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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT037-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n032.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 Sep  1 19:45:20 EDT 2023

% Result   : Satisfiable 0.09s 0.34s
% Output   : Saturation 0.09s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u112,negated_conjecture,
    greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero) ).

cnf(u61,negated_conjecture,
    in_environment(sk3,sk1(sk4,sk3)) ).

cnf(u102,negated_conjecture,
    greater(sk1(sk4,sk3),appear(efficient_producers,sk3)) ).

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

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

cnf(u128,negated_conjecture,
    ( zero != number_of_organizations(sk3,sk4)
    | zero = cardinality_at_time(sk2(sk4,sk3),sk4)
    | decreases(zero) ) ).

cnf(u84,negated_conjecture,
    ( ~ greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3))
    | greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ) ).

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

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

cnf(u117,negated_conjecture,
    zero != number_of_organizations(sk3,sk1(sk4,sk3)) ).

cnf(u133,negated_conjecture,
    ~ greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3)) ).

cnf(u91,negated_conjecture,
    ( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
    | first_movers = sk2(sk1(sk4,sk3),sk3)
    | efficient_producers = sk2(sk1(sk4,sk3),sk3) ) ).

cnf(u80,negated_conjecture,
    ( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ) ).

cnf(u29,hypothesis,
    ( ~ greater(zero,growth_rate(X3,X1))
    | ~ greater(resilience(X3),resilience(X2))
    | greater(zero,growth_rate(X2,X1))
    | ~ sP0(X1) ) ).

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

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

cnf(u113,negated_conjecture,
    zero != cardinality_at_time(first_movers,sk1(sk4,sk3)) ).

cnf(u110,negated_conjecture,
    ( ~ greater(resilience(efficient_producers),resilience(X0))
    | greater(zero,growth_rate(X0,sk1(sk4,sk3))) ) ).

cnf(u92,negated_conjecture,
    greater(sk4,sk1(sk4,sk3)) ).

cnf(u85,negated_conjecture,
    ( ~ decreases(resources(sk3,sk1(sk4,sk3)))
    | ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ) ).

cnf(u43,negated_conjecture,
    ( ~ greater(appear(an_organisation,sk3),sk4)
    | zero = number_of_organizations(sk3,sk4) ) ).

cnf(u32,negated_conjecture,
    subpopulation(first_movers,sk3,sk4) ).

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

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

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

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

cnf(u125,negated_conjecture,
    ( zero != number_of_organizations(sk3,sk4)
    | zero = cardinality_at_time(first_movers,sk4) ) ).

cnf(u106,negated_conjecture,
    greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) ).

cnf(u55,negated_conjecture,
    ( ~ greater(zero,growth_rate(sk2(sk4,sk3),sk4))
    | decreases(number_of_organizations(sk3,sk4)) ) ).

cnf(u81,negated_conjecture,
    ( ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)))
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ) ).

cnf(u37,negated_conjecture,
    ( ~ decreases(resources(sk3,sk4))
    | ~ decreases(number_of_organizations(sk3,sk4)) ) ).

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

cnf(u78,negated_conjecture,
    ( ~ greater(appear(an_organisation,sk3),sk1(sk4,sk3))
    | zero = number_of_organizations(sk3,sk1(sk4,sk3)) ) ).

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

cnf(u51,negated_conjecture,
    ( ~ greater_or_equal(sk4,appear(an_organisation,sk3))
    | greater(appear(an_organisation,sk3),sk4) ) ).

cnf(u100,negated_conjecture,
    ( ~ greater(number_of_organizations(sk3,sk4),zero)
    | greater(equilibrium(sk3),sk4)
    | constant(resources(sk3,sk4)) ) ).

cnf(u30,negated_conjecture,
    sP0(sk4) ).

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

cnf(u63,negated_conjecture,
    subpopulation(first_movers,sk3,sk1(sk4,sk3)) ).

cnf(u130,negated_conjecture,
    ~ greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ).

cnf(u107,negated_conjecture,
    zero != cardinality_at_time(efficient_producers,sk1(sk4,sk3)) ).

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

cnf(u96,negated_conjecture,
    ( ~ greater(number_of_organizations(sk3,sk4),zero)
    | decreases(resources(sk3,sk4))
    | ~ greater(equilibrium(sk3),sk4) ) ).

cnf(u86,negated_conjecture,
    ( ~ constant(resources(sk3,sk1(sk4,sk3)))
    | constant(number_of_organizations(sk3,sk1(sk4,sk3))) ) ).

cnf(u45,negated_conjecture,
    ( subpopulation(sk2(sk4,sk3),sk3,sk4)
    | decreases(number_of_organizations(sk3,sk4)) ) ).

