%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT048-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:25:27 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 12 unt; 6 def)
% Number of atoms : 110 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 52 ~; 50 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( greater(A,B)
| A = B
| smaller(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,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/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C] :
( stock_of_knowledge(A,B) = stock_of_knowledge(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(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,
~ smaller(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(f26,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,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)],[f13]) ).
fof(f35,plain,
! [A] :
( ! [B,C] : stock_of_knowledge(A,B) = stock_of_knowledge(A,C)
| ~ organization(A) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f36,plain,
! [X0,X1,X2] :
( stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
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,
~ smaller(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(age(sk1,sk2),age(sk1,sk3)),
inference(resolution,[status(thm)],[f28,f39]) ).
fof(f50,plain,
( ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f33,f40]) ).
fof(f51,definition,
( sQ0_spl
<=> organization(sk1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f53,plain,
( sQ0_spl
| ~ organization(sk1) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,definition,
( sQ1_spl
<=> smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( sQ1_spl
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,definition,
( sQ2_spl
<=> greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( sQ2_spl
| ~ greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f50,f51,f54,f57]) ).
fof(f72,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f38]) ).
fof(f73,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f72]) ).
fof(f75,plain,
~ smaller(age(sk1,sk3),age(sk1,sk2)),
inference(resolution,[status(thm)],[f45,f26]) ).
fof(f92,definition,
( sQ8_spl
<=> age(sk1,sk2) = age(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ8_spl
| age(sk1,sk2) = age(sk1,sk3) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f159,definition,
( sQ16_spl
<=> stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ16_spl
| stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ16_spl
| stock_of_knowledge(sk1,sk2) != stock_of_knowledge(sk1,sk3) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f163,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3)) ),
inference(backward_demodulation,[status(thm)],[f160,f56]) ).
fof(f165,plain,
( sQ1_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f41]) ).
fof(f166,plain,
( sQ1_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ16_spl
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f161,f36]) ).
fof(f169,plain,
( sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f167,f51,f159]) ).
fof(f205,plain,
( greater(age(sk1,sk3),age(sk1,sk2))
| age(sk1,sk3) = age(sk1,sk2) ),
inference(resolution,[status(thm)],[f75,f31]) ).
fof(f211,definition,
( sQ20_spl
<=> greater(age(sk1,sk3),age(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ20_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f205,f92,f211]) ).
fof(f216,plain,
( ~ sQ8_spl
| ~ greater(age(sk1,sk3),age(sk1,sk3)) ),
inference(backward_demodulation,[status(thm)],[f93,f45]) ).
fof(f217,plain,
( ~ sQ8_spl
| greater(age(sk1,sk3),age(sk1,sk3)) ),
inference(backward_demodulation,[status(thm)],[f93,f39]) ).
fof(f219,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f216]) ).
fof(f220,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f227,plain,
( sQ2_spl
| ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[f59,f37]) ).
fof(f231,plain,
( sQ2_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f227,f51,f211,f57]) ).
fof(f239,plain,
$false,
inference(sat_refutation,[status(thm)],[f60,f73,f166,f169,f214,f220,f231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT048-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n005.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 01:23:33 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.39 % Elapsed time: 0.047716 seconds
% 0.11/0.39 % CPU time: 0.173013 seconds
% 0.11/0.39 % Total memory used: 66.589 MB
% 0.11/0.39 % Net memory used: 66.336 MB
%------------------------------------------------------------------------------