TSTP Solution File: MGT018-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT018-1 : 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 : n023.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 13:54:06 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   42 (  16 unt;   0 def)
%            Number of atoms       :  188 (   0 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  287 ( 141   ~; 146   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   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   :   89 (  89   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,plain,
    $false,
    inference(subsumption_resolution,[],[f43,f16]) ).

fof(f16,axiom,
    ~ greater(sk9,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_16) ).

fof(f43,plain,
    greater(sk9,sk10),
    inference(resolution,[],[f42,f9]) ).

fof(f9,axiom,
    reorganization(sk2,sk8,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_9) ).

fof(f42,plain,
    ! [X0] :
      ( ~ reorganization(sk2,sk8,X0)
      | greater(X0,sk10) ),
    inference(subsumption_resolution,[],[f41,f4]) ).

fof(f4,axiom,
    organization(sk2,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_4) ).

fof(f41,plain,
    ! [X0] :
      ( greater(X0,sk10)
      | ~ reorganization(sk2,sk8,X0)
      | ~ organization(sk2,sk8) ),
    inference(subsumption_resolution,[],[f40,f7]) ).

fof(f7,axiom,
    class(sk2,sk5,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_7) ).

fof(f40,plain,
    ! [X0] :
      ( greater(X0,sk10)
      | ~ reorganization(sk2,sk8,X0)
      | ~ class(sk2,sk5,sk8)
      | ~ organization(sk2,sk8) ),
    inference(subsumption_resolution,[],[f39,f11]) ).

fof(f11,axiom,
    reorganization_type(sk2,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_11) ).

fof(f39,plain,
    ! [X0] :
      ( greater(X0,sk10)
      | ~ reorganization_type(sk2,sk4,sk8)
      | ~ reorganization(sk2,sk8,X0)
      | ~ class(sk2,sk5,sk8)
      | ~ organization(sk2,sk8) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( greater(X0,sk10)
      | ~ reorganization_type(sk2,sk4,sk8)
      | ~ reorganization(sk2,sk8,X0)
      | ~ class(sk2,sk5,sk8)
      | ~ organization(sk2,sk8)
      | ~ organization(sk2,sk8) ),
    inference(resolution,[],[f37,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(f37,plain,
    ! [X0,X1] :
      ( ~ inertia(X0,sk1(sk8,sk2),sk8)
      | greater(X1,sk10)
      | ~ reorganization_type(X0,sk4,sk8)
      | ~ reorganization(X0,sk8,X1)
      | ~ class(X0,sk5,sk8)
      | ~ organization(X0,sk8) ),
    inference(resolution,[],[f36,f8]) ).

fof(f8,axiom,
    class(sk3,sk5,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_8) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ class(sk3,X2,sk8)
      | ~ inertia(X0,sk1(sk8,sk2),sk8)
      | greater(X1,sk10)
      | ~ reorganization_type(X0,sk4,sk8)
      | ~ reorganization(X0,sk8,X1)
      | ~ class(X0,X2,sk8)
      | ~ organization(X0,sk8) ),
    inference(subsumption_resolution,[],[f35,f6]) ).

fof(f6,axiom,
    ~ organization(sk3,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_6) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0,sk8)
      | ~ inertia(X0,sk1(sk8,sk2),sk8)
      | greater(X1,sk10)
      | ~ reorganization_type(X0,sk4,sk8)
      | organization(sk3,sk10)
      | ~ reorganization(X0,sk8,X1)
      | ~ class(X0,X2,sk8)
      | ~ class(sk3,X2,sk8) ),
    inference(resolution,[],[f34,f10]) ).

fof(f10,axiom,
    reorganization(sk3,sk8,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_10) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reorganization(sk3,sk8,X0)
      | ~ organization(X1,sk8)
      | ~ inertia(X1,sk1(sk8,sk2),sk8)
      | greater(X2,X0)
      | ~ reorganization_type(X1,sk4,sk8)
      | organization(sk3,X0)
      | ~ reorganization(X1,sk8,X2)
      | ~ class(X1,X3,sk8)
      | ~ class(sk3,X3,sk8) ),
    inference(resolution,[],[f33,f12]) ).

