TSTP Solution File: FLD008-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD008-4 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 : Mon May 20 19:54:43 EDT 2024

% Result   : Unsatisfiable 0.77s 0.94s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (  19 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  14   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f235,plain,
    $false,
    inference(subsumption_resolution,[],[f220,f103]) ).

fof(f103,plain,
    sum(additive_inverse(a),c,b),
    inference(unit_resulting_resolution,[],[f45,f31,f54,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | ~ sum(X4,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).

fof(f54,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(unit_resulting_resolution,[],[f27,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f31,axiom,
    sum(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).

fof(f45,plain,
    sum(additive_identity,b,b),
    inference(unit_resulting_resolution,[],[f28,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

fof(f220,plain,
    ~ sum(additive_inverse(a),c,b),
    inference(unit_resulting_resolution,[],[f55,f62,f117,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X4,X5,X2)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).

fof(f117,plain,
    ~ sum(d,c,additive_identity),
    inference(unit_resulting_resolution,[],[f114,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( sum(X3,X0,X5)
      | ~ sum(X0,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f114,plain,
    ~ sum(c,d,additive_identity),
    inference(unit_resulting_resolution,[],[f47,f63,f56,f1]) ).

fof(f56,plain,
    sum(additive_inverse(c),c,additive_identity),
    inference(unit_resulting_resolution,[],[f29,f4]) ).

fof(f29,axiom,
    defined(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).

fof(f63,plain,
    ~ sum(additive_inverse(c),additive_identity,d),
    inference(unit_resulting_resolution,[],[f33,f5]) ).

fof(f33,axiom,
    ~ sum(additive_identity,additive_inverse(c),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).

fof(f47,plain,
    sum(additive_identity,d,d),
    inference(unit_resulting_resolution,[],[f30,f3]) ).

fof(f30,axiom,
    defined(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).

fof(f62,plain,
    sum(additive_inverse(b),additive_inverse(a),d),
    inference(unit_resulting_resolution,[],[f32,f5]) ).

fof(f32,axiom,
    sum(additive_inverse(a),additive_inverse(b),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).

fof(f55,plain,
    sum(additive_inverse(b),b,additive_identity),
    inference(unit_resulting_resolution,[],[f28,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : FLD008-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 21:53:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37  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/benchmark/theBenchmark.p
% 0.72/0.93  % (14933)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.72/0.93  % (14935)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 theBenchmark for (2994ds/34Mi)
% 0.72/0.93  % (14931)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 theBenchmark for (2994ds/34Mi)
% 0.72/0.93  % (14934)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.72/0.93  % (14936)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.72/0.93  % (14932)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 theBenchmark for (2994ds/51Mi)
% 0.72/0.93  % (14937)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 theBenchmark for (2994ds/83Mi)
% 0.72/0.93  % (14938)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.72/0.94  % (14934)First to succeed.
% 0.72/0.94  % (14934)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14930"
% 0.77/0.94  % (14937)Also succeeded, but the first one will report.
% 0.77/0.94  % (14934)Refutation found. Thanks to Tanya!
% 0.77/0.94  % SZS status Unsatisfiable for theBenchmark
% 0.77/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.77/0.94  % (14934)------------------------------
% 0.77/0.94  % (14934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.94  % (14934)Termination reason: Refutation
% 0.77/0.94  
% 0.77/0.94  % (14934)Memory used [KB]: 1089
% 0.77/0.94  % (14934)Time elapsed: 0.010 s
% 0.77/0.94  % (14934)Instructions burned: 15 (million)
% 0.77/0.94  % (14930)Success in time 0.555 s
% 0.77/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------