TSTP Solution File: FLD050-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 May  1 02:20:02 EDT 2024

% Result   : Unsatisfiable 0.64s 0.83s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   35 (  24 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   49 (  27   ~;  20   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-1 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f770,plain,
    $false,
    inference(subsumption_resolution,[],[f757,f428]) ).

fof(f428,plain,
    sP6(multiplicative_inverse(d),c,s,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f38,f184,f51]) ).

fof(f51,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X2)
      | product(X4,X5,X2)
      | sP6(X5,X4,X0,X1) ),
    inference(cnf_transformation,[],[f51_D]) ).

fof(f51_D,plain,
    ! [X1,X0,X4,X5] :
      ( ! [X2] :
          ( ~ product(X0,X1,X2)
          | product(X4,X5,X2) )
    <=> ~ sP6(X5,X4,X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f184,plain,
    product(s,multiplicative_identity,s),
    inference(unit_resulting_resolution,[],[f65,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( ~ product(X0,X3,X5)
      | product(X3,X0,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',commutativity_multiplication) ).

fof(f65,plain,
    product(multiplicative_identity,s,s),
    inference(unit_resulting_resolution,[],[f32,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',existence_of_identity_multiplication) ).

fof(f32,axiom,
    defined(s),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',s_is_defined) ).

fof(f38,axiom,
    ~ product(c,multiplicative_inverse(d),s),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',not_product_12) ).

fof(f757,plain,
    ~ sP6(multiplicative_inverse(d),c,s,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f376,f753,f52]) ).

fof(f52,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP6(X5,X4,X0,X1)
      | ~ product(X0,X3,X4)
      | ~ product(X3,X5,X1) ),
    inference(general_splitting,[],[f7,f51_D]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X2)
      | ~ product(X3,X5,X1)
      | ~ product(X0,X3,X4)
      | product(X4,X5,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',associativity_multiplication_2) ).

fof(f753,plain,
    product(s,d,c),
    inference(unit_resulting_resolution,[],[f733,f450,f51]) ).

fof(f450,plain,
    ~ sP6(d,s,multiplicative_inverse(b),k),
    inference(unit_resulting_resolution,[],[f36,f89,f52]) ).

fof(f89,plain,
    product(multiplicative_inverse(b),a,s),
    inference(unit_resulting_resolution,[],[f35,f10]) ).

fof(f35,axiom,
    product(a,multiplicative_inverse(b),s),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',product_9) ).

fof(f36,axiom,
    product(a,d,k),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',product_10) ).

fof(f733,plain,
    product(multiplicative_inverse(b),k,c),
    inference(unit_resulting_resolution,[],[f59,f201,f53]) ).

fof(f53,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ product(X4,X5,X2)
      | product(X0,X1,X2)
      | sP7(X4,X0,X5,X1) ),
    inference(cnf_transformation,[],[f53_D]) ).

fof(f53_D,plain,
    ! [X1,X5,X0,X4] :
      ( ! [X2] :
          ( ~ product(X4,X5,X2)
          | product(X0,X1,X2) )
    <=> ~ sP7(X4,X0,X5,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f201,plain,
    ~ sP7(multiplicative_identity,multiplicative_inverse(b),c,k),
    inference(unit_resulting_resolution,[],[f37,f67,f54]) ).

fof(f54,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP7(X4,X0,X5,X1)
      | ~ product(X0,X3,X4)
      | ~ product(X3,X5,X1) ),
    inference(general_splitting,[],[f6,f53_D]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X5,X2)
      | ~ product(X3,X5,X1)
      | ~ product(X0,X3,X4)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',associativity_multiplication_1) ).

fof(f67,plain,
    product(multiplicative_inverse(b),b,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f28,f33,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',existence_of_inverse_multiplication) ).

fof(f33,axiom,
    ~ sum(additive_identity,b,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',not_sum_7) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',b_is_defined) ).

fof(f37,axiom,
    product(b,c,k),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',product_11) ).

fof(f59,plain,
    product(multiplicative_identity,c,c),
    inference(unit_resulting_resolution,[],[f29,f8]) ).

fof(f29,axiom,
    defined(c),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',c_is_defined) ).

