%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:02:05 PM UTC 2026
% Result : Theorem 5.79s 1.78s
% Output : Refutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 45
% Syntax : Number of formulae : 537 ( 28 unt; 38 def)
% Number of atoms : 2040 ( 163 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 2485 ( 982 ~;1408 |; 48 &)
% ( 37 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 37 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn 140 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( in_environment(X0,X1)
& in_environment(X0,X2) )
=> ( greater(X2,X1)
| X2 = X1
| greater(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment) ).
fof(f3,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f4,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
=> ( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6) ).
fof(f5,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f6,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& greater_or_equal(X1,equilibrium(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f7,conjecture,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| X2 = X1
| greater(X1,X2)
| ~ in_environment(X0,X1)
| ~ in_environment(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| X2 = X1
| greater(X1,X2)
| ~ in_environment(X0,X1)
| ~ in_environment(X0,X2) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ( ~ greater(growth_rate(efficient_producers,X2),zero)
| ~ greater(zero,growth_rate(first_movers,X2)) )
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) )
& environment(X0)
& stable(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
? [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ( ~ greater(growth_rate(efficient_producers,X2),zero)
| ~ greater(zero,growth_rate(first_movers,X2)) )
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) )
& environment(X0)
& stable(X0) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) )
& ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) )
& ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ( in_environment(X0,sK0(X0))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK0(X0)) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f16]) ).
fof(f24,plain,
! [X0] :
( ( in_environment(X0,sK1(X0))
& greater_or_equal(sK1(X0),equilibrium(X0)) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f18]) ).
fof(f25,plain,
( ! [X1] :
( ~ in_environment(sK2,X1)
| ( ( ~ greater(growth_rate(efficient_producers,sK3(X1)),zero)
| ~ greater(zero,growth_rate(first_movers,sK3(X1))) )
& subpopulations(first_movers,efficient_producers,sK2,sK3(X1))
& greater_or_equal(sK3(X1),X1) ) )
& environment(sK2)
& stable(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X2,sK3(X1))],[f20]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ in_environment(X0,X2)
| X1 = X2
| greater(X1,X2)
| ~ in_environment(X0,X1)
| greater(X2,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f30,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f31,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK0(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0] :
( in_environment(X0,sK0(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X0] :
( greater_or_equal(sK1(X0),equilibrium(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f42,plain,
! [X0] :
( in_environment(X0,sK1(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f43,plain,
stable(sK2),
inference(cnf_transformation,[],[f25]) ).
fof(f44,plain,
environment(sK2),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X1] :
( greater_or_equal(sK3(X1),X1)
| ~ in_environment(sK2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sK2,sK3(X1))
| ~ in_environment(sK2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X1] :
( ~ in_environment(sK2,X1)
| ~ greater(growth_rate(efficient_producers,sK3(X1)),zero)
| ~ greater(zero,growth_rate(first_movers,sK3(X1))) ),
inference(cnf_transformation,[],[f25]) ).
fof(f49,definition,
! [X1] : sF4(X1) = growth_rate(efficient_producers,sK3(X1)),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f50,plain,
! [X1] : growth_rate(efficient_producers,sK3(X1)) = sF4(X1),
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
! [X1] : sF5(X1) = growth_rate(first_movers,sK3(X1)),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f52,plain,
! [X1] : growth_rate(first_movers,sK3(X1)) = sF5(X1),
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
! [X1] :
( ~ greater(sF4(X1),zero)
| ~ in_environment(sK2,X1)
| ~ greater(zero,sF5(X1)) ),
inference(definition_folding,[],[f47,f52,f50]) ).
fof(f56,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater(zero,growth_rate(efficient_producers,sK3(X0)))
| greater(zero,growth_rate(first_movers,sK3(X0)))
| ~ environment(sK2)
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2)) ),
inference(resolution,[],[f46,f35]) ).
fof(f57,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater(growth_rate(efficient_producers,sK3(X0)),growth_rate(first_movers,sK3(X0)))
| ~ greater_or_equal(sK3(X0),sK0(sK2))
| ~ environment(sK2)
| ~ stable(sK2) ),
inference(resolution,[],[f46,f39]) ).
fof(f58,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater(growth_rate(efficient_producers,sK3(X0)),growth_rate(first_movers,sK3(X0)))
| ~ greater_or_equal(sK3(X0),sK0(sK2))
| ~ stable(sK2) ),
inference(forward_subsumption_resolution,[],[f57,f44]) ).
fof(f59,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater(zero,growth_rate(efficient_producers,sK3(X0)))
| greater(zero,growth_rate(first_movers,sK3(X0)))
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2)) ),
inference(forward_subsumption_resolution,[],[f56,f44]) ).
fof(f62,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater(growth_rate(efficient_producers,sK3(X0)),growth_rate(first_movers,sK3(X0)))
| ~ greater_or_equal(sK3(X0),sK0(sK2)) ),
inference(forward_subsumption_resolution,[],[f58,f43]) ).
fof(f63,plain,
! [X0] :
( greater(zero,sF4(X0))
| ~ in_environment(sK2,X0)
| greater(zero,growth_rate(first_movers,sK3(X0)))
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2)) ),
inference(forward_demodulation,[],[f59,f50]) ).
fof(f66,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sK3(X0)),sF5(X0))
| ~ in_environment(sK2,X0)
| ~ greater_or_equal(sK3(X0),sK0(sK2)) ),
inference(forward_demodulation,[],[f62,f52]) ).
fof(f67,plain,
! [X0] :
( greater(zero,sF5(X0))
| greater(zero,sF4(X0))
| ~ in_environment(sK2,X0)
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2)) ),
inference(forward_demodulation,[],[f63,f52]) ).
fof(f70,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),sK0(sK2))
| ~ in_environment(sK2,X0)
| greater(sF4(X0),sF5(X0)) ),
inference(forward_demodulation,[],[f66,f50]) ).
fof(f71,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(zero,sF5(X0))
| greater(zero,sF4(X0))
| ~ in_environment(sK2,X0)
| zero = sF5(X0) ),
inference(forward_demodulation,[],[f67,f52]) ).
fof(f74,plain,
( ~ in_environment(sK2,sK0(sK2))
| greater(sF4(sK0(sK2)),sF5(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2)) ),
inference(resolution,[],[f70,f45]) ).
fof(f75,plain,
( ~ in_environment(sK2,sK0(sK2))
| greater(sF4(sK0(sK2)),sF5(sK0(sK2))) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f77,definition,
( spl6_1
<=> greater(sF4(sK0(sK2)),sF5(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f79,plain,
( greater(sF4(sK0(sK2)),sF5(sK0(sK2)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl6_2
<=> in_environment(sK2,sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f82,plain,
( in_environment(sK2,sK0(sK2))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( ~ in_environment(sK2,sK0(sK2))
| spl6_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f75,f81,f77]) ).
fof(f85,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl6_2 ),
inference(resolution,[],[f83,f40]) ).
fof(f86,plain,
( ~ stable(sK2)
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f85,f44]) ).
fof(f87,plain,
( $false
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f86,f43]) ).
fof(f88,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f87]) ).
fof(f92,definition,
( spl6_3
<=> zero = sF5(equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f94,plain,
( zero = sF5(equilibrium(sK2))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl6_4
<=> in_environment(sK2,equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f97,plain,
( in_environment(sK2,equilibrium(sK2))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| spl6_4 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl6_5
<=> greater(zero,sF4(equilibrium(sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f101,plain,
( ~ greater(zero,sF4(equilibrium(sK2)))
| spl6_5 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( greater(zero,sF4(equilibrium(sK2)))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl6_6
<=> greater(zero,sF5(equilibrium(sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f105,plain,
( ~ greater(zero,sF5(equilibrium(sK2)))
| spl6_6 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f106,plain,
( greater(zero,sF5(equilibrium(sK2)))
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f108,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK3(X0)))
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| ~ environment(sK2)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f32,f46]) ).
fof(f109,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK3(X0)))
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f108,f44]) ).
fof(f110,plain,
! [X0] :
( greater(zero,sF4(X0))
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f109,f50]) ).
fof(f111,plain,
! [X0] :
( greater(sF4(X0),zero)
| greater(zero,sF4(X0))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f110,f50]) ).
fof(f112,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(sF4(X0),zero)
| greater(zero,sF4(X0))
| zero = sF4(X0)
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f111,f50]) ).
fof(f113,plain,
! [X0] :
( greater(growth_rate(first_movers,sK3(X0)),zero)
| greater(zero,growth_rate(first_movers,sK3(X0)))
| ~ environment(sK2)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f33,f46]) ).
fof(f114,plain,
! [X0] :
( greater(growth_rate(first_movers,sK3(X0)),zero)
| greater(zero,growth_rate(first_movers,sK3(X0)))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f113,f44]) ).
fof(f115,plain,
! [X0] :
( greater(sF5(X0),zero)
| greater(zero,growth_rate(first_movers,sK3(X0)))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f114,f52]) ).
fof(f116,plain,
! [X0] :
( greater(zero,sF5(X0))
| greater(sF5(X0),zero)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f115,f52]) ).
fof(f117,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(zero,sF5(X0))
| greater(sF5(X0),zero)
| zero = sF4(X0)
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f116,f50]) ).
fof(f118,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK3(X0)))
| greater(zero,growth_rate(first_movers,sK3(X0)))
| ~ environment(sK2)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f31,f46]) ).
fof(f119,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK3(X0)))
| greater(zero,growth_rate(first_movers,sK3(X0)))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f118,f44]) ).
fof(f120,plain,
! [X0] :
( greater(zero,sF4(X0))
| greater(zero,growth_rate(first_movers,sK3(X0)))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f119,f50]) ).
fof(f121,plain,
! [X0] :
( greater(zero,sF5(X0))
| greater(zero,sF4(X0))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f120,f52]) ).
fof(f122,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(zero,sF5(X0))
| greater(zero,sF4(X0))
| zero = sF4(X0)
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f121,f50]) ).
fof(f132,plain,
( greater(zero,sF5(equilibrium(sK2)))
| greater(zero,sF4(equilibrium(sK2)))
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f122,f45]) ).
fof(f133,plain,
( greater(zero,sF5(equilibrium(sK2)))
| greater(zero,sF4(equilibrium(sK2)))
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f134,plain,
! [X0] :
( greater(growth_rate(first_movers,sK3(X0)),zero)
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| ~ environment(sK2)
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f38,f46]) ).
