TSTP Solution File: MGT035+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT035+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:28:43 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 61
% Syntax : Number of formulae : 333 ( 5 unt; 0 def)
% Number of atoms : 988 ( 63 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1124 ( 469 ~; 535 |; 53 &)
% ( 54 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 62 ( 60 usr; 52 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 120 ( 112 !; 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,S1,S2,T] :
( ( environment(E)
& subpopulations(S1,S2,E,T) )
=> ( ( greater_or_equal(growth_rate(S2,T),zero)
& greater(zero,growth_rate(S1,T)) )
<=> outcompetes(S2,S1,T) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,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(f6,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(f7,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(f8,conjecture,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( in_environment(E,To)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> outcompetes(efficient_producers,first_movers,T) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,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) )
=> outcompetes(efficient_producers,first_movers,T) ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X,Z] :
( ! [Y] :
( ~ greater(X,Y)
| ~ greater(Y,Z) )
| greater(X,Z) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,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(f14,plain,
! [T1,T2] :
( ! [E] :
( ~ in_environment(E,T1)
| ~ in_environment(E,T2) )
| greater(T2,T1)
| T2 = T1
| greater(T1,T2) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f15,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)],[f14]) ).
fof(f16,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(f17,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)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f20,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f21,plain,
! [E,S1,S2,T] :
( ~ environment(E)
| ~ subpopulations(S1,S2,E,T)
| ( ( greater_or_equal(growth_rate(S2,T),zero)
& greater(zero,growth_rate(S1,T)) )
<=> outcompetes(S2,S1,T) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [E,S1,S2,T] :
( ~ environment(E)
| ~ subpopulations(S1,S2,E,T)
| ( ( ~ greater_or_equal(growth_rate(S2,T),zero)
| ~ greater(zero,growth_rate(S1,T))
| outcompetes(S2,S1,T) )
& ( ( greater_or_equal(growth_rate(S2,T),zero)
& greater(zero,growth_rate(S1,T)) )
| ~ outcompetes(S2,S1,T) ) ) ),
inference(NNF_transformation,[status(esa)],[f21]) ).
fof(f23,plain,
! [S1,S2,T] :
( ! [E] :
( ~ environment(E)
| ~ subpopulations(S1,S2,E,T) )
| ( ( ~ greater_or_equal(growth_rate(S2,T),zero)
| ~ greater(zero,growth_rate(S1,T))
| outcompetes(S2,S1,T) )
& ( ( greater_or_equal(growth_rate(S2,T),zero)
& greater(zero,growth_rate(S1,T)) )
| ~ outcompetes(S2,S1,T) ) ) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ greater(zero,growth_rate(X1,X3))
| outcompetes(X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f27,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)],[f5]) ).
fof(f28,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,[f27]) ).
fof(f29,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)],[f27,f28]) ).
fof(f30,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)],[f29]) ).
fof(f31,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)],[f30]) ).
fof(f32,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)],[f30]) ).
fof(f33,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)],[f6]) ).
fof(f34,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)],[f33]) ).
fof(f35,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f36,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)],[f34]) ).
fof(f37,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ? [T] :
( in_environment(E,T)
& greater_or_equal(T,equilibrium(E)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f38,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ( in_environment(E,sk0_1(E))
& greater_or_equal(sk0_1(E),equilibrium(E)) ) ),
inference(skolemization,[status(esa)],[f37]) ).
fof(f39,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(sk0_1(X0),equilibrium(X0)) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f41,plain,
? [E] :
( environment(E)
& stable(E)
& ! [To] :
( ~ in_environment(E,To)
| ? [T] :
( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To)
& ~ outcompetes(efficient_producers,first_movers,T) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f42,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)
& ~ outcompetes(efficient_producers,first_movers,sk0_3(To)) ) ) ),
inference(skolemization,[status(esa)],[f41]) ).
fof(f43,plain,
environment(sk0_2),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
stable(sk0_2),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f45,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| subpopulations(first_movers,efficient_producers,sk0_2,sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f46,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| greater_or_equal(sk0_3(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f47,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| ~ outcompetes(efficient_producers,first_movers,sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f48,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)],[f28]) ).
