%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT039-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:25:24 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 122
% Syntax : Number of formulae : 476 ( 20 unt; 95 def)
% Number of atoms : 1555 ( 83 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 2032 ( 953 ~; 984 |; 0 &)
% ( 95 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 107 ( 105 usr; 96 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 237 ( 237 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] :
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C,D] :
( selection_favors(B,D,C)
| cardinality_at_time(D,C) != zero
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(D,A,C)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| environment(sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| in_environment(A,sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] :
( in_environment(B,sk2(B,A))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( greater(sk2(B,A),critical_point(B))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( in_environment(A,B)
| ~ greater_or_equal(end_time(A),B)
| ~ greater_or_equal(B,start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( greater_or_equal(end_time(A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( greater_or_equal(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] :
( subpopulation(first_movers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B] :
( subpopulation(efficient_producers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A] :
( greater_or_equal(critical_point(A),appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A] :
( greater_or_equal(critical_point(A),start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] :
( greater_or_equal(end_time(A),B)
| greater(B,end_time(A))
| ~ greater(B,start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
! [A,B,C] :
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
! [A,B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [B,C,D] :
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ! [A] :
( ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [B,C,D] :
( selection_favors(B,D,C)
| cardinality_at_time(D,C) != zero
| ~ greater(cardinality_at_time(B,C),zero)
| ! [A] :
( ~ subpopulation(D,A,C)
| ~ subpopulation(B,A,C)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X3,X2)
| cardinality_at_time(X3,X2) != zero
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X3,X0,X2)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sk1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f36,plain,
! [X0,X1] :
( in_environment(X1,sk2(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f37,plain,
! [X0,X1] :
( greater(sk2(X1,X0),critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f38,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f39,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f41,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f42,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f43,plain,
! [B] :
( greater_or_equal(cardinality_at_time(first_movers,B),zero)
| ! [A] :
( ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f44,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f46,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f47,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f48,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f49,plain,
! [A,C] :
( greater(A,C)
| ! [B] :
( ~ greater(B,C)
| ~ greater(A,B) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f50,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| greater(X1,end_time(X0))
| ~ greater(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f52,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f53,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f54,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f57,plain,
! [C] :
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ! [B] :
( ~ greater(C,B)
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f58,plain,
! [X0,X1,X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| X1 != critical_point(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| ! [A] :
( ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f60,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
observational_period(sk3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f62,plain,
slow_change(sk3),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f63,plain,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f64,definition,
! [X0] :
( sQ0_spl
<=> ( selection_favors(efficient_producers,first_movers,X0)
| environment(sk1(X0))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f65,plain,
! [X0] :
( ~ sQ0_spl
| selection_favors(efficient_producers,first_movers,X0)
| environment(sk1(X0))
| ~ observational_period(X0) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,definition,
( sQ1_spl
<=> propagation_strategy(first_movers) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( sQ1_spl
| ~ propagation_strategy(first_movers) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,definition,
( sQ2_spl
<=> propagation_strategy(efficient_producers) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( sQ2_spl
| ~ propagation_strategy(efficient_producers) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f33,f64,f67,f70]) ).
fof(f74,definition,
! [X0] :
( sQ3_spl
<=> ( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f75,plain,
! [X0] :
( ~ sQ3_spl
| selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ~ observational_period(X0) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f34,f74,f67,f70]) ).
fof(f78,definition,
! [X0] :
( sQ4_spl
<=> ( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f79,plain,
! [X0] :
( ~ sQ4_spl
| selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| ~ observational_period(X0) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f35,f78,f67,f70]) ).
fof(f82,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f54]) ).
fof(f83,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f39]) ).
fof(f84,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f85,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f38]) ).
fof(f86,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ in_environment(X1,X0)
| ~ environment(X1)
| cardinality_at_time(first_movers,X0) = zero
| greater(cardinality_at_time(first_movers,X0),zero) ),
inference(resolution,[status(thm)],[f52,f44]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ in_environment(X2,X1)
| ~ environment(X1)
| ~ slow_change(X2)
| ~ observational_period(X2)
| greater(X0,critical_point(X1))
| ~ greater(X0,sk2(X1,X2)) ),
inference(resolution,[status(thm)],[f50,f37]) ).
fof(f91,plain,
( ~ sQ0_spl
| selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f65,f61]) ).
fof(f92,definition,
( sQ5_spl
<=> environment(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ5_spl
| environment(sk1(sk3)) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ6_spl
<=> selection_favors(efficient_producers,first_movers,sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ6_spl
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( ~ sQ0_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f91,f92,f95,f64]) ).
fof(f99,plain,
( ~ sQ5_spl
| greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f93,f48]) ).
fof(f100,plain,
( ~ sQ5_spl
| greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f93,f47]) ).
fof(f101,plain,
! [X0] :
( ~ sQ5_spl
| subpopulation(efficient_producers,sk1(sk3),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[f93,f46]) ).
fof(f102,plain,
! [X0] :
( ~ sQ5_spl
| subpopulation(first_movers,sk1(sk3),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[f93,f45]) ).
fof(f103,plain,
! [X0] :
( ~ sQ5_spl
| greater_or_equal(end_time(sk1(sk3)),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[f93,f41]) ).
fof(f104,plain,
! [X0] :
( ~ sQ5_spl
| in_environment(sk1(sk3),X0)
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| ~ greater_or_equal(X0,start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f93,f40]) ).
fof(f105,plain,
! [X0] :
( ~ sQ5_spl
| in_environment(sk1(sk3),sk2(sk1(sk3),X0))
| ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(resolution,[status(thm)],[f93,f36]) ).
fof(f106,plain,
( ~ sQ5_spl
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f99,f52]) ).
fof(f107,definition,
( sQ7_spl
<=> greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ7_spl
| greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,definition,
( sQ8_spl
<=> critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ8_spl
| critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( ~ sQ5_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f106,f107,f110,f92]) ).
fof(f114,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f96,f63]) ).
