TSTP Solution File: GRP123-7.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP123-7.003 : TPTP v8.2.0. Released v1.2.0.
% 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 : 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 : Mon May 20 21:06:37 EDT 2024

% Result   : Unsatisfiable 0.70s 0.86s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   68 (  15 unt;   0 def)
%            Number of atoms       :  171 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  180 (  77   ~;  94   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;  10 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f173,plain,
    $false,
    inference(avatar_sat_refutation,[],[f61,f96,f105,f111,f133,f153,f159,f161,f170,f172]) ).

fof(f172,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f171]) ).

fof(f171,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f87,f8]) ).

fof(f8,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

fof(f87,plain,
    ( ~ group_element(e_2)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl0_5
  <=> group_element(e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f170,plain,
    ( ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f169]) ).

fof(f169,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(resolution,[],[f162,f10]) ).

fof(f10,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

fof(f162,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(resolution,[],[f132,f113]) ).

fof(f113,plain,
    ( ! [X0] :
        ( ~ product1(X0,e_3,e_1)
        | equalish(X0,e_2) )
    | ~ spl0_7 ),
    inference(resolution,[],[f95,f19]) ).

fof(f19,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product1(X4,X1,X0)
      | equalish(X3,X4)
      | ~ product1(X3,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).

fof(f95,plain,
    ( product1(e_2,e_3,e_1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_7
  <=> product1(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f132,plain,
    ( product1(e_1,e_3,e_1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl0_12
  <=> product1(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f161,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f160]) ).

fof(f160,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f128,f7]) ).

fof(f7,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

fof(f128,plain,
    ( ~ group_element(e_1)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl0_11
  <=> group_element(e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f159,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f158]) ).

fof(f158,plain,
    ( $false
    | ~ spl0_10 ),
    inference(resolution,[],[f154,f13]) ).

fof(f13,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

fof(f154,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_10 ),
    inference(resolution,[],[f124,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ product2(X1,X0,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f23,f25]) ).

fof(f25,axiom,
    ! [X0] : product2(X0,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).

fof(f23,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product2(X0,X4,X1)
      | equalish(X3,X4)
      | ~ product2(X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_right_cancellation) ).

fof(f124,plain,
    ( product2(e_3,e_2,e_3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl0_10
  <=> product2(e_3,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f153,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f152,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(resolution,[],[f151,f14]) ).

fof(f14,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

fof(f151,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(resolution,[],[f147,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ product2(X1,X1,X0)
      | equalish(X0,X1) ),
    inference(resolution,[],[f22,f25]) ).

fof(f22,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product2(X0,X1,X4)
      | equalish(X3,X4)
      | ~ product2(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).

fof(f147,plain,
    ( product2(e_1,e_1,e_3)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(resolution,[],[f116,f120]) ).

fof(f120,plain,
    ( product1(e_1,e_3,e_2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl0_9
  <=> product1(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f116,plain,
    ( ! [X0] :
        ( ~ product1(X0,e_3,e_2)
        | product2(e_1,X0,e_3) )
    | ~ spl0_7 ),
    inference(resolution,[],[f95,f26]) ).

fof(f26,axiom,
    ! [X0,X1,X6,X5] :
      ( ~ product1(X5,X1,X6)
      | product2(X6,X0,X1)
      | ~ product1(X0,X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).

fof(f133,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_1
    | spl0_12
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f112,f93,f130,f51,f126,f122,f118]) ).

fof(f51,plain,
    ( spl0_1
  <=> group_element(e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f112,plain,
    ( product1(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | product2(e_3,e_2,e_3)
    | product1(e_1,e_3,e_2)
    | ~ spl0_7 ),
    inference(resolution,[],[f95,f44]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ product1(X2,X1,X0)
      | product1(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0)
      | product2(e_3,X2,X1)
      | product1(X0,X1,e_2) ),
    inference(resolution,[],[f16,f26]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( product1(X0,X1,e_3)
      | product1(X0,X1,e_2)
      | product1(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).

fof(f111,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f91,f15]) ).

fof(f15,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f91,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl0_6
  <=> equalish(e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f105,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f104]) ).

fof(f104,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f53,f9]) ).

fof(f9,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

fof(f53,plain,
    ( ~ group_element(e_3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f96,plain,
    ( ~ spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f83,f59,f93,f89,f85]) ).

fof(f59,plain,
    ( spl0_3
  <=> ! [X0] :
        ( product1(X0,e_3,e_2)
        | product2(e_3,X0,e_3)
        | ~ group_element(X0)
        | product1(X0,e_3,e_1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f83,plain,
    ( product1(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | ~ group_element(e_2)
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f81,plain,
    ( product1(e_2,e_3,e_1)
    | equalish(e_3,e_2)
    | ~ group_element(e_2)
    | equalish(e_3,e_2)
    | ~ spl0_3 ),
    inference(resolution,[],[f76,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ product1(X1,X0,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f18,f20]) ).

