TSTP Solution File: SCT120+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SCT120+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : n024.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 18:17:53 EDT 2022

% Result   : Theorem 3.51s 0.91s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   83 (  18 unt;   0 def)
%            Number of atoms       :  306 (  35 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  359 ( 136   ~; 139   |;  52   &)
%                                         (   7 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   6 con; 0-4 aty)
%            Number of variables   :  180 ( 163   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3524,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3401,f3523]) ).

fof(f3523,plain,
    spl89_2,
    inference(avatar_contradiction_clause,[],[f3522]) ).

fof(f3522,plain,
    ( $false
    | spl89_2 ),
    inference(subsumption_resolution,[],[f3520,f3312]) ).

fof(f3312,plain,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(subsumption_resolution,[],[f3311,f2278]) ).

fof(f2278,plain,
    ! [X0] : c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0)),
    inference(cnf_transformation,[],[f841]) ).

fof(f841,plain,
    ! [X0] :
      ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))
      & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0))
      & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) ),
    inference(rectify,[],[f525]) ).

fof(f525,axiom,
    ! [X2] :
      ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2))
      & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X2))
      & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(f3311,plain,
    ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK3(v_P)))
    | c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
    inference(subsumption_resolution,[],[f3310,f2279]) ).

fof(f2279,plain,
    ! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
    inference(cnf_transformation,[],[f841]) ).

fof(f3310,plain,
    ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK3(v_P)))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK3(v_P)))
    | c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
    inference(resolution,[],[f2153,f2277]) ).

fof(f2277,plain,
    ! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
    inference(cnf_transformation,[],[f841]) ).

fof(f2153,plain,
    ! [X0] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0)))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK3(X0)))
      | c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0))) ),
    inference(cnf_transformation,[],[f1512]) ).

fof(f1512,plain,
    ! [X0] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0)))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK3(X0)))
      | ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1186,f1511]) ).

fof(f1511,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1)) )
     => ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0)))
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0)))
        | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK3(X0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f1186,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1)) )
      | ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X0)) ) ),
    inference(ennf_transformation,[],[f836]) ).

fof(f836,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
     => ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X0)) ) ),
    inference(rectify,[],[f523]) ).

fof(f523,axiom,
    ! [X2] :
      ( ! [X7] :
          ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X2,X7))
          & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2,X7))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2,X7)) )
     => ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X2))
        & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X2))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f3520,plain,
    ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | spl89_2 ),
    inference(resolution,[],[f3517,f2852]) ).

fof(f2852,plain,
    ! [X3,X0,X1] :
      ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
      | ~ c_Relation_Oirrefl(X1,X0) ),
    inference(cnf_transformation,[],[f2100]) ).

fof(f2100,plain,
    ! [X0,X1] :
      ( ( c_Relation_Oirrefl(X1,X0)
        | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK84(X0,X1),sK84(X0,X1)),X0) )
      & ( ! [X3] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
        | ~ c_Relation_Oirrefl(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f2098,f2099]) ).

fof(f2099,plain,
    ! [X0,X1] :
      ( ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
     => c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK84(X0,X1),sK84(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f2098,plain,
    ! [X0,X1] :
      ( ( c_Relation_Oirrefl(X1,X0)
        | ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) )
      & ( ! [X3] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
        | ~ c_Relation_Oirrefl(X1,X0) ) ),
    inference(rectify,[],[f2097]) ).

fof(f2097,plain,
    ! [X1,X0] :
      ( ( c_Relation_Oirrefl(X0,X1)
        | ? [X2] : c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1) )
      & ( ! [X2] : ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1)
        | ~ c_Relation_Oirrefl(X0,X1) ) ),
    inference(nnf_transformation,[],[f798]) ).

fof(f798,plain,
    ! [X1,X0] :
      ( c_Relation_Oirrefl(X0,X1)
    <=> ! [X2] : ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X4,X5] :
      ( ! [X2] : ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X2),X5)
    <=> c_Relation_Oirrefl(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_irrefl__def) ).

fof(f3517,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_b),v_F(v_P))
    | spl89_2 ),
    inference(resolution,[],[f3516,f3325]) ).

fof(f3325,plain,
    ! [X0] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_a),v_F(v_P))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_b),v_F(v_P)) ),
    inference(subsumption_resolution,[],[f3318,f3304]) ).