fof(f115,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f123,plain,
( ~ sQ5_spl
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f124,definition,
( sQ9_spl
<=> greater(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ9_spl
| greater(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ10_spl
<=> critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ10_spl
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( ~ sQ5_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f123,f124,f127,f92]) ).
fof(f131,plain,
! [X0] :
( ~ sQ7_spl
| greater(X0,start_time(sk1(sk3)))
| ~ greater(X0,critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f108,f50]) ).
fof(f134,plain,
! [X0] :
( ~ sQ5_spl
| greater_or_equal(end_time(sk1(sk3)),X0)
| greater(X0,end_time(sk1(sk3)))
| ~ greater(X0,start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f51,f93]) ).
fof(f135,plain,
( ~ sQ3_spl
| selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[f75,f61]) ).
fof(f136,definition,
( sQ11_spl
<=> in_environment(sk3,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ3_spl
| sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f135,f136,f95,f74]) ).
fof(f153,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(end_time(sk1(sk3)),X0)
| in_environment(sk1(sk3),X0)
| ~ greater_or_equal(X0,start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f104,f53]) ).
fof(f154,plain,
( ~ sQ5_spl
| in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f104,f82]) ).
fof(f155,definition,
( sQ15_spl
<=> greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ15_spl
| greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ15_spl
| ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ16_spl
<=> in_environment(sk1(sk3),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ16_spl
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( ~ sQ5_spl
| sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f154,f155,f158,f92]) ).
fof(f162,plain,
( ~ sQ5_spl
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3) ),
inference(resolution,[status(thm)],[f105,f62]) ).
fof(f163,definition,
( sQ17_spl
<=> observational_period(sk3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( sQ17_spl
| ~ observational_period(sk3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ18_spl
<=> in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ18_spl
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( ~ sQ5_spl
| sQ18_spl
| ~ sQ11_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f162,f163,f136,f166,f92]) ).
fof(f170,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f61]) ).
fof(f171,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( ~ sQ16_spl
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f159,f60]) ).
fof(f174,definition,
( sQ19_spl
<=> greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ19_spl
| ~ greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ20_spl
<=> greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ20_spl
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( ~ sQ16_spl
| sQ20_spl
| ~ sQ19_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f173,f92,f174,f177,f158]) ).
fof(f181,plain,
( sQ15_spl
| ~ greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f157,f53]) ).
fof(f182,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(resolution,[status(thm)],[f167,f103]) ).
fof(f183,plain,
( ~ sQ18_spl
| greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
| ~ greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3)))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f167,f60]) ).
fof(f184,definition,
( sQ21_spl
<=> greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ21_spl
| greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ21_spl
| ~ greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ22_spl
<=> greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ18_spl
| sQ22_spl
| ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f183,f92,f184,f187,f166]) ).
fof(f191,plain,
! [X0] :
( ~ sQ5_spl
| ~ in_environment(sk1(sk3),X0)
| cardinality_at_time(first_movers,X0) = zero
| greater(cardinality_at_time(first_movers,X0),zero) ),
inference(resolution,[status(thm)],[f87,f93]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sQ20_spl
| selection_favors(efficient_producers,X1,end_time(sk1(sk3)))
| cardinality_at_time(X1,end_time(sk1(sk3))) != zero
| ~ subpopulation(X1,X0,end_time(sk1(sk3)))
| ~ subpopulation(efficient_producers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f178,f32]) ).
fof(f194,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| greater(critical_point(sk1(sk3)),end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f134,f108]) ).
fof(f195,definition,
( sQ23_spl
<=> greater(critical_point(sk1(sk3)),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ23_spl
| greater(critical_point(sk1(sk3)),end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ24_spl
<=> greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ24_spl
| ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f194,f195,f198,f92,f107]) ).
fof(f202,plain,
( ~ sQ18_spl
| ~ sQ5_spl
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero) ),
inference(resolution,[status(thm)],[f191,f167]) ).
fof(f203,definition,
( sQ25_spl
<=> greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ25_spl
| greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ26_spl
<=> cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ26_spl
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ26_spl
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) != zero ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sQ18_spl
| ~ sQ5_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f202,f203,f206,f92,f166]) ).
fof(f210,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ8_spl
| greater_or_equal(end_time(sk1(sk3)),X0)
| greater(X0,end_time(sk1(sk3)))
| ~ greater(X0,critical_point(sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f111,f134]) ).
fof(f212,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ8_spl
| in_environment(sk1(sk3),X0)
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| ~ greater_or_equal(X0,critical_point(sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f111,f104]) ).
fof(f218,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f212,f82]) ).
fof(f220,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f218,f198,f158,f110,f92]) ).
fof(f222,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[f159,f191]) ).
fof(f225,definition,
( sQ27_spl
<=> greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ27_spl
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ28_spl
<=> cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ28_spl
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f222,f225,f228,f158,f92]) ).
fof(f233,plain,
! [X0] :
( ~ sQ28_spl
| greater_or_equal(zero,zero)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f229,f44]) ).
fof(f234,plain,
! [X0] :
( ~ sQ28_spl
| subpopulations(first_movers,efficient_producers,X0,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ greater(zero,zero)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f229,f42]) ).
fof(f235,plain,
! [X0,X1] :
( ~ sQ28_spl
| selection_favors(first_movers,X1,end_time(sk1(sk3)))
| cardinality_at_time(X1,end_time(sk1(sk3))) != zero
| ~ greater(zero,zero)
| ~ subpopulation(X1,X0,end_time(sk1(sk3)))
| ~ subpopulation(first_movers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f229,f32]) ).
fof(f236,definition,
! [X0] :
( sQ29_spl
<=> ( ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f237,plain,
! [X0] :
( ~ sQ29_spl
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ30_spl
<=> greater_or_equal(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ28_spl
| sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f233,f236,f239,f228]) ).
