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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT009-1 : 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 : n011.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 Apr 30 13:54:02 EDT 2024

% Result   : Unsatisfiable 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  15 unt;   0 def)
%            Number of atoms       :  147 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  219 ( 110   ~; 109   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 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   :   78 (  78   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(subsumption_resolution,[],[f42,f16]) ).

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

fof(f42,plain,
    greater(sk6,sk5),
    inference(resolution,[],[f41,f12]) ).

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

fof(f41,plain,
    ! [X0] :
      ( ~ reproducibility(sk3,X0,sk10)
      | greater(X0,sk5) ),
    inference(subsumption_resolution,[],[f40,f8]) ).

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

fof(f40,plain,
    ! [X0] :
      ( ~ reproducibility(sk3,X0,sk10)
      | ~ reorganization_free(sk3,sk10,sk10)
      | greater(X0,sk5) ),
    inference(subsumption_resolution,[],[f39,f6]) ).

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

fof(f39,plain,
    ! [X0] :
      ( ~ organization(sk3,sk10)
      | ~ reproducibility(sk3,X0,sk10)
      | ~ reorganization_free(sk3,sk10,sk10)
      | greater(X0,sk5) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ organization(sk3,sk10)
      | ~ reproducibility(sk3,X0,sk10)
      | ~ reorganization_free(sk3,sk10,sk10)
      | greater(X0,sk5)
      | ~ organization(sk3,sk10) ),
    inference(resolution,[],[f37,f1]) ).

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

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ inertia(X0,sk1(sk10,sk3),X1)
      | ~ organization(X0,X1)
      | ~ reproducibility(X0,X2,X1)
      | ~ reorganization_free(X0,X1,X1)
      | greater(X2,sk5) ),
    inference(resolution,[],[f36,f11]) ).

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

fof(f36,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reproducibility(sk2,X1,sk9)
      | ~ inertia(X2,sk1(sk10,sk3),X3)
      | ~ organization(X2,X3)
      | ~ reproducibility(X2,X0,X3)
      | ~ reorganization_free(X2,X3,X3)
      | greater(X0,X1) ),
    inference(subsumption_resolution,[],[f35,f7]) ).

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

fof(f35,plain,
    ! [X2,X3,X0,X1] :
      ( greater(X0,X1)
      | ~ inertia(X2,sk1(sk10,sk3),X3)
      | ~ organization(X2,X3)
      | ~ reproducibility(X2,X0,X3)
      | ~ reorganization_free(sk2,sk9,sk9)
      | ~ reorganization_free(X2,X3,X3)
      | ~ reproducibility(sk2,X1,sk9) ),
    inference(subsumption_resolution,[],[f34,f5]) ).

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

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(sk2,sk9)
      | greater(X0,X1)
      | ~ inertia(X2,sk1(sk10,sk3),X3)
      | ~ organization(X2,X3)
      | ~ reproducibility(X2,X0,X3)
      | ~ reorganization_free(sk2,sk9,sk9)
      | ~ reorganization_free(X2,X3,X3)
      | ~ reproducibility(sk2,X1,sk9) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(sk2,sk9)
      | greater(X0,X1)
      | ~ inertia(X2,sk1(sk10,sk3),X3)
      | ~ organization(X2,X3)
      | ~ reproducibility(X2,X0,X3)
      | ~ reorganization_free(sk2,sk9,sk9)
      | ~ reorganization_free(X2,X3,X3)
      | ~ reproducibility(sk2,X1,sk9)
      | ~ organization(sk2,sk9) ),
    inference(resolution,[],[f31,f1]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ inertia(X2,sk1(sk9,sk2),X3)
      | ~ organization(X2,X3)
      | greater(X4,X5)
      | ~ inertia(X0,sk1(sk10,sk3),X1)
      | ~ organization(X0,X1)
      | ~ reproducibility(X0,X4,X1)
      | ~ reorganization_free(X2,X3,X3)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reproducibility(X2,X5,X3) ),
    inference(resolution,[],[f29,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ greater(X7,X6)
      | ~ organization(X2,X3)
      | ~ organization(X0,X1)
      | greater(X5,X4)
      | ~ inertia(X2,X7,X3)
      | ~ inertia(X0,X6,X1)
      | ~ reproducibility(X2,X5,X3)
      | ~ 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(f29,plain,
    greater(sk1(sk10,sk3),sk1(sk9,sk2)),
    inference(subsumption_resolution,[],[f28,f6]) ).

fof(f28,plain,
    ( greater(sk1(sk10,sk3),sk1(sk9,sk2))
    | ~ organization(sk3,sk10) ),
    inference(resolution,[],[f27,f1]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk10)
      | greater(X0,sk1(sk9,sk2)) ),
    inference(subsumption_resolution,[],[f26,f6]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk10)
      | greater(X0,sk1(sk9,sk2))
      | ~ organization(sk3,sk10) ),
    inference(subsumption_resolution,[],[f25,f10]) ).

