TSTP Solution File: MGT027-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 02:43:25 EDT 2024

% Result   : Unsatisfiable 2.65s 1.19s
% Output   : CNFRefutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   85 (  12 unt;  13 nHn;  84 RR)
%            Number of literals    :  313 (  39 equ; 225 neg)
%            Maximal clause size   :   12 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   98 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | ~ stable(X0)
    | greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero)
    | contracts_from(X1,first_movers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_24) ).

cnf(c_50,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | ~ stable(X0)
    | greater_or_equal(sk1(X1,X0),X1)
    | contracts_from(X1,first_movers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_25) ).

cnf(c_51,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(X0,X1)))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | ~ stable(X1)
    | contracts_from(X0,first_movers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_26) ).

cnf(c_52,plain,
    ( ~ greater(cardinality_at_time(first_movers,X0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X0),zero)
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | subpopulations(first_movers,efficient_producers,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_27) ).

cnf(c_53,plain,
    ( ~ in_environment(X0,X1)
    | ~ greater(X2,X1)
    | ~ environment(X0)
    | ~ stable(X0)
    | in_environment(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments_28) ).

cnf(c_54,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | in_environment(X0,appear(efficient_producers,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_in_stable_environments_29) ).

cnf(c_55,plain,
    ( ~ greater(X0,X1)
    | ~ greater(X1,X2)
    | greater(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).

cnf(c_56,plain,
    ( ~ greater_or_equal(X0,X1)
    | X0 = X1
    | greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).

cnf(c_57,plain,
    ( ~ greater(X0,X1)
    | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).

cnf(c_58,plain,
    ( X0 != X1
    | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).

cnf(c_59,plain,
    ( ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | greater(cardinality_at_time(efficient_producers,X0),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_34) ).

cnf(c_60,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | greater(sk2(X0),appear(efficient_producers,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_35) ).

cnf(c_61,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ greater_or_equal(X1,sk2(X0))
    | ~ environment(X0)
    | ~ stable(X0)
    | greater(zero,growth_rate(first_movers,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_36) ).

cnf(c_62,negated_conjecture,
    environment(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_37) ).

cnf(c_63,negated_conjecture,
    stable(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_38) ).

cnf(c_64,negated_conjecture,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ contracts_from(X0,first_movers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_39) ).

cnf(c_65,plain,
    greater_or_equal(X0,X0),
    inference(unflattening,[status(thm)],[c_58]) ).

cnf(c_295,plain,
    ( X0 != X1
    | X2 != X3
    | first_movers != first_movers
    | efficient_producers != efficient_producers
    | ~ greater(cardinality_at_time(first_movers,X3),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X3),zero)
    | ~ greater_or_equal(X2,sk2(X0))
    | ~ in_environment(X1,X3)
    | ~ environment(X0)
    | ~ environment(X1)
    | ~ stable(X0)
    | greater(zero,growth_rate(first_movers,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_52]) ).

cnf(c_296,plain,
    ( ~ greater(cardinality_at_time(first_movers,X0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X0),zero)
    | ~ greater_or_equal(X0,sk2(X1))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | ~ stable(X1)
    | greater(zero,growth_rate(first_movers,X0)) ),
    inference(unflattening,[status(thm)],[c_295]) ).

cnf(c_326,plain,
    ( X0 != X1
    | first_movers != first_movers
    | ~ greater(zero,growth_rate(first_movers,sk1(X0,X2)))
    | ~ greater(X1,appear(efficient_producers,sk3))
    | ~ in_environment(X2,X0)
    | ~ environment(X2)
    | ~ stable(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_64]) ).

cnf(c_327,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(X0,X1)))
    | ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | ~ stable(X1) ),
    inference(unflattening,[status(thm)],[c_326]) ).

cnf(c_344,plain,
    ( X0 != X1
    | first_movers != first_movers
    | ~ greater(X1,appear(efficient_producers,sk3))
    | ~ in_environment(X2,X0)
    | ~ environment(X2)
    | ~ stable(X2)
    | greater_or_equal(sk1(X0,X2),X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_64]) ).

cnf(c_345,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | ~ stable(X1)
    | greater_or_equal(sk1(X0,X1),X0) ),
    inference(unflattening,[status(thm)],[c_344]) ).

cnf(c_362,plain,
    ( X0 != X1
    | first_movers != first_movers
    | ~ greater(X1,appear(efficient_producers,sk3))
    | ~ in_environment(X2,X0)
    | ~ environment(X2)
    | ~ stable(X2)
    | greater(cardinality_at_time(first_movers,sk1(X0,X2)),zero) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_64]) ).

cnf(c_363,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | ~ stable(X1)
    | greater(cardinality_at_time(first_movers,sk1(X0,X1)),zero) ),
    inference(unflattening,[status(thm)],[c_362]) ).

