%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:25:29 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 93 ( 20 unt; 12 def)
% Number of atoms : 199 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 196 ( 90 ~; 94 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( smaller(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] :
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C] :
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B,C] :
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater_or_equal(eta,sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
! [X0,X1] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f37,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
! [A,C] :
( greater(A,C)
| ! [B] :
( ~ greater(B,C)
| ~ greater(A,B) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f39,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f42,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f43,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f48,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)],[f19]) ).
fof(f49,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)],[f20]) ).
fof(f50,plain,
organization(sk2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f51,plain,
has_endowment(sk2),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f52,plain,
age(sk2,sk3) = zero,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f53,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f54,plain,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f55,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f56,plain,
greater(sigma,zero),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f57,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f58,definition,
( sQ0_spl
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( sQ0_spl
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,definition,
( sQ1_spl
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( sQ1_spl
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f58,f61]) ).
fof(f71,plain,
( eta = sigma
| greater(eta,sigma) ),
inference(resolution,[status(thm)],[f32,f55]) ).
fof(f76,definition,
( sQ3_spl
<=> sigma = zero ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ3_spl
| sigma = zero ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f80,definition,
( sQ4_spl
<=> greater(eta,sigma) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ4_spl
| greater(eta,sigma) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ5_spl
<=> eta = sigma ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ5_spl
| eta = sigma ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f71,f80,f83]) ).
fof(f90,plain,
! [X0] :
( greater(X0,zero)
| ~ greater(X0,sigma) ),
inference(resolution,[status(thm)],[f39,f56]) ).
fof(f91,plain,
( has_immunity(sk2,sk4)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[f42,f53]) ).
fof(f92,plain,
( has_immunity(sk2,sk3)
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment(sk2) ),
inference(paramodulation,[status(thm)],[f52,f42]) ).
fof(f93,definition,
( sQ6_spl
<=> has_endowment(sk2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( sQ6_spl
| ~ has_endowment(sk2) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ7_spl
<=> has_immunity(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f91,f93,f96]) ).
fof(f100,definition,
( sQ8_spl
<=> smaller_or_equal(zero,eta) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ8_spl
| ~ smaller_or_equal(zero,eta) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ9_spl
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( sQ9_spl
| ~ sQ8_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f92,f93,f100,f103]) ).
fof(f107,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f51]) ).
fof(f108,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f107]) ).
fof(f110,plain,
smaller(zero,sigma),
inference(resolution,[status(thm)],[f36,f56]) ).
fof(f114,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[status(thm)],[f110,f30]) ).
fof(f115,plain,
( zero = sigma
| smaller(zero,sigma) ),
inference(resolution,[status(thm)],[f29,f114]) ).
fof(f119,definition,
( sQ10_spl
<=> smaller(zero,sigma) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ10_spl
| smaller(zero,sigma) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f115,f119,f76]) ).
fof(f156,plain,
( ~ sQ10_spl
| smaller_or_equal(zero,sigma) ),
inference(resolution,[status(thm)],[f120,f30]) ).
fof(f165,definition,
( sQ14_spl
<=> has_immunity(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ3_spl
| greater(sigma,sigma) ),
inference(forward_demodulation,[status(thm)],[f77,f56]) ).
fof(f176,plain,
( ~ sQ3_spl
| ~ greater(sigma,sigma) ),
inference(resolution,[status(thm)],[f173,f37]) ).
fof(f178,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f173]) ).
fof(f179,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f178]) ).
fof(f209,plain,
( sQ0_spl
| has_immunity(sk2,sk5)
| ~ has_immunity(sk2,sk4)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f60,f49]) ).
fof(f210,definition,
( sQ15_spl
<=> organization(sk2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( sQ15_spl
| ~ organization(sk2) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( sQ0_spl
| sQ14_spl
| ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f209,f210,f96,f165,f58]) ).
fof(f214,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f50]) ).
fof(f215,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( ~ sQ4_spl
| greater(eta,zero) ),
inference(resolution,[status(thm)],[f90,f81]) ).
fof(f221,plain,
( ~ sQ4_spl
| smaller(zero,eta) ),
inference(resolution,[status(thm)],[f216,f36]) ).
fof(f226,plain,
( ~ sQ4_spl
| smaller_or_equal(zero,eta) ),
inference(resolution,[status(thm)],[f221,f30]) ).
fof(f267,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ smaller_or_equal(zero,sigma) ),
inference(forward_demodulation,[status(thm)],[f84,f102]) ).
fof(f268,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f156]) ).
fof(f269,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f268]) ).
fof(f321,plain,
( ~ sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f226,f100,f80]) ).
fof(f334,plain,
( sQ1_spl
| ~ has_immunity(sk2,sk3)
| ~ has_immunity(sk2,sk4)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f63,f48]) ).
fof(f336,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f334,f210,f96,f103,f61]) ).
fof(f384,plain,
( ~ has_immunity(sk2,sk5)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[f43,f54]) ).
fof(f388,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f384,f93,f165]) ).
fof(f393,plain,
$false,
inference(sat_refutation,[status(thm)],[f64,f86,f99,f106,f108,f122,f179,f213,f215,f269,f321,f336,f388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.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 01:23:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.051541 seconds
% 0.14/0.43 % CPU time: 0.178887 seconds
% 0.14/0.43 % Total memory used: 102.843 MB
% 0.14/0.43 % Net memory used: 102.512 MB
%------------------------------------------------------------------------------