TSTP Solution File: MGT029-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:43:26 EDT 2024
% Result : Unsatisfiable 7.88s 1.65s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of clauses : 215 ( 11 unt; 103 nHn; 214 RR)
% Number of literals : 855 ( 277 equ; 483 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 240 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_19) ).
cnf(c_50,plain,
( ~ in_environment(X0,X1)
| ~ in_environment(X0,X2)
| X1 = X2
| greater(X1,X2)
| greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_times_in_environment_20) ).
cnf(c_51,plain,
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_21) ).
cnf(c_52,plain,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_22) ).
cnf(c_54,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_24) ).
cnf(c_55,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_25) ).
cnf(c_56,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_26) ).
cnf(c_57,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_27) ).
cnf(c_58,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_28) ).
cnf(c_59,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_29) ).
cnf(c_60,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_30) ).
cnf(c_61,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_31) ).
cnf(c_62,plain,
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_32) ).
cnf(c_63,plain,
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk1(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_33) ).
cnf(c_64,plain,
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_34) ).
cnf(c_65,plain,
( ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(sk2(X0),equilibrium(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_35) ).
cnf(c_66,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l11_36) ).
cnf(c_67,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l11_37) ).
cnf(c_68,negated_conjecture,
( ~ in_environment(sk3,X0)
| subpopulations(first_movers,efficient_producers,sk3,sk4(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l11_38) ).
cnf(c_69,negated_conjecture,
( ~ in_environment(sk3,X0)
| greater_or_equal(sk4(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l11_39) ).
cnf(c_70,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk4(X0)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(X0)))
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l11_40) ).
cnf(c_271,plain,
( X0 != sk3
| ~ environment(X0)
| greater_or_equal(sk2(X0),equilibrium(X0)) ),
inference(resolution_lifted,[status(thm)],[c_65,c_67]) ).
cnf(c_272,plain,
( ~ environment(sk3)
| greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
inference(unflattening,[status(thm)],[c_271]) ).
cnf(c_273,plain,
greater_or_equal(sk2(sk3),equilibrium(sk3)),
inference(global_subsumption_just,[status(thm)],[c_272,c_66,c_272]) ).
cnf(c_278,plain,
( X0 != sk3
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
inference(resolution_lifted,[status(thm)],[c_64,c_67]) ).
cnf(c_279,plain,
( ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(unflattening,[status(thm)],[c_278]) ).
cnf(c_285,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk1(X0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_63,c_67]) ).
cnf(c_286,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,sk1(sk3))
| ~ environment(sk3)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(unflattening,[status(thm)],[c_285]) ).
cnf(c_288,plain,
( ~ greater_or_equal(X0,sk1(sk3))
| ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_286,c_66,c_286]) ).
cnf(c_289,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,sk1(sk3))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(renaming,[status(thm)],[c_288]) ).
cnf(c_300,plain,
( X0 != sk3
| ~ environment(X0)
| in_environment(X0,sk1(X0)) ),
inference(resolution_lifted,[status(thm)],[c_62,c_67]) ).
cnf(c_301,plain,
( ~ environment(sk3)
| in_environment(sk3,sk1(sk3)) ),
inference(unflattening,[status(thm)],[c_300]) ).
cnf(c_302,plain,
in_environment(sk3,sk1(sk3)),
inference(global_subsumption_just,[status(thm)],[c_301,c_66,c_301]) ).
cnf(c_313,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_61,c_66]) ).
cnf(c_314,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(efficient_producers,X0) = zero
| greater(zero,growth_rate(first_movers,X0))
| greater(zero,growth_rate(efficient_producers,X0)) ),
inference(unflattening,[status(thm)],[c_313]) ).
cnf(c_331,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_60,c_66]) ).
cnf(c_332,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(efficient_producers,X0) = zero
| greater(growth_rate(efficient_producers,X0),zero)
| greater(zero,growth_rate(efficient_producers,X0)) ),
inference(unflattening,[status(thm)],[c_331]) ).
cnf(c_349,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_59,c_66]) ).
cnf(c_350,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(efficient_producers,X0) = zero
| greater(growth_rate(first_movers,X0),zero)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(unflattening,[status(thm)],[c_349]) ).
cnf(c_367,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_58,c_66]) ).
cnf(c_368,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(efficient_producers,X0) = zero
| greater(growth_rate(first_movers,X0),zero)
| greater(growth_rate(efficient_producers,X0),zero) ),
inference(unflattening,[status(thm)],[c_367]) ).
cnf(c_385,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_57,c_66]) ).
