TSTP Solution File: RNG002-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG002-1 : 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/sandbox/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 : Wed May  1 03:40:57 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   37 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  24   ~;  17   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f143,plain,
    $false,
    inference(resolution,[],[f133,f5]) ).

fof(f5,axiom,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',left_inverse) ).

fof(f133,plain,
    ! [X0] : ~ sum(X0,a,additive_identity),
    inference(subsumption_resolution,[],[f132,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( sum(X0,d,b)
      | ~ sum(X0,a,additive_identity) ),
    inference(resolution,[],[f31,f1]) ).

fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',additive_identity1) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X2,b,X1)
      | sum(X0,d,X1)
      | ~ sum(X0,a,X2) ),
    inference(resolution,[],[f18,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X0,X4,X5)
      | ~ sum(X2,X3,X5)
      | ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',associativity_of_addition1) ).

fof(f18,axiom,
    sum(a,b,d),
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',a_plus_b_is_d) ).

fof(f132,plain,
    ! [X0] :
      ( ~ sum(X0,d,b)
      | ~ sum(X0,a,additive_identity) ),
    inference(resolution,[],[f83,f19]) ).

fof(f19,axiom,
    sum(a,c,d),
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',a_plus_c_is_d) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X2,c,X1)
      | ~ sum(X0,X1,b)
      | ~ sum(X0,X2,additive_identity) ),
    inference(resolution,[],[f64,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X2,X3,X5)
      | ~ sum(X0,X4,X5)
      | ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',associativity_of_addition2) ).

fof(f64,plain,
    ~ sum(additive_identity,c,b),
    inference(resolution,[],[f28,f1]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X1,c)
      | ~ sum(X0,X1,b) ),
    inference(resolution,[],[f24,f22]) ).

fof(f22,plain,
    ! [X2,X0,X1,X4] :
      ( sQ0_eqProxy(X2,X4)
      | ~ sum(X0,X1,X4)
      | ~ sum(X0,X1,X2) ),
    inference(equality_proxy_replacement,[],[f16,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f16,axiom,
    ! [X2,X0,X1,X4] :
      ( X2 = X4
      | ~ sum(X0,X1,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',addition_is_well_defined) ).

fof(f24,plain,
    ~ sQ0_eqProxy(b,c),
    inference(equality_proxy_replacement,[],[f20,f21]) ).

fof(f20,axiom,
    b != c,
    file('/export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407',prove_b_equals_c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 17:25:41 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36  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.x8xNKfFOHX/Vampire---4.8_27407
% 0.56/0.75  % (27670)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)
% 0.56/0.75  % (27664)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)
% 0.56/0.75  % (27667)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)
% 0.56/0.75  % (27666)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (27665)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)
% 0.56/0.75  % (27668)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)
% 0.56/0.75  % (27669)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)
% 0.56/0.75  % (27670)Refutation not found, incomplete strategy% (27670)------------------------------
% 0.56/0.75  % (27670)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (27670)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (27670)Memory used [KB]: 990
% 0.56/0.75  % (27670)Time elapsed: 0.002 s
% 0.56/0.75  % (27670)Instructions burned: 4 (million)
% 0.56/0.75  % (27670)------------------------------
% 0.56/0.75  % (27670)------------------------------
% 0.56/0.75  % (27667)Refutation not found, incomplete strategy% (27667)------------------------------
% 0.56/0.75  % (27667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (27667)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (27667)Memory used [KB]: 977
% 0.56/0.75  % (27667)Time elapsed: 0.003 s
% 0.56/0.75  % (27667)Instructions burned: 2 (million)
% 0.56/0.75  % (27667)------------------------------
% 0.56/0.75  % (27667)------------------------------
% 0.56/0.75  % (27671)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 (2996ds/56Mi)
% 0.56/0.75  % (27672)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.75  % (27668)First to succeed.
% 0.56/0.75  % (27672)Refutation not found, incomplete strategy% (27672)------------------------------
% 0.56/0.75  % (27672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (27672)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.76  % (27672)Memory used [KB]: 976
% 0.56/0.76  % (27672)Time elapsed: 0.004 s
% 0.56/0.76  % (27672)Instructions burned: 2 (million)
% 0.56/0.76  % (27672)------------------------------
% 0.56/0.76  % (27672)------------------------------
% 0.56/0.76  % (27668)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (27668)------------------------------
% 0.56/0.76  % (27668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (27668)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (27668)Memory used [KB]: 1076
% 0.56/0.76  % (27668)Time elapsed: 0.008 s
% 0.56/0.76  % (27668)Instructions burned: 13 (million)
% 0.56/0.76  % (27668)------------------------------
% 0.56/0.76  % (27668)------------------------------
% 0.56/0.76  % (27659)Success in time 0.381 s
% 0.56/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.56/0.76  27659 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.x8xNKfFOHX/Vampire---4.8_27407
% 0.56/0.76  % (27659)------------------------------
% 0.56/0.76  % (27659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (27659)Termination reason: Unknown
% 0.56/0.76  % (27659)Termination phase: Unknown
% 0.56/0.76  
% 0.56/0.76  % (27659)Memory used [KB]: 451
% 0.56/0.76  % (27659)Time elapsed: 0.381 s
% 0.56/0.76  % (27659)Instructions burned: 953 (million)
% 0.56/0.76  % (27659)------------------------------
% 0.56/0.76  % (27659)------------------------------
% 0.56/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  ???
% 0.56/0.76   ???
% 0.56/0.76    ???
% 0.56/0.76     ???
% 0.56/0.76      ???
% 0.56/0.76       ???
% 0.56/0.76        ???
% 0.56/0.76         ???
% 0.56/0.76          ???
% 0.56/0.76           ???
% 0.56/0.76            ???
% 0.56/0.76             ???
% 0.56/0.76              ???
% 0.56/0.76               ???
% 0.56/0.76                ???
% 0.56/0.76                 ???
% 0.56/0.76                  ???
% 0.56/0.76                   ???
% 0.56/0.76                    ???
% 0.56/0.76                     ???
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------