TSTP Solution File: SWW226+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW226+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:10:48 EDT 2023

% Result   : Theorem 528.07s 67.61s
% Output   : CNFRefutation 528.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   83 (  63 unt;   0 def)
%            Number of atoms       :  115 (  56 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   62 (  30   ~;  23   |;   1   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-3 aty)
%            Number of variables   :  102 (   5 sgn;  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',conj_0) ).

fof(fact_Bit0__def,axiom,
    ! [X16] : c_Int_OBit0(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X16),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_Bit0__def) ).

fof(fact_Suc__eq__plus1,axiom,
    ! [X28] : c_Nat_OSuc(X28) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X28,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_Suc__eq__plus1) ).

fof(fact_Bit1__def,axiom,
    ! [X16] : c_Int_OBit1(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X16),X16),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_Bit1__def) ).

fof(fact_add__Pls__right,axiom,
    ! [X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,c_Int_OPls) = X16,
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_add__Pls__right) ).

fof(fact_real__of__nat__Suc,axiom,
    ! [X28] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X28)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X28),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_real__of__nat__Suc) ).

fof(fact_one__add__one__is__two,axiom,
    ! [X5] :
      ( class_Int_Onumber__ring(X5)
     => c_Groups_Oplus__class_Oplus(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Oone__class_Oone(X5)) = c_Int_Onumber__class_Onumber__of(X5,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_one__add__one__is__two) ).

fof(fact_Pls__def,axiom,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_Pls__def) ).

fof(fact_real__norm__def,axiom,
    ! [X15] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X15) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X15),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_real__norm__def) ).

fof(fact_equation__minus__iff,axiom,
    ! [X45,X9,X5] :
      ( class_Groups_Ogroup__add(X5)
     => ( X9 = c_Groups_Ouminus__class_Ouminus(X5,X45)
      <=> X45 = c_Groups_Ouminus__class_Ouminus(X5,X9) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_equation__minus__iff) ).

fof(fact_abs__add__one__gt__zero,axiom,
    ! [X7] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X7))),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_abs__add__one__gt__zero) ).

fof(fact_abs__real__of__nat__cancel,axiom,
    ! [X7] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X7)) = c_RealDef_Oreal(tc_Nat_Onat,X7),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_abs__real__of__nat__cancel) ).

fof(fact_real__diff__def,axiom,
    ! [X13,X15] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X15,X13) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X15,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13)),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_real__diff__def) ).

fof(fact_real__of__nat__add,axiom,
    ! [X28,X40] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X40,X28)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X40),c_RealDef_Oreal(tc_Nat_Onat,X28)),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_real__of__nat__add) ).

fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',arity_RealDef__Oreal__Int_Onumber__ring) ).

fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
    ! [X26,X6,X5] :
      ( class_Rings_Ocomm__semiring__1(X5)
     => c_Groups_Oplus__class_Oplus(X5,X6,X26) = c_Groups_Oplus__class_Oplus(X5,X26,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(fact_pos__add__strict,axiom,
    ! [X26,X12,X6,X5] :
      ( class_Rings_Olinordered__semidom(X5)
     => ( c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X6)
       => ( c_Orderings_Oord__class_Oless(X5,X12,X26)
         => c_Orderings_Oord__class_Oless(X5,X12,c_Groups_Oplus__class_Oplus(X5,X6,X26)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_pos__add__strict) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
    ! [X38,X26,X6,X5] :
      ( class_Rings_Ocomm__semiring__1(X5)
     => c_Groups_Oplus__class_Oplus(X5,X6,c_Groups_Oplus__class_Oplus(X5,X26,X38)) = c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X6,X26),X38) ),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).

fof(fact_N2,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',fact_N2) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).

fof(c_0_22,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_23,plain,
    ! [X120] : c_Int_OBit0(X120) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X120,X120),
    inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).

fof(c_0_24,plain,
    ! [X619] : c_Nat_OSuc(X619) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X619,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).

