TSTP Solution File: MGT035-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT035-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 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 : Wed Aug 31 17:51:30 EDT 2022
% Result : Unsatisfiable 1.99s 0.62s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 53
% Syntax : Number of formulae : 235 ( 15 unt; 0 def)
% Number of atoms : 618 ( 44 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 664 ( 281 ~; 349 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 43 ( 41 usr; 35 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1253,plain,
$false,
inference(avatar_sat_refutation,[],[f305,f359,f360,f377,f379,f420,f497,f517,f528,f530,f534,f548,f549,f564,f581,f585,f629,f636,f648,f694,f755,f760,f763,f764,f765,f799,f938,f954,f981,f982,f1062,f1105,f1176,f1204,f1207,f1212,f1233,f1243,f1250]) ).
fof(f1250,plain,
( spl0_38
| ~ spl0_40
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1249,plain,
( $false
| spl0_38
| ~ spl0_40
| ~ spl0_77 ),
inference(subsumption_resolution,[],[f1248,f1185]) ).
fof(f1185,plain,
( greater(zero,zero)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1184,plain,
( spl0_77
<=> greater(zero,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1248,plain,
( ~ greater(zero,zero)
| spl0_38
| ~ spl0_40 ),
inference(forward_demodulation,[],[f293,f304]) ).
fof(f304,plain,
( zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl0_40
<=> zero = growth_rate(efficient_producers,sk4(sk2(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f293,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| spl0_38 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl0_38
<=> greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1243,plain,
( spl0_77
| ~ spl0_34
| ~ spl0_37
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1242,f302,f286,f271,f1184]) ).
fof(f271,plain,
( spl0_34
<=> zero = growth_rate(first_movers,sk4(sk2(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f286,plain,
( spl0_37
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1242,plain,
( greater(zero,zero)
| ~ spl0_34
| ~ spl0_37
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1241,f304]) ).
fof(f1241,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_34
| ~ spl0_37 ),
inference(forward_demodulation,[],[f288,f273]) ).
fof(f273,plain,
( zero = growth_rate(first_movers,sk4(sk2(sk3)))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f288,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f1233,plain,
( ~ spl0_40
| spl0_42 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1232,plain,
( $false
| ~ spl0_40
| spl0_42 ),
inference(subsumption_resolution,[],[f1229,f26]) ).
fof(f26,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_26) ).
fof(f1229,plain,
( ~ greater_or_equal(zero,zero)
| ~ spl0_40
| spl0_42 ),
inference(backward_demodulation,[],[f321,f304]) ).
fof(f321,plain,
( ~ greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| spl0_42 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl0_42
<=> greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1212,plain,
( ~ spl0_3
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1211,plain,
( $false
| ~ spl0_3
| spl0_33 ),
inference(subsumption_resolution,[],[f1210,f36]) ).
fof(f36,plain,
greater_or_equal(sk2(sk3),equilibrium(sk3)),
inference(subsumption_resolution,[],[f35,f21]) ).
fof(f21,axiom,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_42) ).
fof(f35,plain,
( ~ environment(sk3)
| greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
inference(resolution,[],[f20,f22]) ).
fof(f22,axiom,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_43) ).
fof(f20,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| greater_or_equal(sk2(X0),equilibrium(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_41) ).
fof(f1210,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ spl0_3
| spl0_33 ),
inference(forward_demodulation,[],[f269,f53]) ).
fof(f53,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_3
<=> sk4(sk2(sk3)) = sk2(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f269,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| spl0_33 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl0_33
<=> greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1207,plain,
( spl0_43
| spl0_45
| spl0_44 ),
inference(avatar_split_clause,[],[f1206,f338,f342,f334]) ).
fof(f334,plain,
( spl0_43
<=> greater(sk1(sk3),sk2(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f342,plain,
( spl0_45
<=> greater(sk2(sk3),sk1(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f338,plain,
( spl0_44
<=> sk1(sk3) = sk2(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1206,plain,
( greater(sk2(sk3),sk1(sk3))
| greater(sk1(sk3),sk2(sk3))
| spl0_44 ),
inference(subsumption_resolution,[],[f426,f339]) ).
