%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT008-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:25:13 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 78 ( 32 unt; 9 def)
% Number of atoms : 253 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 344 ( 169 ~; 166 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 10 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [A,B,C,D,E,F,G,H,I] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [A,B,C,D,E,F,G,H] :
( greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
organization(sk2,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
organization(sk3,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
reorganization_free(sk2,sk9,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
reorganization_free(sk3,sk10,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
class(sk2,sk4,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
class(sk3,sk4,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
survival_chance(sk2,sk5,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
survival_chance(sk3,sk6,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
size(sk2,sk7,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
size(sk3,sk8,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
greater(sk8,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ greater(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [H,I] :
( greater(I,H)
| ! [F,G] :
( ~ greater(G,F)
| ! [C,D] :
( ~ inertia(C,I,D)
| ! [A,B] :
( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ! [E] :
( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [G,H] :
( greater(H,G)
| ! [E,F] :
( ~ greater(F,E)
| ! [C,D] :
( ~ survival_chance(C,H,D)
| ! [A,B] :
( ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ survival_chance(X2,X7,X3)
| ~ survival_chance(X0,X6,X1)
| ~ inertia(X2,X5,X3)
| ~ inertia(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
organization(sk2,sk9),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
organization(sk3,sk10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
reorganization_free(sk2,sk9,sk9),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
reorganization_free(sk3,sk10,sk10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
class(sk2,sk4,sk9),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
class(sk3,sk4,sk10),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
survival_chance(sk2,sk5,sk9),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
survival_chance(sk3,sk6,sk10),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
size(sk2,sk7,sk9),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f30,plain,
size(sk3,sk8,sk10),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f31,plain,
greater(sk8,sk7),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f32,plain,
~ greater(sk6,sk5),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f33,plain,
inertia(sk3,sk1(sk10,sk3),sk10),
inference(resolution,[status(thm)],[f16,f22]) ).
fof(f34,plain,
inertia(sk2,sk1(sk9,sk2),sk9),
inference(resolution,[status(thm)],[f16,f21]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk2,X4,sk9)
| ~ size(X0,X3,X1)
| ~ size(sk2,X2,sk9)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1)
| ~ organization(sk2,sk9) ),
inference(resolution,[status(thm)],[f25,f18]) ).
fof(f36,definition,
( sQ0_spl
<=> organization(sk2,sk9) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( sQ0_spl
| ~ organization(sk2,sk9) ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ1_spl
<=> ( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk2,X4,sk9)
| ~ size(X0,X3,X1)
| ~ size(sk2,X2,sk9)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk2,X4,sk9)
| ~ size(X0,X3,X1)
| ~ size(sk2,X2,sk9)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f35,f36,f39]) ).
fof(f43,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f21]) ).
fof(f44,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ2_spl
<=> organization(sk3,sk10) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( sQ2_spl
| ~ organization(sk3,sk10) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f53,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f22]) ).
fof(f54,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f53]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ survival_chance(X0,X5,X1)
| ~ survival_chance(sk2,X4,sk9)
| ~ inertia(X0,X3,X1)
| ~ inertia(sk2,X2,sk9)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1)
| ~ organization(sk2,sk9) ),
inference(resolution,[status(thm)],[f20,f23]) ).
fof(f61,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ5_spl
<=> ( greater(X5,X4)
| ~ greater(X3,X2)
| ~ survival_chance(X0,X5,X1)
| ~ survival_chance(sk2,X4,sk9)
| ~ inertia(X0,X3,X1)
| ~ inertia(sk2,X2,sk9)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ5_spl
| greater(X5,X4)
| ~ greater(X3,X2)
| ~ survival_chance(X0,X5,X1)
| ~ survival_chance(sk2,X4,sk9)
| ~ inertia(X0,X3,X1)
| ~ inertia(sk2,X2,sk9)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f36,f61]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| greater(X3,X2)
| ~ greater(X1,X0)
| ~ survival_chance(sk3,X3,sk10)
| ~ survival_chance(sk2,X2,sk9)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9)
| ~ organization(sk3,sk10) ),
inference(resolution,[status(thm)],[f62,f24]) ).
fof(f67,definition,
! [X0,X1] :
( sQ6_spl
<=> ( ~ greater(X1,X0)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f68,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(X1,X0)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,definition,
! [X2,X3] :
( sQ7_spl
<=> ( greater(X3,X2)
| ~ survival_chance(sk3,X3,sk10)
| ~ survival_chance(sk2,X2,sk9) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f71,plain,
! [X0,X1] :
( ~ sQ7_spl
| greater(X1,X0)
| ~ survival_chance(sk3,X1,sk10)
| ~ survival_chance(sk2,X0,sk9) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( ~ sQ5_spl
| sQ7_spl
| sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f65,f46,f67,f70,f61]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| greater(X4,X3)
| ~ greater(X2,sk7)
| ~ inertia(X0,X4,X1)
| ~ inertia(sk2,X3,sk9)
| ~ size(X0,X2,X1)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f40,f29]) ).
fof(f85,plain,
! [X0,X1] :
( ~ sQ1_spl
| greater(X1,X0)
| ~ greater(sk8,sk7)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9)
| ~ class(sk3,sk4,sk10)
| ~ organization(sk3,sk10) ),
inference(resolution,[status(thm)],[f82,f30]) ).
fof(f87,definition,
( sQ10_spl
<=> class(sk3,sk4,sk10) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( sQ10_spl
| ~ class(sk3,sk4,sk10) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
! [X0,X1] :
( sQ11_spl
<=> ( greater(X1,X0)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f91,plain,
! [X0,X1] :
( ~ sQ11_spl
| greater(X1,X0)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ12_spl
<=> greater(sk8,sk7) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( sQ12_spl
| ~ greater(sk8,sk7) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sQ11_spl
| ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f85,f46,f87,f90,f93,f39]) ).
fof(f110,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f31]) ).
fof(f111,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f26]) ).
fof(f113,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ sQ6_spl
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9) ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f68]) ).
fof(f134,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ6_spl
| ~ inertia(sk3,X0,sk10) ),
inference(resolution,[status(thm)],[f114,f34]) ).
fof(f136,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f33,f134]) ).
fof(f137,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f136]) ).
fof(f151,plain,
! [X0] :
( ~ sQ7_spl
| greater(X0,sk5)
| ~ survival_chance(sk3,X0,sk10) ),
inference(resolution,[status(thm)],[f71,f27]) ).
fof(f152,plain,
( ~ sQ7_spl
| greater(sk6,sk5) ),
inference(resolution,[status(thm)],[f151,f28]) ).
fof(f153,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f32]) ).
fof(f154,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f155,plain,
$false,
inference(sat_refutation,[status(thm)],[f42,f44,f54,f64,f73,f96,f111,f113,f137,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT008-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:20:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.41 % Elapsed time: 0.055918 seconds
% 0.11/0.41 % CPU time: 0.162473 seconds
% 0.11/0.41 % Total memory used: 56.313 MB
% 0.11/0.41 % Net memory used: 55.889 MB
%------------------------------------------------------------------------------