fof(f243,definition,
! [X0] :
( sQ31_spl
<=> ( subpopulations(first_movers,efficient_producers,X0,end_time(sk1(sk3)))
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f244,plain,
! [X0] :
( ~ sQ31_spl
| subpopulations(first_movers,efficient_producers,X0,end_time(sk1(sk3)))
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ32_spl
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( sQ32_spl
| ~ greater(zero,zero) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( ~ sQ28_spl
| ~ sQ20_spl
| ~ sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f234,f243,f246,f177,f228]) ).
fof(f250,definition,
! [X0,X1] :
( sQ33_spl
<=> ( selection_favors(first_movers,X1,end_time(sk1(sk3)))
| cardinality_at_time(X1,end_time(sk1(sk3))) != zero
| ~ subpopulation(X1,X0,end_time(sk1(sk3)))
| ~ subpopulation(first_movers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ28_spl
| ~ sQ32_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f235,f250,f246,f228]) ).
fof(f259,plain,
! [X0] :
( ~ sQ9_spl
| greater(X0,appear(efficient_producers,sk1(sk3)))
| ~ greater(X0,critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f125,f50]) ).
fof(f262,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f237,f159]) ).
fof(f263,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f93]) ).
fof(f264,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f271,plain,
! [X0] :
( ~ sQ23_spl
| greater(X0,end_time(sk1(sk3)))
| ~ greater(X0,critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f196,f50]) ).
fof(f272,plain,
! [X0] :
( ~ sQ26_spl
| greater_or_equal(zero,zero)
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f207,f44]) ).
fof(f273,plain,
! [X0] :
( ~ sQ26_spl
| subpopulations(first_movers,efficient_producers,X0,sk2(sk1(sk3),sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
| ~ greater(zero,zero)
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f207,f42]) ).
fof(f274,plain,
! [X0,X1] :
( ~ sQ26_spl
| selection_favors(first_movers,X1,sk2(sk1(sk3),sk3))
| cardinality_at_time(X1,sk2(sk1(sk3),sk3)) != zero
| ~ greater(zero,zero)
| ~ subpopulation(X1,X0,sk2(sk1(sk3),sk3))
| ~ subpopulation(first_movers,X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f207,f32]) ).
fof(f275,definition,
! [X0] :
( sQ34_spl
<=> ( ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f276,plain,
! [X0] :
( ~ sQ34_spl
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( ~ sQ26_spl
| sQ30_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f272,f275,f239,f206]) ).
fof(f279,definition,
! [X0] :
( sQ35_spl
<=> ( subpopulations(first_movers,efficient_producers,X0,sk2(sk1(sk3),sk3))
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f280,plain,
! [X0] :
( ~ sQ35_spl
| subpopulations(first_movers,efficient_producers,X0,sk2(sk1(sk3),sk3))
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| ~ sQ32_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f273,f279,f246,f187,f206]) ).
fof(f283,definition,
! [X0,X1] :
( sQ36_spl
<=> ( selection_favors(first_movers,X1,sk2(sk1(sk3),sk3))
| cardinality_at_time(X1,sk2(sk1(sk3),sk3)) != zero
| ~ subpopulation(X1,X0,sk2(sk1(sk3),sk3))
| ~ subpopulation(first_movers,X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ26_spl
| ~ sQ32_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f274,f283,f246,f206]) ).
fof(f287,plain,
! [X0] :
( ~ sQ9_spl
| greater(X0,appear(efficient_producers,sk1(sk3)))
| ~ greater(X0,critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f125,f50]) ).
fof(f288,plain,
( sQ19_spl
| ~ greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f176,f53]) ).
fof(f290,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(resolution,[status(thm)],[f182,f52]) ).
fof(f295,definition,
( sQ38_spl
<=> greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ38_spl
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ39_spl
<=> end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ39_spl
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f290,f295,f298,f166,f92]) ).
fof(f302,plain,
( sQ21_spl
| ~ greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f186,f53]) ).
fof(f303,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f207,f204]) ).
fof(f304,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f303,f248]) ).
fof(f305,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f307,plain,
! [X0] :
( ~ sQ7_spl
| ~ in_environment(X0,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f131,f37]) ).
fof(f308,definition,
! [X0] :
( sQ40_spl
<=> ( ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),start_time(sk1(sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f309,plain,
! [X0] :
( ~ sQ40_spl
| ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f307,f308,f92,f107]) ).
fof(f312,plain,
! [X0] :
( ~ sQ27_spl
| subpopulations(first_movers,efficient_producers,X0,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f226,f42]) ).
fof(f315,plain,
( ~ sQ27_spl
| ~ sQ20_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f312,f243,f177,f225]) ).
fof(f316,plain,
! [X0] :
( ~ sQ9_spl
| ~ in_environment(X0,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f259,f37]) ).
fof(f317,definition,
! [X0] :
( sQ41_spl
<=> ( ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),appear(efficient_producers,sk1(sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f318,plain,
! [X0] :
( ~ sQ41_spl
| ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f316,f317,f92,f124]) ).
fof(f322,plain,
( sQ19_spl
| ~ sQ10_spl
| ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f128,f176]) ).
fof(f324,plain,
( sQ24_spl
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f200,f53]) ).
fof(f326,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f276,f167]) ).
fof(f327,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f326,f93]) ).
fof(f328,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f327]) ).
fof(f331,plain,
( ~ sQ18_spl
| ~ sQ39_spl
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f299,f167]) ).
fof(f333,plain,
( ~ sQ39_spl
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ in_environment(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ slow_change(sk3)
| ~ observational_period(sk3) ),
inference(paramodulation,[status(thm)],[f299,f37]) ).
fof(f334,plain,
( ~ sQ18_spl
| ~ sQ39_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f331,f158,f298,f166]) ).
fof(f338,definition,
( sQ43_spl
<=> slow_change(sk3) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ43_spl
| ~ slow_change(sk3) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f342,definition,
( sQ44_spl
<=> greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ44_spl
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( ~ sQ39_spl
| sQ44_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ43_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f333,f163,f338,f92,f136,f342,f298]) ).