fof(f339,plain,
( sk1(sk3) != sk2(sk3)
| spl0_44 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f426,plain,
( greater(sk1(sk3),sk2(sk3))
| greater(sk2(sk3),sk1(sk3))
| sk1(sk3) = sk2(sk3) ),
inference(resolution,[],[f31,f248]) ).
fof(f248,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| sk1(sk3) = X0
| greater(sk1(sk3),X0)
| greater(X0,sk1(sk3)) ),
inference(resolution,[],[f2,f28]) ).
fof(f28,plain,
in_environment(sk3,sk1(sk3)),
inference(subsumption_resolution,[],[f27,f22]) ).
fof(f27,plain,
( in_environment(sk3,sk1(sk3))
| ~ stable(sk3) ),
inference(resolution,[],[f17,f21]) ).
fof(f17,axiom,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_38) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ in_environment(X0,X2)
| greater(X1,X2)
| ~ in_environment(X0,X1)
| X1 = X2
| greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_times_in_environment_23) ).
fof(f31,plain,
in_environment(sk3,sk2(sk3)),
inference(subsumption_resolution,[],[f30,f22]) ).
fof(f30,plain,
( in_environment(sk3,sk2(sk3))
| ~ stable(sk3) ),
inference(resolution,[],[f19,f21]) ).
fof(f19,axiom,
! [X0] :
( ~ environment(X0)
| in_environment(X0,sk2(X0))
| ~ stable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_40) ).
fof(f1204,plain,
( spl0_55
| ~ spl0_56
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1203,f465,f492,f483]) ).
fof(f483,plain,
( spl0_55
<=> outcompetes(efficient_producers,first_movers,sk4(sk1(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f492,plain,
( spl0_56
<=> greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f465,plain,
( spl0_52
<=> greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1203,plain,
( ~ greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| outcompetes(efficient_producers,first_movers,sk4(sk1(sk3)))
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f1169,f21]) ).
fof(f1169,plain,
( outcompetes(efficient_producers,first_movers,sk4(sk1(sk3)))
| ~ environment(sk3)
| ~ greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_52 ),
inference(resolution,[],[f955,f33]) ).
fof(f33,plain,
subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3))),
inference(resolution,[],[f23,f28]) ).
fof(f23,axiom,
! [X0] :
( ~ in_environment(sk3,X0)
| subpopulations(first_movers,efficient_producers,sk3,sk4(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_44) ).
fof(f955,plain,
( ! [X0,X1] :
( ~ subpopulations(first_movers,X0,X1,sk4(sk1(sk3)))
| ~ greater_or_equal(growth_rate(X0,sk4(sk1(sk3))),zero)
| outcompetes(X0,first_movers,sk4(sk1(sk3)))
| ~ environment(X1) )
| ~ spl0_52 ),
inference(resolution,[],[f467,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X1,X3))
| outcompetes(X2,X1,X3)
| ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater_or_equal(growth_rate(X2,X3),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_27) ).
fof(f467,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f1176,plain,
~ spl0_55,
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f1174,f28]) ).
fof(f1174,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ spl0_55 ),
inference(resolution,[],[f484,f25]) ).
fof(f25,axiom,
! [X0] :
( ~ outcompetes(efficient_producers,first_movers,sk4(X0))
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_46) ).
fof(f484,plain,
( outcompetes(efficient_producers,first_movers,sk4(sk1(sk3)))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f1105,plain,
( spl0_56
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1104,f455,f492]) ).
fof(f455,plain,
( spl0_50
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1104,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_50 ),
inference(resolution,[],[f457,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_25) ).
fof(f457,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f1062,plain,
( ~ spl0_5
| ~ spl0_29
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl0_5
| ~ spl0_29
| spl0_51 ),
inference(subsumption_resolution,[],[f1060,f228]) ).