fof(f135,plain,
! [X0] :
( greater(growth_rate(first_movers,sK3(X0)),zero)
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f134,f44]) ).
fof(f136,plain,
! [X0] :
( greater(sF5(X0),zero)
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f135,f52]) ).
fof(f137,plain,
! [X0] :
( greater(sF4(X0),zero)
| greater(sF5(X0),zero)
| zero = growth_rate(first_movers,sK3(X0))
| ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f136,f50]) ).
fof(f138,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(sF4(X0),zero)
| greater(sF5(X0),zero)
| zero = sF5(X0)
| ~ in_environment(sK2,X0) ),
inference(forward_demodulation,[],[f137,f52]) ).
fof(f140,plain,
( greater(zero,sF5(equilibrium(sK2)))
| greater(sF5(equilibrium(sK2)),zero)
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f117,f45]) ).
fof(f141,plain,
( greater(zero,sF5(equilibrium(sK2)))
| greater(sF5(equilibrium(sK2)),zero)
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f142,plain,
( greater(sF4(equilibrium(sK2)),zero)
| greater(zero,sF4(equilibrium(sK2)))
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f112,f45]) ).
fof(f143,plain,
( greater(sF4(equilibrium(sK2)),zero)
| greater(zero,sF4(equilibrium(sK2)))
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f145,plain,
! [X0] :
( greater(sK1(X0),equilibrium(X0))
| equilibrium(X0) = sK1(X0)
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[],[f28,f41]) ).
fof(f146,plain,
! [X0] :
( greater(sK3(X0),X0)
| sK3(X0) = X0
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f28,f45]) ).
fof(f150,plain,
( greater(sF4(equilibrium(sK2)),zero)
| greater(sF5(equilibrium(sK2)),zero)
| zero = sF5(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f138,f45]) ).
fof(f151,plain,
( greater(sF4(equilibrium(sK2)),zero)
| greater(sF5(equilibrium(sK2)),zero)
| zero = sF5(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f152,plain,
( ! [X0] :
( ~ greater(X0,sF4(sK0(sK2)))
| greater(X0,sF5(sK0(sK2))) )
| ~ spl6_1 ),
inference(resolution,[],[f26,f79]) ).
fof(f169,plain,
! [X0,X1] :
( ~ greater(X1,sK1(X0))
| ~ environment(X0)
| ~ stable(X0)
| equilibrium(X0) = sK1(X0)
| greater(X1,equilibrium(X0)) ),
inference(resolution,[],[f145,f26]) ).
fof(f175,plain,
( ! [X0] :
( greater(sK0(sK2),X0)
| greater(X0,sK0(sK2))
| ~ in_environment(sK2,X0)
| sK0(sK2) = X0 )
| ~ spl6_2 ),
inference(resolution,[],[f27,f82]) ).
fof(f202,plain,
( ! [X0] :
( greater_or_equal(sK0(sK2),X0)
| ~ in_environment(sK2,X0)
| sK0(sK2) = X0
| greater(X0,sK0(sK2)) )
| ~ spl6_2 ),
inference(resolution,[],[f175,f30]) ).
fof(f203,plain,
( ! [X0,X1] :
( ~ in_environment(sK2,X0)
| greater(sK0(sK2),X0)
| sK0(sK2) = X0
| ~ greater(X1,X0)
| greater(X1,sK0(sK2)) )
| ~ spl6_2 ),
inference(resolution,[],[f175,f26]) ).
fof(f241,definition,
( spl6_10
<=> sK0(sK2) = sK3(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f242,plain,
( sK0(sK2) != sK3(sK0(sK2))
| spl6_10 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( sK0(sK2) = sK3(sK0(sK2))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f253,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,sF5(sK0(sK2)))
| greater(zero,sF4(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| zero = sF5(sK0(sK2))
| ~ spl6_10 ),
inference(superposition,[],[f71,f243]) ).
fof(f258,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,sF5(sK0(sK2)))
| greater(zero,sF4(sK0(sK2)))
| zero = sF4(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_10 ),
inference(superposition,[],[f122,f243]) ).
fof(f260,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(sF4(sK0(sK2)),zero)
| greater(sF5(sK0(sK2)),zero)
| zero = sF5(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_10 ),
inference(superposition,[],[f138,f243]) ).
fof(f261,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(sF4(sK0(sK2)),zero)
| greater(sF5(sK0(sK2)),zero)
| zero = sF5(sK0(sK2))
| ~ spl6_2
| ~ spl6_10 ),
inference(forward_subsumption_resolution,[],[f260,f82]) ).
fof(f263,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,sF5(sK0(sK2)))
| zero = sF4(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_1
| ~ spl6_10 ),
inference(forward_subsumption_resolution,[],[f258,f152]) ).
fof(f268,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,sF5(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| zero = sF5(sK0(sK2))
| ~ spl6_1
| ~ spl6_10 ),
inference(forward_subsumption_resolution,[],[f253,f152]) ).
fof(f271,definition,
( spl6_12
<=> zero = sF5(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f272,plain,
( zero != sF5(sK0(sK2))
| spl6_12 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( zero = sF5(sK0(sK2))
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f275,definition,
( spl6_13
<=> greater(sF5(sK0(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f276,plain,
( ~ greater(sF5(sK0(sK2)),zero)
| spl6_13 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( greater(sF5(sK0(sK2)),zero)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f279,definition,
( spl6_14
<=> greater(sF4(sK0(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
fof(f280,plain,
( ~ greater(sF4(sK0(sK2)),zero)
| spl6_14 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f281,plain,
( greater(sF4(sK0(sK2)),zero)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl6_15
<=> greater_or_equal(sK0(sK2),equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f284,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| spl6_15 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( spl6_12
| spl6_13
| spl6_14
| ~ spl6_15
| ~ spl6_2
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f261,f241,f81,f283,f279,f275,f271]) ).
fof(f288,definition,
( spl6_16
<=> zero = sF4(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
fof(f289,plain,
( zero != sF4(sK0(sK2))
| spl6_16 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( zero = sF4(sK0(sK2))
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,sF5(sK0(sK2)))
| zero = sF4(sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| ~ spl6_10 ),
inference(forward_subsumption_resolution,[],[f263,f82]) ).
fof(f294,definition,
( spl6_17
<=> greater(zero,sF5(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
fof(f295,plain,
( ~ greater(zero,sF5(sK0(sK2)))
| spl6_17 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( greater(zero,sF5(sK0(sK2)))
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f299,definition,
( spl6_18
<=> greater(zero,sF4(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f300,plain,
( ~ greater(zero,sF4(sK0(sK2)))
| spl6_18 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( greater(zero,sF4(sK0(sK2)))
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f305,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,sF5(sK0(sK2)))
| zero = sF5(sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| ~ spl6_10 ),
inference(forward_subsumption_resolution,[],[f268,f82]) ).
fof(f306,plain,
( spl6_16
| spl6_17
| ~ spl6_15
| ~ spl6_1
| ~ spl6_2
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f292,f241,f81,f77,f283,f294,f288]) ).
fof(f307,plain,
( spl6_12
| spl6_17
| ~ spl6_15
| ~ spl6_1
| ~ spl6_2
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f305,f241,f81,f77,f283,f294,f271]) ).
fof(f350,definition,
( spl6_20
<=> sK0(sK2) = sK1(sK2) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f351,plain,
( sK0(sK2) != sK1(sK2)
| spl6_20 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( sK0(sK2) = sK1(sK2)
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl6_21
<=> greater(sK1(sK2),sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
fof(f355,plain,
( ~ greater(sK1(sK2),sK0(sK2))
| spl6_21 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( greater(sK1(sK2),sK0(sK2))
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f377,definition,
( spl6_22
<=> equilibrium(sK2) = sK1(sK2) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
fof(f378,plain,
( equilibrium(sK2) != sK1(sK2)
| spl6_22 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f379,plain,
( equilibrium(sK2) = sK1(sK2)
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f384,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ environment(sK2)
| ~ stable(sK2)
| ~ spl6_20 ),
inference(superposition,[],[f41,f352]) ).
fof(f386,plain,
( greater(sK0(sK2),equilibrium(sK2))
| equilibrium(sK2) = sK0(sK2)
| ~ environment(sK2)
| ~ stable(sK2)
| ~ spl6_20 ),
inference(superposition,[],[f145,f352]) ).
fof(f387,plain,
( ! [X0] :
( ~ greater(X0,sK0(sK2))
| ~ environment(sK2)
| ~ stable(sK2)
| equilibrium(sK2) = sK0(sK2)
| greater(X0,equilibrium(sK2)) )
| ~ spl6_20 ),
inference(superposition,[],[f169,f352]) ).
fof(f393,plain,
( ! [X0] :
( ~ greater(X0,sK0(sK2))
| ~ stable(sK2)
| equilibrium(sK2) = sK0(sK2)
| greater(X0,equilibrium(sK2)) )
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f387,f44]) ).
fof(f394,plain,
( greater(sK0(sK2),equilibrium(sK2))
| equilibrium(sK2) = sK0(sK2)
| ~ stable(sK2)
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f386,f44]) ).
fof(f395,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl6_15
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f384,f285]) ).
fof(f396,plain,
( ! [X0] :
( ~ greater(X0,sK0(sK2))
| equilibrium(sK2) = sK0(sK2)
| greater(X0,equilibrium(sK2)) )
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f393,f43]) ).
fof(f397,plain,
( greater(sK0(sK2),equilibrium(sK2))
| equilibrium(sK2) = sK0(sK2)
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f394,f43]) ).
fof(f398,plain,
( ~ stable(sK2)
| spl6_15
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f395,f44]) ).
fof(f400,definition,
( spl6_24
<=> equilibrium(sK2) = sK0(sK2) ),
introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).
fof(f401,plain,
( equilibrium(sK2) != sK0(sK2)
| spl6_24 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( equilibrium(sK2) = sK0(sK2)
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f404,definition,
( spl6_25
<=> ! [X0] :
( ~ greater(X0,sK0(sK2))
| greater(X0,equilibrium(sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl6_25])],[avatar_definition]) ).
fof(f405,plain,
( ! [X0] :
( ~ greater(X0,sK0(sK2))
| greater(X0,equilibrium(sK2)) )
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f406,plain,
( spl6_24
| spl6_25
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f396,f350,f404,f400]) ).
