TSTP Solution File: SWW275+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW275+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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  : 600s
% DateTime : Thu Jul 21 00:10:27 EDT 2022

% Result   : Theorem 0.34s 1.52s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  12 unt;   0 def)
%            Number of atoms       :   64 (  18 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   61 (  28   ~;  21   |;   6   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   6 con; 0-3 aty)
%            Number of variables   :   37 (   2 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    ( ( v_r____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_na____) )
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).

fof(fact_one__poly__def,axiom,
    ! [X8] :
      ( class_Rings_Ocomm__semiring__1(X8)
     => c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X8)) = c_Polynomial_OpCons(X8,c_Groups_Oone__class_Oone(X8),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_one__poly__def) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).

fof(fact_power__add,axiom,
    ! [X6,X9,X4,X8] :
      ( class_Groups_Omonoid__mult(X8)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X8),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X9,X6)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X8),hAPP(hAPP(c_Power_Opower__class_Opower(X8),X4),X9)),hAPP(hAPP(c_Power_Opower__class_Opower(X8),X4),X6)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_power__add) ).

fof(fact_less__le__not__le,axiom,
    ! [X10,X11,X8] :
      ( class_Orderings_Opreorder(X8)
     => ( c_Orderings_Oord__class_Oless(X8,X11,X10)
      <=> ( c_Orderings_Oord__class_Oless__eq(X8,X11,X10)
          & ~ c_Orderings_Oord__class_Oless__eq(X8,X10,X11) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_less__le__not__le) ).

fof(fact_oop,axiom,
    ! [X4] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,X4,v_pa____),v_na____),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_oop) ).

fof(fact_add__diff__inverse,axiom,
    ! [X6,X9] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X9,X6)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X6,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X9,X6)) = X9 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_add__diff__inverse) ).

fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_Nat_Onat),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_Nat__Onat__Orderings_Opreorder) ).

fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
    ! [X92] :
      ( class_Rings_Ocomm__semiring__1(X92)
     => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X92)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_Polynomial__Opoly__Groups_Omonoid__mult) ).

fof(c_0_9,negated_conjecture,
    ~ ( ( v_r____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
        & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_na____) )
      | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_10,negated_conjecture,
    ( ( v_r____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_na____) )
    & hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) ),
    inference(fof_nnf,[status(thm)],[c_0_9]) ).

fof(c_0_11,plain,
    ! [X9] :
      ( ~ class_Rings_Ocomm__semiring__1(X9)
      | c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X9)) = c_Polynomial_OpCons(X9,c_Groups_Oone__class_Oone(X9),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__poly__def])]) ).

cnf(c_0_12,negated_conjecture,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    ( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)) = c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).

fof(c_0_15,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Groups_Omonoid__mult(X13)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X13),X12),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,X10)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),hAPP(hAPP(c_Power_Opower__class_Opower(X13),X12),X11)),hAPP(hAPP(c_Power_Opower__class_Opower(X13),X12),X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__add])]) ).

fof(c_0_16,plain,
    ! [X12,X13,X14] :
      ( ( c_Orderings_Oord__class_Oless__eq(X14,X13,X12)
        | ~ c_Orderings_Oord__class_Oless(X14,X13,X12)
        | ~ class_Orderings_Opreorder(X14) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X14,X12,X13)
        | ~ c_Orderings_Oord__class_Oless(X14,X13,X12)
        | ~ class_Orderings_Opreorder(X14) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X14,X13,X12)
        | c_Orderings_Oord__class_Oless__eq(X14,X12,X13)
        | c_Orderings_Oord__class_Oless(X14,X13,X12)
        | ~ class_Orderings_Opreorder(X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_less__le__not__le])])])]) ).

fof(c_0_17,plain,
    ! [X5] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,X5,v_pa____),v_na____),
    inference(variable_rename,[status(thm)],[fact_oop]) ).

cnf(c_0_18,negated_conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),v_na____),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_19,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_20,plain,
    ! [X10,X11] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X11,X10)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X10,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X11,X10)) = X11 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_add__diff__inverse])])]) ).

cnf(c_0_21,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,X1,v_pa____),v_na____),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    class_Orderings_Opreorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Opreorder]) ).

cnf(c_0_24,negated_conjecture,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),v_na____)
    | ~ class_Groups_Omonoid__mult(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,X1,v_pa____)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

fof(c_0_27,plain,
    ! [X93] :
      ( ~ class_Rings_Ocomm__semiring__1(X93)
      | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__mult])]) ).