cnf(c_386,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(first_movers,X0) = zero
| greater(zero,growth_rate(first_movers,X0))
| greater(zero,growth_rate(efficient_producers,X0)) ),
inference(unflattening,[status(thm)],[c_385]) ).
cnf(c_403,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_56,c_66]) ).
cnf(c_404,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(first_movers,X0) = zero
| greater(growth_rate(efficient_producers,X0),zero)
| greater(zero,growth_rate(efficient_producers,X0)) ),
inference(unflattening,[status(thm)],[c_403]) ).
cnf(c_421,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_55,c_66]) ).
cnf(c_422,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(first_movers,X0) = zero
| greater(growth_rate(first_movers,X0),zero)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(unflattening,[status(thm)],[c_421]) ).
cnf(c_439,plain,
( X0 != sk3
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_54,c_66]) ).
cnf(c_440,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,equilibrium(sk3))
| growth_rate(first_movers,X0) = zero
| greater(growth_rate(first_movers,X0),zero)
| greater(growth_rate(efficient_producers,X0),zero) ),
inference(unflattening,[status(thm)],[c_439]) ).
cnf(c_497,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_68,c_440]) ).
cnf(c_498,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(growth_rate(first_movers,sk4(X0)),zero)
| greater(growth_rate(efficient_producers,sk4(X0)),zero) ),
inference(unflattening,[status(thm)],[c_497]) ).
cnf(c_515,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_422]) ).
cnf(c_516,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(growth_rate(first_movers,sk4(X0)),zero)
| greater(zero,growth_rate(first_movers,sk4(X0))) ),
inference(unflattening,[status(thm)],[c_515]) ).
cnf(c_518,plain,
( greater(growth_rate(first_movers,sk4(X0)),zero)
| growth_rate(first_movers,sk4(X0)) = zero
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(sk4(X0),equilibrium(sk3)) ),
inference(global_subsumption_just,[status(thm)],[c_516,c_70,c_498,c_516]) ).
cnf(c_519,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(growth_rate(first_movers,sk4(X0)),zero) ),
inference(renaming,[status(thm)],[c_518]) ).
cnf(c_533,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_404]) ).
cnf(c_534,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(growth_rate(efficient_producers,sk4(X0)),zero)
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(unflattening,[status(thm)],[c_533]) ).
cnf(c_551,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_386]) ).
cnf(c_552,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(zero,growth_rate(first_movers,sk4(X0)))
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(unflattening,[status(thm)],[c_551]) ).
cnf(c_554,plain,
( growth_rate(first_movers,sk4(X0)) = zero
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_552,c_70,c_534,c_552]) ).
cnf(c_555,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(renaming,[status(thm)],[c_554]) ).
cnf(c_569,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(resolution_lifted,[status(thm)],[c_68,c_368]) ).
cnf(c_570,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(growth_rate(first_movers,sk4(X0)),zero)
| greater(growth_rate(efficient_producers,sk4(X0)),zero) ),
inference(unflattening,[status(thm)],[c_569]) ).
cnf(c_587,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_350]) ).
cnf(c_588,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(growth_rate(first_movers,sk4(X0)),zero)
| greater(zero,growth_rate(first_movers,sk4(X0))) ),
inference(unflattening,[status(thm)],[c_587]) ).
cnf(c_590,plain,
( greater(growth_rate(first_movers,sk4(X0)),zero)
| growth_rate(efficient_producers,sk4(X0)) = zero
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(sk4(X0),equilibrium(sk3)) ),
inference(global_subsumption_just,[status(thm)],[c_588,c_70,c_570,c_588]) ).
cnf(c_591,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(growth_rate(first_movers,sk4(X0)),zero) ),
inference(renaming,[status(thm)],[c_590]) ).
cnf(c_605,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_332]) ).
cnf(c_606,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(growth_rate(efficient_producers,sk4(X0)),zero)
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(unflattening,[status(thm)],[c_605]) ).
cnf(c_623,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_314]) ).
cnf(c_624,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(zero,growth_rate(first_movers,sk4(X0)))
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(unflattening,[status(thm)],[c_623]) ).
cnf(c_626,plain,
( growth_rate(efficient_producers,sk4(X0)) = zero
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_624,c_70,c_606,c_624]) ).
cnf(c_627,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(renaming,[status(thm)],[c_626]) ).
cnf(c_641,plain,
( sk4(X0) != X1
| first_movers != first_movers
| efficient_producers != efficient_producers
| sk3 != sk3
| ~ greater_or_equal(X1,sk1(sk3))
| ~ in_environment(sk3,X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(resolution_lifted,[status(thm)],[c_68,c_289]) ).