fof(f49,plain,
! [T] :
( pd0_1(T)
=> ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero ) ),
introduced(predicate_definition,[f48]) ).
fof(f50,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)],[f48,f49]) ).
fof(f51,plain,
! [X0] :
( ~ pd0_0(X0)
| pd0_1(X0)
| greater(growth_rate(first_movers,X0),zero) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ pd0_0(X0)
| pd0_1(X0)
| greater(zero,growth_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f53,plain,
! [T] :
( ~ pd0_1(T)
| ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero ) ),
inference(pre_NNF_transformation,[status(esa)],[f49]) ).
fof(f54,plain,
! [X0] :
( ~ pd0_1(X0)
| growth_rate(first_movers,X0) = zero ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ pd0_1(X0)
| growth_rate(efficient_producers,X0) = zero ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f57,plain,
( spl0_0
<=> environment(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( ~ environment(sk0_2)
| spl0_0 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( spl0_1
<=> in_environment(sk0_2,sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( in_environment(sk0_2,sk0_0(sk0_2))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( ~ environment(sk0_2)
| in_environment(sk0_2,sk0_0(sk0_2)) ),
inference(resolution,[status(thm)],[f35,f44]) ).
fof(f64,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f63,f57,f60]) ).
fof(f65,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f43]) ).
fof(f66,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
( subpopulations(first_movers,efficient_producers,sk0_2,sk0_3(sk0_0(sk0_2)))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f61,f45]) ).
fof(f68,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f61,f46]) ).
fof(f69,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| greater(X0,sk0_0(sk0_2))
| X0 = sk0_0(sk0_2)
| greater(sk0_0(sk0_2),X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f61,f15]) ).
fof(f79,plain,
( spl0_4
<=> greater(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( greater(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( spl0_5
<=> sk0_3(sk0_0(sk0_2)) = sk0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( sk0_3(sk0_0(sk0_2)) = sk0_0(sk0_2)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,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)],[f68,f18]) ).
fof(f86,plain,
( spl0_4
| spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f85,f79,f82,f60]) ).
fof(f87,plain,
! [X0] :
( ~ greater(sk0_0(sk0_2),X0)
| greater(sk0_3(sk0_0(sk0_2)),X0)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f80,f12]) ).
fof(f89,plain,
( spl0_6
<=> greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f91,plain,
( ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| spl0_6 ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( spl0_7
<=> pd0_0(sk0_3(sk0_0(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f93,plain,
( pd0_0(sk0_3(sk0_0(sk0_2)))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( spl0_8
<=> greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f97,plain,
( ~ greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| spl0_8 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,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)],[f67,f32]) ).
fof(f99,plain,
( ~ spl0_0
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f98,f57,f89,f92,f95,f60]) ).
fof(f100,plain,
( spl0_9
<=> greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f101,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,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)],[f67,f31]) ).
fof(f104,plain,
( ~ spl0_0
| ~ spl0_6
| spl0_7
| spl0_9
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f103,f57,f89,f92,f100,f60]) ).
fof(f105,plain,
( spl0_10
<=> greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f106,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( spl0_11
<=> outcompetes(efficient_producers,first_movers,sk0_3(sk0_0(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f109,plain,
( outcompetes(efficient_producers,first_movers,sk0_3(sk0_0(sk0_2)))
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( ~ environment(sk0_2)
| ~ greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| outcompetes(efficient_producers,first_movers,sk0_3(sk0_0(sk0_2)))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f67,f24]) ).
fof(f112,plain,
( ~ spl0_0
| ~ spl0_10
| ~ spl0_8
| spl0_11
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f111,f57,f105,f95,f108,f60]) ).
fof(f117,plain,
( spl0_12
<=> in_environment(sk0_2,sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f118,plain,
( in_environment(sk0_2,sk0_1(sk0_2))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ environment(sk0_2)
| in_environment(sk0_2,sk0_1(sk0_2)) ),
inference(resolution,[status(thm)],[f39,f44]) ).
