TSTP Solution File: SWV679-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n003.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 : Thu Aug 31 23:29:14 EDT 2023

% Result   : Unsatisfiable 27.72s 4.39s
% Output   : Refutation 27.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  127 (  49 unt;   0 def)
%            Number of atoms       :  229 (  84 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  207 ( 105   ~; 100   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :  166 (; 166   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f75843,plain,
    $false,
    inference(avatar_sat_refutation,[],[f75152,f75539,f75780]) ).

fof(f75780,plain,
    ~ spl0_59,
    inference(avatar_contradiction_clause,[],[f75779]) ).

fof(f75779,plain,
    ( $false
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f75737,f639]) ).

fof(f639,axiom,
    ~ c_lessequals(v_n,v_m,tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_CHAINED_0) ).

fof(f75737,plain,
    ( c_lessequals(v_n,v_m,tc_nat)
    | ~ spl0_59 ),
    inference(trivial_inequality_removal,[],[f75666]) ).

fof(f75666,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | c_lessequals(v_n,v_m,tc_nat)
    | ~ spl0_59 ),
    inference(superposition,[],[f582,f75151]) ).

fof(f75151,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f75150]) ).

fof(f75150,plain,
    ( spl0_59
  <=> c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f582,axiom,
    ! [X8,X7] :
      ( c_lessequals(X7,X8,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ominus__class_Ominus(X7,X8,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__is__0__eq_0) ).

fof(f75539,plain,
    ~ spl0_58,
    inference(avatar_contradiction_clause,[],[f75538]) ).

fof(f75538,plain,
    ( $false
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f75259,f3716]) ).

fof(f3716,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),
    inference(forward_literal_rewriting,[],[f3715,f582]) ).

fof(f3715,plain,
    ~ c_lessequals(v_m,v_n,tc_nat),
    inference(subsumption_resolution,[],[f3714,f690]) ).

fof(f690,plain,
    v_a != c_HOL_Ozero__class_Ozero(t_a),
    inference(resolution,[],[f641,f640]) ).

fof(f640,axiom,
    ( ~ class_Ring__and__Field_Ofield(t_a)
    | v_a != c_HOL_Ozero__class_Ozero(t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_CHAINED_0_01) ).

fof(f641,axiom,
    class_Ring__and__Field_Ofield(t_a),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',tfree_tcs) ).

fof(f3714,plain,
    ( ~ c_lessequals(v_m,v_n,tc_nat)
    | v_a = c_HOL_Ozero__class_Ozero(t_a) ),
    inference(subsumption_resolution,[],[f3713,f641]) ).

fof(f3713,plain,
    ( ~ class_Ring__and__Field_Ofield(t_a)
    | ~ c_lessequals(v_m,v_n,tc_nat)
    | v_a = c_HOL_Ozero__class_Ozero(t_a) ),
    inference(trivial_inequality_removal,[],[f3711]) ).

fof(f3711,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
    | ~ class_Ring__and__Field_Ofield(t_a)
    | ~ c_lessequals(v_m,v_n,tc_nat)
    | v_a = c_HOL_Ozero__class_Ozero(t_a) ),
    inference(superposition,[],[f729,f568]) ).

fof(f568,axiom,
    ! [X0,X1,X8,X7] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | ~ c_lessequals(X7,X8,tc_nat)
      | c_HOL_Ozero__class_Ozero(X0) = X1
      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X8,X7,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X7,X0),c_Power_Opower__class_Opower(X1,X8,X0),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_power__diff__inverse_0) ).

fof(f729,plain,
    c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
    inference(subsumption_resolution,[],[f728,f690]) ).

fof(f728,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
    | v_a = c_HOL_Ozero__class_Ozero(t_a) ),
    inference(subsumption_resolution,[],[f725,f641]) ).

fof(f725,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
    | ~ class_Ring__and__Field_Ofield(t_a)
    | v_a = c_HOL_Ozero__class_Ozero(t_a) ),
    inference(superposition,[],[f689,f346]) ).

fof(f346,axiom,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | c_HOL_Ozero__class_Ozero(X0) = X1
      | c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_nonzero__inverse__eq__divide_0) ).

fof(f689,plain,
    c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
    inference(subsumption_resolution,[],[f642,f639]) ).

fof(f642,axiom,
    ( c_lessequals(v_n,v_m,tc_nat)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_conjecture_0) ).

fof(f75259,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat)
    | ~ spl0_58 ),
    inference(superposition,[],[f11276,f75148]) ).

