TSTP Solution File: SWW285+1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW285+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.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 : Mon Jun 24 18:31:53 EDT 2024

% Result   : Theorem 1.41s 0.70s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  120 (  25 unt;   0 def)
%            Number of atoms       :  245 (  64 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  214 (  89   ~;  88   |;   2   &)
%                                         (  15 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :  120 ( 120   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15869,plain,
    $false,
    inference(avatar_sat_refutation,[],[f5374,f5894,f5911,f6202,f6211,f6797,f6807,f7710,f10271,f10302,f10387,f15591]) ).

fof(f15591,plain,
    ~ spl26_203,
    inference(avatar_contradiction_clause,[],[f15590]) ).

fof(f15590,plain,
    ( $false
    | ~ spl26_203 ),
    inference(subsumption_resolution,[],[f15589,f5041]) ).

fof(f5041,plain,
    ! [X1] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1),
    inference(equality_resolution,[],[f3990]) ).

fof(f3990,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
    inference(cnf_transformation,[],[f1588]) ).

fof(f1588,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
    <=> ( X0 != X1
        & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X0) ) ),
    inference(rectify,[],[f971]) ).

fof(f971,axiom,
    ! [X37,X10] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X10,X37)
    <=> ( X10 != X37
        & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X10,X37) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f15589,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,v_p,v_p)
    | ~ spl26_203 ),
    inference(forward_demodulation,[],[f12162,f10386]) ).

fof(f10386,plain,
    ( ! [X0] : v_p = X0
    | ~ spl26_203 ),
    inference(avatar_component_clause,[],[f10385]) ).

fof(f10385,plain,
    ( spl26_203
  <=> ! [X0] : v_p = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_203])]) ).

fof(f12162,plain,
    ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,v_p),v_p)
    | ~ spl26_203 ),
    inference(backward_demodulation,[],[f7828,f10386]) ).

fof(f7828,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(resolution,[],[f7794,f5406]) ).

fof(f5406,plain,
    c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(superposition,[],[f5059,f3560]) ).

fof(f3560,plain,
    ! [X0] : c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X0),
    inference(cnf_transformation,[],[f1220]) ).

fof(f1220,plain,
    ! [X0] : c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X0),
    inference(rectify,[],[f372]) ).

fof(f372,axiom,
    ! [X40] : c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X40),X40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5059,plain,
    ! [X1] : c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(equality_resolution,[],[f4028]) ).

fof(f4028,plain,
    ! [X0,X1] :
      ( X0 != X1
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
    inference(cnf_transformation,[],[f1600]) ).

fof(f1600,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    <=> ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ) ),
    inference(rectify,[],[f632]) ).

fof(f632,axiom,
    ! [X10,X37] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X37,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X10,c_Groups_Oone__class_Oone(tc_Int_Oint)))
    <=> ( X10 = X37
        | c_Orderings_Oord__class_Oless(tc_Int_Oint,X37,X10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7794,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
      | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
    inference(superposition,[],[f4027,f3550]) ).

fof(f3550,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) = X0,
    inference(cnf_transformation,[],[f1210]) ).

fof(f1210,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) = X0,
    inference(rectify,[],[f386]) ).

fof(f386,axiom,
    ! [X40] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X40) = X40,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4027,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)))
      | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
    inference(cnf_transformation,[],[f1600]) ).

fof(f10387,plain,
    ( spl26_203
    | ~ spl26_22
    | ~ spl26_187 ),
    inference(avatar_split_clause,[],[f10383,f10300,f5909,f10385]) ).

fof(f5909,plain,
    ( spl26_22
  <=> ! [X0] :
        ( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
        | v_p = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).

fof(f10300,plain,
    ( spl26_187
  <=> ! [X0] : c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_187])]) ).

fof(f10383,plain,
    ( ! [X0] : v_p = X0
    | ~ spl26_22
    | ~ spl26_187 ),
    inference(subsumption_resolution,[],[f5910,f10301]) ).

fof(f10301,plain,
    ( ! [X0] : c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
    | ~ spl26_187 ),
    inference(avatar_component_clause,[],[f10300]) ).

fof(f5910,plain,
    ( ! [X0] :
        ( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
        | v_p = X0 )
    | ~ spl26_22 ),
    inference(avatar_component_clause,[],[f5909]) ).

fof(f10302,plain,
    ( spl26_187
    | ~ spl26_39
    | ~ spl26_182 ),
    inference(avatar_split_clause,[],[f10277,f10268,f6805,f10300]) ).

