TSTP Solution File: SCT068-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SCT068-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.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 18:16:31 EDT 2022

% Result   : Unsatisfiable 2.08s 0.67s
% Output   : Refutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   68 (   8 unt;   0 def)
%            Number of atoms       :  300 (  69 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  357 ( 125   ~; 230   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-5 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f795,plain,
    $false,
    inference(avatar_sat_refutation,[],[f714,f715,f751,f794]) ).

fof(f794,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f793]) ).

fof(f793,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f792,f712]) ).

fof(f712,plain,
    ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f711,plain,
    ( spl0_2
  <=> c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f792,plain,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f791,f699]) ).

fof(f699,plain,
    v_a____ != v_a_H____,
    inference(definition_unfolding,[],[f646,f668]) ).

fof(f668,axiom,
    v_b____ = v_a_H____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_07) ).

fof(f646,axiom,
    v_a____ != v_b____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I1_J_0) ).

fof(f791,plain,
    ( v_a____ = v_a_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f790,f709]) ).

fof(f709,plain,
    ( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f707,plain,
    ( spl0_1
  <=> c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f790,plain,
    ( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_a_H____
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f789,f660]) ).

fof(f660,axiom,
    c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f789,plain,
    ( ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_a_H____
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f788,f669]) ).

fof(f669,axiom,
    v_a____ != v_b_H____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_08) ).

fof(f788,plain,
    ( v_a____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_a____ = v_a_H____
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f787,f661]) ).

fof(f661,axiom,
    c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

fof(f787,plain,
    ( ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_a____ = v_a_H____
    | v_a____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f786,f647]) ).

fof(f647,axiom,
    v_a_H____ != v_b_H____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I2_J_0) ).

fof(f786,plain,
    ( v_a_H____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_a_H____
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f784,f781]) ).

fof(f781,plain,
    ( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f780,f712]) ).

fof(f780,plain,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f779,f647]) ).

fof(f779,plain,
    ( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a_H____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f778,f669]) ).

fof(f778,plain,
    ( v_a____ = v_b_H____
    | v_a_H____ = v_b_H____
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f775,f660]) ).

fof(f775,plain,
    ( ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a_H____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | ~ spl0_1 ),
    inference(duplicate_literal_removal,[],[f767]) ).

fof(f767,plain,
    ( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a_H____ = v_b_H____
    | ~ spl0_1 ),
    inference(resolution,[],[f757,f704]) ).

fof(f704,plain,
    ! [X52] :
      ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(definition_unfolding,[],[f651,f668]) ).

fof(f651,axiom,
    ! [X52] :
      ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I5_J_1) ).

fof(f757,plain,
    ( ! [X0,X1] :
        ( c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_a____ = X0
        | v_a_H____ = X0
        | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f756,f661]) ).

fof(f756,plain,
    ( ! [X0,X1] :
        ( c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_a____ = X0
        | v_a_H____ = X0 )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f752,f699]) ).

fof(f752,plain,
    ( ! [X0,X1] :
        ( v_a____ = X0
        | v_a_H____ = X0
        | v_a____ = v_a_H____
        | ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f709,f667]) ).

fof(f667,axiom,
    ! [X18,X9,X17,X53,X20] :
      ( ~ c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X9),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X9,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X17 = X18
      | c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X53,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X9,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X18 = X20
      | ~ c_in(X53,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X17 = X20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).

fof(f784,plain,
    ( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | v_a____ = v_a_H____
    | ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_a_H____ = v_b_H____
    | ~ spl0_1
    | spl0_2 ),
    inference(resolution,[],[f782,f665]) ).

fof(f665,axiom,
    ! [X18,X9,X17,X53,X20] :
      ( ~ c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X53,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X9),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X9,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X17 = X18
      | c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X17 = X20
      | ~ c_in(X9,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X18 = X20
      | ~ c_in(X53,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).

fof(f782,plain,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_1
    | spl0_2 ),
    inference(resolution,[],[f781,f695]) ).