fof(f228,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_29
<=> greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1060,plain,
( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_5
| spl0_51 ),
inference(forward_demodulation,[],[f461,f62]) ).
fof(f62,plain,
( sk1(sk3) = sk4(sk1(sk3))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_5
<=> sk1(sk3) = sk4(sk1(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f461,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| spl0_51 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f459,plain,
( spl0_51
<=> greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f982,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f813,f60,f64]) ).
fof(f64,plain,
( spl0_6
<=> greater(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f813,plain,
( sk1(sk3) = sk4(sk1(sk3))
| greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(resolution,[],[f29,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_24) ).
fof(f29,plain,
greater_or_equal(sk4(sk1(sk3)),sk1(sk3)),
inference(resolution,[],[f28,f24]) ).
fof(f24,axiom,
! [X0] :
( ~ in_environment(sk3,X0)
| greater_or_equal(sk4(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_45) ).
fof(f981,plain,
( spl0_50
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f976,f477,f455]) ).
fof(f477,plain,
( spl0_54
<=> greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f976,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_54 ),
inference(resolution,[],[f560,f479]) ).
fof(f479,plain,
( greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f560,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),X0)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0) ),
inference(resolution,[],[f489,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_22) ).
fof(f489,plain,
greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))),
inference(subsumption_resolution,[],[f488,f29]) ).
fof(f488,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(subsumption_resolution,[],[f487,f21]) ).
fof(f487,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(subsumption_resolution,[],[f442,f22]) ).
fof(f442,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| ~ stable(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ environment(sk3) ),
inference(resolution,[],[f33,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk1(X0))
| ~ stable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_39) ).
fof(f954,plain,
( spl0_52
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f949,f451,f465]) ).
fof(f451,plain,
( spl0_49
<=> greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f949,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_49 ),
inference(resolution,[],[f489,f942]) ).
fof(f942,plain,
( ! [X2] :
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X2)
| greater(zero,X2) )
| ~ spl0_49 ),
inference(resolution,[],[f453,f1]) ).
fof(f453,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f938,plain,
( spl0_48
| spl0_52
| spl0_49
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f937,f459,f451,f465,f447]) ).
fof(f447,plain,
( spl0_48
<=> zero = growth_rate(efficient_producers,sk4(sk1(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f937,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| zero = growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f936,f460]) ).
fof(f460,plain,
( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f936,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| zero = growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(subsumption_resolution,[],[f821,f21]) ).
fof(f821,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| zero = growth_rate(efficient_producers,sk4(sk1(sk3))) ),
inference(resolution,[],[f33,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| zero = growth_rate(efficient_producers,X1)
| ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,equilibrium(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_37) ).
fof(f799,plain,
( ~ spl0_47
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| ~ spl0_47
| spl0_51 ),
inference(subsumption_resolution,[],[f767,f780]) ).
fof(f780,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_47
| spl0_51 ),
inference(backward_demodulation,[],[f461,f399]) ).
fof(f399,plain,
( sk1(sk3) = equilibrium(sk3)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl0_47
<=> sk1(sk3) = equilibrium(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f767,plain,
( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_47 ),
inference(backward_demodulation,[],[f29,f399]) ).
fof(f765,plain,
( spl0_46
| spl0_47
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f728,f227,f397,f393]) ).
fof(f393,plain,
( spl0_46
<=> greater(sk1(sk3),equilibrium(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f728,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_29 ),
inference(resolution,[],[f228,f3]) ).
fof(f764,plain,
( spl0_46
| ~ spl0_1
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f751,f334,f42,f393]) ).
fof(f42,plain,
( spl0_1
<=> greater(sk2(sk3),equilibrium(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f751,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_1
| ~ spl0_43 ),
inference(resolution,[],[f730,f44]) ).
fof(f44,plain,
( greater(sk2(sk3),equilibrium(sk3))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f730,plain,
( ! [X0] :
( ~ greater(sk2(sk3),X0)
| greater(sk1(sk3),X0) )
| ~ spl0_43 ),
inference(resolution,[],[f336,f1]) ).
