ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( is_aligned(X,T)
| is_aligned(X,T0) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(NNF_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
( ! [X,T0,T] :
( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ! [X,T0,T] :
( ( ( ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( is_aligned(X,T)
| is_aligned(X,T0) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f58,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f60,plain,
! [X,T] :
( is_aligned(X,T)
| age(X,T) != zero
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f61,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X,T0,T] :
( greater(capability(X,T0),capability(X,T))
| is_aligned(X,T)
| ~ is_aligned(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f63,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X,T0,T] :
( ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) )
| age(X,T0) != zero
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f65,plain,
! [X,T0,T] :
( ( ( ~ dissimilar(X,T0,T)
| greater(age(X,T),sigma) )
& ( dissimilar(X,T0,T)
| ~ greater(age(X,T),sigma) ) )
| age(X,T0) != zero
| ~ organization(X) ),
inference(NNF_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X,T0] :
( ( ! [T] :
( ~ dissimilar(X,T0,T)
| greater(age(X,T),sigma) )
& ! [T] :
( dissimilar(X,T0,T)
| ~ greater(age(X,T),sigma) ) )
| age(X,T0) != zero
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
! [X,T0,T] :
( greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))
| ~ greater(capability(X,T),capability(X,T0))
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f70,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
? [X,T0,T1,T2,T3] :
( ( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
| ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
| ~ greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f72,plain,
( ( hazard_of_mortality(sK2_skl,sK4_skl) != hazard_of_mortality(sK2_skl,sK3_skl)
| ~ greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl))
| ~ greater(hazard_of_mortality(sK2_skl,sK6_skl),hazard_of_mortality(sK2_skl,sK5_skl)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(sK2_skl,sK6_skl),sigma)
& smaller_or_equal(age(sK2_skl,sK5_skl),sigma)
& greater(age(sK2_skl,sK5_skl),eta)
& smaller_or_equal(age(sK2_skl,sK4_skl),eta)
& age(sK2_skl,sK3_skl) = zero
& has_endowment(sK2_skl)
& organization(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(X,sK2_skl),skolemize(T0,sK3_skl),skolemize(T1,sK4_skl),skolemize(T2,sK5_skl),skolemize(T3,sK6_skl)],[f71]) ).
fof(f73,plain,
organization(sK2_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
has_endowment(sK2_skl),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f75,plain,
age(sK2_skl,sK3_skl) = zero,
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f76,plain,
smaller_or_equal(age(sK2_skl,sK4_skl),eta),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f77,plain,
greater(age(sK2_skl,sK5_skl),eta),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f78,plain,
smaller_or_equal(age(sK2_skl,sK5_skl),sigma),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f79,plain,
greater(age(sK2_skl,sK6_skl),sigma),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f80,plain,
greater(sigma,eta),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f81,plain,
greater(eta,zero),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f82,plain,
( hazard_of_mortality(sK2_skl,sK4_skl) != hazard_of_mortality(sK2_skl,sK3_skl)
| ~ greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl))
| ~ greater(hazard_of_mortality(sK2_skl,sK6_skl),hazard_of_mortality(sK2_skl,sK5_skl)) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f83,definition,
( sQ0_spl
<=> greater(hazard_of_mortality(sK2_skl,sK6_skl),hazard_of_mortality(sK2_skl,sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( sQ0_spl
| ~ greater(hazard_of_mortality(sK2_skl,sK6_skl),hazard_of_mortality(sK2_skl,sK5_skl)) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ1_spl
<=> greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( sQ1_spl
| ~ greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
( sQ2_spl
<=> hazard_of_mortality(sK2_skl,sK4_skl) = hazard_of_mortality(sK2_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( sQ2_spl
| hazard_of_mortality(sK2_skl,sK4_skl) != hazard_of_mortality(sK2_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f82,f83,f86,f89]) ).
fof(f96,plain,
~ greater(zero,eta),
inference(resolution,[status(thm)],[f32,f81]) ).
fof(f103,plain,
! [X0] :
( greater(X0,eta)
| ~ greater(X0,sigma) ),
inference(resolution,[status(thm)],[f35,f80]) ).
fof(f104,plain,
( has_immunity(sK2_skl,sK4_skl)
| ~ has_endowment(sK2_skl) ),
inference(resolution,[status(thm)],[f42,f76]) ).
fof(f105,plain,
( has_immunity(sK2_skl,sK3_skl)
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment(sK2_skl) ),
inference(paramodulation,[status(thm)],[f75,f42]) ).
fof(f106,definition,
( sQ3_spl
<=> has_endowment(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ3_spl
| ~ has_endowment(sK2_skl) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ4_spl
<=> has_immunity(sK2_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f104,f106,f109]) ).