fof(f121,plain,
( ~ spl0_0
| spl0_12 ),
inference(split_clause,[status(thm)],[f120,f57,f117]) ).
fof(f122,plain,
( spl0_13
<=> greater(sk0_1(sk0_2),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f123,plain,
( greater(sk0_1(sk0_2),sk0_0(sk0_2))
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( spl0_14
<=> sk0_1(sk0_2) = sk0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f126,plain,
( sk0_1(sk0_2) = sk0_0(sk0_2)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( spl0_15
<=> greater(sk0_0(sk0_2),sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f129,plain,
( greater(sk0_0(sk0_2),sk0_1(sk0_2))
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( greater(sk0_1(sk0_2),sk0_0(sk0_2))
| sk0_1(sk0_2) = sk0_0(sk0_2)
| greater(sk0_0(sk0_2),sk0_1(sk0_2))
| ~ spl0_12
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f118,f69]) ).
fof(f132,plain,
( spl0_13
| spl0_14
| spl0_15
| ~ spl0_12
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f131,f122,f125,f128,f117,f60]) ).
fof(f133,plain,
( subpopulations(first_movers,efficient_producers,sk0_2,sk0_3(sk0_1(sk0_2)))
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f118,f45]) ).
fof(f134,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f118,f46]) ).
fof(f135,plain,
! [X0] :
( ~ in_environment(sk0_2,X0)
| greater(X0,sk0_1(sk0_2))
| X0 = sk0_1(sk0_2)
| greater(sk0_1(sk0_2),X0)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f118,f15]) ).
fof(f136,plain,
( greater(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| ~ spl0_15
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f129,f87]) ).
fof(f137,plain,
! [X0] :
( ~ greater(sk0_1(sk0_2),X0)
| greater(sk0_0(sk0_2),X0)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f129,f12]) ).
fof(f140,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| ~ spl0_15
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f136,f19]) ).
fof(f141,plain,
( spl0_16
<=> greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f142,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( ~ greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| spl0_16 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( spl0_17
<=> pd0_0(sk0_3(sk0_1(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f145,plain,
( pd0_0(sk0_3(sk0_1(sk0_2)))
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( spl0_18
<=> 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_18 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,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_12 ),
inference(resolution,[status(thm)],[f133,f32]) ).
fof(f151,plain,
( ~ spl0_0
| ~ spl0_16
| spl0_17
| spl0_18
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f150,f57,f141,f144,f147,f117]) ).
fof(f152,plain,
( spl0_19
<=> greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,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_12 ),
inference(resolution,[status(thm)],[f133,f31]) ).
fof(f156,plain,
( ~ spl0_0
| ~ spl0_16
| spl0_17
| spl0_19
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f155,f57,f141,f144,f152,f117]) ).
fof(f157,plain,
( spl0_20
<=> greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f158,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( spl0_21
<=> outcompetes(efficient_producers,first_movers,sk0_3(sk0_1(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f161,plain,
( outcompetes(efficient_producers,first_movers,sk0_3(sk0_1(sk0_2)))
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( ~ environment(sk0_2)
| ~ greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| outcompetes(efficient_producers,first_movers,sk0_3(sk0_1(sk0_2)))
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f133,f24]) ).
fof(f164,plain,
( ~ spl0_0
| ~ spl0_20
| ~ spl0_18
| spl0_21
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f163,f57,f157,f147,f160,f117]) ).
fof(f169,plain,
( spl0_22
<=> greater(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f170,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( ~ greater(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| spl0_22 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( spl0_23
<=> sk0_3(sk0_1(sk0_2)) = sk0_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f173,plain,
( sk0_3(sk0_1(sk0_2)) = sk0_1(sk0_2)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_1(sk0_2))
| sk0_3(sk0_1(sk0_2)) = sk0_1(sk0_2)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f134,f18]) ).
fof(f176,plain,
( spl0_22
| spl0_23
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f175,f169,f172,f117]) ).
