TSTP Solution File: MGT046-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT046-1 : 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_uns --cores 0 -t %d %s

% Computer : n019.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 17:51:09 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   53 (  15 unt;   0 def)
%            Number of atoms       :  115 (   3 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  115 (  53   ~;  57   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f539,plain,
    $false,
    inference(avatar_sat_refutation,[],[f160,f164,f207,f456,f458,f538]) ).

fof(f538,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f537]) ).

fof(f537,plain,
    ( $false
    | spl0_9 ),
    inference(subsumption_resolution,[],[f256,f159]) ).

fof(f159,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl0_9
  <=> greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f256,plain,
    greater_or_equal(position(sk1,sk3),position(sk1,sk2)),
    inference(resolution,[],[f114,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).

fof(f114,plain,
    greater(position(sk1,sk3),position(sk1,sk2)),
    inference(subsumption_resolution,[],[f109,f24]) ).

fof(f24,axiom,
    organization(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_1_53) ).

fof(f109,plain,
    ( ~ organization(sk1)
    | greater(position(sk1,sk3),position(sk1,sk2)) ),
    inference(resolution,[],[f87,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ organization(X0)
      | greater(position(X0,X1),position(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_48) ).

fof(f87,plain,
    greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(subsumption_resolution,[],[f83,f24]) ).

fof(f83,plain,
    ( ~ organization(sk1)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(resolution,[],[f22,f26]) ).

fof(f26,axiom,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_1_55) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(age(X0,X1),age(X0,X2))
      | greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ organization(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8_51) ).

fof(f458,plain,
    ( ~ spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f457,f92,f96]) ).

fof(f96,plain,
    ( spl0_4
  <=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f92,plain,
    ( spl0_3
  <=> greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f457,plain,
    ( greater(capability(sk1,sk3),capability(sk1,sk2))
    | ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    inference(subsumption_resolution,[],[f281,f24]) ).

fof(f281,plain,
    ( greater(capability(sk1,sk3),capability(sk1,sk2))
    | ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | ~ organization(sk1) ),
    inference(resolution,[],[f67,f16]) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
      | greater(capability(X0,X1),capability(X0,X2))
      | ~ organization(X0)
      | ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_45) ).

fof(f67,plain,
    greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
    inference(subsumption_resolution,[],[f64,f24]) ).

fof(f64,plain,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | ~ organization(sk1) ),
    inference(resolution,[],[f21,f26]) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(age(X0,X1),age(X0,X2))
      | greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
      | ~ organization(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7_50) ).

fof(f456,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f451]) ).

fof(f451,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f227,f29]) ).

fof(f29,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | smaller_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).

fof(f227,plain,
    ( ! [X0] : ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,sk2))
    | spl0_4 ),
    inference(superposition,[],[f98,f53]) ).

fof(f53,plain,
    ! [X0,X1] : internal_friction(sk1,X0) = internal_friction(sk1,X1),
    inference(resolution,[],[f23,f24]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | internal_friction(X0,X1) = internal_friction(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9_52) ).

fof(f98,plain,
    ( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f207,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f206]) ).

fof(f206,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f205,f24]) ).

fof(f205,plain,
    ( ~ organization(sk1)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f204,f25]) ).

fof(f25,axiom,
    ~ has_endowment(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_1_54) ).

fof(f204,plain,
    ( has_endowment(sk1)
    | ~ organization(sk1)
    | ~ spl0_8 ),
    inference(resolution,[],[f155,f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | has_endowment(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_41) ).

fof(f155,plain,
    ( has_immunity(sk1,sk3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl0_8
  <=> has_immunity(sk1,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f164,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f163]) ).

fof(f163,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f162,f24]) ).

fof(f162,plain,
    ( ~ organization(sk1)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f161,f25]) ).

fof(f161,plain,
    ( has_endowment(sk1)
    | ~ organization(sk1)
    | ~ spl0_7 ),
    inference(resolution,[],[f151,f12]) ).

fof(f151,plain,
    ( has_immunity(sk1,sk2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl0_7
  <=> has_immunity(sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f160,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f147,f92,f157,f153,f149]) ).

fof(f147,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | has_immunity(sk1,sk3)
    | has_immunity(sk1,sk2)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f146,f27]) ).

fof(f27,axiom,
    ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_1_56) ).

fof(f146,plain,
    ( has_immunity(sk1,sk2)
    | ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | has_immunity(sk1,sk3)
    | smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f141,f24]) ).

fof(f141,plain,
    ( has_immunity(sk1,sk3)
    | ~ organization(sk1)
    | smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | has_immunity(sk1,sk2)
    | ~ spl0_3 ),
    inference(resolution,[],[f94,f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(capability(X0,X2),capability(X0,X1))
      | has_immunity(X0,X1)
      | smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | has_immunity(X0,X2)
      | ~ organization(X0)
      | ~ greater_or_equal(position(X0,X2),position(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_42) ).

fof(f94,plain,
    ( greater(capability(sk1,sk3),capability(sk1,sk2))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f92]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT046-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 03:22:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (18270)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.48  % (18262)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48  % (18262)Instruction limit reached!
% 0.19/0.48  % (18262)------------------------------
% 0.19/0.48  % (18262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (18262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (18262)Termination reason: Unknown
% 0.19/0.50  % (18262)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (18262)Memory used [KB]: 1407
% 0.19/0.50  % (18262)Time elapsed: 0.003 s
% 0.19/0.50  % (18262)Instructions burned: 2 (million)
% 0.19/0.50  % (18262)------------------------------
% 0.19/0.50  % (18262)------------------------------
% 0.19/0.51  % (18250)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51  % (18270)First to succeed.
% 0.19/0.51  % (18270)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (18270)------------------------------
% 0.19/0.51  % (18270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (18270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (18270)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (18270)Memory used [KB]: 6140
% 0.19/0.51  % (18270)Time elapsed: 0.094 s
% 0.19/0.51  % (18270)Instructions burned: 20 (million)
% 0.19/0.51  % (18270)------------------------------
% 0.19/0.51  % (18270)------------------------------
% 0.19/0.51  % (18245)Success in time 0.165 s
%------------------------------------------------------------------------------