fof(f346,plain,
( sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f340,f62]) ).
fof(f347,plain,
sQ43_spl,
inference(contradiction_clause,[status(thm)],[f346]) ).
fof(f358,plain,
( sQ26_spl
| ~ sQ39_spl
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(forward_demodulation,[status(thm)],[f299,f208]) ).
fof(f359,plain,
( ~ sQ28_spl
| sQ26_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f229,f358]) ).
fof(f360,plain,
( ~ sQ28_spl
| sQ26_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f359]) ).
fof(f372,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| in_environment(sk1(sk3),critical_point(sk1(sk3)))
| ~ greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f343,f153]) ).
fof(f373,plain,
( ~ sQ7_spl
| ~ sQ44_spl
| greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f343,f131]) ).
fof(f375,definition,
( sQ45_spl
<=> greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( sQ45_spl
| ~ greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ46_spl
<=> in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ46_spl
| in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f372,f375,f378,f342,f92]) ).
fof(f382,plain,
( ~ sQ7_spl
| ~ sQ44_spl
| sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f373,f181]) ).
fof(f383,plain,
( ~ sQ7_spl
| ~ sQ44_spl
| sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ45_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f99]) ).
fof(f385,plain,
( sQ45_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( ~ sQ5_spl
| ~ sQ46_spl
| cardinality_at_time(first_movers,critical_point(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,critical_point(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[f379,f191]) ).
fof(f387,plain,
( ~ sQ5_spl
| ~ sQ46_spl
| greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f379,f103]) ).
fof(f388,plain,
( ~ sQ46_spl
| greater(cardinality_at_time(efficient_producers,critical_point(sk1(sk3))),zero)
| ~ greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f379,f60]) ).
fof(f389,definition,
( sQ47_spl
<=> greater(cardinality_at_time(first_movers,critical_point(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ47_spl
| greater(cardinality_at_time(first_movers,critical_point(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ48_spl
<=> cardinality_at_time(first_movers,critical_point(sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ48_spl
| cardinality_at_time(first_movers,critical_point(sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ48_spl
| cardinality_at_time(first_movers,critical_point(sk1(sk3))) != zero ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( ~ sQ5_spl
| ~ sQ46_spl
| sQ48_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f386,f389,f392,f378,f92]) ).
fof(f398,definition,
( sQ49_spl
<=> greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ49_spl
| ~ greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ50_spl
<=> greater(cardinality_at_time(efficient_producers,critical_point(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ46_spl
| sQ50_spl
| ~ sQ49_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f388,f92,f398,f401,f378]) ).
fof(f420,plain,
! [X0] :
( ~ sQ48_spl
| greater_or_equal(zero,zero)
| ~ in_environment(X0,critical_point(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f393,f44]) ).
fof(f421,plain,
! [X0] :
( ~ sQ48_spl
| subpopulations(first_movers,efficient_producers,X0,critical_point(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,critical_point(sk1(sk3))),zero)
| ~ greater(zero,zero)
| ~ in_environment(X0,critical_point(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f393,f42]) ).
fof(f422,plain,
! [X0,X1] :
( ~ sQ48_spl
| selection_favors(first_movers,X1,critical_point(sk1(sk3)))
| cardinality_at_time(X1,critical_point(sk1(sk3))) != zero
| ~ greater(zero,zero)
| ~ subpopulation(X1,X0,critical_point(sk1(sk3)))
| ~ subpopulation(first_movers,X0,critical_point(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f393,f32]) ).
fof(f423,definition,
! [X0] :
( sQ51_spl
<=> ( ~ in_environment(X0,critical_point(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f424,plain,
! [X0] :
( ~ sQ51_spl
| ~ in_environment(X0,critical_point(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( ~ sQ48_spl
| sQ30_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f420,f423,f239,f392]) ).
fof(f427,definition,
! [X0] :
( sQ52_spl
<=> ( subpopulations(first_movers,efficient_producers,X0,critical_point(sk1(sk3)))
| ~ in_environment(X0,critical_point(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| ~ sQ32_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f421,f427,f246,f401,f392]) ).
fof(f431,definition,
! [X0,X1] :
( sQ53_spl
<=> ( selection_favors(first_movers,X1,critical_point(sk1(sk3)))
| cardinality_at_time(X1,critical_point(sk1(sk3))) != zero
| ~ subpopulation(X1,X0,critical_point(sk1(sk3)))
| ~ subpopulation(first_movers,X0,critical_point(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ48_spl
| ~ sQ32_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f422,f431,f246,f392]) ).
fof(f435,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f424,f379]) ).
fof(f436,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f93]) ).
fof(f437,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f436]) ).
fof(f454,plain,
( ~ sQ47_spl
| ~ sQ48_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f393,f390]) ).
fof(f455,plain,
( ~ sQ47_spl
| ~ sQ48_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f454,f248]) ).
fof(f456,plain,
( ~ sQ47_spl
| ~ sQ48_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f455]) ).
fof(f470,plain,
( sQ19_spl
| ~ greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f176,f53]) ).
fof(f479,plain,
( sQ21_spl
| ~ greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f186,f53]) ).
fof(f488,plain,
( ~ sQ38_spl
| ~ in_environment(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ slow_change(sk3)
| ~ observational_period(sk3)
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f296,f90]) ).
fof(f491,plain,
( ~ sQ38_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ43_spl
| ~ sQ17_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f488,f342,f163,f338,f92,f136,f295]) ).
fof(f497,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ8_spl
| ~ in_environment(X0,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),X0))
| greater(sk2(sk1(sk3),X0),end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f210,f37]) ).
fof(f498,definition,
! [X0] :
( sQ56_spl
<=> ( ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),X0))
| greater(sk2(sk1(sk3),X0),end_time(sk1(sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f497,f498,f92,f110]) ).
fof(f505,plain,
( sQ24_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f324,f342,f198]) ).