fof(f408,definition,
( spl6_26
<=> greater(sK0(sK2),equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_26])],[avatar_definition]) ).
fof(f409,plain,
( ~ greater(sK0(sK2),equilibrium(sK2))
| spl6_26 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,plain,
( spl6_24
| spl6_26
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f397,f350,f408,f400]) ).
fof(f412,plain,
( $false
| spl6_15
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f398,f43]) ).
fof(f413,plain,
( spl6_15
| ~ spl6_20 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f416,plain,
( ! [X0] :
( ~ greater(X0,sK1(sK2))
| greater(X0,sK0(sK2)) )
| ~ spl6_21 ),
inference(resolution,[],[f356,f26]) ).
fof(f423,plain,
( greater(sK3(sK1(sK2)),sK0(sK2))
| sK1(sK2) = sK3(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl6_21 ),
inference(resolution,[],[f416,f146]) ).
fof(f425,definition,
( spl6_27
<=> in_environment(sK2,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_27])],[avatar_definition]) ).
fof(f426,plain,
( in_environment(sK2,sK1(sK2))
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( ~ in_environment(sK2,sK1(sK2))
| spl6_27 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f429,definition,
( spl6_28
<=> sK1(sK2) = sK3(sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).
fof(f430,plain,
( sK1(sK2) != sK3(sK1(sK2))
| spl6_28 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( sK1(sK2) = sK3(sK1(sK2))
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f433,definition,
( spl6_29
<=> greater(sK3(sK1(sK2)),sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_29])],[avatar_definition]) ).
fof(f434,plain,
( ~ greater(sK3(sK1(sK2)),sK0(sK2))
| spl6_29 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f435,plain,
( greater(sK3(sK1(sK2)),sK0(sK2))
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f436,plain,
( ~ spl6_27
| spl6_28
| spl6_29
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f423,f354,f433,f429,f425]) ).
fof(f439,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl6_27 ),
inference(resolution,[],[f427,f42]) ).
fof(f440,plain,
( ~ stable(sK2)
| spl6_27 ),
inference(forward_subsumption_resolution,[],[f439,f44]) ).
fof(f441,plain,
( $false
| spl6_27 ),
inference(forward_subsumption_resolution,[],[f440,f43]) ).
fof(f442,plain,
spl6_27,
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f443,plain,
( in_environment(sK2,equilibrium(sK2))
| ~ spl6_22
| ~ spl6_27 ),
inference(forward_demodulation,[],[f426,f379]) ).
fof(f444,plain,
( $false
| spl6_4
| ~ spl6_22
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f443,f98]) ).
fof(f445,plain,
( spl6_4
| ~ spl6_22
| ~ spl6_27 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f454,plain,
( greater(sK0(sK2),sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| sK0(sK2) = sK1(sK2)
| ~ spl6_2
| spl6_21 ),
inference(resolution,[],[f355,f175]) ).
fof(f457,plain,
( greater(sK0(sK2),sK1(sK2))
| sK0(sK2) = sK1(sK2)
| ~ spl6_2
| spl6_21
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f454,f426]) ).
fof(f460,plain,
( greater(sK0(sK2),sK1(sK2))
| ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f457,f351]) ).
fof(f464,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| equilibrium(sK2) = sK1(sK2)
| greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_27 ),
inference(resolution,[],[f460,f169]) ).
fof(f467,plain,
( ~ stable(sK2)
| equilibrium(sK2) = sK1(sK2)
| greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f464,f44]) ).
fof(f469,plain,
( equilibrium(sK2) = sK1(sK2)
| greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f467,f43]) ).
fof(f471,plain,
( greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_2
| spl6_20
| spl6_21
| spl6_22
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f469,f378]) ).
fof(f472,plain,
( spl6_26
| ~ spl6_2
| spl6_20
| spl6_21
| spl6_22
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f471,f425,f377,f354,f350,f81,f408]) ).
fof(f489,plain,
( greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_1
| ~ spl6_24 ),
inference(superposition,[],[f79,f402]) ).
fof(f504,plain,
( in_environment(sK2,equilibrium(sK2))
| ~ environment(sK2)
| ~ stable(sK2)
| ~ spl6_24 ),
inference(superposition,[],[f40,f402]) ).
fof(f519,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl6_4
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f504,f98]) ).
fof(f524,plain,
( ~ stable(sK2)
| spl6_4
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f519,f44]) ).
fof(f527,plain,
( $false
| spl6_4
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f524,f43]) ).
fof(f528,plain,
( spl6_4
| ~ spl6_24 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f537,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ spl6_26 ),
inference(resolution,[],[f410,f30]) ).
fof(f553,plain,
( greater(sK3(sK0(sK2)),equilibrium(sK2))
| sK0(sK2) = sK3(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_25 ),
inference(resolution,[],[f405,f146]) ).
fof(f555,plain,
( greater(sK3(sK0(sK2)),equilibrium(sK2))
| ~ in_environment(sK2,sK0(sK2))
| spl6_10
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f553,f242]) ).
fof(f624,plain,
( ~ in_environment(sK2,sK0(sK2))
| ~ greater(zero,sF5(sK0(sK2)))
| ~ spl6_14 ),
inference(resolution,[],[f281,f53]) ).
fof(f627,plain,
( ~ greater(zero,sF5(sK0(sK2)))
| ~ spl6_2
| ~ spl6_14 ),
inference(forward_subsumption_resolution,[],[f624,f82]) ).
fof(f630,plain,
( ~ greater(zero,zero)
| ~ spl6_12
| spl6_17 ),
inference(forward_demodulation,[],[f295,f273]) ).
fof(f632,plain,
( greater(zero,sF5(sK0(sK2)))
| ~ spl6_1
| ~ spl6_16 ),
inference(superposition,[],[f79,f290]) ).
fof(f638,plain,
( greater(zero,zero)
| ~ spl6_14
| ~ spl6_16 ),
inference(superposition,[],[f281,f290]) ).
fof(f642,plain,
( $false
| ~ spl6_12
| ~ spl6_14
| ~ spl6_16
| spl6_17 ),
inference(forward_subsumption_resolution,[],[f638,f630]) ).
fof(f643,plain,
( ~ spl6_12
| ~ spl6_14
| ~ spl6_16
| spl6_17 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f651,plain,
( greater(sK3(sK0(sK2)),equilibrium(sK2))
| ~ spl6_2
| spl6_10
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f555,f82]) ).
fof(f652,plain,
( $false
| ~ spl6_1
| ~ spl6_16
| spl6_17 ),
inference(forward_subsumption_resolution,[],[f632,f295]) ).
fof(f653,plain,
( ~ spl6_1
| ~ spl6_16
| spl6_17 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f655,plain,
( greater_or_equal(sK3(sK0(sK2)),equilibrium(sK2))
| ~ spl6_2
| spl6_10
| ~ spl6_25 ),
inference(resolution,[],[f651,f30]) ).
fof(f657,plain,
( greater(zero,sF5(sK0(sK2)))
| greater(zero,sF4(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| zero = sF5(sK0(sK2))
| ~ spl6_2
| spl6_10
| ~ spl6_25 ),
inference(resolution,[],[f655,f71]) ).
fof(f662,plain,
( greater(zero,sF5(sK0(sK2)))
| greater(zero,sF4(sK0(sK2)))
| zero = sF4(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_2
| spl6_10
| ~ spl6_25 ),
inference(resolution,[],[f655,f122]) ).
fof(f664,plain,
( greater(sF4(sK0(sK2)),zero)
| greater(sF5(sK0(sK2)),zero)
| zero = sF5(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_2
| spl6_10
| ~ spl6_25 ),
inference(resolution,[],[f655,f138]) ).
fof(f666,plain,
( greater(zero,sF5(sK0(sK2)))
| zero = sF4(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| spl6_10
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f662,f152]) ).
fof(f669,plain,
( greater(zero,sF5(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| zero = sF5(sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| spl6_10
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f657,f152]) ).
fof(f670,plain,
( zero = sF4(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_17
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f666,f295]) ).
fof(f673,plain,
( ~ in_environment(sK2,sK0(sK2))
| zero = sF5(sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_17
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f669,f295]) ).
fof(f674,plain,
( ~ in_environment(sK2,sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_16
| spl6_17
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f670,f289]) ).
fof(f677,plain,
( zero = sF5(sK0(sK2))
| ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_17
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f673,f82]) ).
fof(f678,plain,
( $false
| ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_16
| spl6_17
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f674,f82]) ).
fof(f679,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_16
| spl6_17
| ~ spl6_25 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f682,plain,
( $false
| ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_12
| spl6_17
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f677,f272]) ).
fof(f683,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_12
| spl6_17
| ~ spl6_25 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f684,plain,
( greater(sF5(sK0(sK2)),zero)
| zero = sF5(sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_2
| spl6_10
| spl6_14
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f664,f280]) ).
fof(f688,plain,
( greater(sF5(sK0(sK2)),zero)
| ~ in_environment(sK2,sK0(sK2))
| ~ spl6_2
| spl6_10
| spl6_12
| spl6_14
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f684,f272]) ).
fof(f692,plain,
( greater(sF5(sK0(sK2)),zero)
| ~ spl6_2
| spl6_10
| spl6_12
| spl6_14
| ~ spl6_25 ),
inference(forward_subsumption_resolution,[],[f688,f82]) ).
fof(f696,plain,
( spl6_13
| ~ spl6_2
| spl6_10
| spl6_12
| spl6_14
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f692,f404,f279,f271,f241,f81,f275]) ).
fof(f700,plain,
( ! [X0] :
( ~ greater(X0,sF5(sK0(sK2)))
| greater(X0,zero) )
| ~ spl6_13 ),
inference(resolution,[],[f277,f26]) ).
fof(f702,plain,
( greater(zero,sF5(sK0(sK2)))
| ~ spl6_1
| ~ spl6_18 ),
inference(resolution,[],[f301,f152]) ).
fof(f722,plain,
( greater(sF4(sK0(sK2)),zero)
| ~ spl6_1
| ~ spl6_13 ),
inference(resolution,[],[f700,f79]) ).
fof(f762,plain,
( $false
| spl6_15
| ~ spl6_26 ),
inference(forward_subsumption_resolution,[],[f537,f285]) ).
