TSTP Solution File: MGT011-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT011-1 : 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 : n017.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 17:50:52 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   48 (  10 unt;   0 def)
%            Number of atoms       :  156 (   6 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  222 ( 114   ~; 106   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,plain,
    $false,
    inference(avatar_sat_refutation,[],[f62,f65,f71]) ).

fof(f71,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f70]) ).

fof(f70,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f69,f9]) ).

fof(f9,axiom,
    organization(sk3,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_28) ).

fof(f69,plain,
    ( ~ organization(sk3,sk7)
    | ~ spl0_1 ),
    inference(resolution,[],[f68,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( inertia(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_20) ).

fof(f68,plain,
    ( ! [X0] : ~ inertia(sk3,X0,sk7)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f67,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ greater(sk1(sk6,sk3),X0)
      | ~ inertia(sk3,X0,sk7) ),
    inference(resolution,[],[f38,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_22) ).

fof(f38,plain,
    ! [X0] :
      ( greater(X0,sk1(sk6,sk3))
      | ~ inertia(sk3,X0,sk7) ),
    inference(subsumption_resolution,[],[f37,f8]) ).

fof(f8,axiom,
    organization(sk3,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_27) ).

fof(f37,plain,
    ! [X0] :
      ( greater(X0,sk1(sk6,sk3))
      | ~ inertia(sk3,X0,sk7)
      | ~ organization(sk3,sk6) ),
    inference(resolution,[],[f24,f1]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X1,sk6)
      | greater(X0,X1)
      | ~ inertia(sk3,X0,sk7) ),
    inference(subsumption_resolution,[],[f23,f13]) ).

fof(f13,axiom,
    greater(sk7,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_32) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X0,sk7)
      | ~ inertia(sk3,X1,sk6)
      | greater(X0,X1)
      | ~ greater(sk7,sk6) ),
    inference(subsumption_resolution,[],[f22,f8]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | ~ inertia(sk3,X1,sk6)
      | ~ inertia(sk3,X0,sk7)
      | ~ organization(sk3,sk6)
      | ~ greater(sk7,sk6) ),
    inference(subsumption_resolution,[],[f21,f9]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ organization(sk3,sk7)
      | ~ organization(sk3,sk6)
      | ~ inertia(sk3,X0,sk7)
      | greater(X0,X1)
      | ~ greater(sk7,sk6)
      | ~ inertia(sk3,X1,sk6) ),
    inference(resolution,[],[f7,f10]) ).

fof(f10,axiom,
    reorganization_free(sk3,sk6,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_29) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reorganization_free(X0,X1,X2)
      | ~ greater(X2,X1)
      | greater(X4,X3)
      | ~ inertia(X0,X4,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1)
      | ~ inertia(X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_26) ).

fof(f67,plain,
    ( ! [X0] :
        ( ~ inertia(sk3,X0,sk7)
        | greater(sk1(sk6,sk3),X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f66,f8]) ).

fof(f66,plain,
    ( ! [X0] :
        ( ~ organization(sk3,sk6)
        | greater(sk1(sk6,sk3),X0)
        | ~ inertia(sk3,X0,sk7) )
    | ~ spl0_1 ),
    inference(resolution,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X3,X5] :
        ( ~ inertia(sk3,X5,sk6)
        | ~ inertia(sk3,X3,sk7)
        | greater(X5,X3) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_1
  <=> ! [X5,X3] :
        ( greater(X5,X3)
        | ~ inertia(sk3,X3,sk7)
        | ~ inertia(sk3,X5,sk6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f65,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f63,f9]) ).

fof(f63,plain,
    ( ~ organization(sk3,sk7)
    | ~ spl0_2 ),
    inference(resolution,[],[f61,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( class(X0,sk2(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp9_23) ).

fof(f61,plain,
    ( ! [X4] : ~ class(sk3,X4,sk7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_2
  <=> ! [X4] : ~ class(sk3,X4,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f62,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f46,f60,f57]) ).

fof(f46,plain,
    ! [X3,X4,X5] :
      ( ~ class(sk3,X4,sk7)
      | greater(X5,X3)
      | ~ inertia(sk3,X5,sk6)
      | ~ inertia(sk3,X3,sk7) ),
    inference(subsumption_resolution,[],[f45,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ class(sk3,X0,sk7)
      | class(sk3,X0,sk6) ),
    inference(subsumption_resolution,[],[f32,f8]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ class(sk3,X0,sk7)
      | ~ organization(sk3,sk6)
      | class(sk3,X0,sk6) ),
    inference(superposition,[],[f4,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( sk2(sk6,sk3) = X0
      | ~ class(sk3,X0,sk7) ),
    inference(subsumption_resolution,[],[f29,f8]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ organization(sk3,sk6)
      | sk2(sk6,sk3) = X0
      | ~ class(sk3,X0,sk7) ),
    inference(resolution,[],[f20,f4]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ class(sk3,X1,sk6)
      | X0 = X1
      | ~ class(sk3,X0,sk7) ),
    inference(subsumption_resolution,[],[f19,f9]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ class(sk3,X0,sk7)
      | ~ organization(sk3,sk7)
      | X0 = X1
      | ~ class(sk3,X1,sk6) ),
    inference(subsumption_resolution,[],[f18,f8]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ class(sk3,X1,sk6)
      | ~ class(sk3,X0,sk7)
      | ~ organization(sk3,sk6)
      | X0 = X1
      | ~ organization(sk3,sk7) ),
    inference(resolution,[],[f10,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reorganization_free(X0,X1,X2)
      | ~ class(X0,X4,X2)
      | ~ class(X0,X3,X1)
      | X3 = X4
      | ~ organization(X0,X2)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp10_24) ).