cnf(c_395,plain,
    ( X0 != sk3
    | ~ environment(X0)
    | greater(sk2(X0),appear(efficient_producers,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_63]) ).

cnf(c_396,plain,
    ( ~ environment(sk3)
    | greater(sk2(sk3),appear(efficient_producers,sk3)) ),
    inference(unflattening,[status(thm)],[c_395]) ).

cnf(c_397,plain,
    greater(sk2(sk3),appear(efficient_producers,sk3)),
    inference(global_subsumption_just,[status(thm)],[c_396,c_62,c_396]) ).

cnf(c_402,plain,
    ( X0 != sk3
    | ~ environment(X0)
    | in_environment(X0,appear(efficient_producers,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_63]) ).

cnf(c_403,plain,
    ( ~ environment(sk3)
    | in_environment(sk3,appear(efficient_producers,sk3)) ),
    inference(unflattening,[status(thm)],[c_402]) ).

cnf(c_404,plain,
    in_environment(sk3,appear(efficient_producers,sk3)),
    inference(global_subsumption_just,[status(thm)],[c_403,c_62,c_403]) ).

cnf(c_409,plain,
    ( X0 != sk3
    | ~ in_environment(X0,X1)
    | ~ greater(X2,X1)
    | ~ environment(X0)
    | in_environment(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_63]) ).

cnf(c_410,plain,
    ( ~ greater(X0,X1)
    | ~ in_environment(sk3,X1)
    | ~ environment(sk3)
    | in_environment(sk3,X0) ),
    inference(unflattening,[status(thm)],[c_409]) ).

cnf(c_411,plain,
    ( ~ in_environment(sk3,X1)
    | ~ greater(X0,X1)
    | in_environment(sk3,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_62,c_410]) ).

cnf(c_412,plain,
    ( ~ greater(X0,X1)
    | ~ in_environment(sk3,X1)
    | in_environment(sk3,X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

cnf(c_422,plain,
    ( X0 != sk3
    | ~ greater(X1,appear(efficient_producers,sk3))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero) ),
    inference(resolution_lifted,[status(thm)],[c_363,c_63]) ).

cnf(c_423,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | ~ environment(sk3)
    | greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero) ),
    inference(unflattening,[status(thm)],[c_422]) ).

cnf(c_425,plain,
    ( ~ in_environment(sk3,X0)
    | ~ greater(X0,appear(efficient_producers,sk3))
    | greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero) ),
    inference(global_subsumption_just,[status(thm)],[c_423,c_62,c_423]) ).

cnf(c_426,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero) ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_437,plain,
    ( X0 != sk3
    | ~ greater(X1,appear(efficient_producers,sk3))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater_or_equal(sk1(X1,X0),X1) ),
    inference(resolution_lifted,[status(thm)],[c_345,c_63]) ).

cnf(c_438,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | ~ environment(sk3)
    | greater_or_equal(sk1(X0,sk3),X0) ),
    inference(unflattening,[status(thm)],[c_437]) ).

cnf(c_440,plain,
    ( ~ in_environment(sk3,X0)
    | ~ greater(X0,appear(efficient_producers,sk3))
    | greater_or_equal(sk1(X0,sk3),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_62,c_438]) ).

cnf(c_441,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | greater_or_equal(sk1(X0,sk3),X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_452,plain,
    ( X0 != sk3
    | ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
    | ~ greater(X1,appear(efficient_producers,sk3))
    | ~ in_environment(X0,X1)
    | ~ environment(X0) ),
    inference(resolution_lifted,[status(thm)],[c_327,c_63]) ).

cnf(c_453,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
    | ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | ~ environment(sk3) ),
    inference(unflattening,[status(thm)],[c_452]) ).

cnf(c_455,plain,
    ( ~ in_environment(sk3,X0)
    | ~ greater(X0,appear(efficient_producers,sk3))
    | ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3))) ),
    inference(global_subsumption_just,[status(thm)],[c_453,c_62,c_453]) ).

cnf(c_456,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
    | ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

cnf(c_467,plain,
    ( X0 != sk3
    | ~ greater(cardinality_at_time(first_movers,X1),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ greater_or_equal(X1,sk2(X0))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater(zero,growth_rate(first_movers,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_296,c_63]) ).

cnf(c_468,plain,
    ( ~ greater(cardinality_at_time(first_movers,X0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X0),zero)
    | ~ greater_or_equal(X0,sk2(sk3))
    | ~ in_environment(sk3,X0)
    | ~ environment(sk3)
    | greater(zero,growth_rate(first_movers,X0)) ),
    inference(unflattening,[status(thm)],[c_467]) ).

cnf(c_470,plain,
    ( ~ in_environment(sk3,X0)
    | ~ greater_or_equal(X0,sk2(sk3))
    | ~ greater(cardinality_at_time(efficient_producers,X0),zero)
    | ~ greater(cardinality_at_time(first_movers,X0),zero)
    | greater(zero,growth_rate(first_movers,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_468,c_62,c_468]) ).