fof(f6805,plain,
    ( spl26_39
  <=> ! [X0] : c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).

fof(f10268,plain,
    ( spl26_182
  <=> v_p = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_182])]) ).

fof(f10277,plain,
    ( ! [X0] : c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
    | ~ spl26_39
    | ~ spl26_182 ),
    inference(backward_demodulation,[],[f6806,f10270]) ).

fof(f10270,plain,
    ( v_p = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ spl26_182 ),
    inference(avatar_component_clause,[],[f10268]) ).

fof(f6806,plain,
    ( ! [X0] : c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0)
    | ~ spl26_39 ),
    inference(avatar_component_clause,[],[f6805]) ).

fof(f10271,plain,
    ( spl26_182
    | ~ spl26_27
    | ~ spl26_75 ),
    inference(avatar_split_clause,[],[f10265,f7708,f6208,f10268]) ).

fof(f6208,plain,
    ( spl26_27
  <=> v_p = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).

fof(f7708,plain,
    ( spl26_75
  <=> ! [X0] : c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_75])]) ).

fof(f10265,plain,
    ( v_p = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ spl26_27
    | ~ spl26_75 ),
    inference(superposition,[],[f7709,f6210]) ).

fof(f6210,plain,
    ( v_p = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | ~ spl26_27 ),
    inference(avatar_component_clause,[],[f6208]) ).

fof(f7709,plain,
    ( ! [X0] : c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | ~ spl26_75 ),
    inference(avatar_component_clause,[],[f7708]) ).

fof(f7710,plain,
    ( spl26_75
    | ~ spl26_7 ),
    inference(avatar_split_clause,[],[f7704,f5365,f7708]) ).

fof(f5365,plain,
    ( spl26_7
  <=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f7704,plain,
    ( ! [X0] : c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | ~ spl26_7 ),
    inference(resolution,[],[f3886,f5366]) ).

fof(f5366,plain,
    ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f5365]) ).

fof(f3886,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(X1)
      | c_Groups_Oone__class_Oone(X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(cnf_transformation,[],[f2494]) ).

fof(f2494,plain,
    ! [X0,X1] :
      ( c_Groups_Oone__class_Oone(X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
      | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(ennf_transformation,[],[f1503]) ).

fof(f1503,plain,
    ! [X0,X1] :
      ( class_Rings_Ocomm__semiring__1(X1)
     => c_Groups_Oone__class_Oone(X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(rectify,[],[f278]) ).

fof(f278,axiom,
    ! [X14,X4] :
      ( class_Rings_Ocomm__semiring__1(X4)
     => c_Groups_Oone__class_Oone(X4) = hAPP(hAPP(c_Power_Opower__class_Opower(X4),X14),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6807,plain,
    ( spl26_39
    | ~ spl26_21
    | ~ spl26_37 ),
    inference(avatar_split_clause,[],[f6803,f6788,f5892,f6805]) ).

fof(f5892,plain,
    ( spl26_21
  <=> ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).

fof(f6788,plain,
    ( spl26_37
  <=> class_Rings_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_37])]) ).

fof(f6803,plain,
    ( ! [X0] : c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0)
    | ~ spl26_21
    | ~ spl26_37 ),
    inference(subsumption_resolution,[],[f6800,f6789]) ).

fof(f6789,plain,
    ( class_Rings_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ spl26_37 ),
    inference(avatar_component_clause,[],[f6788]) ).

fof(f6800,plain,
    ( ! [X0] :
        ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0)
        | ~ class_Rings_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
    | ~ spl26_21 ),
    inference(superposition,[],[f5184,f5893]) ).

fof(f5893,plain,
    ( ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0) = X0
    | ~ spl26_21 ),
    inference(avatar_component_clause,[],[f5892]) ).

fof(f5184,plain,
    ! [X3,X0,X1] :
      ( c_Rings_Odvd__class_Odvd(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0))
      | ~ class_Rings_Odvd(X3) ),
    inference(equality_resolution,[],[f4718]) ).

fof(f4718,plain,
    ! [X2,X3,X0,X1] :
      ( ~ class_Rings_Odvd(X3)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0) != X2
      | c_Rings_Odvd__class_Odvd(X3,X1,X2) ),
    inference(cnf_transformation,[],[f3199]) ).

