TSTP Solution File: MGT037-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT037-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 00:43:35 EDT 2024

% Result   : Satisfiable 0.21s 0.39s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(a13_50,hypothesis,
    ( ~ greater(resilience(X3),resilience(X2))
    | ~ in_environment(X0,X1)
    | ~ greater(zero,growth_rate(X3,X1))
    | ~ environment(X0)
    | greater(zero,growth_rate(X2,X1)) ) ).

cnf(u33,axiom,
    ( ~ greater_or_equal(X1,appear(an_organisation,X0))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | zero = number_of_organizations(X0,X1) ) ).

cnf(u30,negated_conjecture,
    zero = cardinality_at_time(efficient_producers,sk4) ).

cnf(u42,hypothesis,
    ( ~ greater_or_equal(X1,appear(an_organisation,X0))
    | constant(resources(X0,X1))
    | greater(equilibrium(X0),X1)
    | ~ environment(X0)
    | ~ in_environment(X0,X1) ) ).

cnf(mp_empty_not_decreasing_39,axiom,
    ( ~ greater(zero,growth_rate(X0,X1))
    | zero != cardinality_at_time(X0,X1) ) ).

cnf(mp_start_of_organizations_32,axiom,
    ( ~ greater(appear(an_organisation,X0),X1)
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | zero = number_of_organizations(X0,X1) ) ).

cnf(prove_t6_51,negated_conjecture,
    environment(sk3) ).

cnf(a2_44,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)) ).

cnf(u54,axiom,
    ( ~ greater_or_equal(appear(an_organisation,X0),appear(efficient_producers,X0))
    | ~ environment(X0)
    | zero != cardinality_at_time(efficient_producers,appear(an_organisation,X0))
    | zero = number_of_organizations(X0,sk1(appear(an_organisation,X0),X0)) ) ).

cnf(u52,hypothesis,
    ( zero != cardinality_at_time(first_movers,sk1(X1,X0))
    | cardinality_at_time(efficient_producers,X1) != zero
    | ~ greater_or_equal(X1,appear(efficient_producers,X0))
    | ~ environment(X0) ) ).

cnf(u45,hypothesis,
    ( ~ in_environment(X0,sk1(X1,X2))
    | ~ environment(X0)
    | greater(zero,growth_rate(first_movers,sk1(X1,X2)))
    | cardinality_at_time(efficient_producers,X1) != zero
    | ~ greater_or_equal(X1,appear(efficient_producers,X2))
    | ~ environment(X2) ) ).

cnf(mp_constant_not_decrease_41,axiom,
    ( ~ constant(X0)
    | ~ decreases(X0) ) ).

cnf(mp_non_decreasing_34,axiom,
    ( greater(cardinality_at_time(sk2(X1,X0),X1),zero)
    | ~ in_environment(X0,X1)
    | decreases(number_of_organizations(X0,X1))
    | ~ environment(X0) ) ).

cnf(prove_t6_53,negated_conjecture,
    greater_or_equal(sk4,appear(efficient_producers,sk3)) ).

cnf(a4_46,hypothesis,
    ( ~ greater(number_of_organizations(X0,X1),zero)
    | ~ in_environment(X0,X1)
    | constant(resources(X0,X1))
    | greater(equilibrium(X0),X1)
    | ~ environment(X0) ) ).

cnf(mp_non_decreasing_35,axiom,
    ( ~ greater(zero,growth_rate(sk2(X1,X0),X1))
    | ~ in_environment(X0,X1)
    | decreases(number_of_organizations(X0,X1))
    | ~ environment(X0) ) ).

cnf(mp_previous_negative_growth_28,axiom,
    ( greater(sk1(X1,X0),appear(efficient_producers,X0))
    | cardinality_at_time(efficient_producers,X1) != zero
    | ~ greater_or_equal(X1,appear(efficient_producers,X0))
    | ~ environment(X0) ) ).

cnf(mp_subpopulations_37,axiom,
    ( subpopulation(first_movers,X0,X1)
    | ~ in_environment(X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_previous_negative_growth_30,axiom,
    ( greater(X1,sk1(X1,X0))
    | cardinality_at_time(efficient_producers,X1) != zero
    | ~ greater_or_equal(X1,appear(efficient_producers,X0))
    | ~ environment(X0) ) ).

cnf(u38,axiom,
    ( ~ in_environment(X0,sk1(appear(an_organisation,X0),X1))
    | ~ greater_or_equal(appear(an_organisation,X0),appear(efficient_producers,X1))
    | ~ environment(X1)
    | zero != cardinality_at_time(efficient_producers,appear(an_organisation,X0))
    | ~ environment(X0)
    | zero = number_of_organizations(X0,sk1(appear(an_organisation,X0),X1)) ) ).

cnf(u31,negated_conjecture,
    ~ greater(zero,zero) ).

cnf(u43,axiom,
    ( zero != cardinality_at_time(efficient_producers,sk1(X0,X1))
    | ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | ~ environment(X1)
    | zero != cardinality_at_time(efficient_producers,X0) ) ).

cnf(a7_47,hypothesis,
    ( ~ decreases(resources(X0,X1))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | ~ decreases(number_of_organizations(X0,X1)) ) ).

cnf(mp_efficient_producers_exist_40,axiom,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | cardinality_at_time(efficient_producers,X1) = zero
    | greater(cardinality_at_time(efficient_producers,X1),zero) ) ).

cnf(prove_t6_52,negated_conjecture,
    in_environment(sk3,sk4) ).

