TSTP Solution File: MGT022-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT022-1 : 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_uns --cores 0 -t %d %s

% Computer : n029.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 17:50:55 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   56 (  29   ~;  27   |;   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(f25,plain,
    $false,
    inference(unit_resulting_resolution,[],[f20,f24,f7]) ).

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

fof(f24,plain,
    ~ decreases(resources(sk1,sk2)),
    inference(subsumption_resolution,[],[f22,f20]) ).

fof(f22,plain,
    ( constant(resources(sk1,sk2))
    | ~ decreases(resources(sk1,sk2)) ),
    inference(resolution,[],[f16,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(f16,plain,
    ( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ decreases(resources(sk1,sk2)) ),
    inference(subsumption_resolution,[],[f15,f4]) ).

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

fof(f15,plain,
    ( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ decreases(resources(sk1,sk2))
    | ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
    inference(subsumption_resolution,[],[f14,f5]) ).

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

fof(f14,plain,
    ( ~ decreases(resources(sk1,sk2))
    | ~ environment(sk1)
    | increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
    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)
      | ~ decreases(resources(X0,X3))
      | ~ greater(resilience(X2),resilience(X1))
      | ~ environment(X0)
      | increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_2) ).

fof(f20,plain,
    ~ constant(resources(sk1,sk2)),
    inference(subsumption_resolution,[],[f19,f13]) ).

fof(f13,plain,
    ( ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ constant(resources(sk1,sk2)) ),
    inference(resolution,[],[f12,f1]) ).

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

fof(f12,plain,
    ( decreases(resources(sk1,sk2))
    | ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,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) ).

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

fof(f18,plain,
    ( ~ constant(resources(sk1,sk2))
    | ~ environment(sk1)
    | constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    inference(subsumption_resolution,[],[f17,f4]) ).

fof(f17,plain,
    ( ~ constant(resources(sk1,sk2))
    | ~ greater(resilience(efficient_producers),resilience(first_movers))
    | ~ environment(sk1)
    | constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    inference(resolution,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ subpopulations(X1,X2,X0,X3)
      | ~ greater(resilience(X2),resilience(X1))
      | ~ environment(X0)
      | ~ constant(resources(X0,X3))
      | constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : MGT022-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 03:22:27 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.45  % (926)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.47  % (926)First to succeed.
% 0.20/0.47  % (926)Refutation found. Thanks to Tanya!
% 0.20/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47  % (926)------------------------------
% 0.20/0.47  % (926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (926)Termination reason: Refutation
% 0.20/0.47  
% 0.20/0.47  % (926)Memory used [KB]: 1279
% 0.20/0.47  % (926)Time elapsed: 0.086 s
% 0.20/0.47  % (926)Instructions burned: 2 (million)
% 0.20/0.47  % (926)------------------------------
% 0.20/0.47  % (926)------------------------------
% 0.20/0.47  % (924)Success in time 0.119 s
%------------------------------------------------------------------------------