fof(f3199,plain,
    ! [X0,X1,X2,X3] :
      ( c_Rings_Odvd__class_Odvd(X3,X1,X2)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0) != X2
      | ~ class_Rings_Odvd(X3) ),
    inference(flattening,[],[f3198]) ).

fof(f3198,plain,
    ! [X0,X1,X2,X3] :
      ( c_Rings_Odvd__class_Odvd(X3,X1,X2)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0) != X2
      | ~ class_Rings_Odvd(X3) ),
    inference(ennf_transformation,[],[f2094]) ).

fof(f2094,plain,
    ! [X0,X1,X2,X3] :
      ( class_Rings_Odvd(X3)
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0) = X2
       => c_Rings_Odvd__class_Odvd(X3,X1,X2) ) ),
    inference(rectify,[],[f145]) ).

fof(f145,axiom,
    ! [X41,X24,X16,X4] :
      ( class_Rings_Odvd(X4)
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X24),X41) = X16
       => c_Rings_Odvd__class_Odvd(X4,X24,X16) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6797,plain,
    spl26_37,
    inference(avatar_contradiction_clause,[],[f6796]) ).

fof(f6796,plain,
    ( $false
    | spl26_37 ),
    inference(subsumption_resolution,[],[f6795,f3506]) ).

fof(f3506,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1101]) ).

fof(f1101,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6795,plain,
    ( ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
    | spl26_37 ),
    inference(resolution,[],[f6790,f3642]) ).

fof(f3642,plain,
    ! [X0] :
      ( class_Rings_Odvd(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__1(X0) ),
    inference(cnf_transformation,[],[f2329]) ).

fof(f2329,plain,
    ! [X0] :
      ( class_Rings_Odvd(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__1(X0) ),
    inference(ennf_transformation,[],[f1301]) ).

fof(f1301,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__1(X0)
     => class_Rings_Odvd(tc_Polynomial_Opoly(X0)) ),
    inference(rectify,[],[f1175]) ).

fof(f1175,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Rings_Odvd(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6790,plain,
    ( ~ class_Rings_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | spl26_37 ),
    inference(avatar_component_clause,[],[f6788]) ).

fof(f6211,plain,
    ( spl26_27
    | ~ spl26_26 ),
    inference(avatar_split_clause,[],[f6204,f6200,f6208]) ).

fof(f6200,plain,
    ( spl26_26
  <=> ! [X0] : v_p = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).

fof(f6204,plain,
    ( v_p = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | ~ spl26_26 ),
    inference(backward_demodulation,[],[f5596,f6201]) ).

fof(f6201,plain,
    ( ! [X0] : v_p = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X0)
    | ~ spl26_26 ),
    inference(avatar_component_clause,[],[f6200]) ).

fof(f5596,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(backward_demodulation,[],[f3519,f5595]) ).

fof(f5595,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),
    inference(forward_demodulation,[],[f5591,f3510]) ).

fof(f3510,plain,
    v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5591,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
    inference(resolution,[],[f3631,f3500]) ).

fof(f3500,plain,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1120]) ).

fof(f1120,axiom,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3631,plain,
    ! [X0] :
      ( ~ class_Groups_Ozero(X0)
      | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
    inference(cnf_transformation,[],[f2318]) ).

fof(f2318,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
      | ~ class_Groups_Ozero(X0) ),
    inference(ennf_transformation,[],[f1290]) ).

fof(f1290,plain,
    ! [X0] :
      ( class_Groups_Ozero(X0)
     => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
    inference(rectify,[],[f67]) ).

fof(f67,axiom,
    ! [X4] :
      ( class_Groups_Ozero(X4)
     => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3519,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6202,plain,
    ( spl26_26
    | ~ spl26_7
    | ~ spl26_22 ),
    inference(avatar_split_clause,[],[f6198,f5909,f5365,f6200]) ).

fof(f6198,plain,
    ( ! [X0] : v_p = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X0)
    | ~ spl26_7
    | ~ spl26_22 ),
    inference(subsumption_resolution,[],[f6184,f5366]) ).

fof(f6184,plain,
    ( ! [X0] :
        ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
        | v_p = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X0) )
    | ~ spl26_22 ),
    inference(resolution,[],[f4364,f5910]) ).

fof(f4364,plain,
    ! [X2,X0,X1] :
      ( c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
      | ~ class_Rings_Ocomm__semiring__1(X2) ),
    inference(cnf_transformation,[],[f2879]) ).

