TSTP Solution File: MGT009-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT009-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 : Tue May 21 00:42:37 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   34 (  16 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  188 (  98   ~;  90   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   71 (  71   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f94,plain,
    $false,
    inference(resolution,[],[f93,f18]) ).

fof(f18,plain,
    inertia(sk3,sk1(sk10,sk3),sk10),
    inference(resolution,[],[f1,f6]) ).

fof(f6,axiom,
    organization(sk3,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_6) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | inertia(X0,sk1(X1,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_1) ).

fof(f93,plain,
    ! [X0] : ~ inertia(sk3,X0,sk10),
    inference(resolution,[],[f92,f17]) ).

fof(f17,plain,
    inertia(sk2,sk1(sk9,sk2),sk9),
    inference(resolution,[],[f1,f5]) ).

fof(f5,axiom,
    organization(sk2,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_5) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X0,sk9)
      | ~ inertia(sk3,X1,sk10) ),
    inference(subsumption_resolution,[],[f91,f9]) ).

fof(f9,axiom,
    class(sk2,sk4,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_9) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X0,sk9)
      | ~ class(sk2,sk4,sk9)
      | ~ inertia(sk3,X1,sk10) ),
    inference(resolution,[],[f89,f10]) ).

fof(f10,axiom,
    class(sk3,sk4,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_10) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ class(sk3,X2,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ class(sk2,X2,sk9)
      | ~ inertia(sk3,X0,sk10) ),
    inference(subsumption_resolution,[],[f88,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ greater(X0,X1) ),
    inference(subsumption_resolution,[],[f60,f7]) ).

fof(f7,axiom,
    reorganization_free(sk2,sk9,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_7) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ reorganization_free(sk2,sk9,sk9)
      | ~ greater(X0,X1) ),
    inference(subsumption_resolution,[],[f59,f5]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ organization(sk2,sk9)
      | ~ reorganization_free(sk2,sk9,sk9)
      | ~ greater(X0,X1) ),
    inference(subsumption_resolution,[],[f57,f16]) ).

fof(f16,axiom,
    ~ greater(sk6,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_16) ).

fof(f57,plain,
    ! [X0,X1] :
      ( greater(sk6,sk5)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ organization(sk2,sk9)
      | ~ reorganization_free(sk2,sk9,sk9)
      | ~ greater(X0,X1) ),
    inference(resolution,[],[f40,f11]) ).

fof(f11,axiom,
    reproducibility(sk2,sk5,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_11) ).

fof(f40,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reproducibility(X3,X2,X4)
      | greater(sk6,X2)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(X3,X1,X4)
      | ~ organization(X3,X4)
      | ~ reorganization_free(X3,X4,X4)
      | ~ greater(X0,X1) ),
    inference(subsumption_resolution,[],[f39,f8]) ).

fof(f8,axiom,
    reorganization_free(sk3,sk10,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_8) ).

fof(f39,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ greater(X0,X1)
      | greater(sk6,X2)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(X3,X1,X4)
      | ~ organization(X3,X4)
      | ~ reorganization_free(X3,X4,X4)
      | ~ reorganization_free(sk3,sk10,sk10)
      | ~ reproducibility(X3,X2,X4) ),
    inference(subsumption_resolution,[],[f36,f6]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ organization(sk3,sk10)
      | ~ greater(X0,X1)
      | greater(sk6,X2)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(X3,X1,X4)
      | ~ organization(X3,X4)
      | ~ reorganization_free(X3,X4,X4)
      | ~ reorganization_free(sk3,sk10,sk10)
      | ~ reproducibility(X3,X2,X4) ),
    inference(resolution,[],[f3,f12]) ).

