TSTP Solution File: SWW282+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW282+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n004.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 18:31:52 EDT 2024

% Result   : Theorem 37.48s 5.95s
% Output   : Refutation 37.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  109 (  26 unt;   0 def)
%            Number of atoms       :  233 ( 127 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  254 ( 130   ~;  84   |;  13   &)
%                                         (   5 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;   8 con; 0-3 aty)
%            Number of variables   :  184 ( 184   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5937,plain,
    $false,
    inference(subsumption_resolution,[],[f5917,f2482]) ).

fof(f2482,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5917,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____),
    inference(resolution,[],[f5884,f2571]) ).

fof(f2571,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
    inference(cnf_transformation,[],[f2260]) ).

fof(f2260,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ) ),
    inference(flattening,[],[f2259]) ).

fof(f2259,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ) ),
    inference(nnf_transformation,[],[f1321]) ).

fof(f1321,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
    <=> ( X0 != X1
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
    inference(rectify,[],[f268]) ).

fof(f268,axiom,
    ! [X15,X24] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X24,X15)
    <=> ( X15 != X24
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X24,X15) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5884,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____),
    inference(trivial_inequality_removal,[],[f5836]) ).

fof(f5836,plain,
    ( hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____) ),
    inference(superposition,[],[f5832,f2755]) ).

fof(f2755,plain,
    ! [X0,X1] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
    inference(cnf_transformation,[],[f1917]) ).

fof(f1917,plain,
    ! [X0,X1] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
    inference(ennf_transformation,[],[f1448]) ).

fof(f1448,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0 ),
    inference(rectify,[],[f889]) ).

fof(f889,axiom,
    ! [X11,X6] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X11)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X6,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X11,X6)) = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5832,plain,
    hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),
    inference(subsumption_resolution,[],[f5831,f2448]) ).

fof(f2448,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1125]) ).

fof(f1125,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5831,plain,
    ( hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
    | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f5762,f2808]) ).

fof(f2808,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__1(X0) ),
    inference(cnf_transformation,[],[f1969]) ).

fof(f1969,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__1(X0) ),
    inference(ennf_transformation,[],[f1501]) ).

fof(f1501,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__1(X0)
     => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
    inference(rectify,[],[f1179]) ).

fof(f1179,axiom,
    ! [X92] :
      ( class_Rings_Ocomm__semiring__1(X92)
     => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X92)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5762,plain,
    ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) ),
    inference(superposition,[],[f5691,f2497]) ).

fof(f2497,plain,
    ! [X2,X3,X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))
      | ~ class_Rings_Ocomm__semiring__1(X3) ),
    inference(cnf_transformation,[],[f1782]) ).

fof(f1782,plain,
    ! [X0,X1,X2,X3] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))
      | ~ class_Rings_Ocomm__semiring__1(X3) ),
    inference(ennf_transformation,[],[f1268]) ).

fof(f1268,plain,
    ! [X0,X1,X2,X3] :
      ( class_Rings_Ocomm__semiring__1(X3)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
    inference(rectify,[],[f864]) ).

fof(f864,axiom,
    ! [X19,X14,X18,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),hAPP(hAPP(c_Power_Opower__class_Opower(X7),X18),X14)),hAPP(hAPP(c_Power_Opower__class_Opower(X7),X18),X19)) = hAPP(hAPP(c_Power_Opower__class_Opower(X7),X18),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X19)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5691,plain,
    hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),
    inference(superposition,[],[f5690,f2535]) ).

fof(f2535,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5690,plain,
    hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),
    inference(subsumption_resolution,[],[f5689,f2448]) ).

fof(f5689,plain,
    ( hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
    | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f5667,f2808]) ).

fof(f5667,plain,
    ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) ),
    inference(superposition,[],[f5621,f3131]) ).

fof(f3131,plain,
    ! [X2,X3,X0,X1] :
      ( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Omonom(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X1))
      | ~ class_Rings_Ocomm__semiring__1(X3) ),
    inference(cnf_transformation,[],[f2184]) ).

fof(f2184,plain,
    ! [X0,X1,X2,X3] :
      ( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Omonom(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X1))
      | ~ class_Rings_Ocomm__semiring__1(X3) ),
    inference(ennf_transformation,[],[f1716]) ).

fof(f1716,plain,
    ! [X0,X1,X2,X3] :
      ( class_Rings_Ocomm__semiring__1(X3)
     => hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Omonom(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X1)) ),
    inference(rectify,[],[f617]) ).

fof(f617,axiom,
    ! [X18,X6,X3,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Polynomial_Omonom(X7,X3,X6)),X18) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X7),X18),X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5621,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),
    inference(subsumption_resolution,[],[f5620,f2448]) ).

fof(f5620,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
    | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f5597,f2808]) ).

fof(f5597,plain,
    ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) ),
    inference(superposition,[],[f5531,f2793]) ).

fof(f2793,plain,
    ! [X2,X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1)
      | ~ class_Rings_Ocomm__semiring__1(X2) ),
    inference(cnf_transformation,[],[f1953]) ).

fof(f1953,plain,
    ! [X0,X1,X2] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1)
      | ~ class_Rings_Ocomm__semiring__1(X2) ),
    inference(ennf_transformation,[],[f1486]) ).

fof(f1486,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Ocomm__semiring__1(X2)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1) ),
    inference(rectify,[],[f395]) ).

fof(f395,axiom,
    ! [X13,X3,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X3),X13) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X13),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5531,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),
    inference(subsumption_resolution,[],[f5481,f2481]) ).

fof(f2481,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5481,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),v_na____)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____) ),
    inference(superposition,[],[f5469,f2755]) ).

fof(f5469,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),
    inference(subsumption_resolution,[],[f5453,f2816]) ).

fof(f2816,plain,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1145]) ).

fof(f1145,axiom,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5453,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
    | ~ class_Groups_Ozero(tc_Complex_Ocomplex) ),
    inference(trivial_inequality_removal,[],[f5450]) ).

fof(f5450,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
    | ~ class_Groups_Ozero(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f5411,f2688]) ).

fof(f2688,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
      | ~ class_Groups_Ozero(X0) ),
    inference(cnf_transformation,[],[f1868]) ).

fof(f1868,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
      | ~ class_Groups_Ozero(X0) ),
    inference(ennf_transformation,[],[f1397]) ).

fof(f1397,plain,
    ! [X0] :
      ( class_Groups_Ozero(X0)
     => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
    inference(rectify,[],[f69]) ).

fof(f69,axiom,
    ! [X7] :
      ( class_Groups_Ozero(X7)
     => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) = c_Polynomial_OpCons(X7,c_Groups_Ozero__class_Ozero(X7),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5411,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))) ),
    inference(subsumption_resolution,[],[f5410,f3075]) ).

fof(f3075,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1126]) ).

fof(f1126,axiom,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5410,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)))
      | ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f5394,f3072]) ).

fof(f3072,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__0(X0) ),
    inference(cnf_transformation,[],[f2138]) ).

fof(f2138,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
      | ~ class_Rings_Ocomm__semiring__0(X0) ),
    inference(ennf_transformation,[],[f1676]) ).

fof(f1676,plain,
    ! [X0] :
      ( class_Rings_Ocomm__semiring__0(X0)
     => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0)) ),
    inference(rectify,[],[f1180]) ).

fof(f1180,axiom,
    ! [X92] :
      ( class_Rings_Ocomm__semiring__0(X92)
     => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X92)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5394,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))) ),
    inference(superposition,[],[f5386,f3130]) ).

fof(f3130,plain,
    ! [X2,X3,X0,X1,X4] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4)),c_Polynomial_Omonom(X4,X3,X2)),c_Polynomial_Omonom(X4,X1,X0)) = c_Polynomial_Omonom(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0))
      | ~ class_Rings_Ocomm__semiring__0(X4) ),
    inference(cnf_transformation,[],[f2183]) ).

fof(f2183,plain,
    ! [X0,X1,X2,X3,X4] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4)),c_Polynomial_Omonom(X4,X3,X2)),c_Polynomial_Omonom(X4,X1,X0)) = c_Polynomial_Omonom(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0))
      | ~ class_Rings_Ocomm__semiring__0(X4) ),
    inference(ennf_transformation,[],[f1715]) ).

