TSTP Solution File: SWW210+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW210+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 : Tue May 21 06:58:06 EDT 2024

% Result   : Theorem 0.79s 0.98s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   60 (  12 unt;   0 def)
%            Number of atoms       :  147 (   6 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  143 (  56   ~;  54   |;  12   &)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  11 con; 0-3 aty)
%            Number of variables   :   80 (  60   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2822,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2777,f2781,f2785,f2786,f2787,f2808,f2821]) ).

fof(f2821,plain,
    ( ~ spl12_1
    | ~ spl12_4 ),
    inference(avatar_contradiction_clause,[],[f2818]) ).

fof(f2818,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4 ),
    inference(resolution,[],[f2815,f2780]) ).

fof(f2780,plain,
    ( ! [X2] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK1(X2))
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f2779]) ).

fof(f2779,plain,
    ( spl12_4
  <=> ! [X2] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK1(X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f2815,plain,
    ( ! [X0] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK6,sK1(X0))
    | ~ spl12_1 ),
    inference(resolution,[],[f2769,f2362]) ).

fof(f2362,plain,
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK6,X1) ),
    inference(definition_unfolding,[],[f1999,f2137,f2099]) ).

fof(f2099,plain,
    ! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
    inference(cnf_transformation,[],[f1377]) ).

fof(f1377,plain,
    ! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
    inference(rectify,[],[f496]) ).

fof(f496,axiom,
    ! [X16] : c_Int_OBit1(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X16),X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit1__def) ).

fof(f2137,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(cnf_transformation,[],[f1400]) ).

fof(f1400,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(rectify,[],[f390]) ).

fof(f390,axiom,
    ! [X16] : c_Int_OBit0(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit0__def) ).

fof(f1999,plain,
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK6,X1) ),
    inference(cnf_transformation,[],[f1741]) ).

fof(f1741,plain,
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK6,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f1606,f1740]) ).

fof(f1740,plain,
    ( ? [X0] :
      ! [X1] :
        ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) )
   => ! [X1] :
        ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK6,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f1606,plain,
    ? [X0] :
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
    inference(ennf_transformation,[],[f1313]) ).

fof(f1313,plain,
    ? [X0] :
    ! [X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ? [X3] :
    ! [X4] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X4))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096) ).

fof(f2769,plain,
    ( ! [X2] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f2768]) ).

fof(f2768,plain,
    ( spl12_1
  <=> ! [X2] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f2808,plain,
    ( ~ spl12_2
    | ~ spl12_5 ),
    inference(avatar_contradiction_clause,[],[f2803]) ).

fof(f2803,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5 ),
    inference(resolution,[],[f2800,f2784]) ).

fof(f2784,plain,
    ( ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK0(X0))
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f2783]) ).

fof(f2783,plain,
    ( spl12_5
  <=> ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK0(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f2800,plain,
    ( ! [X0] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8,sK0(X0))
    | ~ spl12_2 ),
    inference(resolution,[],[f2772,f2460]) ).

fof(f2460,plain,
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8,X1) ),
    inference(definition_unfolding,[],[f2215,f2137,f2099]) ).

fof(f2215,plain,
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8,X1) ),
    inference(cnf_transformation,[],[f1804]) ).

fof(f1804,plain,
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f1651,f1803]) ).

fof(f1803,plain,
    ( ? [X0] :
      ! [X1] :
        ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) )
   => ! [X1] :
        ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f1651,plain,
    ? [X0] :
    ! [X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
    inference(ennf_transformation,[],[f1445]) ).

fof(f1445,plain,
    ? [X0] :
    ! [X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ? [X3] :
    ! [X4] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X4)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096) ).

fof(f2772,plain,
    ( ! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f2771]) ).

fof(f2771,plain,
    ( spl12_2
  <=> ! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f2787,plain,
    ~ spl12_3,
    inference(avatar_split_clause,[],[f1845,f2774]) ).

fof(f2774,plain,
    ( spl12_3
  <=> v_thesis____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f1845,plain,
    ~ v_thesis____,
    inference(cnf_transformation,[],[f1205]) ).

fof(f1205,plain,
    ~ v_thesis____,
    inference(flattening,[],[f1203]) ).