fof(f177,plain,
( spl0_24
<=> greater(sk0_1(sk0_2),sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( greater(sk0_1(sk0_2),sk0_1(sk0_2))
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( spl0_25
<=> sk0_1(sk0_2) = sk0_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f183,plain,
( greater(sk0_1(sk0_2),sk0_1(sk0_2))
| sk0_1(sk0_2) = sk0_1(sk0_2)
| greater(sk0_1(sk0_2),sk0_1(sk0_2))
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f135,f118]) ).
fof(f184,plain,
( spl0_24
| spl0_25
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f183,f177,f180,f117]) ).
fof(f190,plain,
( spl0_26
<=> outcompetes(efficient_producers,first_movers,sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( ~ in_environment(sk0_2,sk0_1(sk0_2))
| ~ outcompetes(efficient_producers,first_movers,sk0_1(sk0_2))
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f173,f47]) ).
fof(f194,plain,
( ~ spl0_12
| ~ spl0_26
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f193,f117,f190,f172]) ).
fof(f196,plain,
! [X0] :
( ~ greater(sk0_1(sk0_2),X0)
| greater(sk0_3(sk0_1(sk0_2)),X0)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f170,f12]) ).
fof(f202,plain,
( spl0_27
<=> greater(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( greater(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( ~ greater(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| spl0_27 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( spl0_28
<=> sk0_3(sk0_0(sk0_2)) = sk0_1(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f206,plain,
( sk0_3(sk0_0(sk0_2)) = sk0_1(sk0_2)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( greater(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| sk0_3(sk0_0(sk0_2)) = sk0_1(sk0_2)
| ~ spl0_15
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f140,f18]) ).
fof(f209,plain,
( spl0_27
| spl0_28
| ~ spl0_15
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f208,f202,f205,f128,f79]) ).
fof(f218,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| ~ spl0_12
| ~ spl0_14 ),
inference(paramodulation,[status(thm)],[f126,f134]) ).
fof(f223,plain,
( ~ greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| spl0_6
| ~ spl0_5 ),
inference(paramodulation,[status(thm)],[f83,f91]) ).
fof(f227,plain,
( spl0_29
<=> outcompetes(efficient_producers,first_movers,sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( ~ in_environment(sk0_2,sk0_0(sk0_2))
| ~ outcompetes(efficient_producers,first_movers,sk0_0(sk0_2))
| ~ spl0_5 ),
inference(paramodulation,[status(thm)],[f83,f47]) ).
fof(f231,plain,
( ~ spl0_1
| ~ spl0_29
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f230,f60,f227,f82]) ).
fof(f236,plain,
( ~ greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2))
| spl0_6
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f206,f91]) ).
fof(f239,plain,
( ~ in_environment(sk0_2,sk0_0(sk0_2))
| ~ outcompetes(efficient_producers,first_movers,sk0_1(sk0_2))
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f206,f47]) ).
fof(f240,plain,
( ~ spl0_1
| ~ spl0_26
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f239,f60,f190,f205]) ).
fof(f246,plain,
! [X0] :
( ~ greater(sk0_1(sk0_2),X0)
| greater(sk0_3(sk0_0(sk0_2)),X0)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f203,f12]) ).
fof(f247,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_1(sk0_2))
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f203,f19]) ).
fof(f250,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f153,f19]) ).
fof(f268,plain,
( spl0_30
<=> greater(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f269,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( ~ greater(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| spl0_30 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( spl0_31
<=> sk0_3(sk0_1(sk0_2)) = sk0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f272,plain,
( sk0_3(sk0_1(sk0_2)) = sk0_0(sk0_2)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| sk0_3(sk0_1(sk0_2)) = sk0_0(sk0_2)
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f218,f18]) ).
fof(f275,plain,
( spl0_30
| spl0_31
| ~ spl0_12
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f274,f268,f271,f117,f125]) ).
fof(f276,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f272,f20]) ).
fof(f282,plain,
( greater(sk0_0(sk0_2),sk0_1(sk0_2))
| ~ spl0_22
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f272,f170]) ).