fof(f695,plain,
    ! [X52] :
      ( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(definition_unfolding,[],[f650,f668]) ).

fof(f650,axiom,
    ! [X52] :
      ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X52),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I5_J_0) ).

fof(f751,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f750]) ).

fof(f750,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f740,f749]) ).

fof(f749,plain,
    ( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f748,f713]) ).

fof(f713,plain,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f748,plain,
    ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f747,f647]) ).

fof(f747,plain,
    ( v_a_H____ = v_b_H____
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f746,f669]) ).

fof(f746,plain,
    ( v_a____ = v_b_H____
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a_H____ = v_b_H____
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f745,f660]) ).

fof(f745,plain,
    ( ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a_H____ = v_b_H____
    | v_a____ = v_b_H____
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f744,f708]) ).

fof(f708,plain,
    ( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f744,plain,
    ( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a_H____ = v_b_H____
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f743,f699]) ).

fof(f743,plain,
    ( v_a____ = v_a_H____
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | v_a_H____ = v_b_H____
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f742,f661]) ).

fof(f742,plain,
    ( ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a_H____ = v_b_H____
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_a____ = v_b_H____
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_a_H____
    | spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f739,f664]) ).

fof(f664,axiom,
    ! [X18,X9,X17,X53,X20] :
      ( ~ c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X53,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X53,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X9,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X9),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X17 = X20
      | ~ c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X9,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X18 = X20
      | X17 = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_3) ).

fof(f739,plain,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f738,f708]) ).

fof(f738,plain,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f737,f661]) ).

fof(f737,plain,
    ( ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f736,f669]) ).

fof(f736,plain,
    ( v_a____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f735,f699]) ).

fof(f735,plain,
    ( v_a____ = v_a_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f727]) ).

fof(f727,plain,
    ( v_a____ = v_a_H____
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | ~ spl0_2 ),
    inference(resolution,[],[f720,f695]) ).

fof(f720,plain,
    ( ! [X0,X1] :
        ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(X0,v_P_H____,X1,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(X1,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(X0,v_P_H____,X1,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(X1,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | v_a_H____ = X1
        | v_b_H____ = X1 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f719,f660]) ).

fof(f719,plain,
    ( ! [X0,X1] :
        ( c_in(c_Pair(X1,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(X0,v_P_H____,X1,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_b_H____ = X1
        | v_a_H____ = X1
        | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(X0,v_P_H____,X1,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(X1,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f718,f647]) ).

fof(f718,plain,
    ( ! [X0,X1] :
        ( c_in(c_Pair(X1,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(X0,v_P_H____,X1,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_a_H____ = v_b_H____
        | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(X0,v_P_H____,X1,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_a_H____ = X1
        | c_in(c_Pair(X1,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_b_H____ = X1 )
    | ~ spl0_2 ),
    inference(resolution,[],[f666,f713]) ).

fof(f666,axiom,
    ! [X18,X9,X17,X53,X20] :
      ( ~ c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X53),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X9,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | c_in(c_Pair(X18,X20,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X53,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X53,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X18 = X20
      | c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X9,v_sko__CHAINED__1(X9,X53,X17,X18,X20)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X17 = X20
      | c_in(c_Pair(X17,X18,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X9),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | X17 = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_05) ).

fof(f740,plain,
    ( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f739,f704]) ).

fof(f715,plain,
    ( ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f694,f707,f711]) ).

fof(f694,plain,
    ( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(definition_unfolding,[],[f670,f668]) ).

fof(f670,axiom,
    ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f714,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f705,f711,f707]) ).

fof(f705,plain,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(definition_unfolding,[],[f671,f668]) ).

