TSTP Solution File: SWW180+1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : SWW180+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n032.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 18:13:45 EDT 2024

% Result   : Theorem 5.73s 1.27s
% Output   : CNFRefutation 5.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   87 (  38 unt;   0 def)
%            Number of atoms       :  169 (  43 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  145 (  63   ~;  54   |;  11   &)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  110 (   1 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_real__abs__def,axiom,
    ! [X20] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X20,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X20) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X20) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X20,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X20) = X20 ) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__abs__def) ).

fof(fact_complex__mod__minus__le__complex__mod,axiom,
    ! [X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5)),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_complex__mod__minus__le__complex__mod) ).

fof(fact_abs__le__interval__iff,axiom,
    ! [X62,X13] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X13),X62)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X62),X13)
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X62) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_abs__le__interval__iff) ).

fof(fact_real__le__refl,axiom,
    ! [X27] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X27,X27),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__le__refl) ).

fof(fact_real__le__trans,axiom,
    ! [X37,X38,X39] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X39,X38)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X38,X37)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X39,X37) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__le__trans) ).

fof(fact_real__le__antisym,axiom,
    ! [X27,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16,X27)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X27,X16)
       => X16 = X27 ) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__le__antisym) ).

fof(fact_H,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_H) ).

fof(conj_0,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',conj_0) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
    ! [X15,X9,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => c_Groups_Oplus__class_Oplus(X6,X9,X15) = c_Groups_Oplus__class_Oplus(X6,X15,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).

fof(fact_abs__add__one__not__less__self,axiom,
    ! [X5] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_abs__add__one__not__less__self) ).

fof(fact_abs__mult__pos,axiom,
    ! [X4,X5,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6),X5)
       => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oabs__class_Oabs(X6,X4)),X5) = c_Groups_Oabs__class_Oabs(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X4),X5)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_abs__mult__pos) ).

fof(fact_real__less__def,axiom,
    ! [X12,X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X12)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12)
        & X13 != X12 ) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__less__def) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
    ! [X9,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => c_Groups_Oplus__class_Oplus(X6,X9,c_Groups_Ozero__class_Ozero(X6)) = X9 ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).

fof(fact_real__add__left__mono,axiom,
    ! [X16,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X16,X5),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X16,X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__add__left__mono) ).

fof(fact_real__le__linear,axiom,
    ! [X27,X16] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16,X27)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X27,X16) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__le__linear) ).

fof(fact_real__add__eq__0__iff,axiom,
    ! [X12,X13] :
      ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X12) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> X12 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13) ),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_real__add__eq__0__iff) ).

fof(fact_th,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),v_z____)),v_m____),
    file('/export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p',fact_th) ).

fof(c_0_19,plain,
    ! [X20] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X20,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X20) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X20) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X20,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
       => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X20) = X20 ) ),
    inference(fof_simplification,[status(thm)],[fact_real__abs__def]) ).

fof(c_0_20,plain,
    ! [X420] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X420)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X420)),
    inference(variable_rename,[status(thm)],[fact_complex__mod__minus__le__complex__mod]) ).

fof(c_0_21,plain,
    ! [X285] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X285,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X285) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X285) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X285,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
        | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X285) = X285 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).

fof(c_0_22,plain,
    ! [X281,X282] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X281),X282)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X282),X281) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X282,X281)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X282),X281) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X281),X282)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X282,X281)
        | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X282),X281) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__interval__iff])])])]) ).

fof(c_0_23,plain,
    ! [X406] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X406,X406),
    inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).

fof(c_0_24,plain,
    ! [X409,X410,X411] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X411,X410)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X410,X409)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X411,X409) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])])]) ).

fof(c_0_25,plain,
    ! [X412,X413] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X413,X412)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X412,X413)
      | X413 = X412 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])])]) ).

cnf(c_0_26,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r),
    inference(split_conjunct,[status(thm)],[fact_H]) ).

cnf(c_0_32,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_34,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_36,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_r)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_37,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_38,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]) ).

fof(c_0_39,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_40,plain,
    ! [X1040,X1041,X1042] :
      ( ~ class_Rings_Ocomm__semiring__1(X1042)
      | c_Groups_Oplus__class_Oplus(X1042,X1041,X1040) = c_Groups_Oplus__class_Oplus(X1042,X1040,X1041) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])])]) ).

cnf(c_0_41,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),v_r)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

fof(c_0_42,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(fof_nnf,[status(thm)],[c_0_39]) ).

cnf(c_0_43,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_44,plain,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).

cnf(c_0_45,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_46,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_r),v_r),
    inference(spm,[status(thm)],[c_0_41,c_0_31]) ).

fof(c_0_47,plain,
    ! [X5] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5),
    inference(fof_simplification,[status(thm)],[fact_abs__add__one__not__less__self]) ).