fof(f511,plain,
( ~ sQ15_spl
| end_time(sk1(sk3)) = start_time(sk1(sk3))
| greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f156,f52]) ).
fof(f512,definition,
( sQ57_spl
<=> greater_or_equal(start_time(sk1(sk3)),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ57_spl
| ~ greater_or_equal(start_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ58_spl
<=> in_environment(sk1(sk3),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ58_spl
| in_environment(sk1(sk3),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f519,definition,
( sQ59_spl
<=> greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ59_spl
| greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ60_spl
<=> end_time(sk1(sk3)) = start_time(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ15_spl
| sQ60_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f511,f519,f522,f155]) ).
fof(f526,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f82]) ).
fof(f527,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f537,definition,
( sQ61_spl
<=> greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( sQ61_spl
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f541,plain,
( sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f82]) ).
fof(f542,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( ~ sQ5_spl
| ~ sQ58_spl
| cardinality_at_time(first_movers,start_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,start_time(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[f516,f191]) ).
fof(f545,plain,
( ~ sQ58_spl
| greater(cardinality_at_time(efficient_producers,start_time(sk1(sk3))),zero)
| ~ greater_or_equal(start_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f516,f60]) ).
fof(f546,definition,
( sQ62_spl
<=> greater(cardinality_at_time(first_movers,start_time(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f549,definition,
( sQ63_spl
<=> cardinality_at_time(first_movers,start_time(sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ63_spl
| cardinality_at_time(first_movers,start_time(sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( ~ sQ5_spl
| ~ sQ58_spl
| sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f543,f546,f549,f515,f92]) ).
fof(f553,definition,
( sQ64_spl
<=> greater_or_equal(start_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f556,definition,
( sQ65_spl
<=> greater(cardinality_at_time(efficient_producers,start_time(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ58_spl
| sQ65_spl
| ~ sQ64_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f545,f92,f553,f556,f515]) ).
fof(f561,plain,
( ~ sQ5_spl
| in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f104,f82]) ).
fof(f562,plain,
( ~ sQ5_spl
| sQ58_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f561,f155,f515,f92]) ).
fof(f563,plain,
( ~ sQ5_spl
| in_environment(sk1(sk3),critical_point(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f99,f104]) ).
fof(f565,plain,
( ~ sQ5_spl
| sQ46_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f563,f198,f378,f92]) ).
fof(f572,plain,
! [X0] :
( ~ sQ63_spl
| greater_or_equal(zero,zero)
| ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f550,f44]) ).
fof(f573,plain,
! [X0] :
( ~ sQ63_spl
| subpopulations(first_movers,efficient_producers,X0,start_time(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,start_time(sk1(sk3))),zero)
| ~ greater(zero,zero)
| ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f550,f42]) ).
fof(f574,plain,
! [X0,X1] :
( ~ sQ63_spl
| selection_favors(first_movers,X1,start_time(sk1(sk3)))
| cardinality_at_time(X1,start_time(sk1(sk3))) != zero
| ~ greater(zero,zero)
| ~ subpopulation(X1,X0,start_time(sk1(sk3)))
| ~ subpopulation(first_movers,X0,start_time(sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f550,f32]) ).
fof(f575,definition,
! [X0] :
( sQ66_spl
<=> ( ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f576,plain,
! [X0] :
( ~ sQ66_spl
| ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( ~ sQ63_spl
| sQ30_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f572,f575,f239,f549]) ).
fof(f579,definition,
! [X0] :
( sQ67_spl
<=> ( subpopulations(first_movers,efficient_producers,X0,start_time(sk1(sk3)))
| ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f580,plain,
! [X0] :
( ~ sQ67_spl
| subpopulations(first_movers,efficient_producers,X0,start_time(sk1(sk3)))
| ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( ~ sQ63_spl
| ~ sQ65_spl
| ~ sQ32_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f573,f579,f246,f556,f549]) ).
fof(f583,definition,
! [X0,X1] :
( sQ68_spl
<=> ( selection_favors(first_movers,X1,start_time(sk1(sk3)))
| cardinality_at_time(X1,start_time(sk1(sk3))) != zero
| ~ subpopulation(X1,X0,start_time(sk1(sk3)))
| ~ subpopulation(first_movers,X0,start_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ63_spl
| ~ sQ32_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f574,f583,f246,f549]) ).
fof(f587,plain,
( ~ sQ63_spl
| ~ sQ8_spl
| cardinality_at_time(first_movers,critical_point(sk1(sk3))) = zero ),
inference(backward_demodulation,[status(thm)],[f111,f550]) ).
fof(f592,plain,
( ~ sQ63_spl
| ~ sQ8_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f587,f392,f110,f549]) ).
fof(f612,plain,
( ~ sQ66_spl
| ~ sQ58_spl
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f516,f576]) ).
fof(f615,plain,
( ~ sQ66_spl
| ~ sQ58_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f93]) ).
fof(f616,plain,
( ~ sQ66_spl
| ~ sQ58_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f619,plain,
( ~ sQ5_spl
| ~ sQ46_spl
| end_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f387,f52]) ).
fof(f621,definition,
( sQ69_spl
<=> end_time(sk1(sk3)) = critical_point(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ69_spl
| end_time(sk1(sk3)) = critical_point(sk1(sk3)) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( ~ sQ5_spl
| ~ sQ46_spl
| sQ69_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f619,f342,f621,f378,f92]) ).
fof(f637,plain,
( sQ48_spl
| ~ sQ69_spl
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(backward_demodulation,[status(thm)],[f622,f394]) ).
fof(f638,plain,
( ~ sQ9_spl
| ~ sQ69_spl
| greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f622,f125]) ).
fof(f643,plain,
( sQ48_spl
| ~ sQ69_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f637,f228,f621,f392]) ).
fof(f644,plain,
( ~ sQ9_spl
| ~ sQ69_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f288]) ).
fof(f645,plain,
( ~ sQ9_spl
| ~ sQ69_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f644]) ).