fof(f336,plain,
( greater(sk1(sk3),sk2(sk3))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f763,plain,
( spl0_52
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f762,f447,f465]) ).
fof(f762,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_48 ),
inference(forward_demodulation,[],[f489,f449]) ).
fof(f449,plain,
( zero = growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f760,plain,
( spl0_56
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f756,f471,f492]) ).
fof(f471,plain,
( spl0_53
<=> zero = growth_rate(first_movers,sk4(sk1(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f756,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_53 ),
inference(backward_demodulation,[],[f561,f473]) ).
fof(f473,plain,
( zero = growth_rate(first_movers,sk4(sk1(sk3)))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f561,plain,
greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))),
inference(resolution,[],[f489,f4]) ).
fof(f755,plain,
( ~ spl0_6
| ~ spl0_46
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f754,plain,
( $false
| ~ spl0_6
| ~ spl0_46
| spl0_51 ),
inference(subsumption_resolution,[],[f753,f461]) ).
fof(f753,plain,
( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_6
| ~ spl0_46 ),
inference(resolution,[],[f732,f4]) ).
fof(f732,plain,
( greater(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_6
| ~ spl0_46 ),
inference(resolution,[],[f395,f521]) ).
fof(f521,plain,
( ! [X0] :
( ~ greater(sk1(sk3),X0)
| greater(sk4(sk1(sk3)),X0) )
| ~ spl0_6 ),
inference(resolution,[],[f66,f1]) ).
fof(f66,plain,
( greater(sk4(sk1(sk3)),sk1(sk3))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f395,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f694,plain,
( ~ spl0_3
| ~ spl0_23
| spl0_36 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl0_3
| ~ spl0_23
| spl0_36 ),
inference(subsumption_resolution,[],[f692,f185]) ).
fof(f185,plain,
( greater_or_equal(sk2(sk3),sk1(sk3))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl0_23
<=> greater_or_equal(sk2(sk3),sk1(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f692,plain,
( ~ greater_or_equal(sk2(sk3),sk1(sk3))
| ~ spl0_3
| spl0_36 ),
inference(forward_demodulation,[],[f284,f53]) ).
fof(f284,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| spl0_36 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl0_36
<=> greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f648,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f647,f55,f51]) ).
fof(f55,plain,
( spl0_4
<=> greater(sk4(sk2(sk3)),sk2(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f647,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| spl0_4 ),
inference(subsumption_resolution,[],[f433,f56]) ).
fof(f56,plain,
( ~ greater(sk4(sk2(sk3)),sk2(sk3))
| spl0_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f433,plain,
( greater(sk4(sk2(sk3)),sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3) ),
inference(resolution,[],[f32,f3]) ).
fof(f32,plain,
greater_or_equal(sk4(sk2(sk3)),sk2(sk3)),
inference(resolution,[],[f31,f24]) ).
fof(f636,plain,
~ spl0_41,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f635,plain,
( $false
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f634,f31]) ).
fof(f634,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ spl0_41 ),
inference(resolution,[],[f317,f25]) ).
fof(f317,plain,
( outcompetes(efficient_producers,first_movers,sk4(sk2(sk3)))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl0_41
<=> outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f629,plain,
( ~ spl0_39
| spl0_41
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl0_39
| spl0_41
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f627,f21]) ).
fof(f627,plain,
( ~ environment(sk3)
| ~ spl0_39
| spl0_41
| ~ spl0_42 ),
inference(resolution,[],[f626,f126]) ).
fof(f126,plain,
subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3))),
inference(resolution,[],[f31,f23]) ).
fof(f626,plain,
( ! [X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,sk4(sk2(sk3)))
| ~ environment(X1) )
| ~ spl0_39
| spl0_41
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f617,f318]) ).
