TSTP Solution File: MGT029+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT029+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:28:41 EDT 2024
% Result : Theorem 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 49
% Syntax : Number of formulae : 286 ( 7 unt; 0 def)
% Number of atoms : 893 ( 49 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1052 ( 445 ~; 506 |; 48 &)
% ( 41 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 50 ( 48 usr; 41 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 99 ( 91 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] :
( ( greater(X,Y)
& greater(Y,Z) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E,T1,T2] :
( ( in_environment(E,T1)
& in_environment(E,T2) )
=> ( greater(T2,T1)
| T2 = T1
| greater(T1,T2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E)) )
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( in_environment(E,To)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [T] :
( in_environment(E,T)
& greater_or_equal(T,equilibrium(E)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( in_environment(E,To)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( in_environment(E,To)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X,Z] :
( ! [Y] :
( ~ greater(X,Y)
| ~ greater(Y,Z) )
| greater(X,Z) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [E,T1,T2] :
( ~ in_environment(E,T1)
| ~ in_environment(E,T2)
| greater(T2,T1)
| T2 = T1
| greater(T1,T2) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [T1,T2] :
( ! [E] :
( ~ in_environment(E,T1)
| ~ in_environment(E,T2) )
| greater(T2,T1)
| T2 = T1
| greater(T1,T2) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ in_environment(X0,X1)
| ~ in_environment(X0,X2)
| greater(X2,X1)
| X2 = X1
| greater(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [X,Y] :
( ( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y )
& ( greater_or_equal(X,Y)
| ( ~ greater(X,Y)
& X != Y ) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
( ! [X,Y] :
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y )
& ! [X,Y] :
( greater_or_equal(X,Y)
| ( ~ greater(X,Y)
& X != Y ) ) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f20,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ greater_or_equal(T,equilibrium(E))
| ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [T] :
( pd0_0(T)
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ) ),
introduced(predicate_definition,[f20]) ).
fof(f22,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ greater_or_equal(T,equilibrium(E))
| pd0_0(T)
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ),
inference(formula_renaming,[status(thm)],[f20,f21]) ).
fof(f23,plain,
! [T] :
( ! [E] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ greater_or_equal(T,equilibrium(E)) )
| pd0_0(T)
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| pd0_0(X1)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| pd0_0(X1)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f26,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ? [To] :
( in_environment(E,To)
& ! [T] :
( ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ greater_or_equal(T,To)
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f27,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ( in_environment(E,sk0_0(E))
& ! [T] :
( ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ greater_or_equal(T,sk0_0(E))
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ),
inference(skolemization,[status(esa)],[f26]) ).
fof(f28,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk0_0(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f30,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ? [T] :
( in_environment(E,T)
& greater_or_equal(T,equilibrium(E)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f31,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ( in_environment(E,sk0_1(E))
& greater_or_equal(sk0_1(E),equilibrium(E)) ) ),
inference(skolemization,[status(esa)],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(sk0_1(X0),equilibrium(X0)) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f34,plain,
? [E] :
( environment(E)
& stable(E)
& ! [To] :
( ~ in_environment(E,To)
| ? [T] :
( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To)
& ( ~ greater(growth_rate(efficient_producers,T),zero)
| ~ greater(zero,growth_rate(first_movers,T)) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f35,plain,
( environment(sk0_2)
& stable(sk0_2)
& ! [To] :
( ~ in_environment(sk0_2,To)
| ( subpopulations(first_movers,efficient_producers,sk0_2,sk0_3(To))
& greater_or_equal(sk0_3(To),To)
& ( ~ greater(growth_rate(efficient_producers,sk0_3(To)),zero)
| ~ greater(zero,growth_rate(first_movers,sk0_3(To))) ) ) ) ),
inference(skolemization,[status(esa)],[f34]) ).
fof(f36,plain,
environment(sk0_2),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
stable(sk0_2),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f38,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| subpopulations(first_movers,efficient_producers,sk0_2,sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f39,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| greater_or_equal(sk0_3(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f40,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| ~ greater(growth_rate(efficient_producers,sk0_3(X0)),zero)
| ~ greater(zero,growth_rate(first_movers,sk0_3(X0))) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f41,plain,
! [T] :
( ~ pd0_0(T)
| ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f42,plain,
! [T] :
( pd0_1(T)
=> ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero ) ),
introduced(predicate_definition,[f41]) ).
