%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Unsatisfiable 0.08s 0.48s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 88 ( 13 unt; 13 def)
% Number of atoms : 207 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 220 ( 101 ~; 106 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C] :
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C] :
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C] :
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A,B,C] :
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f32,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f40,plain,
! [A] :
( ! [B] : ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f41,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,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)],[f13]) ).
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)],[f16]) ).
fof(f48,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)],[f19]) ).
fof(f50,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)],[f21]) ).
fof(f51,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)],[f22]) ).
fof(f52,plain,
! [A] :
( ! [B,C] : internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f53,plain,
! [X0,X1,X2] :
( internal_friction(X0,X1) = internal_friction(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
organization(sk1),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f55,plain,
~ has_endowment(sk1),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f56,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f57,plain,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f58,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f30]) ).
fof(f104,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f50,f56]) ).
fof(f106,definition,
( sQ5_spl
<=> organization(sk1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ5_spl
| ~ organization(sk1) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ6_spl
<=> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ6_spl
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f104,f106,f109]) ).
fof(f113,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f54]) ).
fof(f114,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f51,f56]) ).
fof(f117,definition,
( sQ7_spl
<=> greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ7_spl
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f115,f106,f117]) ).
fof(f202,plain,
( ~ sQ6_spl
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f110,f45]) ).
fof(f209,definition,
( sQ17_spl
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( sQ17_spl
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ18_spl
<=> greater(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ18_spl
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( ~ sQ6_spl
| sQ18_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f202,f106,f209,f212,f109]) ).
fof(f280,definition,
( sQ29_spl
<=> has_immunity(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ29_spl
| has_immunity(sk1,sk2) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f291,plain,
( ~ sQ29_spl
| has_endowment(sk1)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f281,f41]) ).
fof(f292,definition,
( sQ32_spl
<=> has_endowment(sk1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ32_spl
| has_endowment(sk1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( ~ sQ29_spl
| sQ32_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f291,f106,f292,f280]) ).
fof(f296,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f293,f55]) ).
fof(f297,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f296]) ).
fof(f311,plain,
( ~ sQ7_spl
| greater(position(sk1,sk3),position(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f48,f118]) ).
fof(f314,definition,
( sQ35_spl
<=> greater(position(sk1,sk3),position(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ35_spl
| greater(position(sk1,sk3),position(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( ~ sQ7_spl
| sQ35_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f311,f106,f314,f117]) ).
fof(f361,definition,
( sQ40_spl
<=> has_immunity(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ40_spl
| has_immunity(sk1,sk3) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f437,definition,
( sQ45_spl
<=> internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ45_spl
| internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( sQ45_spl
| internal_friction(sk1,sk2) != internal_friction(sk1,sk3) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f474,plain,
( ~ sQ35_spl
| greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
inference(resolution,[status(thm)],[f315,f32]) ).
fof(f481,definition,
( sQ49_spl
<=> smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ49_spl
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f489,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f57]) ).
fof(f490,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( ~ sQ40_spl
| has_endowment(sk1)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f362,f41]) ).
fof(f492,plain,
( ~ sQ40_spl
| sQ32_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f491,f106,f292,f361]) ).
fof(f622,plain,
( ~ sQ18_spl
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f213,f42]) ).
fof(f630,definition,
( sQ59_spl
<=> greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( sQ59_spl
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( ~ sQ18_spl
| sQ49_spl
| ~ sQ59_spl
| sQ40_spl
| sQ29_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f622,f106,f280,f361,f630,f481,f212]) ).
fof(f672,plain,
! [X0] :
( ~ sQ45_spl
| internal_friction(sk1,X0) = internal_friction(sk1,sk3)
| ~ organization(sk1) ),
inference(paramodulation,[status(thm)],[f438,f53]) ).
fof(f690,definition,
! [X0] :
( sQ69_spl
<=> internal_friction(sk1,X0) = internal_friction(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f691,plain,
! [X0] :
( ~ sQ69_spl
| internal_friction(sk1,X0) = internal_friction(sk1,sk3) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ sQ45_spl
| sQ69_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f672,f106,f690,f437]) ).
fof(f695,plain,
( sQ45_spl
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f439,f53]) ).
fof(f697,plain,
( sQ45_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f695,f106,f437]) ).
fof(f699,plain,
! [X0,X1] :
( ~ sQ69_spl
| internal_friction(sk1,X0) = internal_friction(sk1,X1) ),
inference(paramodulation,[status(thm)],[f691,f691]) ).
fof(f1398,plain,
( sQ59_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f632,f474]) ).
fof(f1399,plain,
( sQ59_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1398]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ69_spl
| sQ17_spl
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk2)) ),
inference(paramodulation,[status(thm)],[f699,f211]) ).
fof(f1407,plain,
( ~ sQ69_spl
| sQ17_spl
| $false ),
inference(resolution,[status(thm)],[f1401,f58]) ).
fof(f1412,plain,
( ~ sQ69_spl
| sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1407]) ).
fof(f1413,plain,
$false,
inference(sat_refutation,[status(thm)],[f112,f114,f120,f215,f295,f297,f317,f490,f492,f633,f693,f697,f1399,f1412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 01:27:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.48 % Refutation found
% 0.08/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.50 % Elapsed time: 0.128994 seconds
% 0.08/0.50 % CPU time: 0.709409 seconds
% 0.08/0.50 % Total memory used: 89.405 MB
% 0.08/0.50 % Net memory used: 88.503 MB
%------------------------------------------------------------------------------