TSTP Solution File: MGT036-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT036-3 : 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_uns --cores 0 -t %d %s

% Computer : n014.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 17:51:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   37 (  21   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,plain,
    $false,
    inference(subsumption_resolution,[],[f18,f5]) ).

fof(f5,axiom,
    environment(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_5) ).

fof(f18,plain,
    ~ environment(sk1),
    inference(resolution,[],[f17,f11]) ).

fof(f11,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(subsumption_resolution,[],[f10,f5]) ).

fof(f10,plain,
    ( subpopulations(efficient_producers,first_movers,sk1,sk2)
    | ~ environment(sk1) ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ subpopulations(X1,X2,X0,X3)
      | subpopulations(X2,X1,X0,X3)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).

fof(f6,axiom,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_6) ).

fof(f17,plain,
    ! [X0] :
      ( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
      | ~ environment(X0) ),
    inference(subsumption_resolution,[],[f16,f14]) ).

fof(f14,plain,
    ~ outcompetes(first_movers,efficient_producers,sk2),
    inference(subsumption_resolution,[],[f13,f5]) ).

fof(f13,plain,
    ( ~ environment(sk1)
    | ~ outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolution,[],[f9,f6]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ outcompetes(first_movers,efficient_producers,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_star_9) ).

fof(f16,plain,
    ! [X0] :
      ( outcompetes(first_movers,efficient_producers,sk2)
      | ~ environment(X0)
      | ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
    inference(resolution,[],[f15,f7]) ).

fof(f7,axiom,
    greater_or_equal(growth_rate(first_movers,sk2),zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_7) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(growth_rate(X0,sk2),zero)
      | ~ subpopulations(efficient_producers,X0,X1,sk2)
      | outcompetes(X0,efficient_producers,sk2)
      | ~ environment(X1) ),
    inference(resolution,[],[f2,f8]) ).

fof(f8,axiom,
    greater(zero,growth_rate(efficient_producers,sk2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_8) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ greater(zero,growth_rate(X1,X3))
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ greater_or_equal(growth_rate(X2,X3),zero)
      | outcompetes(X2,X1,X3)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 03:18:18 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (23185)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49  % (23177)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  TRYING [1]
% 0.19/0.49  TRYING [2]
% 0.19/0.49  TRYING [3]
% 0.19/0.49  TRYING [4]
% 0.19/0.49  % (23177)First to succeed.
% 0.19/0.49  % (23185)Instruction limit reached!
% 0.19/0.49  % (23185)------------------------------
% 0.19/0.49  % (23185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (23193)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (23185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (23185)Termination reason: Unknown
% 0.19/0.50  % (23185)Termination phase: Finite model building constraint generation
% 0.19/0.50  
% 0.19/0.50  % (23185)Memory used [KB]: 6012
% 0.19/0.50  % (23185)Time elapsed: 0.100 s
% 0.19/0.50  % (23185)Instructions burned: 7 (million)
% 0.19/0.50  % (23185)------------------------------
% 0.19/0.50  % (23185)------------------------------
% 0.19/0.50  % (23177)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (23177)------------------------------
% 0.19/0.50  % (23177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (23177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (23177)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (23177)Memory used [KB]: 5756
% 0.19/0.50  % (23177)Time elapsed: 0.096 s
% 0.19/0.50  % (23177)Instructions burned: 2 (million)
% 0.19/0.50  % (23177)------------------------------
% 0.19/0.50  % (23177)------------------------------
% 0.19/0.50  % (23169)Success in time 0.155 s
%------------------------------------------------------------------------------