fof(f12,axiom,
    reorganization_type(sk3,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_12) ).

fof(f33,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reorganization_type(sk3,X3,sk8)
      | organization(sk3,X1)
      | ~ organization(X2,sk8)
      | ~ inertia(X2,sk1(sk8,sk2),sk8)
      | greater(X0,X1)
      | ~ reorganization_type(X2,X3,sk8)
      | ~ reorganization(sk3,sk8,X1)
      | ~ reorganization(X2,sk8,X0)
      | ~ class(X2,X4,sk8)
      | ~ class(sk3,X4,sk8) ),
    inference(subsumption_resolution,[],[f32,f5]) ).

fof(f5,axiom,
    organization(sk3,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_5) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ organization(sk3,sk8)
      | greater(X0,X1)
      | organization(sk3,X1)
      | ~ organization(X2,sk8)
      | ~ inertia(X2,sk1(sk8,sk2),sk8)
      | ~ reorganization_type(sk3,X3,sk8)
      | ~ reorganization_type(X2,X3,sk8)
      | ~ reorganization(sk3,sk8,X1)
      | ~ reorganization(X2,sk8,X0)
      | ~ class(X2,X4,sk8)
      | ~ class(sk3,X4,sk8) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ organization(sk3,sk8)
      | greater(X0,X1)
      | organization(sk3,X1)
      | ~ organization(X2,sk8)
      | ~ inertia(X2,sk1(sk8,sk2),sk8)
      | ~ reorganization_type(sk3,X3,sk8)
      | ~ reorganization_type(X2,X3,sk8)
      | ~ reorganization(sk3,sk8,X1)
      | ~ reorganization(X2,sk8,X0)
      | ~ class(X2,X4,sk8)
      | ~ class(sk3,X4,sk8)
      | ~ organization(sk3,sk8) ),
    inference(resolution,[],[f29,f1]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ inertia(X2,sk1(sk8,sk3),X1)
      | ~ organization(X2,X1)
      | greater(X3,X4)
      | organization(X2,X4)
      | ~ organization(X0,X1)
      | ~ inertia(X0,sk1(sk8,sk2),X1)
      | ~ reorganization_type(X2,X5,X1)
      | ~ reorganization_type(X0,X5,X1)
      | ~ reorganization(X2,X1,X4)
      | ~ reorganization(X0,X1,X3)
      | ~ class(X0,X6,X1)
      | ~ class(X2,X6,X1) ),
    inference(resolution,[],[f28,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X8,X7)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | greater(X5,X3)
      | organization(X2,X3)
      | ~ inertia(X2,X8,X1)
      | ~ inertia(X0,X7,X1)
      | ~ reorganization_type(X2,X6,X1)
      | ~ reorganization_type(X0,X6,X1)
      | ~ reorganization(X2,X1,X3)
      | ~ reorganization(X0,X1,X5)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14_FOL_3) ).

fof(f28,plain,
    greater(sk1(sk8,sk3),sk1(sk8,sk2)),
    inference(subsumption_resolution,[],[f27,f5]) ).

fof(f27,plain,
    ( greater(sk1(sk8,sk3),sk1(sk8,sk2))
    | ~ organization(sk3,sk8) ),
    inference(resolution,[],[f26,f1]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk8)
      | greater(X0,sk1(sk8,sk2)) ),
    inference(subsumption_resolution,[],[f25,f8]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk8)
      | greater(X0,sk1(sk8,sk2))
      | ~ class(sk3,sk5,sk8) ),
    inference(subsumption_resolution,[],[f24,f5]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ inertia(sk3,X0,sk8)
      | ~ organization(sk3,sk8)
      | greater(X0,sk1(sk8,sk2))
      | ~ class(sk3,sk5,sk8) ),
    inference(resolution,[],[f23,f14]) ).