cnf(c_471,plain,
    ( ~ greater(cardinality_at_time(first_movers,X0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X0),zero)
    | ~ greater_or_equal(X0,sk2(sk3))
    | ~ in_environment(sk3,X0)
    | greater(zero,growth_rate(first_movers,X0)) ),
    inference(renaming,[status(thm)],[c_470]) ).

cnf(c_507,plain,
    ( X0 != sk3
    | ~ greater_or_equal(X1,appear(efficient_producers,X0))
    | ~ in_environment(X0,X1)
    | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_62]) ).

cnf(c_508,plain,
    ( ~ greater_or_equal(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(unflattening,[status(thm)],[c_507]) ).

cnf(c_526,plain,
    ( sk1(X0,sk3) != X1
    | X0 != X2
    | ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | X1 = X2
    | greater(X1,X2) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_441]) ).

cnf(c_527,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | sk1(X0,sk3) = X0
    | greater(sk1(X0,sk3),X0) ),
    inference(unflattening,[status(thm)],[c_526]) ).

cnf(c_559,plain,
    ( appear(efficient_producers,sk3) != X2
    | X0 != X1
    | ~ greater(X0,X2)
    | ~ in_environment(sk3,X1)
    | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_508]) ).

cnf(c_560,plain,
    ( ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(unflattening,[status(thm)],[c_559]) ).

cnf(c_571,plain,
    ( sk2(sk3) != X0
    | X0 != X1
    | ~ greater(cardinality_at_time(first_movers,X1),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ in_environment(sk3,X1)
    | greater(zero,growth_rate(first_movers,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_471]) ).

cnf(c_572,plain,
    ( ~ greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
    | ~ greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)
    | ~ in_environment(sk3,sk2(sk3))
    | greater(zero,growth_rate(first_movers,sk2(sk3))) ),
    inference(unflattening,[status(thm)],[c_571]) ).

cnf(c_592,plain,
    ( sk1(X0,sk3) != X1
    | sk2(sk3) != X0
    | ~ greater(cardinality_at_time(first_movers,X1),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ greater(X0,appear(efficient_producers,sk3))
    | ~ in_environment(sk3,X0)
    | ~ in_environment(sk3,X1)
    | greater(zero,growth_rate(first_movers,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_441,c_471]) ).

cnf(c_593,plain,
    ( ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
    | ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
    | ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | ~ greater(sk2(sk3),appear(efficient_producers,sk3))
    | ~ in_environment(sk3,sk2(sk3))
    | greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
    inference(unflattening,[status(thm)],[c_592]) ).

cnf(c_594,plain,
    ( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
    | ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
    | ~ in_environment(sk3,sk2(sk3))
    | greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
    inference(global_subsumption_just,[status(thm)],[c_593,c_62,c_396,c_593]) ).

cnf(c_595,plain,
    ( ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
    | ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
    | ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | ~ in_environment(sk3,sk2(sk3))
    | greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
    inference(renaming,[status(thm)],[c_594]) ).

cnf(c_1088,plain,
    ( ~ in_environment(sk3,appear(efficient_producers,sk3))
    | in_environment(sk3,sk2(sk3)) ),
    inference(superposition,[status(thm)],[c_397,c_412]) ).

cnf(c_1089,plain,
    in_environment(sk3,sk2(sk3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1088,c_404]) ).

cnf(c_1158,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero) ),
    inference(superposition,[status(thm)],[c_397,c_560]) ).

cnf(c_1160,plain,
    greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero),
    inference(forward_subsumption_resolution,[status(thm)],[c_1158,c_1089]) ).

cnf(c_1276,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | sk1(sk2(sk3),sk3) = sk2(sk3)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
    inference(superposition,[status(thm)],[c_397,c_527]) ).

cnf(c_1280,plain,
    ( sk1(sk2(sk3),sk3) = sk2(sk3)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1276,c_1089]) ).

cnf(c_1428,plain,
    ( ~ greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
    | greater(zero,growth_rate(first_movers,sk2(sk3))) ),
    inference(global_subsumption_just,[status(thm)],[c_572,c_572,c_1089,c_1160]) ).

cnf(c_1568,plain,
    ( ~ greater(sk2(sk3),X0)
    | sk1(sk2(sk3),sk3) = sk2(sk3)
    | greater(sk1(sk2(sk3),sk3),X0) ),
    inference(superposition,[status(thm)],[c_1280,c_55]) ).

cnf(c_1569,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | sk1(sk2(sk3),sk3) = sk2(sk3)
    | in_environment(sk3,sk1(sk2(sk3),sk3)) ),
    inference(superposition,[status(thm)],[c_1280,c_412]) ).