cnf(c_642,plain,
( ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| greater(growth_rate(efficient_producers,sk4(X0)),growth_rate(first_movers,sk4(X0))) ),
inference(unflattening,[status(thm)],[c_641]) ).
cnf(c_688,plain,
( equilibrium(sk3) != X1
| sk2(sk3) != X0
| X0 = X1
| greater(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_273]) ).
cnf(c_689,plain,
( sk2(sk3) = equilibrium(sk3)
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(unflattening,[status(thm)],[c_688]) ).
cnf(c_1596,plain,
X0 = X0,
theory(equality) ).
cnf(c_1598,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1599,plain,
( X0 != X1
| X2 != X3
| ~ greater(X1,X3)
| greater(X0,X2) ),
theory(equality) ).
cnf(c_1600,plain,
( X0 != X1
| X2 != X3
| ~ in_environment(X1,X3)
| in_environment(X0,X2) ),
theory(equality) ).
cnf(c_1601,plain,
( X0 != X1
| X2 != X3
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X0,X2) ),
theory(equality) ).
cnf(c_1604,plain,
( X0 != X1
| sk1(X0) = sk1(X1) ),
theory(equality) ).
cnf(c_1610,plain,
zero = zero,
inference(instantiation,[status(thm)],[c_1596]) ).
cnf(c_1878,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_1883,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1884,plain,
( ~ in_environment(sk3,sk2(sk3))
| greater_or_equal(sk4(sk2(sk3)),sk2(sk3)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1887,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(instantiation,[status(thm)],[c_642]) ).
cnf(c_1892,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1893,plain,
( ~ in_environment(sk3,sk1(sk3))
| greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1909,plain,
( ~ greater(sk4(sk2(sk3)),sk1(sk3))
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1910,plain,
( sk4(sk2(sk3)) != X0
| sk1(sk3) != X1
| ~ greater_or_equal(X0,X1)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_1601]) ).
cnf(c_1913,plain,
( sk4(sk2(sk3)) != X0
| equilibrium(sk3) != X1
| ~ greater_or_equal(X0,X1)
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_1601]) ).
cnf(c_1921,plain,
( growth_rate(first_movers,sk4(sk2(sk3))) != X0
| zero != X1
| ~ greater(X1,X0)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_1923,plain,
( growth_rate(first_movers,sk4(sk2(sk3))) != zero
| zero != zero
| ~ greater(zero,zero)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(instantiation,[status(thm)],[c_1921]) ).
cnf(c_1933,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) != X0
| zero != X1
| ~ greater(X1,X0)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_1935,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) != zero
| zero != zero
| ~ greater(zero,zero)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(instantiation,[status(thm)],[c_1933]) ).
cnf(c_1938,plain,
sk3 = sk3,
inference(instantiation,[status(thm)],[c_1596]) ).
cnf(c_1946,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),X0)
| sk4(sk2(sk3)) = X0
| greater(sk4(sk2(sk3)),X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1948,plain,
( sk4(sk2(sk3)) != sk4(sk2(sk3))
| sk1(sk3) != X0
| ~ greater_or_equal(sk4(sk2(sk3)),X0)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_1910]) ).
cnf(c_1959,plain,
( sk4(sk2(sk3)) != sk4(sk2(sk3))
| equilibrium(sk3) != X0
| ~ greater_or_equal(sk4(sk2(sk3)),X0)
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_1913]) ).
cnf(c_1970,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater(zero,X1)
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(growth_rate(first_movers,sk4(X0)),X1) ),
inference(superposition,[status(thm)],[c_519,c_49]) ).
cnf(c_1971,plain,
( ~ greater(growth_rate(efficient_producers,sk4(X0)),X1)
| ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(zero,X1) ),
inference(superposition,[status(thm)],[c_555,c_49]) ).
cnf(c_1972,plain,
( ~ greater(growth_rate(first_movers,sk4(X0)),X1)
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| greater(growth_rate(efficient_producers,sk4(X0)),X1) ),
inference(superposition,[status(thm)],[c_642,c_49]) ).
cnf(c_1992,plain,
( ~ in_environment(sk3,X0)
| sk4(X0) = X0
| greater(sk4(X0),X0) ),
inference(superposition,[status(thm)],[c_69,c_51]) ).
cnf(c_1994,plain,
( equilibrium(sk3) = sk2(sk3)
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(superposition,[status(thm)],[c_273,c_51]) ).
cnf(c_1998,plain,
( ~ greater(equilibrium(sk3),X0)
| equilibrium(sk3) = sk2(sk3)
| greater(sk2(sk3),X0) ),
inference(superposition,[status(thm)],[c_1994,c_49]) ).