fof(f763,plain,
( spl6_15
| ~ spl6_26 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f819,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| equilibrium(sK2) = sK0(sK2)
| greater(equilibrium(sK2),sK0(sK2))
| ~ spl6_2
| spl6_15 ),
inference(resolution,[],[f285,f202]) ).
fof(f825,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(zero,sF5(sK1(sK2)))
| greater(zero,sF4(sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| zero = sF5(sK1(sK2))
| ~ spl6_28 ),
inference(superposition,[],[f71,f431]) ).
fof(f830,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(zero,sF5(sK1(sK2)))
| greater(zero,sF4(sK1(sK2)))
| zero = sF4(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl6_28 ),
inference(superposition,[],[f122,f431]) ).
fof(f832,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(sF4(sK1(sK2)),zero)
| greater(sF5(sK1(sK2)),zero)
| zero = sF5(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl6_28 ),
inference(superposition,[],[f138,f431]) ).
fof(f835,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(sF4(sK1(sK2)),zero)
| greater(sF5(sK1(sK2)),zero)
| zero = sF5(sK1(sK2))
| ~ spl6_27
| ~ spl6_28 ),
inference(forward_subsumption_resolution,[],[f832,f426]) ).
fof(f837,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(zero,sF5(sK1(sK2)))
| greater(zero,sF4(sK1(sK2)))
| zero = sF4(sK1(sK2))
| ~ spl6_27
| ~ spl6_28 ),
inference(forward_subsumption_resolution,[],[f830,f426]) ).
fof(f842,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(zero,sF5(sK1(sK2)))
| greater(zero,sF4(sK1(sK2)))
| zero = sF5(sK1(sK2))
| ~ spl6_27
| ~ spl6_28 ),
inference(forward_subsumption_resolution,[],[f825,f426]) ).
fof(f846,definition,
( spl6_42
<=> zero = sF5(sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_42])],[avatar_definition]) ).
fof(f847,plain,
( zero != sF5(sK1(sK2))
| spl6_42 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f848,plain,
( zero = sF5(sK1(sK2))
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f850,definition,
( spl6_43
<=> greater(sF5(sK1(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl6_43])],[avatar_definition]) ).
fof(f851,plain,
( ~ greater(sF5(sK1(sK2)),zero)
| spl6_43 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f852,plain,
( greater(sF5(sK1(sK2)),zero)
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f854,definition,
( spl6_44
<=> greater(sF4(sK1(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl6_44])],[avatar_definition]) ).
fof(f855,plain,
( ~ greater(sF4(sK1(sK2)),zero)
| spl6_44 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f856,plain,
( greater(sF4(sK1(sK2)),zero)
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f858,definition,
( spl6_45
<=> greater_or_equal(sK1(sK2),equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_45])],[avatar_definition]) ).
fof(f859,plain,
( greater_or_equal(sK1(sK2),equilibrium(sK2))
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f860,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| spl6_45 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f861,plain,
( spl6_42
| spl6_43
| spl6_44
| ~ spl6_45
| ~ spl6_27
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f835,f429,f425,f858,f854,f850,f846]) ).
fof(f863,definition,
( spl6_46
<=> zero = sF4(sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_46])],[avatar_definition]) ).
fof(f864,plain,
( zero != sF4(sK1(sK2))
| spl6_46 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f865,plain,
( zero = sF4(sK1(sK2))
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f868,definition,
( spl6_47
<=> greater(zero,sF4(sK1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_47])],[avatar_definition]) ).
fof(f870,plain,
( greater(zero,sF4(sK1(sK2)))
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f872,definition,
( spl6_48
<=> greater(zero,sF5(sK1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl6_48])],[avatar_definition]) ).
fof(f873,plain,
( ~ greater(zero,sF5(sK1(sK2)))
| spl6_48 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f875,plain,
( spl6_46
| spl6_47
| spl6_48
| ~ spl6_45
| ~ spl6_27
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f837,f429,f425,f858,f872,f868,f863]) ).
fof(f880,plain,
( spl6_42
| spl6_47
| spl6_48
| ~ spl6_45
| ~ spl6_27
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f842,f429,f425,f858,f872,f868,f846]) ).
fof(f1015,plain,
( greater_or_equal(sK3(sK1(sK2)),sK0(sK2))
| ~ spl6_29 ),
inference(resolution,[],[f435,f30]) ).
fof(f1019,plain,
( ~ in_environment(sK2,sK1(sK2))
| greater(sF4(sK1(sK2)),sF5(sK1(sK2)))
| ~ spl6_29 ),
inference(resolution,[],[f1015,f70]) ).
fof(f1021,plain,
( greater(sF4(sK1(sK2)),sF5(sK1(sK2)))
| ~ spl6_27
| ~ spl6_29 ),
inference(forward_subsumption_resolution,[],[f1019,f426]) ).
fof(f1022,plain,
( greater(sF4(sK1(sK2)),zero)
| ~ spl6_27
| ~ spl6_29
| ~ spl6_42 ),
inference(forward_demodulation,[],[f1021,f848]) ).
fof(f1026,plain,
( greater(zero,sF5(sK1(sK2)))
| ~ spl6_27
| ~ spl6_29
| ~ spl6_46 ),
inference(forward_demodulation,[],[f1021,f865]) ).
fof(f1027,plain,
( spl6_48
| ~ spl6_27
| ~ spl6_29
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f1026,f863,f433,f425,f872]) ).
fof(f1064,plain,
( ! [X0] :
( ~ greater(X0,sF4(sK1(sK2)))
| greater(X0,sF5(sK1(sK2))) )
| ~ spl6_27
| ~ spl6_29 ),
inference(resolution,[],[f1021,f26]) ).
fof(f1066,plain,
( ~ in_environment(sK2,sK1(sK2))
| ~ greater(zero,sF5(sK1(sK2)))
| ~ spl6_44 ),
inference(resolution,[],[f856,f53]) ).
fof(f1069,plain,
( ~ greater(zero,sF5(sK1(sK2)))
| ~ spl6_27
| ~ spl6_44 ),
inference(forward_subsumption_resolution,[],[f1066,f426]) ).
fof(f1072,plain,
( ! [X0] :
( ~ greater(X0,sF5(sK1(sK2)))
| greater(X0,zero) )
| ~ spl6_43 ),
inference(resolution,[],[f852,f26]) ).
fof(f1079,plain,
( greater(zero,sF5(sK1(sK2)))
| ~ spl6_27
| ~ spl6_29
| ~ spl6_47 ),
inference(resolution,[],[f1064,f870]) ).
fof(f1103,plain,
( greater(sF4(sK1(sK2)),zero)
| ~ spl6_27
| ~ spl6_29
| ~ spl6_43 ),
inference(resolution,[],[f1072,f1021]) ).
fof(f1135,plain,
( ~ spl6_48
| ~ spl6_27
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f1069,f854,f425,f872]) ).
fof(f1140,plain,
( $false
| ~ spl6_27
| ~ spl6_29
| ~ spl6_47
| spl6_48 ),
inference(forward_subsumption_resolution,[],[f1079,f873]) ).
fof(f1141,plain,
( ~ spl6_27
| ~ spl6_29
| ~ spl6_47
| spl6_48 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1165,plain,
( greater(sF4(equilibrium(sK2)),zero)
| greater(zero,sF4(equilibrium(sK2)))
| zero = sF4(equilibrium(sK2))
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f143,f97]) ).
fof(f1167,plain,
( greater(sF4(equilibrium(sK2)),zero)
| greater(sF5(equilibrium(sK2)),zero)
| zero = sF5(equilibrium(sK2))
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f151,f97]) ).
fof(f1168,plain,
( equilibrium(sK2) = sK0(sK2)
| greater(equilibrium(sK2),sK0(sK2))
| ~ spl6_2
| ~ spl6_4
| spl6_15 ),
inference(forward_subsumption_resolution,[],[f819,f97]) ).
fof(f1178,definition,
( spl6_64
<=> greater(sF4(equilibrium(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl6_64])],[avatar_definition]) ).
fof(f1179,plain,
( ~ greater(sF4(equilibrium(sK2)),zero)
| spl6_64 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1180,plain,
( greater(sF4(equilibrium(sK2)),zero)
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1183,definition,
( spl6_65
<=> zero = sF4(equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_65])],[avatar_definition]) ).
fof(f1184,plain,
( zero != sF4(equilibrium(sK2))
| spl6_65 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1185,plain,
( zero = sF4(equilibrium(sK2))
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1186,plain,
( spl6_65
| spl6_5
| spl6_64
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1165,f96,f1178,f100,f1183]) ).
fof(f1188,definition,
( spl6_66
<=> greater(sF5(equilibrium(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl6_66])],[avatar_definition]) ).
fof(f1190,plain,
( greater(sF5(equilibrium(sK2)),zero)
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1192,plain,
( spl6_3
| spl6_66
| spl6_64
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1167,f96,f1178,f1188,f92]) ).
fof(f1193,plain,
( greater(equilibrium(sK2),sK0(sK2))
| ~ spl6_2
| ~ spl6_4
| spl6_15
| spl6_24 ),
inference(forward_subsumption_resolution,[],[f1168,f401]) ).
fof(f1202,plain,
( equilibrium(sK2) != sK3(equilibrium(sK2))
| ~ spl6_22
| spl6_28 ),
inference(forward_demodulation,[],[f430,f379]) ).
fof(f1205,plain,
( greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_22
| ~ spl6_27 ),
inference(forward_demodulation,[],[f460,f379]) ).
fof(f1210,plain,
( $false
| ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_22
| spl6_26
| ~ spl6_27 ),
inference(forward_subsumption_resolution,[],[f1205,f409]) ).
fof(f1211,plain,
( ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_22
| spl6_26
| ~ spl6_27 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1241,plain,
( ! [X0] :
( greater(sK0(sK2),equilibrium(sK2))
| equilibrium(sK2) = sK0(sK2)
| ~ greater(X0,equilibrium(sK2))
| greater(X0,sK0(sK2)) )
| ~ spl6_2
| ~ spl6_4 ),
inference(resolution,[],[f97,f203]) ).
fof(f1246,plain,
( ! [X0] :
( equilibrium(sK2) = sK0(sK2)
| ~ greater(X0,equilibrium(sK2))
| greater(X0,sK0(sK2)) )
| ~ spl6_2
| ~ spl6_4
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f1241,f409]) ).