fof(f43,plain,
! [T] :
( ~ pd0_0(T)
| pd0_1(T)
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(formula_renaming,[status(thm)],[f41,f42]) ).
fof(f44,plain,
! [X0] :
( ~ pd0_0(X0)
| pd0_1(X0)
| greater(growth_rate(first_movers,X0),zero) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
! [X0] :
( ~ pd0_0(X0)
| pd0_1(X0)
| greater(zero,growth_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f46,plain,
! [T] :
( ~ pd0_1(T)
| ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero ) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f47,plain,
! [X0] :
( ~ pd0_1(X0)
| growth_rate(first_movers,X0) = zero ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [X0] :
( ~ pd0_1(X0)
| growth_rate(efficient_producers,X0) = zero ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f49,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f19]) ).
fof(f50,plain,
( spl0_0
<=> environment(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f52,plain,
( ~ environment(sk0_2)
| spl0_0 ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( spl0_1
<=> in_environment(sk0_2,sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( in_environment(sk0_2,sk0_0(sk0_2))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,plain,
( ~ environment(sk0_2)
| in_environment(sk0_2,sk0_0(sk0_2)) ),
inference(resolution,[status(thm)],[f28,f37]) ).
fof(f57,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f56,f50,f53]) ).
fof(f58,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f36]) ).
fof(f59,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f58]) ).
fof(f60,plain,
( spl0_2
<=> in_environment(sk0_2,sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( in_environment(sk0_2,sk0_1(sk0_2))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( ~ environment(sk0_2)
| in_environment(sk0_2,sk0_1(sk0_2)) ),
inference(resolution,[status(thm)],[f32,f37]) ).
fof(f64,plain,
( ~ spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f63,f50,f60]) ).
fof(f65,plain,
( spl0_3
<=> greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f66,plain,
( greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2))
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( ~ environment(sk0_2)
| greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2)) ),
inference(resolution,[status(thm)],[f33,f37]) ).
fof(f69,plain,
( ~ spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f68,f50,f65]) ).
fof(f70,plain,
( subpopulations(first_movers,efficient_producers,sk0_2,sk0_3(sk0_0(sk0_2)))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f54,f38]) ).
fof(f71,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f54,f39]) ).
fof(f72,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| greater(sk0_0(sk0_2),X0)
| sk0_0(sk0_2) = X0
| greater(X0,sk0_0(sk0_2))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f54,f14]) ).
fof(f73,plain,
( subpopulations(first_movers,efficient_producers,sk0_2,sk0_3(sk0_1(sk0_2)))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f61,f38]) ).
fof(f74,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f61,f39]) ).
fof(f76,plain,
( spl0_4
<=> greater(sk0_1(sk0_2),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( greater(sk0_1(sk0_2),equilibrium(sk0_2))
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( spl0_5
<=> sk0_1(sk0_2) = equilibrium(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( sk0_1(sk0_2) = equilibrium(sk0_2)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( greater(sk0_1(sk0_2),equilibrium(sk0_2))
| sk0_1(sk0_2) = equilibrium(sk0_2)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f66,f17]) ).
fof(f83,plain,
( spl0_4
| spl0_5
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f82,f76,f79,f65]) ).
fof(f84,plain,
! [X0] :
( ~ greater(X0,sk0_1(sk0_2))
| greater(X0,equilibrium(sk0_2))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f77,f11]) ).
fof(f85,plain,
( spl0_6
<=> greater(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f86,plain,
( greater(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( spl0_7
<=> sk0_3(sk0_0(sk0_2)) = sk0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f89,plain,
( sk0_3(sk0_0(sk0_2)) = sk0_0(sk0_2)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( greater(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| sk0_3(sk0_0(sk0_2)) = sk0_0(sk0_2)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f71,f17]) ).
fof(f92,plain,
( spl0_6
| spl0_7
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f91,f85,f88,f53]) ).