fof(f1715,plain,
    ! [X0,X1,X2,X3,X4] :
      ( class_Rings_Ocomm__semiring__0(X4)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4)),c_Polynomial_Omonom(X4,X3,X2)),c_Polynomial_Omonom(X4,X1,X0)) = c_Polynomial_Omonom(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0)) ),
    inference(rectify,[],[f917]) ).

fof(f917,axiom,
    ! [X6,X13,X11,X3,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),c_Polynomial_Omonom(X7,X3,X11)),c_Polynomial_Omonom(X7,X13,X6)) = c_Polynomial_Omonom(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X3),X13),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5386,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1) ),
    inference(subsumption_resolution,[],[f5385,f3075]) ).

fof(f5385,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)))
      | ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f5378,f3072]) ).

fof(f5378,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))) ),
    inference(superposition,[],[f5358,f2984]) ).

fof(f2984,plain,
    ! [X2,X3,X0,X1] :
      ( hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0))
      | ~ class_Rings_Ocomm__semiring__0(X3) ),
    inference(cnf_transformation,[],[f2066]) ).

fof(f2066,plain,
    ! [X0,X1,X2,X3] :
      ( hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0))
      | ~ class_Rings_Ocomm__semiring__0(X3) ),
    inference(ennf_transformation,[],[f1609]) ).

fof(f1609,plain,
    ! [X0,X1,X2,X3] :
      ( class_Rings_Ocomm__semiring__0(X3)
     => hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
    inference(rectify,[],[f188]) ).

fof(f188,axiom,
    ! [X18,X19,X14,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(c_Polynomial_Opoly(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X14),X19)),X18) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),hAPP(c_Polynomial_Opoly(X7,X14),X18)),hAPP(c_Polynomial_Opoly(X7,X19),X18)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5358,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)))),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1) ),
    inference(subsumption_resolution,[],[f5357,f2448]) ).

fof(f5357,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)))),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))))
      | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f5331,f2808]) ).

fof(f5331,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0)))),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0)))) ),
    inference(superposition,[],[f5327,f3131]) ).

fof(f5327,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1) ),
    inference(subsumption_resolution,[],[f5326,f2448]) ).

fof(f5326,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))))
      | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f4467,f2808]) ).

fof(f4467,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0)))) ),
    inference(superposition,[],[f4446,f2783]) ).

fof(f2783,plain,
    ! [X2,X3,X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)),X1)
      | ~ class_Rings_Ocomm__semiring__1(X3) ),
    inference(cnf_transformation,[],[f1943]) ).

fof(f1943,plain,
    ! [X0,X1,X2,X3] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)),X1)
      | ~ class_Rings_Ocomm__semiring__1(X3) ),
    inference(ennf_transformation,[],[f1476]) ).

fof(f1476,plain,
    ! [X0,X1,X2,X3] :
      ( class_Rings_Ocomm__semiring__1(X3)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)),X1) ),
    inference(rectify,[],[f399]) ).

fof(f399,axiom,
    ! [X47,X49,X48,X7] :
      ( class_Rings_Ocomm__semiring__1(X7)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X48),X49)),X47) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X48),X47)),X49) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4446,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1) ),
    inference(subsumption_resolution,[],[f4445,f2448]) ).

fof(f4445,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))
      | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f4008,f2808]) ).

fof(f4008,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))) ),
    inference(superposition,[],[f3988,f2793]) ).

fof(f3988,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)))))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1) ),
    inference(subsumption_resolution,[],[f3987,f2448]) ).

fof(f3987,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,X1)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)))))
      | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f3942,f2808]) ).

fof(f3942,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))))) ),
    inference(superposition,[],[f3768,f3131]) ).

fof(f3768,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0) ),
    inference(subsumption_resolution,[],[f3715,f2816]) ).

fof(f3715,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X0))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))))
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X0)
      | ~ class_Groups_Ozero(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f3704,f2683]) ).

fof(f2683,plain,
    ! [X2,X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_OpCons(X2,X1,X0)
      | ~ class_Groups_Ozero(X2) ),
    inference(cnf_transformation,[],[f2296]) ).

fof(f2296,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,X1,X0)
          | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0
          | c_Groups_Ozero__class_Ozero(X2) != X1 )
        & ( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
            & c_Groups_Ozero__class_Ozero(X2) = X1 )
          | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_OpCons(X2,X1,X0) ) )
      | ~ class_Groups_Ozero(X2) ),
    inference(flattening,[],[f2295]) ).

fof(f2295,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,X1,X0)
          | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0
          | c_Groups_Ozero__class_Ozero(X2) != X1 )
        & ( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
            & c_Groups_Ozero__class_Ozero(X2) = X1 )
          | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_OpCons(X2,X1,X0) ) )
      | ~ class_Groups_Ozero(X2) ),
    inference(nnf_transformation,[],[f1864]) ).

fof(f1864,plain,
    ! [X0,X1,X2] :
      ( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,X1,X0)
      <=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
          & c_Groups_Ozero__class_Ozero(X2) = X1 ) )
      | ~ class_Groups_Ozero(X2) ),
    inference(ennf_transformation,[],[f1393]) ).

fof(f1393,plain,
    ! [X0,X1,X2] :
      ( class_Groups_Ozero(X2)
     => ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,X1,X0)
      <=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
          & c_Groups_Ozero__class_Ozero(X2) = X1 ) ) ),
    inference(rectify,[],[f68]) ).

fof(f68,axiom,
    ! [X21,X22,X7] :
      ( class_Groups_Ozero(X7)
     => ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) = c_Polynomial_OpCons(X7,X22,X21)
      <=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) = X21
          & c_Groups_Ozero__class_Ozero(X7) = X22 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3704,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))))),
    inference(subsumption_resolution,[],[f3703,f2448]) ).

fof(f3703,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))))
    | ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(resolution,[],[f3465,f2808]) ).

fof(f3465,plain,
    ( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))))) ),
    inference(superposition,[],[f2402,f2793]) ).

fof(f2402,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))))),
    inference(cnf_transformation,[],[f1216]) ).

fof(f1216,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))))),
    inference(flattening,[],[f1215]) ).

fof(f1215,negated_conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))))),
    inference(negated_conjecture,[],[f1214]) ).

