TSTP Solution File: MGT057-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT057-1 : 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 : 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 : Wed Aug 31 17:51:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   56 (  25 unt;   0 def)
%            Number of atoms       :  104 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   92 (  44   ~;  45   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f254,plain,
    $false,
    inference(avatar_sat_refutation,[],[f48,f136,f182,f253]) ).

fof(f253,plain,
    ( spl6_1
    | spl6_7 ),
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | spl6_1
    | spl6_7 ),
    inference(subsumption_resolution,[],[f251,f106]) ).

fof(f106,plain,
    has_immunity(sk2,sk3),
    inference(subsumption_resolution,[],[f105,f57]) ).

fof(f57,plain,
    smaller_or_equal(zero,eta),
    inference(resolution,[],[f52,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).

fof(f52,plain,
    smaller(zero,eta),
    inference(resolution,[],[f8,f26]) ).

fof(f26,axiom,
    greater(eta,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_45) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | smaller(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).

fof(f105,plain,
    ( ~ smaller_or_equal(zero,eta)
    | has_immunity(sk2,sk3) ),
    inference(forward_demodulation,[],[f104,f31]) ).

fof(f31,plain,
    zero = sF0,
    inference(definition_folding,[],[f23,f30]) ).

fof(f30,plain,
    age(sk2,sk3) = sF0,
    introduced(function_definition,[]) ).

fof(f23,axiom,
    age(sk2,sk3) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_42) ).

fof(f104,plain,
    ( ~ smaller_or_equal(sF0,eta)
    | has_immunity(sk2,sk3) ),
    inference(subsumption_resolution,[],[f101,f22]) ).

fof(f22,axiom,
    has_endowment(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_41) ).

fof(f101,plain,
    ( ~ has_endowment(sk2)
    | has_immunity(sk2,sk3)
    | ~ smaller_or_equal(sF0,eta) ),
    inference(superposition,[],[f13,f30]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ smaller_or_equal(age(X0,X1),eta)
      | has_immunity(X0,X1)
      | ~ has_endowment(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_32) ).

fof(f251,plain,
    ( ~ has_immunity(sk2,sk3)
    | spl6_1
    | spl6_7 ),
    inference(subsumption_resolution,[],[f241,f43]) ).

fof(f43,plain,
    ( ~ greater(sF5,sF3)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl6_1
  <=> greater(sF5,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f241,plain,
    ( greater(sF5,sF3)
    | ~ has_immunity(sk2,sk3)
    | spl6_7 ),
    inference(superposition,[],[f198,f177]) ).

fof(f177,plain,
    hazard_of_mortality(sk2,sk3) = sF3,
    inference(resolution,[],[f174,f106]) ).

fof(f174,plain,
    ! [X1] :
      ( ~ has_immunity(sk2,X1)
      | sF3 = hazard_of_mortality(sk2,X1) ),
    inference(forward_demodulation,[],[f173,f36]) ).

fof(f36,plain,
    hazard_of_mortality(sk2,sk4) = sF3,
    introduced(function_definition,[]) ).

fof(f173,plain,
    ! [X1] :
      ( ~ has_immunity(sk2,X1)
      | hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X1) ),
    inference(subsumption_resolution,[],[f172,f21]) ).

fof(f21,axiom,
    organization(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_40) ).

fof(f172,plain,
    ! [X1] :
      ( ~ organization(sk2)
      | ~ has_immunity(sk2,X1)
      | hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X1) ),
    inference(resolution,[],[f19,f108]) ).

fof(f108,plain,
    has_immunity(sk2,sk4),
    inference(subsumption_resolution,[],[f107,f35]) ).

fof(f35,plain,
    smaller_or_equal(sF2,eta),
    inference(definition_folding,[],[f24,f34]) ).

fof(f34,plain,
    age(sk2,sk4) = sF2,
    introduced(function_definition,[]) ).

fof(f24,axiom,
    smaller_or_equal(age(sk2,sk4),eta),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_43) ).

fof(f107,plain,
    ( ~ smaller_or_equal(sF2,eta)
    | has_immunity(sk2,sk4) ),
    inference(subsumption_resolution,[],[f103,f22]) ).

fof(f103,plain,
    ( has_immunity(sk2,sk4)
    | ~ has_endowment(sk2)
    | ~ smaller_or_equal(sF2,eta) ),
    inference(superposition,[],[f13,f34]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ has_immunity(X0,X2)
      | hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_38) ).

fof(f198,plain,
    ( ! [X3] :
        ( greater(sF5,hazard_of_mortality(sk2,X3))
        | ~ has_immunity(sk2,X3) )
    | spl6_7 ),
    inference(subsumption_resolution,[],[f197,f112]) ).

