%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT042-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 49
% Syntax : Number of formulae : 164 ( 14 unt; 24 def)
% Number of atoms : 432 ( 47 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 466 ( 198 ~; 244 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 25 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(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(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(f11,axiom,
! [A,B] :
( greater(A,B)
| A = B
| 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(f13,axiom,
! [A,B,C] :
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater(position(A,C),position(A,B))
| ~ greater_or_equal(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,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/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(f17,axiom,
! [A,B,C] :
( capability(A,B) = capability(A,C)
| internal_friction(A,B) != internal_friction(A,C)
| stock_of_knowledge(A,B) != stock_of_knowledge(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,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/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,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f42,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f44,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f45,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f46,plain,
! [X0,X1] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f51,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(f52,plain,
! [X0,X1,X2] :
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f54,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)],[f15]) ).
fof(f55,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(f56,plain,
! [X0,X1,X2] :
( capability(X0,X1) = capability(X0,X2)
| internal_friction(X0,X1) != internal_friction(X0,X2)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f57,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)],[f18]) ).
fof(f58,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(f59,plain,
organization(sk1),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f60,plain,
~ has_immunity(sk1,sk2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f61,plain,
~ has_immunity(sk1,sk3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f62,plain,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f64,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f67,plain,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f70,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f77,plain,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f78,definition,
( sQ0_spl
<=> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ0_spl
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ1_spl
<=> greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ1_spl
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f78,f81]) ).
fof(f85,definition,
( sQ2_spl
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ2_spl
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f89,definition,
( sQ3_spl
<=> greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ3_spl
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f64,f78,f89]) ).
fof(f94,definition,
( sQ4_spl
<=> greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ4_spl
| greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f98,plain,
sQ2_spl,
inference(split_clause,[status(thm)],[f67,f85]) ).
fof(f101,plain,
( sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f70,f94,f89]) ).
fof(f102,definition,
( sQ5_spl
<=> smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f111,plain,
~ sQ5_spl,
inference(split_clause,[status(thm)],[f77,f102]) ).
fof(f112,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f41]) ).
fof(f113,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f44]) ).
fof(f117,plain,
! [X0,X1] :
( smaller(X1,X0)
| X0 = X1
| smaller(X0,X1) ),
inference(resolution,[status(thm)],[f50,f46]) ).
fof(f120,plain,
! [X0,X1] :
( smaller_or_equal(X1,X0)
| X0 = X1
| smaller(X0,X1) ),
inference(resolution,[status(thm)],[f117,f40]) ).
fof(f134,plain,
( ~ sQ2_spl
| internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(resolution,[status(thm)],[f86,f39]) ).
fof(f135,definition,
( sQ8_spl
<=> smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ8_spl
| smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ9_spl
<=> internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ9_spl
| internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( ~ sQ2_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f134,f135,f138,f85]) ).
fof(f142,plain,
( ~ sQ4_spl
| external_ties(sk1,sk3) = external_ties(sk1,sk2)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(resolution,[status(thm)],[f95,f42]) ).
fof(f143,definition,
( sQ10_spl
<=> external_ties(sk1,sk3) = external_ties(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ10_spl
| external_ties(sk1,sk3) = external_ties(sk1,sk2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( ~ sQ4_spl
| sQ10_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f142,f89,f143,f94]) ).
fof(f148,plain,
! [X0,X1] :
( greater(X1,X0)
| smaller_or_equal(X1,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[f120,f45]) ).
fof(f157,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller_or_equal(X1,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[f148,f47]) ).
fof(f174,plain,
( ~ sQ8_spl
| greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)) ),
inference(resolution,[status(thm)],[f136,f45]) ).
fof(f176,plain,
( ~ sQ1_spl
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolution,[status(thm)],[f82,f42]) ).
fof(f177,definition,
( sQ12_spl
<=> stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ12_spl
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( ~ sQ1_spl
| sQ12_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f176,f78,f177,f81]) ).