fof(f93,plain,
( spl0_8
<=> greater(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( spl0_9
<=> sk0_3(sk0_1(sk0_2)) = sk0_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f97,plain,
( sk0_3(sk0_1(sk0_2)) = sk0_1(sk0_2)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| sk0_3(sk0_1(sk0_2)) = sk0_1(sk0_2)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f74,f17]) ).
fof(f100,plain,
( spl0_8
| spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f99,f93,f96,f60]) ).
fof(f103,plain,
( spl0_10
<=> stable(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f105,plain,
( ~ stable(sk0_2)
| spl0_10 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( spl0_11
<=> greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f108,plain,
( ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| spl0_11 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( spl0_12
<=> greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),growth_rate(first_movers,sk0_3(sk0_0(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f110,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( ~ environment(sk0_2)
| ~ stable(sk0_2)
| ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f70,f29]) ).
fof(f113,plain,
( ~ spl0_0
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f112,f50,f103,f106,f109,f53]) ).
fof(f114,plain,
( spl0_13
<=> greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| spl0_13 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( spl0_14
<=> pd0_0(sk0_3(sk0_0(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f118,plain,
( pd0_0(sk0_3(sk0_0(sk0_2)))
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( spl0_15
<=> greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f121,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( ~ environment(sk0_2)
| ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| pd0_0(sk0_3(sk0_0(sk0_2)))
| greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f70,f25]) ).
fof(f124,plain,
( ~ spl0_0
| ~ spl0_13
| spl0_14
| spl0_15
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f123,f50,f114,f117,f120,f53]) ).
fof(f125,plain,
( spl0_16
<=> greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f127,plain,
( ~ greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| spl0_16 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( ~ environment(sk0_2)
| ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| pd0_0(sk0_3(sk0_0(sk0_2)))
| greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f70,f24]) ).
fof(f129,plain,
( ~ spl0_0
| ~ spl0_13
| spl0_14
| spl0_16
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f128,f50,f114,f117,f125,f53]) ).
fof(f130,plain,
( $false
| ~ spl0_1
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f71]) ).
fof(f131,plain,
( ~ spl0_1
| spl0_11 ),
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f37]) ).
fof(f133,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( spl0_17
<=> greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f136,plain,
( ~ greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| spl0_17 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( spl0_18
<=> greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),growth_rate(first_movers,sk0_3(sk0_1(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f138,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( ~ environment(sk0_2)
| ~ stable(sk0_2)
| ~ greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f73,f29]) ).
fof(f141,plain,
( ~ spl0_0
| ~ spl0_10
| ~ spl0_17
| spl0_18
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f140,f50,f103,f134,f137,f60]) ).
fof(f142,plain,
( spl0_19
<=> greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( ~ greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| spl0_19 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( spl0_20
<=> pd0_0(sk0_3(sk0_1(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f146,plain,
( pd0_0(sk0_3(sk0_1(sk0_2)))
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( spl0_21
<=> greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f149,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( ~ environment(sk0_2)
| ~ greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| pd0_0(sk0_3(sk0_1(sk0_2)))
| greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f73,f25]) ).
fof(f152,plain,
( ~ spl0_0
| ~ spl0_19
| spl0_20
| spl0_21
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f151,f50,f142,f145,f148,f60]) ).
fof(f153,plain,
( spl0_22
<=> greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f155,plain,
( ~ greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| spl0_22 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( ~ environment(sk0_2)
| ~ greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| pd0_0(sk0_3(sk0_1(sk0_2)))
| greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f73,f24]) ).
fof(f157,plain,
( ~ spl0_0
| ~ spl0_19
| spl0_20
| spl0_22
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f156,f50,f142,f145,f153,f60]) ).
fof(f158,plain,
( spl0_23
<=> greater(sk0_0(sk0_2),sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f159,plain,
( greater(sk0_0(sk0_2),sk0_1(sk0_2))
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( spl0_24
<=> sk0_0(sk0_2) = sk0_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f162,plain,
( sk0_0(sk0_2) = sk0_1(sk0_2)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( spl0_25
<=> greater(sk0_1(sk0_2),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f165,plain,
( greater(sk0_1(sk0_2),sk0_0(sk0_2))
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( greater(sk0_0(sk0_2),sk0_1(sk0_2))
| sk0_0(sk0_2) = sk0_1(sk0_2)
| greater(sk0_1(sk0_2),sk0_0(sk0_2))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f72,f61]) ).