fof(f376,plain,
    product(d,multiplicative_inverse(d),multiplicative_identity),
    inference(unit_resulting_resolution,[],[f73,f10]) ).

fof(f73,plain,
    product(multiplicative_inverse(d),d,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f30,f34,f9]) ).

fof(f34,axiom,
    ~ sum(additive_identity,d,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',not_sum_8) ).

fof(f30,axiom,
    defined(d),
    file('/export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539',d_is_defined) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 18:09:03 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539
% 0.64/0.81  % (23657)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.64/0.81  % (23655)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81  % (23653)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.64/0.81  % (23656)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.81  % (23654)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.64/0.81  % (23658)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.81  % (23659)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.64/0.81  % (23660)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.64/0.83  % (23657)Instruction limit reached!
% 0.64/0.83  % (23657)------------------------------
% 0.64/0.83  % (23657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (23657)Termination reason: Unknown
% 0.64/0.83  % (23657)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (23657)Memory used [KB]: 1274
% 0.64/0.83  % (23657)Time elapsed: 0.017 s
% 0.64/0.83  % (23657)Instructions burned: 35 (million)
% 0.64/0.83  % (23657)------------------------------
% 0.64/0.83  % (23657)------------------------------
% 0.64/0.83  % (23656)Instruction limit reached!
% 0.64/0.83  % (23656)------------------------------
% 0.64/0.83  % (23656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (23656)Termination reason: Unknown
% 0.64/0.83  % (23656)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (23656)Memory used [KB]: 1139
% 0.64/0.83  % (23656)Time elapsed: 0.018 s
% 0.64/0.83  % (23656)Instructions burned: 35 (million)
% 0.64/0.83  % (23656)------------------------------
% 0.64/0.83  % (23656)------------------------------
% 0.64/0.83  % (23659)First to succeed.
% 0.64/0.83  % (23653)Instruction limit reached!
% 0.64/0.83  % (23653)------------------------------
% 0.64/0.83  % (23653)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (23653)Termination reason: Unknown
% 0.64/0.83  % (23653)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (23653)Memory used [KB]: 1182
% 0.64/0.83  % (23653)Time elapsed: 0.020 s
% 0.64/0.83  % (23653)Instructions burned: 35 (million)
% 0.64/0.83  % (23653)------------------------------
% 0.64/0.83  % (23653)------------------------------
% 0.64/0.83  % (23659)Refutation found. Thanks to Tanya!
% 0.64/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.83  % (23659)------------------------------
% 0.64/0.83  % (23659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (23659)Termination reason: Refutation
% 0.64/0.83  
% 0.64/0.83  % (23659)Memory used [KB]: 1345
% 0.64/0.83  % (23659)Time elapsed: 0.019 s
% 0.64/0.83  % (23659)Instructions burned: 34 (million)
% 0.64/0.83  % (23659)------------------------------
% 0.64/0.83  % (23659)------------------------------
% 0.64/0.83  % (23651)Success in time 0.495 s
% 0.64/0.83  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.64/0.83  23651 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.L1ufUcqJT8/Vampire---4.8_23539
% 0.64/0.83  % (23651)------------------------------
% 0.64/0.83  % (23651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (23651)Termination reason: Unknown
% 0.64/0.83  % (23651)Termination phase: Unknown
% 0.64/0.83  
% 0.64/0.83  % (23651)Memory used [KB]: 456
% 0.64/0.83  % (23651)Time elapsed: 0.495 s
% 0.64/0.83  % (23651)Instructions burned: 954 (million)
% 0.64/0.83  % (23651)------------------------------
% 0.64/0.83  % (23651)------------------------------
% 0.64/0.83  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  ???
% 0.64/0.83   ???
% 0.64/0.83    ???
% 0.64/0.83     ???
% 0.64/0.83      ???
% 0.64/0.83       ???
% 0.64/0.83        ???
% 0.64/0.83         ???
% 0.64/0.83          ???
% 0.64/0.83           ???
% 0.64/0.83            ???
% 0.64/0.83             ???
% 0.64/0.83              ???
% 0.64/0.83               ???
% 0.64/0.83                ???
% 0.64/0.83                 ???
% 0.64/0.83                  ???
% 0.64/0.83                   ???
% 0.64/0.83                    ???
% 0.64/0.83                     ???
% 0.64/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------