cnf(c_1571,plain,
    ( sk1(sk2(sk3),sk3) = sk2(sk3)
    | in_environment(sk3,sk1(sk2(sk3),sk3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1569,c_1089]) ).

cnf(c_1681,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
    | ~ greater(sk2(sk3),appear(efficient_producers,sk3))
    | ~ in_environment(sk3,sk2(sk3)) ),
    inference(instantiation,[status(thm)],[c_456]) ).

cnf(c_1682,plain,
    ( ~ greater(sk2(sk3),appear(efficient_producers,sk3))
    | ~ in_environment(sk3,sk2(sk3))
    | greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero) ),
    inference(instantiation,[status(thm)],[c_426]) ).

cnf(c_1894,plain,
    ( ~ greater(sk2(sk3),X0)
    | ~ greater(X0,X1)
    | sk1(sk2(sk3),sk3) = sk2(sk3)
    | greater(sk1(sk2(sk3),sk3),X1) ),
    inference(superposition,[status(thm)],[c_1568,c_55]) ).

cnf(c_1898,plain,
    ( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | ~ greater(sk2(sk3),appear(efficient_producers,sk3))
    | sk1(sk2(sk3),sk3) = sk2(sk3)
    | greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
    inference(superposition,[status(thm)],[c_1568,c_560]) ).

cnf(c_1911,plain,
    ( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | sk1(sk2(sk3),sk3) = sk2(sk3)
    | greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1898,c_397]) ).

cnf(c_1947,plain,
    sk1(sk2(sk3),sk3) = sk2(sk3),
    inference(global_subsumption_just,[status(thm)],[c_1894,c_62,c_396,c_595,c_1089,c_1571,c_1682,c_1681,c_1911]) ).

cnf(c_1955,plain,
    ( ~ greater(sk2(sk3),appear(efficient_producers,sk3))
    | ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ in_environment(sk3,sk2(sk3)) ),
    inference(superposition,[status(thm)],[c_1947,c_456]) ).

cnf(c_1956,plain,
    ( ~ greater(sk2(sk3),appear(efficient_producers,sk3))
    | ~ in_environment(sk3,sk2(sk3))
    | greater(cardinality_at_time(first_movers,sk2(sk3)),zero) ),
    inference(superposition,[status(thm)],[c_1947,c_426]) ).

cnf(c_1957,plain,
    greater(cardinality_at_time(first_movers,sk2(sk3)),zero),
    inference(forward_subsumption_resolution,[status(thm)],[c_1956,c_1089,c_397]) ).

cnf(c_1961,plain,
    ~ greater(zero,growth_rate(first_movers,sk2(sk3))),
    inference(forward_subsumption_resolution,[status(thm)],[c_1955,c_1089,c_397]) ).

cnf(c_1974,plain,
    greater(zero,growth_rate(first_movers,sk2(sk3))),
    inference(backward_subsumption_resolution,[status(thm)],[c_1428,c_1957]) ).

cnf(c_1975,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1974,c_1961]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 22:50:27 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 2.65/1.19  % SZS status Started for theBenchmark.p
% 2.65/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.65/1.19  
% 2.65/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.65/1.19  
% 2.65/1.19  ------  iProver source info
% 2.65/1.19  
% 2.65/1.19  git: date: 2024-05-02 19:28:25 +0000
% 2.65/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.65/1.19  git: non_committed_changes: false
% 2.65/1.19  
% 2.65/1.19  ------ Parsing...successful
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 6 0s  sf_e  pe_s  pe_e 
% 2.65/1.19  
% 2.65/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.65/1.19  
% 2.65/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.65/1.19  ------ Proving...
% 2.65/1.19  ------ Problem Properties 
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  clauses                                 13
% 2.65/1.19  conjectures                             0
% 2.65/1.19  EPR                                     2
% 2.65/1.19  Horn                                    12
% 2.65/1.19  unary                                   3
% 2.65/1.19  binary                                  0
% 2.65/1.19  lits                                    39
% 2.65/1.19  lits eq                                 1
% 2.65/1.19  fd_pure                                 0
% 2.65/1.19  fd_pseudo                               0
% 2.65/1.19  fd_cond                                 0
% 2.65/1.19  fd_pseudo_cond                          0
% 2.65/1.19  AC symbols                              0
% 2.65/1.19  
% 2.65/1.19  ------ Schedule dynamic 5 is on 
% 2.65/1.19  
% 2.65/1.19  ------ no conjectures: strip conj schedule 
% 2.65/1.19  
% 2.65/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  ------ 
% 2.65/1.19  Current options:
% 2.65/1.19  ------ 
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  ------ Proving...
% 2.65/1.19  
% 2.65/1.19  
% 2.65/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.65/1.19  
% 2.65/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.65/1.19  
% 2.65/1.19  
%------------------------------------------------------------------------------