TSTP Solution File: SWW217+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW217+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Fri May  3 03:24:31 EDT 2024

% Result   : Theorem 200.53s 27.24s
% Output   : CNFRefutation 200.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   96 (  35 unt;   0 def)
%            Number of atoms       :  231 (  48 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  231 (  96   ~;  94   |;  15   &)
%                                         (   8 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :  152 (   0 sgn 106   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dme) ).

fof(f8,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).

fof(f9,axiom,
    ! [X6,X8,X9] :
      ( class_RealVector_Oreal__normed__div__algebra(X9)
     => c_RealVector_Onorm__class_Onorm(X9,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X9),X8),X6)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X9,X8)),c_RealVector_Onorm__class_Onorm(X9,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__mult) ).

fof(f120,axiom,
    ! [X37,X22] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X22,X37)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X37,X22)
       => X22 = X37 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__antisym) ).

fof(f121,axiom,
    ! [X38,X39,X40] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X40,X39)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X39,X38)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X40,X38) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).

fof(f124,axiom,
    ! [X37,X22] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X22),X37) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X37),X22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).

fof(f133,axiom,
    ! [X24,X19] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X24)
    <=> ( X19 = X24
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X19,X24) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__real__def) ).

fof(f526,axiom,
    ! [X24,X19,X9] :
      ( class_Orderings_Olinorder(X9)
     => ( ~ c_Orderings_Oord__class_Oless(X9,X19,X24)
      <=> ( X19 = X24
          | c_Orderings_Oord__class_Oless(X9,X24,X19) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less__iff__gr__or__eq) ).

fof(f549,axiom,
    ! [X24,X19,X9] :
      ( class_Orderings_Opreorder(X9)
     => ( c_Orderings_Oord__class_Oless(X9,X19,X24)
      <=> ( ~ c_Orderings_Oord__class_Oless__eq(X9,X24,X19)
          & c_Orderings_Oord__class_Oless__eq(X9,X19,X24) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__le__not__le) ).

fof(f552,axiom,
    ! [X8,X6,X9] :
      ( class_Orderings_Olinorder(X9)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X9,X6,X8)
       => c_Orderings_Oord__class_Oless(X9,X8,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__leE) ).

fof(f1145,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).

fof(f1146,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).

fof(f1166,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).

fof(f1260,conjecture,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1261,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(negated_conjecture,[],[f1260]) ).

fof(f1264,plain,
    ! [X0,X1,X2] :
      ( class_RealVector_Oreal__normed__div__algebra(X2)
     => c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0)) ),
    inference(rectify,[],[f9]) ).

fof(f1359,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
       => X0 = X1 ) ),
    inference(rectify,[],[f120]) ).

fof(f1360,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
    inference(rectify,[],[f121]) ).

fof(f1363,plain,
    ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
    inference(rectify,[],[f124]) ).

fof(f1372,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f133]) ).

fof(f1765,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> ( X0 = X1
          | c_Orderings_Oord__class_Oless(X2,X0,X1) ) ) ),
    inference(rectify,[],[f526]) ).

fof(f1788,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Opreorder(X2)
     => ( c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
          & c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ) ),
    inference(rectify,[],[f549]) ).

fof(f1791,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
       => c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
    inference(rectify,[],[f552]) ).

fof(f2280,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(flattening,[],[f1261]) ).

fof(f2286,plain,
    ! [X0,X1,X2] :
      ( c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0))
      | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(ennf_transformation,[],[f1264]) ).

fof(f2401,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(ennf_transformation,[],[f1359]) ).

fof(f2402,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(flattening,[],[f2401]) ).

fof(f2403,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(ennf_transformation,[],[f1360]) ).

fof(f2404,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(flattening,[],[f2403]) ).

fof(f2884,plain,
    ! [X0,X1,X2] :
      ( ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> ( X0 = X1
          | c_Orderings_Oord__class_Oless(X2,X0,X1) ) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1765]) ).

fof(f2926,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
      <=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
          & c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) )
      | ~ class_Orderings_Opreorder(X2) ),
    inference(ennf_transformation,[],[f1788]) ).

fof(f2930,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1791]) ).

fof(f2931,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f2930]) ).