fof(f112,plain,
    ( ~ has_immunity(sk2,sk5)
    | spl6_7 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl6_7
  <=> has_immunity(sk2,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f197,plain,
    ! [X3] :
      ( greater(sF5,hazard_of_mortality(sk2,X3))
      | has_immunity(sk2,sk5)
      | ~ has_immunity(sk2,X3) ),
    inference(subsumption_resolution,[],[f190,f21]) ).

fof(f190,plain,
    ! [X3] :
      ( ~ has_immunity(sk2,X3)
      | ~ organization(sk2)
      | greater(sF5,hazard_of_mortality(sk2,X3))
      | has_immunity(sk2,sk5) ),
    inference(superposition,[],[f20,f38]) ).

fof(f38,plain,
    hazard_of_mortality(sk2,sk5) = sF5,
    introduced(function_definition,[]) ).

fof(f20,axiom,
    ! [X2,X0,X1] :
      ( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | has_immunity(X0,X2)
      | ~ organization(X0)
      | ~ has_immunity(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_39) ).

fof(f182,plain,
    spl6_2,
    inference(avatar_split_clause,[],[f180,f45]) ).

fof(f45,plain,
    ( spl6_2
  <=> sF4 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f180,plain,
    sF4 = sF3,
    inference(superposition,[],[f37,f177]) ).

fof(f37,plain,
    hazard_of_mortality(sk2,sk3) = sF4,
    introduced(function_definition,[]) ).

fof(f136,plain,
    ~ spl6_7,
    inference(avatar_split_clause,[],[f135,f111]) ).

fof(f135,plain,
    ~ has_immunity(sk2,sk5),
    inference(subsumption_resolution,[],[f134,f33]) ).

fof(f33,plain,
    greater(sF1,eta),
    inference(definition_folding,[],[f25,f32]) ).

fof(f32,plain,
    age(sk2,sk5) = sF1,
    introduced(function_definition,[]) ).

fof(f25,axiom,
    greater(age(sk2,sk5),eta),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_44) ).

fof(f134,plain,
    ( ~ has_immunity(sk2,sk5)
    | ~ greater(sF1,eta) ),
    inference(subsumption_resolution,[],[f129,f22]) ).

fof(f129,plain,
    ( ~ has_endowment(sk2)
    | ~ has_immunity(sk2,sk5)
    | ~ greater(sF1,eta) ),
    inference(superposition,[],[f14,f32]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ~ greater(age(X0,X1),eta)
      | ~ has_endowment(X0)
      | ~ has_immunity(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_33) ).

fof(f48,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f39,f45,f41]) ).

fof(f39,plain,
    ( sF4 != sF3
    | ~ greater(sF5,sF3) ),
    inference(definition_folding,[],[f27,f36,f38,f37,f36]) ).

fof(f27,axiom,
    ( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
    | ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_46) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT057-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 03:43:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (11957)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (11955)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (11949)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (11963)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (11971)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  TRYING [2]
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (11950)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (11947)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (11948)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (11958)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (11973)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  TRYING [4]
% 0.20/0.53  % (11968)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (11954)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (11956)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (11954)Instruction limit reached!
% 0.20/0.53  % (11954)------------------------------
% 0.20/0.53  % (11954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (11954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (11954)Termination reason: Unknown
% 0.20/0.53  % (11954)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (11954)Memory used [KB]: 5373
% 0.20/0.53  % (11954)Time elapsed: 0.135 s
% 0.20/0.53  % (11954)Instructions burned: 3 (million)
% 0.20/0.53  % (11954)------------------------------
% 0.20/0.53  % (11954)------------------------------
% 0.20/0.53  % (11951)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (11971)First to succeed.
% 0.20/0.54  % (11952)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  TRYING [5]
% 0.20/0.54  % (11960)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (11967)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  TRYING [6]
% 0.20/0.54  % (11947)Refutation not found, incomplete strategy% (11947)------------------------------
% 0.20/0.54  % (11947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (11947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (11947)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (11947)Memory used [KB]: 5500
% 0.20/0.54  % (11947)Time elapsed: 0.136 s
% 0.20/0.54  % (11947)Instructions burned: 3 (million)
% 0.20/0.54  % (11947)------------------------------
% 0.20/0.54  % (11947)------------------------------
% 0.20/0.54  % (11974)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (11971)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (11971)------------------------------
% 0.20/0.54  % (11971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (11971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (11971)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (11971)Memory used [KB]: 5500
% 0.20/0.54  % (11971)Time elapsed: 0.135 s
% 0.20/0.54  % (11971)Instructions burned: 6 (million)
% 0.20/0.54  % (11971)------------------------------
% 0.20/0.54  % (11971)------------------------------
% 0.20/0.54  % (11945)Success in time 0.19 s
%------------------------------------------------------------------------------