TSTP Solution File: RNG005-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 : Sun May  5 08:53:17 EDT 2024

% Result   : Unsatisfiable 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   39 (  22   ~;  15   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(subsumption_resolution,[],[f170,f75]) ).

fof(f75,plain,
    sP2(additive_inverse(a),b,additive_identity,d),
    inference(unit_resulting_resolution,[],[f14,f29,f36]) ).

fof(f36,plain,
    ! [X3,X0,X1,X8,X7] :
      ( ~ product(X3,X0,X7)
      | ~ sum(X1,X3,X8)
      | sP2(X1,X0,X8,X7) ),
    inference(cnf_transformation,[],[f36_D]) ).

fof(f36_D,plain,
    ! [X7,X8,X0,X1] :
      ( ! [X3] :
          ( ~ product(X3,X0,X7)
          | ~ sum(X1,X3,X8) )
    <=> ~ sP2(X1,X0,X8,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f29,axiom,
    product(a,b,d),
    file('/export/starexec/sandbox/tmp/tmp.NenwkuU5nP/Vampire---4.8_21914',a_times_b) ).

fof(f14,axiom,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.NenwkuU5nP/Vampire---4.8_21914',left_inverse) ).

fof(f170,plain,
    ~ sP2(additive_inverse(a),b,additive_identity,d),
    inference(unit_resulting_resolution,[],[f30,f60,f38]) ).

fof(f38,plain,
    ! [X0,X1,X8,X6,X7] :
      ( ~ sP2(X1,X0,X8,X7)
      | ~ product(X1,X0,X6)
      | sP3(X0,X6,X8,X7) ),
    inference(cnf_transformation,[],[f38_D]) ).

fof(f38_D,plain,
    ! [X7,X8,X6,X0] :
      ( ! [X1] :
          ( ~ sP2(X1,X0,X8,X7)
          | ~ product(X1,X0,X6) )
    <=> ~ sP3(X0,X6,X8,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f60,plain,
    ! [X0] : ~ sP3(X0,c,additive_identity,d),
    inference(unit_resulting_resolution,[],[f27,f31,f39]) ).

fof(f39,plain,
    ! [X0,X8,X6,X9,X7] :
      ( ~ sP3(X0,X6,X8,X7)
      | ~ product(X8,X0,X9)
      | sum(X6,X7,X9) ),
    inference(general_splitting,[],[f37,f38_D]) ).

fof(f37,plain,
    ! [X0,X1,X8,X6,X9,X7] :
      ( sum(X6,X7,X9)
      | ~ product(X8,X0,X9)
      | ~ product(X1,X0,X6)
      | ~ sP2(X1,X0,X8,X7) ),
    inference(general_splitting,[],[f23,f36_D]) ).

fof(f23,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( sum(X6,X7,X9)
      | ~ product(X8,X0,X9)
      | ~ sum(X1,X3,X8)
      | ~ product(X3,X0,X7)
      | ~ product(X1,X0,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.NenwkuU5nP/Vampire---4.8_21914',distributivity3) ).

fof(f31,axiom,
    ~ sum(c,d,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.NenwkuU5nP/Vampire---4.8_21914',prove_sum_is_additive_identity) ).

fof(f27,axiom,
    ! [X0] : product(additive_identity,X0,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.NenwkuU5nP/Vampire---4.8_21914',multiplicative_identity1) ).

fof(f30,axiom,
    product(additive_inverse(a),b,c),
    file('/export/starexec/sandbox/tmp/tmp.NenwkuU5nP/Vampire---4.8_21914',a_inverse_times_b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.35  % Computer : n025.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Fri May  3 18:20:23 EDT 2024
% 0.16/0.35  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.NenwkuU5nP/Vampire---4.8_21914
% 0.55/0.74  % (22178)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 (2996ds/83Mi)
% 0.55/0.74  % (22172)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 (2996ds/34Mi)
% 0.55/0.74  % (22174)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (22175)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74  % (22173)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 (2996ds/51Mi)
% 0.55/0.74  % (22176)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 (2996ds/34Mi)
% 0.55/0.74  % (22177)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74  % (22178)First to succeed.
% 0.55/0.74  % (22178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22168"
% 0.55/0.74  % (22178)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (22178)------------------------------
% 0.55/0.74  % (22178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (22178)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (22178)Memory used [KB]: 1075
% 0.55/0.74  % (22178)Time elapsed: 0.004 s
% 0.55/0.74  % (22178)Instructions burned: 7 (million)
% 0.55/0.74  % (22168)Success in time 0.377 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------