fof(f3462,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f1372]) ).

fof(f3463,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f3462]) ).

fof(f3658,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
          | ( X0 != X1
            & ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) )
        & ( X0 = X1
          | c_Orderings_Oord__class_Oless(X2,X0,X1)
          | c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(nnf_transformation,[],[f2884]) ).

fof(f3659,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
          | ( X0 != X1
            & ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) )
        & ( X0 = X1
          | c_Orderings_Oord__class_Oless(X2,X0,X1)
          | c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f3658]) ).

fof(f3665,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
          | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
        & ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
            & c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
          | ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
      | ~ class_Orderings_Opreorder(X2) ),
    inference(nnf_transformation,[],[f2926]) ).

fof(f3666,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
          | c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
        & ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
            & c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
          | ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
      | ~ class_Orderings_Opreorder(X2) ),
    inference(flattening,[],[f3665]) ).

fof(f3867,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
    inference(cnf_transformation,[],[f5]) ).

fof(f3871,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
    inference(cnf_transformation,[],[f8]) ).

fof(f3872,plain,
    ! [X2,X0,X1] :
      ( c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0))
      | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(cnf_transformation,[],[f2286]) ).

fof(f4005,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f2402]) ).

fof(f4006,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(cnf_transformation,[],[f2404]) ).

fof(f4009,plain,
    ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
    inference(cnf_transformation,[],[f1363]) ).

fof(f4023,plain,
    ! [X0,X1] :
      ( X0 = X1
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f3463]) ).

fof(f4024,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f3463]) ).

fof(f4661,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(cnf_transformation,[],[f3659]) ).

fof(f4691,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ class_Orderings_Opreorder(X2) ),
    inference(cnf_transformation,[],[f3666]) ).

fof(f4697,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(cnf_transformation,[],[f2931]) ).

fof(f5484,plain,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1145]) ).

fof(f5485,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1146]) ).

fof(f5505,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1166]) ).

fof(f5599,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(cnf_transformation,[],[f2280]) ).

cnf(c_53,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
    inference(cnf_transformation,[],[f3867]) ).

cnf(c_57,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
    inference(cnf_transformation,[],[f3871]) ).

cnf(c_58,plain,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f3872]) ).

cnf(c_189,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f4005]) ).

cnf(c_190,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(cnf_transformation,[],[f4006]) ).

cnf(c_193,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),
    inference(cnf_transformation,[],[f4009]) ).

cnf(c_208,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
    inference(cnf_transformation,[],[f4024]) ).

cnf(c_209,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
    | X0 = X1
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(cnf_transformation,[],[f4023]) ).

cnf(c_815,plain,
    ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
    | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[],[f4661]) ).

cnf(c_840,plain,
    ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
    | ~ class_Orderings_Opreorder(X0) ),
    inference(cnf_transformation,[],[f4691]) ).

cnf(c_846,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_Orderings_Oord__class_Oless(X0,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(X0,X2,X1) ),
    inference(cnf_transformation,[],[f4697]) ).

cnf(c_1625,plain,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f5484]) ).

cnf(c_1626,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f5485]) ).

cnf(c_1646,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f5505]) ).

cnf(c_1740,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(cnf_transformation,[],[f5599]) ).

cnf(c_2744,plain,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

cnf(c_13972,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
    inference(demodulation,[status(thm)],[c_53,c_193]) ).

cnf(c_17833,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(demodulation,[status(thm)],[c_57,c_193]) ).

cnf(c_19059,plain,
    ( X0 != tc_Complex_Ocomplex
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
    inference(resolution_lifted,[status(thm)],[c_2744,c_1646]) ).

cnf(c_19060,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)),
    inference(unflattening,[status(thm)],[c_19059]) ).

cnf(c_24113,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
    inference(resolution_lifted,[status(thm)],[c_815,c_1626]) ).

cnf(c_24114,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(unflattening,[status(thm)],[c_24113]) ).

cnf(c_49305,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    inference(demodulation,[status(thm)],[c_1740,c_19060]) ).

cnf(c_50265,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(demodulation,[status(thm)],[c_17833,c_19060]) ).

cnf(c_63473,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_24114]) ).