fof(f113,definition,
( sQ5_spl
<=> smaller_or_equal(zero,eta) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ5_spl
| ~ smaller_or_equal(zero,eta) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ6_spl
<=> has_immunity(sK2_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f105,f106,f113,f116]) ).
fof(f120,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f74]) ).
fof(f121,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f120]) ).
fof(f128,plain,
smaller(zero,eta),
inference(resolution,[status(thm)],[f30,f81]) ).
fof(f131,plain,
smaller_or_equal(zero,eta),
inference(resolution,[status(thm)],[f128,f20]) ).
fof(f132,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f115]) ).
fof(f133,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f132]) ).
fof(f138,plain,
( age(sK2_skl,sK5_skl) = sigma
| smaller(age(sK2_skl,sK5_skl),sigma) ),
inference(resolution,[status(thm)],[f19,f78]) ).
fof(f155,definition,
( sQ11_spl
<=> smaller(age(sK2_skl,sK5_skl),sigma) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ11_spl
| smaller(age(sK2_skl,sK5_skl),sigma) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ12_spl
<=> age(sK2_skl,sK5_skl) = sigma ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ12_spl
| age(sK2_skl,sK5_skl) = sigma ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f138,f155,f158]) ).
fof(f221,plain,
( sQ2_spl
| ~ has_immunity(sK2_skl,sK3_skl)
| ~ has_immunity(sK2_skl,sK4_skl)
| ~ organization(sK2_skl) ),
inference(resolution,[status(thm)],[f49,f91]) ).
fof(f223,definition,
( sQ17_spl
<=> organization(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( sQ17_spl
| ~ organization(sK2_skl) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( sQ2_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f221,f223,f109,f116,f89]) ).
fof(f228,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f73]) ).
fof(f229,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f228]) ).
fof(f293,plain,
( ~ has_immunity(sK2_skl,sK5_skl)
| ~ has_endowment(sK2_skl) ),
inference(resolution,[status(thm)],[f77,f43]) ).
fof(f298,definition,
( sQ22_spl
<=> has_immunity(sK2_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ22_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f293,f106,f298]) ).
fof(f322,plain,
( is_aligned(sK2_skl,sK3_skl)
| ~ organization(sK2_skl) ),
inference(resolution,[status(thm)],[f75,f61]) ).
fof(f325,definition,
( sQ23_spl
<=> is_aligned(sK2_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( sQ23_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f322,f223,f325]) ).
fof(f334,plain,
greater(age(sK2_skl,sK6_skl),eta),
inference(resolution,[status(thm)],[f103,f79]) ).
fof(f357,plain,
( ~ sQ11_spl
| greater(sigma,age(sK2_skl,sK5_skl)) ),
inference(resolution,[status(thm)],[f156,f29]) ).
fof(f366,definition,
( sQ29_spl
<=> has_immunity(sK2_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ has_immunity(sK2_skl,sK6_skl)
| ~ has_endowment(sK2_skl) ),
inference(resolution,[status(thm)],[f334,f43]) ).
fof(f376,plain,
( ~ sQ29_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f370,f106,f366]) ).
fof(f390,definition,
( sQ31_spl
<=> is_aligned(sK2_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f395,plain,
! [X0] :
( dissimilar(sK2_skl,sK3_skl,X0)
| ~ greater(age(sK2_skl,X0),sigma)
| ~ organization(sK2_skl) ),
inference(resolution,[status(thm)],[f67,f75]) ).
fof(f397,definition,
! [X0] :
( sQ32_spl
<=> ( dissimilar(sK2_skl,sK3_skl,X0)
| ~ greater(age(sK2_skl,X0),sigma) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f398,plain,
! [X0] :
( ~ sQ32_spl
| dissimilar(sK2_skl,sK3_skl,X0)
| ~ greater(age(sK2_skl,X0),sigma) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( sQ32_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f395,f223,f397]) ).
fof(f402,plain,
! [X0,X1,X2] :
( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma)
| age(X0,X1) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f55]) ).
fof(f403,plain,
! [X0] :
( ~ dissimilar(sK2_skl,sK3_skl,X0)
| greater(age(sK2_skl,X0),sigma) ),
inference(resolution,[status(thm)],[f402,f75]) ).
fof(f453,definition,
( sQ37_spl
<=> is_aligned(sK2_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f457,definition,
( sQ38_spl
<=> greater(eta,eta) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ38_spl
| greater(eta,eta) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f468,plain,
( ~ sQ11_spl
| ~ greater(age(sK2_skl,sK5_skl),sigma) ),
inference(resolution,[status(thm)],[f357,f32]) ).
fof(f570,plain,
( sQ1_spl
| has_immunity(sK2_skl,sK5_skl)
| ~ has_immunity(sK2_skl,sK4_skl)
| ~ organization(sK2_skl) ),
inference(resolution,[status(thm)],[f88,f51]) ).