fof(f318,plain,
( ~ outcompetes(efficient_producers,first_movers,sk4(sk2(sk3)))
| spl0_41 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f617,plain,
( ! [X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,sk4(sk2(sk3)))
| ~ environment(X1)
| outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))) )
| ~ spl0_39
| ~ spl0_42 ),
inference(resolution,[],[f565,f322]) ).
fof(f322,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f565,plain,
( ! [X0,X1] :
( ~ greater_or_equal(growth_rate(X0,sk4(sk2(sk3))),zero)
| ~ environment(X1)
| outcompetes(X0,first_movers,sk4(sk2(sk3)))
| ~ subpopulations(first_movers,X0,X1,sk4(sk2(sk3))) )
| ~ spl0_39 ),
inference(resolution,[],[f300,f6]) ).
fof(f300,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl0_39
<=> greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f585,plain,
( spl0_42
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f584,f263,f320]) ).
fof(f263,plain,
( spl0_32
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f584,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_32 ),
inference(resolution,[],[f265,f4]) ).
fof(f265,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f581,plain,
( spl0_32
| ~ spl0_35
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f579,f286,f275,f263]) ).
fof(f275,plain,
( spl0_35
<=> greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f579,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_35
| ~ spl0_37 ),
inference(resolution,[],[f557,f277]) ).
fof(f277,plain,
( greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f557,plain,
( ! [X0] :
( ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),X0)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0) )
| ~ spl0_37 ),
inference(resolution,[],[f288,f1]) ).
fof(f564,plain,
( spl0_39
| ~ spl0_37
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f563,f292,f286,f298]) ).
fof(f563,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_37
| ~ spl0_38 ),
inference(resolution,[],[f554,f288]) ).
fof(f554,plain,
( ! [X2] :
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X2)
| greater(zero,X2) )
| ~ spl0_38 ),
inference(resolution,[],[f294,f1]) ).
fof(f294,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f549,plain,
( spl0_36
| ~ spl0_4
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f543,f342,f55,f282]) ).
fof(f543,plain,
( greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_4
| ~ spl0_45 ),
inference(resolution,[],[f524,f4]) ).
fof(f524,plain,
( greater(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_4
| ~ spl0_45 ),
inference(resolution,[],[f328,f344]) ).
fof(f344,plain,
( greater(sk2(sk3),sk1(sk3))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f328,plain,
( ! [X0] :
( ~ greater(sk2(sk3),X0)
| greater(sk4(sk2(sk3)),X0) )
| ~ spl0_4 ),
inference(resolution,[],[f57,f1]) ).
fof(f57,plain,
( greater(sk4(sk2(sk3)),sk2(sk3))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f548,plain,
( spl0_37
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f547,f282,f286]) ).
fof(f547,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(subsumption_resolution,[],[f546,f21]) ).
fof(f546,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(subsumption_resolution,[],[f512,f22]) ).
fof(f512,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ stable(sk3)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ environment(sk3) ),
inference(resolution,[],[f126,f18]) ).
fof(f534,plain,
( ~ spl0_33
| spl0_40
| spl0_35
| spl0_32 ),
inference(avatar_split_clause,[],[f533,f263,f275,f302,f267]) ).
fof(f533,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(subsumption_resolution,[],[f508,f21]) ).
fof(f508,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3)
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(resolution,[],[f126,f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,equilibrium(X0))
| zero = growth_rate(efficient_producers,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_34) ).
fof(f530,plain,
( spl0_34
| ~ spl0_33
| spl0_38
| spl0_39 ),
inference(avatar_split_clause,[],[f529,f298,f292,f267,f271]) ).
fof(f529,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| zero = growth_rate(first_movers,sk4(sk2(sk3))) ),
inference(subsumption_resolution,[],[f507,f21]) ).
fof(f507,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| zero = growth_rate(first_movers,sk4(sk2(sk3)))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference(resolution,[],[f126,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(zero,growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_33) ).
fof(f528,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_33 ),
inference(subsumption_resolution,[],[f526,f269]) ).
fof(f526,plain,
( greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f523,f4]) ).
fof(f523,plain,
( greater(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f328,f44]) ).