fof(f75148,plain,
    ( v_n = c_Suc(v_m)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f75147]) ).

fof(f75147,plain,
    ( spl0_58
  <=> v_n = c_Suc(v_m) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f11276,plain,
    ! [X19] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X19,c_Suc(X19),tc_nat),
    inference(resolution,[],[f11223,f486]) ).

fof(f486,axiom,
    ! [X8] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = X8
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X8,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_gr0I_0) ).

fof(f11223,plain,
    ! [X259,X258] : ~ c_HOL_Oord__class_Oless(X258,c_HOL_Ominus__class_Ominus(X259,c_Suc(X259),tc_nat),tc_nat),
    inference(forward_literal_rewriting,[],[f11222,f495]) ).

fof(f495,axiom,
    ! [X9,X12,X13] :
      ( ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ominus__class_Ominus(X13,X9,tc_nat),tc_nat)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X9,tc_nat),X13,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_less__diff__conv_0) ).

fof(f11222,plain,
    ! [X259,X258] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X258,c_Suc(X259),tc_nat),X259,tc_nat),
    inference(subsumption_resolution,[],[f11057,f684]) ).

fof(f684,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',clsarity_nat__Orderings_Opreorder) ).

fof(f11057,plain,
    ! [X259,X258] :
      ( ~ class_Orderings_Opreorder(tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X258,c_Suc(X259),tc_nat),X259,tc_nat) ),
    inference(resolution,[],[f10689,f533]) ).

fof(f533,axiom,
    ! [X0,X4,X5] :
      ( ~ class_Orderings_Opreorder(X0)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X0)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_order__less__asym_0) ).

fof(f10689,plain,
    ! [X12,X13] : c_HOL_Oord__class_Oless(X12,c_HOL_Oplus__class_Oplus(X13,c_Suc(X12),tc_nat),tc_nat),
    inference(superposition,[],[f8818,f156]) ).

fof(f156,axiom,
    ! [X8] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X8,tc_nat) = X8,
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_plus__nat_Oadd__0_0) ).

fof(f8818,plain,
    ! [X133,X134,X135] : c_HOL_Oord__class_Oless(X133,c_HOL_Oplus__class_Oplus(X134,c_HOL_Oplus__class_Oplus(X135,c_Suc(X133),tc_nat),tc_nat),tc_nat),
    inference(forward_demodulation,[],[f8817,f156]) ).

fof(f8817,plain,
    ! [X133,X134,X135] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X133,tc_nat),c_HOL_Oplus__class_Oplus(X134,c_HOL_Oplus__class_Oplus(X135,c_Suc(X133),tc_nat),tc_nat),tc_nat),
    inference(forward_demodulation,[],[f8816,f293]) ).

fof(f293,axiom,
    ! [X8,X7] : c_HOL_Oplus__class_Oplus(c_Suc(X7),X8,tc_nat) = c_HOL_Oplus__class_Oplus(X7,c_Suc(X8),tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_add__Suc__shift_0) ).

fof(f8816,plain,
    ! [X133,X134,X135] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X133,tc_nat),c_HOL_Oplus__class_Oplus(X134,c_HOL_Oplus__class_Oplus(c_Suc(X135),X133,tc_nat),tc_nat),tc_nat),
    inference(forward_demodulation,[],[f8655,f4]) ).

fof(f4,axiom,
    ! [X8,X9,X7] : c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X7,X8,tc_nat),X9,tc_nat) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Oplus__class_Oplus(X8,X9,tc_nat),tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_nat__add__assoc_0) ).

fof(f8655,plain,
    ! [X133,X134,X135] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X133,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X134,c_Suc(X135),tc_nat),X133,tc_nat),tc_nat),
    inference(resolution,[],[f8040,f506]) ).

fof(f506,axiom,
    ! [X9,X12,X13] :
      ( ~ c_HOL_Oord__class_Oless(X12,X13,tc_nat)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X9,tc_nat),c_HOL_Oplus__class_Oplus(X13,X9,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_add__less__mono1_0) ).

fof(f8040,plain,
    ! [X8,X9] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X8,c_Suc(X9),tc_nat),tc_nat),
    inference(subsumption_resolution,[],[f7926,f792]) ).

fof(f792,plain,
    c_HOL_Ozero__class_Ozero(t_a) != c_HOL_Oone__class_Oone(t_a),
    inference(resolution,[],[f712,f232]) ).