fof(c_0_25,plain,
    ! [X629] : c_Int_OBit1(X629) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X629),X629),
    inference(variable_rename,[status(thm)],[fact_Bit1__def]) ).

fof(c_0_26,plain,
    ! [X116] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X116,c_Int_OPls) = X116,
    inference(variable_rename,[status(thm)],[fact_add__Pls__right]) ).

fof(c_0_27,plain,
    ! [X304] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X304)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X304),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc]) ).

fof(c_0_28,plain,
    ! [X328] :
      ( ~ class_Int_Onumber__ring(X328)
      | c_Groups_Oplus__class_Oplus(X328,c_Groups_Oone__class_Oone(X328),c_Groups_Oone__class_Oone(X328)) = c_Int_Onumber__class_Onumber__of(X328,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__add__one__is__two])]) ).

cnf(c_0_29,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    c_Int_OBit0(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,plain,
    c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,plain,
    c_Int_OBit1(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).

fof(c_0_35,plain,
    ! [X131] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X131) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X131),
    inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).

cnf(c_0_36,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_38,plain,
    ! [X698,X699,X700] :
      ( ( X699 != c_Groups_Ouminus__class_Ouminus(X700,X698)
        | X698 = c_Groups_Ouminus__class_Ouminus(X700,X699)
        | ~ class_Groups_Ogroup__add(X700) )
      & ( X698 != c_Groups_Ouminus__class_Ouminus(X700,X699)
        | X699 = c_Groups_Ouminus__class_Ouminus(X700,X698)
        | ~ class_Groups_Ogroup__add(X700) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equation__minus__iff])])]) ).

fof(c_0_39,plain,
    ! [X312] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X312))),
    inference(variable_rename,[status(thm)],[fact_abs__add__one__gt__zero]) ).

fof(c_0_40,plain,
    ! [X338] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X338)) = c_RealDef_Oreal(tc_Nat_Onat,X338),
    inference(variable_rename,[status(thm)],[fact_abs__real__of__nat__cancel]) ).

cnf(c_0_41,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_32]) ).

cnf(c_0_42,plain,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X1,
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_43,plain,
    c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[c_0_36,c_0_31]) ).

fof(c_0_45,plain,
    ! [X352,X353] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X353,X352) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X353,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X352)),
    inference(variable_rename,[status(thm)],[fact_real__diff__def]) ).

fof(c_0_46,plain,
    ! [X350,X351] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X351,X350)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X351),c_RealDef_Oreal(tc_Nat_Onat,X350)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__add]) ).

cnf(c_0_47,plain,
    ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_30]),c_0_32]),c_0_32]) ).

cnf(c_0_48,plain,
    ( X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
    | X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Groups_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_49,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_50,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)) = c_RealDef_Oreal(tc_Nat_Onat,X1),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_51,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_52,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1))
    | ~ class_Int_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_34]),c_0_42]) ).

cnf(c_0_55,plain,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).

cnf(c_0_56,plain,
    ( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_57,plain,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).

fof(c_0_58,plain,
    ! [X2446,X2447,X2448] :
      ( ~ class_Rings_Ocomm__semiring__1(X2448)
      | c_Groups_Oplus__class_Oplus(X2448,X2447,X2446) = c_Groups_Oplus__class_Oplus(X2448,X2446,X2447) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).

fof(c_0_59,plain,
    ! [X2158,X2159,X2160,X2161] :
      ( ~ class_Rings_Olinordered__semidom(X2161)
      | ~ c_Orderings_Oord__class_Oless(X2161,c_Groups_Ozero__class_Ozero(X2161),X2160)
      | ~ c_Orderings_Oord__class_Oless(X2161,X2159,X2158)
      | c_Orderings_Oord__class_Oless(X2161,X2159,c_Groups_Oplus__class_Oplus(X2161,X2160,X2158)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__add__strict])]) ).

cnf(c_0_60,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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_RealDef_Oreal,X1))),
    inference(rw,[status(thm)],[c_0_49,c_0_43]) ).

