TSTP Solution File: MGT022-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT022-2 : 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 : n010.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 17:50:56 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   51 (  25   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(global_subsumption,[],[f12,f22,f32]) ).

fof(f32,plain,
    constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
    inference(subsumption_resolution,[],[f31,f4]) ).

fof(f4,axiom,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_4) ).

fof(f31,plain,
    ( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
    inference(subsumption_resolution,[],[f30,f5]) ).

fof(f5,axiom,
    environment(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_5) ).

fof(f30,plain,
    ( ~ environment(sk1)
    | ~ greater(resilience(efficient_producers),resilience(first_movers))
    | constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    inference(subsumption_resolution,[],[f26,f21]) ).

fof(f21,plain,
    constant(resources(sk1,sk2)),
    inference(subsumption_resolution,[],[f20,f9]) ).

fof(f9,axiom,
    ( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | constant(resources(sk1,sk2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_9) ).

fof(f20,plain,
    ( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | constant(resources(sk1,sk2)) ),
    inference(resolution,[],[f19,f7]) ).

fof(f7,axiom,
    ( decreases(resources(sk1,sk2))
    | constant(resources(sk1,sk2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_7) ).

fof(f19,plain,
    ( ~ decreases(resources(sk1,sk2))
    | increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    inference(subsumption_resolution,[],[f18,f5]) ).

fof(f18,plain,
    ( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ environment(sk1)
    | ~ decreases(resources(sk1,sk2)) ),
    inference(subsumption_resolution,[],[f13,f4]) ).

fof(f13,plain,
    ( ~ greater(resilience(efficient_producers),resilience(first_movers))
    | ~ environment(sk1)
    | increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ decreases(resources(sk1,sk2)) ),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_6) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0)
      | ~ decreases(resources(X0,X3))
      | ~ greater(resilience(X2),resilience(X1))
      | increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_2) ).

fof(f26,plain,
    ( ~ constant(resources(sk1,sk2))
    | ~ environment(sk1)
    | constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
    inference(resolution,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ constant(resources(X0,X3))
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0)
      | ~ greater(resilience(X2),resilience(X1))
      | constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_3) ).

fof(f22,plain,
    ~ decreases(resources(sk1,sk2)),
    inference(resolution,[],[f21,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ constant(X0)
      | ~ decreases(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).

fof(f12,plain,
    ( ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | decreases(resources(sk1,sk2)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,axiom,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | decreases(resources(sk1,sk2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 03:04:59 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (20747)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.49  % (20734)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.49  % (20734)First to succeed.
% 0.21/0.49  % (20734)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (20734)------------------------------
% 0.21/0.50  % (20734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (20734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (20734)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (20734)Memory used [KB]: 5884
% 0.21/0.50  % (20734)Time elapsed: 0.092 s
% 0.21/0.50  % (20734)Instructions burned: 2 (million)
% 0.21/0.50  % (20734)------------------------------
% 0.21/0.50  % (20734)------------------------------
% 0.21/0.50  % (20720)Success in time 0.138 s
%------------------------------------------------------------------------------