%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT044-1 : 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 01:25:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.60s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 10 unt; 6 def)
% Number of atoms : 97 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 45 ~; 44 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,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(f15,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(f16,axiom,
! [A,B,C] :
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f32,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)],[f12]) ).
fof(f35,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)],[f15]) ).
fof(f36,plain,
! [A] :
( ! [B,C] : internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f37,plain,
! [X0,X1,X2] :
( internal_friction(X0,X1) = internal_friction(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
organization(sk1),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f39,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f22]) ).
fof(f45,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f35,f39]) ).
fof(f46,definition,
( sQ0_spl
<=> organization(sk1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( sQ0_spl
| ~ organization(sk1) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
( sQ1_spl
<=> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( ~ sQ1_spl
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f46,f49]) ).
fof(f53,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f38]) ).
fof(f54,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f53]) ).
fof(f98,plain,
! [X0,X1] :
( greater(capability(sk1,X0),capability(sk1,X1))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,X1))
| ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1)) ),
inference(resolution,[status(thm)],[f32,f38]) ).
fof(f150,plain,
( ~ sQ1_spl
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(resolution,[status(thm)],[f98,f50]) ).
fof(f152,definition,
( sQ12_spl
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( sQ12_spl
| ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ13_spl
<=> greater(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ13_spl
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( ~ sQ1_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f150,f152,f155,f49]) ).
fof(f164,definition,
( sQ14_spl
<=> internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ14_spl
| internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ14_spl
| internal_friction(sk1,sk3) != internal_friction(sk1,sk2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f171,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f40]) ).
fof(f172,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f173,plain,
! [X0] :
( ~ sQ14_spl
| internal_friction(sk1,X0) = internal_friction(sk1,sk2)
| ~ organization(sk1) ),
inference(paramodulation,[status(thm)],[f165,f37]) ).
fof(f175,definition,
! [X0] :
( sQ16_spl
<=> internal_friction(sk1,X0) = internal_friction(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f176,plain,
! [X0] :
( ~ sQ16_spl
| internal_friction(sk1,X0) = internal_friction(sk1,sk2) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( ~ sQ14_spl
| sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f173,f46,f175,f164]) ).
fof(f180,plain,
! [X0,X1] :
( ~ sQ16_spl
| internal_friction(sk1,X0) = internal_friction(sk1,X1) ),
inference(paramodulation,[status(thm)],[f176,f176]) ).
fof(f206,plain,
! [X0] :
( ~ sQ16_spl
| sQ12_spl
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk2)) ),
inference(paramodulation,[status(thm)],[f180,f154]) ).
fof(f213,plain,
( ~ sQ16_spl
| sQ12_spl
| $false ),
inference(resolution,[status(thm)],[f206,f41]) ).
fof(f218,plain,
( ~ sQ16_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f213]) ).
fof(f219,plain,
( sQ14_spl
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f166,f37]) ).
fof(f221,plain,
( sQ14_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f219,f46,f164]) ).
fof(f223,plain,
$false,
inference(sat_refutation,[status(thm)],[f52,f54,f158,f172,f178,f218,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT044-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n015.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 01:26:52 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.60 % Refutation found
% 0.09/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.63 % Elapsed time: 0.049228 seconds
% 0.14/0.63 % CPU time: 0.148725 seconds
% 0.14/0.63 % Total memory used: 80.761 MB
% 0.14/0.63 % Net memory used: 80.397 MB
%------------------------------------------------------------------------------