fof(f168,plain,
( spl0_23
| spl0_24
| spl0_25
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f167,f158,f161,f164,f53,f60]) ).
fof(f187,plain,
( greater(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f84,f94]) ).
fof(f188,plain,
( spl0_30
<=> pd0_1(sk0_3(sk0_1(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( pd0_1(sk0_3(sk0_1(sk0_2)))
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( spl0_31
<=> greater(zero,growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f192,plain,
( greater(zero,growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( pd0_1(sk0_3(sk0_1(sk0_2)))
| greater(zero,growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f146,f45]) ).
fof(f195,plain,
( spl0_30
| spl0_31
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f194,f188,f191,f145]) ).
fof(f196,plain,
( spl0_32
<=> greater(growth_rate(first_movers,sk0_3(sk0_1(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f197,plain,
( greater(growth_rate(first_movers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( pd0_1(sk0_3(sk0_1(sk0_2)))
| greater(growth_rate(first_movers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f146,f44]) ).
fof(f200,plain,
( spl0_30
| spl0_32
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f199,f188,f196,f145]) ).
fof(f201,plain,
( spl0_33
<=> pd0_1(sk0_3(sk0_0(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f202,plain,
( pd0_1(sk0_3(sk0_0(sk0_2)))
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( spl0_34
<=> greater(zero,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f205,plain,
( greater(zero,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))))
| spl0_34 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( pd0_1(sk0_3(sk0_0(sk0_2)))
| greater(zero,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f118,f45]) ).
fof(f208,plain,
( spl0_33
| spl0_34
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f207,f201,f204,f117]) ).
fof(f209,plain,
( spl0_35
<=> greater(growth_rate(first_movers,sk0_3(sk0_0(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f210,plain,
( greater(growth_rate(first_movers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( pd0_1(sk0_3(sk0_0(sk0_2)))
| greater(growth_rate(first_movers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f118,f44]) ).
fof(f213,plain,
( spl0_33
| spl0_35
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f212,f201,f209,f117]) ).
fof(f214,plain,
( growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))) = zero
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f189,f48]) ).
fof(f215,plain,
( growth_rate(first_movers,sk0_3(sk0_1(sk0_2))) = zero
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f189,f47]) ).
fof(f218,plain,
( growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))) = zero
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f202,f48]) ).
fof(f219,plain,
( growth_rate(first_movers,sk0_3(sk0_0(sk0_2))) = zero
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f202,f47]) ).
fof(f220,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_33
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f218,f110]) ).
fof(f222,plain,
( greater_or_equal(sk0_1(sk0_2),sk0_0(sk0_2))
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f165,f18]) ).
fof(f223,plain,
! [X0] :
( ~ greater(X0,sk0_1(sk0_2))
| greater(X0,sk0_0(sk0_2))
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f165,f11]) ).
fof(f228,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f187,f18]) ).
fof(f229,plain,
( $false
| spl0_19
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f144]) ).
fof(f230,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f236,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_30
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f214,f138]) ).
fof(f242,plain,
( growth_rate(efficient_producers,sk0_1(sk0_2)) = zero
| ~ spl0_9
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f97,f214]) ).
fof(f243,plain,
( growth_rate(first_movers,sk0_1(sk0_2)) = zero
| ~ spl0_9
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f97,f215]) ).
fof(f246,plain,
( ~ greater_or_equal(sk0_1(sk0_2),sk0_0(sk0_2))
| ~ spl0_9
| spl0_17 ),
inference(backward_demodulation,[status(thm)],[f97,f136]) ).
fof(f247,plain,
( $false
| ~ spl0_25
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f222]) ).
fof(f248,plain,
( ~ spl0_25
| ~ spl0_9
| spl0_17 ),
inference(contradiction_clause,[status(thm)],[f247]) ).
