TSTP Solution File: SET857-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET857-2 : 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 : n017.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 18:25:55 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  123 (  24 unt;   0 def)
%            Number of atoms       :  403 (  28 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  462 ( 182   ~; 273   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   8 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-3 aty)
%            Number of variables   :  151 ( 151   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f521,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f325,f375,f380,f420,f446,f492,f514]) ).

fof(f514,plain,
    ( spl5_6
    | ~ spl5_27 ),
    inference(avatar_split_clause,[],[f513,f443,f221]) ).

fof(f221,plain,
    ( spl5_6
  <=> ! [X0] :
        ( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
        | ~ c_in(X0,sF2,sF1)
        | c_lessequals(X0,v_x,sF1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f443,plain,
    ( spl5_27
  <=> v_x = c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).

fof(f513,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_x,sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
        | ~ c_in(X0,sF2,sF1) )
    | ~ spl5_27 ),
    inference(subsumption_resolution,[],[f512,f78]) ).

fof(f78,plain,
    c_in(v_x,sF2,sF1),
    inference(resolution,[],[f75,f21]) ).

fof(f21,plain,
    c_in(v_x,v_Y,sF1),
    inference(definition_folding,[],[f11,f16,f15]) ).

fof(f15,plain,
    tc_set(t_a) = sF0,
    introduced(function_definition,[]) ).

fof(f16,plain,
    tc_set(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f11,axiom,
    c_in(v_x,v_Y,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f75,plain,
    ! [X0] :
      ( ~ c_in(X0,v_Y,sF1)
      | c_in(X0,sF2,sF1) ),
    inference(resolution,[],[f33,f20]) ).

fof(f20,plain,
    c_lessequals(v_Y,sF2,sF3),
    inference(definition_folding,[],[f9,f19,f16,f15,f17]) ).

fof(f17,plain,
    c_Zorn_OTFin(v_S,t_a) = sF2,
    introduced(function_definition,[]) ).

fof(f19,plain,
    sF3 = tc_set(sF1),
    introduced(function_definition,[]) ).

fof(f9,axiom,
    c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,sF3)
      | c_in(X2,X1,sF1)
      | ~ c_in(X2,X0,sF1) ),
    inference(superposition,[],[f1,f19]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X3,tc_set(X2))
      | c_in(X0,X3,X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f512,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_x,sF1)
        | ~ c_in(X0,sF2,sF1)
        | ~ c_in(v_x,sF2,sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1) )
    | ~ spl5_27 ),
    inference(trivial_inequality_removal,[],[f509]) ).

fof(f509,plain,
    ( ! [X0] :
        ( v_x != v_x
        | ~ c_in(v_x,sF2,sF1)
        | c_lessequals(X0,v_x,sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
        | ~ c_in(X0,sF2,sF1) )
    | ~ spl5_27 ),
    inference(superposition,[],[f93,f445]) ).

fof(f445,plain,
    ( v_x = c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)
    | ~ spl5_27 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | ~ c_in(X0,sF2,sF1)
      | ~ c_in(X1,sF2,sF1)
      | c_lessequals(X0,X1,sF1) ),
    inference(forward_demodulation,[],[f92,f16]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
      | ~ c_in(X0,sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | ~ c_in(X1,sF2,sF1)
      | c_lessequals(X0,X1,sF1) ),
    inference(forward_demodulation,[],[f91,f16]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,tc_set(sF0))
      | c_lessequals(X0,X1,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | ~ c_in(X0,sF2,tc_set(sF0))
      | c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1 ),
    inference(forward_demodulation,[],[f90,f16]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X1,sF2,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f89,f15]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
      | c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(sF0))
      | ~ c_in(X1,sF2,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f88,f15]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
      | ~ c_in(X1,sF2,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f87,f15]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1) ),
    inference(forward_demodulation,[],[f86,f16]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
      | ~ c_in(X1,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(tc_set(t_a))) ),
    inference(forward_demodulation,[],[f82,f15]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(tc_set(t_a)))
      | ~ c_in(X1,sF2,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1 ),
    inference(superposition,[],[f7,f17]) ).

fof(f7,axiom,
    ! [X2,X6,X7,X5] :
      ( ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | c_lessequals(X7,X6,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
      | c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2) != X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).

fof(f492,plain,
    ( spl5_6
    | ~ spl5_26 ),
    inference(avatar_split_clause,[],[f491,f439,f221]) ).