fof(f3304,plain,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(subsumption_resolution,[],[f3303,f2278]) ).

fof(f3303,plain,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK3(v_P))) ),
    inference(subsumption_resolution,[],[f3302,f2279]) ).

fof(f3302,plain,
    ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK3(v_P)))
    | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK3(v_P))) ),
    inference(resolution,[],[f2152,f2277]) ).

fof(f2152,plain,
    ! [X0] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0)))
      | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK3(X0)))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK3(X0))) ),
    inference(cnf_transformation,[],[f1512]) ).

fof(f3318,plain,
    ! [X0] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_a),v_F(v_P))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_b),v_F(v_P)) ),
    inference(resolution,[],[f2206,f2509]) ).

fof(f2509,plain,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    inference(cnf_transformation,[],[f526]) ).

fof(f526,axiom,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

fof(f2206,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X1),X3)
      | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X0),X3)
      | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X1),X3)
      | ~ c_Relation_Otrans(X2,X3) ),
    inference(cnf_transformation,[],[f1559]) ).

fof(f1559,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X1),X3)
      | ~ c_Relation_Otrans(X2,X3)
      | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X0),X3)
      | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X1),X3) ),
    inference(rectify,[],[f1393]) ).

fof(f1393,plain,
    ! [X3,X2,X4,X1,X0] :
      ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X0,X2),X1)
      | ~ c_Relation_Otrans(X4,X1)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X0,X3),X1)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X3,X2),X1) ),
    inference(flattening,[],[f1392]) ).

fof(f1392,plain,
    ! [X1,X0,X2,X4,X3] :
      ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X0,X2),X1)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X3,X2),X1)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X0,X3),X1)
      | ~ c_Relation_Otrans(X4,X1) ),
    inference(ennf_transformation,[],[f866]) ).

fof(f866,plain,
    ! [X1,X0,X2,X4,X3] :
      ( c_Relation_Otrans(X4,X1)
     => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X0,X3),X1)
       => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X3,X2),X1)
         => c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X0,X2),X1) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X12,X5,X10,X11,X4] :
      ( c_Relation_Otrans(X4,X5)
     => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X12,X11),X5)
       => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X11,X10),X5)
         => c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X12,X10),X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_transD) ).

fof(f3516,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))
    | spl89_2 ),
    inference(subsumption_resolution,[],[f3499,f3391]) ).

fof(f3391,plain,
    ( v_a != v_b
    | spl89_2 ),
    inference(avatar_component_clause,[],[f3390]) ).

fof(f3390,plain,
    ( spl89_2
  <=> v_a = v_b ),
    introduced(avatar_definition,[new_symbols(naming,[spl89_2])]) ).

fof(f3499,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))
    | v_a = v_b ),
    inference(resolution,[],[f3381,f2646]) ).

fof(f2646,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(cnf_transformation,[],[f981]) ).

fof(f981,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(flattening,[],[f528]) ).

fof(f528,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(negated_conjecture,[],[f527]) ).

fof(f527,conjecture,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

fof(f3381,plain,
    ! [X0,X1] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_F(v_P))
      | X0 = X1 ),
    inference(duplicate_literal_removal,[],[f3364]) ).

fof(f3364,plain,
    ! [X0,X1] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_F(v_P))
      | X0 = X1
      | X0 = X1
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i)) ),
    inference(resolution,[],[f3334,f3337]) ).

fof(f3337,plain,
    ! [X0,X1] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_P,v_i))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_F(v_P))
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f3336,f2278]) ).

fof(f3336,plain,
    ! [X0,X1] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_P,v_i))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_F(v_P))
      | X0 = X1
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK63(v_P))) ),
    inference(subsumption_resolution,[],[f3335,f2279]) ).

fof(f3335,plain,
    ! [X0,X1] :
      ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK63(v_P)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_F(v_P))
      | X0 = X1
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK63(v_P)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),hAPP(v_P,v_i)) ),
    inference(resolution,[],[f2680,f2277]) ).

fof(f2680,plain,
    ! [X2,X3,X0] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK63(X0)))
      | X2 = X3
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_F(X0))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X0,v_i))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK63(X0)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK63(X0))) ),
    inference(cnf_transformation,[],[f1954]) ).

