TSTP Solution File: RNG037-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG037-2 : 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 : n016.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 08:53:45 EDT 2024

% Result   : Unsatisfiable 0.63s 0.79s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   41 (  23   ~;  16   |;   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   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(subsumption_resolution,[],[f144,f96]) ).

fof(f96,plain,
    ! [X0] : ~ sP7(X0,d,additive_identity,c),
    inference(unit_resulting_resolution,[],[f26,f55,f45]) ).

fof(f45,plain,
    ! [X0,X8,X6,X9,X7] :
      ( ~ sP7(X0,X6,X8,X7)
      | ~ product(X0,X8,X9)
      | sum(X6,X7,X9) ),
    inference(general_splitting,[],[f43,f44_D]) ).

fof(f44,plain,
    ! [X0,X1,X8,X6,X7] :
      ( ~ sP6(X1,X0,X8,X7)
      | ~ product(X0,X1,X6)
      | sP7(X0,X6,X8,X7) ),
    inference(cnf_transformation,[],[f44_D]) ).

fof(f44_D,plain,
    ! [X7,X8,X6,X0] :
      ( ! [X1] :
          ( ~ sP6(X1,X0,X8,X7)
          | ~ product(X0,X1,X6) )
    <=> ~ sP7(X0,X6,X8,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f43,plain,
    ! [X0,X1,X8,X6,X9,X7] :
      ( sum(X6,X7,X9)
      | ~ product(X0,X8,X9)
      | ~ product(X0,X1,X6)
      | ~ sP6(X1,X0,X8,X7) ),
    inference(general_splitting,[],[f19,f42_D]) ).

fof(f42,plain,
    ! [X3,X0,X1,X8,X7] :
      ( ~ product(X0,X3,X7)
      | ~ sum(X1,X3,X8)
      | sP6(X1,X0,X8,X7) ),
    inference(cnf_transformation,[],[f42_D]) ).

fof(f42_D,plain,
    ! [X7,X8,X0,X1] :
      ( ! [X3] :
          ( ~ product(X0,X3,X7)
          | ~ sum(X1,X3,X8) )
    <=> ~ sP6(X1,X0,X8,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f19,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( sum(X6,X7,X9)
      | ~ product(X0,X8,X9)
      | ~ sum(X1,X3,X8)
      | ~ product(X0,X3,X7)
      | ~ product(X0,X1,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.07AuFdsfEH/Vampire---4.8_12966',distributivity1) ).

fof(f55,plain,
    ~ sum(d,c,additive_identity),
    inference(unit_resulting_resolution,[],[f29,f16]) ).

fof(f16,axiom,
    ! [X3,X0,X1] :
      ( ~ sum(X0,X1,X3)
      | sum(X1,X0,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.07AuFdsfEH/Vampire---4.8_12966',commutativity_of_addition) ).

fof(f29,axiom,
    ~ sum(c,d,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.07AuFdsfEH/Vampire---4.8_12966',prove_sum_is_additive_identity) ).

fof(f26,axiom,
    ! [X0] : product(X0,additive_identity,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.07AuFdsfEH/Vampire---4.8_12966',multiplicative_identity2) ).

fof(f144,plain,
    sP7(a,d,additive_identity,c),
    inference(unit_resulting_resolution,[],[f27,f108,f44]) ).

fof(f108,plain,
    sP6(b,a,additive_identity,c),
    inference(unit_resulting_resolution,[],[f13,f28,f42]) ).

fof(f28,axiom,
    product(a,additive_inverse(b),c),
    file('/export/starexec/sandbox/tmp/tmp.07AuFdsfEH/Vampire---4.8_12966',a_inverse_times_b) ).

fof(f13,axiom,
    ! [X0] : sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.07AuFdsfEH/Vampire---4.8_12966',additive_inverse2) ).

fof(f27,axiom,
    product(a,b,d),
    file('/export/starexec/sandbox/tmp/tmp.07AuFdsfEH/Vampire---4.8_12966',a_times_b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : RNG037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 18:20:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  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.07AuFdsfEH/Vampire---4.8_12966
% 0.63/0.78  % (13223)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)
% 0.63/0.78  % (13226)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)
% 0.63/0.78  % (13227)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)
% 0.63/0.78  % (13225)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.78  % (13224)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)
% 0.63/0.78  % (13228)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)
% 0.63/0.78  % (13229)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)
% 0.63/0.78  % (13230)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)
% 0.63/0.78  % (13226)Also succeeded, but the first one will report.
% 0.63/0.78  % (13229)First to succeed.
% 0.63/0.79  % (13229)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13213"
% 0.63/0.79  % (13229)Refutation found. Thanks to Tanya!
% 0.63/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.79  % (13229)------------------------------
% 0.63/0.79  % (13229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (13229)Termination reason: Refutation
% 0.63/0.79  
% 0.63/0.79  % (13229)Memory used [KB]: 1071
% 0.63/0.79  % (13229)Time elapsed: 0.006 s
% 0.63/0.79  % (13229)Instructions burned: 7 (million)
% 0.63/0.79  % (13213)Success in time 0.427 s
% 0.63/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------