fof(f1203,negated_conjecture,
    ~ v_thesis____,
    inference(negated_conjecture,[],[f1202]) ).

fof(f1202,conjecture,
    v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f2786,plain,
    ( spl12_4
    | spl12_5
    | spl12_3 ),
    inference(avatar_split_clause,[],[f1841,f2774,f2783,f2779]) ).

fof(f1841,plain,
    ! [X2,X0] :
      ( v_thesis____
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK0(X0))
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK1(X2)) ),
    inference(cnf_transformation,[],[f1691]) ).

fof(f1691,plain,
    ( v_thesis____
    | ! [X0] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK0(X0)) )
    | ! [X2] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK1(X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1688,f1690,f1689]) ).

fof(f1689,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
          & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) )
     => ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1690,plain,
    ! [X2] :
      ( ? [X3] :
          ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X3))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
          & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) )
     => ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK1(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1688,plain,
    ( v_thesis____
    | ! [X0] :
      ? [X1] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) )
    | ! [X2] :
      ? [X3] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X3))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ) ),
    inference(rectify,[],[f1546]) ).

fof(f1546,plain,
    ( v_thesis____
    | ! [X2] :
      ? [X3] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X3)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) )
    | ! [X0] :
      ? [X1] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ) ),
    inference(flattening,[],[f1545]) ).

fof(f1545,plain,
    ( v_thesis____
    | ! [X2] :
      ? [X3] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X3)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) )
    | ! [X0] :
      ? [X1] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ) ),
    inference(ennf_transformation,[],[f1204]) ).

fof(f1204,plain,
    ( ? [X0] :
      ! [X1] :
        ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
       => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
   => ( ? [X2] :
        ! [X3] :
          ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X3)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
     => v_thesis____ ) ),
    inference(rectify,[],[f1201]) ).

fof(f1201,axiom,
    ( ? [X80] :
      ! [X4] :
        ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X80,X4)
       => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X4))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
   => ( ? [X81] :
        ! [X4] :
          ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X81,X4)
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X4)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
     => v_thesis____ ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f2785,plain,
    ( spl12_1
    | spl12_5
    | spl12_3 ),
    inference(avatar_split_clause,[],[f2357,f2774,f2783,f2768]) ).

fof(f2357,plain,
    ! [X2,X0] :
      ( v_thesis____
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK0(X0))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(definition_unfolding,[],[f1842,f2137,f2099]) ).

fof(f1842,plain,
    ! [X2,X0] :
      ( v_thesis____
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,sK0(X0))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(cnf_transformation,[],[f1691]) ).

fof(f2781,plain,
    ( spl12_4
    | spl12_2
    | spl12_3 ),
    inference(avatar_split_clause,[],[f2356,f2774,f2771,f2779]) ).

fof(f2356,plain,
    ! [X2,X0] :
      ( v_thesis____
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK1(X2)) ),
    inference(definition_unfolding,[],[f1843,f2137,f2099]) ).

fof(f1843,plain,
    ! [X2,X0] :
      ( v_thesis____
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK1(X2)) ),
    inference(cnf_transformation,[],[f1691]) ).

fof(f2777,plain,
    ( spl12_1
    | spl12_2
    | spl12_3 ),
    inference(avatar_split_clause,[],[f2355,f2774,f2771,f2768]) ).

fof(f2355,plain,
    ! [X2,X0] :
      ( v_thesis____
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) ),
    inference(definition_unfolding,[],[f1844,f2137,f2099,f2137,f2099]) ).

