TSTP Solution File: RNG041-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG041-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 08:53:46 EDT 2024

% Result   : Unsatisfiable 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   18 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(subsumption_resolution,[],[f98,f80]) ).

fof(f80,plain,
    ~ product(a,multiplicative_identity,additive_identity),
    inference(unit_resulting_resolution,[],[f20,f25,f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1,X4] :
      ( X2 = X4
      | ~ product(X0,X1,X4)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',multiplication_is_well_defined) ).

fof(f25,axiom,
    additive_identity != a,
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',a_not_additive_identity) ).

fof(f20,axiom,
    ! [X10] : product(X10,multiplicative_identity,X10),
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',right_multiplicative_identity) ).

fof(f98,plain,
    product(a,multiplicative_identity,additive_identity),
    inference(unit_resulting_resolution,[],[f28,f24,f18,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X0,X4,X5)
      | ~ product(X2,X3,X5)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',associativity_of_multiplication1) ).

fof(f18,axiom,
    ! [X10] : product(additive_identity,X10,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',multiplicative_identity1) ).

fof(f24,axiom,
    product(a,b,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',a_times_b) ).

fof(f28,plain,
    product(b,h(b),multiplicative_identity),
    inference(unit_resulting_resolution,[],[f26,f22]) ).

fof(f22,axiom,
    ! [X10] :
      ( product(X10,h(X10),multiplicative_identity)
      | additive_identity = X10 ),
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',clause41) ).

fof(f26,axiom,
    additive_identity != b,
    file('/export/starexec/sandbox2/tmp/tmp.c6ZgAEJNSq/Vampire---4.8_28346',prove_b_is_additive_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13  % 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
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 18:14:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  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.c6ZgAEJNSq/Vampire---4.8_28346
% 0.51/0.73  % (28454)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)
% 0.51/0.73  % (28456)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.73  % (28458)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)
% 0.51/0.73  % (28459)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)
% 0.51/0.73  % (28455)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)
% 0.51/0.73  % (28457)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)
% 0.51/0.74  % (28457)First to succeed.
% 0.51/0.74  % (28457)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28453"
% 0.57/0.74  % (28457)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (28457)------------------------------
% 0.57/0.74  % (28457)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (28457)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (28457)Memory used [KB]: 1056
% 0.57/0.74  % (28457)Time elapsed: 0.004 s
% 0.57/0.74  % (28457)Instructions burned: 5 (million)
% 0.57/0.74  % (28453)Success in time 0.381 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------