fof(f671,axiom,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SCT068-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.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 12:28:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  % (19377)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.57  % (19369)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.58  % (19369)Instruction limit reached!
% 0.20/0.58  % (19369)------------------------------
% 0.20/0.58  % (19369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19369)Termination reason: Unknown
% 0.20/0.58  % (19369)Termination phase: Property scanning
% 0.20/0.58  
% 0.20/0.58  % (19369)Memory used [KB]: 1918
% 0.20/0.58  % (19361)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (19369)Time elapsed: 0.011 s
% 0.20/0.58  % (19369)Instructions burned: 7 (million)
% 0.20/0.58  % (19369)------------------------------
% 0.20/0.58  % (19369)------------------------------
% 1.78/0.61  % (19377)Instruction limit reached!
% 1.78/0.61  % (19377)------------------------------
% 1.78/0.61  % (19377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61  % (19377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61  % (19377)Termination reason: Unknown
% 1.78/0.61  % (19377)Termination phase: Saturation
% 1.78/0.61  
% 1.78/0.61  % (19377)Memory used [KB]: 2558
% 1.78/0.61  % (19377)Time elapsed: 0.046 s
% 1.78/0.61  % (19377)Instructions burned: 37 (million)
% 1.78/0.61  % (19377)------------------------------
% 1.78/0.61  % (19377)------------------------------
% 1.78/0.62  % (19364)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.78/0.62  % (19356)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.78/0.62  % (19357)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.78/0.62  % (19372)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.78/0.63  % (19362)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.78/0.63  % (19359)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.78/0.63  % (19360)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.78/0.63  % (19362)Instruction limit reached!
% 1.78/0.63  % (19362)------------------------------
% 1.78/0.63  % (19362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.63  % (19362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.63  % (19362)Termination reason: Unknown
% 1.78/0.63  % (19362)Termination phase: Function definition elimination
% 1.78/0.63  
% 1.78/0.63  % (19362)Memory used [KB]: 1918
% 1.78/0.63  % (19362)Time elapsed: 0.004 s
% 1.78/0.63  % (19362)Instructions burned: 3 (million)
% 1.78/0.63  % (19362)------------------------------
% 1.78/0.63  % (19362)------------------------------
% 1.78/0.63  % (19361)Instruction limit reached!
% 1.78/0.63  % (19361)------------------------------
% 1.78/0.63  % (19361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.63  % (19361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.63  % (19361)Termination reason: Unknown
% 1.78/0.63  % (19361)Termination phase: Property scanning
% 1.78/0.63  
% 1.78/0.63  % (19361)Memory used [KB]: 2302
% 1.78/0.63  % (19361)Time elapsed: 0.052 s
% 1.78/0.63  % (19361)Instructions burned: 51 (million)
% 1.78/0.63  % (19361)------------------------------
% 1.78/0.63  % (19361)------------------------------
% 1.78/0.63  % (19367)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.78/0.63  % (19367)Instruction limit reached!
% 1.78/0.63  % (19367)------------------------------
% 1.78/0.63  % (19367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.63  % (19367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.63  % (19367)Termination reason: Unknown
% 1.78/0.63  % (19367)Termination phase: SInE selection
% 1.78/0.63  
% 1.78/0.63  % (19367)Memory used [KB]: 1791
% 1.78/0.63  % (19367)Time elapsed: 0.004 s
% 1.78/0.63  % (19367)Instructions burned: 4 (million)
% 1.78/0.63  % (19367)------------------------------
% 1.78/0.63  % (19367)------------------------------
% 1.78/0.63  % (19358)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.78/0.63  % (19380)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.78/0.64  % (19363)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.78/0.64  % (19354)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.78/0.64  % (19364)Instruction limit reached!
% 1.78/0.64  % (19364)------------------------------
% 1.78/0.64  % (19364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.64  % (19364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.64  % (19364)Termination reason: Unknown
% 1.78/0.64  % (19364)Termination phase: Property scanning
% 1.78/0.64  
% 1.78/0.64  % (19364)Memory used [KB]: 1918
% 1.78/0.64  % (19364)Time elapsed: 0.007 s
% 1.78/0.64  % (19364)Instructions burned: 6 (million)
