%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 01:25:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 58 ( 10 unt; 8 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 164 ( 76 ~; 80 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] :
( ~ decreases(A)
| ~ constant(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [A,B,C,D] :
( increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ decreases(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [A,B,C,D] :
( constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ constant(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [B,C,D] :
( increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ! [A] :
( ~ decreases(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ decreases(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [B,C,D] :
( constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ! [A] :
( ~ constant(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,definition,
( sQ0_spl
<=> decreases(resources(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f24,plain,
( ~ sQ0_spl
| decreases(resources(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,definition,
( sQ1_spl
<=> constant(resources(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f27,plain,
( ~ sQ1_spl
| constant(resources(sk1,sk2)) ),
inference(component_clause,[status(thm)],[f26]) ).
fof(f29,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f19,f23,f26]) ).
fof(f30,definition,
( sQ2_spl
<=> decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( ~ sQ2_spl
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f23,f30]) ).
fof(f34,definition,
( sQ3_spl
<=> increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f36,plain,
( sQ3_spl
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,plain,
( sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f21,f34,f26]) ).
fof(f38,plain,
( sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f22,f34,f30]) ).
fof(f39,plain,
! [X0,X1] :
( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f16,f13]) ).
fof(f40,plain,
! [X0] :
( sQ3_spl
| ~ decreases(resources(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f39,f36]) ).
fof(f41,plain,
( ~ sQ0_spl
| sQ3_spl
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f40,f24]) ).
fof(f42,definition,
( sQ4_spl
<=> environment(sk1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( sQ4_spl
| ~ environment(sk1) ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,definition,
( sQ5_spl
<=> subpopulations(first_movers,efficient_producers,sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( sQ5_spl
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,plain,
( ~ sQ0_spl
| sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f41,f42,f45,f34,f23]) ).
fof(f49,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f47,f18]) ).
fof(f50,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f49]) ).
fof(f51,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f44,f17]) ).
fof(f52,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ~ sQ1_spl
| constant(difference(disbanding_rate(X0,sk2),disbanding_rate(X1,sk2)))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f27,f15]) ).
fof(f55,definition,
! [X0,X1] :
( sQ6_spl
<=> ( constant(difference(disbanding_rate(X0,sk2),disbanding_rate(X1,sk2)))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f56,plain,
! [X0,X1] :
( ~ sQ6_spl
| constant(difference(disbanding_rate(X0,sk2),disbanding_rate(X1,sk2)))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,sk2) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( ~ sQ1_spl
| sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f53,f42,f55,f26]) ).
fof(f59,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ decreases(difference(disbanding_rate(X0,sk2),disbanding_rate(X1,sk2)))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,sk2) ),
inference(resolution,[status(thm)],[f56,f11]) ).
fof(f60,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[status(thm)],[f59,f31]) ).
fof(f61,definition,
( sQ7_spl
<=> greater(resilience(efficient_producers),resilience(first_movers)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( sQ7_spl
| ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f60,f45,f61,f55,f30]) ).
fof(f65,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f16]) ).
fof(f66,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
$false,
inference(sat_refutation,[status(thm)],[f29,f33,f37,f38,f48,f50,f52,f58,f64,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.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
% 0.08/0.36 % DateTime : Mon Sep 21 01:24:03 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.034135 seconds
% 0.13/0.40 % CPU time: 0.083403 seconds
% 0.13/0.40 % Total memory used: 7.890 MB
% 0.13/0.40 % Net memory used: 7.669 MB
%------------------------------------------------------------------------------