%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n027.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 17:51:24 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   34 (   5 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   80 (  37   ~;  37   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   7 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f24,f30,f32,f39,f43,f48,f50]) ).

fof(f50,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f49,f26,f45]) ).

fof(f45,plain,
    ( spl0_6
  <=> constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f26,plain,
    ( spl0_4
  <=> decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f49,plain,
    ( ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ spl0_4 ),
    inference(resolution,[],[f28,f1]) ).

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

fof(f28,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f48,plain,
    ( spl0_6
    | ~ spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f41,f12,f36,f45]) ).

fof(f36,plain,
    ( spl0_5
  <=> environment(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f12,plain,
    ( spl0_1
  <=> constant(resources(sk1,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f41,plain,
    ( ~ constant(resources(sk1,sk2))
    | ~ environment(sk1)
    | constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    inference(resolution,[],[f40,f6]) ).

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

fof(f40,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ constant(resources(X0,X1))
      | constant(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
    inference(resolution,[],[f3,f4]) ).

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

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

fof(f43,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f42]) ).

fof(f42,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f38,f5]) ).

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

fof(f38,plain,
    ( ~ environment(sk1)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f39,plain,
    ( ~ spl0_5
    | spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f34,f16,f21,f36]) ).

fof(f21,plain,
    ( spl0_3
  <=> increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f16,plain,
    ( spl0_2
  <=> decreases(resources(sk1,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f34,plain,
    ( ~ decreases(resources(sk1,sk2))
    | increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ environment(sk1) ),
    inference(resolution,[],[f33,f6]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ decreases(resources(X0,X1))
      | ~ environment(X0)
      | increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
    inference(resolution,[],[f2,f4]) ).

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

fof(f32,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f31,f16,f12]) ).

fof(f31,plain,
    ( ~ constant(resources(sk1,sk2))
    | ~ spl0_2 ),
    inference(resolution,[],[f18,f1]) ).

fof(f18,plain,
    ( decreases(resources(sk1,sk2))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f30,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f8,f16,f26]) ).

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

fof(f24,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f9,f12,f21]) ).

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

fof(f19,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f7,f16,f12]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n027.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 03:27:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.51  % (8160)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (8164)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)
% 0.20/0.51  % (8177)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52  % (8151)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)
% 0.20/0.52  % (8177)First to succeed.
% 0.20/0.52  % (8150)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (8177)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (8177)------------------------------
% 0.20/0.52  % (8177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8177)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (8177)Memory used [KB]: 5373
% 0.20/0.52  % (8177)Time elapsed: 0.114 s
% 0.20/0.52  % (8177)Instructions burned: 2 (million)
% 0.20/0.52  % (8177)------------------------------
% 0.20/0.52  % (8177)------------------------------
% 0.20/0.52  % (8147)Success in time 0.167 s
%------------------------------------------------------------------------------