fof(f661,plain,
( ~ sQ5_spl
| ~ sQ59_spl
| in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ greater_or_equal(start_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f520,f153]) ).
fof(f665,plain,
( ~ sQ5_spl
| ~ sQ59_spl
| sQ58_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f661,f512,f515,f519,f92]) ).
fof(f679,definition,
( sQ71_spl
<=> in_environment(sk1(sk3),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ71_spl
| in_environment(sk1(sk3),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( sQ71_spl
| ~ in_environment(sk1(sk3),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f684,plain,
! [X0] :
( ~ sQ47_spl
| subpopulations(first_movers,efficient_producers,X0,critical_point(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,critical_point(sk1(sk3))),zero)
| ~ in_environment(X0,critical_point(sk1(sk3)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f390,f42]) ).
fof(f687,plain,
( ~ sQ47_spl
| ~ sQ50_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f684,f427,f401,f389]) ).
fof(f693,plain,
! [X0,X1] :
( ~ sQ31_spl
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ greater(end_time(sk1(sk3)),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f244,f58]) ).
fof(f698,definition,
! [X0,X1] :
( sQ73_spl
<=> ( ~ greater(end_time(sk1(sk3)),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f699,plain,
! [X0,X1] :
( ~ sQ73_spl
| ~ greater(end_time(sk1(sk3)),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ74_spl
<=> greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ74_spl
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( ~ sQ31_spl
| sQ74_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f693,f698,f701,f243]) ).
fof(f705,plain,
! [X0,X1] :
( ~ sQ73_spl
| ~ greater(end_time(sk1(sk3)),X1)
| X1 != critical_point(X0)
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f699]) ).
fof(f707,plain,
! [X0] :
( ~ sQ23_spl
| ~ in_environment(X0,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f271,f37]) ).
fof(f708,definition,
! [X0] :
( sQ75_spl
<=> ( ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),end_time(sk1(sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f709,plain,
! [X0] :
( ~ sQ75_spl
| ~ in_environment(X0,sk1(sk3))
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(sk2(sk1(sk3),X0),end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,plain,
( ~ sQ23_spl
| ~ sQ5_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f707,f708,f92,f195]) ).
fof(f712,plain,
( ~ sQ18_spl
| ~ sQ35_spl
| subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f280,f167]) ).
fof(f713,plain,
! [X0,X1] :
( ~ sQ35_spl
| greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3)))
| ~ greater(sk2(sk1(sk3),sk3),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f280,f58]) ).
fof(f714,definition,
( sQ76_spl
<=> subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ76_spl
| subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( ~ sQ18_spl
| ~ sQ35_spl
| sQ76_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f712,f92,f714,f279,f166]) ).
fof(f718,definition,
! [X0,X1] :
( sQ77_spl
<=> ( ~ greater(sk2(sk1(sk3),sk3),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f719,plain,
! [X0,X1] :
( ~ sQ77_spl
| ~ greater(sk2(sk1(sk3),sk3),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ78_spl
<=> greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ78_spl
| greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( ~ sQ35_spl
| sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f713,f718,f721,f279]) ).
fof(f725,plain,
! [X0,X1] :
( ~ sQ77_spl
| ~ greater(sk2(sk1(sk3),sk3),X1)
| X1 != critical_point(X0)
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f719]) ).
fof(f731,plain,
( ~ sQ40_spl
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f309,f62]) ).
fof(f732,definition,
( sQ79_spl
<=> greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ40_spl
| ~ sQ11_spl
| ~ sQ17_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f731,f732,f163,f136,f308]) ).
fof(f736,plain,
( ~ sQ41_spl
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f318,f62]) ).
fof(f737,definition,
( sQ80_spl
<=> greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ80_spl
| greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( ~ sQ41_spl
| ~ sQ11_spl
| ~ sQ17_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f736,f737,f163,f136,f317]) ).
fof(f741,plain,
( ~ sQ80_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f302]) ).
fof(f742,plain,
( ~ sQ80_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f741]) ).
fof(f743,plain,
( sQ19_spl
| ~ sQ10_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f322,f198,f127,f174]) ).
fof(f754,plain,
! [X0] :
( ~ sQ25_spl
| subpopulations(first_movers,efficient_producers,X0,sk2(sk1(sk3),sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
| ~ in_environment(X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f204,f42]) ).
fof(f757,plain,
( ~ sQ25_spl
| ~ sQ22_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f754,f279,f187,f203]) ).
fof(f762,plain,
( sQ21_spl
| ~ sQ10_spl
| ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(forward_demodulation,[status(thm)],[f128,f479]) ).
fof(f763,plain,
( sQ21_spl
| ~ sQ10_spl
| ~ in_environment(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ slow_change(sk3)
| ~ observational_period(sk3) ),
inference(resolution,[status(thm)],[f762,f37]) ).
fof(f764,plain,
( sQ21_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ43_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f763,f163,f338,f92,f136,f127,f184]) ).
fof(f774,definition,
( sQ82_spl
<=> cardinality_at_time(first_movers,appear(efficient_producers,sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ82_spl
| cardinality_at_time(first_movers,appear(efficient_producers,sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f778,definition,
( sQ83_spl
<=> greater_or_equal(appear(efficient_producers,sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( sQ83_spl
| ~ greater_or_equal(appear(efficient_producers,sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ84_spl
<=> greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f82]) ).
fof(f786,plain,
sQ83_spl,
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f813,definition,
( sQ87_spl
<=> greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ87_spl
| greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f823,plain,
! [X0] :
( ~ sQ82_spl
| greater_or_equal(zero,zero)
| ~ in_environment(X0,appear(efficient_producers,sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f775,f44]) ).
fof(f824,plain,
! [X0] :
( ~ sQ82_spl
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk1(sk3))),zero)
| ~ greater(zero,zero)
| ~ in_environment(X0,appear(efficient_producers,sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f775,f42]) ).