cnf(c_0_61,plain,
    c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)) = c_RealDef_Oreal(tc_Nat_Onat,X1),
    inference(rw,[status(thm)],[c_0_50,c_0_43]) ).

fof(c_0_62,plain,
    ! [X2438,X2439,X2440,X2441] :
      ( ~ class_Rings_Ocomm__semiring__1(X2441)
      | c_Groups_Oplus__class_Oplus(X2441,X2440,c_Groups_Oplus__class_Oplus(X2441,X2439,X2438)) = c_Groups_Oplus__class_Oplus(X2441,c_Groups_Oplus__class_Oplus(X2441,X2440,X2439),X2438) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J])]) ).

cnf(c_0_63,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
    inference(split_conjunct,[status(thm)],[fact_N2]) ).

cnf(c_0_64,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N1____),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_65,plain,
    c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_66,plain,
    c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = X1,
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_67,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_58]) ).

cnf(c_0_68,plain,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).

cnf(c_0_69,plain,
    ( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_70,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1))),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_71,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]) ).

cnf(c_0_72,plain,
    ( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_30]),c_0_32]),c_0_32]) ).

cnf(c_0_74,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),v_s____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N1____),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_75,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_67,c_0_68]) ).

cnf(c_0_76,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,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_RealDef_Oreal(tc_Nat_Onat,X2)),X3))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_77,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X3)),
    inference(spm,[status(thm)],[c_0_72,c_0_68]) ).

cnf(c_0_78,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))))),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_34]),c_0_42]),c_0_43]),c_0_52]) ).

cnf(c_0_79,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N1____),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_75]) ).

cnf(c_0_80,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),X3)))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3) ),
    inference(rw,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_65]),c_0_66]),c_0_75]) ).