fof(f1248,plain,
( ! [X0] :
( ~ greater(X0,equilibrium(sK2))
| greater(X0,sK0(sK2)) )
| ~ spl6_2
| ~ spl6_4
| spl6_24
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f1246,f401]) ).
fof(f1273,plain,
( ! [X0] :
( ~ greater(X0,sF5(equilibrium(sK2)))
| greater(X0,zero) )
| ~ spl6_66 ),
inference(resolution,[],[f1190,f26]) ).
fof(f1281,plain,
( greater(sK3(equilibrium(sK2)),sK0(sK2))
| equilibrium(sK2) = sK3(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ spl6_2
| ~ spl6_4
| spl6_24
| spl6_26 ),
inference(resolution,[],[f1248,f146]) ).
fof(f1398,plain,
( greater(sK3(equilibrium(sK2)),sK0(sK2))
| equilibrium(sK2) = sK3(equilibrium(sK2))
| ~ spl6_2
| ~ spl6_4
| spl6_24
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f1281,f97]) ).
fof(f1428,definition,
( spl6_73
<=> equilibrium(sK2) = sK3(equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_73])],[avatar_definition]) ).
fof(f1430,plain,
( equilibrium(sK2) = sK3(equilibrium(sK2))
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1432,definition,
( spl6_74
<=> greater(sK3(equilibrium(sK2)),sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl6_74])],[avatar_definition]) ).
fof(f1433,plain,
( ~ greater(sK3(equilibrium(sK2)),sK0(sK2))
| spl6_74 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1434,plain,
( greater(sK3(equilibrium(sK2)),sK0(sK2))
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1435,plain,
( spl6_73
| spl6_74
| ~ spl6_2
| ~ spl6_4
| spl6_24
| spl6_26 ),
inference(avatar_split_clause,[],[f1398,f408,f400,f96,f81,f1432,f1428]) ).
fof(f1483,plain,
( greater_or_equal(sK3(equilibrium(sK2)),sK0(sK2))
| ~ spl6_74 ),
inference(resolution,[],[f1434,f30]) ).
fof(f1530,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_74 ),
inference(resolution,[],[f1483,f70]) ).
fof(f1532,plain,
( greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_4
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f1530,f97]) ).
fof(f1533,plain,
( greater(sF4(equilibrium(sK2)),zero)
| ~ spl6_4
| ~ spl6_66
| ~ spl6_74 ),
inference(resolution,[],[f1532,f1273]) ).
fof(f1556,plain,
( zero != sF5(equilibrium(sK2))
| spl6_12
| ~ spl6_24 ),
inference(superposition,[],[f272,f402]) ).
fof(f1557,plain,
( ~ greater(sF5(equilibrium(sK2)),zero)
| spl6_13
| ~ spl6_24 ),
inference(superposition,[],[f276,f402]) ).
fof(f1560,plain,
( zero != sF4(equilibrium(sK2))
| spl6_16
| ~ spl6_24 ),
inference(superposition,[],[f289,f402]) ).
fof(f1562,plain,
( ~ greater(zero,sF4(equilibrium(sK2)))
| spl6_18
| ~ spl6_24 ),
inference(superposition,[],[f300,f402]) ).
fof(f1580,plain,
( $false
| ~ spl6_5
| spl6_18
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f1562,f102]) ).
fof(f1581,plain,
( ~ spl6_5
| spl6_18
| ~ spl6_24 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1611,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_74 ),
inference(resolution,[],[f1483,f70]) ).
fof(f1631,plain,
( ~ greater(sK1(sK2),sK0(sK2))
| ~ spl6_28
| spl6_29 ),
inference(superposition,[],[f434,f431]) ).
fof(f1632,plain,
( $false
| ~ spl6_21
| ~ spl6_28
| spl6_29 ),
inference(forward_subsumption_resolution,[],[f1631,f356]) ).
fof(f1633,plain,
( ~ spl6_21
| ~ spl6_28
| spl6_29 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1652,plain,
( spl6_44
| ~ spl6_27
| ~ spl6_29
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f1103,f850,f433,f425,f854]) ).
fof(f1659,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl6_45 ),
inference(resolution,[],[f860,f41]) ).
fof(f1661,plain,
( ~ stable(sK2)
| spl6_45 ),
inference(forward_subsumption_resolution,[],[f1659,f44]) ).
fof(f1662,plain,
( $false
| spl6_45 ),
inference(forward_subsumption_resolution,[],[f1661,f43]) ).
fof(f1663,plain,
spl6_45,
inference(avatar_contradiction_clause,[],[f1662]) ).
fof(f1664,plain,
( equilibrium(sK2) = sK1(sK2)
| greater(sK1(sK2),equilibrium(sK2))
| ~ spl6_45 ),
inference(resolution,[],[f859,f28]) ).
fof(f1665,plain,
( greater(sK1(sK2),equilibrium(sK2))
| spl6_22
| ~ spl6_45 ),
inference(forward_subsumption_resolution,[],[f1664,f378]) ).
fof(f1672,plain,
( ! [X0] :
( ~ greater(X0,sK1(sK2))
| greater(X0,equilibrium(sK2)) )
| spl6_22
| ~ spl6_45 ),
inference(resolution,[],[f1665,f26]) ).
fof(f1683,definition,
( spl6_77
<=> ! [X0] :
( ~ greater(X0,sF4(sK1(sK2)))
| greater(X0,sF5(sK1(sK2))) ) ),
introduced(definition,[new_symbols(definition,[spl6_77])],[avatar_definition]) ).
fof(f1684,plain,
( ! [X0] :
( ~ greater(X0,sF4(sK1(sK2)))
| greater(X0,sF5(sK1(sK2))) )
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1716,plain,
( ~ in_environment(sK2,sK1(sK2))
| greater(sF4(sK1(sK2)),sF5(sK1(sK2)))
| ~ spl6_29 ),
inference(resolution,[],[f1015,f70]) ).
fof(f1718,plain,
( greater(sF4(sK1(sK2)),sF5(sK1(sK2)))
| ~ spl6_27
| ~ spl6_29 ),
inference(forward_subsumption_resolution,[],[f1716,f426]) ).
fof(f1719,plain,
( ! [X0] :
( ~ greater(X0,sF4(sK1(sK2)))
| greater(X0,sF5(sK1(sK2))) )
| ~ spl6_27
| ~ spl6_29 ),
inference(resolution,[],[f1718,f26]) ).
fof(f1721,plain,
( spl6_77
| ~ spl6_27
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f1719,f433,f425,f1683]) ).
fof(f1742,plain,
( greater(sK3(sK1(sK2)),equilibrium(sK2))
| sK1(sK2) = sK3(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_45 ),
inference(resolution,[],[f1672,f146]) ).
fof(f1766,plain,
( greater(sK3(sK1(sK2)),equilibrium(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| spl6_28
| ~ spl6_45 ),
inference(forward_subsumption_resolution,[],[f1742,f430]) ).
fof(f1767,plain,
( greater(sK3(sK1(sK2)),equilibrium(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45 ),
inference(forward_subsumption_resolution,[],[f1766,f426]) ).
fof(f1769,plain,
( greater_or_equal(sK3(sK1(sK2)),equilibrium(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45 ),
inference(resolution,[],[f1767,f30]) ).
fof(f1770,plain,
( greater(zero,sF5(sK1(sK2)))
| greater(zero,sF4(sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| zero = sF5(sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45 ),
inference(resolution,[],[f1769,f71]) ).
fof(f1775,plain,
( greater(zero,sF5(sK1(sK2)))
| greater(zero,sF4(sK1(sK2)))
| zero = sF4(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45 ),
inference(resolution,[],[f1769,f122]) ).
fof(f1779,plain,
( greater(zero,sF5(sK1(sK2)))
| zero = sF4(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1775,f1684]) ).
fof(f1780,plain,
( greater(zero,sF5(sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| zero = sF5(sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1770,f1684]) ).
fof(f1781,plain,
( zero = sF4(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| spl6_48
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1779,f873]) ).
fof(f1782,plain,
( ~ in_environment(sK2,sK1(sK2))
| zero = sF5(sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| spl6_48
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1780,f873]) ).
fof(f1783,plain,
( ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| spl6_46
| spl6_48
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1781,f864]) ).
fof(f1784,plain,
( zero = sF5(sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| spl6_48
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1782,f426]) ).
fof(f1785,plain,
( $false
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| spl6_46
| spl6_48
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1783,f426]) ).
fof(f1786,plain,
( spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| spl6_46
| spl6_48
| ~ spl6_77 ),
inference(avatar_contradiction_clause,[],[f1785]) ).
fof(f1787,plain,
( $false
| spl6_22
| ~ spl6_27
| spl6_28
| spl6_42
| ~ spl6_45
| spl6_48
| ~ spl6_77 ),
inference(forward_subsumption_resolution,[],[f1784,f847]) ).
fof(f1788,plain,
( spl6_22
| ~ spl6_27
| spl6_28
| spl6_42
| ~ spl6_45
| spl6_48
| ~ spl6_77 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1789,plain,
( spl6_64
| ~ spl6_4
| ~ spl6_66
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f1533,f1432,f1188,f96,f1178]) ).
fof(f1790,plain,
( greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_4
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f1611,f97]) ).
fof(f1795,plain,
( ! [X0] :
( ~ greater(X0,sF4(equilibrium(sK2)))
| greater(X0,sF5(equilibrium(sK2))) )
| ~ spl6_4
| ~ spl6_74 ),
inference(resolution,[],[f1790,f26]) ).
fof(f1797,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| ~ greater(zero,sF5(equilibrium(sK2)))
| ~ spl6_64 ),
inference(resolution,[],[f1180,f53]) ).
fof(f1800,plain,
( ~ greater(zero,sF5(equilibrium(sK2)))
| ~ spl6_4
| ~ spl6_64 ),
inference(forward_subsumption_resolution,[],[f1797,f97]) ).
fof(f1801,plain,
( $false
| ~ spl6_4
| ~ spl6_6
| ~ spl6_64 ),
inference(forward_subsumption_resolution,[],[f1800,f106]) ).
fof(f1802,plain,
( ~ spl6_4
| ~ spl6_6
| ~ spl6_64 ),
inference(avatar_contradiction_clause,[],[f1801]) ).