fof(f1214,conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),v_na____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SWW282+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14  % Command    : run_vampire %s %d THM
% 0.13/0.37  % Computer : n004.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Wed Jun 19 09:33:39 EDT 2024
% 0.13/0.37  % CPUTime    : 
% 0.13/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51  % (17396)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.25/0.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51  % (17398)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)
% 0.25/0.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51  % (17401)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.25/0.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51  % (17397)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)
% 0.25/0.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51  % (17399)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.25/0.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51  % (17400)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.25/0.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.51  % (17402)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)
% 0.25/0.53  % (17400)Refutation not found, incomplete strategy% (17400)------------------------------
% 0.25/0.53  % (17400)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.53  % (17400)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.53  % (17400)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.53  
% 0.25/0.53  % (17400)Memory used [KB]: 2373
% 0.25/0.53  % (17400)Time elapsed: 0.020 s
% 0.25/0.53  % (17400)Instructions burned: 35 (million)
% 0.25/0.53  % (17400)------------------------------
% 0.25/0.53  % (17400)------------------------------
% 1.13/0.59  % (17395)Running in auto input_syntax mode. Trying TPTP
% 1.13/0.59  % (17403)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)
% 1.13/0.63  % (17402)Instruction limit reached!
% 1.13/0.63  % (17402)------------------------------
% 1.13/0.63  % (17402)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.13/0.63  % (17402)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.13/0.63  % (17402)Termination reason: Time limit
% 1.13/0.63  % (17402)Termination phase: Saturation
% 1.13/0.63  
% 1.13/0.63  % (17402)Memory used [KB]: 4828
% 1.13/0.63  % (17402)Time elapsed: 0.121 s
% 1.13/0.63  % (17402)Instructions burned: 282 (million)
% 1.53/0.65  % (17403)Instruction limit reached!
% 1.53/0.65  % (17403)------------------------------
% 1.53/0.65  % (17403)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.65  % (17403)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.65  % (17403)Termination reason: Time limit
% 1.53/0.65  % (17403)Termination phase: Saturation
% 1.53/0.65  
% 1.53/0.65  % (17403)Memory used [KB]: 3696
% 1.53/0.65  % (17403)Time elapsed: 0.058 s
% 1.53/0.65  % (17403)Instructions burned: 128 (million)
% 1.63/0.67  % (17401)Instruction limit reached!
% 1.63/0.67  % (17401)------------------------------
% 1.63/0.67  % (17401)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.63/0.67  % (17401)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.63/0.67  % (17401)Termination reason: Time limit
% 1.63/0.67  % (17401)Termination phase: Saturation
% 1.63/0.67  
% 1.63/0.67  % (17401)Memory used [KB]: 5952
% 1.63/0.67  % (17401)Time elapsed: 0.166 s
% 1.63/0.67  % (17401)Instructions burned: 347 (million)
% 1.63/0.68  % (17395)Running in auto input_syntax mode. Trying TPTP
% 1.63/0.68  % (17405)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 (2998ds/325Mi)
% 1.63/0.69  % (17395)Running in auto input_syntax mode. Trying TPTP
% 1.63/0.69  % (17404)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.63/0.71  % (17395)Running in auto input_syntax mode. Trying TPTP
% 1.63/0.71  % (17406)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 (2997ds/267Mi)
% 2.06/0.78  % (17406)Instruction limit reached!
% 2.06/0.78  % (17406)------------------------------
% 2.06/0.78  % (17406)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.78  % (17406)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.78  % (17406)Termination reason: Time limit
% 2.06/0.78  % (17406)Termination phase: Saturation
% 2.06/0.78  
% 2.06/0.78  % (17406)Memory used [KB]: 3064
% 2.06/0.78  % (17406)Time elapsed: 0.077 s
% 2.06/0.78  % (17406)Instructions burned: 267 (million)
% 2.06/0.80  % (17405)Instruction limit reached!
% 2.06/0.80  % (17405)------------------------------
% 2.06/0.80  % (17405)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.80  % (17405)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.80  % (17405)Termination reason: Time limit
% 2.06/0.80  % (17405)Termination phase: Saturation
% 2.06/0.80  
% 2.06/0.80  % (17405)Memory used [KB]: 3925
% 2.06/0.80  % (17405)Time elapsed: 0.117 s
% 2.06/0.80  % (17405)Instructions burned: 326 (million)
% 2.06/0.83  % (17395)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.83  % (17408)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 (2996ds/200Mi)
% 2.06/0.84  % (17395)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.84  % (17407)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 (2996ds/156Mi)
% 2.66/0.85  % (17407)Refutation not found, incomplete strategy% (17407)------------------------------
% 2.66/0.85  % (17407)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.85  % (17407)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.85  % (17407)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.85  
% 2.66/0.85  % (17407)Memory used [KB]: 2663
% 2.66/0.85  % (17407)Time elapsed: 0.012 s
% 2.66/0.85  % (17407)Instructions burned: 42 (million)
% 2.66/0.85  % (17407)------------------------------
% 2.66/0.85  % (17407)------------------------------
% 2.66/0.87  % (17404)Instruction limit reached!
% 2.66/0.87  % (17404)------------------------------
% 2.66/0.87  % (17404)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.87  % (17404)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.87  % (17404)Termination reason: Time limit
% 2.66/0.87  % (17404)Termination phase: Saturation
% 2.66/0.87  
% 2.66/0.87  % (17404)Memory used [KB]: 6464
% 2.66/0.87  % (17404)Time elapsed: 0.188 s
% 2.66/0.87  % (17404)Instructions burned: 402 (million)
% 2.66/0.88  % (17395)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.88  % (17409)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 (2996ds/203Mi)
% 3.13/0.92  % (17408)Instruction limit reached!
% 3.13/0.92  % (17408)------------------------------
% 3.13/0.92  % (17408)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.13/0.92  % (17408)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.13/0.92  % (17408)Termination reason: Time limit
% 3.13/0.92  % (17408)Termination phase: Saturation
% 3.13/0.92  
% 3.13/0.92  % (17408)Memory used [KB]: 3691
% 3.13/0.92  % (17408)Time elapsed: 0.090 s
% 3.13/0.92  % (17408)Instructions burned: 201 (million)
% 3.13/0.93  % (17395)Running in auto input_syntax mode. Trying TPTP
% 3.13/0.93  % (17410)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 (2995ds/1027Mi)
% 3.53/0.97  % (17409)Instruction limit reached!
% 3.53/0.97  % (17409)------------------------------
% 3.53/0.97  % (17409)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.53/0.97  % (17409)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.53/0.97  % (17409)Termination reason: Time limit
