TSTP Solution File: COM003-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM003-2 : TPTP v8.1.2. Released v1.1.0.
% 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 : n027.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 02:13:06 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   53 (   3 unt;   0 def)
%            Number of atoms       :  141 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  180 (  92   ~;  80   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   9 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f131,plain,
    $false,
    inference(avatar_sat_refutation,[],[f51,f59,f63,f67,f79,f104,f106,f114,f130]) ).

fof(f130,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f127]) ).

fof(f127,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(resolution,[],[f122,f66]) ).

fof(f66,plain,
    ( ! [X1] : program_not_halts2_halts2_outputs(c2,X1,bad)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl0_6
  <=> ! [X1] : program_not_halts2_halts2_outputs(c2,X1,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f122,plain,
    ( ! [X0,X1] : ~ program_not_halts2_halts2_outputs(X0,c3,X1)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f117,f31]) ).

fof(f31,axiom,
    ! [X3,X0,X1] :
      ( program_not_halts2(X1,X1)
      | ~ program_not_halts2_halts2_outputs(X0,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',program_not_halts2_halts2_outputs1) ).

fof(f117,plain,
    ( ! [X0] : ~ program_not_halts2(c3,X0)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f115,f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ~ halts2(X0,X1)
      | ~ program_not_halts2(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',program_not_halts3a) ).

fof(f115,plain,
    ( ! [X1] : halts2(c3,X1)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f78,f110]) ).

fof(f110,plain,
    ( ! [X0] : program_halts2(X0,X0)
    | ~ spl0_5 ),
    inference(resolution,[],[f62,f28]) ).

fof(f28,axiom,
    ! [X3,X0,X1] :
      ( ~ program_halts2_halts2_outputs(X0,X1,X3)
      | program_halts2(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',program_halts2_halts2_outputs1) ).

fof(f62,plain,
    ( ! [X1] : program_halts2_halts2_outputs(c2,X1,good)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_5
  <=> ! [X1] : program_halts2_halts2_outputs(c2,X1,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f78,plain,
    ( ! [X1] :
        ( halts2(c3,X1)
        | ~ program_halts2(X1,X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl0_9
  <=> ! [X1] :
        ( halts2(c3,X1)
        | ~ program_halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f114,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f113,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f112,f66]) ).

fof(f112,plain,
    ( ~ program_not_halts2_halts2_outputs(c2,f4(c2),bad)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f111,f58]) ).

fof(f58,plain,
    ( program(c2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_4
  <=> program(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f111,plain,
    ( ~ program(c2)
    | ~ program_not_halts2_halts2_outputs(c2,f4(c2),bad)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(resolution,[],[f62,f70]) ).

fof(f70,plain,
    ( ! [X4] :
        ( ~ program_halts2_halts2_outputs(X4,f4(X4),good)
        | ~ program(X4)
        | ~ program_not_halts2_halts2_outputs(X4,f4(X4),bad) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_7
  <=> ! [X4] :
        ( ~ program_not_halts2_halts2_outputs(X4,f4(X4),bad)
        | ~ program(X4)
        | ~ program_halts2_halts2_outputs(X4,f4(X4),good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f106,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f105]) ).

fof(f105,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f46,f43]) ).

fof(f43,axiom,
    algorithm_program_decides(c4),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',prove_algorithm_does_not_exist) ).

fof(f46,plain,
    ( ! [X0] : ~ algorithm_program_decides(X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_1
  <=> ! [X0] : ~ algorithm_program_decides(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f104,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f103]) ).

fof(f103,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f102,f96]) ).

fof(f96,plain,
    ( ! [X0,X1] : program_halts2_halts3_outputs(c1,X0,X1,good)
    | ~ spl0_2 ),
    inference(resolution,[],[f35,f50]) ).

fof(f50,plain,
    ( program_program_decides(c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_2
  <=> program_program_decides(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f35,axiom,
    ! [X2,X3,X1] :
      ( ~ program_program_decides(X3)
      | program_halts2_halts3_outputs(X3,X1,X2,good) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',axiom2_1) ).

fof(f102,plain,
    ( ~ program_halts2_halts3_outputs(c1,f3(c1),f3(c1),good)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f101,f85]) ).

