TSTP Solution File: MGT003-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT003-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Sun May  5 07:56:59 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :  101 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  144 (  75   ~;  69   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(subsumption_resolution,[],[f51,f34]) ).

fof(f34,plain,
    greater(sk1(sk6,sk2),sk1(sk5,sk2)),
    inference(subsumption_resolution,[],[f33,f8]) ).

fof(f8,axiom,
    reorganization_free(sk2,sk5,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_8) ).

fof(f33,plain,
    ( greater(sk1(sk6,sk2),sk1(sk5,sk2))
    | ~ reorganization_free(sk2,sk5,sk6) ),
    inference(subsumption_resolution,[],[f32,f11]) ).

fof(f11,axiom,
    greater(sk6,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_11) ).

fof(f32,plain,
    ( greater(sk1(sk6,sk2),sk1(sk5,sk2))
    | ~ greater(sk6,sk5)
    | ~ reorganization_free(sk2,sk5,sk6) ),
    inference(subsumption_resolution,[],[f30,f6]) ).

fof(f6,axiom,
    organization(sk2,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_6) ).

fof(f30,plain,
    ( greater(sk1(sk6,sk2),sk1(sk5,sk2))
    | ~ organization(sk2,sk5)
    | ~ greater(sk6,sk5)
    | ~ reorganization_free(sk2,sk5,sk6) ),
    inference(resolution,[],[f24,f19]) ).

fof(f19,plain,
    inertia(sk2,sk1(sk5,sk2),sk5),
    inference(resolution,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | inertia(X0,sk1(X1,X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_3) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X1,X0)
      | greater(sk1(sk6,sk2),X1)
      | ~ organization(sk2,X0)
      | ~ greater(sk6,X0)
      | ~ reorganization_free(sk2,X0,sk6) ),
    inference(subsumption_resolution,[],[f22,f7]) ).

fof(f7,axiom,
    organization(sk2,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_7) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ organization(sk2,sk6)
      | ~ greater(sk6,X0)
      | greater(sk1(sk6,sk2),X1)
      | ~ organization(sk2,X0)
      | ~ inertia(sk2,X1,X0)
      | ~ reorganization_free(sk2,X0,sk6) ),
    inference(resolution,[],[f5,f20]) ).

fof(f20,plain,
    inertia(sk2,sk1(sk6,sk2),sk6),
    inference(resolution,[],[f3,f7]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ inertia(X0,X4,X2)
      | ~ organization(X0,X2)
      | ~ greater(X2,X1)
      | greater(X4,X3)
      | ~ organization(X0,X1)
      | ~ inertia(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_5) ).

fof(f51,plain,
    ~ greater(sk1(sk6,sk2),sk1(sk5,sk2)),
    inference(resolution,[],[f50,f19]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ inertia(sk2,X0,sk5)
      | ~ greater(sk1(sk6,sk2),X0) ),
    inference(resolution,[],[f49,f20]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X0,sk6)
      | ~ inertia(sk2,X1,sk5)
      | ~ greater(X0,X1) ),
    inference(subsumption_resolution,[],[f48,f15]) ).

fof(f15,plain,
    reorganization_free(sk2,sk6,sk6),
    inference(resolution,[],[f2,f8]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ reorganization_free(X0,X1,X2)
      | reorganization_free(X0,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_2) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X0,sk6)
      | ~ inertia(sk2,X1,sk5)
      | ~ greater(X0,X1)
      | ~ reorganization_free(sk2,sk6,sk6) ),
    inference(subsumption_resolution,[],[f47,f7]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X0,sk6)
      | ~ inertia(sk2,X1,sk5)
      | ~ organization(sk2,sk6)
      | ~ greater(X0,X1)
      | ~ reorganization_free(sk2,sk6,sk6) ),
    inference(subsumption_resolution,[],[f44,f12]) ).

fof(f12,axiom,
    ~ greater(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_12) ).

fof(f44,plain,
    ! [X0,X1] :
      ( greater(sk4,sk3)
      | ~ inertia(sk2,X0,sk6)
      | ~ inertia(sk2,X1,sk5)
      | ~ organization(sk2,sk6)
      | ~ greater(X0,X1)
      | ~ reorganization_free(sk2,sk6,sk6) ),
    inference(resolution,[],[f40,f10]) ).

fof(f10,axiom,
    survival_chance(sk2,sk4,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_10) ).

fof(f40,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ survival_chance(X3,X2,X4)
      | greater(X2,sk3)
      | ~ inertia(X3,X0,X4)
      | ~ inertia(sk2,X1,sk5)
      | ~ organization(X3,X4)
      | ~ greater(X0,X1)
      | ~ reorganization_free(X3,X4,X4) ),
    inference(subsumption_resolution,[],[f39,f13]) ).

fof(f13,plain,
    reorganization_free(sk2,sk5,sk5),
    inference(resolution,[],[f1,f8]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ reorganization_free(X0,X1,X2)
      | reorganization_free(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_1) ).

fof(f39,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ greater(X0,X1)
      | greater(X2,sk3)
      | ~ inertia(X3,X0,X4)
      | ~ inertia(sk2,X1,sk5)
      | ~ organization(X3,X4)
      | ~ survival_chance(X3,X2,X4)
      | ~ reorganization_free(X3,X4,X4)
      | ~ reorganization_free(sk2,sk5,sk5) ),
    inference(subsumption_resolution,[],[f37,f6]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ organization(sk2,sk5)
      | ~ greater(X0,X1)
      | greater(X2,sk3)
      | ~ inertia(X3,X0,X4)
      | ~ inertia(sk2,X1,sk5)
      | ~ organization(X3,X4)
      | ~ survival_chance(X3,X2,X4)
      | ~ reorganization_free(X3,X4,X4)
      | ~ reorganization_free(sk2,sk5,sk5) ),
    inference(resolution,[],[f4,f9]) ).

fof(f9,axiom,
    survival_chance(sk2,sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_9) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ survival_chance(X0,X6,X1)
      | ~ organization(X0,X1)
      | ~ greater(X5,X4)
      | greater(X7,X6)
      | ~ inertia(X2,X5,X3)
      | ~ inertia(X0,X4,X1)
      | ~ organization(X2,X3)
      | ~ survival_chance(X2,X7,X3)
      | ~ reorganization_free(X2,X3,X3)
      | ~ reorganization_free(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:03:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (4277)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (4279)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (4278)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (4281)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (4280)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)
% 0.14/0.38  % (4282)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (4283)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (4284)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected minimum model sizes of [1,1]
% 0.14/0.38  Detected maximum model sizes of [max,1]
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  Detected minimum model sizes of [1,1]
% 0.14/0.38  Detected maximum model sizes of [max,1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  % (4282)First to succeed.
% 0.14/0.38  % (4283)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (4282)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4277"
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3,1]
% 0.21/0.38  TRYING [3,1]
% 0.21/0.38  % (4282)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (4282)------------------------------
% 0.21/0.38  % (4282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (4282)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (4282)Memory used [KB]: 760
% 0.21/0.38  % (4282)Time elapsed: 0.004 s
% 0.21/0.38  % (4282)Instructions burned: 4 (million)
% 0.21/0.38  % (4277)Success in time 0.02 s
%------------------------------------------------------------------------------