% 3.53/0.97  % (17409)Termination phase: Saturation
% 3.53/0.97  
% 3.53/0.97  % (17409)Memory used [KB]: 3635
% 3.53/0.97  % (17409)Time elapsed: 0.087 s
% 3.53/0.97  % (17409)Instructions burned: 204 (million)
% 3.53/0.97  % (17395)Running in auto input_syntax mode. Trying TPTP
% 3.53/0.97  % (17411)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 (2995ds/316Mi)
% 3.53/1.01  % (17411)Refutation not found, incomplete strategy% (17411)------------------------------
% 3.53/1.01  % (17411)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.53/1.01  % (17411)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.53/1.01  % (17411)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.01  
% 3.53/1.01  % (17411)Memory used [KB]: 3077
% 3.53/1.01  % (17411)Time elapsed: 0.033 s
% 3.53/1.01  % (17411)Instructions burned: 65 (million)
% 3.53/1.01  % (17411)------------------------------
% 3.53/1.01  % (17411)------------------------------
% 3.94/1.02  % (17395)Running in auto input_syntax mode. Trying TPTP
% 3.94/1.02  % (17412)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 (2994ds/426Mi)
% 3.94/1.06  % (17395)Running in auto input_syntax mode. Trying TPTP
% 3.94/1.06  % (17413)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 (2994ds/260Mi)
% 4.46/1.14  % (17412)Instruction limit reached!
% 4.46/1.14  % (17412)------------------------------
% 4.46/1.14  % (17412)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.46/1.14  % (17412)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.46/1.14  % (17412)Termination reason: Time limit
% 4.46/1.14  % (17412)Termination phase: Saturation
% 4.46/1.14  
% 4.46/1.14  % (17412)Memory used [KB]: 7090
% 4.46/1.14  % (17412)Time elapsed: 0.149 s
% 4.46/1.14  % (17412)Instructions burned: 428 (million)
% 5.07/1.17  % (17395)Running in auto input_syntax mode. Trying TPTP
% 5.07/1.17  % (17414)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2993ds/160Mi)
% 5.33/1.20  % (17413)Instruction limit reached!
% 5.33/1.20  % (17413)------------------------------
% 5.33/1.20  % (17413)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.33/1.20  % (17413)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.33/1.20  % (17413)Termination reason: Time limit
% 5.33/1.20  % (17413)Termination phase: Saturation
% 5.33/1.20  
% 5.33/1.20  % (17413)Memory used [KB]: 4002
% 5.33/1.20  % (17413)Time elapsed: 0.163 s
% 5.33/1.20  % (17413)Instructions burned: 261 (million)
% 5.33/1.22  % (17414)Instruction limit reached!
% 5.33/1.22  % (17414)------------------------------
% 5.33/1.22  % (17414)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.33/1.22  % (17414)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.33/1.22  % (17414)Termination reason: Time limit
% 5.33/1.22  % (17414)Termination phase: Saturation
% 5.33/1.22  
% 5.33/1.22  % (17414)Memory used [KB]: 3680
% 5.33/1.22  % (17414)Time elapsed: 0.051 s
% 5.33/1.22  % (17414)Instructions burned: 163 (million)
% 5.61/1.25  % (17395)Running in auto input_syntax mode. Trying TPTP
% 5.61/1.25  % (17416)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2992ds/2185Mi)
% 5.61/1.26  % (17395)Running in auto input_syntax mode. Trying TPTP
% 5.61/1.26  % (17415)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2992ds/462Mi)
% 6.09/1.39  % (17410)Instruction limit reached!
% 6.09/1.39  % (17410)------------------------------
% 6.09/1.39  % (17410)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.09/1.39  % (17410)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.09/1.39  % (17410)Termination reason: Time limit
% 6.09/1.39  % (17410)Termination phase: Saturation
% 6.09/1.39  
% 6.09/1.39  % (17410)Memory used [KB]: 8922
% 6.09/1.39  % (17410)Time elapsed: 0.461 s
% 6.09/1.39  % (17410)Instructions burned: 1027 (million)
% 6.37/1.45  % (17395)Running in auto input_syntax mode. Trying TPTP
% 6.37/1.45  % (17417)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2990ds/308Mi)
% 6.66/1.49  % (17415)Instruction limit reached!
% 6.66/1.49  % (17415)------------------------------
% 6.66/1.49  % (17415)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.66/1.49  % (17415)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.66/1.49  % (17415)Termination reason: Time limit
% 6.66/1.49  % (17415)Termination phase: Saturation
% 6.66/1.49  
% 6.66/1.49  % (17415)Memory used [KB]: 6863
% 6.66/1.49  % (17415)Time elapsed: 0.234 s
% 6.66/1.49  % (17415)Instructions burned: 462 (million)
% 7.26/1.55  % (17395)Running in auto input_syntax mode. Trying TPTP
% 7.26/1.55  % (17418)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2989ds/336Mi)
% 7.26/1.59  % (17417)Instruction limit reached!
% 7.26/1.59  % (17417)------------------------------
% 7.26/1.59  % (17417)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.26/1.59  % (17417)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.26/1.59  % (17417)Termination reason: Time limit
% 7.26/1.59  % (17417)Termination phase: Saturation
% 7.26/1.59  
% 7.26/1.59  % (17417)Memory used [KB]: 7872
% 7.26/1.59  % (17417)Time elapsed: 0.160 s
% 7.26/1.59  % (17417)Instructions burned: 310 (million)
% 7.83/1.66  % (17395)Running in auto input_syntax mode. Trying TPTP
% 7.83/1.66  % (17419)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2988ds/349Mi)
% 7.83/1.68  % (17419)Refutation not found, incomplete strategy% (17419)------------------------------
% 7.83/1.68  % (17419)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.83/1.68  % (17419)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.83/1.68  % (17419)Termination reason: Refutation not found, incomplete strategy
% 7.83/1.68  
% 7.83/1.68  % (17419)Memory used [KB]: 2180
% 7.83/1.68  % (17419)Time elapsed: 0.078 s
% 7.83/1.68  % (17419)Instructions burned: 27 (million)
% 7.83/1.68  % (17419)------------------------------
% 7.83/1.68  % (17419)------------------------------
% 7.83/1.70  % (17418)Instruction limit reached!
% 7.83/1.70  % (17418)------------------------------
% 7.83/1.70  % (17418)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.83/1.70  % (17418)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.83/1.70  % (17418)Termination reason: Time limit
% 7.83/1.70  % (17418)Termination phase: Saturation
% 7.83/1.70  
% 7.83/1.70  % (17418)Memory used [KB]: 5709
% 7.83/1.70  % (17418)Time elapsed: 0.154 s
% 7.83/1.70  % (17418)Instructions burned: 336 (million)
% 8.82/1.74  % (17395)Running in auto input_syntax mode. Trying TPTP
% 8.82/1.74  % (17420)lrs+2_1:1_sil=2000:sos=all:st=5.0:i=193:bd=off:av=off:ss=axioms:sd=2:sup=off_0 on theBenchmark for (2987ds/193Mi)
% 8.82/1.76  % (17395)Running in auto input_syntax mode. Trying TPTP
% 8.82/1.76  % (17421)lrs+1002_1:1_sil=64000:sos=on:urr=ec_only:flr=on:st=3.0:i=632:sd=1:ep=RS:nm=16:ss=axioms_0 on theBenchmark for (2987ds/632Mi)
% 8.82/1.77  % (17420)Refutation not found, incomplete strategy% (17420)------------------------------
% 8.82/1.77  % (17420)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.82/1.77  % (17420)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.82/1.77  % (17420)Termination reason: Refutation not found, incomplete strategy
% 8.82/1.77  
% 8.82/1.77  % (17420)Memory used [KB]: 3244
% 8.82/1.77  % (17420)Time elapsed: 0.055 s
% 8.82/1.77  % (17420)Instructions burned: 70 (million)
% 8.82/1.77  % (17420)------------------------------
% 8.82/1.77  % (17420)------------------------------
% 9.27/1.79  % (17421)Refutation not found, incomplete strategy% (17421)------------------------------