fof(f439,plain,
    ( spl5_26
  <=> c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).

fof(f491,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_x,sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
        | ~ c_in(X0,sF2,sF1) )
    | ~ spl5_26 ),
    inference(subsumption_resolution,[],[f490,f78]) ).

fof(f490,plain,
    ( ! [X0] :
        ( ~ c_in(X0,sF2,sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
        | ~ c_in(v_x,sF2,sF1)
        | c_lessequals(X0,v_x,sF1) )
    | ~ spl5_26 ),
    inference(forward_demodulation,[],[f489,f17]) ).

fof(f489,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_x,sF1)
        | ~ c_in(X0,sF2,sF1)
        | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1) )
    | ~ spl5_26 ),
    inference(forward_demodulation,[],[f488,f17]) ).

fof(f488,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF1)
        | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
        | c_lessequals(X0,v_x,sF1) )
    | ~ spl5_26 ),
    inference(resolution,[],[f188,f441]) ).

fof(f441,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,sF1)
    | ~ spl5_26 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF1)
      | ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF1)
      | c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF1)
      | c_lessequals(X2,X1,sF1)
      | ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF1) ),
    inference(forward_demodulation,[],[f187,f16]) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF1)
      | ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF1)
      | c_lessequals(X2,X1,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF1)
      | ~ c_in(X1,c_Zorn_OTFin(X0,t_a),sF1) ),
    inference(forward_demodulation,[],[f186,f16]) ).

fof(f186,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF1)
      | ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF1)
      | ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF0))
      | ~ c_in(X2,c_Zorn_OTFin(X0,t_a),sF1)
      | c_lessequals(X2,X1,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f185,f16]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,sF1)
      | ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF0))
      | ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF1)
      | c_lessequals(X2,X1,tc_set(sF0))
      | ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF0)) ),
    inference(forward_demodulation,[],[f184,f16]) ).

fof(f184,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF0))
      | c_lessequals(X2,X1,tc_set(sF0))
      | ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF0))
      | ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF0))
      | ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,sF1) ),
    inference(forward_demodulation,[],[f181,f16]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,t_a),t_a),X1,tc_set(sF0))
      | ~ c_in(X1,c_Zorn_OTFin(X0,t_a),tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(X0,X1,t_a),X2,tc_set(sF0))
      | ~ c_in(X2,c_Zorn_OTFin(X0,t_a),tc_set(sF0))
      | c_lessequals(X2,X1,tc_set(sF0)) ),
    inference(superposition,[],[f8,f15]) ).

fof(f8,axiom,
    ! [X2,X6,X7,X5] :
      ( ~ c_lessequals(c_Zorn_Osucc(X5,c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X2),X6,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
      | ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | c_lessequals(X7,X6,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).

fof(f446,plain,
    ( spl5_26
    | spl5_27
    | ~ spl5_7
    | ~ spl5_25 ),
    inference(avatar_split_clause,[],[f437,f377,f224,f443,f439]) ).

fof(f224,plain,
    ( spl5_7
  <=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f377,plain,
    ( spl5_25
  <=> c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),sF2,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).

fof(f437,plain,
    ( v_x = c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)
    | c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,sF1)
    | ~ spl5_7
    | ~ spl5_25 ),
    inference(subsumption_resolution,[],[f436,f379]) ).

fof(f379,plain,
    ( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),sF2,sF1)
    | ~ spl5_25 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f436,plain,
    ( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),sF2,sF1)
    | v_x = c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)
    | c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,sF1)
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f435,f21]) ).

fof(f435,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,sF1)
    | ~ c_in(v_x,v_Y,sF1)
    | v_x = c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)
    | ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),sF2,sF1)
    | ~ spl5_7 ),
    inference(resolution,[],[f226,f18]) ).

fof(f18,plain,
    ! [X8,X9] :
      ( ~ c_lessequals(X8,X9,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X8,t_a),X9,sF1)
      | ~ c_in(X8,sF2,sF1)
      | ~ c_in(X9,v_Y,sF1)
      | X8 = X9 ),
    inference(definition_folding,[],[f14,f16,f15,f17,f16,f15,f16,f15,f16,f15]) ).

