TSTP Solution File: MGT034-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT034-1 : 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 : n006.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 17:51:29 EDT 2022

% Result   : Satisfiable 1.28s 0.51s
% Output   : Saturation 1.28s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u51,negated_conjecture,
    start_time(sk1) = appear(first_movers,sk1) ).

cnf(u56,negated_conjecture,
    greater(sk2,sF1) ).

cnf(u78,negated_conjecture,
    greater(sF0,sF1) ).

cnf(u90,negated_conjecture,
    ~ in_environment(sk1,sF1) ).

cnf(u120,negated_conjecture,
    ~ greater_or_equal(sF1,sF0) ).

cnf(u129,negated_conjecture,
    ~ greater_or_equal(sk2,sF0) ).

cnf(u134,negated_conjecture,
    ~ decreases(difference(disbanding_rate(first_movers,sF0),disbanding_rate(efficient_producers,sF0))) ).

cnf(u139,negated_conjecture,
    decreases(difference(growth_rate(first_movers,sF0),growth_rate(efficient_producers,sF0))) ).

cnf(u146,negated_conjecture,
    ~ greater(zero,difference(growth_rate(first_movers,sF0),growth_rate(efficient_producers,sF0))) ).

cnf(u151,negated_conjecture,
    greater_or_equal(difference(growth_rate(first_movers,sF0),growth_rate(efficient_producers,sF0)),zero) ).

cnf(u164,negated_conjecture,
    ~ greater(difference(growth_rate(first_movers,sF0),growth_rate(efficient_producers,sF0)),zero) ).

cnf(u169,negated_conjecture,
    zero = difference(growth_rate(first_movers,sF0),growth_rate(efficient_producers,sF0)) ).

cnf(u73,negated_conjecture,
    greater_or_equal(sF0,sF1) ).

cnf(u37,negated_conjecture,
    greater_or_equal(sF0,sk2) ).

cnf(u36,negated_conjecture,
    greater_or_equal(sk2,sF1) ).

cnf(u31,axiom,
    greater_or_equal(X1,X1) ).

cnf(u113,negated_conjecture,
    ( ~ greater_or_equal(sF0,X0)
    | ~ greater_or_equal(X0,sF0)
    | subpopulations(first_movers,efficient_producers,sk1,X0) ) ).

cnf(u103,negated_conjecture,
    ( ~ greater_or_equal(start_time(sk1),X1)
    | ~ greater_or_equal(X1,sF0)
    | in_environment(sk1,X1) ) ).

cnf(mp_decreasing_function_35,axiom,
    ( ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
    | ~ greater(X1,X2)
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | ~ greater_or_equal(X2,appear(efficient_producers,X0))
    | greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
    | ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ) ).

cnf(u100,negated_conjecture,
    ( ~ greater_or_equal(X2,start_time(sk1))
    | in_environment(sk1,X2)
    | ~ in_environment(sk1,X3)
    | ~ greater_or_equal(X3,X2) ) ).

cnf(u102,negated_conjecture,
    ( ~ greater_or_equal(X0,sF0)
    | ~ greater_or_equal(sF0,X0)
    | in_environment(sk1,X0) ) ).

cnf(mp_greater_or_equal_46,axiom,
    ( ~ greater_or_equal(X0,X1)
    | X0 = X1
    | greater(X0,X1) ) ).

cnf(u38,negated_conjecture,
    in_environment(sk1,start_time(sk1)) ).

cnf(u33,negated_conjecture,
    in_environment(sk1,sF0) ).

cnf(u101,negated_conjecture,
    ( ~ in_environment(sk1,X1)
    | ~ greater_or_equal(X0,sF0)
    | ~ greater_or_equal(X1,X0)
    | in_environment(sk1,X0) ) ).

cnf(mp_durations_are_time_intervals_41,axiom,
    ( ~ in_environment(X0,X1)
    | in_environment(X0,X3)
    | ~ greater_or_equal(X3,X1)
    | ~ environment(X0)
    | ~ greater_or_equal(X2,X3)
    | ~ in_environment(X0,X2) ) ).

cnf(mp_FM_and_EP_when_EP_appears_34,axiom,
    ( ~ in_environment(X0,appear(efficient_producers,X0))
    | subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
    | ~ environment(X0) ) ).

cnf(mp_critical_point_means_FM_and_EP_33,axiom,
    ( ~ in_environment(X0,critical_point(X0))
    | ~ environment(X0)
    | subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ) ).

cnf(u187,negated_conjecture,
    decreases(zero) ).

cnf(u97,negated_conjecture,
    decreases(difference(founding_rate(first_movers,sF0),founding_rate(efficient_producers,sF0))) ).

cnf(u160,negated_conjecture,
    ( ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
    | ~ environment(X1)
    | ~ in_environment(X1,sF0)
    | ~ greater(sF0,X0)
    | ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ) ).