fof(f194,plain,
( ~ sQ3_spl
| greater(position(sk1,sk3),position(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f57,f90]) ).
fof(f197,definition,
( sQ14_spl
<=> organization(sk1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ14_spl
| ~ organization(sk1) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ15_spl
<=> greater(position(sk1,sk3),position(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ15_spl
| greater(position(sk1,sk3),position(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ sQ3_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f194,f197,f200,f89]) ).
fof(f204,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f59]) ).
fof(f205,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f216,plain,
( ~ sQ0_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)],[f79,f54]) ).
fof(f218,plain,
( ~ sQ0_spl
| smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2) ),
inference(resolution,[status(thm)],[f79,f157]) ).
fof(f223,definition,
( sQ18_spl
<=> greater(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ18_spl
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( ~ sQ0_spl
| sQ18_spl
| ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f216,f197,f85,f223,f78]) ).
fof(f227,definition,
( sQ19_spl
<=> smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( sQ19_spl
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( ~ sQ0_spl
| sQ19_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f218,f177,f227,f78]) ).
fof(f256,plain,
( ~ sQ8_spl
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f174,f55]) ).
fof(f264,definition,
( sQ25_spl
<=> smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ25_spl
| smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ8_spl
| sQ25_spl
| ~ sQ19_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f256,f197,f227,f264,f135]) ).
fof(f270,plain,
( ~ sQ9_spl
| capability(sk1,sk3) = capability(sk1,sk2)
| stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f139,f56]) ).
fof(f272,plain,
! [X0] :
( ~ sQ9_spl
| capability(sk1,X0) = capability(sk1,sk3)
| internal_friction(sk1,X0) != internal_friction(sk1,sk2)
| stock_of_knowledge(sk1,X0) != stock_of_knowledge(sk1,sk3)
| ~ organization(sk1) ),
inference(paramodulation,[status(thm)],[f139,f56]) ).
fof(f274,plain,
! [X0] :
( ~ sQ9_spl
| smaller(capability(sk1,X0),capability(sk1,sk3))
| ~ greater(internal_friction(sk1,X0),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk3))
| ~ organization(sk1) ),
inference(paramodulation,[status(thm)],[f139,f55]) ).
fof(f275,plain,
! [X0] :
( ~ sQ9_spl
| smaller(capability(sk1,sk3),capability(sk1,X0))
| ~ greater(internal_friction(sk1,sk2),internal_friction(sk1,X0))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,X0))
| ~ organization(sk1) ),
inference(paramodulation,[status(thm)],[f139,f55]) ).
fof(f276,definition,
( sQ26_spl
<=> capability(sk1,sk3) = capability(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ26_spl
| capability(sk1,sk3) = capability(sk1,sk2) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( ~ sQ9_spl
| sQ26_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f270,f197,f177,f276,f138]) ).
fof(f281,definition,
! [X0] :
( sQ27_spl
<=> ( capability(sk1,X0) = capability(sk1,sk3)
| internal_friction(sk1,X0) != internal_friction(sk1,sk2)
| stock_of_knowledge(sk1,X0) != stock_of_knowledge(sk1,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ9_spl
| sQ27_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f272,f197,f281,f138]) ).
fof(f286,definition,
! [X0] :
( sQ28_spl
<=> ( smaller(capability(sk1,X0),capability(sk1,sk3))
| ~ greater(internal_friction(sk1,X0),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ9_spl
| sQ28_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f274,f197,f286,f138]) ).
fof(f290,definition,
! [X0] :
( sQ29_spl
<=> ( smaller(capability(sk1,sk3),capability(sk1,X0))
| ~ greater(internal_friction(sk1,sk2),internal_friction(sk1,X0))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ9_spl
| sQ29_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f275,f197,f290,f138]) ).
fof(f299,plain,
( ~ sQ10_spl
| position(sk1,sk3) = position(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f144,f58]) ).
fof(f305,definition,
( sQ30_spl
<=> position(sk1,sk3) = position(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ30_spl
| position(sk1,sk3) = position(sk1,sk2) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( ~ sQ10_spl
| sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f299,f197,f305,f143]) ).