fof(f259,plain,
( spl0_36
<=> greater(zero,growth_rate(first_movers,sk0_1(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f261,plain,
( ~ greater(zero,growth_rate(first_movers,sk0_1(sk0_2)))
| spl0_36 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( ~ in_environment(sk0_2,sk0_1(sk0_2))
| ~ greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ greater(zero,growth_rate(first_movers,sk0_1(sk0_2)))
| ~ spl0_9 ),
inference(paramodulation,[status(thm)],[f97,f40]) ).
fof(f263,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_36
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f262,f60,f153,f259,f96]) ).
fof(f264,plain,
( ~ greater(zero,zero)
| ~ spl0_9
| ~ spl0_30
| spl0_36 ),
inference(forward_demodulation,[status(thm)],[f243,f261]) ).
fof(f265,plain,
( greater(zero,zero)
| ~ spl0_30
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f215,f236]) ).
fof(f266,plain,
( $false
| ~ spl0_9
| spl0_36
| ~ spl0_30
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f264]) ).
fof(f267,plain,
( ~ spl0_9
| spl0_36
| ~ spl0_30
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( greater(zero,zero)
| ~ spl0_30
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f215,f149]) ).
fof(f270,plain,
( ~ greater(growth_rate(efficient_producers,sk0_1(sk0_2)),zero)
| ~ spl0_9
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f97,f155]) ).
fof(f271,plain,
( ~ greater(zero,zero)
| ~ spl0_30
| ~ spl0_9
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f242,f270]) ).
fof(f272,plain,
( $false
| ~ spl0_21
| ~ spl0_30
| ~ spl0_9
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f268]) ).
fof(f273,plain,
( ~ spl0_21
| ~ spl0_30
| ~ spl0_9
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f272]) ).
fof(f277,plain,
( greater(zero,zero)
| ~ spl0_33
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f219,f220]) ).
fof(f302,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f61,f39]) ).
fof(f313,plain,
( greater_or_equal(sk0_0(sk0_2),sk0_1(sk0_2))
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f159,f18]) ).
fof(f314,plain,
! [X0] :
( ~ greater(X0,sk0_0(sk0_2))
| greater(X0,sk0_1(sk0_2))
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f159,f11]) ).
fof(f338,plain,
( greater(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_4
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f84,f159]) ).
fof(f340,plain,
( greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_4
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f338,f18]) ).
fof(f356,plain,
( spl0_44
<=> greater(sk0_0(sk0_2),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( spl0_45
<=> sk0_0(sk0_2) = equilibrium(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( greater(sk0_0(sk0_2),equilibrium(sk0_2))
| sk0_0(sk0_2) = equilibrium(sk0_2)
| ~ spl0_4
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f340,f17]) ).
fof(f363,plain,
( spl0_44
| spl0_45
| ~ spl0_4
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f362,f356,f359,f76,f158]) ).
fof(f367,plain,
! [X0] :
( ~ greater(X0,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| greater(X0,zero)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f210,f11]) ).
fof(f368,plain,
( greater(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| ~ spl0_23
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f314,f86]) ).
fof(f370,plain,
( greater(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_23
| ~ spl0_6
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f368,f84]) ).
fof(f371,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| ~ spl0_23
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f368,f18]) ).
fof(f374,plain,
! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))))
| greater(X0,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f110,f11]) ).
fof(f375,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_23
| ~ spl0_6
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f370,f18]) ).
fof(f376,plain,
( $false
| spl0_13
| ~ spl0_23
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f375,f116]) ).
fof(f377,plain,
( spl0_13
| ~ spl0_23
| ~ spl0_6
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( subpopulations(first_movers,efficient_producers,sk0_2,sk0_0(sk0_2))
| ~ spl0_7
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f89,f70]) ).
fof(f444,plain,
( ~ in_environment(sk0_2,sk0_0(sk0_2))
| ~ greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f121,f40]) ).
fof(f445,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f444,f53,f125,f120]) ).
fof(f459,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_12
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f110,f367]) ).
fof(f460,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f459,f125,f109,f209]) ).
fof(f466,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_12
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f374,f205]) ).
fof(f467,plain,
( spl0_15
| ~ spl0_12
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f466,f120,f109,f204]) ).
