TSTP Solution File: MGT009-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT009-1 : 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 : n024.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 17:50:51 EDT 2022

% Result   : Unsatisfiable 1.40s 0.54s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   45 (  16 unt;   0 def)
%            Number of atoms       :  148 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  217 ( 114   ~; 100   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   4 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,plain,
    $false,
    inference(avatar_sat_refutation,[],[f130,f133,f136,f139]) ).

fof(f139,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f137,f9]) ).

fof(f9,axiom,
    class(sk2,sk4,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_9) ).

fof(f137,plain,
    ( ~ class(sk2,sk4,sk9)
    | ~ spl0_10 ),
    inference(resolution,[],[f102,f10]) ).

fof(f10,axiom,
    class(sk3,sk4,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_10) ).

fof(f102,plain,
    ( ! [X5] :
        ( ~ class(sk3,X5,sk10)
        | ~ class(sk2,X5,sk9) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_10
  <=> ! [X5] :
        ( ~ class(sk3,X5,sk10)
        | ~ class(sk2,X5,sk9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f136,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f134,f6]) ).

fof(f6,axiom,
    organization(sk3,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_6) ).

fof(f134,plain,
    ( ~ organization(sk3,sk10)
    | ~ spl0_8 ),
    inference(resolution,[],[f95,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( inertia(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).

fof(f95,plain,
    ( ! [X3] : ~ inertia(sk3,X3,sk10)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl0_8
  <=> ! [X3] : ~ inertia(sk3,X3,sk10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f133,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f132]) ).

fof(f132,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f131,f5]) ).

fof(f5,axiom,
    organization(sk2,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_5) ).

fof(f131,plain,
    ( ~ organization(sk2,sk9)
    | ~ spl0_7 ),
    inference(resolution,[],[f92,f1]) ).

fof(f92,plain,
    ( ! [X4] : ~ inertia(sk2,X4,sk9)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_7
  <=> ! [X4] : ~ inertia(sk2,X4,sk9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f130,plain,
    ( spl0_10
    | spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f129,f91,f94,f101]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( ~ inertia(sk2,X2,sk9)
      | ~ inertia(sk3,X1,sk10)
      | ~ class(sk2,X0,sk9)
      | ~ class(sk3,X0,sk10) ),
    inference(subsumption_resolution,[],[f128,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ inertia(sk2,X1,sk9)
      | ~ inertia(sk3,X0,sk10) ),
    inference(subsumption_resolution,[],[f83,f5]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ organization(sk2,sk9)
      | ~ inertia(sk2,X1,sk9)
      | ~ greater(X0,X1)
      | ~ inertia(sk3,X0,sk10) ),
    inference(subsumption_resolution,[],[f82,f16]) ).

fof(f16,axiom,
    ~ greater(sk6,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_16) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X0,sk10)
      | ~ greater(X0,X1)
      | greater(sk6,sk5)
      | ~ organization(sk2,sk9)
      | ~ inertia(sk2,X1,sk9) ),
    inference(subsumption_resolution,[],[f77,f7]) ).

fof(f7,axiom,
    reorganization_free(sk2,sk9,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_7) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ reorganization_free(sk2,sk9,sk9)
      | ~ organization(sk2,sk9)
      | greater(sk6,sk5)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9) ),
    inference(resolution,[],[f28,f11]) ).

fof(f11,axiom,
    reproducibility(sk2,sk5,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_11) ).

fof(f28,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ reproducibility(X7,X8,X9)
      | ~ inertia(sk3,X5,sk10)
      | ~ greater(X5,X6)
      | ~ organization(X7,X9)
      | greater(sk6,X8)
      | ~ inertia(X7,X6,X9)
      | ~ reorganization_free(X7,X9,X9) ),
    inference(subsumption_resolution,[],[f27,f6]) ).

fof(f27,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ reorganization_free(X7,X9,X9)
      | ~ inertia(sk3,X5,sk10)
      | greater(sk6,X8)
      | ~ reproducibility(X7,X8,X9)
      | ~ greater(X5,X6)
      | ~ inertia(X7,X6,X9)
      | ~ organization(sk3,sk10)
      | ~ organization(X7,X9) ),
    inference(subsumption_resolution,[],[f24,f8]) ).

fof(f8,axiom,
    reorganization_free(sk3,sk10,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_8) ).

fof(f24,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ reproducibility(X7,X8,X9)
      | ~ organization(X7,X9)
      | ~ inertia(X7,X6,X9)
      | ~ reorganization_free(sk3,sk10,sk10)
      | ~ inertia(sk3,X5,sk10)
      | greater(sk6,X8)
      | ~ greater(X5,X6)
      | ~ organization(sk3,sk10)
      | ~ reorganization_free(X7,X9,X9) ),
    inference(resolution,[],[f3,f12]) ).