fof(f286,plain,
( ~ in_environment(sk0_2,sk0_1(sk0_2))
| ~ outcompetes(efficient_producers,first_movers,sk0_0(sk0_2))
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f272,f47]) ).
fof(f287,plain,
( ~ spl0_12
| ~ spl0_29
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f286,f117,f227,f271]) ).
fof(f288,plain,
( greater(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| ~ spl0_13
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f123,f196]) ).
fof(f292,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f269,f19]) ).
fof(f301,plain,
( spl0_32
<=> growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))) = zero ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( spl0_33
<=> greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f307,plain,
( greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2))
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( ~ environment(sk0_2)
| greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2)) ),
inference(resolution,[status(thm)],[f40,f44]) ).
fof(f310,plain,
( ~ spl0_0
| spl0_33 ),
inference(split_clause,[status(thm)],[f309,f57,f306]) ).
fof(f311,plain,
( spl0_34
<=> greater(sk0_1(sk0_2),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( greater(sk0_1(sk0_2),equilibrium(sk0_2))
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( spl0_35
<=> sk0_1(sk0_2) = equilibrium(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( sk0_1(sk0_2) = equilibrium(sk0_2)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( greater(sk0_1(sk0_2),equilibrium(sk0_2))
| sk0_1(sk0_2) = equilibrium(sk0_2)
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f307,f18]) ).
fof(f318,plain,
( spl0_34
| spl0_35
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f317,f311,f314,f306]) ).
fof(f323,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_27
| ~ spl0_35 ),
inference(paramodulation,[status(thm)],[f315,f247]) ).
fof(f324,plain,
( $false
| spl0_6
| ~ spl0_27
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f323,f91]) ).
fof(f325,plain,
( spl0_6
| ~ spl0_27
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( $false
| ~ spl0_33
| spl0_6
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f307]) ).
fof(f327,plain,
( ~ spl0_33
| spl0_6
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f331,plain,
( greater(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_34
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f312,f246]) ).
fof(f332,plain,
( greater(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_34
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f312,f196]) ).
fof(f332_001,plain,
( greater(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_34
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f312,f196]) ).
fof(f336,plain,
( spl0_36
<=> greater(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( greater(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f361,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f101,f19]) ).
fof(f363,plain,
( spl0_39
<=> growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))) = zero ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))) = zero
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f369,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_34
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f332,f19]) ).
fof(f370,plain,
( $false
| spl0_16
| ~ spl0_34
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f369,f143]) ).
fof(f371,plain,
( spl0_16
| ~ spl0_34
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( spl0_40
<=> greater(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( greater(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_41
<=> sk0_3(sk0_1(sk0_2)) = equilibrium(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( sk0_3(sk0_1(sk0_2)) = equilibrium(sk0_2)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( greater(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| sk0_3(sk0_1(sk0_2)) = equilibrium(sk0_2)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f142,f18]) ).
fof(f379,plain,
( spl0_40
| spl0_41
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f378,f372,f375,f141]) ).
fof(f394,plain,
( spl0_42
<=> pd0_1(sk0_3(sk0_1(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f395,plain,
( pd0_1(sk0_3(sk0_1(sk0_2)))
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( spl0_43
<=> greater(growth_rate(first_movers,sk0_3(sk0_1(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( greater(growth_rate(first_movers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( pd0_1(sk0_3(sk0_1(sk0_2)))
| greater(growth_rate(first_movers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f51,f145]) ).
fof(f401,plain,
( spl0_42
| spl0_43
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f400,f394,f397,f144]) ).
fof(f402,plain,
( spl0_44
<=> pd0_1(sk0_3(sk0_0(sk0_2))) ),
introduced(split_symbol_definition) ).
fof(f403,plain,
( pd0_1(sk0_3(sk0_0(sk0_2)))
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( spl0_45
<=> greater(growth_rate(first_movers,sk0_3(sk0_0(sk0_2))),zero) ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( greater(growth_rate(first_movers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( pd0_1(sk0_3(sk0_0(sk0_2)))
| greater(growth_rate(first_movers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f51,f93]) ).
