%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT043-1 : 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 01:25:25 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 67 ( 22 unt; 8 def)
% Number of atoms : 138 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 132 ( 61 ~; 63 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C] :
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,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)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f33,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f39,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)],[f12]) ).
fof(f43,plain,
! [X0,X1,X2] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f46,plain,
! [X0,X1,X2] :
( position(X0,X1) = position(X0,X2)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
organization(sk1),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f48,plain,
~ has_immunity(sk1,sk2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f49,plain,
~ has_immunity(sk1,sk3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f50,plain,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f51,plain,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f52,plain,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f53,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f54,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f29]) ).
fof(f55,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f32]) ).
fof(f58,plain,
( position(sk1,sk2) = position(sk1,sk3)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f46,f52]) ).
fof(f63,definition,
( sQ0_spl
<=> organization(sk1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( sQ0_spl
| ~ organization(sk1) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,definition,
( sQ1_spl
<=> position(sk1,sk2) = position(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( ~ sQ1_spl
| position(sk1,sk2) = position(sk1,sk3) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f63,f66]) ).
fof(f76,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f47]) ).
fof(f77,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f76]) ).
fof(f84,definition,
( sQ3_spl
<=> has_immunity(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ3_spl
| has_immunity(sk1,sk3) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
( sQ4_spl
<=> has_immunity(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( ~ sQ4_spl
| has_immunity(sk1,sk2) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f103,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f49]) ).
fof(f104,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f103]) ).
fof(f261,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f48]) ).
fof(f262,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f307,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f43,f51]) ).
fof(f310,definition,
( sQ30_spl
<=> smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( sQ30_spl
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ31_spl
<=> smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ31_spl
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ31_spl
| ~ sQ30_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f307,f63,f310,f313]) ).
fof(f317,plain,
( sQ30_spl
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)) ),
inference(forward_demodulation,[status(thm)],[f50,f312]) ).
fof(f318,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f54]) ).
fof(f319,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f318]) ).
fof(f360,plain,
( ~ sQ31_spl
| greater(capability(sk1,sk2),capability(sk1,sk3)) ),
inference(resolution,[status(thm)],[f314,f33]) ).
fof(f391,plain,
( ~ sQ31_spl
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f360,f39]) ).
fof(f399,definition,
( sQ39_spl
<=> greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ39_spl
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ40_spl
<=> smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ40_spl
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( ~ sQ31_spl
| sQ40_spl
| ~ sQ39_spl
| sQ4_spl
| sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f391,f63,f84,f87,f399,f402,f313]) ).
fof(f410,plain,
( sQ39_spl
| ~ sQ1_spl
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2)) ),
inference(forward_demodulation,[status(thm)],[f67,f401]) ).
fof(f411,plain,
( sQ39_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f410,f55]) ).
fof(f412,plain,
( sQ39_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f411]) ).
fof(f496,plain,
( ~ sQ40_spl
| greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(resolution,[status(thm)],[f403,f33]) ).
fof(f498,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f53]) ).
fof(f499,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f500,plain,
$false,
inference(sat_refutation,[status(thm)],[f69,f77,f104,f262,f316,f319,f405,f412,f499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:24:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.094554 seconds
% 0.12/0.45 % CPU time: 0.479026 seconds
% 0.12/0.45 % Total memory used: 107.152 MB
% 0.12/0.45 % Net memory used: 106.540 MB
%------------------------------------------------------------------------------