TSTP Solution File: MSC008-2.002 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MSC008-2.002 : 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 : n017.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 03:22:14 EDT 2024

% Result   : Unsatisfiable 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   64 (   5 unt;   0 def)
%            Number of atoms       :  169 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  205 ( 100   ~;  98   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   8 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   76 (  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f62,f75,f98,f115,f126,f139,f145]) ).

fof(f145,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(resolution,[],[f97,f138]) ).

fof(f138,plain,
    ( ! [X1] : ~ greek(p1,p1,X1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl0_8
  <=> ! [X1] : ~ greek(p1,p1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f97,plain,
    ( greek(p1,p1,p1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl0_7
  <=> greek(p1,p1,p1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f139,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f135,f92,f137]) ).

fof(f92,plain,
    ( spl0_6
  <=> ! [X0] : ~ latin(p2,p2,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ latin(p2,p2,X0)
      | ~ greek(p1,p1,X1) ),
    inference(subsumption_resolution,[],[f134,f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ latin(p2,p2,X0)
      | latin(p1,p1,X0) ),
    inference(resolution,[],[f56,f12]) ).

fof(f12,axiom,
    ! [X8,X9] :
      ( latin(p2,X8,X9)
      | latin(p1,X8,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',latin_row_required) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ latin(X0,p1,X1)
      | ~ latin(X0,p2,X1) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ~ eq(p1,p2),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',p1_is_not_p2) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( eq(X3,X1)
      | ~ latin(X0,X3,X2)
      | ~ latin(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',latin_column_is_unique) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ latin(p2,p2,X0)
      | ~ latin(p1,p1,X0)
      | ~ greek(p1,p1,X1) ),
    inference(subsumption_resolution,[],[f133,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ greek(p2,X0,X1)
      | ~ greek(p1,X0,X1) ),
    inference(resolution,[],[f9,f1]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] :
      ( eq(X3,X0)
      | ~ greek(X3,X1,X2)
      | ~ greek(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',greek_row_is_unique) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ latin(p2,p2,X0)
      | greek(p2,p1,X1)
      | ~ latin(p1,p1,X0)
      | ~ greek(p1,p1,X1) ),
    inference(resolution,[],[f26,f19]) ).

fof(f19,plain,
    ~ eq(p2,p1),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( eq(X1,X0)
      | ~ eq(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',symmetry) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( eq(p2,X2)
      | ~ latin(p2,p2,X1)
      | greek(p2,p1,X0)
      | ~ latin(X2,X2,X1)
      | ~ greek(X2,X2,X0) ),
    inference(resolution,[],[f14,f17]) ).

fof(f17,plain,
    ! [X2,X3,X0,X1] :
      ( ~ greek(X0,X0,X3)
      | ~ latin(X0,X0,X2)
      | eq(X0,X1)
      | ~ latin(X1,X1,X2)
      | ~ greek(X1,X1,X3) ),
    inference(factoring,[],[f16]) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eq(X4,X0)
      | eq(X5,X1)
      | ~ latin(X4,X5,X3)
      | ~ greek(X4,X5,X2)
      | ~ latin(X0,X1,X3)
      | ~ greek(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',no_two_same) ).

fof(f14,axiom,
    ! [X12,X13] :
      ( greek(X12,p2,X13)
      | greek(X12,p1,X13) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',greek_column_required) ).

fof(f126,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f125]) ).

fof(f125,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f124,f93]) ).

fof(f93,plain,
    ( ! [X0] : ~ latin(p2,p2,X0)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f124,plain,
    ( latin(p2,p2,p1)
    | ~ spl0_6 ),
    inference(resolution,[],[f93,f10]) ).

fof(f10,axiom,
    ! [X4,X5] :
      ( latin(X4,X5,p2)
      | latin(X4,X5,p1) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',latin_cell_element) ).

fof(f115,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f114]) ).

fof(f114,plain,
    ( $false
    | spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f112,f35]) ).