fof(f14,axiom,
    size(sk3,sk7,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_14) ).

fof(f23,plain,
    ! [X2,X0,X1] :
      ( ~ size(X0,sk7,X2)
      | ~ inertia(X0,X1,X2)
      | ~ organization(X0,X2)
      | greater(X1,sk1(sk8,sk2))
      | ~ class(X0,sk5,X2) ),
    inference(subsumption_resolution,[],[f22,f4]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ inertia(X0,X1,X2)
      | ~ size(X0,sk7,X2)
      | ~ organization(X0,X2)
      | greater(X1,sk1(sk8,sk2))
      | ~ class(X0,sk5,X2)
      | ~ organization(sk2,sk8) ),
    inference(resolution,[],[f21,f1]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( ~ inertia(sk2,X3,sk8)
      | ~ inertia(X0,X1,X2)
      | ~ size(X0,sk7,X2)
      | ~ organization(X0,X2)
      | greater(X1,X3)
      | ~ class(X0,sk5,X2) ),
    inference(resolution,[],[f19,f7]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ class(sk2,X4,sk8)
      | ~ inertia(X2,X0,X3)
      | ~ inertia(sk2,X1,sk8)
      | ~ size(X2,sk7,X3)
      | ~ organization(X2,X3)
      | greater(X0,X1)
      | ~ class(X2,X4,X3) ),
    inference(subsumption_resolution,[],[f18,f4]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ organization(sk2,sk8)
      | greater(X0,X1)
      | ~ inertia(X2,X0,X3)
      | ~ inertia(sk2,X1,sk8)
      | ~ size(X2,sk7,X3)
      | ~ organization(X2,X3)
      | ~ class(sk2,X4,sk8)
      | ~ class(X2,X4,X3) ),
    inference(resolution,[],[f17,f13]) ).

fof(f13,axiom,
    size(sk2,sk6,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_13) ).

fof(f17,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ size(X2,sk6,X3)
      | ~ organization(X2,X3)
      | greater(X4,X5)
      | ~ inertia(X0,X4,X1)
      | ~ inertia(X2,X5,X3)
      | ~ size(X0,sk7,X1)
      | ~ organization(X0,X1)
      | ~ class(X2,X6,X3)
      | ~ class(X0,X6,X1) ),
    inference(resolution,[],[f2,f15]) ).

fof(f15,axiom,
    greater(sk7,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_FOL_15) ).

fof(f2,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)
      | ~ size(X0,X5,X1)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MGT018-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n023.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   : Tue Apr 30 03:52:55 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (22347)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (22353)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37  % (22348)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  % (22352)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37  % (22350)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)
% 0.21/0.37  % (22351)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37  % (22349)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (22354)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)
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  Detected minimum model sizes of [1,1,1,1]
% 0.21/0.37  Detected maximum model sizes of [max,2,1,1]
% 0.21/0.37  TRYING [1,1,1,1]
% 0.21/0.37  Detected minimum model sizes of [1,1,1,1]
% 0.21/0.37  Detected maximum model sizes of [max,2,1,1]
% 0.21/0.37  TRYING [1,1,1,1]
% 0.21/0.38  % (22353)First to succeed.
% 0.21/0.38  TRYING [2,1,1,1]
% 0.21/0.38  TRYING [2,1,1,1]
% 0.21/0.38  % (22352)Also succeeded, but the first one will report.
% 0.21/0.38  TRYING [3,1,1,1]
% 0.21/0.38  TRYING [3,1,1,1]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  % (22353)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  % (22353)------------------------------
% 0.21/0.38  % (22353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38  % (22353)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (22353)Memory used [KB]: 764
% 0.21/0.38  % (22353)Time elapsed: 0.005 s
% 0.21/0.38  % (22353)Instructions burned: 6 (million)
% 0.21/0.38  % (22353)------------------------------
% 0.21/0.38  % (22353)------------------------------
% 0.21/0.38  % (22347)Success in time 0.021 s
%------------------------------------------------------------------------------