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

fof(f25,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk10)
      | greater(X0,sk1(sk9,sk2))
      | ~ class(sk3,sk4,sk10)
      | ~ organization(sk3,sk10) ),
    inference(resolution,[],[f24,f14]) ).

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

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ size(X0,sk8,X2)
      | ~ inertia(X0,X1,X2)
      | greater(X1,sk1(sk9,sk2))
      | ~ class(X0,sk4,X2)
      | ~ organization(X0,X2) ),
    inference(subsumption_resolution,[],[f23,f5]) ).

fof(f23,plain,
    ! [X2,X0,X1] :
      ( ~ inertia(X0,X1,X2)
      | ~ size(X0,sk8,X2)
      | greater(X1,sk1(sk9,sk2))
      | ~ class(X0,sk4,X2)
      | ~ organization(X0,X2)
      | ~ organization(sk2,sk9) ),
    inference(resolution,[],[f22,f1]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] :
      ( ~ inertia(sk2,X3,sk9)
      | ~ inertia(X0,X1,X2)
      | ~ size(X0,sk8,X2)
      | greater(X1,X3)
      | ~ class(X0,sk4,X2)
      | ~ organization(X0,X2) ),
    inference(resolution,[],[f21,f9]) ).

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

fof(f21,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ class(sk2,X4,sk9)
      | ~ inertia(X2,X0,X3)
      | ~ inertia(sk2,X1,sk9)
      | ~ size(X2,sk8,X3)
      | greater(X0,X1)
      | ~ class(X2,X4,X3)
      | ~ organization(X2,X3) ),
    inference(subsumption_resolution,[],[f20,f5]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ organization(sk2,sk9)
      | greater(X0,X1)
      | ~ inertia(X2,X0,X3)
      | ~ inertia(sk2,X1,sk9)
      | ~ size(X2,sk8,X3)
      | ~ class(sk2,X4,sk9)
      | ~ class(X2,X4,X3)
      | ~ organization(X2,X3) ),
    inference(resolution,[],[f19,f13]) ).

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

fof(f19,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ size(X2,sk7,X3)
      | ~ organization(X2,X3)
      | greater(X4,X5)
      | ~ inertia(X0,X4,X1)
      | ~ inertia(X2,X5,X3)
      | ~ size(X0,sk8,X1)
      | ~ class(X2,X6,X3)
      | ~ class(X0,X6,X1)
      | ~ organization(X0,X1) ),
    inference(resolution,[],[f4,f15]) ).

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

fof(f4,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X6,X5)
      | ~ organization(X2,X3)
      | ~ organization(X0,X1)
      | greater(X8,X7)
      | ~ inertia(X2,X8,X3)
      | ~ inertia(X0,X7,X1)
      | ~ size(X2,X6,X3)
      | ~ 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
% 0.07/0.13  % Problem    : MGT009-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 03:43:16 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (5228)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (5229)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  % (5233)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39  % (5230)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39  % (5234)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39  % (5232)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39  % (5235)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)
% 0.22/0.39  TRYING [4]
% 0.22/0.39  % (5231)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)
% 0.22/0.40  TRYING [1]
% 0.22/0.40  Detected minimum model sizes of [1,1,1,1]
% 0.22/0.40  Detected maximum model sizes of [max,2,2,1]
% 0.22/0.40  TRYING [1,1,1,1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  Detected minimum model sizes of [1,1,1,1]
% 0.22/0.40  Detected maximum model sizes of [max,2,2,1]
% 0.22/0.40  TRYING [2,1,1,1]
% 0.22/0.40  TRYING [1,1,1,1]
% 0.22/0.40  % (5234)First to succeed.
% 0.22/0.40  TRYING [2,1,1,1]
% 0.22/0.40  TRYING [3,1,1,1]
% 0.22/0.40  % (5233)Also succeeded, but the first one will report.
% 0.22/0.40  TRYING [3,1,1,1]
% 0.22/0.40  % (5234)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (5234)------------------------------
% 0.22/0.40  % (5234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40  % (5234)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (5234)Memory used [KB]: 764
% 0.22/0.40  % (5234)Time elapsed: 0.008 s
% 0.22/0.40  % (5234)Instructions burned: 6 (million)
% 0.22/0.40  % (5234)------------------------------
% 0.22/0.40  % (5234)------------------------------
% 0.22/0.40  % (5228)Success in time 0.035 s
%------------------------------------------------------------------------------