fof(f12,axiom,
    reproducibility(sk3,sk6,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_12) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ reproducibility(X2,X5,X3)
      | ~ greater(X7,X6)
      | ~ reproducibility(X0,X4,X1)
      | ~ organization(X0,X1)
      | ~ reorganization_free(X2,X3,X3)
      | greater(X5,X4)
      | ~ organization(X2,X3)
      | ~ inertia(X0,X6,X1)
      | ~ inertia(X2,X7,X3)
      | ~ reorganization_free(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL_3) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( ~ inertia(sk3,X1,sk10)
      | ~ inertia(sk2,X2,sk9)
      | ~ class(sk3,X0,sk10)
      | greater(X1,X2)
      | ~ class(sk2,X0,sk9) ),
    inference(subsumption_resolution,[],[f127,f15]) ).

fof(f15,axiom,
    greater(sk8,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_15) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( ~ class(sk2,X0,sk9)
      | ~ class(sk3,X0,sk10)
      | ~ inertia(sk3,X1,sk10)
      | ~ greater(sk8,sk7)
      | greater(X1,X2)
      | ~ inertia(sk2,X2,sk9) ),
    inference(subsumption_resolution,[],[f114,f5]) ).

fof(f114,plain,
    ! [X2,X0,X1] :
      ( ~ class(sk3,X0,sk10)
      | ~ organization(sk2,sk9)
      | ~ inertia(sk3,X1,sk10)
      | ~ inertia(sk2,X2,sk9)
      | greater(X1,X2)
      | ~ greater(sk8,sk7)
      | ~ class(sk2,X0,sk9) ),
    inference(resolution,[],[f66,f13]) ).

fof(f13,axiom,
    size(sk2,sk7,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_13) ).

fof(f66,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ size(X7,X10,X9)
      | ~ class(sk3,X6,sk10)
      | ~ inertia(sk3,X11,sk10)
      | greater(X11,X8)
      | ~ class(X7,X6,X9)
      | ~ organization(X7,X9)
      | ~ greater(sk8,X10)
      | ~ inertia(X7,X8,X9) ),
    inference(subsumption_resolution,[],[f64,f6]) ).

fof(f64,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( greater(X11,X8)
      | ~ inertia(sk3,X11,sk10)
      | ~ size(X7,X10,X9)
      | ~ organization(sk3,sk10)
      | ~ organization(X7,X9)
      | ~ greater(sk8,X10)
      | ~ class(sk3,X6,sk10)
      | ~ class(X7,X6,X9)
      | ~ inertia(X7,X8,X9) ),
    inference(resolution,[],[f4,f14]) ).

fof(f14,axiom,
    size(sk3,sk8,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_14) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ size(X2,X6,X3)
      | ~ class(X2,X4,X3)
      | ~ inertia(X0,X7,X1)
      | ~ size(X0,X5,X1)
      | ~ greater(X6,X5)
      | ~ organization(X0,X1)
      | greater(X8,X7)
      | ~ organization(X2,X3)
      | ~ class(X0,X4,X1)
      | ~ inertia(X2,X8,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 03:13:34 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.51  % (17178)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.51  % (17186)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51  % (17196)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.52  % (17178)First to succeed.
% 0.21/0.53  % (17193)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)
% 0.21/0.53  % (17185)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)
% 0.21/0.53  % (17181)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  % (17200)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53  % (17183)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53  TRYING [2]
% 1.40/0.53  % (17193)Instruction limit reached!
% 1.40/0.53  % (17193)------------------------------
% 1.40/0.53  % (17193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (17186)Instruction limit reached!
% 1.40/0.53  % (17186)------------------------------
% 1.40/0.53  % (17186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (17179)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)
% 1.40/0.54  % (17203)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.40/0.54  % (17186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (17186)Termination reason: Unknown
% 1.40/0.54  % (17186)Termination phase: Saturation
% 1.40/0.54  
% 1.40/0.54  % (17186)Memory used [KB]: 5884
% 1.40/0.54  % (17186)Time elapsed: 0.128 s
% 1.40/0.54  % (17186)Instructions burned: 3 (million)
% 1.40/0.54  % (17186)------------------------------
% 1.40/0.54  % (17186)------------------------------
% 1.40/0.54  % (17203)Refutation not found, incomplete strategy% (17203)------------------------------
% 1.40/0.54  % (17203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (17203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (17203)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.54  
% 1.40/0.54  % (17203)Memory used [KB]: 5884
% 1.40/0.54  % (17203)Time elapsed: 0.126 s
% 1.40/0.54  % (17203)Instructions burned: 1 (million)
% 1.40/0.54  % (17203)------------------------------
% 1.40/0.54  % (17203)------------------------------
% 1.40/0.54  % (17180)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)
% 1.40/0.54  % (17178)Refutation found. Thanks to Tanya!
% 1.40/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.40/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.54  % (17178)------------------------------
% 1.40/0.54  % (17178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (17178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (17178)Termination reason: Refutation
% 1.40/0.54  
% 1.40/0.54  % (17178)Memory used [KB]: 5884
% 1.40/0.54  % (17178)Time elapsed: 0.102 s
% 1.40/0.54  % (17178)Instructions burned: 4 (million)
% 1.40/0.54  % (17178)------------------------------
% 1.40/0.54  % (17178)------------------------------
% 1.40/0.54  % (17177)Success in time 0.181 s
%------------------------------------------------------------------------------