fof(f468,plain,
( ~ greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_7
| spl0_13 ),
inference(backward_demodulation,[status(thm)],[f89,f116]) ).
fof(f469,plain,
( $false
| ~ spl0_4
| ~ spl0_23
| ~ spl0_7
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f340]) ).
fof(f470,plain,
( ~ spl0_4
| ~ spl0_23
| ~ spl0_7
| spl0_13 ),
inference(contradiction_clause,[status(thm)],[f469]) ).
fof(f489,plain,
( ~ greater_or_equal(sk0_0(sk0_2),sk0_0(sk0_2))
| ~ spl0_24
| ~ spl0_9
| spl0_17 ),
inference(backward_demodulation,[status(thm)],[f162,f246]) ).
fof(f490,plain,
( $false
| ~ spl0_24
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f49]) ).
fof(f491,plain,
( ~ spl0_24
| ~ spl0_9
| spl0_17 ),
inference(contradiction_clause,[status(thm)],[f490]) ).
fof(f500,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| ~ spl0_24
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f162,f302]) ).
fof(f501,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| ~ spl0_24
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f162,f500]) ).
fof(f516,plain,
( ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| ~ spl0_24
| spl0_17 ),
inference(forward_demodulation,[status(thm)],[f162,f136]) ).
fof(f517,plain,
( $false
| ~ spl0_2
| ~ spl0_24
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f501]) ).
fof(f518,plain,
( ~ spl0_2
| ~ spl0_24
| spl0_17 ),
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f530,plain,
( ~ greater(zero,zero)
| ~ spl0_33
| spl0_16 ),
inference(forward_demodulation,[status(thm)],[f218,f127]) ).
fof(f531,plain,
( $false
| ~ spl0_12
| ~ spl0_33
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f277]) ).
fof(f532,plain,
( ~ spl0_12
| ~ spl0_33
| spl0_16 ),
inference(contradiction_clause,[status(thm)],[f531]) ).
fof(f548,plain,
( ~ greater(zero,zero)
| ~ spl0_33
| spl0_34 ),
inference(backward_demodulation,[status(thm)],[f218,f206]) ).
fof(f549,plain,
( $false
| ~ spl0_12
| ~ spl0_33
| spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f277]) ).
fof(f550,plain,
( ~ spl0_12
| ~ spl0_33
| spl0_34 ),
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f596,plain,
( spl0_55
<=> greater(zero,zero) ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( ~ greater(zero,zero)
| spl0_55 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( ~ in_environment(sk0_2,sk0_1(sk0_2))
| ~ greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ greater(zero,zero)
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f215,f40]) ).
fof(f600,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_55
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f599,f60,f153,f596,f188]) ).
fof(f614,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| ~ spl0_25
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f223,f94]) ).
fof(f616,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| ~ spl0_25
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f614,f18]) ).
fof(f617,plain,
( spl0_17
| ~ spl0_25
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f616,f134,f164,f93]) ).
fof(f634,plain,
( ~ greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2))
| ~ spl0_9
| spl0_19 ),
inference(forward_demodulation,[status(thm)],[f97,f144]) ).
fof(f635,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f66]) ).
fof(f636,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_19 ),
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f640,plain,
( $false
| spl0_55
| ~ spl0_30
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f598]) ).
fof(f641,plain,
( spl0_55
| ~ spl0_30
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_30
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f214,f138]) ).
fof(f643,plain,
( greater(zero,zero)
| ~ spl0_30
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f215,f642]) ).
fof(f669,plain,
( ~ greater(zero,zero)
| ~ spl0_30
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f214,f155]) ).
fof(f670,plain,
( $false
| ~ spl0_18
| ~ spl0_30
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f643]) ).
fof(f671,plain,
( ~ spl0_18
| ~ spl0_30
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f725,plain,
! [X0] :
( ~ greater(X0,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| greater(X0,zero)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f197,f11]) ).
fof(f732,plain,
( spl0_58
<=> zero = growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( zero = growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2)))
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f745,plain,
! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))))
| greater(X0,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f138,f11]) ).
fof(f748,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_32
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f725,f138]) ).
fof(f751,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_32
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f748,f18]) ).
