TSTP Solution File: SYN121-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN121-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n026.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 : Fri Sep  1 03:37:46 EDT 2023

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (   8 unt;   0 def)
%            Number of atoms       :   90 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  134 (  75   ~;  57   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   57 (;  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f682,plain,
    $false,
    inference(resolution,[],[f680,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',axiom_14) ).

fof(f680,plain,
    ! [X0] : ~ p0(X0,X0),
    inference(resolution,[],[f679,f36]) ).

fof(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',axiom_36) ).

fof(f679,plain,
    ! [X0,X1] :
      ( ~ q0(a,X0)
      | ~ p0(X1,X1) ),
    inference(resolution,[],[f677,f31]) ).

fof(f31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',axiom_31) ).

fof(f677,plain,
    ! [X2,X0,X1] :
      ( ~ m0(b,b,X2)
      | ~ q0(a,X1)
      | ~ p0(X0,X0) ),
    inference(resolution,[],[f676,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',axiom_20) ).

fof(f676,plain,
    ! [X2,X3,X0,X1] :
      ( ~ l0(X3)
      | ~ p0(X1,X1)
      | ~ q0(a,X2)
      | ~ m0(b,b,X0) ),
    inference(resolution,[],[f674,f394]) ).

fof(f394,plain,
    ! [X7] :
      ( ~ l0(X7)
      | sP12 ),
    inference(cnf_transformation,[],[f394_D]) ).

fof(f394_D,plain,
    ( ! [X7] : ~ l0(X7)
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f674,plain,
    ! [X38,X39,X37] :
      ( ~ sP12
      | ~ m0(b,b,X38)
      | ~ p0(X39,X39)
      | ~ q0(a,X37) ),
    inference(duplicate_literal_removal,[],[f664]) ).

fof(f664,plain,
    ! [X38,X39,X37] :
      ( ~ q0(a,X37)
      | ~ m0(b,b,X38)
      | ~ p0(X39,X39)
      | ~ m0(b,b,X38)
      | ~ sP12 ),
    inference(resolution,[],[f626,f395]) ).

fof(f395,plain,
    ! [X11,X6] :
      ( ~ m0(X6,X6,X11)
      | m1(X11,X6,X6)
      | ~ sP12 ),
    inference(general_splitting,[],[f53,f394_D]) ).

fof(f53,axiom,
    ! [X11,X6,X7] :
      ( ~ l0(X7)
      | ~ m0(X6,X6,X11)
      | m1(X11,X6,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',rule_015) ).

fof(f626,plain,
    ! [X3,X4,X5] :
      ( ~ m1(X4,b,b)
      | ~ q0(a,X3)
      | ~ m0(b,b,X4)
      | ~ p0(X5,X5) ),
    inference(resolution,[],[f623,f14]) ).

fof(f623,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p0(X1,b)
      | ~ q0(a,X2)
      | ~ m1(X0,X1,X1)
      | ~ m0(X1,b,X0)
      | ~ p0(X3,X3) ),
    inference(resolution,[],[f622,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( s1(X2)
      | ~ p0(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',rule_125) ).

fof(f622,plain,
    ! [X2,X3,X0,X1] :
      ( ~ s1(X3)
      | ~ m1(X1,X0,X0)
      | ~ q0(a,X2)
      | ~ p0(X0,b)
      | ~ m0(X0,b,X1) ),
    inference(resolution,[],[f619,f11]) ).

fof(f11,axiom,
    n0(e,b),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',axiom_11) ).

fof(f619,plain,
    ! [X2,X3,X0,X1] :
      ( ~ n0(e,b)
      | ~ m0(X0,b,X1)
      | ~ m1(X1,X0,X0)
      | ~ q0(a,X2)
      | ~ p0(X0,b)
      | ~ s1(X3) ),
    inference(resolution,[],[f605,f388]) ).

fof(f388,plain,
    ! [X5] :
      ( ~ s1(X5)
      | sP9 ),
    inference(cnf_transformation,[],[f388_D]) ).

fof(f388_D,plain,
    ( ! [X5] : ~ s1(X5)
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f605,plain,
    ! [X2,X3,X4] :
      ( ~ sP9
      | ~ p0(X2,b)
      | ~ m0(X2,b,X3)
      | ~ m1(X3,X2,X2)
      | ~ q0(a,X4)
      | ~ n0(e,b) ),
    inference(resolution,[],[f597,f389]) ).

fof(f389,plain,
    ! [X9,X4] :
      ( s1(X9)
      | ~ q0(X9,X4)
      | ~ sP9 ),
    inference(general_splitting,[],[f164,f388_D]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ s1(X5)
      | s1(X9)
      | ~ q0(X9,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',rule_126) ).

fof(f597,plain,
    ! [X0,X1] :
      ( ~ s1(a)
      | ~ n0(e,b)
      | ~ p0(X0,b)
      | ~ m0(X0,b,X1)
      | ~ m1(X1,X0,X0) ),
    inference(resolution,[],[f596,f172]) ).

fof(f172,axiom,
    ! [X2,X4,X5] :
      ( ~ p0(X5,X4)
      | l2(X4,X4)
      | ~ m0(X5,X4,X2)
      | ~ m1(X2,X5,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',rule_134) ).

fof(f596,plain,
    ( ~ l2(b,b)
    | ~ n0(e,b)
    | ~ s1(a) ),
    inference(resolution,[],[f369,f169]) ).

fof(f169,axiom,
    ! [X8,X7] :
      ( ~ s1(X7)
      | ~ n0(e,X8)
      | ~ l2(X8,X8)
      | l2(X7,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',rule_131) ).

fof(f369,axiom,
    ~ l2(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN121-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 21:29:49 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.GRUBmaTijU/Vampire---4.8_4420
% 0.14/0.36  % (4635)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (4642)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.20/0.42  % (4642)First to succeed.
% 0.20/0.42  % (4642)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Unsatisfiable for Vampire---4
% 0.20/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43  % (4642)------------------------------
% 0.20/0.43  % (4642)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43  % (4642)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43  % (4642)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (4642)Memory used [KB]: 1791
% 0.20/0.43  % (4642)Time elapsed: 0.007 s
% 0.20/0.43  % (4642)------------------------------
% 0.20/0.43  % (4642)------------------------------
% 0.20/0.43  % (4635)Success in time 0.065 s
% 0.20/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------