fof(f1954,plain,
    ! [X0] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK63(X0)))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK63(X0)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK63(X0)))
      | ! [X2,X3] :
          ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X0,v_i))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_F(X0))
          | X2 = X3 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f1952,f1953]) ).

fof(f1953,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
     => ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK63(X0)))
        | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK63(X0)))
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK63(X0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f1952,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
      | ! [X2,X3] :
          ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X0,v_i))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_F(X0))
          | X2 = X3 ) ),
    inference(rectify,[],[f1071]) ).

fof(f1071,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
      | ! [X3,X2] :
          ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
          | X2 = X3 ) ),
    inference(flattening,[],[f1070]) ).

fof(f1070,plain,
    ! [X0] :
      ( ! [X2,X3] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
          | X2 = X3 )
      | ? [X1] :
          ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) ) ),
    inference(ennf_transformation,[],[f655]) ).

fof(f655,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1)) )
     => ! [X2,X3] :
          ( X2 != X3
         => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
           => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0)) ) ) ),
    inference(rectify,[],[f524]) ).

fof(f524,axiom,
    ! [X77] :
      ( ! [X2] :
          ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X77,X2))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X77,X2))
          & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X77,X2)) )
     => ! [X37,X38] :
          ( X37 != X38
         => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X37,X38),hAPP(X77,v_i))
           => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X37,X38),v_F(X77)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f3334,plain,
    ! [X14,X15,X13] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),hAPP(v_P,X15))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(v_P,X15))
      | X13 = X14 ),
    inference(subsumption_resolution,[],[f3333,f2700]) ).

fof(f2700,plain,
    ! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
    inference(cnf_transformation,[],[f1974]) ).

fof(f1974,plain,
    ! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
    inference(rectify,[],[f1030]) ).

fof(f1030,plain,
    ! [X1,X0] : c_member(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X4,X3] : c_member(X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__I) ).

fof(f3333,plain,
    ! [X14,X15,X13] :
      ( X13 = X14
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X13,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(v_P,X15))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),hAPP(v_P,X15)) ),
    inference(subsumption_resolution,[],[f3329,f2700]) ).

fof(f3329,plain,
    ! [X14,X15,X13] :
      ( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X14,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
      | X13 = X14
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),hAPP(v_P,X15))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),hAPP(v_P,X15))
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X13,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool))) ),
    inference(resolution,[],[f2861,f2278]) ).

fof(f2861,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_Relation_Ototal__on(X0,X1,X2)
      | ~ c_member(X0,X3,X1)
      | c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
      | ~ c_member(X0,X4,X1)
      | X3 = X4
      | c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2) ),
    inference(cnf_transformation,[],[f2106]) ).

fof(f2106,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ c_member(X0,X3,X1)
            | ! [X4] :
                ( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
                | X3 = X4
                | ~ c_member(X0,X4,X1)
                | c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2) ) )
        | ~ c_Relation_Ototal__on(X0,X1,X2) )
      & ( c_Relation_Ototal__on(X0,X1,X2)
        | ( c_member(X0,sK85(X0,X1,X2),X1)
          & ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK85(X0,X1,X2),sK86(X0,X1,X2)),X2)
          & sK86(X0,X1,X2) != sK85(X0,X1,X2)
          & c_member(X0,sK86(X0,X1,X2),X1)
          & ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK86(X0,X1,X2),sK85(X0,X1,X2)),X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86])],[f2103,f2105,f2104]) ).