fof(f12,axiom,
    reproducibility(sk3,sk6,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_12) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ reproducibility(X2,X5,X3)
      | ~ organization(X2,X3)
      | ~ greater(X7,X6)
      | greater(X5,X4)
      | ~ inertia(X2,X7,X3)
      | ~ inertia(X0,X6,X1)
      | ~ organization(X0,X1)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reorganization_free(X2,X3,X3)
      | ~ reproducibility(X0,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_3) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X1)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ class(sk2,X2,sk9)
      | ~ class(sk3,X2,sk10) ),
    inference(subsumption_resolution,[],[f87,f15]) ).

fof(f15,axiom,
    greater(sk8,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_15) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X1)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ class(sk2,X2,sk9)
      | ~ class(sk3,X2,sk10)
      | ~ greater(sk8,sk7) ),
    inference(subsumption_resolution,[],[f84,f5]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X1)
      | ~ inertia(sk3,X0,sk10)
      | ~ inertia(sk2,X1,sk9)
      | ~ organization(sk2,sk9)
      | ~ class(sk2,X2,sk9)
      | ~ class(sk3,X2,sk10)
      | ~ greater(sk8,sk7) ),
    inference(resolution,[],[f71,f13]) ).

fof(f13,axiom,
    size(sk2,sk7,sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_13) ).

fof(f71,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ size(X3,X0,X4)
      | greater(X1,X2)
      | ~ inertia(sk3,X1,sk10)
      | ~ inertia(X3,X2,X4)
      | ~ organization(X3,X4)
      | ~ class(X3,X5,X4)
      | ~ class(sk3,X5,sk10)
      | ~ greater(sk8,X0) ),
    inference(subsumption_resolution,[],[f69,f6]) ).

fof(f69,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ organization(sk3,sk10)
      | ~ greater(sk8,X0)
      | greater(X1,X2)
      | ~ inertia(sk3,X1,sk10)
      | ~ inertia(X3,X2,X4)
      | ~ organization(X3,X4)
      | ~ class(X3,X5,X4)
      | ~ class(sk3,X5,sk10)
      | ~ size(X3,X0,X4) ),
    inference(resolution,[],[f4,f14]) ).

fof(f14,axiom,
    size(sk3,sk8,sk10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_14) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ size(X2,X6,X3)
      | ~ organization(X2,X3)
      | ~ greater(X6,X5)
      | greater(X8,X7)
      | ~ inertia(X2,X8,X3)
      | ~ inertia(X0,X7,X1)
      | ~ organization(X0,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X3)
      | ~ size(X0,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : MGT009-1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 00:12:53 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  % (22388)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (22393)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35  % (22392)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35  % (22395)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35  % (22389)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35  % (22390)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35  % (22391)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.35  TRYING [1]
% 0.12/0.35  % (22394)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35  TRYING [1]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  Detected minimum model sizes of [1,1,1,1]
% 0.12/0.35  Detected maximum model sizes of [max,2,2,1]
% 0.12/0.35  TRYING [1,1,1,1]
% 0.12/0.35  TRYING [2,1,1,1]
% 0.12/0.36  % (22393)First to succeed.
% 0.12/0.36  TRYING [3,1,1,1]
% 0.12/0.36  Detected minimum model sizes of [1,1,1,1]
% 0.12/0.36  Detected maximum model sizes of [max,2,2,1]
% 0.12/0.36  TRYING [1,1,1,1]
% 0.12/0.36  TRYING [2,1,1,1]
% 0.12/0.36  % (22394)Also succeeded, but the first one will report.
% 0.12/0.36  % (22393)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22388"
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [2,2,1,1]
% 0.12/0.36  TRYING [3,1,1,1]
% 0.12/0.36  % (22393)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (22393)------------------------------
% 0.12/0.36  % (22393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (22393)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (22393)Memory used [KB]: 774
% 0.12/0.36  % (22393)Time elapsed: 0.005 s
% 0.12/0.36  % (22393)Instructions burned: 7 (million)
% 0.12/0.36  % (22388)Success in time 0.021 s
%------------------------------------------------------------------------------