cnf(c_2006,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X0)
| sk4(X0) = X0
| greater(sk4(X0),X1) ),
inference(superposition,[status(thm)],[c_1992,c_49]) ).
cnf(c_2036,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater(sk4(sk2(sk3)),sk2(sk3)) ),
inference(instantiation,[status(thm)],[c_1946]) ).
cnf(c_2037,plain,
( ~ greater(growth_rate(efficient_producers,sk4(X0)),X1)
| ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(zero,X1) ),
inference(superposition,[status(thm)],[c_627,c_49]) ).
cnf(c_2044,plain,
( sk4(sk2(sk3)) != sk4(sk2(sk3))
| sk1(sk3) != sk2(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_1948]) ).
cnf(c_2045,plain,
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| ~ in_environment(sk3,X0)
| sk4(X0) = X0
| greater(sk4(X0),X2) ),
inference(superposition,[status(thm)],[c_2006,c_49]) ).
cnf(c_2046,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X0)
| sk4(X0) = X0
| greater_or_equal(sk4(X0),X1) ),
inference(superposition,[status(thm)],[c_2006,c_52]) ).
cnf(c_2055,plain,
( sk4(sk2(sk3)) != sk4(sk2(sk3))
| equilibrium(sk3) != sk2(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_1959]) ).
cnf(c_2071,plain,
( equilibrium(sk3) = sk2(sk3)
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(superposition,[status(thm)],[c_273,c_51]) ).
cnf(c_2104,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(growth_rate(efficient_producers,sk4(X0)),zero) ),
inference(superposition,[status(thm)],[c_591,c_1972]) ).
cnf(c_2105,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(growth_rate(efficient_producers,sk4(X0)),zero) ),
inference(superposition,[status(thm)],[c_519,c_1972]) ).
cnf(c_2121,plain,
( ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(sk1(sk3),X0)
| greater(X0,sk1(sk3)) ),
inference(superposition,[status(thm)],[c_302,c_50]) ).
cnf(c_2193,plain,
( ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(sk1(sk3),X0)
| greater_or_equal(X0,sk1(sk3)) ),
inference(superposition,[status(thm)],[c_2121,c_52]) ).
cnf(c_2196,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(sk1(sk3),X1)
| greater(X0,sk1(sk3)) ),
inference(superposition,[status(thm)],[c_2121,c_49]) ).
cnf(c_2197,plain,
( ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(X0,sk1(sk3))
| greater_or_equal(sk1(sk3),X0) ),
inference(superposition,[status(thm)],[c_2121,c_52]) ).
cnf(c_2253,plain,
( ~ greater(sk4(sk2(sk3)),X0)
| ~ greater(X0,X1)
| greater(sk4(sk2(sk3)),X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2343,plain,
( ~ greater(equilibrium(sk3),X0)
| ~ in_environment(sk3,sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| equilibrium(sk3) = sk2(sk3)
| greater(sk4(sk2(sk3)),X0) ),
inference(superposition,[status(thm)],[c_2071,c_2045]) ).
cnf(c_2374,plain,
( growth_rate(first_movers,sk4(sk2(sk3))) != X0
| X1 != X0
| X1 = growth_rate(first_movers,sk4(sk2(sk3))) ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_2375,plain,
( growth_rate(first_movers,sk4(sk2(sk3))) != zero
| zero != zero
| zero = growth_rate(first_movers,sk4(sk2(sk3))) ),
inference(instantiation,[status(thm)],[c_2374]) ).
cnf(c_2418,plain,
( X0 != X1
| ~ greater(X1,X2)
| greater(X0,X2) ),
inference(resolution,[status(thm)],[c_1599,c_1596]) ).
cnf(c_2452,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) != X0
| X1 != X2
| ~ greater(X0,X2)
| greater(growth_rate(first_movers,sk4(sk1(sk3))),X1) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_2454,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) != zero
| zero != zero
| ~ greater(zero,zero)
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
inference(instantiation,[status(thm)],[c_2452]) ).
cnf(c_2466,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) != X0
| X1 != X0
| X1 = growth_rate(first_movers,sk4(sk1(sk3))) ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_2467,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) != zero
| zero != zero
| zero = growth_rate(first_movers,sk4(sk1(sk3))) ),
inference(instantiation,[status(thm)],[c_2466]) ).
cnf(c_2504,plain,
( equilibrium(sk3) = sk2(sk3)
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(superposition,[status(thm)],[c_273,c_51]) ).
