%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n018.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 18:25:44 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   18 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(resolution,[],[f21,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] : c_in(X2,c_insert(X2,X3,X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f21,plain,
    ! [X0] : ~ c_in(X0,c_insert(v_a,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(resolution,[],[f16,f4]) ).

fof(f4,axiom,
    v_P(v_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f16,plain,
    ! [X2,X3] :
      ( ~ v_P(X2)
      | ~ c_in(X3,c_insert(X2,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(superposition,[],[f6,f12]) ).

fof(f12,plain,
    ! [X2] : v_x(c_insert(X2,c_emptyset,tc_IntDef_Oint)) = X2,
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).

fof(f10,plain,
    ! [X3,X4] :
      ( c_in(v_x(c_insert(X3,X4,tc_IntDef_Oint)),X4,tc_IntDef_Oint)
      | v_x(c_insert(X3,X4,tc_IntDef_Oint)) = X3 ),
    inference(resolution,[],[f3,f7]) ).

fof(f7,plain,
    ! [X0,X1] : c_in(v_x(c_insert(X0,X1,tc_IntDef_Oint)),c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(resolution,[],[f2,f5]) ).

fof(f5,axiom,
    ! [X6,X7] :
      ( ~ c_in(X6,X7,tc_IntDef_Oint)
      | c_in(v_x(X7),X7,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ c_in(X0,c_insert(X4,X5,X1),X1)
      | c_in(X0,X5,X1)
      | X0 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

fof(f6,axiom,
    ! [X8,X7] :
      ( ~ v_P(v_x(X7))
      | ~ c_in(X8,X7,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.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   : Tue Aug 30 14:33:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.45  % (24798)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.45  % (24798)First to succeed.
% 0.20/0.46  % (24798)Refutation found. Thanks to Tanya!
% 0.20/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46  % (24798)------------------------------
% 0.20/0.46  % (24798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46  % (24798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46  % (24798)Termination reason: Refutation
% 0.20/0.46  
% 0.20/0.46  % (24798)Memory used [KB]: 895
% 0.20/0.46  % (24798)Time elapsed: 0.054 s
% 0.20/0.46  % (24798)Instructions burned: 2 (million)
% 0.20/0.46  % (24798)------------------------------
% 0.20/0.46  % (24798)------------------------------
% 0.20/0.46  % (24782)Success in time 0.102 s
%------------------------------------------------------------------------------