fof(f517,plain,
( spl0_23
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f516,f342,f184]) ).
fof(f516,plain,
( greater_or_equal(sk2(sk3),sk1(sk3))
| ~ spl0_45 ),
inference(resolution,[],[f344,f4]) ).
fof(f497,plain,
( spl0_54
| spl0_50
| spl0_53
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f496,f459,f471,f455,f477]) ).
fof(f496,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| zero = growth_rate(first_movers,sk4(sk1(sk3)))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
inference(subsumption_resolution,[],[f434,f21]) ).
fof(f434,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ environment(sk3)
| zero = growth_rate(first_movers,sk4(sk1(sk3)))
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
inference(resolution,[],[f33,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(growth_rate(first_movers,X1),zero)
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),zero)
| zero = growth_rate(first_movers,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_30) ).
fof(f420,plain,
( spl0_36
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| spl0_36
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f410,f29]) ).
fof(f410,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| spl0_36
| ~ spl0_44 ),
inference(backward_demodulation,[],[f284,f340]) ).
fof(f340,plain,
( sk1(sk3) = sk2(sk3)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f379,plain,
( ~ spl0_2
| spl0_29
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl0_2
| spl0_29
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f374,f229]) ).
fof(f229,plain,
( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| spl0_29 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f374,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_2
| ~ spl0_43 ),
inference(backward_demodulation,[],[f347,f48]) ).
fof(f48,plain,
( sk2(sk3) = equilibrium(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_2
<=> sk2(sk3) = equilibrium(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f347,plain,
( greater_or_equal(sk1(sk3),sk2(sk3))
| ~ spl0_43 ),
inference(resolution,[],[f336,f4]) ).
fof(f377,plain,
( ~ spl0_2
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| ~ spl0_2
| spl0_33 ),
inference(subsumption_resolution,[],[f362,f368]) ).
fof(f368,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_2
| spl0_33 ),
inference(backward_demodulation,[],[f269,f48]) ).
fof(f362,plain,
( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f32,f48]) ).
fof(f360,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f130,f42,f46]) ).
fof(f130,plain,
( greater(sk2(sk3),equilibrium(sk3))
| sk2(sk3) = equilibrium(sk3) ),
inference(resolution,[],[f36,f3]) ).
fof(f359,plain,
( ~ spl0_1
| spl0_29
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl0_1
| spl0_29
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f357,f229]) ).
fof(f357,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_1
| ~ spl0_43 ),
inference(resolution,[],[f355,f4]) ).
fof(f355,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_1
| ~ spl0_43 ),
inference(resolution,[],[f346,f44]) ).
fof(f346,plain,
( ! [X0] :
( ~ greater(sk2(sk3),X0)
| greater(sk1(sk3),X0) )
| ~ spl0_43 ),
inference(resolution,[],[f336,f1]) ).
fof(f305,plain,
( ~ spl0_33
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f296,f302,f298,f292,f267]) ).
fof(f296,plain,
( zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(subsumption_resolution,[],[f257,f21]) ).
fof(f257,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(resolution,[],[f126,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT035-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 03:18:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (24898)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48 % (24916)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.49 % (24901)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.49 % (24908)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (24900)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (24891)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.49 % (24894)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.50 % (24899)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (24896)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (24897)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (24897)Instruction limit reached!
% 0.18/0.50 % (24897)------------------------------
% 0.18/0.50 % (24897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (24897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (24897)Termination reason: Unknown
% 0.18/0.50 % (24897)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (24897)Memory used [KB]: 895
% 0.18/0.50 % (24897)Time elapsed: 0.002 s
% 0.18/0.50 % (24897)Instructions burned: 3 (million)
% 0.18/0.50 % (24897)------------------------------
% 0.18/0.50 % (24897)------------------------------
% 0.18/0.50 % (24911)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51 % (24893)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (24890)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (24889)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.51 % (24895)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (24917)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (24892)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (24890)Refutation not found, incomplete strategy% (24890)------------------------------
% 0.18/0.52 % (24890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (24905)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (24890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (24890)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (24890)Memory used [KB]: 5373
% 0.18/0.52 % (24890)Time elapsed: 0.127 s
% 0.18/0.52 % (24890)Instructions burned: 3 (million)
% 0.18/0.52 % (24890)------------------------------
% 0.18/0.52 % (24890)------------------------------
% 0.18/0.52 TRYING [1]
% 0.18/0.52 % (24902)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (24903)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52 % (24906)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (24896)Instruction limit reached!