cnf(c_63474,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(renaming,[status(thm)],[c_63473]) ).

cnf(c_163942,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
    inference(superposition,[status(thm)],[c_13972,c_208]) ).

cnf(c_164301,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(superposition,[status(thm)],[c_13972,c_63474]) ).

cnf(c_165666,plain,
    ( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
    | X0 = X1
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(superposition,[status(thm)],[c_846,c_209]) ).

cnf(c_165742,plain,
    ( X0 = X1
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_165666,c_1626]) ).

cnf(c_165994,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
    inference(superposition,[status(thm)],[c_165742,c_49305]) ).

cnf(c_166054,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
    inference(superposition,[status(thm)],[c_165994,c_208]) ).

cnf(c_166908,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____))
    | ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_13972,c_840]) ).

cnf(c_167022,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(forward_subsumption_resolution,[status(thm)],[c_166908,c_1625]) ).

cnf(c_169082,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_e)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
    inference(superposition,[status(thm)],[c_166054,c_190]) ).

cnf(c_169166,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),X0)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_e)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = X0
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e ),
    inference(superposition,[status(thm)],[c_169082,c_189]) ).

cnf(c_169349,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e ),
    inference(superposition,[status(thm)],[c_50265,c_169166]) ).

cnf(c_169355,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e ),
    inference(forward_subsumption_resolution,[status(thm)],[c_169349,c_163942]) ).

cnf(c_169567,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)) ),
    inference(superposition,[status(thm)],[c_169355,c_165994]) ).

cnf(c_169570,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e,
    inference(forward_subsumption_resolution,[status(thm)],[c_169567,c_164301]) ).

cnf(c_169571,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(demodulation,[status(thm)],[c_50265,c_169570]) ).

cnf(c_169573,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_169571,c_167022]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWW217+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 22:26:58 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.18/0.43  Running first-order theorem proving
% 0.18/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 200.53/27.24  % SZS status Started for theBenchmark.p
% 200.53/27.24  % SZS status Theorem for theBenchmark.p
% 200.53/27.24  
% 200.53/27.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 200.53/27.24  
% 200.53/27.24  ------  iProver source info
% 200.53/27.24  
% 200.53/27.24  git: date: 2024-05-02 19:28:25 +0000
% 200.53/27.24  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 200.53/27.24  git: non_committed_changes: false
% 200.53/27.24  
% 200.53/27.24  ------ Parsing...
% 200.53/27.24  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 200.53/27.24  
% 200.53/27.24  ------ Preprocessing... sup_sim: 77  sf_s  rm: 7 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 44  sf_s  rm: 19 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 21 0s  sf_e  pe_s  pe_e 
% 200.53/27.24  
% 200.53/27.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 200.53/27.24  
% 200.53/27.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 200.53/27.24  ------ Proving...
% 200.53/27.24  ------ Problem Properties 
% 200.53/27.24  
% 200.53/27.24  
% 200.53/27.24  clauses                                 1408
% 200.53/27.24  conjectures                             0
% 200.53/27.24  EPR                                     215
% 200.53/27.24  Horn                                    1194
% 200.53/27.24  unary                                   449
% 200.53/27.24  binary                                  438
% 200.53/27.24  lits                                    3140
% 200.53/27.24  lits eq                                 731
% 200.53/27.24  fd_pure                                 0
% 200.53/27.24  fd_pseudo                               0
% 200.53/27.24  fd_cond                                 98
% 200.53/27.24  fd_pseudo_cond                          81
% 200.53/27.24  AC symbols                              0
% 200.53/27.24  
% 200.53/27.24  ------ Input Options Time Limit: Unbounded
% 200.53/27.24  
% 200.53/27.24  
% 200.53/27.24  ------ 
% 200.53/27.24  Current options:
% 200.53/27.24  ------ 
% 200.53/27.24  
% 200.53/27.24  
% 200.53/27.24  
% 200.53/27.24  
% 200.53/27.24  ------ Proving...
% 200.53/27.24  
% 200.53/27.24  
% 200.53/27.24  % SZS status Theorem for theBenchmark.p
% 200.53/27.24  
% 200.53/27.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 200.53/27.24  
% 200.53/27.24  
%------------------------------------------------------------------------------