fof(f14,axiom,
    ! [X8,X9] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X8,t_a),X9,tc_set(tc_set(t_a)))
      | ~ c_lessequals(X8,X9,tc_set(tc_set(t_a)))
      | ~ c_in(X9,v_Y,tc_set(tc_set(t_a)))
      | X8 = X9
      | ~ c_in(X8,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f226,plain,
    ( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,sF1)
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f420,plain,
    ~ spl5_18,
    inference(avatar_contradiction_clause,[],[f419]) ).

fof(f419,plain,
    ( $false
    | ~ spl5_18 ),
    inference(subsumption_resolution,[],[f388,f62]) ).

fof(f62,plain,
    ! [X1] : c_lessequals(X1,X1,sF1),
    inference(superposition,[],[f59,f16]) ).

fof(f59,plain,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X0,tc_set(X1))
      | c_lessequals(X0,X0,tc_set(X1)) ),
    inference(resolution,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2)
      | c_lessequals(X1,X3,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f3,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X1,X3,X2),X3,X2)
      | c_lessequals(X1,X3,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f388,plain,
    ( ~ c_lessequals(v_n,v_n,sF1)
    | ~ spl5_18 ),
    inference(backward_demodulation,[],[f23,f386]) ).

fof(f386,plain,
    ( v_n = v_x
    | ~ spl5_18 ),
    inference(subsumption_resolution,[],[f385,f25]) ).

fof(f25,plain,
    ~ c_lessequals(sF4,v_x,sF1),
    inference(definition_folding,[],[f13,f16,f15,f24]) ).

fof(f24,plain,
    c_Zorn_Osucc(v_S,v_n,t_a) = sF4,
    introduced(function_definition,[]) ).

fof(f13,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f385,plain,
    ( v_n = v_x
    | c_lessequals(sF4,v_x,sF1)
    | ~ spl5_18 ),
    inference(forward_demodulation,[],[f384,f24]) ).

fof(f384,plain,
    ( v_n = v_x
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,sF1)
    | ~ spl5_18 ),
    inference(subsumption_resolution,[],[f383,f21]) ).

fof(f383,plain,
    ( v_n = v_x
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,sF1)
    | ~ c_in(v_x,v_Y,sF1)
    | ~ spl5_18 ),
    inference(subsumption_resolution,[],[f382,f22]) ).

fof(f22,plain,
    c_in(v_n,sF2,sF1),
    inference(definition_folding,[],[f10,f16,f15,f17]) ).

fof(f10,axiom,
    c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f382,plain,
    ( v_n = v_x
    | ~ c_in(v_n,sF2,sF1)
    | ~ c_in(v_x,v_Y,sF1)
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,sF1)
    | ~ spl5_18 ),
    inference(resolution,[],[f324,f18]) ).

fof(f324,plain,
    ( c_lessequals(v_n,v_x,sF1)
    | ~ spl5_18 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f322,plain,
    ( spl5_18
  <=> c_lessequals(v_n,v_x,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

fof(f23,plain,
    ~ c_lessequals(v_x,v_n,sF1),
    inference(definition_folding,[],[f12,f16,f15]) ).

fof(f12,axiom,
    ~ c_lessequals(v_x,v_n,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f380,plain,
    ( spl5_6
    | spl5_25 ),
    inference(avatar_split_clause,[],[f265,f377,f221]) ).

fof(f265,plain,
    ! [X0] :
      ( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),sF2,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
      | c_lessequals(X0,v_x,sF1)
      | ~ c_in(X0,sF2,sF1) ),
    inference(resolution,[],[f176,f78]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,sF1)
      | ~ c_in(X0,sF2,sF1)
      | c_lessequals(X0,X1,sF1)
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1) ),
    inference(forward_demodulation,[],[f175,f16]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | ~ c_in(X1,sF2,sF1)
      | ~ c_in(X0,sF2,tc_set(sF0))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,sF1) ),
    inference(forward_demodulation,[],[f174,f16]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,tc_set(sF0))
      | c_lessequals(X0,X1,sF1)
      | ~ c_in(X0,sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,sF1) ),
    inference(forward_demodulation,[],[f173,f16]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_lessequals(X0,X1,sF1)
      | ~ c_in(X0,sF2,tc_set(sF0))
      | ~ c_in(X1,sF2,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f172,f16]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X1,sF2,tc_set(sF0))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1) ),
    inference(forward_demodulation,[],[f171,f15]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X1,sF2,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f170,f15]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X1,sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1) ),
    inference(forward_demodulation,[],[f169,f15]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f168,f16]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(sF0))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X1,sF2,tc_set(tc_set(t_a))) ),
    inference(forward_demodulation,[],[f167,f15]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(tc_set(t_a)))
      | ~ c_in(X1,sF2,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f153,f15]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),sF2,tc_set(tc_set(t_a)))
      | ~ c_in(X1,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a))) ),
    inference(superposition,[],[f5,f17]) ).