fof(f2879,plain,
    ! [X0,X1,X2] :
      ( c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
      | ~ class_Rings_Ocomm__semiring__1(X2) ),
    inference(ennf_transformation,[],[f1858]) ).

fof(f1858,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Ocomm__semiring__1(X2)
     => c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) ),
    inference(rectify,[],[f150]) ).

fof(f150,axiom,
    ! [X24,X16,X4] :
      ( class_Rings_Ocomm__semiring__1(X4)
     => c_Rings_Odvd__class_Odvd(X4,X16,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X16),X24)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5911,plain,
    ( spl26_22
    | ~ spl26_7 ),
    inference(avatar_split_clause,[],[f5907,f5365,f5909]) ).

fof(f5907,plain,
    ( ! [X0] :
        ( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
        | v_p = X0 )
    | ~ spl26_7 ),
    inference(subsumption_resolution,[],[f5903,f5366]) ).

fof(f5903,plain,
    ! [X0] :
      ( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
      | ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | v_p = X0 ),
    inference(superposition,[],[f3893,f3510]) ).

fof(f3893,plain,
    ! [X0,X1] :
      ( ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
      | ~ class_Rings_Ocomm__semiring__1(X1)
      | c_Groups_Ozero__class_Ozero(X1) = X0 ),
    inference(cnf_transformation,[],[f2501]) ).

fof(f2501,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(X1) = X0
      | ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
      | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(flattening,[],[f2500]) ).

fof(f2500,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(X1) = X0
      | ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
      | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(ennf_transformation,[],[f1509]) ).

fof(f1509,plain,
    ! [X0,X1] :
      ( class_Rings_Ocomm__semiring__1(X1)
     => ( c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
       => c_Groups_Ozero__class_Ozero(X1) = X0 ) ),
    inference(rectify,[],[f141]) ).

fof(f141,axiom,
    ! [X16,X4] :
      ( class_Rings_Ocomm__semiring__1(X4)
     => ( c_Rings_Odvd__class_Odvd(X4,c_Groups_Ozero__class_Ozero(X4),X16)
       => c_Groups_Ozero__class_Ozero(X4) = X16 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5894,plain,
    ( spl26_21
    | ~ spl26_7 ),
    inference(avatar_split_clause,[],[f5888,f5365,f5892]) ).

fof(f5888,plain,
    ( ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0) = X0
    | ~ spl26_7 ),
    inference(resolution,[],[f3885,f5366]) ).

fof(f3885,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0 ),
    inference(cnf_transformation,[],[f2493]) ).

fof(f2493,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0
      | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(ennf_transformation,[],[f1502]) ).

fof(f1502,plain,
    ! [X0,X1] :
      ( class_Rings_Ocomm__semiring__1(X1)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0 ),
    inference(rectify,[],[f238]) ).

fof(f238,axiom,
    ! [X16,X4] :
      ( class_Rings_Ocomm__semiring__1(X4)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),c_Groups_Oone__class_Oone(X4)),X16) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5374,plain,
    spl26_7,
    inference(avatar_contradiction_clause,[],[f5373]) ).

fof(f5373,plain,
    ( $false
    | spl26_7 ),
    inference(subsumption_resolution,[],[f5372,f3506]) ).

fof(f5372,plain,
    ( ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
    | spl26_7 ),
    inference(resolution,[],[f5367,f3645]) ).

fof(f3645,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__1(X0) ),
    inference(cnf_transformation,[],[f2332]) ).

fof(f2332,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__1(X0) ),
    inference(ennf_transformation,[],[f1304]) ).

fof(f1304,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__1(X0)
     => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
    inference(rectify,[],[f1151]) ).