fof(f1803,plain,
( greater(zero,sF5(equilibrium(sK2)))
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ spl6_4
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f133,f1795]) ).
fof(f1804,plain,
( zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ spl6_4
| spl6_6
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f1803,f105]) ).
fof(f1805,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| ~ spl6_4
| spl6_6
| spl6_65
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f1804,f1184]) ).
fof(f1806,plain,
( $false
| ~ spl6_4
| spl6_6
| spl6_65
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f1805,f97]) ).
fof(f1807,plain,
( ~ spl6_4
| spl6_6
| spl6_65
| ~ spl6_74 ),
inference(avatar_contradiction_clause,[],[f1806]) ).
fof(f1810,plain,
( ~ greater(equilibrium(sK2),sK0(sK2))
| ~ spl6_73
| spl6_74 ),
inference(forward_demodulation,[],[f1433,f1430]) ).
fof(f1811,plain,
( $false
| ~ spl6_22
| spl6_28
| ~ spl6_73 ),
inference(forward_subsumption_resolution,[],[f1202,f1430]) ).
fof(f1812,plain,
( ~ spl6_22
| spl6_28
| ~ spl6_73 ),
inference(avatar_contradiction_clause,[],[f1811]) ).
fof(f1813,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| spl6_15
| spl6_24
| ~ spl6_73
| spl6_74 ),
inference(forward_subsumption_resolution,[],[f1810,f1193]) ).
fof(f1814,plain,
( ~ spl6_2
| ~ spl6_4
| spl6_15
| spl6_24
| ~ spl6_73
| spl6_74 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1826,plain,
( spl6_14
| ~ spl6_1
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f722,f275,f77,f279]) ).
fof(f1827,plain,
( ~ spl6_17
| ~ spl6_2
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f627,f279,f81,f294]) ).
fof(f1828,plain,
( $false
| ~ spl6_1
| spl6_17
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f702,f295]) ).
fof(f1829,plain,
( ~ spl6_1
| spl6_17
| ~ spl6_18 ),
inference(avatar_contradiction_clause,[],[f1828]) ).
fof(f1873,plain,
( equilibrium(sK2) = sK0(sK2)
| greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_15 ),
inference(resolution,[],[f284,f28]) ).
fof(f1874,plain,
( greater(sK0(sK2),equilibrium(sK2))
| ~ spl6_15
| spl6_24 ),
inference(forward_subsumption_resolution,[],[f1873,f401]) ).
fof(f1888,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_74 ),
inference(resolution,[],[f1483,f70]) ).
fof(f1890,plain,
( greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_4
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f1888,f97]) ).
fof(f1891,plain,
( greater(sF4(equilibrium(sK2)),zero)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_74 ),
inference(forward_demodulation,[],[f1890,f94]) ).
fof(f1892,plain,
( $false
| ~ spl6_3
| ~ spl6_4
| spl6_64
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f1891,f1179]) ).
fof(f1893,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_64
| ~ spl6_74 ),
inference(avatar_contradiction_clause,[],[f1892]) ).
fof(f1894,plain,
( greater(sF4(equilibrium(sK2)),zero)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_24 ),
inference(forward_demodulation,[],[f489,f94]) ).
fof(f1900,plain,
( $false
| ~ spl6_3
| spl6_12
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f1556,f94]) ).
fof(f1901,plain,
( ~ spl6_3
| spl6_12
| ~ spl6_24 ),
inference(avatar_contradiction_clause,[],[f1900]) ).
fof(f1923,plain,
( ~ spl6_66
| spl6_13
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f1557,f400,f275,f1188]) ).
fof(f1924,plain,
( ~ greater(sF4(equilibrium(sK2)),zero)
| spl6_14
| ~ spl6_24 ),
inference(forward_demodulation,[],[f280,f402]) ).
fof(f1927,plain,
( greater(zero,sF5(equilibrium(sK2)))
| ~ spl6_17
| ~ spl6_24 ),
inference(forward_demodulation,[],[f296,f402]) ).
fof(f1937,plain,
( $false
| spl6_14
| ~ spl6_24
| ~ spl6_64 ),
inference(forward_subsumption_resolution,[],[f1924,f1180]) ).
fof(f1938,plain,
( spl6_14
| ~ spl6_24
| ~ spl6_64 ),
inference(avatar_contradiction_clause,[],[f1937]) ).
fof(f1939,plain,
( $false
| spl6_6
| ~ spl6_17
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f1927,f105]) ).
fof(f1940,plain,
( spl6_6
| ~ spl6_17
| ~ spl6_24 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1962,plain,
( greater(sF4(sK0(sK2)),zero)
| ~ spl6_1
| ~ spl6_12 ),
inference(superposition,[],[f79,f273]) ).
fof(f1969,plain,
( spl6_14
| ~ spl6_1
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f1962,f271,f77,f279]) ).
fof(f1986,plain,
( spl6_26
| ~ spl6_15
| spl6_24 ),
inference(avatar_split_clause,[],[f1874,f400,f283,f408]) ).
fof(f1993,plain,
( ! [X0] :
( ~ greater(X0,sK0(sK2))
| greater(X0,equilibrium(sK2)) )
| ~ spl6_26 ),
inference(resolution,[],[f410,f26]) ).
fof(f1995,plain,
( spl6_25
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f1993,f408,f404]) ).
fof(f2000,plain,
( ~ spl6_65
| spl6_16
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f1560,f400,f288,f1183]) ).
fof(f2001,plain,
( spl6_64
| ~ spl6_1
| ~ spl6_3
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f1894,f400,f92,f77,f1178]) ).
fof(f2012,plain,
( greater(sF5(equilibrium(sK2)),zero)
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f141,f105]) ).
fof(f2013,plain,
( greater(zero,sF4(equilibrium(sK2)))
| zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f133,f105]) ).
fof(f2020,plain,
( greater(sF5(equilibrium(sK2)),zero)
| ~ in_environment(sK2,equilibrium(sK2))
| spl6_6
| spl6_65 ),
inference(forward_subsumption_resolution,[],[f2012,f1184]) ).
fof(f2021,plain,
( zero = sF4(equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2))
| spl6_5
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f2013,f101]) ).
fof(f2022,plain,
( greater(sF5(equilibrium(sK2)),zero)
| ~ spl6_4
| spl6_6
| spl6_65 ),
inference(forward_subsumption_resolution,[],[f2020,f97]) ).
fof(f2023,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| spl6_5
| spl6_6
| spl6_65 ),
inference(forward_subsumption_resolution,[],[f2021,f1184]) ).
fof(f2024,plain,
( greater(zero,zero)
| ~ spl6_3
| ~ spl6_4
| spl6_6
| spl6_65 ),
inference(forward_demodulation,[],[f2022,f94]) ).
fof(f2025,plain,
( $false
| ~ spl6_4
| spl6_5
| spl6_6
| spl6_65 ),
inference(forward_subsumption_resolution,[],[f2023,f97]) ).
fof(f2026,plain,
( ~ spl6_4
| spl6_5
| spl6_6
| spl6_65 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2027,plain,
( $false
| ~ spl6_3
| ~ spl6_4
| spl6_6
| ~ spl6_12
| spl6_17
| spl6_65 ),
inference(forward_subsumption_resolution,[],[f2024,f630]) ).
fof(f2028,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_6
| ~ spl6_12
| spl6_17
| spl6_65 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2081,plain,
( ~ in_environment(sK2,equilibrium(sK2))
| greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_74 ),
inference(resolution,[],[f1483,f70]) ).
fof(f2083,plain,
( greater(sF4(equilibrium(sK2)),sF5(equilibrium(sK2)))
| ~ spl6_4
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f2081,f97]) ).
fof(f2084,plain,
( greater(zero,sF5(equilibrium(sK2)))
| ~ spl6_4
| ~ spl6_65
| ~ spl6_74 ),
inference(forward_demodulation,[],[f2083,f1185]) ).
fof(f2085,plain,
( $false
| ~ spl6_4
| spl6_6
| ~ spl6_65
| ~ spl6_74 ),
inference(forward_subsumption_resolution,[],[f2084,f105]) ).
fof(f2086,plain,
( ~ spl6_4
| spl6_6
| ~ spl6_65
| ~ spl6_74 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2203,plain,
( greater(sF4(sK1(sK2)),zero)
| greater(sF5(sK1(sK2)),zero)
| zero = sF5(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45 ),
inference(resolution,[],[f1769,f138]) ).
fof(f2205,plain,
( greater(sF5(sK1(sK2)),zero)
| zero = sF5(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| spl6_44
| ~ spl6_45 ),
inference(forward_subsumption_resolution,[],[f2203,f855]) ).
fof(f2209,plain,
( zero = sF5(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| spl6_43
| spl6_44
| ~ spl6_45 ),
inference(forward_subsumption_resolution,[],[f2205,f851]) ).
fof(f2213,plain,
( ~ in_environment(sK2,sK1(sK2))
| spl6_22
| ~ spl6_27
| spl6_28
| spl6_42
| spl6_43
| spl6_44
| ~ spl6_45 ),
inference(forward_subsumption_resolution,[],[f2209,f847]) ).
fof(f2217,plain,
( $false
| spl6_22
| ~ spl6_27
| spl6_28
| spl6_42
| spl6_43
| spl6_44
| ~ spl6_45 ),
inference(forward_subsumption_resolution,[],[f2213,f426]) ).
fof(f2218,plain,
( spl6_22
| ~ spl6_27
| spl6_28
| spl6_42
| spl6_43
| spl6_44
| ~ spl6_45 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2227,plain,
( $false
| ~ spl6_27
| ~ spl6_29
| ~ spl6_42
| spl6_44 ),
inference(forward_subsumption_resolution,[],[f1022,f855]) ).
fof(f2228,plain,
( ~ spl6_27
| ~ spl6_29
| ~ spl6_42
| spl6_44 ),
inference(avatar_contradiction_clause,[],[f2227]) ).
cnf(s1,plain,
( spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f84]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f88]) ).
cnf(s6,plain,
( ~ spl6_2
| ~ spl6_10
| spl6_12
| spl6_13
| spl6_14
| ~ spl6_15 ),
inference(sat_conversion,[],[f286]) ).
cnf(s12,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_10
| ~ spl6_15
| spl6_16
| spl6_17 ),
inference(sat_conversion,[],[f306]) ).