fof(f5,axiom,
    ! [X2,X6,X7,X5] :
      ( ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
      | c_lessequals(X7,X6,tc_set(tc_set(X2)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).

fof(f375,plain,
    ~ spl5_17,
    inference(avatar_contradiction_clause,[],[f374]) ).

fof(f374,plain,
    ( $false
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f373,f23]) ).

fof(f373,plain,
    ( c_lessequals(v_x,v_n,sF1)
    | ~ spl5_17 ),
    inference(forward_demodulation,[],[f372,f16]) ).

fof(f372,plain,
    ( c_lessequals(v_x,v_n,tc_set(sF0))
    | ~ spl5_17 ),
    inference(subsumption_resolution,[],[f368,f23]) ).

fof(f368,plain,
    ( c_lessequals(v_x,v_n,sF1)
    | c_lessequals(v_x,v_n,tc_set(sF0))
    | ~ spl5_17 ),
    inference(resolution,[],[f365,f3]) ).

fof(f365,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_x,X0,sF0),v_n,sF0)
        | c_lessequals(v_x,X0,sF1) )
    | ~ spl5_17 ),
    inference(resolution,[],[f340,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(X0,X1,sF0),c_Zorn_Osucc(X2,X0,t_a),sF0)
      | c_lessequals(X0,X1,sF1) ),
    inference(forward_demodulation,[],[f71,f16]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_set(sF0))
      | c_in(c_Main_OsubsetI__1(X0,X1,sF0),c_Zorn_Osucc(X2,X0,t_a),sF0) ),
    inference(resolution,[],[f66,f2]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,X1,sF0)
      | c_in(X0,c_Zorn_Osucc(X2,X1,t_a),sF0) ),
    inference(resolution,[],[f32,f28]) ).

fof(f28,plain,
    ! [X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,t_a),sF1),
    inference(forward_demodulation,[],[f26,f16]) ).

fof(f26,plain,
    ! [X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,t_a),tc_set(sF0)),
    inference(superposition,[],[f4,f15]) ).

fof(f4,axiom,
    ! [X2,X4,X5] : c_lessequals(X4,c_Zorn_Osucc(X5,X4,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

fof(f32,plain,
    ! [X3,X4,X5] :
      ( ~ c_lessequals(X3,X4,sF1)
      | ~ c_in(X5,X3,sF0)
      | c_in(X5,X4,sF0) ),
    inference(superposition,[],[f1,f16]) ).

fof(f340,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_Zorn_Osucc(v_S,v_x,t_a),sF0)
        | c_in(X0,v_n,sF0) )
    | ~ spl5_17 ),
    inference(resolution,[],[f320,f32]) ).

fof(f320,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,sF1)
    | ~ spl5_17 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl5_17
  <=> c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).

fof(f325,plain,
    ( spl5_17
    | spl5_18
    | ~ spl5_6 ),
    inference(avatar_split_clause,[],[f304,f221,f322,f318]) ).

fof(f304,plain,
    ( c_lessequals(v_n,v_x,sF1)
    | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,sF1)
    | ~ spl5_6 ),
    inference(resolution,[],[f222,f22]) ).

fof(f222,plain,
    ( ! [X0] :
        ( ~ c_in(X0,sF2,sF1)
        | c_lessequals(X0,v_x,sF1)
        | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1) )
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f227,plain,
    ( spl5_6
    | spl5_7 ),
    inference(avatar_split_clause,[],[f206,f224,f221]) ).