% 0.18/0.52 % (24896)------------------------------
% 0.18/0.52 % (24896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (24918)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.52 % (24907)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (24913)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 % (24896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (24896)Termination reason: Unknown
% 0.18/0.52 % (24896)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (24896)Memory used [KB]: 5500
% 0.18/0.52 % (24896)Time elapsed: 0.124 s
% 0.18/0.52 % (24896)Instructions burned: 8 (million)
% 0.18/0.52 % (24896)------------------------------
% 0.18/0.52 % (24896)------------------------------
% 0.18/0.52 % (24910)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53 TRYING [2]
% 0.18/0.53 % (24912)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.53 % (24915)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53 TRYING [3]
% 0.18/0.53 % (24909)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53 % (24904)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53 TRYING [1]
% 0.18/0.54 TRYING [2]
% 0.18/0.54 TRYING [2]
% 0.18/0.54 % (24898)Instruction limit reached!
% 0.18/0.54 % (24898)------------------------------
% 0.18/0.54 % (24898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 TRYING [3]
% 0.18/0.54 % (24914)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54 TRYING [3]
% 0.18/0.55 TRYING [4]
% 0.18/0.56 % (24898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (24898)Termination reason: Unknown
% 0.18/0.56 % (24898)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (24898)Memory used [KB]: 1279
% 0.18/0.56 % (24898)Time elapsed: 0.145 s
% 0.18/0.56 % (24898)Instructions burned: 52 (million)
% 0.18/0.56 % (24898)------------------------------
% 0.18/0.56 % (24898)------------------------------
% 1.80/0.57 TRYING [4]
% 1.80/0.57 % (24891)Instruction limit reached!
% 1.80/0.57 % (24891)------------------------------
% 1.80/0.57 % (24891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.57 % (24891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.57 % (24891)Termination reason: Unknown
% 1.80/0.57 % (24891)Termination phase: Saturation
% 1.80/0.57
% 1.80/0.57 % (24891)Memory used [KB]: 1151
% 1.80/0.57 % (24891)Time elapsed: 0.149 s
% 1.80/0.57 % (24891)Instructions burned: 38 (million)
% 1.80/0.57 % (24891)------------------------------
% 1.80/0.57 % (24891)------------------------------
% 1.80/0.57 % (24895)Instruction limit reached!
% 1.80/0.57 % (24895)------------------------------
% 1.80/0.57 % (24895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.57 % (24895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.57 % (24895)Termination reason: Unknown
% 1.80/0.57 % (24895)Termination phase: Finite model building constraint generation
% 1.80/0.57
% 1.80/0.57 % (24895)Memory used [KB]: 6396
% 1.80/0.57 % (24895)Time elapsed: 0.139 s
% 1.80/0.57 % (24895)Instructions burned: 51 (million)
% 1.80/0.57 % (24895)------------------------------
% 1.80/0.57 % (24895)------------------------------
% 1.80/0.58 % (24894)Instruction limit reached!
% 1.80/0.58 % (24894)------------------------------
% 1.80/0.58 % (24894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58 % (24894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58 % (24894)Termination reason: Unknown
% 1.80/0.58 % (24894)Termination phase: Saturation
% 1.80/0.58
% 1.80/0.58 % (24894)Memory used [KB]: 5756
% 1.80/0.58 % (24894)Time elapsed: 0.189 s
% 1.80/0.58 % (24894)Instructions burned: 50 (million)
% 1.80/0.58 % (24894)------------------------------
% 1.80/0.58 % (24894)------------------------------
% 1.99/0.59 TRYING [4]
% 1.99/0.59 % (24893)Instruction limit reached!
