TSTP Solution File: SWW256+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 20:10:52 EDT 2023

% Result   : Theorem 59.03s 7.44s
% Output   : CNFRefutation 59.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   99 (  54 unt;   0 def)
%            Number of atoms       :  166 (  87 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  127 (  60   ~;  45   |;   6   &)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   4 con; 0-3 aty)
%            Number of variables   :  164 (  23 sgn;  84   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    ? [X3,X81] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X3),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X81),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X81),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',conj_0) ).

fof(fact_Suc__eq__plus1,axiom,
    ! [X4] : c_Nat_OSuc(X4) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_Suc__eq__plus1) ).

fof(fact_less__iff__Suc__add,axiom,
    ! [X9,X14] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X9)
    <=> ? [X53] : X9 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X53)) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_less__iff__Suc__add) ).

fof(fact_Zero__neq__Suc,axiom,
    ! [X11] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X11),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_Zero__neq__Suc) ).

fof(fact_plus__nat_Oadd__0,axiom,
    ! [X4] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4) = X4,
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_plus__nat_Oadd__0) ).

fof(fact_zero__less__diff,axiom,
    ! [X14,X9] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X9,X14))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_zero__less__diff) ).

fof(fact_gr0I,axiom,
    ! [X4] :
      ( X4 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_gr0I) ).

fof(fact_power__0,axiom,
    ! [X5,X6] :
      ( class_Power_Opower(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_power__0) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
    ! [X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),c_Groups_Oone__class_Oone(X6)) = X5 ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).

fof(fact_add__is__0,axiom,
    ! [X9,X14] :
      ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X9) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> ( X14 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        & X9 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_add__is__0) ).

fof(fact_nat__add__assoc,axiom,
    ! [X12,X4,X11] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,X4),X12) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X12)),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_nat__add__assoc) ).

fof(fact_nat__add__commute,axiom,
    ! [X4,X11] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,X4) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X11),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_nat__add__commute) ).

fof(fact_inverse__nonzero__iff__nonzero,axiom,
    ! [X10,X6] :
      ( class_Rings_Odivision__ring__inverse__zero(X6)
     => ( c_Rings_Oinverse__class_Oinverse(X6,X10) = c_Groups_Ozero__class_Ozero(X6)
      <=> X10 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_inverse__nonzero__iff__nonzero) ).

fof(arity_Complex__Ocomplex__Power_Opower,axiom,
    class_Power_Opower(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',arity_Complex__Ocomplex__Power_Opower) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).

fof(fact_inverse__i,axiom,
    c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_inverse__i) ).

fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
    class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero) ).

fof(fact_complex__i__not__zero,axiom,
    c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_complex__i__not__zero) ).

fof(fact_dvd__mult__left,axiom,
    ! [X34,X21,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => ( c_Rings_Odvd__class_Odvd(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X21),X34)
       => c_Rings_Odvd__class_Odvd(X6,X5,X34) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_dvd__mult__left) ).

fof(fact_power__one,axiom,
    ! [X4,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),c_Groups_Oone__class_Oone(X6)),X4) = c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_power__one) ).

fof(fact_dvd__triv__right,axiom,
    ! [X21,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => c_Rings_Odvd__class_Odvd(X6,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X21),X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_dvd__triv__right) ).

fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
    class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',arity_Complex__Ocomplex__Groups_Omonoid__mult) ).

fof(fact_add__diff__inverse,axiom,
    ! [X4,X11] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X11,X4)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X11,X4)) = X11 ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_add__diff__inverse) ).

fof(fact_diff__mult__distrib,axiom,
    ! [X12,X4,X11] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X11,X4)),X12) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11),X12),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X12)),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_diff__mult__distrib) ).

fof(fact_dvd__0__left,axiom,
    ! [X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => ( c_Rings_Odvd__class_Odvd(X6,c_Groups_Ozero__class_Ozero(X6),X5)
       => X5 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_dvd__0__left) ).

fof(fact_less__irrefl__nat,axiom,
    ! [X4] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X4),
    file('/export/starexec/sandbox/tmp/tmp.tPLGdyXQPQ/E---3.1_17753.p',fact_less__irrefl__nat) ).

fof(c_0_26,negated_conjecture,
    ~ ? [X3,X81] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X3),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X81),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X81),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_27,negated_conjecture,
    ! [X2945,X2946] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2945),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2945),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2946),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2946),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).