fof(f35,plain,
    ( ~ greek(p2,p1,p2)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_2
  <=> greek(p2,p1,p2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f112,plain,
    ( greek(p2,p1,p2)
    | ~ spl0_3 ),
    inference(resolution,[],[f110,f15]) ).

fof(f15,axiom,
    ! [X14,X15] :
      ( greek(p1,X14,X15)
      | greek(p2,X14,X15) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',greek_row_required) ).

fof(f110,plain,
    ( ~ greek(p1,p1,p2)
    | ~ spl0_3 ),
    inference(resolution,[],[f70,f45]) ).

fof(f45,plain,
    ( greek(p1,p2,p2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl0_3
  <=> greek(p1,p2,p2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ greek(X0,p2,X1)
      | ~ greek(X0,p1,X1) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( eq(X3,X1)
      | ~ greek(X0,X3,X2)
      | ~ greek(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',greek_column_is_unique) ).

fof(f98,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f90,f31,f95,f92]) ).

fof(f31,plain,
    ( spl0_1
  <=> ! [X0,X1] :
        ( ~ latin(X0,X0,X1)
        | greek(X0,X0,p1)
        | ~ latin(p2,p2,X1)
        | eq(X0,p2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f90,plain,
    ( ! [X0] :
        ( greek(p1,p1,p1)
        | ~ latin(p2,p2,X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f89,f88]) ).

fof(f89,plain,
    ( ! [X0] :
        ( greek(p1,p1,p1)
        | ~ latin(p2,p2,X0)
        | ~ latin(p1,p1,X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f32,f1]) ).

fof(f32,plain,
    ( ! [X0,X1] :
        ( eq(X0,p2)
        | greek(X0,X0,p1)
        | ~ latin(p2,p2,X1)
        | ~ latin(X0,X0,X1) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f75,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f74]) ).

fof(f74,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f73,f69]) ).

fof(f69,plain,
    ( ! [X0] : ~ latin(p1,p2,X0)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f67,f56]) ).

fof(f67,plain,
    ( ! [X0] :
        ( ~ latin(p1,p2,X0)
        | latin(p1,p1,X0) )
    | ~ spl0_4 ),
    inference(resolution,[],[f49,f12]) ).

fof(f49,plain,
    ( ! [X0] :
        ( ~ latin(p2,p1,X0)
        | ~ latin(p1,p2,X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ latin(p2,p1,X0)
        | ~ latin(p1,p2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f73,plain,
    ( latin(p1,p2,p1)
    | ~ spl0_4 ),
    inference(resolution,[],[f69,f10]) ).

fof(f62,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f58,f44,f31]) ).

fof(f58,plain,
    ( ! [X0,X1] :
        ( ~ latin(X0,X0,X1)
        | eq(X0,p2)
        | ~ latin(p2,p2,X1)
        | greek(X0,X0,p1) )
    | spl0_3 ),
    inference(resolution,[],[f53,f22]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ greek(X2,X2,p2)
      | ~ latin(X0,X0,X1)
      | eq(X0,X2)
      | ~ latin(X2,X2,X1)
      | greek(X0,X0,p1) ),
    inference(resolution,[],[f13,f17]) ).

fof(f13,axiom,
    ! [X10,X11] :
      ( greek(X10,X11,p2)
      | greek(X10,X11,p1) ),
    file('/export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824',greek_cell_element) ).

fof(f53,plain,
    ( greek(p2,p2,p2)
    | spl0_3 ),
    inference(resolution,[],[f46,f15]) ).

fof(f46,plain,
    ( ~ greek(p1,p2,p2)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f50,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f42,f34,f48,f44]) ).

fof(f42,plain,
    ( ! [X0] :
        ( ~ latin(p2,p1,X0)
        | ~ latin(p1,p2,X0)
        | ~ greek(p1,p2,p2) )
    | ~ spl0_2 ),
    inference(resolution,[],[f38,f1]) ).