cnf(mp_difference_between_founding_rates_36,axiom,
    ( ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
    | decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
    | decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ) ).

cnf(l3_32,axiom,
    ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | ~ environment(X0)
    | ~ subpopulations(first_movers,efficient_producers,X0,X1) ) ).

cnf(prove_t3_58,negated_conjecture,
    ~ selection_favors(first_movers,efficient_producers,sk2) ).

cnf(u34,negated_conjecture,
    greater(sF0,sk2) ).

cnf(u107,negated_conjecture,
    ~ greater(sF0,sF0) ).

cnf(u185,negated_conjecture,
    ~ greater(zero,zero) ).

cnf(mp_negative_growth_rate_difference_37,axiom,
    ( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
    | greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ) ).

cnf(mp_positive_growth_rate_difference_39,axiom,
    ( ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
    | greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ) ).

cnf(mp1_high_growth_rates_31,axiom,
    ( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
    | ~ subpopulations(X1,X2,X0,X3)
    | selection_favors(X2,X1,X3)
    | ~ environment(X0) ) ).

cnf(mp_positive_growth_rate_difference_40,axiom,
    ( ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
    | greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ) ).

cnf(mp_negative_growth_rate_difference_38,axiom,
    ( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
    | greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ) ).

cnf(u65,negated_conjecture,
    ~ greater(growth_rate(efficient_producers,sF0),growth_rate(first_movers,sF0)) ).

cnf(u29,hypothesis,
    ( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
    | ~ environment(X0) ) ).

cnf(mp_greater_or_equal_47,axiom,
    ( ~ greater(X0,X1)
    | greater_or_equal(X0,X1) ) ).

cnf(u70,negated_conjecture,
    subpopulations(efficient_producers,first_movers,sk1,sF0) ).

cnf(u68,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,sF0) ).

cnf(u109,negated_conjecture,
    ( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
    | ~ greater_or_equal(X1,X0)
    | ~ greater_or_equal(sF0,X1)
    | subpopulations(first_movers,efficient_producers,sk1,X1) ) ).

cnf(mp_symmetry_of_FM_and_EP_44,axiom,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | subpopulations(efficient_producers,first_movers,X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_FM_and_EP_members_EP_appeared_45,axiom,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ environment(X0)
    | greater_or_equal(X1,appear(efficient_producers,X0)) ) ).

cnf(a11_53,hypothesis,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
    | ~ environment(X0) ) ).

cnf(u30,hypothesis,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X2)
    | ~ environment(X0)
    | ~ greater(X2,critical_point(X0))
    | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ).

cnf(a10_50,hypothesis,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X2)
    | ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ greater_or_equal(X3,X1)
    | ~ greater_or_equal(X2,X3)
    | subpopulations(first_movers,efficient_producers,X0,X3)
    | ~ environment(X0) ) ).

cnf(mp_relationship_of_growth_rates_49,axiom,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
    | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
    | ~ environment(X0) ) ).

cnf(prove_t3_54,negated_conjecture,
    environment(sk1) ).

cnf(mp_opening_time_in_duration_42,axiom,
    ( ~ environment(X0)
    | in_environment(X0,start_time(X0)) ) ).

cnf(mp_no_FM_before_opening_43,axiom,
    ( ~ environment(X0)
    | greater_or_equal(appear(first_movers,X0),start_time(X0)) ) ).

cnf(u35,axiom,
    appear(efficient_producers,sk1) = sF1 ).

cnf(u32,axiom,
    critical_point(sk1) = sF0 ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT034-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n006.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   : Tue Aug 30 03:15:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (30349)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)
% 0.20/0.49  % (30352)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)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  % (30365)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)
% 0.20/0.50  % (30368)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)
% 0.20/0.51  % (30353)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (30355)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)
% 1.28/0.51  TRYING [2]
% 1.28/0.51  % (30371)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)
% 1.28/0.51  % (30353)First to succeed.
% 1.28/0.51  Finite Model Found!
% 1.28/0.51  % SZS status Satisfiable for theBenchmark
% 1.28/0.51  % (30349)Also succeeded, but the first one will report.
% 1.28/0.51  % SZS status Satisfiable for theBenchmark
% 1.28/0.51  % (30353)# SZS output start Saturation.
% See solution above
% 1.28/0.51  % (30353)------------------------------
% 1.28/0.51  % (30353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.51  % (30353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.51  % (30353)Termination reason: Satisfiable
% 1.28/0.51  
% 1.28/0.51  % (30353)Memory used [KB]: 5500
% 1.28/0.51  % (30353)Time elapsed: 0.119 s
% 1.28/0.51  % (30353)Instructions burned: 6 (million)
% 1.28/0.51  % (30353)------------------------------
% 1.28/0.51  % (30353)------------------------------
% 1.28/0.51  % (30345)Success in time 0.169 s
%------------------------------------------------------------------------------