fof(f232,axiom,
    ! [X0] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
      | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_one__neq__zero_0) ).

fof(f712,plain,
    class_Ring__and__Field_Ozero__neq__one(t_a),
    inference(resolution,[],[f641,f653]) ).

fof(f653,axiom,
    ! [X28] :
      ( ~ class_Ring__and__Field_Ofield(X28)
      | class_Ring__and__Field_Ozero__neq__one(X28) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ozero__neq__one) ).

fof(f7926,plain,
    ! [X8,X9] :
      ( c_HOL_Ozero__class_Ozero(t_a) = c_HOL_Oone__class_Oone(t_a)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X8,c_Suc(X9),tc_nat),tc_nat) ),
    inference(superposition,[],[f3207,f1804]) ).

fof(f1804,plain,
    ! [X8,X9] :
      ( c_HOL_Oone__class_Oone(t_a) = c_Power_Opower__class_Opower(X9,X8,t_a)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X8,tc_nat) ),
    inference(forward_literal_rewriting,[],[f1703,f269]) ).

fof(f269,axiom,
    ! [X8,X7] :
      ( c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | c_HOL_Oord__class_Oless(X8,c_Suc(X7),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_not__less__eq_0) ).

fof(f1703,plain,
    ! [X8,X9] :
      ( c_HOL_Oone__class_Oone(t_a) = c_Power_Opower__class_Opower(X9,X8,t_a)
      | ~ c_HOL_Oord__class_Oless(X8,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    inference(superposition,[],[f762,f49]) ).

fof(f49,axiom,
    ! [X8] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = X8
      | ~ c_HOL_Oord__class_Oless(X8,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_less__Suc0_0) ).

fof(f762,plain,
    ! [X41] : c_HOL_Oone__class_Oone(t_a) = c_Power_Opower__class_Opower(X41,c_HOL_Ozero__class_Ozero(tc_nat),t_a),
    inference(resolution,[],[f708,f552]) ).

fof(f552,axiom,
    ! [X0,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_HOL_Oone__class_Oone(X0) = c_Power_Opower__class_Opower(X4,c_HOL_Ozero__class_Ozero(tc_nat),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_class__semiring_Opwr__0_0) ).

fof(f708,plain,
    class_Ring__and__Field_Ocomm__semiring__1(t_a),
    inference(resolution,[],[f641,f649]) ).

fof(f649,axiom,
    ! [X28] :
      ( ~ class_Ring__and__Field_Ofield(X28)
      | class_Ring__and__Field_Ocomm__semiring__1(X28) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).

fof(f3207,plain,
    ! [X4,X5] : c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(X4,c_Suc(X5),tc_nat),t_a),
    inference(forward_demodulation,[],[f3120,f293]) ).

fof(f3120,plain,
    ! [X4,X5] : c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Oplus__class_Oplus(c_Suc(X4),X5,tc_nat),t_a),
    inference(superposition,[],[f801,f324]) ).

fof(f324,axiom,
    ! [X8,X7] : c_HOL_Oplus__class_Oplus(c_Suc(X7),X8,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X7,X8,tc_nat)),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_add__Suc_0) ).

fof(f801,plain,
    ! [X1] : c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_Suc(X1),t_a),
    inference(subsumption_resolution,[],[f799,f722]) ).

fof(f722,plain,
    class_Power_Opower(t_a),
    inference(resolution,[],[f641,f664]) ).

fof(f664,axiom,
    ! [X28] :
      ( ~ class_Ring__and__Field_Ofield(X28)
      | class_Power_Opower(X28) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',clsrel_Ring__and__Field_Ofield_Power_Opower) ).

fof(f799,plain,
    ! [X1] :
      ( ~ class_Power_Opower(t_a)
      | c_HOL_Ozero__class_Ozero(t_a) = c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),c_Suc(X1),t_a) ),
    inference(resolution,[],[f715,f52]) ).

fof(f52,axiom,
    ! [X0,X8] :
      ( ~ class_Ring__and__Field_Osemiring__0(X0)
      | ~ class_Power_Opower(X0)
      | c_HOL_Ozero__class_Ozero(X0) = c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X8),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_power__0__Suc_0) ).

fof(f715,plain,
    class_Ring__and__Field_Osemiring__0(t_a),
    inference(resolution,[],[f641,f656]) ).

fof(f656,axiom,
    ! [X28] :
      ( ~ class_Ring__and__Field_Ofield(X28)
      | class_Ring__and__Field_Osemiring__0(X28) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Osemiring__0) ).