fof(f2104,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( c_member(X0,X5,X1)
          & ? [X6] :
              ( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X5,X6),X2)
              & X5 != X6
              & c_member(X0,X6,X1)
              & ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X6,X5),X2) ) )
     => ( c_member(X0,sK85(X0,X1,X2),X1)
        & ? [X6] :
            ( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK85(X0,X1,X2),X6),X2)
            & sK85(X0,X1,X2) != X6
            & c_member(X0,X6,X1)
            & ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X6,sK85(X0,X1,X2)),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f2105,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK85(X0,X1,X2),X6),X2)
          & sK85(X0,X1,X2) != X6
          & c_member(X0,X6,X1)
          & ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X6,sK85(X0,X1,X2)),X2) )
     => ( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK85(X0,X1,X2),sK86(X0,X1,X2)),X2)
        & sK86(X0,X1,X2) != sK85(X0,X1,X2)
        & c_member(X0,sK86(X0,X1,X2),X1)
        & ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK86(X0,X1,X2),sK85(X0,X1,X2)),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f2103,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ c_member(X0,X3,X1)
            | ! [X4] :
                ( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
                | X3 = X4
                | ~ c_member(X0,X4,X1)
                | c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2) ) )
        | ~ c_Relation_Ototal__on(X0,X1,X2) )
      & ( c_Relation_Ototal__on(X0,X1,X2)
        | ? [X5] :
            ( c_member(X0,X5,X1)
            & ? [X6] :
                ( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X5,X6),X2)
                & X5 != X6
                & c_member(X0,X6,X1)
                & ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X6,X5),X2) ) ) ) ),
    inference(rectify,[],[f2102]) ).

fof(f2102,plain,
    ! [X2,X0,X1] :
      ( ( ! [X3] :
            ( ~ c_member(X2,X3,X0)
            | ! [X4] :
                ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X1)
                | X3 = X4
                | ~ c_member(X2,X4,X0)
                | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1) ) )
        | ~ c_Relation_Ototal__on(X2,X0,X1) )
      & ( c_Relation_Ototal__on(X2,X0,X1)
        | ? [X3] :
            ( c_member(X2,X3,X0)
            & ? [X4] :
                ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X1)
                & X3 != X4
                & c_member(X2,X4,X0)
                & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1) ) ) ) ),
    inference(nnf_transformation,[],[f1069]) ).

fof(f1069,plain,
    ! [X2,X0,X1] :
      ( ! [X3] :
          ( ~ c_member(X2,X3,X0)
          | ! [X4] :
              ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X1)
              | X3 = X4
              | ~ c_member(X2,X4,X0)
              | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1) ) )
    <=> c_Relation_Ototal__on(X2,X0,X1) ),
    inference(flattening,[],[f1068]) ).

fof(f1068,plain,
    ! [X1,X0,X2] :
      ( ! [X3] :
          ( ! [X4] :
              ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1)
              | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X1)
              | X3 = X4
              | ~ c_member(X2,X4,X0) )
          | ~ c_member(X2,X3,X0) )
    <=> c_Relation_Ototal__on(X2,X0,X1) ),
    inference(ennf_transformation,[],[f772]) ).

fof(f772,plain,
    ! [X1,X0,X2] :
      ( ! [X3] :
          ( c_member(X2,X3,X0)
         => ! [X4] :
              ( c_member(X2,X4,X0)
             => ( X3 != X4
               => ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1)
                  | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X1) ) ) ) )
    <=> c_Relation_Ototal__on(X2,X0,X1) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X6,X5,X4] :
      ( c_Relation_Ototal__on(X4,X6,X5)
    <=> ! [X2] :
          ( c_member(X4,X2,X6)
         => ! [X7] :
              ( c_member(X4,X7,X6)
             => ( X2 != X7
               => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X7,X2),X5)
                  | c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X7),X5) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_total__on__def) ).

fof(f3401,plain,
    ~ spl89_2,
    inference(avatar_contradiction_clause,[],[f3400]) ).

fof(f3400,plain,
    ( $false
    | ~ spl89_2 ),
    inference(subsumption_resolution,[],[f3398,f3312]) ).

fof(f3398,plain,
    ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ spl89_2 ),
    inference(resolution,[],[f3396,f2852]) ).

fof(f3396,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a),v_F(v_P))
    | ~ spl89_2 ),
    inference(backward_demodulation,[],[f2509,f3392]) ).