fof(f409,plain,
( spl0_44
| spl0_45
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f408,f402,f405,f92]) ).
fof(f410,plain,
( growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))) = zero
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f395,f55]) ).
fof(f411,plain,
( growth_rate(first_movers,sk0_3(sk0_1(sk0_2))) = zero
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f395,f54]) ).
fof(f412,plain,
( growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))) = zero
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f403,f55]) ).
fof(f413,plain,
( growth_rate(first_movers,sk0_3(sk0_0(sk0_2))) = zero
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f403,f54]) ).
fof(f416,plain,
( greater(zero,zero)
| ~ spl0_19
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f410,f153]) ).
fof(f422,plain,
( ~ greater(zero,zero)
| spl0_18
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f411,f149]) ).
fof(f423,plain,
( $false
| ~ spl0_19
| spl0_18
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f416]) ).
fof(f424,plain,
( ~ spl0_19
| spl0_18
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( ~ in_environment(sk0_2,sk0_1(sk0_2))
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f161,f47]) ).
fof(f426,plain,
( $false
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f118]) ).
fof(f427,plain,
( ~ spl0_12
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f426]) ).
fof(f430,plain,
( greater(zero,zero)
| ~ spl0_9
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f412,f101]) ).
fof(f435,plain,
( ~ greater(zero,zero)
| spl0_8
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f413,f97]) ).
fof(f436,plain,
( $false
| ~ spl0_9
| spl0_8
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f430]) ).
fof(f437,plain,
( ~ spl0_9
| spl0_8
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( ~ in_environment(sk0_2,sk0_0(sk0_2))
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f109,f47]) ).
fof(f439,plain,
( $false
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f61]) ).
fof(f440,plain,
( ~ spl0_1
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f463,plain,
( spl0_48
<=> greater(zero,growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( greater(zero,growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( pd0_1(sk0_3(sk0_1(sk0_2)))
| greater(zero,growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f52,f145]) ).
fof(f467,plain,
( spl0_42
| spl0_48
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f466,f394,f463,f144]) ).
fof(f468,plain,
( spl0_49
<=> greater(zero,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2)))) ),
introduced(split_symbol_definition) ).
fof(f469,plain,
( greater(zero,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( pd0_1(sk0_3(sk0_0(sk0_2)))
| greater(zero,growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f52,f93]) ).
fof(f472,plain,
( spl0_44
| spl0_49
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f471,f402,f468,f92]) ).
fof(f473,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f410,f20]) ).
fof(f474,plain,
( spl0_20
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f473,f157,f394]) ).
fof(f475,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f412,f20]) ).
fof(f476,plain,
( spl0_10
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f475,f105,f402]) ).
fof(f477,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),X0)
| greater(zero,X0)
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f469,f12]) ).
fof(f479,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),X0)
| greater(zero,X0)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f464,f12]) ).
fof(f532,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f337,f19]) ).
fof(f533,plain,
( spl0_6
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f532,f89,f336]) ).
fof(f538,plain,
( spl0_52
<=> stable(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f540,plain,
( ~ stable(sk0_2)
| spl0_52 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( spl0_53
<=> greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( ~ greater_or_equal(sk0_3(sk0_1(sk0_2)),sk0_0(sk0_2))
| spl0_53 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_54
<=> 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(f545,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,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_12 ),
inference(resolution,[status(thm)],[f36,f133]) ).
fof(f548,plain,
( ~ spl0_0
| ~ spl0_52
| ~ spl0_53
| spl0_54
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f547,f57,f538,f541,f544,f117]) ).
fof(f549,plain,
( spl0_55
<=> greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( ~ greater_or_equal(sk0_3(sk0_0(sk0_2)),sk0_0(sk0_2))
| spl0_55 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( spl0_56
<=> 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(f553,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,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)],[f36,f67]) ).