fof(f85,plain,
    ( program(c1)
    | ~ spl0_2 ),
    inference(resolution,[],[f50,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ program_program_decides(X0)
      | program(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',program_program_decides1) ).

fof(f101,plain,
    ( ~ program(c1)
    | ~ program_halts2_halts3_outputs(c1,f3(c1),f3(c1),good)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f97,f54]) ).

fof(f54,plain,
    ( ! [X3] :
        ( ~ program_not_halts2_halts3_outputs(X3,f3(X3),f3(X3),bad)
        | ~ program(X3)
        | ~ program_halts2_halts3_outputs(X3,f3(X3),f3(X3),good) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl0_3
  <=> ! [X3] :
        ( ~ program_not_halts2_halts3_outputs(X3,f3(X3),f3(X3),bad)
        | ~ program(X3)
        | ~ program_halts2_halts3_outputs(X3,f3(X3),f3(X3),good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f97,plain,
    ( ! [X0,X1] : program_not_halts2_halts3_outputs(c1,X0,X1,bad)
    | ~ spl0_2 ),
    inference(resolution,[],[f36,f50]) ).

fof(f36,axiom,
    ! [X2,X3,X1] :
      ( ~ program_program_decides(X3)
      | program_not_halts2_halts3_outputs(X3,X1,X2,bad) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',axiom2_2) ).

fof(f79,plain,
    ( spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f41,f77,f69]) ).

fof(f41,axiom,
    ! [X1,X4] :
      ( halts2(c3,X1)
      | ~ program_halts2(X1,X1)
      | ~ program_not_halts2_halts2_outputs(X4,f4(X4),bad)
      | ~ program_halts2_halts2_outputs(X4,f4(X4),good)
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',axiom4_2) ).

fof(f67,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f39,f65,f53]) ).

fof(f39,axiom,
    ! [X3,X1] :
      ( program_not_halts2_halts2_outputs(c2,X1,bad)
      | ~ program_not_halts2_halts3_outputs(X3,f3(X3),f3(X3),bad)
      | ~ program_halts2_halts3_outputs(X3,f3(X3),f3(X3),good)
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',axiom3_3) ).

fof(f63,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f38,f61,f53]) ).

fof(f38,axiom,
    ! [X3,X1] :
      ( program_halts2_halts2_outputs(c2,X1,good)
      | ~ program_not_halts2_halts3_outputs(X3,f3(X3),f3(X3),bad)
      | ~ program_halts2_halts3_outputs(X3,f3(X3),f3(X3),good)
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',axiom3_2) ).

fof(f59,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f37,f56,f53]) ).

fof(f37,axiom,
    ! [X3] :
      ( program(c2)
      | ~ program_not_halts2_halts3_outputs(X3,f3(X3),f3(X3),bad)
      | ~ program_halts2_halts3_outputs(X3,f3(X3),f3(X3),good)
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',axiom3_1) ).

fof(f51,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f34,f48,f45]) ).

fof(f34,axiom,
    ! [X0] :
      ( program_program_decides(c1)
      | ~ algorithm_program_decides(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Wyardt9UkR/Vampire---4.8_2152',axiom1_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : COM003-2 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.15  % 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 : n027.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 19:09:18 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_NHN 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.Wyardt9UkR/Vampire---4.8_2152
% 0.56/0.76  % (2544)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)
% 0.56/0.76  % (2537)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)
% 0.56/0.76  % (2540)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)
% 0.56/0.76  % (2538)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)
% 0.56/0.76  % (2541)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)
% 0.56/0.76  % (2539)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (2542)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)
% 0.56/0.76  % (2543)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)
% 0.56/0.76  % (2544)First to succeed.
% 0.56/0.76  % (2542)Also succeeded, but the first one will report.
% 0.56/0.76  % (2544)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  % (2544)------------------------------
% 0.56/0.76  % (2544)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (2544)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (2544)Memory used [KB]: 1018
% 0.56/0.76  % (2544)Time elapsed: 0.003 s
% 0.56/0.76  % (2544)Instructions burned: 5 (million)
% 0.56/0.76  % (2544)------------------------------
% 0.56/0.76  % (2544)------------------------------
% 0.56/0.76  % (2405)Success in time 0.392 s
% 0.62/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------