cnf(c_0_48,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_50,plain,
    ! [X262,X263,X264] :
      ( ~ class_Rings_Olinordered__idom(X264)
      | ~ c_Orderings_Oord__class_Oless__eq(X264,c_Groups_Ozero__class_Ozero(X264),X263)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X264),c_Groups_Oabs__class_Oabs(X264,X262)),X263) = c_Groups_Oabs__class_Oabs(X264,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X264),X262),X263)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__pos])])]) ).

cnf(c_0_51,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r),v_r),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_29])]) ).

fof(c_0_52,plain,
    ! [X12,X13] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X12)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12)
        & X13 != X12 ) ),
    inference(fof_simplification,[status(thm)],[fact_real__less__def]) ).

fof(c_0_53,plain,
    ! [X258] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X258),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X258),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).

fof(c_0_54,plain,
    ! [X981,X982] :
      ( ~ class_Rings_Ocomm__semiring__1(X982)
      | c_Groups_Oplus__class_Oplus(X982,X981,c_Groups_Ozero__class_Ozero(X982)) = X981 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])])]) ).

cnf(c_0_55,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_49]) ).

cnf(c_0_56,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),X2) = c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_57,plain,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]) ).

cnf(c_0_58,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r) = v_r,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_51]),c_0_34])]) ).

fof(c_0_59,plain,
    ! [X183,X184,X185] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X185,X184)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X183,X185),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X183,X184)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__left__mono])])]) ).

fof(c_0_60,plain,
    ! [X414,X415] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X415,X414)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X415,X414) )
      & ( X415 != X414
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X415,X414) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X415,X414)
        | X415 = X414
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X415,X414) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).

fof(c_0_61,plain,
    ! [X407,X408] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X408,X407)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X407,X408) ),
    inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).

cnf(c_0_62,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_63,plain,
    ! [X500,X501] :
      ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X501,X500) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X500 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X501) )
      & ( X500 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X501)
        | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X501,X500) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__eq__0__iff])])]) ).

cnf(c_0_64,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]),c_0_58]) ).

cnf(c_0_66,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_67,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_68,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_69,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(spm,[status(thm)],[c_0_62,c_0_38]) ).

cnf(c_0_70,plain,
    ( X2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)
    | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_71,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = X1,
    inference(spm,[status(thm)],[c_0_64,c_0_44]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_74,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(rw,[status(thm)],[c_0_69,c_0_49]) ).

cnf(c_0_75,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_76,negated_conjecture,
    ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_77,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_76]),c_0_29])]) ).

cnf(c_0_79,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_38]),c_0_68]) ).

cnf(c_0_80,negated_conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(spm,[status(thm)],[c_0_78,c_0_68]) ).

cnf(c_0_81,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_79]) ).

cnf(c_0_82,negated_conjecture,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_m____) ),
    inference(spm,[status(thm)],[c_0_30,c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_m____) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_84,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),v_z____)),v_m____),
    inference(split_conjunct,[status(thm)],[fact_th]) ).