fof(f825,plain,
! [X0,X1] :
( ~ sQ82_spl
| selection_favors(first_movers,X1,appear(efficient_producers,sk1(sk3)))
| cardinality_at_time(X1,appear(efficient_producers,sk1(sk3))) != zero
| ~ greater(zero,zero)
| ~ subpopulation(X1,X0,appear(efficient_producers,sk1(sk3)))
| ~ subpopulation(first_movers,X0,appear(efficient_producers,sk1(sk3)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f775,f32]) ).
fof(f826,definition,
! [X0] :
( sQ89_spl
<=> ( ~ in_environment(X0,appear(efficient_producers,sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ82_spl
| sQ30_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f823,f826,f239,f774]) ).
fof(f830,definition,
! [X0] :
( sQ90_spl
<=> ( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,sk1(sk3)))
| ~ in_environment(X0,appear(efficient_producers,sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ82_spl
| ~ sQ84_spl
| ~ sQ32_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f824,f830,f246,f781,f774]) ).
fof(f834,definition,
! [X0,X1] :
( sQ91_spl
<=> ( selection_favors(first_movers,X1,appear(efficient_producers,sk1(sk3)))
| cardinality_at_time(X1,appear(efficient_producers,sk1(sk3))) != zero
| ~ subpopulation(X1,X0,appear(efficient_producers,sk1(sk3)))
| ~ subpopulation(first_movers,X0,appear(efficient_producers,sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ82_spl
| ~ sQ32_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f825,f834,f246,f774]) ).
fof(f855,plain,
( sQ49_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f100]) ).
fof(f856,plain,
( sQ49_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f880,plain,
( ~ sQ21_spl
| sk2(sk1(sk3),sk3) = appear(efficient_producers,sk1(sk3))
| greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f185,f52]) ).
fof(f881,definition,
( sQ92_spl
<=> sk2(sk1(sk3),sk3) = appear(efficient_producers,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ92_spl
| sk2(sk1(sk3),sk3) = appear(efficient_producers,sk1(sk3)) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( ~ sQ21_spl
| sQ92_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f880,f737,f881,f184]) ).
fof(f893,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ20_spl
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
| cardinality_at_time(X0,end_time(sk1(sk3))) != zero
| ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f192,f101]) ).
fof(f894,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ20_spl
| selection_favors(efficient_producers,first_movers,sk3)
| ~ observational_period(sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ subpopulation(first_movers,X0,end_time(sk1(sk3)))
| ~ subpopulation(efficient_producers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f192,f79]) ).
fof(f895,definition,
! [X0] :
( sQ93_spl
<=> ( selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
| cardinality_at_time(X0,end_time(sk1(sk3))) != zero
| ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f896,plain,
! [X0] :
( ~ sQ93_spl
| selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
| cardinality_at_time(X0,end_time(sk1(sk3))) != zero
| ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| sQ93_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f893,f92,f895,f158,f177]) ).
fof(f899,definition,
! [X0] :
( sQ94_spl
<=> ( ~ subpopulation(first_movers,X0,end_time(sk1(sk3)))
| ~ subpopulation(efficient_producers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f900,plain,
! [X0] :
( ~ sQ94_spl
| ~ subpopulation(first_movers,X0,end_time(sk1(sk3)))
| ~ subpopulation(efficient_producers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sQ6_spl
| ~ sQ17_spl
| ~ sQ28_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f894,f899,f228,f163,f95,f177,f78]) ).
fof(f912,definition,
! [X0] :
( sQ95_spl
<=> ( ~ greater(end_time(sk1(sk3)),X0)
| X0 != critical_point(sk1(sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f913,plain,
! [X0] :
( ~ sQ95_spl
| ~ greater(end_time(sk1(sk3)),X0)
| X0 != critical_point(sk1(sk3)) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f920,definition,
( sQ96_spl
<=> greater(sk2(sk1(sk3),sk3),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( sQ71_spl
| ~ sQ92_spl
| ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(backward_demodulation,[status(thm)],[f882,f681]) ).
fof(f963,plain,
( sQ71_spl
| ~ sQ92_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f167]) ).
fof(f964,plain,
( sQ71_spl
| ~ sQ92_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( ~ sQ5_spl
| ~ sQ71_spl
| greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f680,f103]) ).
fof(f999,plain,
( ~ sQ44_spl
| ~ sQ95_spl
| critical_point(sk1(sk3)) != critical_point(sk1(sk3)) ),
inference(resolution,[status(thm)],[f913,f343]) ).
fof(f1002,plain,
( ~ sQ44_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f999]) ).
fof(f1003,plain,
( ~ sQ44_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1024,plain,
( ~ sQ58_spl
| ~ sQ67_spl
| subpopulations(first_movers,efficient_producers,sk1(sk3),start_time(sk1(sk3)))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f580,f516]) ).
fof(f1025,plain,
! [X0,X1] :
( ~ sQ67_spl
| greater(growth_rate(efficient_producers,start_time(sk1(sk3))),growth_rate(first_movers,start_time(sk1(sk3))))
| ~ greater(start_time(sk1(sk3)),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f580,f58]) ).
fof(f1026,definition,
( sQ99_spl
<=> subpopulations(first_movers,efficient_producers,sk1(sk3),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ99_spl
| subpopulations(first_movers,efficient_producers,sk1(sk3),start_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( ~ sQ58_spl
| ~ sQ67_spl
| sQ99_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1024,f92,f1026,f579,f515]) ).
fof(f1030,definition,
! [X0,X1] :
( sQ100_spl
<=> ( ~ greater(start_time(sk1(sk3)),X1)
| X1 != critical_point(X0)
| ~ environment(X0)
| ~ in_environment(X0,start_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1033,definition,
( sQ101_spl
<=> greater(growth_rate(efficient_producers,start_time(sk1(sk3))),growth_rate(first_movers,start_time(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ67_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1025,f1030,f1033,f579]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ73_spl
| ~ greater(end_time(sk1(sk3)),X0)
| X0 != critical_point(sk1(sk3))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f705,f159]) ).
