%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT057-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 66 ( 19 unt; 9 def)
% Number of atoms : 135 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 133 ( 64 ~; 60 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( smaller(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] :
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f35,plain,
! [X0,X1] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f42,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f47,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(f48,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(f49,plain,
organization(sk2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f50,plain,
has_endowment(sk2),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f51,plain,
age(sk2,sk3) = zero,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f52,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f53,plain,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f54,plain,
greater(eta,zero),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f55,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)],[f27]) ).
fof(f56,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(f58,plain,
( sQ0_spl
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,definition,
( sQ1_spl
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ1_spl
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f55,f56,f59]) ).
fof(f73,plain,
( has_immunity(sk2,sk4)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[f41,f52]) ).
fof(f74,plain,
( has_immunity(sk2,sk3)
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment(sk2) ),
inference(paramodulation,[status(thm)],[f51,f41]) ).
fof(f75,definition,
( sQ2_spl
<=> has_endowment(sk2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( sQ2_spl
| ~ has_endowment(sk2) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,definition,
( sQ3_spl
<=> has_immunity(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f73,f75,f78]) ).
fof(f82,definition,
( sQ4_spl
<=> smaller_or_equal(zero,eta) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( sQ4_spl
| ~ smaller_or_equal(zero,eta) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ5_spl
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( sQ5_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f74,f75,f82,f85]) ).
fof(f89,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f77,f50]) ).
fof(f90,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( ~ has_immunity(sk2,sk5)
| ~ has_endowment(sk2) ),
inference(resolution,[status(thm)],[f42,f53]) ).
fof(f93,definition,
( sQ6_spl
<=> has_immunity(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f91,f75,f93]) ).
fof(f106,plain,
smaller(zero,eta),
inference(resolution,[status(thm)],[f35,f54]) ).
fof(f108,plain,
smaller_or_equal(zero,eta),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f109,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f84]) ).
fof(f110,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f109]) ).
fof(f256,plain,
( sQ1_spl
| ~ has_immunity(sk2,sk3)
| ~ has_immunity(sk2,sk4)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f61,f47]) ).
fof(f258,definition,
( sQ21_spl
<=> organization(sk2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ21_spl
| ~ organization(sk2) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ1_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f256,f258,f78,f85,f59]) ).
fof(f263,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f49]) ).
fof(f264,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f271,definition,
( sQ23_spl
<=> greater(eta,eta) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ23_spl
| greater(eta,eta) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f279,plain,
( ~ sQ23_spl
| ~ greater(eta,eta) ),
inference(resolution,[status(thm)],[f272,f36]) ).
fof(f280,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f279,f272]) ).
fof(f281,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f280]) ).
fof(f337,plain,
( sQ0_spl
| has_immunity(sk2,sk5)
| ~ has_immunity(sk2,sk4)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[f58,f48]) ).
fof(f339,plain,
( sQ0_spl
| sQ6_spl
| ~ sQ3_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f337,f258,f78,f93,f56]) ).
fof(f341,plain,
$false,
inference(sat_refutation,[status(thm)],[f62,f81,f88,f90,f96,f110,f261,f264,f281,f339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:24:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.040192 seconds
% 0.10/0.41 % CPU time: 0.103668 seconds
% 0.10/0.41 % Total memory used: 22.794 MB
% 0.10/0.41 % Net memory used: 22.736 MB
%------------------------------------------------------------------------------