% 1.78/0.64  % (19364)------------------------------
% 1.78/0.64  % (19364)------------------------------
% 1.78/0.64  % (19356)Instruction limit reached!
% 1.78/0.64  % (19356)------------------------------
% 1.78/0.64  % (19356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.64  % (19356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.64  % (19356)Termination reason: Unknown
% 1.78/0.64  % (19356)Termination phase: Function definition elimination
% 1.78/0.64  
% 1.78/0.64  % (19356)Memory used [KB]: 1918
% 1.78/0.64  % (19356)Time elapsed: 0.005 s
% 1.78/0.64  % (19356)Instructions burned: 4 (million)
% 1.78/0.64  % (19356)------------------------------
% 1.78/0.64  % (19356)------------------------------
% 1.78/0.65  % (19383)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.08/0.65  % (19357)First to succeed.
% 2.08/0.65  % (19376)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 2.08/0.65  % (19374)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 2.08/0.65  % (19373)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.08/0.66  % (19382)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 2.08/0.66  % (19378)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 2.08/0.66  % (19358)Refutation not found, incomplete strategy% (19358)------------------------------
% 2.08/0.66  % (19358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.66  % (19358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.66  % (19358)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.66  
% 2.08/0.66  % (19358)Memory used [KB]: 6396
% 2.08/0.66  % (19358)Time elapsed: 0.203 s
% 2.08/0.66  % (19358)Instructions burned: 6 (million)
% 2.08/0.66  % (19358)------------------------------
% 2.08/0.66  % (19358)------------------------------
% 2.08/0.66  % (19373)Instruction limit reached!
% 2.08/0.66  % (19373)------------------------------
% 2.08/0.66  % (19373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.66  % (19373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.66  % (19373)Termination reason: Unknown
% 2.08/0.66  % (19373)Termination phase: Property scanning
% 2.08/0.66  
% 2.08/0.66  % (19373)Memory used [KB]: 1918
% 2.08/0.66  % (19373)Time elapsed: 0.007 s
% 2.08/0.66  % (19373)Instructions burned: 8 (million)
% 2.08/0.66  % (19373)------------------------------
% 2.08/0.66  % (19373)------------------------------
% 2.08/0.66  % (19365)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 2.08/0.66  % (19375)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 2.08/0.66  % (19355)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 2.08/0.67  % (19375)Refutation not found, incomplete strategy% (19375)------------------------------
% 2.08/0.67  % (19375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.67  % (19375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.67  % (19375)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.67  
% 2.08/0.67  % (19375)Memory used [KB]: 6396
% 2.08/0.67  % (19375)Time elapsed: 0.211 s
% 2.08/0.67  % (19375)Instructions burned: 5 (million)
% 2.08/0.67  % (19375)------------------------------
% 2.08/0.67  % (19375)------------------------------
% 2.08/0.67  % (19381)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 2.08/0.67  % (19366)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 2.08/0.67  % (19381)Refutation not found, incomplete strategy% (19381)------------------------------
% 2.08/0.67  % (19381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.67  % (19381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.67  % (19381)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.67  
% 2.08/0.67  % (19381)Memory used [KB]: 1918
% 2.08/0.67  % (19381)Time elapsed: 0.210 s
% 2.08/0.67  % (19381)Instructions burned: 4 (million)
% 2.08/0.67  % (19381)------------------------------
% 2.08/0.67  % (19381)------------------------------
% 2.08/0.67  % (19368)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 2.08/0.67  % (19357)Refutation found. Thanks to Tanya!
% 2.08/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.08/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.67  % (19357)------------------------------
% 2.08/0.67  % (19357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.67  % (19357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.67  % (19357)Termination reason: Refutation
% 2.08/0.67  
% 2.08/0.67  % (19357)Memory used [KB]: 6652
% 2.08/0.67  % (19357)Time elapsed: 0.199 s
% 2.08/0.67  % (19357)Instructions burned: 11 (million)
% 2.08/0.67  % (19357)------------------------------
% 2.08/0.67  % (19357)------------------------------
% 2.08/0.67  % (19353)Success in time 0.311 s
%------------------------------------------------------------------------------