fof(f323,definition,
( sQ32_spl
<=> has_immunity(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ32_spl
| has_immunity(sk1,sk2) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ33_spl
<=> has_immunity(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ33_spl
| has_immunity(sk1,sk3) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f344,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f61]) ).
fof(f345,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f344]) ).
fof(f350,plain,
( ~ sQ25_spl
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolution,[status(thm)],[f265,f45]) ).
fof(f359,plain,
( ~ sQ0_spl
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolution,[status(thm)],[f79,f43]) ).
fof(f377,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)],[f224,f51]) ).
fof(f383,plain,
( ~ sQ18_spl
| smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
inference(resolution,[status(thm)],[f224,f46]) ).
fof(f385,definition,
( sQ40_spl
<=> greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( sQ40_spl
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( ~ sQ18_spl
| sQ5_spl
| ~ sQ40_spl
| sQ33_spl
| sQ32_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f377,f197,f323,f326,f385,f102,f223]) ).
fof(f393,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f60]) ).
fof(f394,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f393]) ).
fof(f444,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| greater(capability(sk1,sk2),capability(sk1,sk2)) ),
inference(forward_demodulation,[status(thm)],[f277,f350]) ).
fof(f450,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| ~ greater(capability(sk1,sk2),capability(sk1,sk2)) ),
inference(resolution,[status(thm)],[f444,f47]) ).
fof(f464,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f444]) ).
fof(f465,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f464]) ).
fof(f483,plain,
( ~ sQ15_spl
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f201,f52]) ).
fof(f490,plain,
( ~ sQ15_spl
| greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
inference(resolution,[status(thm)],[f201,f43]) ).
fof(f491,definition,
( sQ51_spl
<=> greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ51_spl
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( ~ sQ15_spl
| sQ5_spl
| ~ sQ51_spl
| sQ33_spl
| sQ32_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f483,f197,f323,f326,f491,f102,f200]) ).
fof(f499,plain,
( ~ sQ15_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f387]) ).
fof(f500,plain,
( ~ sQ15_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ51_spl
| ~ sQ26_spl
| ~ greater_or_equal(capability(sk1,sk2),capability(sk1,sk2)) ),
inference(forward_demodulation,[status(thm)],[f277,f493]) ).
fof(f502,plain,
( sQ51_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f113]) ).
fof(f503,plain,
( sQ51_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f521,plain,
( ~ sQ18_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f383,f264,f223]) ).
fof(f523,plain,
( ~ sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f359,f81,f78]) ).
fof(f583,plain,
( sQ40_spl
| ~ sQ30_spl
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2)) ),
inference(forward_demodulation,[status(thm)],[f306,f387]) ).
fof(f584,plain,
( sQ40_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f113]) ).
fof(f585,plain,
( sQ40_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f627,plain,
( ~ sQ25_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)],[f350,f51]) ).
fof(f635,plain,
( ~ sQ25_spl
| sQ5_spl
| ~ sQ40_spl
| sQ33_spl
| sQ32_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f627,f197,f323,f326,f385,f102,f264]) ).
fof(f638,plain,
( sQ19_spl
| ~ sQ12_spl
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)) ),
inference(forward_demodulation,[status(thm)],[f178,f229]) ).
fof(f639,plain,
( sQ19_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f112]) ).
fof(f640,plain,
( sQ19_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f641,plain,
$false,
inference(sat_refutation,[status(thm)],[f84,f92,f98,f101,f111,f141,f146,f180,f203,f205,f226,f230,f267,f279,f284,f289,f293,f308,f345,f388,f394,f465,f494,f500,f503,f521,f523,f585,f635,f640]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.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 01:21:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.066081 seconds
% 0.14/0.45 % CPU time: 0.309364 seconds
% 0.14/0.45 % Total memory used: 84.810 MB
% 0.14/0.45 % Net memory used: 84.519 MB
%------------------------------------------------------------------------------