fof(f3392,plain,
    ( v_a = v_b
    | ~ spl89_2 ),
    inference(avatar_component_clause,[],[f3390]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SCT120+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 12:33:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.16/0.59  % (1344)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)
% 1.16/0.59  % (1346)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.16/0.59  % (1345)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.16/0.59  % (1346)Instruction limit reached!
% 1.16/0.59  % (1346)------------------------------
% 1.16/0.59  % (1346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.16/0.59  % (1346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.16/0.59  % (1346)Termination reason: Unknown
% 1.16/0.59  % (1346)Termination phase: Preprocessing 1
% 1.16/0.59  
% 1.16/0.59  % (1346)Memory used [KB]: 1407
% 1.16/0.59  % (1346)Time elapsed: 0.003 s
% 1.16/0.59  % (1346)Instructions burned: 2 (million)
% 1.16/0.59  % (1346)------------------------------
% 1.16/0.59  % (1346)------------------------------
% 1.16/0.60  % (1345)Instruction limit reached!
% 1.16/0.60  % (1345)------------------------------
% 1.16/0.60  % (1345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.16/0.60  % (1362)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.16/0.60  % (1353)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)
% 1.16/0.60  % (1361)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)
% 1.16/0.60  % (1352)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)
% 1.16/0.60  % (1354)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)
% 1.16/0.60  % (1360)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)
% 1.63/0.61  % (1345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61  % (1345)Termination reason: Unknown
% 1.63/0.61  % (1345)Termination phase: Preprocessing 1
% 1.63/0.61  
% 1.63/0.61  % (1345)Memory used [KB]: 1663
% 1.63/0.61  % (1345)Time elapsed: 0.006 s
% 1.63/0.61  % (1345)Instructions burned: 7 (million)
% 1.63/0.61  % (1345)------------------------------
% 1.63/0.61  % (1345)------------------------------
% 1.63/0.63  % (1340)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)
% 1.63/0.64  % (1348)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.63/0.64  % (1359)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.63/0.65  % (1364)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)
% 1.63/0.65  % (1367)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)
% 1.63/0.65  % (1342)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.65  % (1343)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)
% 1.63/0.66  % (1356)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.63/0.66  % (1366)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.63/0.66  % (1351)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.67  % (1350)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.63/0.67  % (1341)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)
% 1.63/0.67  % (1358)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)
% 2.11/0.68  % (1357)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)
% 2.11/0.68  % (1344)Instruction limit reached!
% 2.11/0.68  % (1344)------------------------------
% 2.11/0.68  % (1344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.68  % (1344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.68  % (1344)Termination reason: Unknown
% 2.11/0.68  % (1344)Termination phase: Finite model building preprocessing
% 2.11/0.68  
% 2.11/0.68  % (1344)Memory used [KB]: 3070
% 2.11/0.68  % (1344)Time elapsed: 0.035 s
% 2.11/0.68  % (1344)Instructions burned: 51 (million)
% 2.11/0.68  % (1344)------------------------------
% 2.11/0.68  % (1344)------------------------------
% 2.11/0.68  % (1349)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)
% 2.11/0.69  % (1365)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)
% 2.11/0.71  % (1355)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.11/0.71  % (1347)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)
% 2.11/0.72  % (1352)Instruction limit reached!
% 2.11/0.72  % (1352)------------------------------
% 2.11/0.72  % (1352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.72  % (1352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.72  % (1352)Termination reason: Unknown
% 2.11/0.72  % (1352)Termination phase: Saturation
% 2.11/0.72  
% 2.11/0.72  % (1352)Memory used [KB]: 8443
% 2.11/0.72  % (1352)Time elapsed: 0.063 s
% 2.11/0.72  % (1352)Instructions burned: 68 (million)