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

cnf(u79,negated_conjecture,
    ( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ) ).

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

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

cnf(u101,negated_conjecture,
    ( ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
    | greater(equilibrium(sk3),sk1(sk4,sk3))
    | constant(resources(sk3,sk1(sk4,sk3))) ) ).

cnf(u48,negated_conjecture,
    ~ greater(zero,growth_rate(efficient_producers,sk4)) ).

cnf(u41,negated_conjecture,
    ( ~ greater_or_equal(sk4,appear(an_organisation,sk3))
    | greater(number_of_organizations(sk3,sk4),zero) ) ).

cnf(u82,negated_conjecture,
    ( greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero)
    | zero = cardinality_at_time(efficient_producers,sk1(sk4,sk3)) ) ).

cnf(u64,negated_conjecture,
    subpopulation(efficient_producers,sk3,sk1(sk4,sk3)) ).

cnf(a7_47,hypothesis,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | ~ decreases(resources(X0,X1))
    | ~ 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(u104,negated_conjecture,
    greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ).

cnf(u97,negated_conjecture,
    ( ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
    | decreases(resources(sk3,sk1(sk4,sk3)))
    | ~ greater(equilibrium(sk3),sk1(sk4,sk3)) ) ).

cnf(u60,negated_conjecture,
    ( decreases(number_of_organizations(sk3,sk4))
    | efficient_producers = sk2(sk4,sk3)
    | first_movers = sk2(sk4,sk3) ) ).

cnf(u53,negated_conjecture,
    ( greater(cardinality_at_time(sk2(sk4,sk3),sk4),zero)
    | decreases(number_of_organizations(sk3,sk4)) ) ).

cnf(u34,negated_conjecture,
    subpopulation(efficient_producers,sk3,sk4) ).

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

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

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

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

cnf(u116,negated_conjecture,
    ( ~ greater(resilience(first_movers),resilience(X0))
    | greater(zero,growth_rate(X0,sk1(sk4,sk3))) ) ).

cnf(u83,negated_conjecture,
    ( ~ greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3))
    | greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ) ).

cnf(u65,negated_conjecture,
    sP0(sk1(sk4,sk3)) ).

cnf(u49,negated_conjecture,
    ~ greater(zero,zero) ).

cnf(u46,negated_conjecture,
    zero = cardinality_at_time(efficient_producers,sk4) ).

cnf(u39,negated_conjecture,
    ( ~ constant(resources(sk3,sk4))
    | constant(number_of_organizations(sk3,sk4)) ) ).

cnf(u28,hypothesis,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | sP0(X1) ) ).

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

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : MGT037-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.09  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Wed Aug 30 17:03:18 EDT 2023
% 0.09/0.28  % CPUTime    : 
% 0.09/0.33  % (30171)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.33  % (30218)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.09/0.34  % (30221)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.09/0.34  % (30220)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 Vampire---4 for (569ds/0Mi)
% 0.09/0.34  % (30219)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.09/0.34  % (30224)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 Vampire---4 for (497ds/0Mi)
% 0.09/0.34  % (30222)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 Vampire---4 for (531ds/0Mi)
% 0.09/0.34  % (30223)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 Vampire---4 for (522ds/0Mi)
% 0.09/0.34  TRYING [1]
% 0.09/0.34  TRYING [1]
% 0.09/0.34  TRYING [2]
% 0.09/0.34  TRYING [2]
% 0.09/0.34  % (30224)First to succeed.
% 0.09/0.34  TRYING [3]
% 0.09/0.34  TRYING [3]
% 0.09/0.34  % (30222)Also succeeded, but the first one will report.
% 0.09/0.34  % SZS status Satisfiable for Vampire---4
% 0.09/0.34  % (30224)# SZS output start Saturation.
% See solution above
% 0.09/0.34  % (30224)------------------------------
% 0.09/0.34  % (30224)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.09/0.34  % (30224)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.09/0.34  % (30224)Termination reason: Satisfiable
% 0.09/0.34  
% 0.09/0.34  % (30224)Memory used [KB]: 1023
% 0.09/0.34  % (30224)Time elapsed: 0.004 s
% 0.09/0.34  % (30224)------------------------------
% 0.09/0.34  % (30224)------------------------------
% 0.09/0.34  % (30171)Success in time 0.053 s
% 0.09/0.34  % Vampire---4.8 exiting
%------------------------------------------------------------------------------