%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ANA021-2 : 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 : n023.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 15:44:58 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(trivial_inequality_removal,[],[f10]) ).

fof(f10,plain,
    c_0 != c_0,
    inference(superposition,[],[f4,f8]) ).

fof(f8,plain,
    c_0 = v_x,
    inference(resolution,[],[f7,f5]) ).

fof(f5,axiom,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f7,plain,
    ! [X0] :
      ( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
      | c_0 = X0 ),
    inference(superposition,[],[f3,f6]) ).

fof(f6,plain,
    ! [X0] :
      ( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
      | c_0 = X0 ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X1] :
      ( c_less(c_0,X1,tc_nat)
      | c_0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ c_less(c_0,X0,tc_nat)
      | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).

fof(f3,axiom,
    ! [X2] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X2)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X2)),t_a),t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f4,axiom,
    c_0 != v_x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ANA021-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % 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 : n023.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   : Mon Aug 29 15:33:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (27654)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (27657)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.51  % (27662)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.51  % (27654)First to succeed.
% 0.19/0.52  % (27654)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (27654)------------------------------
% 0.19/0.52  % (27654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (27654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (27654)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (27654)Memory used [KB]: 895
% 0.19/0.52  % (27654)Time elapsed: 0.092 s
% 0.19/0.52  % (27654)Instructions burned: 1 (million)
% 0.19/0.52  % (27654)------------------------------
% 0.19/0.52  % (27654)------------------------------
% 0.19/0.52  % (27644)Success in time 0.168 s
%------------------------------------------------------------------------------