cnf(c_2506,plain,
( ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(sk1(sk3),X0)
| greater(X0,sk1(sk3)) ),
inference(superposition,[status(thm)],[c_2193,c_51]) ).
cnf(c_2606,plain,
( X0 != sk3
| sk1(X0) = sk1(sk3) ),
inference(instantiation,[status(thm)],[c_1604]) ).
cnf(c_2667,plain,
( ~ greater(X0,X1)
| ~ greater_or_equal(X2,X0)
| greater(X2,X0)
| greater(X2,X1) ),
inference(resolution,[status(thm)],[c_2418,c_51]) ).
cnf(c_2669,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater(zero,X1)
| ~ in_environment(sk3,X0)
| greater(growth_rate(first_movers,sk4(X0)),X1)
| greater(growth_rate(first_movers,sk4(X0)),zero) ),
inference(resolution,[status(thm)],[c_2418,c_519]) ).
cnf(c_2707,plain,
( sk4(sk2(sk3)) != sk2(sk3)
| equilibrium(sk3) != X0
| ~ greater_or_equal(sk2(sk3),X0)
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_1913]) ).
cnf(c_2708,plain,
( sk4(sk2(sk3)) != sk2(sk3)
| sk1(sk3) != X0
| ~ greater_or_equal(sk2(sk3),X0)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_1910]) ).
cnf(c_2738,plain,
( ~ in_environment(sk3,sk2(sk3))
| equilibrium(sk3) = sk2(sk3)
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater(sk2(sk3),sk1(sk3)) ),
inference(superposition,[status(thm)],[c_2504,c_2196]) ).
cnf(c_2753,plain,
( growth_rate(efficient_producers,sk4(sk1(sk3))) != X0
| zero != X0
| zero = growth_rate(efficient_producers,sk4(sk1(sk3))) ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_2754,plain,
( growth_rate(efficient_producers,sk4(sk1(sk3))) != zero
| zero != zero
| zero = growth_rate(efficient_producers,sk4(sk1(sk3))) ),
inference(instantiation,[status(thm)],[c_2753]) ).
cnf(c_2786,plain,
( ~ greater(sk4(sk2(sk3)),sk2(sk3))
| ~ greater(sk2(sk3),X0)
| greater(sk4(sk2(sk3)),X0) ),
inference(instantiation,[status(thm)],[c_2253]) ).
cnf(c_2791,plain,
( X0 != growth_rate(efficient_producers,sk4(sk1(sk3)))
| X1 != growth_rate(first_movers,sk4(sk1(sk3)))
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| greater(X0,X1) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_2792,plain,
( zero != growth_rate(first_movers,sk4(sk1(sk3)))
| zero != growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| greater(zero,zero) ),
inference(instantiation,[status(thm)],[c_2791]) ).
cnf(c_2838,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater(zero,X1)
| ~ in_environment(sk3,X0)
| greater(growth_rate(first_movers,sk4(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2669,c_49]) ).
cnf(c_2875,plain,
( ~ greater(X0,X1)
| ~ greater_or_equal(X2,X0)
| greater(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2667,c_49]) ).
cnf(c_2886,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X0)
| greater(sk4(X0),X1) ),
inference(resolution,[status(thm)],[c_2875,c_69]) ).
cnf(c_2889,plain,
( ~ greater(equilibrium(sk3),X0)
| greater(sk2(sk3),X0) ),
inference(resolution,[status(thm)],[c_2875,c_273]) ).
cnf(c_2917,plain,
( ~ in_environment(sk3,X0)
| ~ greater(zero,X1)
| ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| greater(growth_rate(first_movers,sk4(X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_1970,c_2838]) ).
cnf(c_2918,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater(zero,X1)
| ~ in_environment(sk3,X0)
| greater(growth_rate(first_movers,sk4(X0)),X1) ),
inference(renaming,[status(thm)],[c_2917]) ).
cnf(c_2923,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ greater(zero,X1)
| ~ in_environment(sk3,X0)
| greater(growth_rate(efficient_producers,sk4(X0)),X1) ),
inference(superposition,[status(thm)],[c_2918,c_1972]) ).
cnf(c_2953,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero
| greater(zero,growth_rate(first_movers,sk4(X0))) ),
inference(superposition,[status(thm)],[c_642,c_1971]) ).
cnf(c_3024,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| greater(zero,growth_rate(first_movers,sk4(X0))) ),
inference(superposition,[status(thm)],[c_642,c_2037]) ).
cnf(c_3040,plain,
( ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(sk1(sk3),sk1(sk3))
| greater(sk1(sk3),X0)
| greater(X0,sk1(sk3)) ),
inference(superposition,[status(thm)],[c_2506,c_2196]) ).