fof(f75152,plain,
    ( spl0_58
    | spl0_59 ),
    inference(avatar_split_clause,[],[f74349,f75150,f75147]) ).

fof(f74349,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat)
    | v_n = c_Suc(v_m) ),
    inference(forward_literal_rewriting,[],[f74333,f48577]) ).

fof(f48577,plain,
    ! [X16,X15] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X16,X15,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X15),X16,tc_nat) ),
    inference(subsumption_resolution,[],[f48576,f11266]) ).

fof(f11266,plain,
    ! [X0] : ~ c_HOL_Oord__class_Oless(c_Suc(X0),X0,tc_nat),
    inference(resolution,[],[f11223,f240]) ).

fof(f240,axiom,
    ! [X8,X7] :
      ( ~ c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X8,X7,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_zero__less__diff_1) ).

fof(f48576,plain,
    ! [X16,X15] :
      ( c_HOL_Oord__class_Oless(c_Suc(X15),X15,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X16,X15,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X15),X16,tc_nat) ),
    inference(forward_literal_rewriting,[],[f48575,f269]) ).

fof(f48575,plain,
    ! [X16,X15] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X16,X15,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X15),X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,c_Suc(c_Suc(X15)),tc_nat) ),
    inference(forward_literal_rewriting,[],[f48574,f24114]) ).

fof(f24114,plain,
    ! [X26,X27] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X27,X26,tc_nat)
      | c_HOL_Oord__class_Oless(X26,X27,tc_nat) ),
    inference(resolution,[],[f9737,f486]) ).

fof(f9737,plain,
    ! [X58,X59,X57] :
      ( ~ c_HOL_Oord__class_Oless(X57,c_HOL_Ominus__class_Ominus(X58,X59,tc_nat),tc_nat)
      | c_HOL_Oord__class_Oless(X59,X58,tc_nat) ),
    inference(resolution,[],[f8914,f241]) ).

fof(f241,axiom,
    ! [X8,X7] :
      ( c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X8,X7,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_zero__less__diff_0) ).

fof(f8914,plain,
    ! [X10,X11] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X10,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X11,X10,tc_nat) ),
    inference(forward_literal_rewriting,[],[f8767,f61]) ).

fof(f61,axiom,
    ! [X8,X7] :
      ( ~ c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | c_lessequals(c_Suc(X8),X7,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_less__eq__Suc__le_0) ).

fof(f8767,plain,
    ! [X10,X11] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X10,tc_nat)
      | ~ c_lessequals(c_Suc(X11),X10,tc_nat) ),
    inference(superposition,[],[f8040,f575]) ).

fof(f575,axiom,
    ! [X8,X7] :
      ( ~ c_lessequals(X8,X7,tc_nat)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X7,X8,tc_nat),X8,tc_nat) = X7 ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_le__add__diff__inverse2_0) ).

fof(f48574,plain,
    ! [X16,X15] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X15),X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,c_Suc(c_Suc(X15)),tc_nat) ),
    inference(forward_demodulation,[],[f48573,f413]) ).

fof(f413,axiom,
    ! [X8,X7] : c_HOL_Ominus__class_Ominus(X7,X8,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X7),c_Suc(X8),tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__Suc__Suc_0) ).

fof(f48573,plain,
    ! [X16,X15] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X15)),c_Suc(X16),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,c_Suc(c_Suc(X15)),tc_nat) ),
    inference(forward_demodulation,[],[f48572,f31581]) ).

fof(f31581,plain,
    ! [X1] : c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    inference(forward_demodulation,[],[f31580,f420]) ).

fof(f420,axiom,
    ! [X7] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X7,X7,tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__self__eq__0_0) ).

fof(f31580,plain,
    ! [X1] : c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)),tc_nat),
    inference(subsumption_resolution,[],[f31349,f610]) ).

fof(f610,axiom,
    ! [X4] : c_lessequals(X4,X4,tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_eq__imp__le_0) ).

fof(f31349,plain,
    ! [X1] :
      ( c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)),tc_nat)
      | ~ c_lessequals(X1,X1,tc_nat) ),
    inference(superposition,[],[f11570,f589]) ).

fof(f589,axiom,
    ! [X8,X7] :
      ( ~ c_lessequals(X8,X7,tc_nat)
      | c_HOL_Ominus__class_Ominus(c_Suc(X7),X8,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X7,X8,tc_nat)) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_Suc__diff__le_0) ).