fof(f45,plain,
    ! [X3,X4,X5] :
      ( greater(X5,X3)
      | ~ inertia(sk3,X5,sk6)
      | ~ class(sk3,X4,sk6)
      | ~ class(sk3,X4,sk7)
      | ~ inertia(sk3,X3,sk7) ),
    inference(subsumption_resolution,[],[f44,f9]) ).

fof(f44,plain,
    ! [X3,X4,X5] :
      ( ~ inertia(sk3,X3,sk7)
      | greater(X5,X3)
      | ~ class(sk3,X4,sk7)
      | ~ class(sk3,X4,sk6)
      | ~ inertia(sk3,X5,sk6)
      | ~ organization(sk3,sk7) ),
    inference(subsumption_resolution,[],[f42,f14]) ).

fof(f14,axiom,
    greater(sk4,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_33) ).

fof(f42,plain,
    ! [X3,X4,X5] :
      ( ~ inertia(sk3,X5,sk6)
      | greater(X5,X3)
      | ~ greater(sk4,sk5)
      | ~ organization(sk3,sk7)
      | ~ class(sk3,X4,sk6)
      | ~ class(sk3,X4,sk7)
      | ~ inertia(sk3,X3,sk7) ),
    inference(resolution,[],[f27,f12]) ).

fof(f12,axiom,
    size(sk3,sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_31) ).

fof(f27,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ size(X1,X5,X2)
      | ~ inertia(X1,X3,X2)
      | ~ greater(sk4,X5)
      | ~ class(X1,X0,X2)
      | greater(X4,X3)
      | ~ organization(X1,X2)
      | ~ inertia(sk3,X4,sk6)
      | ~ class(sk3,X0,sk6) ),
    inference(subsumption_resolution,[],[f25,f8]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ organization(X1,X2)
      | ~ inertia(X1,X3,X2)
      | ~ inertia(sk3,X4,sk6)
      | ~ size(X1,X5,X2)
      | ~ organization(sk3,sk6)
      | greater(X4,X3)
      | ~ class(X1,X0,X2)
      | ~ greater(sk4,X5)
      | ~ class(sk3,X0,sk6) ),
    inference(resolution,[],[f6,f11]) ).

fof(f11,axiom,
    size(sk3,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_30) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ size(X2,X6,X3)
      | ~ class(X2,X4,X3)
      | ~ class(X0,X4,X1)
      | ~ inertia(X0,X7,X1)
      | ~ organization(X0,X1)
      | ~ inertia(X2,X8,X3)
      | greater(X8,X7)
      | ~ greater(X6,X5)
      | ~ organization(X2,X3)
      | ~ size(X0,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_25) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : MGT011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % 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 : n017.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 02:35:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (22922)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50  % (22949)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (22922)Instruction limit reached!
% 0.19/0.50  % (22922)------------------------------
% 0.19/0.50  % (22922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22933)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)
% 0.19/0.51  % (22922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22922)Termination reason: Unknown
% 0.19/0.51  % (22922)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (22922)Memory used [KB]: 5884
% 0.19/0.51  % (22922)Time elapsed: 0.106 s
% 0.19/0.51  % (22922)Instructions burned: 5 (million)
% 0.19/0.51  % (22922)------------------------------
% 0.19/0.51  % (22922)------------------------------
% 0.19/0.51  % (22921)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)
% 0.19/0.51  % (22949)First to succeed.
% 0.19/0.51  % (22933)Instruction limit reached!
% 0.19/0.51  % (22933)------------------------------
% 0.19/0.51  % (22933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22931)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51  % (22933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22933)Termination reason: Unknown
% 0.19/0.51  % (22933)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (22933)Memory used [KB]: 5884
% 0.19/0.51  % (22933)Time elapsed: 0.108 s
% 0.19/0.51  % (22933)Instructions burned: 3 (million)
% 0.19/0.51  % (22933)------------------------------
% 0.19/0.51  % (22933)------------------------------
% 0.19/0.51  % (22949)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (22949)------------------------------
% 0.19/0.51  % (22949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22949)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (22949)Memory used [KB]: 5884
% 0.19/0.51  % (22949)Time elapsed: 0.109 s
% 0.19/0.51  % (22949)Instructions burned: 3 (million)
% 0.19/0.51  % (22949)------------------------------
% 0.19/0.51  % (22949)------------------------------
% 0.19/0.51  % (22919)Success in time 0.16 s
%------------------------------------------------------------------------------