cnf(c_0_85,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),v_z____)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_86,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_78]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SWW180+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.09  % Command    : run_E %s %d SAT
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Wed Jun 19 07:38:53 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.14/0.47  Running first-order model finding
% 0.14/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.NMZTcFXDPl/E---3.1_18266.p
% 5.73/1.27  # Version: 3.2.0
% 5.73/1.27  # Preprocessing class: FMLMSMSMSSSNFFN.
% 5.73/1.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.73/1.27  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.73/1.27  # Starting new_bool_3 with 300s (1) cores
% 5.73/1.27  # Starting new_bool_1 with 300s (1) cores
% 5.73/1.27  # Starting sh5l with 300s (1) cores
% 5.73/1.27  # new_bool_1 with pid 18465 completed with status 0
% 5.73/1.27  # Result found by new_bool_1
% 5.73/1.27  # Preprocessing class: FMLMSMSMSSSNFFN.
% 5.73/1.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.73/1.27  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.73/1.27  # Starting new_bool_3 with 300s (1) cores
% 5.73/1.27  # Starting new_bool_1 with 300s (1) cores
% 5.73/1.27  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.73/1.27  # Search class: FGHSM-FSLM31-DFFFFFNN
% 5.73/1.27  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.73/1.27  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.73/1.27  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 18477 completed with status 0
% 5.73/1.27  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.73/1.27  # Preprocessing class: FMLMSMSMSSSNFFN.
% 5.73/1.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.73/1.27  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.73/1.27  # Starting new_bool_3 with 300s (1) cores
% 5.73/1.27  # Starting new_bool_1 with 300s (1) cores
% 5.73/1.27  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.73/1.27  # Search class: FGHSM-FSLM31-DFFFFFNN
% 5.73/1.27  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.73/1.27  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.73/1.27  # Preprocessing time       : 0.007 s
% 5.73/1.27  # Presaturation interreduction done
% 5.73/1.27  
% 5.73/1.27  # Proof found!
% 5.73/1.27  # SZS status Theorem
% 5.73/1.27  # SZS output start CNFRefutation
% See solution above
% 5.73/1.27  # Parsed axioms                        : 1275
% 5.73/1.27  # Removed by relevancy pruning/SinE    : 784
% 5.73/1.27  # Initial clauses                      : 684
% 5.73/1.27  # Removed in clause preprocessing      : 35
% 5.73/1.27  # Initial clauses in saturation        : 649
% 5.73/1.27  # Processed clauses                    : 9637
% 5.73/1.27  # ...of these trivial                  : 122
% 5.73/1.27  # ...subsumed                          : 6938
% 5.73/1.27  # ...remaining for further processing  : 2577
% 5.73/1.27  # Other redundant clauses eliminated   : 320
% 5.73/1.27  # Clauses deleted for lack of memory   : 0
% 5.73/1.27  # Backward-subsumed                    : 104
% 5.73/1.27  # Backward-rewritten                   : 271
% 5.73/1.27  # Generated clauses                    : 54787
% 5.73/1.27  # ...of the previous two non-redundant : 46489
% 5.73/1.27  # ...aggressively subsumed             : 0
% 5.73/1.27  # Contextual simplify-reflections      : 29
% 5.73/1.27  # Paramodulations                      : 54453
% 5.73/1.27  # Factorizations                       : 12
% 5.73/1.27  # NegExts                              : 0
% 5.73/1.27  # Equation resolutions                 : 332
% 5.73/1.27  # Disequality decompositions           : 0
% 5.73/1.27  # Total rewrite steps                  : 52821
% 5.73/1.27  # ...of those cached                   : 49763
% 5.73/1.27  # Propositional unsat checks           : 0
% 5.73/1.27  #    Propositional check models        : 0
% 5.73/1.27  #    Propositional check unsatisfiable : 0
% 5.73/1.27  #    Propositional clauses             : 0
% 5.73/1.27  #    Propositional clauses after purity: 0
% 5.73/1.27  #    Propositional unsat core size     : 0
% 5.73/1.27  #    Propositional preprocessing time  : 0.000
% 5.73/1.27  #    Propositional encoding time       : 0.000
% 5.73/1.27  #    Propositional solver time         : 0.000
% 5.73/1.27  #    Success case prop preproc time    : 0.000
% 5.73/1.27  #    Success case prop encoding time   : 0.000
% 5.73/1.27  #    Success case prop solver time     : 0.000
% 5.73/1.27  # Current number of processed clauses  : 1638
% 5.73/1.27  #    Positive orientable unit clauses  : 327
% 5.73/1.27  #    Positive unorientable unit clauses: 17
% 5.73/1.27  #    Negative unit clauses             : 234
% 5.73/1.27  #    Non-unit-clauses                  : 1060
% 5.73/1.27  # Current number of unprocessed clauses: 37565
% 5.73/1.27  # ...number of literals in the above   : 87064
% 5.73/1.27  # Current number of archived formulas  : 0
% 5.73/1.27  # Current number of archived clauses   : 869
% 5.73/1.27  # Clause-clause subsumption calls (NU) : 229350
% 5.73/1.27  # Rec. Clause-clause subsumption calls : 151218
% 5.73/1.27  # Non-unit clause-clause subsumptions  : 3561
% 5.73/1.27  # Unit Clause-clause subsumption calls : 8749
% 5.73/1.27  # Rewrite failures with RHS unbound    : 0
% 5.73/1.27  # BW rewrite match attempts            : 4946
% 5.73/1.27  # BW rewrite match successes           : 354
% 5.73/1.27  # Condensation attempts                : 0
% 5.73/1.27  # Condensation successes               : 0
% 5.73/1.27  # Termbank termtop insertions          : 1063146
% 5.73/1.27  # Search garbage collected termcells   : 12243
% 5.73/1.27  
% 5.73/1.27  # -------------------------------------------------
% 5.73/1.27  # User time                : 0.719 s
% 5.73/1.27  # System time              : 0.025 s
% 5.73/1.27  # Total time               : 0.744 s
% 5.73/1.27  # Maximum resident set size: 4828 pages
% 5.73/1.27  
% 5.73/1.27  # -------------------------------------------------
% 5.73/1.27  # User time                : 0.738 s
% 5.73/1.27  # System time              : 0.030 s
% 5.73/1.27  # Total time               : 0.768 s
% 5.73/1.27  # Maximum resident set size: 3112 pages
% 5.73/1.27  % E---3.1 exiting
% 5.73/1.27  % E exiting
%------------------------------------------------------------------------------