TSTP Solution File: GRP123-7.003 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n010.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 Aug 31 16:20:19 EDT 2022

% Result   : Unsatisfiable 1.22s 0.66s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   52 (  14 unt;   0 def)
%            Number of atoms       :  107 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  101 (  46   ~;  49   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   7 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f280,plain,
    $false,
    inference(avatar_sat_refutation,[],[f62,f75,f183,f249,f258,f271,f279]) ).

fof(f279,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f277,f11]) ).

fof(f11,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

fof(f277,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_5 ),
    inference(resolution,[],[f70,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ product1(X0,X1,X0)
      | equalish(X1,X0) ),
    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)
      | ~ product1(X0,X3,X1)
      | equalish(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).

fof(f70,plain,
    ( product1(e_3,e_1,e_3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl0_5
  <=> product1(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f271,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f269,f14]) ).

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

fof(f269,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_6 ),
    inference(resolution,[],[f74,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ product1(X0,X1,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f19,f20]) ).

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

fof(f74,plain,
    ( product1(e_3,e_1,e_1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_6
  <=> product1(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f258,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f255,f12]) ).

fof(f12,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f255,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_3 ),
    inference(resolution,[],[f61,f30]) ).

fof(f61,plain,
    ( product1(e_2,e_1,e_1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl0_3
  <=> product1(e_2,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f249,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f248]) ).

fof(f248,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f247,f10]) ).

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

fof(f247,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_1 ),
    inference(resolution,[],[f53,f29]) ).

fof(f53,plain,
    ( product1(e_2,e_1,e_2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_1
  <=> product1(e_2,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f183,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f182]) ).

fof(f182,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f181,f11]) ).

fof(f181,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f148,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ product2(X0,X0,X1)
      | equalish(X1,X0) ),
    inference(resolution,[],[f22,f25]) ).

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

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

fof(f148,plain,
    ( product2(e_3,e_3,e_1)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f76,f66]) ).

fof(f66,plain,
    ( product1(e_3,e_1,e_2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_4
  <=> product1(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f76,plain,
    ( ! [X0] :
        ( ~ product1(X0,e_1,e_2)
        | product2(e_3,X0,e_1) )
    | ~ spl0_2 ),
    inference(resolution,[],[f57,f26]) ).

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

fof(f57,plain,
    ( product1(e_2,e_1,e_3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl0_2
  <=> product1(e_2,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f75,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f49,f72,f68,f64]) ).

fof(f49,plain,
    ( product1(e_3,e_1,e_1)
    | product1(e_3,e_1,e_3)
    | product1(e_3,e_1,e_2) ),
    inference(resolution,[],[f40,f9]) ).

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

fof(f40,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product1(X0,e_1,e_1)
      | product1(X0,e_1,e_3)
      | product1(X0,e_1,e_2) ),
    inference(resolution,[],[f16,f7]) ).

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

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

fof(f62,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f48,f59,f55,f51]) ).

fof(f48,plain,
    ( product1(e_2,e_1,e_1)
    | product1(e_2,e_1,e_3)
    | product1(e_2,e_1,e_2) ),
    inference(resolution,[],[f40,f8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:05:44 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  ipcrm: permission denied for id (625344514)
% 0.12/0.37  ipcrm: permission denied for id (625475604)
% 0.12/0.38  ipcrm: permission denied for id (625541145)
% 0.18/0.41  ipcrm: permission denied for id (625770547)
% 0.18/0.42  ipcrm: permission denied for id (625803320)
% 0.18/0.42  ipcrm: permission denied for id (625836090)
% 0.18/0.43  ipcrm: permission denied for id (625868863)
% 0.18/0.43  ipcrm: permission denied for id (625901634)
% 0.18/0.46  ipcrm: permission denied for id (626098267)
% 0.18/0.48  ipcrm: permission denied for id (626294895)
% 0.18/0.50  ipcrm: permission denied for id (626425976)
% 0.18/0.50  ipcrm: permission denied for id (626458747)
% 0.99/0.64  % (22865)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 0.99/0.64  % (22857)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.99/0.64  % (22873)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.22/0.64  % (22873)First to succeed.
% 1.22/0.66  % (22854)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.22/0.66  % (22857)Also succeeded, but the first one will report.
% 1.22/0.66  % (22873)Refutation found. Thanks to Tanya!
% 1.22/0.66  % SZS status Unsatisfiable for theBenchmark
% 1.22/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 1.22/0.66  % (22873)------------------------------
% 1.22/0.66  % (22873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.66  % (22873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.66  % (22873)Termination reason: Refutation
% 1.22/0.66  
% 1.22/0.66  % (22873)Memory used [KB]: 5500
% 1.22/0.66  % (22873)Time elapsed: 0.106 s
% 1.22/0.66  % (22873)Instructions burned: 5 (million)
% 1.22/0.66  % (22873)------------------------------
% 1.22/0.66  % (22873)------------------------------
% 1.22/0.66  % (22657)Success in time 0.321 s
%------------------------------------------------------------------------------