fof(f206,plain,
    ! [X0] :
      ( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,sF1)
      | c_lessequals(X0,v_x,sF1)
      | ~ c_in(X0,sF2,sF1) ),
    inference(resolution,[],[f139,f78]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,sF1)
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF1)
      | c_lessequals(X0,X1,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | ~ c_in(X0,sF2,sF1) ),
    inference(forward_demodulation,[],[f138,f16]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF1)
      | ~ c_in(X1,sF2,sF1)
      | ~ c_in(X0,sF2,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f137,f15]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_lessequals(X0,X1,sF1)
      | ~ c_in(X1,sF2,sF1)
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF1) ),
    inference(forward_demodulation,[],[f136,f16]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,sF1)
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF1)
      | c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a))) ),
    inference(forward_demodulation,[],[f135,f16]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,sF1)
      | c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X1,sF2,sF1) ),
    inference(forward_demodulation,[],[f134,f16]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,tc_set(sF0))
      | ~ c_in(X1,sF2,sF1)
      | c_lessequals(X0,X1,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a))) ),
    inference(forward_demodulation,[],[f133,f15]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(sF0))
      | ~ c_in(X1,sF2,sF1)
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a))) ),
    inference(forward_demodulation,[],[f132,f16]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(sF0))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(sF0))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a))) ),
    inference(forward_demodulation,[],[f131,f15]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | ~ c_in(X1,sF2,tc_set(sF0))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(sF0)) ),
    inference(forward_demodulation,[],[f130,f15]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,tc_set(tc_set(t_a)))
      | ~ c_in(X1,sF2,tc_set(sF0))
      | c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a))) ),
    inference(forward_demodulation,[],[f116,f15]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X0,tc_set(tc_set(t_a)))
      | c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),X1,tc_set(tc_set(t_a))) ),
    inference(superposition,[],[f6,f17]) ).

fof(f6,axiom,
    ! [X2,X6,X7,X5] :
      ( ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X6,tc_set(tc_set(X2)))
      | c_lessequals(X7,X6,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:50:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (3755)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.49  % (3752)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (3765)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (3763)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (3754)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (3777)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (3764)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (3753)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (3751)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (3771)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51  % (3774)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (3766)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 (2999ds/75Mi)
% 0.19/0.51  % (3773)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (3750)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (3778)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52  % (3762)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (3756)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (3761)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (3767)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (3757)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (3775)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (3779)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (3759)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 (2999ds/51Mi)
% 0.19/0.52  % (3776)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (3769)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (3751)Refutation not found, incomplete strategy% (3751)------------------------------
% 0.19/0.53  % (3751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3751)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (3751)Memory used [KB]: 5373
% 0.19/0.53  % (3751)Time elapsed: 0.138 s
% 0.19/0.53  % (3751)Instructions burned: 3 (million)
% 0.19/0.53  % (3751)------------------------------
% 0.19/0.53  % (3751)------------------------------
% 0.19/0.53  % (3772)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (3758)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (3758)Instruction limit reached!
% 0.19/0.53  % (3758)------------------------------
% 0.19/0.53  % (3758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3758)Termination reason: Unknown
% 0.19/0.53  % (3758)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (3758)Memory used [KB]: 5373
% 0.19/0.53  % (3758)Time elapsed: 0.145 s
% 0.19/0.53  % (3758)Instructions burned: 3 (million)
% 0.19/0.53  % (3758)------------------------------
% 0.19/0.53  % (3758)------------------------------
% 0.19/0.53  % (3770)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (3780)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 (2999ds/355Mi)
% 0.19/0.53  % (3768)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.55  % (3757)Instruction limit reached!
% 0.19/0.55  % (3757)------------------------------
% 0.19/0.55  % (3757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (3757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (3757)Termination reason: Unknown
% 0.19/0.55  % (3757)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (3757)Memory used [KB]: 5500
% 0.19/0.55  % (3757)Time elapsed: 0.124 s
% 0.19/0.55  % (3757)Instructions burned: 8 (million)
% 0.19/0.55  % (3757)------------------------------
% 0.19/0.55  % (3757)------------------------------
% 0.19/0.56  % (3752)Instruction limit reached!
% 0.19/0.56  % (3752)------------------------------
% 0.19/0.56  % (3752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (3779)First to succeed.
% 0.19/0.56  TRYING [3]
% 0.19/0.57  % (3779)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (3779)------------------------------
% 0.19/0.57  % (3779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (3779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (3779)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (3779)Memory used [KB]: 5756
% 0.19/0.57  % (3779)Time elapsed: 0.155 s
% 0.19/0.57  % (3779)Instructions burned: 22 (million)
% 0.19/0.57  % (3779)------------------------------
% 0.19/0.57  % (3779)------------------------------
% 0.19/0.57  % (3746)Success in time 0.223 s
%------------------------------------------------------------------------------