fof(f1844,plain,
    ! [X2,X0] :
      ( v_thesis____
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,sK0(X0))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,sK1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    inference(cnf_transformation,[],[f1691]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWW210+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.39  % Computer : n002.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit   : 300
% 0.14/0.39  % WCLimit    : 300
% 0.14/0.39  % DateTime   : Sat May 18 19:08:08 EDT 2024
% 0.14/0.39  % CPUTime    : 
% 0.14/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.39  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.79/0.95  % (8469)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.79/0.95  % (8464)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.79/0.95  % (8466)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.79/0.95  % (8467)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.79/0.95  % (8465)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.79/0.95  % (8468)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.79/0.95  % (8470)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.79/0.95  % (8471)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.79/0.97  % (8464)Instruction limit reached!
% 0.79/0.97  % (8464)------------------------------
% 0.79/0.97  % (8464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.97  % (8464)Termination reason: Unknown
% 0.79/0.97  % (8464)Termination phase: Property scanning
% 0.79/0.97  
% 0.79/0.97  % (8464)Memory used [KB]: 2366
% 0.79/0.97  % (8464)Time elapsed: 0.019 s
% 0.79/0.97  % (8464)Instructions burned: 35 (million)
% 0.79/0.97  % (8464)------------------------------
% 0.79/0.97  % (8464)------------------------------
% 0.79/0.97  % (8468)Instruction limit reached!
% 0.79/0.97  % (8468)------------------------------
% 0.79/0.97  % (8468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.97  % (8468)Termination reason: Unknown
% 0.79/0.97  % (8468)Termination phase: Preprocessing 3
% 0.79/0.97  
% 0.79/0.97  % (8468)Memory used [KB]: 3111
% 0.79/0.97  % (8468)Time elapsed: 0.020 s
% 0.79/0.97  % (8468)Instructions burned: 34 (million)
% 0.79/0.97  % (8468)------------------------------
% 0.79/0.97  % (8468)------------------------------
% 0.79/0.97  % (8467)Instruction limit reached!
% 0.79/0.97  % (8467)------------------------------
% 0.79/0.97  % (8467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.97  % (8467)Termination reason: Unknown
% 0.79/0.97  % (8467)Termination phase: Saturation
% 0.79/0.97  
% 0.79/0.97  % (8467)Memory used [KB]: 2334
% 0.79/0.97  % (8467)Time elapsed: 0.020 s
% 0.79/0.97  % (8467)Instructions burned: 33 (million)
% 0.79/0.97  % (8467)------------------------------
% 0.79/0.97  % (8467)------------------------------
% 0.79/0.97  % (8472)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.79/0.97  % (8473)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.79/0.97  % (8474)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.79/0.97  % (8469)Instruction limit reached!
% 0.79/0.97  % (8469)------------------------------
% 0.79/0.97  % (8469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.97  % (8469)Termination reason: Unknown
% 0.79/0.97  % (8469)Termination phase: Saturation
% 0.79/0.97  
% 0.79/0.97  % (8469)Memory used [KB]: 2602
% 0.79/0.97  % (8469)Time elapsed: 0.025 s
% 0.79/0.97  % (8469)Instructions burned: 45 (million)
% 0.79/0.97  % (8469)------------------------------
% 0.79/0.97  % (8469)------------------------------
% 0.79/0.98  % (8471)First to succeed.
% 0.79/0.98  % (8465)Instruction limit reached!
% 0.79/0.98  % (8465)------------------------------
% 0.79/0.98  % (8465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.98  % (8465)Termination reason: Unknown
% 0.79/0.98  % (8465)Termination phase: Property scanning
% 0.79/0.98  
% 0.79/0.98  % (8465)Memory used [KB]: 3341
% 0.79/0.98  % (8465)Time elapsed: 0.028 s
% 0.79/0.98  % (8465)Instructions burned: 51 (million)
% 0.79/0.98  % (8465)------------------------------
% 0.79/0.98  % (8465)------------------------------
% 0.79/0.98  % (8471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8463"
% 0.79/0.98  % (8475)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.79/0.98  % (8471)Refutation found. Thanks to Tanya!
% 0.79/0.98  % SZS status Theorem for theBenchmark
% 0.79/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.98  % (8471)------------------------------
% 0.79/0.98  % (8471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.98  % (8471)Termination reason: Refutation
% 0.79/0.98  
% 0.79/0.98  % (8471)Memory used [KB]: 2498
% 0.79/0.98  % (8471)Time elapsed: 0.027 s
% 0.79/0.98  % (8471)Instructions burned: 52 (million)
% 0.79/0.98  % (8463)Success in time 0.579 s
% 0.79/0.98  % Vampire---4.8 exiting
%------------------------------------------------------------------------------