fof(f556,plain,
( ~ spl0_0
| ~ spl0_52
| ~ spl0_55
| spl0_56
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f555,f57,f538,f549,f552,f60]) ).
fof(f557,plain,
( $false
| ~ spl0_1
| spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f68]) ).
fof(f558,plain,
( ~ spl0_1
| spl0_55 ),
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f559,plain,
( $false
| ~ spl0_30
| spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f292]) ).
fof(f560,plain,
( ~ spl0_30
| spl0_53 ),
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f561,plain,
( $false
| spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f44]) ).
fof(f562,plain,
spl0_52,
inference(contradiction_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( spl0_30
| ~ spl0_13
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f288,f268,f122,f169]) ).
fof(f564,plain,
( spl0_15
| ~ spl0_22
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f282,f128,f169,f271]) ).
fof(f565,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_56
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f553,f477]) ).
fof(f566,plain,
( spl0_8
| ~ spl0_56
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f565,f95,f552,f468]) ).
fof(f567,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,sk0_3(sk0_0(sk0_2))),X0)
| greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),X0)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f553,f12]) ).
fof(f569,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,sk0_3(sk0_1(sk0_2))),X0)
| greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),X0)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f545,f12]) ).
fof(f585,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_56
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f567,f406]) ).
fof(f596,plain,
( greater(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_15
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f137,f312]) ).
fof(f603,plain,
( greater(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_15
| ~ spl0_34
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f596,f87]) ).
fof(f605,plain,
( greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_15
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f596,f19]) ).
fof(f606,plain,
( spl0_58
<=> greater(sk0_0(sk0_2),equilibrium(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( greater(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( spl0_59
<=> sk0_0(sk0_2) = equilibrium(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f610,plain,
( sk0_0(sk0_2) = equilibrium(sk0_2)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( greater(sk0_0(sk0_2),equilibrium(sk0_2))
| sk0_0(sk0_2) = equilibrium(sk0_2)
| ~ spl0_15
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f605,f18]) ).
fof(f613,plain,
( spl0_58
| spl0_59
| ~ spl0_15
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f612,f606,f609,f128,f311]) ).
fof(f618,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_1(sk0_2))),zero)
| ~ spl0_54
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f569,f398]) ).
fof(f624,plain,
( greater_or_equal(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| ~ spl0_56
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f585,f19]) ).
fof(f625,plain,
( spl0_10
| ~ spl0_56
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f624,f105,f552,f405]) ).
fof(f626,plain,
( spl0_53
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f276,f541,f271]) ).
fof(f652,plain,
( ~ greater(sk0_1(sk0_2),sk0_1(sk0_2))
| spl0_22
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f173,f171]) ).
fof(f653,plain,
( $false
| ~ spl0_24
| spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f652,f178]) ).
fof(f654,plain,
( ~ spl0_24
| spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f653]) ).
fof(f655,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_54
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f545,f479]) ).
fof(f656,plain,
( spl0_18
| ~ spl0_54
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f655,f147,f544,f463]) ).
fof(f657,plain,
( greater(growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))),zero)
| growth_rate(efficient_producers,sk0_3(sk0_0(sk0_2))) = zero
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f106,f18]) ).
fof(f658,plain,
( spl0_9
| spl0_39
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f657,f100,f363,f105]) ).
fof(f676,plain,
( greater_or_equal(sk0_3(sk0_0(sk0_2)),equilibrium(sk0_2))
| ~ spl0_1
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f610,f68]) ).
fof(f677,plain,
( spl0_6
| ~ spl0_1
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f676,f89,f60,f609]) ).
fof(f694,plain,
( ~ greater(sk0_0(sk0_2),sk0_1(sk0_2))
| spl0_27
| ~ spl0_5 ),
inference(paramodulation,[status(thm)],[f83,f204]) ).
fof(f706,plain,
( ~ greater_or_equal(sk0_1(sk0_2),equilibrium(sk0_2))
| spl0_16
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f173,f143]) ).
fof(f707,plain,
( $false
| ~ spl0_33
| spl0_16
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f706,f307]) ).