fof(f38,plain,
    ( ! [X0,X1] :
        ( eq(p1,X1)
        | ~ latin(p2,p1,X0)
        | ~ latin(p1,X1,X0)
        | ~ greek(p1,X1,p2) )
    | ~ spl0_2 ),
    inference(resolution,[],[f36,f21]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( ~ greek(p2,X0,X3)
      | ~ latin(p2,X0,X2)
      | eq(X0,X1)
      | ~ latin(p1,X1,X2)
      | ~ greek(p1,X1,X3) ),
    inference(resolution,[],[f19,f16]) ).

fof(f36,plain,
    ( greek(p2,p1,p2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MSC008-2.002 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % 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 : n017.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   : Tue Apr 30 16:03:04 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_EPR_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/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824
% 0.57/0.75  % (24084)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)
% 0.57/0.75  % (24083)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)
% 0.57/0.75  % (24084)Refutation not found, incomplete strategy% (24084)------------------------------
% 0.57/0.75  % (24084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (24084)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (24084)Memory used [KB]: 970
% 0.57/0.75  % (24084)Time elapsed: 0.002 s
% 0.57/0.75  % (24084)Instructions burned: 2 (million)
% 0.57/0.75  % (24077)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)
% 0.57/0.75  % (24084)------------------------------
% 0.57/0.75  % (24084)------------------------------
% 0.57/0.75  % (24079)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (24078)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)
% 0.57/0.75  % (24080)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)
% 0.57/0.75  % (24081)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)
% 0.57/0.75  % (24082)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)
% 0.57/0.75  % (24080)Refutation not found, incomplete strategy% (24080)------------------------------
% 0.57/0.75  % (24080)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (24080)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (24080)Memory used [KB]: 965
% 0.57/0.75  % (24080)Time elapsed: 0.003 s
% 0.57/0.75  % (24080)Instructions burned: 2 (million)
% 0.57/0.75  % (24080)------------------------------
% 0.57/0.75  % (24080)------------------------------
% 0.57/0.76  % (24079)First to succeed.
% 0.57/0.76  % (24086)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.61/0.76  % (24079)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (24079)------------------------------
% 0.61/0.76  % (24079)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (24079)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (24079)Memory used [KB]: 1084
% 0.61/0.76  % (24079)Time elapsed: 0.007 s
% 0.61/0.76  % (24079)Instructions burned: 10 (million)
% 0.61/0.76  % (24079)------------------------------
% 0.61/0.76  % (24079)------------------------------
% 0.61/0.76  % (24073)Success in time 0.389 s
% 0.61/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.61/0.76  24073 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.RLQrHAGJNf/Vampire---4.8_23824
% 0.61/0.76  % (24073)------------------------------
% 0.61/0.76  % (24073)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (24073)Termination reason: Unknown
% 0.61/0.76  % (24073)Termination phase: Unknown
% 0.61/0.76  
% 0.61/0.76  % (24073)Memory used [KB]: 442
% 0.61/0.76  % (24073)Time elapsed: 0.389 s
% 0.61/0.76  % (24073)Instructions burned: 953 (million)
% 0.61/0.76  % (24073)------------------------------
% 0.61/0.76  % (24073)------------------------------
% 0.61/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  ???
% 0.61/0.76   ???
% 0.61/0.76    ???
% 0.61/0.76     ???
% 0.61/0.76      ???
% 0.61/0.76       ???
% 0.61/0.76        ???
% 0.61/0.76         ???
% 0.61/0.76          ???
% 0.61/0.76           ???
% 0.61/0.76            ???
% 0.61/0.76             ???
% 0.61/0.76              ???
% 0.61/0.76               ???
% 0.61/0.76                ???
% 0.61/0.76                 ???
% 0.61/0.76                  ???
% 0.61/0.76                   ???
% 0.61/0.76                    ???
% 0.61/0.76                     ???
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------