fof(f1151,axiom,
    ! [X88] :
      ( class_Rings_Ocomm__semiring__1(X88)
     => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X88)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5367,plain,
    ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | spl26_7 ),
    inference(avatar_component_clause,[],[f5365]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWW285+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.14  % Command    : run_vampire %s %d THM
% 0.14/0.38  % Computer : n022.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Wed Jun 19 07:12:39 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.14/0.40  This is a FOF_CAX_RFO_SEQ problem
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.49  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.49  % (29167)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.25/0.49  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.49  % (29173)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.25/0.49  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.49  % (29169)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.25/0.50  % (29173)Refutation not found, incomplete strategy% (29173)------------------------------
% 0.25/0.50  % (29173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.50  % (29173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.50  % (29173)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.50  
% 0.25/0.50  % (29173)Memory used [KB]: 1909
% 0.25/0.50  % (29173)Time elapsed: 0.004 s
% 0.25/0.50  % (29173)Instructions burned: 9 (million)
% 0.25/0.50  % (29173)------------------------------
% 0.25/0.50  % (29173)------------------------------
% 0.25/0.52  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.52  % (29168)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.25/0.52  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.52  % (29171)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.25/0.52  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.52  % (29172)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.25/0.52  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.52  % (29170)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.25/0.52  % (29172)Refutation not found, incomplete strategy% (29172)------------------------------
% 0.25/0.52  % (29172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.52  % (29172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.52  % (29172)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.52  % (29171)Refutation not found, incomplete strategy% (29171)------------------------------
% 0.25/0.52  % (29171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.52  
% 0.25/0.52  % (29172)Memory used [KB]: 1893
% 0.25/0.52  % (29171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.52  % (29172)Time elapsed: 0.006 s
% 0.25/0.52  % (29172)Instructions burned: 6 (million)
% 0.25/0.52  % (29171)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.52  
% 0.25/0.52  % (29171)Memory used [KB]: 1893
% 0.25/0.52  % (29171)Time elapsed: 0.006 s
% 0.25/0.52  % (29171)Instructions burned: 6 (million)
% 0.25/0.52  % (29172)------------------------------
% 0.25/0.52  % (29172)------------------------------
% 0.25/0.52  % (29171)------------------------------
% 0.25/0.52  % (29171)------------------------------
% 0.25/0.53  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.53  % (29199)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2999ds/125Mi)
% 0.25/0.53  % (29199)Refutation not found, incomplete strategy% (29199)------------------------------
% 0.25/0.53  % (29199)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.53  % (29199)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.53  % (29199)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.53  
% 0.25/0.53  % (29199)Memory used [KB]: 1893
% 0.25/0.53  % (29199)Time elapsed: 0.003 s
% 0.25/0.53  % (29199)Instructions burned: 8 (million)
% 0.25/0.53  % (29199)------------------------------
% 0.25/0.53  % (29199)------------------------------
% 0.25/0.57  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.57  % (29217)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2999ds/402Mi)
% 0.25/0.58  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.58  % (29223)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2999ds/267Mi)
% 0.25/0.58  % (29139)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.58  % (29218)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2999ds/325Mi)
% 0.25/0.58  % (29223)Refutation not found, incomplete strategy% (29223)------------------------------
% 0.25/0.58  % (29223)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.58  % (29223)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.58  % (29223)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.58  
% 0.25/0.58  % (29223)Memory used [KB]: 1893
% 0.25/0.58  % (29223)Time elapsed: 0.005 s
% 0.25/0.58  % (29223)Instructions burned: 6 (million)
% 0.25/0.58  % (29223)------------------------------
% 0.25/0.58  % (29223)------------------------------
% 0.25/0.58  % (29218)Refutation not found, incomplete strategy% (29218)------------------------------
% 0.25/0.58  % (29218)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.58  % (29218)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.58  % (29218)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.58  
% 0.25/0.58  % (29218)Memory used [KB]: 1893
% 0.25/0.58  % (29218)Time elapsed: 0.005 s
% 0.25/0.58  % (29218)Instructions burned: 6 (million)
% 0.25/0.58  % (29218)------------------------------
% 0.25/0.58  % (29218)------------------------------
% 1.19/0.61  % (29217)Refutation not found, incomplete strategy% (29217)------------------------------
% 1.19/0.61  % (29217)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.19/0.61  % (29217)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.19/0.61  % (29217)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.61  