% 9.27/1.79  % (17421)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.27/1.79  % (17421)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.27/1.79  % (17421)Termination reason: Refutation not found, incomplete strategy
% 9.27/1.79  
% 9.27/1.79  % (17421)Memory used [KB]: 2778
% 9.27/1.79  % (17421)Time elapsed: 0.025 s
% 9.27/1.79  % (17421)Instructions burned: 51 (million)
% 9.27/1.79  % (17421)------------------------------
% 9.27/1.79  % (17421)------------------------------
% 9.46/1.80  % (17395)Running in auto input_syntax mode. Trying TPTP
% 9.46/1.80  % (17422)lrs+1011_4801913:1048576_sfv=off:sil=2000:plsqc=1:plsq=on:plsqr=98277,1048576:etr=on:sp=const_max:lma=on:erape=on:urr=full:rp=on:nwc=23.4614:lwlo=on:st=2.5:i=440:add=large:bs=unit_only:sd=2:kws=inv_arity_squared:awrs=converge:awrsf=951:nm=17:amm=sco:ss=axioms:er=filter:sgt=50:rawr=on:anc=none_0 on theBenchmark for (2986ds/440Mi)
% 9.54/1.84  % (17395)Running in auto input_syntax mode. Trying TPTP
% 9.54/1.84  % (17423)lrs-1011_4:1_bsr=unit_only:sil=4000:sp=occurrence:lsd=20:newcnf=on:i=730:kws=inv_arity_squared:awrs=converge:rawr=on:rp=on:alpa=false:nwc=3.0_0 on theBenchmark for (2986ds/730Mi)
% 10.02/1.99  % (17416)Instruction limit reached!
% 10.02/1.99  % (17416)------------------------------
% 10.02/1.99  % (17416)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.02/1.99  % (17416)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.02/1.99  % (17416)Termination reason: Time limit
% 10.02/1.99  % (17416)Termination phase: Saturation
% 10.02/1.99  
% 10.02/1.99  % (17416)Memory used [KB]: 11369
% 10.02/1.99  % (17416)Time elapsed: 0.746 s
% 10.02/1.99  % (17416)Instructions burned: 2185 (million)
% 10.43/2.01  % (17422)Instruction limit reached!
% 10.43/2.01  % (17422)------------------------------
% 10.43/2.01  % (17422)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.43/2.01  % (17422)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.43/2.01  % (17422)Termination reason: Time limit
% 10.43/2.01  % (17422)Termination phase: Saturation
% 10.43/2.01  
% 10.43/2.01  % (17422)Memory used [KB]: 5923
% 10.43/2.01  % (17422)Time elapsed: 0.205 s
% 10.43/2.01  % (17422)Instructions burned: 440 (million)
% 10.43/2.02  % (17395)Running in auto input_syntax mode. Trying TPTP
% 10.43/2.02  % (17424)lrs+1002_8:1_sil=16000:plsq=on:sos=on:urr=on:plsql=on:st=1.2:i=228:sd=2:ss=axioms_0 on theBenchmark for (2984ds/228Mi)
% 10.43/2.06  % (17395)Running in auto input_syntax mode. Trying TPTP
% 10.43/2.06  % (17425)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=1008:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2984ds/1008Mi)
% 11.01/2.08  % (17424)Instruction limit reached!
% 11.01/2.08  % (17424)------------------------------
% 11.01/2.08  % (17424)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.01/2.08  % (17424)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.01/2.08  % (17424)Termination reason: Time limit
% 11.01/2.08  % (17424)Termination phase: Saturation
% 11.01/2.08  
% 11.01/2.08  % (17424)Memory used [KB]: 4179
% 11.01/2.08  % (17424)Time elapsed: 0.062 s
% 11.01/2.08  % (17424)Instructions burned: 229 (million)
% 11.21/2.11  % (17395)Running in auto input_syntax mode. Trying TPTP
% 11.21/2.11  % (17426)dis-1002_1:64_sil=2000:sos=on:nwc=10.0:i=231:nm=2:ss=axioms:ep=RST:sd=1_0 on theBenchmark for (2983ds/231Mi)
% 11.29/2.19  % (17426)Instruction limit reached!
% 11.29/2.19  % (17426)------------------------------
% 11.29/2.19  % (17426)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.29/2.19  % (17426)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.29/2.19  % (17426)Termination reason: Time limit
% 11.29/2.19  % (17426)Termination phase: Saturation
% 11.29/2.19  
% 11.29/2.19  % (17426)Memory used [KB]: 3852
% 11.29/2.19  % (17426)Time elapsed: 0.073 s
% 11.29/2.19  % (17426)Instructions burned: 232 (million)
% 11.29/2.21  % (17423)Instruction limit reached!
% 11.29/2.21  % (17423)------------------------------
% 11.29/2.21  % (17423)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.29/2.21  % (17423)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.29/2.21  % (17423)Termination reason: Time limit
% 11.29/2.21  % (17423)Termination phase: Saturation
% 11.29/2.21  
% 11.29/2.21  % (17423)Memory used [KB]: 8159
% 11.29/2.21  % (17423)Time elapsed: 0.363 s
% 11.29/2.21  % (17423)Instructions burned: 730 (million)
% 11.29/2.22  % (17395)Running in auto input_syntax mode. Trying TPTP
% 11.29/2.22  % (17427)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=501:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2982ds/501Mi)
% 12.46/2.26  % (17395)Running in auto input_syntax mode. Trying TPTP
% 12.46/2.26  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 12.46/2.27  % (17428)dis-1011_100103:1048576_bsr=on:drc=encompass:sil=2000:tgt=full:bsd=on:ile=on:sp=const_min:rnwc=on:nwc=23.5528:s2agt=30:avsqc=2:avsq=on:s2a=on:i=411:s2at=6:avsqr=111405,262144:bsdmm=3:nm=40:uhcvi=on:afr=on:ss=axioms:sgt=5:rawr=on:add=large_0 on theBenchmark for (2982ds/411Mi)
% 13.41/2.43  % (17427)Instruction limit reached!
% 13.41/2.43  % (17427)------------------------------
% 13.41/2.43  % (17427)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.41/2.43  % (17427)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.41/2.43  % (17427)Termination reason: Time limit
% 13.41/2.43  % (17427)Termination phase: Saturation
% 13.41/2.43  
% 13.41/2.43  % (17427)Memory used [KB]: 4274
% 13.41/2.43  % (17427)Time elapsed: 0.209 s
% 13.41/2.43  % (17427)Instructions burned: 501 (million)
% 13.41/2.44  % (17425)Instruction limit reached!
% 13.41/2.44  % (17425)------------------------------
% 13.41/2.44  % (17425)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.41/2.44  % (17425)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.41/2.44  % (17425)Termination reason: Time limit
% 13.41/2.44  % (17425)Termination phase: Saturation
% 13.41/2.44  
% 13.41/2.44  % (17425)Memory used [KB]: 4056
% 13.41/2.44  % (17425)Time elapsed: 0.378 s
% 13.41/2.44  % (17425)Instructions burned: 1008 (million)
% 13.96/2.49  % (17395)Running in auto input_syntax mode. Trying TPTP
% 13.96/2.49  % (17429)dis+1011_3:8_bsr=unit_only:slsqr=1,16:sil=2000:plsq=on:plsqr=296,127:sp=reverse_frequency:lsd=5:nwc=10.0:slsqc=3:slsq=on:st=3.0:i=412:s2at=4.5:sd=4:slsql=off:nm=16:ins=5:ss=axioms:sgt=20:rawr=on:urr=ec_only:to=lpo_0 on theBenchmark for (2980ds/412Mi)
% 13.96/2.49  % (17428)Instruction limit reached!
% 13.96/2.49  % (17428)------------------------------
% 13.96/2.49  % (17428)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.96/2.49  % (17428)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.96/2.49  % (17428)Termination reason: Time limit
% 13.96/2.49  % (17428)Termination phase: Saturation
% 13.96/2.49  
% 13.96/2.49  % (17428)Memory used [KB]: 5354
% 13.96/2.49  % (17428)Time elapsed: 0.223 s
% 13.96/2.49  % (17428)Instructions burned: 412 (million)
% 13.96/2.50  % (17395)Running in auto input_syntax mode. Trying TPTP
% 13.96/2.50  % (17430)lrs+1002_1:16_sil=4000:sos=on:sac=on:i=886:bs=unit_only:gsp=on:ss=included:sgt=16:fsr=off:sfv=off:bd=off_0 on theBenchmark for (2980ds/886Mi)
% 14.07/2.55  % (17395)Running in auto input_syntax mode. Trying TPTP
% 14.07/2.55  % (17431)dis+1011_3:1_sil=2000:lsd=10:sac=on:s2a=on:i=258:fsr=off:fd=off:ss=axioms:sd=2:sgt=16_0 on theBenchmark for (2979ds/258Mi)
% 14.45/2.66  % (17429)Instruction limit reached!