fof(c_0_28,plain,
    ! [X688] : c_Nat_OSuc(X688) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X688,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).

fof(c_0_29,plain,
    ! [X667,X668,X670,X671,X672] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X668,X667)
        | X667 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X668,esk3_2(X667,X668))) )
      & ( X670 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X671,X672))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X671,X670) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__iff__Suc__add])])])])]) ).

fof(c_0_30,plain,
    ! [X217] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X217),
    inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).

cnf(c_0_31,negated_conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,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_28]) ).

fof(c_0_33,plain,
    ! [X1030] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1030) = X1030,
    inference(variable_rename,[status(thm)],[fact_plus__nat_Oadd__0]) ).

fof(c_0_34,plain,
    ! [X1388,X1389] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1389,X1388))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1388,X1389) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1388,X1389)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1389,X1388)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__diff])]) ).

fof(c_0_35,plain,
    ! [X1039] :
      ( X1039 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1039) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr0I])]) ).

fof(c_0_36,plain,
    ! [X1353,X1354] :
      ( ~ class_Power_Opower(X1354)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X1354),X1353),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1354) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0])]) ).

fof(c_0_37,plain,
    ! [X1008,X1009] :
      ( ~ class_Rings_Ocomm__semiring__1(X1009)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1009),X1008),c_Groups_Oone__class_Oone(X1009)) = X1008 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])]) ).

fof(c_0_38,plain,
    ! [X1027,X1028] :
      ( ( X1028 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1028,X1027) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X1027 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1028,X1027) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X1028 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X1027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1028,X1027) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__is__0])])]) ).

fof(c_0_39,plain,
    ! [X1490,X1491,X1492] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1492,X1491),X1490) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1492,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1491,X1490)),
    inference(variable_rename,[status(thm)],[fact_nat__add__assoc]) ).

cnf(c_0_40,plain,
    ( X2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk3_2(X2,X1)))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_41,plain,
    ! [X1496,X1497] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1497,X1496) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1496,X1497),
    inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).

cnf(c_0_42,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_43,plain,
    ! [X2279,X2280] :
      ( ( c_Rings_Oinverse__class_Oinverse(X2280,X2279) != c_Groups_Ozero__class_Ozero(X2280)
        | X2279 = c_Groups_Ozero__class_Ozero(X2280)
        | ~ class_Rings_Odivision__ring__inverse__zero(X2280) )
      & ( X2279 != c_Groups_Ozero__class_Ozero(X2280)
        | c_Rings_Oinverse__class_Oinverse(X2280,X2279) = c_Groups_Ozero__class_Ozero(X2280)
        | ~ class_Rings_Odivision__ring__inverse__zero(X2280) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__nonzero__iff__nonzero])])]) ).

cnf(c_0_44,negated_conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).

cnf(c_0_45,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_46,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_47,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_48,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Power_Opower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_49,plain,
    class_Power_Opower(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Power_Opower]) ).

cnf(c_0_50,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_51,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).

cnf(c_0_52,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_53,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_54,plain,
    ( X2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk3_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[c_0_40,c_0_32]) ).

cnf(c_0_55,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_56,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[c_0_42,c_0_32]) ).

cnf(c_0_57,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Rings_Oinverse__class_Oinverse(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_58,plain,
    c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii),
    inference(split_conjunct,[status(thm)],[fact_inverse__i]) ).

cnf(c_0_59,plain,
    class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero]) ).

cnf(c_0_60,plain,
    c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[fact_complex__i__not__zero]) ).

cnf(c_0_61,negated_conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_45]) ).

cnf(c_0_62,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_63,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_64,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = X1,
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_65,plain,
    ! [X2815,X2816,X2817,X2818] :
      ( ~ class_Rings_Ocomm__semiring__1(X2818)
      | ~ c_Rings_Odvd__class_Odvd(X2818,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2818),X2817),X2816),X2815)
      | c_Rings_Odvd__class_Odvd(X2818,X2817,X2815) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__left])]) ).

fof(c_0_66,plain,
    ! [X1037,X1038] :
      ( ~ class_Groups_Omonoid__mult(X1038)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X1038),c_Groups_Oone__class_Oone(X1038)),X1037) = c_Groups_Oone__class_Oone(X1038) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one])]) ).

