TSTP Solution File: MGT003-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT003-1 : 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_sat --cores 0 -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 : Wed Aug 31 17:51:18 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   34 (  11 unt;   0 def)
%            Number of atoms       :  123 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  189 ( 100   ~;  89   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 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   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f78,plain,
    $false,
    inference(subsumption_resolution,[],[f77,f8]) ).

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

fof(f77,plain,
    ~ reorganization_free(sk2,sk5,sk6),
    inference(subsumption_resolution,[],[f76,f11]) ).

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

fof(f76,plain,
    ( ~ greater(sk6,sk5)
    | ~ reorganization_free(sk2,sk5,sk6) ),
    inference(subsumption_resolution,[],[f75,f7]) ).

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

fof(f75,plain,
    ( ~ organization(sk2,sk6)
    | ~ greater(sk6,sk5)
    | ~ reorganization_free(sk2,sk5,sk6) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f74,plain,
    ( ~ organization(sk2,sk6)
    | ~ organization(sk2,sk6)
    | ~ greater(sk6,sk5)
    | ~ reorganization_free(sk2,sk5,sk6) ),
    inference(resolution,[],[f71,f3]) ).

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

fof(f71,plain,
    ! [X0] :
      ( ~ inertia(sk2,sk1(X0,sk2),sk6)
      | ~ organization(sk2,X0)
      | ~ reorganization_free(sk2,sk5,X0)
      | ~ greater(X0,sk5) ),
    inference(subsumption_resolution,[],[f70,f6]) ).

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

fof(f70,plain,
    ! [X0] :
      ( ~ organization(sk2,sk5)
      | ~ organization(sk2,X0)
      | ~ inertia(sk2,sk1(X0,sk2),sk6)
      | ~ reorganization_free(sk2,sk5,X0)
      | ~ greater(X0,sk5) ),
    inference(resolution,[],[f28,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ greater(X0,sk1(sk5,sk2))
      | ~ inertia(sk2,X0,sk6) ),
    inference(subsumption_resolution,[],[f66,f6]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ greater(X0,sk1(sk5,sk2))
      | ~ inertia(sk2,X0,sk6)
      | ~ organization(sk2,sk5) ),
    inference(resolution,[],[f33,f3]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X1,sk5)
      | ~ greater(X0,X1)
      | ~ inertia(sk2,X0,sk6) ),
    inference(subsumption_resolution,[],[f32,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(f32,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ inertia(sk2,X1,sk5)
      | ~ inertia(sk2,X0,sk6)
      | ~ reorganization_free(sk2,sk5,sk5) ),
    inference(subsumption_resolution,[],[f31,f12]) ).

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

fof(f31,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X0,sk6)
      | ~ greater(X0,X1)
      | greater(sk4,sk3)
      | ~ reorganization_free(sk2,sk5,sk5)
      | ~ inertia(sk2,X1,sk5) ),
    inference(subsumption_resolution,[],[f29,f6]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ inertia(sk2,X0,sk6)
      | ~ organization(sk2,sk5)
      | greater(sk4,sk3)
      | ~ reorganization_free(sk2,sk5,sk5)
      | ~ greater(X0,X1)
      | ~ inertia(sk2,X1,sk5) ),
    inference(resolution,[],[f24,f9]) ).

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

fof(f24,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ survival_chance(X5,X7,X6)
      | ~ inertia(sk2,X9,sk6)
      | greater(sk4,X7)
      | ~ reorganization_free(X5,X6,X6)
      | ~ greater(X9,X8)
      | ~ organization(X5,X6)
      | ~ inertia(X5,X8,X6) ),
    inference(subsumption_resolution,[],[f23,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(f23,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ reorganization_free(X5,X6,X6)
      | ~ inertia(X5,X8,X6)
      | ~ survival_chance(X5,X7,X6)
      | ~ organization(X5,X6)
      | greater(sk4,X7)
      | ~ reorganization_free(sk2,sk6,sk6)
      | ~ inertia(sk2,X9,sk6)
      | ~ greater(X9,X8) ),
    inference(subsumption_resolution,[],[f22,f7]) ).

fof(f22,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ greater(X9,X8)
      | ~ reorganization_free(X5,X6,X6)
      | ~ inertia(X5,X8,X6)
      | ~ survival_chance(X5,X7,X6)
      | ~ organization(sk2,sk6)
      | ~ organization(X5,X6)
      | greater(sk4,X7)
      | ~ inertia(sk2,X9,sk6)
      | ~ reorganization_free(sk2,sk6,sk6) ),
    inference(resolution,[],[f4,f10]) ).

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

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

fof(f28,plain,
    ! [X2,X0,X1] :
      ( greater(sk1(X1,X0),sk1(X2,X0))
      | ~ reorganization_free(X0,X2,X1)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1)
      | ~ greater(X1,X2) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( greater(sk1(X1,X0),sk1(X2,X0))
      | ~ reorganization_free(X0,X2,X1)
      | ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ greater(X1,X2)
      | ~ organization(X0,X2) ),
    inference(resolution,[],[f20,f3]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( ~ inertia(X0,X2,X1)
      | ~ organization(X0,X3)
      | greater(sk1(X3,X0),X2)
      | ~ greater(X3,X1)
      | ~ organization(X0,X1)
      | ~ reorganization_free(X0,X1,X3) ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(X0,X3)
      | ~ organization(X0,X3)
      | ~ greater(X3,X1)
      | ~ inertia(X0,X2,X1)
      | ~ organization(X0,X1)
      | ~ reorganization_free(X0,X1,X3)
      | greater(sk1(X3,X0),X2) ),
    inference(resolution,[],[f5,f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MGT003-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 03:07:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (23289)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48  % (23297)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.48  % (23305)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.49  % (23289)First to succeed.
% 0.19/0.49  % (23289)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (23289)------------------------------
% 0.19/0.49  % (23289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (23289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (23289)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (23289)Memory used [KB]: 5373
% 0.19/0.49  % (23289)Time elapsed: 0.098 s
% 0.19/0.49  % (23289)Instructions burned: 2 (million)
% 0.19/0.49  % (23289)------------------------------
% 0.19/0.49  % (23289)------------------------------
% 0.19/0.49  % (23280)Success in time 0.137 s
%------------------------------------------------------------------------------