% 14.45/2.66  % (17429)------------------------------
% 14.45/2.66  % (17429)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.45/2.66  % (17429)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.45/2.66  % (17429)Termination reason: Time limit
% 14.45/2.66  % (17429)Termination phase: Saturation
% 14.45/2.66  
% 14.45/2.66  % (17429)Memory used [KB]: 5614
% 14.45/2.66  % (17429)Time elapsed: 0.173 s
% 14.45/2.66  % (17429)Instructions burned: 413 (million)
% 14.45/2.67  % (17431)Instruction limit reached!
% 14.45/2.67  % (17431)------------------------------
% 14.45/2.67  % (17431)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.45/2.67  % (17431)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.45/2.67  % (17431)Termination reason: Time limit
% 14.45/2.67  % (17431)Termination phase: Saturation
% 14.45/2.67  
% 14.45/2.67  % (17431)Memory used [KB]: 4701
% 14.45/2.67  % (17431)Time elapsed: 0.128 s
% 14.45/2.67  % (17431)Instructions burned: 258 (million)
% 15.18/2.71  % (17395)Running in auto input_syntax mode. Trying TPTP
% 15.18/2.71  % (17432)lrs+21_1:1024_sil=2000:sp=frequency:spb=non_intro:st=3.5:i=420:sd=3:kws=precedence:bd=off:av=off:ss=axioms:sup=off:lcm=predicate_0 on theBenchmark for (2977ds/420Mi)
% 15.18/2.73  % (17395)Running in auto input_syntax mode. Trying TPTP
% 15.18/2.73  % (17433)lrs-1011_1:1_sil=16000:urr=ec_only:flr=on:i=262:ep=RST:ss=axioms:sd=1:lsd=50_0 on theBenchmark for (2977ds/262Mi)
% 16.45/2.85  % (17433)Instruction limit reached!
% 16.45/2.85  % (17433)------------------------------
% 16.45/2.85  % (17433)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.45/2.85  % (17433)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.45/2.85  % (17433)Termination reason: Time limit
% 16.45/2.85  % (17433)Termination phase: Saturation
% 16.45/2.85  
% 16.45/2.85  % (17433)Memory used [KB]: 4330
% 16.45/2.85  % (17433)Time elapsed: 0.125 s
% 16.45/2.85  % (17433)Instructions burned: 262 (million)
% 16.45/2.90  % (17430)Instruction limit reached!
% 16.45/2.90  % (17430)------------------------------
% 16.45/2.90  % (17430)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.45/2.90  % (17430)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.45/2.90  % (17430)Termination reason: Time limit
% 16.45/2.90  % (17430)Termination phase: Saturation
% 16.45/2.90  
% 16.45/2.90  % (17430)Memory used [KB]: 9367
% 16.45/2.90  % (17430)Time elapsed: 0.402 s
% 16.45/2.90  % (17430)Instructions burned: 888 (million)
% 16.45/2.90  % (17395)Running in auto input_syntax mode. Trying TPTP
% 16.45/2.90  % (17434)lrs+1002_1:1_to=lpo:sil=4000:sos=on:i=425:sd=1:ss=included_0 on theBenchmark for (2975ds/425Mi)
% 16.45/2.91  % (17432)Instruction limit reached!
% 16.45/2.91  % (17432)------------------------------
% 16.45/2.91  % (17432)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.45/2.91  % (17432)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.45/2.91  % (17432)Termination reason: Time limit
% 16.45/2.91  % (17432)Termination phase: Saturation
% 16.45/2.91  
% 16.45/2.91  % (17432)Memory used [KB]: 4768
% 16.45/2.91  % (17432)Time elapsed: 0.199 s
% 16.45/2.91  % (17432)Instructions burned: 420 (million)
% 17.01/2.93  % (17395)Running in auto input_syntax mode. Trying TPTP
% 17.01/2.93  % (17435)lrs+1011_1:64_slsqr=117407,1048576:drc=encompass:sil=2000:plsqc=1:plsq=on:plsqr=32300765,1048576:urr=ec_only:rp=on:slsqc=3:slsq=on:i=619:slsql=off:bd=off:rawr=on:fsr=off:br=off:s2at=2.0_0 on theBenchmark for (2975ds/619Mi)
% 17.01/2.97  % (17395)Running in auto input_syntax mode. Trying TPTP
% 17.01/2.97  % (17436)lrs+2_1:1_sil=2000:tgt=ground:sos=on:i=274:sd=1:ss=included:to=lpo:plsq=on:plsqr=32,1_0 on theBenchmark for (2975ds/274Mi)
% 17.27/3.03  % (17436)Refutation not found, incomplete strategy% (17436)------------------------------
% 17.27/3.03  % (17436)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.27/3.03  % (17436)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.27/3.03  % (17436)Termination reason: Refutation not found, incomplete strategy
% 17.27/3.03  
% 17.27/3.03  % (17436)Memory used [KB]: 4890
% 17.27/3.03  % (17436)Time elapsed: 0.070 s
% 17.27/3.03  % (17436)Instructions burned: 150 (million)
% 17.27/3.04  % (17436)------------------------------
% 17.27/3.04  % (17436)------------------------------
% 17.70/3.08  % (17395)Running in auto input_syntax mode. Trying TPTP
% 17.70/3.08  % (17437)lrs-1011_1:1_bsr=unit_only:sil=2000:sp=occurrence:sac=on:i=280:sd=3:ss=axioms:sgt=30:newcnf=on_0 on theBenchmark for (2974ds/280Mi)
% 17.70/3.09  % (17434)Instruction limit reached!
% 17.70/3.09  % (17434)------------------------------
% 17.70/3.09  % (17434)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.70/3.09  % (17434)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.70/3.09  % (17434)Termination reason: Time limit
% 17.70/3.09  % (17434)Termination phase: Saturation
% 17.70/3.09  
% 17.70/3.09  % (17434)Memory used [KB]: 7238
% 17.70/3.09  % (17434)Time elapsed: 0.192 s
% 17.70/3.09  % (17434)Instructions burned: 426 (million)
% 18.21/3.15  % (17395)Running in auto input_syntax mode. Trying TPTP
% 18.21/3.15  % (17438)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=280:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2973ds/280Mi)
% 18.21/3.19  % (17435)Instruction limit reached!
% 18.21/3.19  % (17435)------------------------------
% 18.21/3.19  % (17435)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.21/3.19  % (17435)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.21/3.19  % (17435)Termination reason: Time limit
% 18.21/3.19  % (17435)Termination phase: Saturation
% 18.21/3.19  
% 18.21/3.19  % (17435)Memory used [KB]: 6553
% 18.21/3.19  % (17435)Time elapsed: 0.258 s
% 18.21/3.19  % (17435)Instructions burned: 619 (million)
% 18.21/3.20  % (17437)Instruction limit reached!
% 18.21/3.20  % (17437)------------------------------
% 18.21/3.20  % (17437)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.21/3.20  % (17437)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.21/3.20  % (17437)Termination reason: Time limit
% 18.21/3.20  % (17437)Termination phase: Saturation
% 18.21/3.20  
% 18.21/3.20  % (17437)Memory used [KB]: 4838
% 18.21/3.20  % (17437)Time elapsed: 0.123 s
% 18.21/3.20  % (17437)Instructions burned: 280 (million)
% 18.21/3.22  % (17395)Running in auto input_syntax mode. Trying TPTP
% 18.21/3.22  % (17439)dis+1011_1:1_sil=2000:urr=ec_only:br=off:st=1.5:i=497:fsr=off:fsd=on:ss=axioms:slsq=on:slsql=off:slsqr=1,16:sup=off_0 on theBenchmark for (2972ds/497Mi)
% 19.04/3.26  % (17395)Running in auto input_syntax mode. Trying TPTP
% 19.04/3.26  % (17440)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=321:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2972ds/321Mi)
% 19.30/3.29  % (17438)Instruction limit reached!
% 19.30/3.29  % (17438)------------------------------
% 19.30/3.29  % (17438)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.30/3.29  % (17438)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.30/3.29  % (17438)Termination reason: Time limit
% 19.30/3.29  % (17438)Termination phase: Saturation
% 19.30/3.29  
% 19.30/3.29  % (17438)Memory used [KB]: 3841
% 19.30/3.29  % (17438)Time elapsed: 0.145 s
% 19.30/3.29  % (17438)Instructions burned: 281 (million)
% 19.30/3.31  % (17439)Refutation not found, incomplete strategy% (17439)------------------------------