cnf(s13,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_10
| spl6_12
| ~ spl6_15
| spl6_17 ),
inference(sat_conversion,[],[f307]) ).
cnf(s16,plain,
( ~ spl6_20
| spl6_24
| spl6_25 ),
inference(sat_conversion,[],[f406]) ).
cnf(s17,plain,
( ~ spl6_20
| spl6_24
| spl6_26 ),
inference(sat_conversion,[],[f411]) ).
cnf(s18,plain,
( spl6_15
| ~ spl6_20 ),
inference(sat_conversion,[],[f413]) ).
cnf(s19,plain,
( ~ spl6_21
| ~ spl6_27
| spl6_28
| spl6_29 ),
inference(sat_conversion,[],[f436]) ).
cnf(s20,plain,
spl6_27,
inference(sat_conversion,[],[f442]) ).
cnf(s21,plain,
( spl6_4
| ~ spl6_22
| ~ spl6_27 ),
inference(sat_conversion,[],[f445]) ).
cnf(s22,plain,
( ~ spl6_2
| spl6_20
| spl6_21
| spl6_22
| spl6_26
| ~ spl6_27 ),
inference(sat_conversion,[],[f472]) ).
cnf(s24,plain,
( spl6_4
| ~ spl6_24 ),
inference(sat_conversion,[],[f528]) ).
cnf(s35,plain,
( ~ spl6_12
| ~ spl6_14
| ~ spl6_16
| spl6_17 ),
inference(sat_conversion,[],[f643]) ).
cnf(s37,plain,
( ~ spl6_1
| ~ spl6_16
| spl6_17 ),
inference(sat_conversion,[],[f653]) ).
cnf(s38,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_16
| spl6_17
| ~ spl6_25 ),
inference(sat_conversion,[],[f679]) ).
cnf(s41,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_10
| spl6_12
| spl6_17
| ~ spl6_25 ),
inference(sat_conversion,[],[f683]) ).
cnf(s42,plain,
( ~ spl6_2
| spl6_10
| spl6_12
| spl6_13
| spl6_14
| ~ spl6_25 ),
inference(sat_conversion,[],[f696]) ).
cnf(s51,plain,
( spl6_15
| ~ spl6_26 ),
inference(sat_conversion,[],[f763]) ).
cnf(s57,plain,
( ~ spl6_27
| ~ spl6_28
| spl6_42
| spl6_43
| spl6_44
| ~ spl6_45 ),
inference(sat_conversion,[],[f861]) ).
cnf(s59,plain,
( ~ spl6_27
| ~ spl6_28
| ~ spl6_45
| spl6_46
| spl6_47
| spl6_48 ),
inference(sat_conversion,[],[f875]) ).
cnf(s64,plain,
( ~ spl6_27
| ~ spl6_28
| spl6_42
| ~ spl6_45
| spl6_47
| spl6_48 ),
inference(sat_conversion,[],[f880]) ).
cnf(s76,plain,
( ~ spl6_27
| ~ spl6_29
| ~ spl6_46
| spl6_48 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s90,plain,
( ~ spl6_27
| ~ spl6_44
| ~ spl6_48 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s91,plain,
( ~ spl6_27
| ~ spl6_29
| ~ spl6_47
| spl6_48 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s99,plain,
( ~ spl6_4
| spl6_5
| spl6_64
| spl6_65 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s101,plain,
( spl6_3
| ~ spl6_4
| spl6_64
| spl6_66 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s104,plain,
( ~ spl6_2
| spl6_20
| spl6_21
| ~ spl6_22
| spl6_26
| ~ spl6_27 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s115,plain,
( ~ spl6_2
| ~ spl6_4
| spl6_24
| spl6_26
| spl6_73
| spl6_74 ),
inference(sat_conversion,[],[f1435]) ).
cnf(s119,plain,
( ~ spl6_5
| spl6_18
| ~ spl6_24 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s125,plain,
( ~ spl6_21
| ~ spl6_28
| spl6_29 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s128,plain,
( ~ spl6_27
| ~ spl6_29
| ~ spl6_43
| spl6_44 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s130,plain,
spl6_45,
inference(sat_conversion,[],[f1663]) ).
cnf(s134,plain,
( ~ spl6_27
| ~ spl6_29
| spl6_77 ),
inference(sat_conversion,[],[f1721]) ).
cnf(s137,plain,
( spl6_22
| ~ spl6_27
| spl6_28
| ~ spl6_45
| spl6_46
| spl6_48
| ~ spl6_77 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s138,plain,
( spl6_22
| ~ spl6_27
| spl6_28
| spl6_42
| ~ spl6_45
| spl6_48
| ~ spl6_77 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s139,plain,
( ~ spl6_4
| spl6_64
| ~ spl6_66
| ~ spl6_74 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s141,plain,
( ~ spl6_4
| ~ spl6_6
| ~ spl6_64 ),
inference(sat_conversion,[],[f1802]) ).
cnf(s142,plain,
( ~ spl6_4
| spl6_6
| spl6_65
| ~ spl6_74 ),
inference(sat_conversion,[],[f1807]) ).
cnf(s144,plain,
( ~ spl6_22
| spl6_28
| ~ spl6_73 ),
inference(sat_conversion,[],[f1812]) ).
cnf(s145,plain,
( ~ spl6_2
| ~ spl6_4
| spl6_15
| spl6_24
| ~ spl6_73
| spl6_74 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s149,plain,
( ~ spl6_1
| ~ spl6_13
| spl6_14 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s150,plain,
( ~ spl6_2
| ~ spl6_14
| ~ spl6_17 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s151,plain,
( ~ spl6_1
| spl6_17
| ~ spl6_18 ),
inference(sat_conversion,[],[f1829]) ).
cnf(s156,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_64
| ~ spl6_74 ),
inference(sat_conversion,[],[f1893]) ).
cnf(s158,plain,
( ~ spl6_3
| spl6_12
| ~ spl6_24 ),
inference(sat_conversion,[],[f1901]) ).
cnf(s162,plain,
( spl6_13
| ~ spl6_24
| ~ spl6_66 ),
inference(sat_conversion,[],[f1923]) ).
cnf(s166,plain,
( spl6_14
| ~ spl6_24
| ~ spl6_64 ),
inference(sat_conversion,[],[f1938]) ).
cnf(s167,plain,
( spl6_6
| ~ spl6_17
| ~ spl6_24 ),
inference(sat_conversion,[],[f1940]) ).
cnf(s171,plain,
( ~ spl6_1
| ~ spl6_12
| spl6_14 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s175,plain,
( ~ spl6_15
| spl6_24
| spl6_26 ),
inference(sat_conversion,[],[f1986]) ).
cnf(s176,plain,
( spl6_25
| ~ spl6_26 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s177,plain,
( spl6_16
| ~ spl6_24
| ~ spl6_65 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s178,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_24
| spl6_64 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s185,plain,
( ~ spl6_4
| spl6_5
| spl6_6
| spl6_65 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s186,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_6
| ~ spl6_12
| spl6_17
| spl6_65 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s187,plain,
( ~ spl6_4
| spl6_6
| ~ spl6_65
| ~ spl6_74 ),
inference(sat_conversion,[],[f2086]) ).
cnf(s194,plain,
( spl6_22
| ~ spl6_27
| spl6_28
| spl6_42
| spl6_43
| spl6_44
| ~ spl6_45 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s199,plain,
( ~ spl6_27
| ~ spl6_29
| ~ spl6_42
| spl6_44 ),
inference(sat_conversion,[],[f2228]) ).
cnf(s201,plain,
( ~ spl6_27
| ~ spl6_28
| spl6_42
| spl6_47
| spl6_48 ),
inference(rat,[],[s64,s130]) ).
cnf(s206,plain,
( ~ spl6_27
| ~ spl6_28
| spl6_46
| spl6_47
| spl6_48 ),
inference(rat,[],[s59,s130]) ).
cnf(s208,plain,
( ~ spl6_27
| ~ spl6_28
| spl6_42
| spl6_43
| spl6_44 ),
inference(rat,[],[s57,s130]) ).
cnf(s209,plain,
( ~ spl6_21
| spl6_28
| spl6_29 ),
inference(rat,[],[s19,s20]) ).
cnf(s210,plain,
spl6_1,
inference(rat,[],[s1,s2]) ).
cnf(s211,plain,
( spl6_42
| ~ spl6_29
| spl6_28
| spl6_22 ),
inference(rat,[],[s128,s194,s90,s138,s134,s20,s130]) ).
cnf(s212,plain,
( spl6_28
| ~ spl6_21
| spl6_22 ),
inference(rat,[],[s137,s76,s90,s199,s211,s134,s209,s20,s130]) ).
cnf(s213,plain,
( spl6_44
| spl6_42
| ~ spl6_29
| ~ spl6_28 ),
inference(rat,[],[s208,s128,s20]) ).
cnf(s214,plain,
( spl6_42
| ~ spl6_28
| ~ spl6_29 ),
inference(rat,[],[s201,s91,s90,s213,s20]) ).
cnf(s215,plain,
( ~ spl6_28
| ~ spl6_29 ),
inference(rat,[],[s206,s76,s91,s90,s199,s214,s20]) ).
cnf(s216,plain,
( ~ spl6_28
| ~ spl6_21 ),
inference(rat,[],[s215,s125]) ).
cnf(s217,plain,
( ~ spl6_21
| spl6_22 ),
inference(rat,[],[s216,s212]) ).
cnf(s219,plain,
( ~ spl6_25
| spl6_13
| spl6_10
| spl6_12 ),
inference(rat,[],[s150,s41,s42,s210,s2]) ).
cnf(s220,plain,
( spl6_25
| spl6_4 ),
inference(rat,[],[s22,s16,s176,s24,s217,s21,s2,s20]) ).
cnf(s221,plain,
( ~ spl6_25
| spl6_12
| spl6_10 ),
inference(rat,[],[s150,s149,s41,s219,s210,s2]) ).
cnf(s222,plain,
( ~ spl6_25
| spl6_10 ),
inference(rat,[],[s38,s35,s150,s171,s221,s210,s2]) ).
cnf(s223,plain,
( ~ spl6_15
| spl6_12
| ~ spl6_10 ),
inference(rat,[],[s6,s149,s150,s13,s210,s2]) ).