cnf(c_3269,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| ~ greater(equilibrium(sk3),X0)
| greater(sk4(sk2(sk3)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2343,c_66,c_279,c_1884,c_2036,c_2786,c_2889]) ).
cnf(c_3270,plain,
( ~ greater(equilibrium(sk3),X0)
| sk4(sk2(sk3)) = sk2(sk3)
| greater(sk4(sk2(sk3)),X0) ),
inference(renaming,[status(thm)],[c_3269]) ).
cnf(c_3276,plain,
( ~ greater(equilibrium(sk3),X0)
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),X0) ),
inference(superposition,[status(thm)],[c_3270,c_52]) ).
cnf(c_3306,plain,
( sk3 != sk3
| sk1(sk3) = sk1(sk3) ),
inference(instantiation,[status(thm)],[c_2606]) ).
cnf(c_3321,plain,
( sk4(sk2(sk3)) != sk2(sk3)
| equilibrium(sk3) != equilibrium(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_2707]) ).
cnf(c_3322,plain,
( growth_rate(efficient_producers,sk4(X0)) = zero
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ greater_or_equal(sk4(X0),equilibrium(sk3)) ),
inference(global_subsumption_just,[status(thm)],[c_2104,c_70,c_2104,c_3024]) ).
cnf(c_3323,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero ),
inference(renaming,[status(thm)],[c_3322]) ).
cnf(c_3325,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ in_environment(sk3,sk1(sk3))
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference(superposition,[status(thm)],[c_69,c_3323]) ).
cnf(c_3327,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater(X0,sk1(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(efficient_producers,sk4(X0)) = zero
| sk4(X0) = X0 ),
inference(superposition,[status(thm)],[c_2046,c_3323]) ).
cnf(c_3333,plain,
( sk4(sk2(sk3)) != sk2(sk3)
| sk1(sk3) != equilibrium(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_2708]) ).
cnf(c_3361,plain,
( ~ in_environment(sk3,X0)
| sk4(X0) = X0
| greater(sk4(X0),X0) ),
inference(superposition,[status(thm)],[c_69,c_51]) ).
cnf(c_3375,plain,
( sk1(sk3) = X0
| ~ in_environment(sk3,X0)
| greater(sk1(sk3),X0)
| greater(X0,sk1(sk3)) ),
inference(global_subsumption_just,[status(thm)],[c_3040,c_2121]) ).
cnf(c_3376,plain,
( ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(sk1(sk3),X0)
| greater(X0,sk1(sk3)) ),
inference(renaming,[status(thm)],[c_3375]) ).
cnf(c_3393,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X0)
| sk4(X0) = X0
| greater(sk4(X0),X1) ),
inference(superposition,[status(thm)],[c_3361,c_49]) ).
cnf(c_3412,plain,
( ~ in_environment(sk3,X0)
| ~ greater(X0,X1)
| greater(sk4(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3393,c_2886]) ).
cnf(c_3413,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X0)
| greater(sk4(X0),X1) ),
inference(renaming,[status(thm)],[c_3412]) ).
cnf(c_3415,plain,
( ~ greater(X0,X1)
| ~ in_environment(sk3,X0)
| greater_or_equal(sk4(X0),X1) ),
inference(superposition,[status(thm)],[c_3413,c_52]) ).
cnf(c_3512,plain,
( X0 != sk2(sk3)
| X1 != sk1(sk3)
| ~ greater(sk2(sk3),sk1(sk3))
| greater(X0,X1) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_3514,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ greater(sk2(sk3),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3) ),
inference(instantiation,[status(thm)],[c_3327]) ).
cnf(c_3522,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(instantiation,[status(thm)],[c_3024]) ).
cnf(c_3524,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(instantiation,[status(thm)],[c_2953]) ).
cnf(c_3525,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| ~ greater(zero,X0)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0) ),
inference(instantiation,[status(thm)],[c_2923]) ).
cnf(c_3555,plain,
( ~ greater(sk2(sk3),X0)
| ~ in_environment(sk3,sk2(sk3))
| sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| greater(sk1(sk3),X0) ),
inference(instantiation,[status(thm)],[c_2196]) ).
cnf(c_3561,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(instantiation,[status(thm)],[c_2105]) ).
cnf(c_3562,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(instantiation,[status(thm)],[c_2104]) ).
cnf(c_3566,plain,
( ~ greater(sk2(sk3),X0)
| ~ in_environment(sk3,sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),X0) ),
inference(instantiation,[status(thm)],[c_2046]) ).