% 2.11/0.72  % (1363)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.11/0.72  % (1352)------------------------------
% 2.11/0.72  % (1352)------------------------------
% 2.11/0.73  % (1339)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)
% 2.11/0.73  % (1340)Instruction limit reached!
% 2.11/0.73  % (1340)------------------------------
% 2.11/0.73  % (1340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.73  % (1340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.73  % (1340)Termination reason: Unknown
% 2.11/0.73  % (1340)Termination phase: Function definition elimination
% 2.11/0.73  
% 2.11/0.73  % (1340)Memory used [KB]: 2814
% 2.11/0.73  % (1340)Time elapsed: 0.029 s
% 2.11/0.73  % (1340)Instructions burned: 37 (million)
% 2.11/0.73  % (1340)------------------------------
% 2.11/0.73  % (1340)------------------------------
% 2.11/0.74  % (1338)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)
% 2.11/0.75  % (1353)Instruction limit reached!
% 2.11/0.75  % (1353)------------------------------
% 2.11/0.75  % (1353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.76  % (1353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.76  % (1353)Termination reason: Unknown
% 2.11/0.76  % (1353)Termination phase: Saturation
% 2.11/0.76  
% 2.11/0.76  % (1353)Memory used [KB]: 3326
% 2.11/0.76  % (1353)Time elapsed: 0.078 s
% 2.11/0.76  % (1353)Instructions burned: 76 (million)
% 2.11/0.76  % (1353)------------------------------
% 2.11/0.76  % (1353)------------------------------
% 2.11/0.77  % (1343)Instruction limit reached!
% 2.11/0.77  % (1343)------------------------------
% 2.11/0.77  % (1343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.77  % (1343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.77  % (1343)Termination reason: Unknown
% 2.11/0.77  % (1343)Termination phase: Property scanning
% 2.11/0.77  
% 2.11/0.77  % (1343)Memory used [KB]: 2814
% 2.11/0.77  % (1343)Time elapsed: 0.036 s
% 2.11/0.77  % (1343)Instructions burned: 49 (million)
% 2.11/0.77  % (1343)------------------------------
% 2.11/0.77  % (1343)------------------------------
% 2.11/0.77  % (1342)Instruction limit reached!
% 2.11/0.77  % (1342)------------------------------
% 2.11/0.77  % (1342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.77  % (1342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.77  % (1342)Termination reason: Unknown
% 2.11/0.77  % (1342)Termination phase: Property scanning
% 2.11/0.77  
% 2.11/0.77  % (1342)Memory used [KB]: 2814
% 2.11/0.77  % (1342)Time elapsed: 0.037 s
% 2.11/0.77  % (1342)Instructions burned: 51 (million)
% 2.11/0.77  % (1342)------------------------------
% 2.11/0.77  % (1342)------------------------------
% 2.76/0.77  % (1348)Instruction limit reached!
% 2.76/0.77  % (1348)------------------------------
% 2.76/0.77  % (1348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.77  % (1348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.77  % (1348)Termination reason: Unknown
% 2.76/0.77  % (1348)Termination phase: Property scanning
% 2.76/0.77  
% 2.76/0.77  % (1348)Memory used [KB]: 2814
% 2.76/0.77  % (1348)Time elapsed: 0.036 s
% 2.76/0.77  % (1348)Instructions burned: 51 (million)
% 2.76/0.77  % (1348)------------------------------
% 2.76/0.77  % (1348)------------------------------
% 2.76/0.78  % (1354)Instruction limit reached!
% 2.76/0.78  % (1354)------------------------------
% 2.76/0.78  % (1354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.80  % (1389)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.92/0.80  % (1391)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.92/0.80  % (1364)Instruction limit reached!
% 2.92/0.80  % (1364)------------------------------
% 2.92/0.80  % (1364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.80  % (1364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.80  % (1364)Termination reason: Unknown
% 2.92/0.80  % (1364)Termination phase: Saturation
% 2.92/0.80  
% 2.92/0.80  % (1364)Memory used [KB]: 8443
% 2.92/0.80  % (1364)Time elapsed: 0.049 s
% 2.92/0.80  % (1364)Instructions burned: 68 (million)
% 2.92/0.80  % (1364)------------------------------
% 2.92/0.80  % (1364)------------------------------
% 2.92/0.80  % (1354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.80  % (1354)Termination reason: Unknown
% 2.92/0.80  % (1354)Termination phase: Saturation
% 2.92/0.80  
% 2.92/0.80  % (1354)Memory used [KB]: 8059
% 2.92/0.80  % (1354)Time elapsed: 0.298 s
% 2.92/0.80  % (1354)Instructions burned: 99 (million)
% 2.92/0.80  % (1354)------------------------------