cnf(s224,plain,
( spl6_15
| spl6_22 ),
inference(rat,[],[s22,s18,s51,s217,s2,s20]) ).
cnf(s225,plain,
( ~ spl6_15
| ~ spl6_10 ),
inference(rat,[],[s12,s35,s150,s171,s223,s210,s2]) ).
cnf(s226,plain,
spl6_4,
inference(rat,[],[s225,s224,s222,s220,s21,s20]) ).
cnf(s227,plain,
( spl6_14
| ~ spl6_24
| spl6_3 ),
inference(rat,[],[s101,s162,s166,s149,s226,s210]) ).
cnf(s228,plain,
( spl6_5
| spl6_65 ),
inference(rat,[],[s141,s99,s185,s226]) ).
cnf(s229,plain,
( ~ spl6_24
| spl6_3 ),
inference(rat,[],[s228,s177,s119,s37,s151,s150,s227,s2,s210]) ).
cnf(s230,plain,
( spl6_64
| ~ spl6_74
| spl6_3 ),
inference(rat,[],[s101,s139,s226]) ).
cnf(s231,plain,
( spl6_6
| ~ spl6_74 ),
inference(rat,[],[s142,s187,s226]) ).
cnf(s232,plain,
( ~ spl6_74
| spl6_3 ),
inference(rat,[],[s231,s141,s230,s226]) ).
cnf(s233,plain,
( spl6_26
| spl6_3 ),
inference(rat,[],[s145,s115,s175,s229,s232,s2,s226]) ).
cnf(s234,plain,
~ spl6_26,
inference(rat,[],[s225,s222,s51,s176]) ).
cnf(s235,plain,
spl6_3,
inference(rat,[],[s233,s234]) ).
cnf(s236,plain,
~ spl6_24,
inference(rat,[],[s177,s186,s35,s167,s166,s141,s158,s178,s235,s226,s210]) ).
cnf(s237,plain,
~ spl6_15,
inference(rat,[],[s175,s234,s236]) ).
cnf(s238,plain,
~ spl6_20,
inference(rat,[],[s17,s234,s236]) ).
cnf(s239,plain,
spl6_22,
inference(rat,[],[s224,s237]) ).
cnf(s241,plain,
spl6_21,
inference(rat,[],[s104,s20,s234,s238,s2,s239]) ).
cnf(s243,plain,
~ spl6_28,
inference(rat,[],[s216,s241]) ).
cnf(s244,plain,
~ spl6_73,
inference(rat,[],[s144,s239,s243]) ).
cnf(s246,plain,
spl6_74,
inference(rat,[],[s115,s236,s234,s226,s2,s244]) ).
cnf(s248,plain,
spl6_64,
inference(rat,[],[s156,s226,s235,s246]) ).
cnf(s249,plain,
spl6_6,
inference(rat,[],[s231,s246]) ).
cnf(s250,plain,
$false,
inference(rat,[],[s141,s226,s249,s248]) ).
fof(f2231,plain,
$false,
inference(avatar_sat_refutation,[],[s250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:22:35 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/1.77 % (3629521)Detected formulas, will run a generic FOF schedule.
% 5.79/1.77 % (3629567)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3143510142:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.79/1.77 % (3629571)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3892266630:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.79/1.77 % (3629572)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1880395982:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.79/1.77 % (3629573)dis-21_1_sil=8000:lcm=predicate:random_seed=663360381:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.79/1.77 % (3629570)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1165759855:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.79/1.77 % (3629569)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3933472441:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.79/1.77 % (3629568)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=370166107:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.79/1.77 % (3629573)Instruction limit reached!
% 5.79/1.77 % (3629573)------------------------------
% 5.79/1.77 % (3629573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629573)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629573)Termination reason: Instruction limit
% 5.79/1.77 % (3629573)Termination phase: Saturation
% 5.79/1.77 % (3629573)Time elapsed: 0.054 s
% 5.79/1.77 % (3629573)Peak memory usage: 88 MB
% 5.79/1.77 % (3629573)Instructions burned: 129 (million)
% 5.79/1.77 % (3629570)Instruction limit reached!
% 5.79/1.77 % (3629570)------------------------------
% 5.79/1.77 % (3629570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629570)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629570)Termination reason: Instruction limit
% 5.79/1.77 % (3629570)Termination phase: Saturation
% 5.79/1.77 % (3629570)Time elapsed: 0.063 s
% 5.79/1.77 % (3629570)Peak memory usage: 89 MB
% 5.79/1.77 % (3629570)Instructions burned: 110 (million)
% 5.79/1.77 % (3629571)Instruction limit reached!
% 5.79/1.77 % (3629571)------------------------------
% 5.79/1.77 % (3629571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629571)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629571)Termination reason: Instruction limit
% 5.79/1.77 % (3629571)Termination phase: Saturation
% 5.79/1.77 % (3629571)Time elapsed: 0.065 s
% 5.79/1.77 % (3629571)Peak memory usage: 88 MB
% 5.79/1.77 % (3629571)Instructions burned: 119 (million)
% 5.79/1.77 % (3629572)Instruction limit reached!
% 5.79/1.77 % (3629572)------------------------------
% 5.79/1.77 % (3629572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629572)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629572)Termination reason: Instruction limit
% 5.79/1.77 % (3629572)Termination phase: Saturation
% 5.79/1.77 % (3629572)Time elapsed: 0.099 s
% 5.79/1.77 % (3629572)Peak memory usage: 89 MB
% 5.79/1.77 % (3629572)Instructions burned: 139 (million)
% 5.79/1.77 % (3629582)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3307378233:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.79/1.77 % (3629582)Refutation not found, incomplete strategy
% 5.79/1.77 % (3629582)------------------------------
% 5.79/1.77 % (3629582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629582)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629582)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.77 % (3629582)Time elapsed: 0.003 s
% 5.79/1.77 % (3629582)Peak memory usage: 88 MB
% 5.79/1.77 % (3629582)Instructions burned: 3 (million)
% 5.79/1.77 % (3629581)lrs+10_1_sil=8000:sp=occurrence:random_seed=3153230407:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.79/1.77 % (3629583)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3073240750:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.79/1.77 % (3629584)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2299969253:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.79/1.77 % (3629584)Refutation not found, incomplete strategy
% 5.79/1.77 % (3629584)------------------------------
% 5.79/1.77 % (3629584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629584)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629584)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.77 % (3629584)Time elapsed: 0.003 s
% 5.79/1.77 % (3629584)Peak memory usage: 88 MB
% 5.79/1.77 % (3629584)Instructions burned: 3 (million)
% 5.79/1.77 % (3629581)Instruction limit reached!
% 5.79/1.77 % (3629581)------------------------------
% 5.79/1.77 % (3629581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629581)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629581)Termination reason: Instruction limit
% 5.79/1.77 % (3629581)Termination phase: Saturation
% 5.79/1.77 % (3629581)Time elapsed: 0.160 s
% 5.79/1.77 % (3629581)Peak memory usage: 91 MB
% 5.79/1.77 % (3629581)Instructions burned: 286 (million)
% 5.79/1.77 % (3629583)Instruction limit reached!
% 5.79/1.77 % (3629583)------------------------------
% 5.79/1.77 % (3629583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.77 % (3629583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.77 % (3629583)CaDiCaL version: 2.1.3
% 5.79/1.77 % (3629583)Termination reason: Instruction limit
% 5.79/1.77 % (3629583)Termination phase: Saturation
% 5.79/1.77 % (3629583)Time elapsed: 0.215 s
% 5.79/1.77 % (3629583)Peak memory usage: 91 MB
% 5.79/1.77 % (3629583)Instructions burned: 325 (million)
% 5.79/1.77 % (3629582)------------------------------
% 5.79/1.78 % (3629582)------------------------------
% 5.79/1.78 % (3629589)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2389083619:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.79/1.78 % (3629584)------------------------------
% 5.79/1.78 % (3629584)------------------------------
% 5.79/1.78 % (3629567)First to succeed.
% 5.79/1.78 % (3629567)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3629521"
% 5.79/1.78 % (3629590)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1921713331:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.79/1.78 % (3629591)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1785724592:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.79/1.78 % (3629591)Also succeeded, but the first one will report.
% 5.79/1.78 % (3629593)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=349873650:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.79/1.78 % (3629568)Also succeeded, but the first one will report.
% 5.79/1.78 % (3629589)Instruction limit reached!
% 5.79/1.78 % (3629589)------------------------------
% 5.79/1.78 % (3629589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.78 % (3629589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.78 % (3629589)CaDiCaL version: 2.1.3
% 5.79/1.78 % (3629589)Termination reason: Instruction limit
% 5.79/1.78 % (3629589)Termination phase: Saturation
% 5.79/1.78 % (3629589)Time elapsed: 0.161 s
% 5.79/1.78 % (3629589)Peak memory usage: 89 MB
% 5.79/1.78 % (3629589)Instructions burned: 295 (million)
% 5.79/1.78 % (3629593)Instruction limit reached!
% 5.79/1.78 % (3629593)------------------------------
% 5.79/1.78 % (3629593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.78 % (3629593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.78 % (3629593)CaDiCaL version: 2.1.3
% 5.79/1.78 % (3629593)Termination reason: Instruction limit
% 5.79/1.78 % (3629593)Termination phase: Saturation
% 5.79/1.78 % (3629593)Time elapsed: 0.063 s
% 5.79/1.78 % (3629593)Peak memory usage: 88 MB
% 5.79/1.78 % (3629593)Instructions burned: 128 (million)
% 5.79/1.78 % (3629597)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3958032104:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.79/1.78 % (3629567)Refutation found. Thanks to Tanya!
% 5.79/1.78 % SZS status Theorem for theBenchmark
% 5.79/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 7.14/1.97 % (3629567)------------------------------
% 7.14/1.97 % (3629567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3629567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3629567)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3629567)Termination reason: Refutation
% 7.14/1.97 % (3629567)Time elapsed: 0.564 s
% 7.14/1.97 % (3629567)Peak memory usage: 131 MB
% 7.14/1.97 % (3629567)Instructions burned: 1159 (million)
% 7.14/1.97 % (3629567)------------------------------
% 7.14/1.97 % (3629567)------------------------------
% 7.14/1.97 % (3629521)Success in time 0.924 s
% 7.14/1.97 % Vampire exiting
%------------------------------------------------------------------------------