fof(f20,axiom,
    ! [X0] : product1(X0,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).

fof(f18,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product1(X0,X4,X1)
      | equalish(X3,X4)
      | ~ product1(X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).

fof(f76,plain,
    ( ! [X0] :
        ( product1(X0,e_3,e_2)
        | product1(X0,e_3,e_1)
        | equalish(e_3,X0)
        | ~ group_element(X0) )
    | ~ spl0_3 ),
    inference(resolution,[],[f67,f25]) ).

fof(f67,plain,
    ( ! [X0,X1] :
        ( ~ product2(e_3,X1,e_3)
        | ~ group_element(X0)
        | product1(X0,e_3,e_1)
        | equalish(X1,X0)
        | product1(X0,e_3,e_2) )
    | ~ spl0_3 ),
    inference(resolution,[],[f60,f23]) ).

fof(f60,plain,
    ( ! [X0] :
        ( product2(e_3,X0,e_3)
        | product1(X0,e_3,e_2)
        | ~ group_element(X0)
        | product1(X0,e_3,e_1) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f61,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f46,f59,f51]) ).

fof(f46,plain,
    ! [X0] :
      ( product1(X0,e_3,e_2)
      | product1(X0,e_3,e_1)
      | ~ group_element(e_3)
      | ~ group_element(X0)
      | product2(e_3,X0,e_3) ),
    inference(resolution,[],[f16,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ product1(X1,X0,X0)
      | product2(X0,X1,X0) ),
    inference(resolution,[],[f20,f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GRP123-7.003 : TPTP v8.2.0. Released v1.2.0.
% 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
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 04:38:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.70/0.85  % (7926)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)
% 0.70/0.85  % (7927)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)
% 0.70/0.85  % (7928)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.85  % (7929)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)
% 0.70/0.85  % (7931)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)
% 0.70/0.85  % (7930)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)
% 0.70/0.85  % (7932)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)
% 0.70/0.85  % (7926)Refutation not found, incomplete strategy% (7926)------------------------------
% 0.70/0.85  % (7926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (7933)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)
% 0.70/0.85  % (7926)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (7929)Refutation not found, incomplete strategy% (7929)------------------------------
% 0.70/0.85  % (7929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (7929)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (7929)Memory used [KB]: 949
% 0.70/0.85  % (7929)Time elapsed: 0.002 s
% 0.70/0.85  % (7929)Instructions burned: 2 (million)
% 0.70/0.85  % (7926)Memory used [KB]: 950
% 0.70/0.85  % (7926)Time elapsed: 0.002 s
% 0.70/0.85  % (7926)Instructions burned: 2 (million)
% 0.70/0.85  % (7931)Refutation not found, incomplete strategy% (7931)------------------------------
% 0.70/0.85  % (7931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (7931)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (7931)Memory used [KB]: 949
% 0.70/0.85  % (7931)Time elapsed: 0.002 s
% 0.70/0.85  % (7931)Instructions burned: 2 (million)
% 0.70/0.85  % (7933)Refutation not found, incomplete strategy% (7933)------------------------------
% 0.70/0.85  % (7933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (7929)------------------------------
% 0.70/0.85  % (7929)------------------------------
% 0.70/0.85  % (7926)------------------------------
% 0.70/0.85  % (7926)------------------------------
% 0.70/0.85  % (7933)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (7933)Memory used [KB]: 949
% 0.70/0.85  % (7933)Time elapsed: 0.002 s
% 0.70/0.85  % (7933)Instructions burned: 2 (million)
% 0.70/0.85  % (7931)------------------------------
% 0.70/0.85  % (7931)------------------------------
% 0.70/0.85  % (7933)------------------------------
% 0.70/0.85  % (7933)------------------------------
% 0.70/0.85  % (7927)First to succeed.
% 0.70/0.85  % (7927)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7888"
% 0.70/0.85  % (7936)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.70/0.86  % (7927)Refutation found. Thanks to Tanya!
% 0.70/0.86  % SZS status Unsatisfiable for theBenchmark
% 0.70/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.86  % (7927)------------------------------
% 0.70/0.86  % (7927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (7927)Termination reason: Refutation
% 0.70/0.86  
% 0.70/0.86  % (7927)Memory used [KB]: 1085
% 0.70/0.86  % (7927)Time elapsed: 0.005 s
% 0.70/0.86  % (7927)Instructions burned: 7 (million)
% 0.70/0.86  % (7888)Success in time 0.51 s
% 0.70/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------