fof(f1039,plain,
( ~ sQ16_spl
| ~ sQ73_spl
| sQ95_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1038,f92,f912,f698,f158]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ74_spl
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ subpopulations(first_movers,efficient_producers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f702,f30]) ).
fof(f1043,definition,
! [X0] :
( sQ102_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ102_spl
| ~ subpopulations(first_movers,efficient_producers,X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,definition,
( sQ103_spl
<=> selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ103_spl
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,plain,
( ~ sQ74_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1041,f1043,f1046,f701]) ).
fof(f1051,plain,
( ~ sQ4_spl
| ~ sQ103_spl
| selection_favors(efficient_producers,first_movers,sk3)
| ~ observational_period(sk3) ),
inference(resolution,[status(thm)],[f1047,f79]) ).
fof(f1052,plain,
( ~ sQ4_spl
| ~ sQ103_spl
| sQ6_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1051,f163,f95,f1046,f78]) ).
fof(f1053,plain,
( ~ sQ75_spl
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| greater(sk2(sk1(sk3),sk3),end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f709,f62]) ).
fof(f1054,plain,
( ~ sQ75_spl
| ~ sQ11_spl
| ~ sQ17_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1053,f920,f163,f136,f708]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ76_spl
| greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3)))
| ~ greater(sk2(sk1(sk3),sk3),X0)
| X0 != critical_point(sk1(sk3))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f715,f58]) ).
fof(f1056,definition,
! [X0] :
( sQ104_spl
<=> ( ~ greater(sk2(sk1(sk3),sk3),X0)
| X0 != critical_point(sk1(sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( ~ sQ76_spl
| sQ78_spl
| sQ104_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1055,f92,f1056,f721,f714]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ78_spl
| selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f722,f30]) ).
fof(f1063,definition,
! [X0] :
( sQ105_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,sk2(sk1(sk3),sk3))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1066,definition,
( sQ106_spl
<=> selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( ~ sQ78_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1061,f1063,f1066,f721]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ77_spl
| ~ greater(sk2(sk1(sk3),sk3),X0)
| X0 != critical_point(sk1(sk3))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f725,f167]) ).
fof(f1071,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| sQ104_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1070,f92,f1056,f718,f166]) ).
fof(f1077,plain,
( ~ sQ5_spl
| ~ sQ93_spl
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(resolution,[status(thm)],[f896,f102]) ).
fof(f1079,plain,
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ16_spl
| sQ103_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1077,f228,f1046,f158,f895,f92]) ).
fof(f1087,plain,
( ~ sQ5_spl
| ~ sQ94_spl
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3)))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f900,f101]) ).
fof(f1089,definition,
( sQ109_spl
<=> subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( sQ109_spl
| ~ subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,plain,
( ~ sQ94_spl
| ~ sQ16_spl
| ~ sQ109_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1087,f92,f1089,f158,f899]) ).
fof(f1093,definition,
( sQ110_spl
<=> subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( sQ110_spl
| ~ subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1118,plain,
( ~ sQ5_spl
| sQ109_spl
| ~ in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f1091,f102]) ).
fof(f1119,plain,
( ~ sQ5_spl
| sQ109_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1118,f158,f1089,f92]) ).
fof(f1120,plain,
( ~ sQ5_spl
| ~ sQ71_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f966,f174,f679,f92]) ).
fof(f1122,plain,
( sQ19_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f814]) ).
fof(f1123,plain,
( sQ19_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( ~ sQ5_spl
| sQ110_spl
| ~ in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[f1095,f101]) ).
fof(f1125,plain,
( ~ sQ5_spl
| sQ110_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1124,f158,f1093,f92]) ).
fof(f1148,plain,
( ~ sQ9_spl
| sQ19_spl
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[f288,f287]) ).
fof(f1149,plain,
( ~ sQ9_spl
| sQ19_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1148,f342,f174,f124]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ99_spl
| greater(growth_rate(efficient_producers,start_time(sk1(sk3))),growth_rate(first_movers,start_time(sk1(sk3))))
| ~ greater(start_time(sk1(sk3)),X0)
| X0 != critical_point(sk1(sk3))
| ~ environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[f1027,f58]) ).
fof(f1181,definition,
! [X0] :
( sQ114_spl
<=> ( ~ greater(start_time(sk1(sk3)),X0)
| X0 != critical_point(sk1(sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( ~ sQ99_spl
| sQ101_spl
| sQ114_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1180,f92,f1181,f1033,f1026]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ102_spl
| ~ in_environment(X0,end_time(sk1(sk3)))
| ~ environment(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f244,f1044]) ).
fof(f1186,plain,
( ~ sQ31_spl
| ~ sQ102_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1185,f236,f1043,f243]) ).
fof(f1187,plain,
$false,
inference(sat_refutation,[status(thm)],[f73,f77,f81,f84,f86,f98,f113,f115,f130,f139,f161,f169,f171,f180,f190,f201,f209,f220,f231,f242,f249,f253,f264,f278,f282,f286,f301,f305,f311,f315,f320,f328,f334,f345,f347,f360,f381,f383,f385,f395,f404,f426,f430,f434,f437,f456,f491,f501,f505,f525,f527,f542,f552,f559,f562,f565,f578,f582,f586,f592,f616,f624,f643,f645,f665,f687,f704,f711,f717,f724,f735,f740,f742,f743,f757,f764,f786,f829,f833,f837,f856,f884,f898,f902,f964,f1003,f1029,f1036,f1039,f1049,f1052,f1054,f1059,f1069,f1071,f1079,f1092,f1119,f1120,f1123,f1125,f1149,f1184,f1186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-2 : 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 : n008.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 01:23:41 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.48/0.51 % Elapsed time: 0.139847 seconds
% 0.48/0.51 % CPU time: 0.848276 seconds
% 0.48/0.51 % Total memory used: 94.663 MB
% 0.48/0.51 % Net memory used: 93.231 MB
%------------------------------------------------------------------------------