% 1.19/0.61  % (29217)Memory used [KB]: 4432
% 1.19/0.61  % (29217)Time elapsed: 0.035 s
% 1.19/0.61  % (29217)Instructions burned: 115 (million)
% 1.19/0.61  % (29217)------------------------------
% 1.19/0.61  % (29217)------------------------------
% 1.33/0.62  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.62  % (29245)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2998ds/156Mi)
% 1.33/0.62  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.62  % (29246)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2998ds/200Mi)
% 1.33/0.62  % (29245)Refutation not found, incomplete strategy% (29245)------------------------------
% 1.33/0.62  % (29245)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.62  % (29245)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.62  % (29245)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.62  
% 1.33/0.62  % (29245)Memory used [KB]: 1893
% 1.33/0.62  % (29245)Time elapsed: 0.003 s
% 1.33/0.62  % (29245)Instructions burned: 6 (million)
% 1.33/0.62  % (29245)------------------------------
% 1.33/0.62  % (29245)------------------------------
% 1.33/0.62  % (29246)Refutation not found, incomplete strategy% (29246)------------------------------
% 1.33/0.62  % (29246)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.62  % (29246)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.62  % (29246)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.62  
% 1.33/0.62  % (29246)Memory used [KB]: 1893
% 1.33/0.62  % (29246)Time elapsed: 0.004 s
% 1.33/0.62  % (29246)Instructions burned: 9 (million)
% 1.33/0.62  % (29246)------------------------------
% 1.33/0.62  % (29246)------------------------------
% 1.41/0.64  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.41/0.64  % (29254)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2998ds/203Mi)
% 1.41/0.64  % (29254)Refutation not found, incomplete strategy% (29254)------------------------------
% 1.41/0.64  % (29254)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.41/0.64  % (29254)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.41/0.64  % (29254)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.64  
% 1.41/0.64  % (29254)Memory used [KB]: 1893
% 1.41/0.64  % (29254)Time elapsed: 0.004 s
% 1.41/0.64  % (29254)Instructions burned: 6 (million)
% 1.41/0.64  % (29254)------------------------------
% 1.41/0.64  % (29254)------------------------------
% 1.41/0.66  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.41/0.66  % (29260)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2998ds/1027Mi)
% 1.41/0.66  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.41/0.66  % (29261)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2998ds/316Mi)
% 1.41/0.66  % (29261)Refutation not found, incomplete strategy% (29261)------------------------------
% 1.41/0.66  % (29261)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.41/0.66  % (29261)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.41/0.66  % (29261)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.66  
% 1.41/0.66  % (29261)Memory used [KB]: 1894
% 1.41/0.66  % (29261)Time elapsed: 0.004 s
% 1.41/0.66  % (29261)Instructions burned: 6 (million)
% 1.41/0.66  % (29261)------------------------------
% 1.41/0.66  % (29261)------------------------------
% 1.41/0.68  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.41/0.68  % (29262)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2998ds/426Mi)
% 1.41/0.69  % (29260)Refutation not found, incomplete strategy% (29260)------------------------------
% 1.41/0.69  % (29260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.41/0.69  % (29260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.41/0.69  % (29260)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.69  
% 1.41/0.69  % (29260)Memory used [KB]: 4312
% 1.41/0.69  % (29260)Time elapsed: 0.032 s
% 1.41/0.69  % (29260)Instructions burned: 115 (million)
% 1.41/0.69  % (29260)------------------------------
% 1.41/0.69  % (29260)------------------------------
% 1.41/0.69  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.41/0.69  % (29265)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2997ds/260Mi)
% 1.41/0.70  % (29265)Refutation not found, incomplete strategy% (29265)------------------------------
% 1.41/0.70  % (29265)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.41/0.70  % (29265)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.41/0.70  % (29265)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.70  
% 1.41/0.70  % (29265)Memory used [KB]: 1893
% 1.41/0.70  % (29265)Time elapsed: 0.005 s
% 1.41/0.70  % (29265)Instructions burned: 11 (million)
% 1.41/0.70  % (29265)------------------------------
% 1.41/0.70  % (29265)------------------------------
% 1.41/0.70  % (29167)First to succeed.
% 1.41/0.70  % (29167)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29139"
% 1.41/0.70  % (29139)Running in auto input_syntax mode. Trying TPTP
% 1.41/0.70  % (29167)Refutation found. Thanks to Tanya!
% 1.41/0.70  % SZS status Theorem for theBenchmark
% 1.41/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.70  % (29167)------------------------------
% 1.41/0.70  % (29167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.41/0.70  % (29167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.41/0.70  % (29167)Termination reason: Refutation
% 1.41/0.70  
% 1.41/0.70  % (29167)Memory used [KB]: 7691
% 1.41/0.70  % (29167)Time elapsed: 0.211 s
% 1.41/0.70  % (29167)Instructions burned: 546 (million)
% 1.41/0.70  % (29167)------------------------------
% 1.41/0.70  % (29167)------------------------------
% 1.41/0.70  % (29139)Success in time 0.258 s
%------------------------------------------------------------------------------