%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT002-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:25:11 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 23 unt; 7 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 267 ( 132 ~; 128 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( reproducibility(A,sk1(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( reorganization_free(A,B,B)
| ~ reorganization_free(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] :
( reorganization_free(A,C,C)
| ~ reorganization_free(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [A,B,C,D,E,F,G,H] :
( greater(H,G)
| ~ greater(F,E)
| ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [A,B,C,D,E] :
( greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,E,C)
| ~ reproducibility(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
organization(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
organization(sk2,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
reorganization_free(sk2,sk5,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
inertia(sk2,sk3,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
inertia(sk2,sk4,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
greater(sk6,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ greater(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] :
( reproducibility(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
! [A,B] :
( reorganization_free(A,B,B)
| ! [C] : ~ reorganization_free(A,B,C) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f16,plain,
! [X0,X1,X2] :
( reorganization_free(X0,X1,X1)
| ~ reorganization_free(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [A,C] :
( reorganization_free(A,C,C)
| ! [B] : ~ reorganization_free(A,B,C) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1,X2] :
( reorganization_free(X0,X2,X2)
| ~ reorganization_free(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [G,H] :
( greater(H,G)
| ! [E,F] :
( ~ greater(F,E)
| ! [C,D] :
( ~ inertia(C,H,D)
| ! [A,B] :
( ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ inertia(X2,X7,X3)
| ~ inertia(X0,X6,X1)
| ~ reproducibility(X2,X5,X3)
| ~ reproducibility(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(f23,plain,
! [D,E] :
( greater(E,D)
| ! [B,C] :
( ~ greater(C,B)
| ! [A] :
( ~ reproducibility(A,E,C)
| ~ reproducibility(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] :
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ reproducibility(X0,X4,X2)
| ~ reproducibility(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
organization(sk2,sk5),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
organization(sk2,sk6),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
reorganization_free(sk2,sk5,sk6),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
inertia(sk2,sk3,sk5),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
inertia(sk2,sk4,sk6),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
greater(sk6,sk5),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
~ greater(sk4,sk3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
reproducibility(sk2,sk1(sk6,sk2),sk6),
inference(resolution,[status(thm)],[f14,f26]) ).
fof(f33,plain,
reproducibility(sk2,sk1(sk5,sk2),sk5),
inference(resolution,[status(thm)],[f14,f25]) ).
fof(f34,plain,
reorganization_free(sk2,sk5,sk5),
inference(resolution,[status(thm)],[f16,f27]) ).
fof(f37,plain,
reorganization_free(sk2,sk6,sk6),
inference(resolution,[status(thm)],[f18,f27]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk2,X4,sk5)
| ~ reproducibility(X0,X3,X1)
| ~ reproducibility(sk2,X2,sk5)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1)
| ~ organization(sk2,sk5) ),
inference(resolution,[status(thm)],[f20,f34]) ).
fof(f39,definition,
( sQ0_spl
<=> organization(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( sQ0_spl
| ~ organization(sk2,sk5) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ1_spl
<=> ( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk2,X4,sk5)
| ~ reproducibility(X0,X3,X1)
| ~ reproducibility(sk2,X2,sk5)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk2,X4,sk5)
| ~ reproducibility(X0,X3,X1)
| ~ reproducibility(sk2,X2,sk5)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f39,f42]) ).
fof(f46,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f41,f25]) ).
fof(f47,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f46]) ).
fof(f51,definition,
( sQ2_spl
<=> organization(sk2,sk6) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f53,plain,
( sQ2_spl
| ~ organization(sk2,sk6) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f58,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f26]) ).
fof(f59,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f58]) ).
fof(f72,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,X1,sk6)
| ~ reproducibility(sk2,X0,sk5)
| ~ organization(sk2,sk6)
| ~ organization(sk2,sk5) ),
inference(resolution,[status(thm)],[f24,f27]) ).
fof(f87,definition,
! [X0,X1] :
( sQ10_spl
<=> ( greater(X1,X0)
| ~ reproducibility(sk2,X1,sk6)
| ~ reproducibility(sk2,X0,sk5) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f88,plain,
! [X0,X1] :
( ~ sQ10_spl
| greater(X1,X0)
| ~ reproducibility(sk2,X1,sk6)
| ~ reproducibility(sk2,X0,sk5) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
( sQ11_spl
<=> greater(sk6,sk5) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( sQ11_spl
| ~ greater(sk6,sk5) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( ~ sQ11_spl
| sQ10_spl
| ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f39,f51,f87,f90]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| greater(X3,X2)
| ~ greater(X1,X0)
| ~ inertia(sk2,X3,sk6)
| ~ inertia(sk2,X2,sk5)
| ~ reproducibility(sk2,X1,sk6)
| ~ reproducibility(sk2,X0,sk5)
| ~ organization(sk2,sk6) ),
inference(resolution,[status(thm)],[f43,f37]) ).
fof(f100,definition,
! [X0,X1] :
( sQ12_spl
<=> ( ~ greater(X1,X0)
| ~ reproducibility(sk2,X1,sk6)
| ~ reproducibility(sk2,X0,sk5) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f101,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,X0)
| ~ reproducibility(sk2,X1,sk6)
| ~ reproducibility(sk2,X0,sk5) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
! [X2,X3] :
( sQ13_spl
<=> ( greater(X3,X2)
| ~ inertia(sk2,X3,sk6)
| ~ inertia(sk2,X2,sk5) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f104,plain,
! [X0,X1] :
( ~ sQ13_spl
| greater(X1,X0)
| ~ inertia(sk2,X1,sk6)
| ~ inertia(sk2,X0,sk5) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( ~ sQ1_spl
| sQ13_spl
| sQ12_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f98,f51,f100,f103,f42]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ10_spl
| ~ reproducibility(sk2,X1,sk6)
| ~ reproducibility(sk2,X0,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f88]) ).
fof(f116,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ10_spl
| ~ reproducibility(sk2,X0,sk6) ),
inference(resolution,[status(thm)],[f114,f33]) ).
fof(f117,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f32,f116]) ).
fof(f118,plain,
( ~ sQ12_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f30]) ).
fof(f120,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f169,plain,
! [X0] :
( ~ sQ13_spl
| greater(X0,sk3)
| ~ inertia(sk2,X0,sk6) ),
inference(resolution,[status(thm)],[f104,f28]) ).
fof(f170,plain,
( ~ sQ13_spl
| greater(sk4,sk3) ),
inference(resolution,[status(thm)],[f169,f29]) ).
fof(f171,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f31]) ).
fof(f172,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f173,plain,
$false,
inference(sat_refutation,[status(thm)],[f45,f47,f59,f93,f106,f118,f120,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT002-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n008.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 01:21:10 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.045758 seconds
% 0.13/0.41 % CPU time: 0.148892 seconds
% 0.13/0.41 % Total memory used: 49.393 MB
% 0.13/0.41 % Net memory used: 48.953 MB
%------------------------------------------------------------------------------