fof(f753,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))) = zero
| ~ spl0_32
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f751,f17]) ).
fof(f754,plain,
( spl0_22
| spl0_58
| ~ spl0_32
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f753,f153,f732,f196,f137]) ).
fof(f786,plain,
( spl0_60
<=> greater_or_equal(sk0_0(sk0_2),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( ~ greater_or_equal(sk0_0(sk0_2),sk0_0(sk0_2))
| spl0_60 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( spl0_61
<=> greater(growth_rate(efficient_producers,sk0_0(sk0_2)),growth_rate(first_movers,sk0_0(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( ~ environment(sk0_2)
| ~ stable(sk0_2)
| ~ greater_or_equal(sk0_0(sk0_2),sk0_0(sk0_2))
| greater(growth_rate(efficient_producers,sk0_0(sk0_2)),growth_rate(first_movers,sk0_0(sk0_2)))
| ~ spl0_7
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f378,f29]) ).
fof(f793,plain,
( ~ spl0_0
| ~ spl0_10
| ~ spl0_60
| spl0_61
| ~ spl0_7
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f792,f50,f103,f786,f789,f88,f53]) ).
fof(f794,plain,
( spl0_62
<=> greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f796,plain,
( ~ greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| spl0_62 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f807,plain,
( $false
| spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f788,f49]) ).
fof(f808,plain,
spl0_60,
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f925,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_18
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f745,f192]) ).
fof(f929,plain,
( ~ in_environment(sk0_2,sk0_1(sk0_2))
| ~ greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_18
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f925,f40]) ).
fof(f930,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_18
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f929,f60,f153,f137,f191]) ).
fof(f933,plain,
( greater(zero,zero)
| ~ spl0_18
| ~ spl0_31
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f925,f725]) ).
fof(f934,plain,
( ~ greater(zero,zero)
| ~ spl0_58
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f733,f155]) ).
fof(f935,plain,
( $false
| ~ spl0_18
| ~ spl0_31
| ~ spl0_32
| ~ spl0_58
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f934,f933]) ).
fof(f936,plain,
( ~ spl0_18
| ~ spl0_31
| ~ spl0_32
| ~ spl0_58
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f967,plain,
( ~ in_environment(sk0_2,sk0_1(sk0_2))
| ~ greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f149,f40]) ).
fof(f968,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f967,f60,f153,f148]) ).
fof(f976,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_5
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f80,f74]) ).
fof(f977,plain,
( spl0_19
| ~ spl0_5
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f976,f142,f79,f60]) ).
fof(f1067,plain,
( greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f80,f313]) ).
fof(f1068,plain,
( $false
| spl0_62
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f796]) ).
fof(f1069,plain,
( spl0_62
| ~ spl0_5
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1080,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_5
| ~ spl0_23
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f80,f371]) ).
fof(f1084,plain,
( $false
| ~ spl0_5
| ~ spl0_23
| ~ spl0_6
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f1080]) ).
fof(f1085,plain,
( ~ spl0_5
| ~ spl0_23
| ~ spl0_6
| spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1095,plain,
( ~ greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_7
| spl0_13 ),
inference(backward_demodulation,[status(thm)],[f89,f116]) ).
fof(f1096,plain,
( ~ spl0_62
| ~ spl0_7
| spl0_13 ),
inference(split_clause,[status(thm)],[f1095,f794,f88,f114]) ).
fof(f1102,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f59,f64,f69,f83,f92,f100,f113,f124,f129,f131,f133,f141,f152,f157,f168,f195,f200,f208,f213,f230,f248,f263,f267,f273,f363,f377,f445,f460,f467,f470,f491,f518,f532,f550,f600,f617,f636,f641,f671,f754,f793,f808,f930,f936,f968,f977,f1069,f1085,f1096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT029+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:27:35 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.18/0.51 % Refutation found
% 0.18/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.53 % Elapsed time: 0.191257 seconds
% 0.18/0.53 % CPU time: 1.414920 seconds
% 0.18/0.53 % Total memory used: 67.267 MB
% 0.18/0.53 % Net memory used: 66.347 MB
%------------------------------------------------------------------------------