cnf(c_0_28,negated_conjecture,
    ~ class_Groups_Omonoid__mult(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_29,plain,
    ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW275+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 15:51:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.34/1.52  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.34/1.52  # Preprocessing time       : 0.143 s
% 0.34/1.52  
% 0.34/1.52  # Proof found!
% 0.34/1.52  # SZS status Theorem
% 0.34/1.52  # SZS output start CNFRefutation
% See solution above
% 0.34/1.52  # Proof object total steps             : 31
% 0.34/1.52  # Proof object clause steps            : 14
% 0.34/1.52  # Proof object formula steps           : 17
% 0.34/1.52  # Proof object conjectures             : 8
% 0.34/1.52  # Proof object clause conjectures      : 5
% 0.34/1.52  # Proof object formula conjectures     : 3
% 0.34/1.52  # Proof object initial clauses used    : 9
% 0.34/1.52  # Proof object initial formulas used   : 9
% 0.34/1.52  # Proof object generating inferences   : 5
% 0.34/1.52  # Proof object simplifying inferences  : 7
% 0.34/1.52  # Training examples: 0 positive, 0 negative
% 0.34/1.52  # Parsed axioms                        : 1214
% 0.34/1.52  # Removed by relevancy pruning/SinE    : 0
% 0.34/1.52  # Initial clauses                      : 1667
% 0.34/1.52  # Removed in clause preprocessing      : 74
% 0.34/1.52  # Initial clauses in saturation        : 1593
% 0.34/1.52  # Processed clauses                    : 2212
% 0.34/1.52  # ...of these trivial                  : 55
% 0.34/1.52  # ...subsumed                          : 632
% 0.34/1.52  # ...remaining for further processing  : 1525
% 0.34/1.52  # Other redundant clauses eliminated   : 192
% 0.34/1.52  # Clauses deleted for lack of memory   : 0
% 0.34/1.52  # Backward-subsumed                    : 11
% 0.34/1.52  # Backward-rewritten                   : 35
% 0.34/1.52  # Generated clauses                    : 41694
% 0.34/1.52  # ...of the previous two non-trivial   : 38535
% 0.34/1.52  # Contextual simplify-reflections      : 79
% 0.34/1.52  # Paramodulations                      : 41450
% 0.34/1.52  # Factorizations                       : 8
% 0.34/1.52  # Equation resolutions                 : 236
% 0.34/1.52  # Current number of processed clauses  : 1438
% 0.34/1.52  #    Positive orientable unit clauses  : 255
% 0.34/1.52  #    Positive unorientable unit clauses: 9
% 0.34/1.52  #    Negative unit clauses             : 38
% 0.34/1.52  #    Non-unit-clauses                  : 1136
% 0.34/1.52  # Current number of unprocessed clauses: 37157
% 0.34/1.52  # ...number of literals in the above   : 126563
% 0.34/1.52  # Current number of archived formulas  : 0
% 0.34/1.52  # Current number of archived clauses   : 47
% 0.34/1.52  # Clause-clause subsumption calls (NU) : 193953
% 0.34/1.52  # Rec. Clause-clause subsumption calls : 115784
% 0.34/1.52  # Non-unit clause-clause subsumptions  : 373
% 0.34/1.52  # Unit Clause-clause subsumption calls : 6112
% 0.34/1.52  # Rewrite failures with RHS unbound    : 0
% 0.34/1.52  # BW rewrite match attempts            : 949
% 0.34/1.52  # BW rewrite match successes           : 119
% 0.34/1.52  # Condensation attempts                : 0
% 0.34/1.52  # Condensation successes               : 0
% 0.34/1.52  # Termbank termtop insertions          : 1096032
% 0.34/1.52  
% 0.34/1.52  # -------------------------------------------------
% 0.34/1.52  # User time                : 0.701 s
% 0.34/1.52  # System time              : 0.022 s
% 0.34/1.52  # Total time               : 0.723 s
% 0.34/1.52  # Maximum resident set size: 44396 pages
% 0.34/23.51  eprover: CPU time limit exceeded, terminating
% 0.34/23.52  eprover: CPU time limit exceeded, terminating
% 0.34/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.53  eprover: No such file or directory
% 0.34/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.53  eprover: No such file or directory
% 0.34/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.53  eprover: No such file or directory
% 0.34/23.54  eprover: CPU time limit exceeded, terminating
% 0.34/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.54  eprover: No such file or directory
% 0.34/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.54  eprover: No such file or directory
% 0.34/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.54  eprover: No such file or directory
% 0.34/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.54  eprover: No such file or directory
% 0.34/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.55  eprover: No such file or directory
% 0.34/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.55  eprover: No such file or directory
% 0.34/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.55  eprover: No such file or directory
% 0.34/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.55  eprover: No such file or directory
% 0.34/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.55  eprover: No such file or directory
% 0.34/23.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.55  eprover: No such file or directory
% 0.34/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.56  eprover: No such file or directory
% 0.34/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.56  eprover: No such file or directory
% 0.34/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.56  eprover: No such file or directory
% 0.34/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.56  eprover: No such file or directory
% 0.34/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.56  eprover: No such file or directory
% 0.34/23.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.56  eprover: No such file or directory
% 0.34/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.57  eprover: No such file or directory
% 0.34/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.57  eprover: No such file or directory
% 0.34/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.57  eprover: No such file or directory
% 0.34/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.57  eprover: No such file or directory
% 0.34/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.57  eprover: No such file or directory
% 0.34/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/23.57  eprover: No such file or directory
% 0.34/23.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.57  eprover: No such file or directory
% 0.34/23.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.58  eprover: No such file or directory
% 0.34/23.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.58  eprover: No such file or directory
% 0.34/23.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.58  eprover: No such file or directory
% 0.34/23.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.59  eprover: No such file or directory
% 0.34/23.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.59  eprover: No such file or directory
% 0.34/23.60  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.60  eprover: No such file or directory
% 0.34/23.60  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.60  eprover: No such file or directory
%------------------------------------------------------------------------------