fof(f11570,plain,
    ! [X35] : c_Suc(X35) = c_HOL_Oplus__class_Oplus(X35,c_HOL_Ominus__class_Ominus(c_Suc(X35),X35,tc_nat),tc_nat),
    inference(resolution,[],[f11266,f523]) ).

fof(f523,axiom,
    ! [X8,X7] :
      ( c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ominus__class_Ominus(X7,X8,tc_nat),tc_nat) = X7 ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_add__diff__inverse_0) ).

fof(f48572,plain,
    ! [X16,X15] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X15)),c_HOL_Oplus__class_Oplus(X16,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,c_Suc(c_Suc(X15)),tc_nat) ),
    inference(forward_demodulation,[],[f48571,f422]) ).

fof(f422,axiom,
    ! [X9,X12,X13] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X12,X13,tc_nat),X9,tc_nat) = c_HOL_Ominus__class_Ominus(X12,c_HOL_Oplus__class_Oplus(X13,X9,tc_nat),tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__diff__left_0) ).

fof(f48571,plain,
    ! [X16,X15] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X15)),X16,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,c_Suc(c_Suc(X15)),tc_nat) ),
    inference(forward_literal_rewriting,[],[f48570,f24114]) ).

fof(f48570,plain,
    ! [X16,X15] :
      ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X15)),X16,tc_nat),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,c_Suc(c_Suc(X15)),tc_nat) ),
    inference(forward_literal_rewriting,[],[f48458,f268]) ).

fof(f268,axiom,
    ! [X8,X7] :
      ( ~ c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X8,c_Suc(X7),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_not__less__eq_1) ).

fof(f48458,plain,
    ! [X16,X15] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X15)),X16,tc_nat),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X15,c_Suc(c_Suc(X15)),tc_nat) ),
    inference(superposition,[],[f414,f45928]) ).

fof(f45928,plain,
    ! [X148] : c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X148)),X148,tc_nat),
    inference(superposition,[],[f424,f32092]) ).

fof(f32092,plain,
    ! [X5] : c_Suc(c_Suc(X5)) = c_HOL_Oplus__class_Oplus(X5,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),
    inference(superposition,[],[f31581,f293]) ).

fof(f424,axiom,
    ! [X8,X7] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X8,X7,tc_nat),X8,tc_nat) = X7,
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__add__inverse_0) ).

fof(f414,axiom,
    ! [X18,X8,X7] :
      ( ~ c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X7,X18,tc_nat)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X18,X8,tc_nat),c_HOL_Ominus__class_Ominus(X18,X7,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__less__mono2_0) ).

fof(f74333,plain,
    ( v_n = c_Suc(v_m)
    | c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ominus__class_Ominus(c_Suc(v_m),v_n,tc_nat) ),
    inference(trivial_inequality_removal,[],[f74241]) ).

fof(f74241,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | v_n = c_Suc(v_m)
    | c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ominus__class_Ominus(c_Suc(v_m),v_n,tc_nat) ),
    inference(superposition,[],[f418,f74222]) ).

fof(f74222,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(v_n,c_Suc(v_m),tc_nat),
    inference(forward_literal_rewriting,[],[f73984,f24114]) ).

fof(f73984,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(v_m),v_n,tc_nat),
    inference(trivial_inequality_removal,[],[f73968]) ).

fof(f73968,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(v_m),v_n,tc_nat) ),
    inference(superposition,[],[f3716,f15949]) ).

fof(f15949,plain,
    ! [X73,X74] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X73,X74,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X73),X74,tc_nat) ),
    inference(forward_literal_rewriting,[],[f15948,f61]) ).

fof(f15948,plain,
    ! [X73,X74] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X73,X74,tc_nat)
      | ~ c_lessequals(c_Suc(c_Suc(X73)),X74,tc_nat) ),
    inference(forward_literal_rewriting,[],[f15947,f583]) ).

fof(f583,axiom,
    ! [X8,X7] :
      ( ~ c_lessequals(X7,X8,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X7,X8,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__is__0__eq_1) ).

fof(f15947,plain,
    ! [X73,X74] :
      ( c_lessequals(X73,X74,tc_nat)
      | ~ c_lessequals(c_Suc(c_Suc(X73)),X74,tc_nat) ),
    inference(forward_demodulation,[],[f15946,f156]) ).