% 1.99/0.59 % (24893)------------------------------
% 1.99/0.59 % (24893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.59 % (24893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.59 % (24893)Termination reason: Unknown
% 1.99/0.59 % (24893)Termination phase: Saturation
% 1.99/0.59
% 1.99/0.59 % (24893)Memory used [KB]: 6012
% 1.99/0.59 % (24893)Time elapsed: 0.214 s
% 1.99/0.59 % (24893)Instructions burned: 51 (million)
% 1.99/0.59 % (24893)------------------------------
% 1.99/0.59 % (24893)------------------------------
% 1.99/0.59 % (24917)First to succeed.
% 1.99/0.60 % (24892)Instruction limit reached!
% 1.99/0.60 % (24892)------------------------------
% 1.99/0.60 % (24892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60 % (24892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60 % (24892)Termination reason: Unknown
% 1.99/0.60 % (24892)Termination phase: Saturation
% 1.99/0.60
% 1.99/0.60 % (24892)Memory used [KB]: 5884
% 1.99/0.60 % (24892)Time elapsed: 0.198 s
% 1.99/0.60 % (24892)Instructions burned: 51 (million)
% 1.99/0.60 % (24892)------------------------------
% 1.99/0.60 % (24892)------------------------------
% 1.99/0.60 % (24899)Instruction limit reached!
% 1.99/0.60 % (24899)------------------------------
% 1.99/0.60 % (24899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60 % (24899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60 % (24899)Termination reason: Unknown
% 1.99/0.60 % (24899)Termination phase: Saturation
% 1.99/0.60
% 1.99/0.60 % (24899)Memory used [KB]: 6012
% 1.99/0.60 % (24899)Time elapsed: 0.194 s
% 1.99/0.60 % (24899)Instructions burned: 50 (million)
% 1.99/0.60 % (24899)------------------------------
% 1.99/0.60 % (24899)------------------------------
% 1.99/0.61 % (24906)Instruction limit reached!
% 1.99/0.61 % (24906)------------------------------
% 1.99/0.61 % (24906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61 % (24906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61 % (24906)Termination reason: Unknown
% 1.99/0.61 % (24906)Termination phase: Finite model building SAT solving
% 1.99/0.61
% 1.99/0.61 % (24906)Memory used [KB]: 6396
% 1.99/0.61 % (24906)Time elapsed: 0.214 s
% 1.99/0.61 % (24906)Instructions burned: 59 (million)
% 1.99/0.61 % (24906)------------------------------
% 1.99/0.61 % (24906)------------------------------
% 1.99/0.61 % (24903)Instruction limit reached!
% 1.99/0.61 % (24903)------------------------------
% 1.99/0.61 % (24903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61 % (24903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61 % (24903)Termination reason: Unknown
% 1.99/0.61 % (24903)Termination phase: Saturation
% 1.99/0.61
% 1.99/0.61 % (24903)Memory used [KB]: 6140
% 1.99/0.61 % (24903)Time elapsed: 0.031 s
% 1.99/0.61 % (24903)Instructions burned: 69 (million)
% 1.99/0.61 % (24903)------------------------------
% 1.99/0.61 % (24903)------------------------------
% 1.99/0.62 % (24917)Refutation found. Thanks to Tanya!
% 1.99/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.99/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.62 % (24917)------------------------------
% 1.99/0.62 % (24917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62 % (24917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62 % (24917)Termination reason: Refutation
% 1.99/0.62
% 1.99/0.62 % (24917)Memory used [KB]: 6012
% 1.99/0.62 % (24917)Time elapsed: 0.214 s
% 1.99/0.62 % (24917)Instructions burned: 41 (million)
% 1.99/0.62 % (24917)------------------------------
% 1.99/0.62 % (24917)------------------------------
% 1.99/0.62 % (24888)Success in time 0.272 s
%------------------------------------------------------------------------------