cnf(c_3605,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| ~ greater(zero,zero)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(instantiation,[status(thm)],[c_3525]) ).
cnf(c_3607,plain,
( X0 != sk3
| X1 != sk2(sk3)
| ~ in_environment(sk3,sk2(sk3))
| in_environment(X0,X1) ),
inference(instantiation,[status(thm)],[c_1600]) ).
cnf(c_3664,plain,
( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),X0)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0) ),
inference(instantiation,[status(thm)],[c_1972]) ).
cnf(c_3665,plain,
( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(instantiation,[status(thm)],[c_3664]) ).
cnf(c_3713,plain,
( ~ in_environment(sk3,equilibrium(sk3))
| sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_2197]) ).
cnf(c_3794,plain,
( sk2(sk3) != X0
| X1 != X0
| X1 = sk2(sk3) ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_3807,plain,
( sk1(sk3) != sk1(sk3)
| X0 != sk2(sk3)
| ~ greater(sk2(sk3),sk1(sk3))
| greater(X0,sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_3512]) ).
cnf(c_3848,plain,
( X0 != sk2(sk3)
| sk3 != sk3
| ~ in_environment(sk3,sk2(sk3))
| in_environment(sk3,X0) ),
inference(instantiation,[status(thm)],[c_3607]) ).
cnf(c_3973,plain,
( ~ greater_or_equal(sk1(sk3),X0)
| sk1(sk3) = X0
| greater(sk1(sk3),X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3976,plain,
( sk1(sk3) != X0
| X1 != X0
| sk1(sk3) = X1 ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_4158,plain,
( X0 != growth_rate(efficient_producers,sk4(sk2(sk3)))
| X1 != growth_rate(first_movers,sk4(sk2(sk3)))
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| greater(X0,X1) ),
inference(instantiation,[status(thm)],[c_1599]) ).
cnf(c_4159,plain,
( zero != growth_rate(first_movers,sk4(sk2(sk3)))
| zero != growth_rate(efficient_producers,sk4(sk2(sk3)))
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,zero) ),
inference(instantiation,[status(thm)],[c_4158]) ).
cnf(c_4214,plain,
( ~ greater(equilibrium(sk3),X0)
| greater(sk2(sk3),X0) ),
inference(global_subsumption_just,[status(thm)],[c_1998,c_2889]) ).
cnf(c_4216,plain,
( ~ in_environment(sk3,equilibrium(sk3))
| equilibrium(sk3) = sk1(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater(sk2(sk3),sk1(sk3)) ),
inference(superposition,[status(thm)],[c_3376,c_4214]) ).
cnf(c_4256,plain,
( ~ greater(sk2(sk3),equilibrium(sk3))
| ~ in_environment(sk3,sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_3566]) ).
cnf(c_4257,plain,
( ~ greater(sk2(sk3),sk1(sk3))
| ~ in_environment(sk3,sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_3566]) ).
cnf(c_4308,plain,
( sk2(sk3) != equilibrium(sk3)
| X0 != equilibrium(sk3)
| X0 = sk2(sk3) ),
inference(instantiation,[status(thm)],[c_3794]) ).
cnf(c_4514,plain,
( equilibrium(sk3) != sk2(sk3)
| sk3 != sk3
| ~ in_environment(sk3,sk2(sk3))
| in_environment(sk3,equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_3848]) ).
cnf(c_4673,plain,
( equilibrium(sk3) = sk2(sk3)
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater(sk2(sk3),sk1(sk3)) ),
inference(global_subsumption_just,[status(thm)],[c_2738,c_66,c_279,c_2738]) ).
cnf(c_4764,plain,
equilibrium(sk3) = equilibrium(sk3),
inference(instantiation,[status(thm)],[c_1596]) ).
cnf(c_4810,plain,
( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| sk1(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(instantiation,[status(thm)],[c_3973]) ).
cnf(c_4829,plain,
( sk1(sk3) != sk1(sk3)
| X0 != sk1(sk3)
| sk1(sk3) = X0 ),
inference(instantiation,[status(thm)],[c_3976]) ).
cnf(c_5125,plain,
( ~ greater(equilibrium(sk3),sk1(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_3276]) ).
cnf(c_5542,plain,
( growth_rate(efficient_producers,sk4(sk2(sk3))) != X0
| X1 != X0
| X1 = growth_rate(efficient_producers,sk4(sk2(sk3))) ),
inference(instantiation,[status(thm)],[c_1598]) ).
cnf(c_5543,plain,
( growth_rate(efficient_producers,sk4(sk2(sk3))) != zero
| zero != zero
| zero = growth_rate(efficient_producers,sk4(sk2(sk3))) ),
inference(instantiation,[status(thm)],[c_5542]) ).