fof(f15946,plain,
    ! [X73,X74] :
      ( c_lessequals(X73,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X74,tc_nat),tc_nat)
      | ~ c_lessequals(c_Suc(c_Suc(X73)),X74,tc_nat) ),
    inference(forward_literal_rewriting,[],[f15789,f578]) ).

fof(f578,axiom,
    ! [X9,X12,X13] :
      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,X9,tc_nat),X12,tc_nat)
      | c_lessequals(X13,c_HOL_Oplus__class_Oplus(X12,X9,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_le__diff__conv_0) ).

fof(f15789,plain,
    ! [X73,X74] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X73,X74,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
      | ~ c_lessequals(c_Suc(c_Suc(X73)),X74,tc_nat) ),
    inference(superposition,[],[f632,f12661]) ).

fof(f12661,plain,
    ! [X58] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X58,c_Suc(c_Suc(X58)),tc_nat),
    inference(forward_literal_rewriting,[],[f12660,f583]) ).

fof(f12660,plain,
    ! [X58] : c_lessequals(X58,c_Suc(c_Suc(X58)),tc_nat),
    inference(subsumption_resolution,[],[f12659,f604]) ).

fof(f604,axiom,
    ! [X8,X7] :
      ( c_lessequals(X7,X8,tc_nat)
      | c_lessequals(X8,X7,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_nat__le__linear_0) ).

fof(f12659,plain,
    ! [X58] :
      ( ~ c_lessequals(c_Suc(c_Suc(X58)),X58,tc_nat)
      | c_lessequals(X58,c_Suc(c_Suc(X58)),tc_nat) ),
    inference(subsumption_resolution,[],[f12570,f684]) ).

fof(f12570,plain,
    ! [X58] :
      ( ~ class_Orderings_Opreorder(tc_nat)
      | ~ c_lessequals(c_Suc(c_Suc(X58)),X58,tc_nat)
      | c_lessequals(X58,c_Suc(c_Suc(X58)),tc_nat) ),
    inference(resolution,[],[f11559,f187]) ).

fof(f187,axiom,
    ! [X0,X4,X5] :
      ( ~ class_Orderings_Opreorder(X0)
      | ~ c_lessequals(X4,X5,X0)
      | c_lessequals(X5,X4,X0)
      | c_HOL_Oord__class_Oless(X4,X5,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_less__le__not__le_2) ).

fof(f11559,plain,
    ! [X20] : ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(X20)),X20,tc_nat),
    inference(resolution,[],[f11266,f243]) ).

fof(f243,axiom,
    ! [X8,X7] :
      ( c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X7),X8,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_Suc__lessD_0) ).

fof(f632,axiom,
    ! [X18,X8,X7] :
      ( ~ c_lessequals(X7,X8,tc_nat)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X18,X8,tc_nat),c_HOL_Ominus__class_Ominus(X18,X7,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diff__le__mono2_0) ).

fof(f418,axiom,
    ! [X8,X7] :
      ( X7 = X8
      | c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ominus__class_Ominus(X7,X8,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ominus__class_Ominus(X8,X7,tc_nat) ),
    file('/export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912',cls_diffs0__imp__equal_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.17  % Problem    : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.19  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.40  % Computer : n003.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Tue Aug 29 09:07:10 EDT 2023
% 0.19/0.40  % CPUTime    : 
% 0.19/0.40  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.19/0.40  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.IJk4qA5Gof/Vampire---4.8_29912
% 0.19/0.41  % (30034)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.49  % (30044)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.26/0.49  % (30036)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.26/0.49  % (30039)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.26/0.49  % (30038)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.26/0.49  % (30040)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.26/0.49  % (30043)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.26/0.49  % (30037)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 27.46/4.38  % (30038)First to succeed.
% 27.72/4.39  % (30038)Refutation found. Thanks to Tanya!
% 27.72/4.39  % SZS status Unsatisfiable for Vampire---4
% 27.72/4.39  % SZS output start Proof for Vampire---4
% See solution above
% 27.72/4.39  % (30038)------------------------------
% 27.72/4.39  % (30038)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 27.72/4.39  % (30038)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 27.72/4.39  % (30038)Termination reason: Refutation
% 27.72/4.39  
% 27.72/4.39  % (30038)Memory used [KB]: 49892
% 27.72/4.39  % (30038)Time elapsed: 3.891 s
% 27.72/4.39  % (30038)------------------------------
% 27.72/4.39  % (30038)------------------------------
% 27.72/4.39  % (30034)Success in time 3.943 s
% 27.72/4.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------