% 19.30/3.31  % (17439)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.30/3.31  % (17439)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.30/3.31  % (17439)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.31  
% 19.30/3.31  % (17439)Memory used [KB]: 3913
% 19.30/3.31  % (17439)Time elapsed: 0.093 s
% 19.30/3.31  % (17439)Instructions burned: 211 (million)
% 19.30/3.31  % (17439)------------------------------
% 19.30/3.31  % (17439)------------------------------
% 19.30/3.34  % (17395)Running in auto input_syntax mode. Trying TPTP
% 19.30/3.34  % (17441)lrs-10_1:1_to=lpo:drc=off:sil=8000:sos=on:i=550:ss=axioms:sd=1_0 on theBenchmark for (2971ds/550Mi)
% 19.30/3.35  % (17441)Refutation not found, incomplete strategy% (17441)------------------------------
% 19.30/3.35  % (17441)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.30/3.35  % (17441)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.30/3.35  % (17441)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.35  
% 19.30/3.35  % (17441)Memory used [KB]: 2366
% 19.30/3.35  % (17441)Time elapsed: 0.011 s
% 19.30/3.35  % (17441)Instructions burned: 30 (million)
% 19.30/3.35  % (17441)------------------------------
% 19.30/3.35  % (17441)------------------------------
% 19.96/3.36  % (17395)Running in auto input_syntax mode. Trying TPTP
% 19.96/3.36  % (17442)lrs-1002_3:2_sil=2000:sos=on:fd=off:nwc=10.0:flr=on:i=554:nm=16:fsr=off:sup=off:ss=axioms:fs=off:bd=off:fde=none:erd=off_0 on theBenchmark for (2971ds/554Mi)
% 19.96/3.38  % (17442)Refutation not found, incomplete strategy% (17442)------------------------------
% 19.96/3.38  % (17442)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.96/3.38  % (17442)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.96/3.38  % (17442)Termination reason: Refutation not found, incomplete strategy
% 19.96/3.38  
% 19.96/3.38  % (17442)Memory used [KB]: 2583
% 19.96/3.38  % (17442)Time elapsed: 0.016 s
% 19.96/3.38  % (17442)Instructions burned: 31 (million)
% 19.96/3.38  % (17442)------------------------------
% 19.96/3.38  % (17442)------------------------------
% 20.31/3.39  % (17440)Instruction limit reached!
% 20.31/3.39  % (17440)------------------------------
% 20.31/3.39  % (17440)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.31/3.39  % (17440)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.31/3.39  % (17440)Termination reason: Time limit
% 20.31/3.39  % (17440)Termination phase: Saturation
% 20.31/3.39  
% 20.31/3.39  % (17440)Memory used [KB]: 6325
% 20.31/3.39  % (17440)Time elapsed: 0.131 s
% 20.31/3.39  % (17440)Instructions burned: 322 (million)
% 20.31/3.41  % (17395)Running in auto input_syntax mode. Trying TPTP
% 20.31/3.41  % (17443)lrs+2_5:1_to=lpo:sil=2000:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=all:lma=on:i=337:gsp=on:ss=axioms:rawr=on:sup=off:s2a=on:s2at=3.0_0 on theBenchmark for (2971ds/337Mi)
% 20.53/3.43  % (17395)Running in auto input_syntax mode. Trying TPTP
% 20.53/3.43  % (17444)lrs+11_1:8_sil=2000:fde=unused:sos=all:spb=goal_then_units:lsd=100:i=341:kws=precedence:aac=none:sfv=off_0 on theBenchmark for (2970ds/341Mi)
% 20.53/3.45  % (17443)Refutation not found, incomplete strategy% (17443)------------------------------
% 20.53/3.45  % (17443)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.53/3.45  % (17443)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.53/3.45  % (17443)Termination reason: Refutation not found, incomplete strategy
% 20.53/3.45  
% 20.53/3.45  % (17443)Memory used [KB]: 2970
% 20.53/3.45  % (17443)Time elapsed: 0.057 s
% 20.53/3.45  % (17443)Instructions burned: 73 (million)
% 20.53/3.45  % (17443)------------------------------
% 20.53/3.45  % (17443)------------------------------
% 20.53/3.45  % (17395)Running in auto input_syntax mode. Trying TPTP
% 20.53/3.45  % (17445)dis+1002_1:28_sil=64000:sos=on:s2agt=8:sac=on:i=3780:s2a=on:s2at=2.5:ep=RSTC_0 on theBenchmark for (2970ds/3780Mi)
% 20.68/3.50  % (17395)Running in auto input_syntax mode. Trying TPTP
% 20.68/3.50  % (17446)dis+1011_1:4_sil=8000:tgt=full:st=1.5:s2a=on:i=2134:s2at=1.2:sd=5:ss=axioms:ep=RS:av=off_0 on theBenchmark for (2970ds/2134Mi)
% 21.14/3.59  % (17444)Instruction limit reached!
% 21.14/3.59  % (17444)------------------------------
% 21.14/3.59  % (17444)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.14/3.59  % (17444)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.14/3.59  % (17444)Termination reason: Time limit
% 21.14/3.59  % (17444)Termination phase: Saturation
% 21.14/3.59  
% 21.14/3.59  % (17444)Memory used [KB]: 5932
% 21.14/3.59  % (17444)Time elapsed: 0.159 s
% 21.14/3.59  % (17444)Instructions burned: 341 (million)
% 21.63/3.65  % (17395)Running in auto input_syntax mode. Trying TPTP
% 21.63/3.65  % (17447)lrs-1002_1:1_anc=all:sil=64000:tgt=full:sos=on:st=1.5:i=371:sd=2:kws=inv_frequency:aac=none:fsr=off:ss=axioms:abs=on:fs=off_0 on theBenchmark for (2968ds/371Mi)
% 21.74/3.69  % (17447)Refutation not found, incomplete strategy% (17447)------------------------------
% 21.74/3.69  % (17447)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.74/3.69  % (17447)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.74/3.69  % (17447)Termination reason: Refutation not found, incomplete strategy
% 21.74/3.69  
% 21.74/3.69  % (17447)Memory used [KB]: 3121
% 21.74/3.69  % (17447)Time elapsed: 0.061 s
% 21.74/3.69  % (17447)Instructions burned: 73 (million)
% 21.74/3.69  % (17447)------------------------------
% 21.74/3.69  % (17447)------------------------------
% 22.19/3.75  % (17395)Running in auto input_syntax mode. Trying TPTP
% 22.19/3.75  % (17448)dis+33_1:1_to=lpo:sil=16000:plsq=on:nwc=3.0:s2agt=16:s2a=on:i=3658:s2at=5.5:nm=2:av=off:fsr=off:s2pl=no:ep=RS:erd=off_0 on theBenchmark for (2967ds/3658Mi)
% 27.05/4.36  % (17446)Instruction limit reached!
% 27.05/4.36  % (17446)------------------------------
% 27.05/4.36  % (17446)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.05/4.36  % (17446)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.05/4.36  % (17446)Termination reason: Time limit
% 27.05/4.36  % (17446)Termination phase: Saturation
% 27.05/4.36  
% 27.05/4.36  % (17446)Memory used [KB]: 9040
% 27.05/4.36  % (17446)Time elapsed: 0.874 s
% 27.05/4.36  % (17446)Instructions burned: 2135 (million)
% 27.42/4.42  % (17395)Running in auto input_syntax mode. Trying TPTP
% 27.42/4.42  % (17449)dis+1010_2:13_bsr=on:drc=off:sil=32000:fde=none:sos=on:nwc=10.0:sac=on:newcnf=on:s2a=on:i=663:s2at=1.5:awrs=decay:awrsf=8:nm=16:rawr=on:rnwc=on:kws=arity_squared:amm=sco:alpa=random_0 on theBenchmark for (2960ds/663Mi)
% 29.01/4.66  % (17449)Instruction limit reached!
% 29.01/4.66  % (17449)------------------------------
% 29.01/4.66  % (17449)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.01/4.66  % (17449)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.01/4.66  % (17449)Termination reason: Time limit
% 29.01/4.66  % (17449)Termination phase: Saturation
% 29.01/4.66  
% 29.01/4.66  % (17449)Memory used [KB]: 7724
% 29.01/4.66  % (17449)Time elapsed: 0.261 s
% 29.01/4.66  % (17449)Instructions burned: 665 (million)
% 29.01/4.71  % (17395)Running in auto input_syntax mode. Trying TPTP
% 29.01/4.71  % (17450)lrs+1011_5:1_drc=encompass:sil=2000:urr=on:fd=preordered:i=2101:kws=inv_frequency:s2a=on:s2at=-1.0_0 on theBenchmark for (2957ds/2101Mi)
% 30.84/5.03  % (17445)Instruction limit reached!
% 30.84/5.03  % (17445)------------------------------