cnf(c_5564,plain,
( growth_rate(first_movers,sk4(X0)) = zero
| ~ in_environment(sk3,X0)
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ greater_or_equal(sk4(X0),equilibrium(sk3)) ),
inference(global_subsumption_just,[status(thm)],[c_2105,c_70,c_2105,c_2953]) ).
cnf(c_5565,plain,
( ~ greater_or_equal(sk4(X0),equilibrium(sk3))
| ~ greater_or_equal(sk4(X0),sk1(sk3))
| ~ in_environment(sk3,X0)
| growth_rate(first_movers,sk4(X0)) = zero ),
inference(renaming,[status(thm)],[c_5564]) ).
cnf(c_5567,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ in_environment(sk3,sk1(sk3))
| growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
inference(superposition,[status(thm)],[c_69,c_5565]) ).
cnf(c_5595,plain,
~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)),
inference(global_subsumption_just,[status(thm)],[c_5567,c_66,c_301,c_1610,c_1893,c_1892,c_1887,c_1935,c_2454,c_2467,c_2754,c_2792,c_3325,c_3665,c_5567]) ).
cnf(c_5597,plain,
( ~ greater(sk1(sk3),equilibrium(sk3))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(superposition,[status(thm)],[c_3415,c_5595]) ).
cnf(c_6798,plain,
sk4(sk2(sk3)) = sk4(sk2(sk3)),
inference(instantiation,[status(thm)],[c_1596]) ).
cnf(c_7062,plain,
( sk1(sk3) != equilibrium(sk3)
| sk2(sk3) != equilibrium(sk3)
| sk1(sk3) = sk2(sk3) ),
inference(instantiation,[status(thm)],[c_4308]) ).
cnf(c_7117,plain,
( sk4(sk2(sk3)) != sk2(sk3)
| sk1(sk3) != sk1(sk3)
| ~ greater(sk2(sk3),sk1(sk3))
| greater(sk4(sk2(sk3)),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_3807]) ).
cnf(c_8479,plain,
( ~ greater(sk2(sk3),equilibrium(sk3))
| ~ in_environment(sk3,sk2(sk3))
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater(sk2(sk3),sk1(sk3)) ),
inference(instantiation,[status(thm)],[c_3555]) ).
cnf(c_9131,plain,
( equilibrium(sk3) != sk1(sk3)
| sk1(sk3) != sk1(sk3)
| sk1(sk3) = equilibrium(sk3) ),
inference(instantiation,[status(thm)],[c_4829]) ).
cnf(c_9145,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9131,c_8479,c_7117,c_7062,c_6798,c_5597,c_5543,c_5125,c_4810,c_4764,c_4673,c_4514,c_4257,c_4256,c_4216,c_4159,c_3713,c_3514,c_3522,c_3524,c_3605,c_3561,c_3562,c_3333,c_3321,c_3306,c_2375,c_2055,c_2044,c_1994,c_1938,c_1923,c_1909,c_1878,c_1883,c_1884,c_1610,c_689,c_301,c_279,c_272,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 22:47:25 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.88/1.65 % SZS status Started for theBenchmark.p
% 7.88/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.65
% 7.88/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.88/1.65
% 7.88/1.65 ------ iProver source info
% 7.88/1.65
% 7.88/1.65 git: date: 2024-05-02 19:28:25 +0000
% 7.88/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.88/1.65 git: non_committed_changes: false
% 7.88/1.65
% 7.88/1.65 ------ Parsing...successful
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 7.88/1.65
% 7.88/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.88/1.65
% 7.88/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.88/1.65 ------ Proving...
% 7.88/1.65 ------ Problem Properties
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 clauses 15
% 7.88/1.65 conjectures 2
% 7.88/1.65 EPR 5
% 7.88/1.65 Horn 9
% 7.88/1.65 unary 4
% 7.88/1.65 binary 2
% 7.88/1.65 lits 41
% 7.88/1.65 lits eq 6
% 7.88/1.65 fd_pure 0
% 7.88/1.65 fd_pseudo 0
% 7.88/1.65 fd_cond 0
% 7.88/1.65 fd_pseudo_cond 2
% 7.88/1.65 AC symbols 0
% 7.88/1.65
% 7.88/1.65 ------ Input Options Time Limit: Unbounded
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 ------
% 7.88/1.65 Current options:
% 7.88/1.65 ------
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 ------ Proving...
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.65
% 7.88/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.88/1.65
% 7.88/1.66
%------------------------------------------------------------------------------