cnf(c_0_82,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWW226+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n028.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 23:00:52 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.52  Running first-order model finding
% 0.15/0.52  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.TeVOlVw0X1/E---3.1_21338.p
% 528.07/67.61  # Version: 3.1pre001
% 528.07/67.61  # Preprocessing class: FMLMSMSMSSSNFFN.
% 528.07/67.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 528.07/67.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 528.07/67.61  # Starting new_bool_3 with 300s (1) cores
% 528.07/67.61  # Starting new_bool_1 with 300s (1) cores
% 528.07/67.61  # Starting sh5l with 300s (1) cores
% 528.07/67.61  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21415 completed with status 0
% 528.07/67.61  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 528.07/67.61  # Preprocessing class: FMLMSMSMSSSNFFN.
% 528.07/67.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 528.07/67.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 528.07/67.61  # No SInE strategy applied
% 528.07/67.61  # Search class: FGHSM-SMLM31-DFFFFFNN
% 528.07/67.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 528.07/67.61  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 866s (1) cores
% 528.07/67.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 528.07/67.61  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 528.07/67.61  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 528.07/67.61  # Starting U----_213g_00_B10_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 528.07/67.61  # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 21424 completed with status 0
% 528.07/67.61  # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 528.07/67.61  # Preprocessing class: FMLMSMSMSSSNFFN.
% 528.07/67.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 528.07/67.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 528.07/67.61  # No SInE strategy applied
% 528.07/67.61  # Search class: FGHSM-SMLM31-DFFFFFNN
% 528.07/67.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 528.07/67.61  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 866s (1) cores
% 528.07/67.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 528.07/67.61  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 528.07/67.61  # Preprocessing time       : 0.021 s
% 528.07/67.61  # Presaturation interreduction done
% 528.07/67.61  
% 528.07/67.61  # Proof found!
% 528.07/67.61  # SZS status Theorem
% 528.07/67.61  # SZS output start CNFRefutation
% See solution above
% 528.07/67.61  # Parsed axioms                        : 1185
% 528.07/67.61  # Removed by relevancy pruning/SinE    : 0
% 528.07/67.61  # Initial clauses                      : 1761
% 528.07/67.61  # Removed in clause preprocessing      : 80
% 528.07/67.61  # Initial clauses in saturation        : 1681
% 528.07/67.61  # Processed clauses                    : 132248
% 528.07/67.61  # ...of these trivial                  : 818
% 528.07/67.61  # ...subsumed                          : 115522
% 528.07/67.61  # ...remaining for further processing  : 15908
% 528.07/67.61  # Other redundant clauses eliminated   : 17951
% 528.07/67.61  # Clauses deleted for lack of memory   : 0
% 528.07/67.61  # Backward-subsumed                    : 961
% 528.07/67.61  # Backward-rewritten                   : 968
% 528.07/67.61  # Generated clauses                    : 1948941
% 528.07/67.61  # ...of the previous two non-redundant : 1838364
% 528.07/67.61  # ...aggressively subsumed             : 0
% 528.07/67.61  # Contextual simplify-reflections      : 242
% 528.07/67.61  # Paramodulations                      : 1930876
% 528.07/67.61  # Factorizations                       : 54
% 528.07/67.61  # NegExts                              : 0
% 528.07/67.61  # Equation resolutions                 : 18033
% 528.07/67.61  # Total rewrite steps                  : 2303371
% 528.07/67.61  # Propositional unsat checks           : 3
% 528.07/67.61  #    Propositional check models        : 0
% 528.07/67.61  #    Propositional check unsatisfiable : 0
% 528.07/67.61  #    Propositional clauses             : 0
% 528.07/67.61  #    Propositional clauses after purity: 0
% 528.07/67.61  #    Propositional unsat core size     : 0
% 528.07/67.61  #    Propositional preprocessing time  : 0.000
% 528.07/67.61  #    Propositional encoding time       : 6.540
% 528.07/67.61  #    Propositional solver time         : 3.332
% 528.07/67.61  #    Success case prop preproc time    : 0.000
% 528.07/67.61  #    Success case prop encoding time   : 0.000
% 528.07/67.61  #    Success case prop solver time     : 0.000
% 528.07/67.61  # Current number of processed clauses  : 12563
% 528.07/67.61  #    Positive orientable unit clauses  : 1062
% 528.07/67.61  #    Positive unorientable unit clauses: 92
% 528.07/67.61  #    Negative unit clauses             : 1962
% 528.07/67.61  #    Non-unit-clauses                  : 9447
% 528.07/67.61  # Current number of unprocessed clauses: 1704565
% 528.07/67.61  # ...number of literals in the above   : 4868440
% 528.07/67.61  # Current number of archived formulas  : 0
% 528.07/67.61  # Current number of archived clauses   : 3216
% 528.07/67.61  # Clause-clause subsumption calls (NU) : 11170284
% 528.07/67.61  # Rec. Clause-clause subsumption calls : 6722522
% 528.07/67.61  # Non-unit clause-clause subsumptions  : 40848
% 528.07/67.61  # Unit Clause-clause subsumption calls : 591678
% 528.07/67.61  # Rewrite failures with RHS unbound    : 99
% 528.07/67.61  # BW rewrite match attempts            : 97954
% 528.07/67.61  # BW rewrite match successes           : 1669
% 528.07/67.61  # Condensation attempts                : 0
% 528.07/67.61  # Condensation successes               : 0
% 528.07/67.61  # Termbank termtop insertions          : 70671376
% 528.07/67.61  
% 528.07/67.61  # -------------------------------------------------
% 528.07/67.61  # User time                : 63.641 s
% 528.07/67.61  # System time              : 1.597 s
% 528.07/67.61  # Total time               : 65.238 s
% 528.07/67.61  # Maximum resident set size: 7960 pages
% 528.07/67.61  
% 528.07/67.61  # -------------------------------------------------
% 528.07/67.61  # User time                : 320.734 s
% 528.07/67.61  # System time              : 7.942 s
% 528.07/67.61  # Total time               : 328.676 s
% 528.07/67.61  # Maximum resident set size: 3012 pages
% 528.07/67.61  % E---3.1 exiting
%------------------------------------------------------------------------------