% 30.84/5.03  % (17445)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.84/5.03  % (17445)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.84/5.03  % (17445)Termination reason: Time limit
% 30.84/5.03  % (17445)Termination phase: Saturation
% 30.84/5.03  
% 30.84/5.03  % (17445)Memory used [KB]: 18724
% 30.84/5.03  % (17445)Time elapsed: 1.604 s
% 30.84/5.03  % (17445)Instructions burned: 3780 (million)
% 31.42/5.09  % (17395)Running in auto input_syntax mode. Trying TPTP
% 31.42/5.09  % (17451)dis+1002_1:1_sil=16000:tgt=ground:sac=on:i=714:sd=2:aac=none:ss=axioms:nwc=10.0_0 on theBenchmark for (2954ds/714Mi)
% 33.76/5.36  % (17451)Instruction limit reached!
% 33.76/5.36  % (17451)------------------------------
% 33.76/5.36  % (17451)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.76/5.36  % (17451)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.76/5.36  % (17451)Termination reason: Time limit
% 33.76/5.36  % (17451)Termination phase: Saturation
% 33.76/5.36  
% 33.76/5.36  % (17451)Memory used [KB]: 6332
% 33.76/5.36  % (17451)Time elapsed: 0.275 s
% 33.76/5.36  % (17451)Instructions burned: 715 (million)
% 34.30/5.40  % (17448)Instruction limit reached!
% 34.30/5.40  % (17448)------------------------------
% 34.30/5.40  % (17448)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 34.30/5.40  % (17448)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 34.30/5.40  % (17448)Termination reason: Time limit
% 34.30/5.40  % (17448)Termination phase: Saturation
% 34.30/5.40  
% 34.30/5.40  % (17448)Memory used [KB]: 35771
% 34.30/5.40  % (17448)Time elapsed: 1.679 s
% 34.30/5.40  % (17448)Instructions burned: 3658 (million)
% 34.30/5.42  % (17395)Running in auto input_syntax mode. Trying TPTP
% 34.30/5.42  % (17452)lrs+1011_4345945:1048576_bsr=unit_only:sil=8000:tgt=full:irw=on:fde=none:sos=on:lma=on:spb=intro:abs=on:urr=on:br=off:fd=preordered:rp=on:nwc=14.3155:s2agt=50:alpa=random:kmz=on:updr=off:s2a=on:i=423:add=off:bs=on:kws=inv_arity_squared:afp=100000:aac=none:awrs=decay:awrsf=1366:nm=2:ins=2:afq=4.07453:uhcvi=on:afr=on:rawr=on:sp=unary_first:bd=off:fsd=on:fsdmm=1:s2at=5.0:sup=off_0 on theBenchmark for (2950ds/423Mi)
% 34.30/5.46  % (17395)Running in auto input_syntax mode. Trying TPTP
% 34.30/5.46  % (17453)lrs+1010_1:28_sil=2000:s2agt=16:st=3.0:s2a=on:i=427:sd=3:ss=axioms:av=off:slsq=on_0 on theBenchmark for (2950ds/427Mi)
% 34.70/5.48  % (17452)Refutation not found, incomplete strategy% (17452)------------------------------
% 34.70/5.48  % (17452)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 34.70/5.48  % (17452)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 34.70/5.48  % (17452)Termination reason: Refutation not found, incomplete strategy
% 34.70/5.48  
% 34.70/5.48  % (17452)Memory used [KB]: 5319
% 34.70/5.48  % (17452)Time elapsed: 0.054 s
% 34.70/5.48  % (17452)Instructions burned: 133 (million)
% 34.70/5.48  % (17452)------------------------------
% 34.70/5.48  % (17452)------------------------------
% 34.96/5.51  % (17395)Running in auto input_syntax mode. Trying TPTP
% 34.96/5.51  % (17454)lrs+11_2:1_to=lpo:sil=2000:tgt=ground:sp=const_frequency:i=456:bd=off:fsr=off:ss=axioms:av=off:s2a=on:s2at=-1.0_0 on theBenchmark for (2949ds/456Mi)
% 35.96/5.65  % (17454)Instruction limit reached!
% 35.96/5.65  % (17454)------------------------------
% 35.96/5.65  % (17454)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 35.96/5.65  % (17454)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 35.96/5.65  % (17454)Termination reason: Time limit
% 35.96/5.65  % (17454)Termination phase: Saturation
% 35.96/5.65  
% 35.96/5.65  % (17454)Memory used [KB]: 5422
% 35.96/5.65  % (17454)Time elapsed: 0.146 s
% 35.96/5.65  % (17454)Instructions burned: 459 (million)
% 35.96/5.67  % (17453)Instruction limit reached!
% 35.96/5.67  % (17453)------------------------------
% 35.96/5.67  % (17453)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 35.96/5.67  % (17453)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 35.96/5.67  % (17453)Termination reason: Time limit
% 35.96/5.67  % (17453)Termination phase: Saturation
% 35.96/5.67  
% 35.96/5.67  % (17453)Memory used [KB]: 5101
% 35.96/5.67  % (17453)Time elapsed: 0.218 s
% 35.96/5.67  % (17453)Instructions burned: 427 (million)
% 35.96/5.69  % (17395)Running in auto input_syntax mode. Trying TPTP
% 35.96/5.69  % (17455)dis+1011_2:1_sil=2000:fde=unused:plsqc=1:plsq=on:plsqr=36971,524288:nwc=5.0:i=479:ep=RS:nm=7_0 on theBenchmark for (2947ds/479Mi)
% 36.47/5.74  % (17450)Instruction limit reached!
% 36.47/5.74  % (17450)------------------------------
% 36.47/5.74  % (17450)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 36.47/5.74  % (17450)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 36.47/5.74  % (17450)Termination reason: Time limit
% 36.47/5.74  % (17450)Termination phase: Saturation
% 36.47/5.74  
% 36.47/5.74  % (17450)Memory used [KB]: 13068
% 36.47/5.74  % (17450)Time elapsed: 1.034 s
% 36.47/5.74  % (17450)Instructions burned: 2101 (million)
% 36.47/5.74  % (17395)Running in auto input_syntax mode. Trying TPTP
% 36.47/5.74  % (17456)dis+1011_1:1_drc=off:sil=2000:fde=unused:sp=const_min:spb=goal_then_units:lsd=20:s2agt=10:newcnf=on:s2a=on:i=869:nm=2:av=off:rawr=on:fsd=on_0 on theBenchmark for (2947ds/869Mi)
% 36.83/5.80  % (17395)Running in auto input_syntax mode. Trying TPTP
% 36.83/5.80  % (17457)dis+11_1:1024_to=lpo:sil=16000:sp=reverse_arity:sos=all:st=1.5:i=511:bd=off:av=off:ss=axioms:sfv=off:sd=4:fd=off_0 on theBenchmark for (2947ds/511Mi)
% 36.83/5.82  % (17455)Instruction limit reached!
% 36.83/5.82  % (17455)------------------------------
% 36.83/5.82  % (17455)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 36.83/5.82  % (17455)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 36.83/5.82  % (17455)Termination reason: Time limit
% 36.83/5.82  % (17455)Termination phase: Saturation
% 36.83/5.82  
% 36.83/5.82  % (17455)Memory used [KB]: 7421
% 36.83/5.82  % (17455)Time elapsed: 0.138 s
% 36.83/5.82  % (17455)Instructions burned: 482 (million)
% 36.83/5.86  % (17395)Running in auto input_syntax mode. Trying TPTP
% 36.83/5.86  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 36.83/5.86  % (17458)ott-1010_1915907:1048576_to=lpo:sil=2000:plsq=on:ile=on:plsqr=319573,262144:sp=reverse_arity:sos=on:nwc=6.38626:s2agt=10:avsq=on:s2a=on:i=511:s2at=5.5:sd=1:afp=40000:avsqr=5709,524288:nm=9:ins=2:fsr=off:afq=1.49663:ss=included:rawr=on:acc=model:ccuc=small_ones:fs=off:spb=goal_0 on theBenchmark for (2946ds/511Mi)
% 37.48/5.95  % (17457)First to succeed.
% 37.48/5.95  % (17457)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17395"
% 37.48/5.95  % (17395)Running in auto input_syntax mode. Trying TPTP
% 37.48/5.95  % (17457)Refutation found. Thanks to Tanya!
% 37.48/5.95  % SZS status Theorem for theBenchmark
% 37.48/5.95  % SZS output start Proof for theBenchmark
% See solution above
% 37.48/5.95  % (17457)------------------------------
% 37.48/5.95  % (17457)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 37.48/5.95  % (17457)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 37.48/5.95  % (17457)Termination reason: Refutation
% 37.48/5.95  
% 37.48/5.95  % (17457)Memory used [KB]: 4074
% 37.48/5.95  % (17457)Time elapsed: 0.154 s
% 37.48/5.95  % (17457)Instructions burned: 368 (million)
% 37.48/5.95  % (17457)------------------------------
% 37.48/5.95  % (17457)------------------------------
% 37.48/5.95  % (17395)Success in time 5.51 s
%------------------------------------------------------------------------------