fof(f708,plain,
( ~ spl0_33
| spl0_16
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( spl0_20
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f250,f157,f152]) ).
fof(f743,plain,
( greater_or_equal(sk0_0(sk0_2),equilibrium(sk0_2))
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f607,f19]) ).
fof(f748,plain,
( $false
| spl0_6
| ~ spl0_5
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f223]) ).
fof(f749,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( spl0_10
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f361,f105,f100]) ).
fof(f751,plain,
( spl0_36
| ~ spl0_15
| ~ spl0_34
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f603,f336,f128,f311,f79]) ).
fof(f753,plain,
( spl0_36
| ~ spl0_34
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f331,f336,f311,f202]) ).
fof(f785,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_20 ),
inference(resolution,[status(thm)],[f158,f18]) ).
fof(f786,plain,
( spl0_19
| spl0_32
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f785,f152,f301,f157]) ).
fof(f792,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_1(sk0_2))))
| ~ spl0_54
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f410,f545]) ).
fof(f793,plain,
( spl0_18
| ~ spl0_54
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f792,f147,f544,f394]) ).
fof(f830,plain,
( ~ greater(sk0_1(sk0_2),sk0_0(sk0_2))
| spl0_30
| ~ spl0_23 ),
inference(paramodulation,[status(thm)],[f173,f270]) ).
fof(f831,plain,
( ~ greater(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| spl0_30
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f610,f270]) ).
fof(f832,plain,
( $false
| ~ spl0_40
| spl0_30
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f831,f373]) ).
fof(f833,plain,
( ~ spl0_40
| spl0_30
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f852,plain,
( spl0_40
| ~ spl0_34
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f332,f372,f311,f169]) ).
fof(f868,plain,
( equilibrium(sk0_2) = sk0_1(sk0_2)
| ~ spl0_23
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f376,f173]) ).
fof(f881,plain,
( ~ greater(sk0_1(sk0_2),equilibrium(sk0_2))
| spl0_22
| ~ spl0_23
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f868,f652]) ).
fof(f882,plain,
( $false
| ~ spl0_34
| spl0_22
| ~ spl0_23
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f312]) ).
fof(f883,plain,
( ~ spl0_34
| spl0_22
| ~ spl0_23
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f932,plain,
( greater(zero,growth_rate(first_movers,sk0_3(sk0_0(sk0_2))))
| ~ spl0_56
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f364,f553]) ).
fof(f933,plain,
( spl0_8
| ~ spl0_56
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f932,f95,f552,f363]) ).
fof(f934,plain,
( ~ spl0_13
| spl0_30
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f830,f122,f268,f172]) ).
fof(f938,plain,
( spl0_19
| ~ spl0_54
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f618,f152,f544,f397]) ).
fof(f944,plain,
( ~ spl0_15
| spl0_27
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f694,f128,f202,f82]) ).
fof(f955,plain,
( greater_or_equal(sk0_3(sk0_1(sk0_2)),equilibrium(sk0_2))
| ~ spl0_12
| ~ spl0_35 ),
inference(paramodulation,[status(thm)],[f315,f134]) ).
fof(f956,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f955,f141,f117,f314]) ).
fof(f959,plain,
$false,
inference(sat_refutation,[status(thm)],[f64,f66,f86,f99,f104,f112,f121,f132,f151,f156,f164,f176,f184,f194,f209,f231,f240,f275,f287,f310,f318,f325,f327,f371,f379,f401,f409,f424,f427,f437,f440,f467,f472,f474,f476,f533,f548,f556,f558,f560,f562,f563,f564,f566,f613,f625,f626,f654,f656,f658,f677,f708,f709,f749,f750,f751,f753,f786,f793,f833,f852,f883,f933,f934,f938,f944,f956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT035+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:39:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.53 % Elapsed time: 0.178927 seconds
% 0.20/0.53 % CPU time: 1.326849 seconds
% 0.20/0.53 % Total memory used: 66.433 MB
% 0.20/0.53 % Net memory used: 65.438 MB
%------------------------------------------------------------------------------