% 2.92/0.80  % (1354)------------------------------
% 2.92/0.81  % (1341)Instruction limit reached!
% 2.92/0.81  % (1341)------------------------------
% 2.92/0.81  % (1341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.81  % (1341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.81  % (1341)Termination reason: Unknown
% 2.92/0.81  % (1341)Termination phase: Saturation
% 2.92/0.81  
% 2.92/0.81  % (1341)Memory used [KB]: 7291
% 2.92/0.81  % (1341)Time elapsed: 0.038 s
% 2.92/0.81  % (1341)Instructions burned: 51 (million)
% 2.92/0.81  % (1341)------------------------------
% 2.92/0.81  % (1341)------------------------------
% 3.13/0.85  % (1339)Instruction limit reached!
% 3.13/0.85  % (1339)------------------------------
% 3.13/0.85  % (1339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.85  % (1339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.85  % (1339)Termination reason: Unknown
% 3.13/0.85  % (1339)Termination phase: Saturation
% 3.13/0.85  
% 3.13/0.85  % (1339)Memory used [KB]: 2814
% 3.13/0.85  % (1339)Time elapsed: 0.037 s
% 3.13/0.85  % (1339)Instructions burned: 50 (million)
% 3.13/0.85  % (1339)------------------------------
% 3.13/0.85  % (1339)------------------------------
% 3.13/0.86  % (1347)Instruction limit reached!
% 3.13/0.86  % (1347)------------------------------
% 3.13/0.86  % (1347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.86  % (1347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.86  % (1347)Termination reason: Unknown
% 3.13/0.86  % (1347)Termination phase: Saturation
% 3.13/0.86  
% 3.13/0.86  % (1347)Memory used [KB]: 2942
% 3.13/0.86  % (1347)Time elapsed: 0.038 s
% 3.13/0.86  % (1347)Instructions burned: 52 (million)
% 3.13/0.86  % (1347)------------------------------
% 3.13/0.86  % (1347)------------------------------
% 3.13/0.86  % (1395)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.13/0.87  % (1356)Instruction limit reached!
% 3.13/0.87  % (1356)------------------------------
% 3.13/0.87  % (1356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.87  % (1356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.87  % (1356)Termination reason: Unknown
% 3.13/0.87  % (1356)Termination phase: Saturation
% 3.13/0.87  
% 3.13/0.87  % (1356)Memory used [KB]: 8059
% 3.13/0.87  % (1356)Time elapsed: 0.071 s
% 3.13/0.87  % (1356)Instructions burned: 100 (million)
% 3.13/0.87  % (1356)------------------------------
% 3.13/0.87  % (1356)------------------------------
% 3.13/0.89  % (1361)First to succeed.
% 3.13/0.89  % (1355)Instruction limit reached!
% 3.13/0.89  % (1355)------------------------------
% 3.13/0.89  % (1355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.89  % (1355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.89  % (1355)Termination reason: Unknown
% 3.13/0.89  % (1355)Termination phase: Blocked clause elimination
% 3.13/0.89  
% 3.13/0.89  % (1355)Memory used [KB]: 3198
% 3.13/0.89  % (1355)Time elapsed: 0.043 s
% 3.13/0.89  % (1355)Instructions burned: 59 (million)
% 3.13/0.89  % (1355)------------------------------
% 3.13/0.89  % (1355)------------------------------
% 3.13/0.90  % (1399)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.51/0.91  % (1351)Instruction limit reached!
% 3.51/0.91  % (1351)------------------------------
% 3.51/0.91  % (1351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.91  % (1351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.91  % (1351)Termination reason: Unknown
% 3.51/0.91  % (1351)Termination phase: Saturation
% 3.51/0.91  
% 3.51/0.91  % (1351)Memory used [KB]: 7931
% 3.51/0.91  % (1351)Time elapsed: 0.420 s
% 3.51/0.91  % (1351)Instructions burned: 100 (million)
% 3.51/0.91  % (1351)------------------------------
% 3.51/0.91  % (1351)------------------------------
% 3.51/0.91  % (1361)Refutation found. Thanks to Tanya!
% 3.51/0.91  % SZS status Theorem for theBenchmark
% 3.51/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 3.51/0.91  % (1361)------------------------------
% 3.51/0.91  % (1361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.91  % (1361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.91  % (1361)Termination reason: Refutation
% 3.51/0.91  
% 3.51/0.91  % (1361)Memory used [KB]: 8571
% 3.51/0.91  % (1361)Time elapsed: 0.406 s
% 3.51/0.91  % (1361)Instructions burned: 149 (million)
% 3.51/0.91  % (1361)------------------------------
% 3.51/0.91  % (1361)------------------------------
% 3.51/0.91  % (1337)Success in time 0.545 s
%------------------------------------------------------------------------------