cnf(a11_49,hypothesis,
    ( ~ greater(cardinality_at_time(X1,X2),zero)
    | first_movers = X1
    | efficient_producers = X1
    | ~ subpopulation(X1,X0,X2)
    | ~ environment(X0) ) ).

cnf(mp_environment_inequality_42,axiom,
    ( greater(appear(an_organisation,X0),X1)
    | ~ in_environment(X0,X1)
    | ~ greater_or_equal(X1,appear(an_organisation,X0))
    | ~ environment(X0) ) ).

cnf(u34,hypothesis,
    ( ~ subpopulation(sk2(X0,X1),X2,X0)
    | efficient_producers = sk2(X0,X1)
    | first_movers = sk2(X0,X1)
    | ~ environment(X2)
    | ~ in_environment(X1,X0)
    | decreases(number_of_organizations(X1,X0))
    | ~ environment(X1) ) ).

cnf(u44,hypothesis,
    ( ~ greater(zero,growth_rate(efficient_producers,X1))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater(zero,growth_rate(first_movers,X1)) ) ).

cnf(mp_previous_negative_growth_31,axiom,
    ( greater(zero,growth_rate(efficient_producers,sk1(X1,X0)))
    | cardinality_at_time(efficient_producers,X1) != zero
    | ~ greater_or_equal(X1,appear(efficient_producers,X0))
    | ~ environment(X0) ) ).

cnf(prove_t6_54,negated_conjecture,
    ~ greater(cardinality_at_time(efficient_producers,sk4),zero) ).

cnf(a1_43,hypothesis,
    ( greater(number_of_organizations(X0,X1),zero)
    | ~ in_environment(X0,X1)
    | ~ greater_or_equal(X1,appear(an_organisation,X0))
    | ~ environment(X0) ) ).

cnf(mp_no_members_36,axiom,
    ( zero != number_of_organizations(X0,X1)
    | ~ in_environment(X0,X1)
    | ~ subpopulation(X2,X0,X1)
    | ~ environment(X0)
    | zero = cardinality_at_time(X2,X1) ) ).

cnf(mp_non_decreasing_33,axiom,
    ( subpopulation(sk2(X1,X0),X0,X1)
    | ~ in_environment(X0,X1)
    | decreases(number_of_organizations(X0,X1))
    | ~ environment(X0) ) ).

cnf(a4_45,hypothesis,
    ( ~ greater(number_of_organizations(X0,X1),zero)
    | ~ in_environment(X0,X1)
    | ~ greater(equilibrium(X0),X1)
    | decreases(resources(X0,X1))
    | ~ environment(X0) ) ).

cnf(u49,hypothesis,
    ( greater(zero,growth_rate(first_movers,sk1(X1,X0)))
    | ~ environment(X0)
    | cardinality_at_time(efficient_producers,X1) != zero
    | ~ greater_or_equal(X1,appear(efficient_producers,X0)) ) ).

cnf(mp_subpopulations_38,axiom,
    ( subpopulation(efficient_producers,X0,X1)
    | ~ in_environment(X0,X1)
    | ~ environment(X0) ) ).

cnf(u46,axiom,
    ( greater(cardinality_at_time(efficient_producers,sk1(X0,X1)),zero)
    | ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | ~ environment(X1)
    | zero != cardinality_at_time(efficient_producers,X0) ) ).

cnf(u51,hypothesis,
    ( decreases(number_of_organizations(X1,X0))
    | first_movers = sk2(X0,X1)
    | ~ environment(X1)
    | ~ in_environment(X1,X0)
    | efficient_producers = sk2(X0,X1) ) ).

cnf(u40,hypothesis,
    ( ~ greater_or_equal(X1,appear(an_organisation,X0))
    | ~ greater(equilibrium(X0),X1)
    | decreases(resources(X0,X1))
    | ~ environment(X0)
    | ~ in_environment(X0,X1) ) ).

cnf(a7_48,hypothesis,
    ( ~ constant(resources(X0,X1))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | constant(number_of_organizations(X0,X1)) ) ).

cnf(mp_previous_negative_growth_29,axiom,
    ( in_environment(X0,sk1(X1,X0))
    | cardinality_at_time(efficient_producers,X1) != zero
    | ~ greater_or_equal(X1,appear(efficient_producers,X0))
    | ~ environment(X0) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT037-2 : TPTP v8.2.0. Released v2.4.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 23:55:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (26546)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (26549)WARNING: value z3 for option sas not known
% 0.21/0.38  % (26549)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38  % (26548)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38  % (26547)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38  % (26550)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  % (26552)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38  % (26553)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38  % (26551)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  % (26549)First to succeed.
% 0.21/0.38  TRYING [2]
% 0.21/0.38  % (26549)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26546"
% 0.21/0.38  TRYING [2]
% 0.21/0.39  % (26553)Also succeeded, but the first one will report.
% 0.21/0.39  % (26551)Also succeeded, but the first one will report.
% 0.21/0.39  % SZS status Satisfiable for theBenchmark
% 0.21/0.39  % (26549)# SZS output start Saturation.
% See solution above
% 0.21/0.39  % (26549)------------------------------
% 0.21/0.39  % (26549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39  % (26549)Termination reason: Satisfiable
% 0.21/0.39  
% 0.21/0.39  % (26549)Memory used [KB]: 847
% 0.21/0.39  % (26549)Time elapsed: 0.007 s
% 0.21/0.39  % (26549)Instructions burned: 7 (million)
% 0.21/0.39  % (26546)Success in time 0.024 s
%------------------------------------------------------------------------------