fof(f572,plain,
( sQ1_spl
| sQ22_spl
| ~ sQ4_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f570,f223,f109,f298,f86]) ).
fof(f607,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f51]) ).
fof(f608,plain,
! [X0,X1,X2] :
( is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(resolution,[status(thm)],[f607,f63]) ).
fof(f610,plain,
! [X0,X1,X2] :
( is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f608]) ).
fof(f800,definition,
( sQ60_spl
<=> greater(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ60_spl
| greater(sigma,sigma) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f809,plain,
( ~ sQ60_spl
| ~ greater(sigma,sigma) ),
inference(resolution,[status(thm)],[f801,f32]) ).
fof(f810,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f801]) ).
fof(f811,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f1014,definition,
( sQ69_spl
<=> age(sK2_skl,sK5_skl) = zero ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ69_spl
| age(sK2_skl,sK5_skl) = zero ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1026,plain,
( ~ sQ69_spl
| greater(zero,eta) ),
inference(backward_demodulation,[status(thm)],[f1015,f77]) ).
fof(f1035,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1026,f96]) ).
fof(f1036,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f1035]) ).
fof(f1143,plain,
( ~ sQ32_spl
| dissimilar(sK2_skl,sK3_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f398,f79]) ).
fof(f1153,plain,
( ~ sQ32_spl
| ~ is_aligned(sK2_skl,sK6_skl)
| ~ is_aligned(sK2_skl,sK3_skl) ),
inference(resolution,[status(thm)],[f1143,f57]) ).
fof(f1156,plain,
( ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1153,f325,f390,f397]) ).
fof(f1289,plain,
( ~ sQ11_spl
| ~ dissimilar(sK2_skl,sK3_skl,sK5_skl) ),
inference(resolution,[status(thm)],[f403,f468]) ).
fof(f1300,plain,
( ~ sQ11_spl
| is_aligned(sK2_skl,sK5_skl)
| ~ is_aligned(sK2_skl,sK3_skl)
| ~ organization(sK2_skl) ),
inference(resolution,[status(thm)],[f1289,f58]) ).
fof(f1302,plain,
( ~ sQ11_spl
| sQ37_spl
| ~ sQ23_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1300,f223,f325,f453,f155]) ).
fof(f1349,plain,
( ~ sQ38_spl
| ~ greater(eta,eta) ),
inference(resolution,[status(thm)],[f458,f32]) ).
fof(f1350,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f458]) ).
fof(f1351,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1350]) ).
fof(f1566,plain,
( sQ0_spl
| is_aligned(sK2_skl,sK6_skl)
| ~ is_aligned(sK2_skl,sK5_skl)
| has_immunity(sK2_skl,sK6_skl)
| ~ organization(sK2_skl) ),
inference(resolution,[status(thm)],[f85,f610]) ).
fof(f1569,plain,
( sQ0_spl
| sQ31_spl
| ~ sQ37_spl
| sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1566,f223,f366,f453,f390,f83]) ).
fof(f1593,plain,
( ~ sQ12_spl
| ~ dissimilar(sK2_skl,sK3_skl,sK5_skl)
| greater(sigma,sigma) ),
inference(paramodulation,[status(thm)],[f159,f403]) ).
fof(f1600,definition,
( sQ98_spl
<=> dissimilar(sK2_skl,sK3_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1602,plain,
( sQ98_spl
| ~ dissimilar(sK2_skl,sK3_skl,sK5_skl) ),
inference(component_clause,[status(thm)],[f1600]) ).
fof(f1603,plain,
( ~ sQ12_spl
| ~ sQ98_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1593,f800,f1600,f158]) ).
fof(f1611,plain,
( sQ98_spl
| is_aligned(sK2_skl,sK5_skl)
| ~ is_aligned(sK2_skl,sK3_skl)
| ~ organization(sK2_skl) ),
inference(resolution,[status(thm)],[f1602,f58]) ).
fof(f1613,plain,
( sQ98_spl
| sQ37_spl
| ~ sQ23_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1611,f223,f325,f453,f1600]) ).
fof(f1614,plain,
$false,
inference(sat_refutation,[status(thm)],[f92,f112,f119,f121,f133,f161,f226,f229,f301,f328,f376,f400,f572,f811,f1036,f1156,f1302,f1351,f1569,f1603,f1613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n017.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 01:19:33 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.14/5.44 % Refutation found
% 0.14/5.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.46 % Elapsed time: 0.084058 seconds
% 0.14/5.46 % CPU time: 0.355770 seconds
% 0.14/5.46 % Total memory used: 106.413 MB
% 0.14/5.46 % Net memory used: 105.760 MB
%------------------------------------------------------------------------------