fof(c_0_67,plain,
    ! [X2836,X2837,X2838] :
      ( ~ class_Rings_Ocomm__semiring__1(X2838)
      | c_Rings_Odvd__class_Odvd(X2838,X2837,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2838),X2836),X2837)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__triv__right])]) ).

cnf(c_0_68,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_69,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk3_2(X2,X1))) = X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_53]),c_0_55]) ).

cnf(c_0_70,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(spm,[status(thm)],[c_0_56,c_0_55]) ).

cnf(c_0_71,plain,
    c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]),c_0_60]) ).

cnf(c_0_72,negated_conjecture,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]),c_0_63]),c_0_64]) ).

cnf(c_0_73,plain,
    ( c_Rings_Odvd__class_Odvd(X1,X2,X4)
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | ~ c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_74,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_75,plain,
    class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__mult]) ).

cnf(c_0_76,plain,
    ( c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_77,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_78,negated_conjecture,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72])]) ).

fof(c_0_79,plain,
    ! [X4,X11] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X11,X4)
     => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X11,X4)) = X11 ),
    inference(fof_simplification,[status(thm)],[fact_add__diff__inverse]) ).

fof(c_0_80,plain,
    ! [X144,X145,X146] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X146,X145)),X144) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X146),X144),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X145),X144)),
    inference(variable_rename,[status(thm)],[fact_diff__mult__distrib]) ).

fof(c_0_81,plain,
    ! [X2842,X2843] :
      ( ~ class_Rings_Ocomm__semiring__1(X2843)
      | ~ c_Rings_Odvd__class_Odvd(X2843,c_Groups_Ozero__class_Ozero(X2843),X2842)
      | X2842 = c_Groups_Ozero__class_Ozero(X2843) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__left])]) ).

cnf(c_0_82,negated_conjecture,
    ( c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,X2)
    | ~ c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X3),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_61]),c_0_51])]) ).

cnf(c_0_83,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_84,plain,
    c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_64]),c_0_51])]) ).

cnf(c_0_85,negated_conjecture,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,v_k____) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

fof(c_0_86,plain,
    ! [X692,X693] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X693,X692)
      | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X692,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X693,X692)) = X693 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])]) ).

fof(c_0_87,plain,
    ! [X4] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X4),
    inference(fof_simplification,[status(thm)],[fact_less__irrefl__nat]) ).

cnf(c_0_88,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_89,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_90,negated_conjecture,
    c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_64]),c_0_84])]) ).

cnf(c_0_91,negated_conjecture,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(spm,[status(thm)],[c_0_85,c_0_55]) ).

cnf(c_0_92,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

fof(c_0_93,plain,
    ! [X595] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X595,X595),
    inference(variable_rename,[status(thm)],[c_0_87]) ).

cnf(c_0_94,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_88]) ).

cnf(c_0_95,negated_conjecture,
    X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_51])]) ).

cnf(c_0_96,negated_conjecture,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_k____),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92])]) ).

cnf(c_0_97,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_98,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[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_94,c_0_95]),c_0_95]),c_0_95]),c_0_95]),c_0_95]),c_0_95]),c_0_96])]),c_0_97]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWW256+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Oct  2 22:05:41 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.63  Running first-order model finding
% 0.21/0.63  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.tPLGdyXQPQ/E---3.1_17753.p
% 59.03/7.44  # Version: 3.1pre001
% 59.03/7.44  # Preprocessing class: FMLMSMSMSSSNFFN.
% 59.03/7.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.03/7.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.03/7.44  # Starting new_bool_3 with 300s (1) cores
% 59.03/7.44  # Starting new_bool_1 with 300s (1) cores
% 59.03/7.44  # Starting sh5l with 300s (1) cores
% 59.03/7.44  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17830 completed with status 0
% 59.03/7.44  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 59.03/7.44  # Preprocessing class: FMLMSMSMSSSNFFN.
% 59.03/7.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.03/7.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.03/7.44  # No SInE strategy applied
% 59.03/7.44  # Search class: FGHSM-SMLM32-DFFFFFNN
% 59.03/7.44  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 59.03/7.44  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 59.03/7.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 59.03/7.44  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 59.03/7.44  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 59.03/7.44  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 59.03/7.44  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 17837 completed with status 0
% 59.03/7.44  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 59.03/7.44  # Preprocessing class: FMLMSMSMSSSNFFN.
% 59.03/7.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.03/7.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.03/7.44  # No SInE strategy applied
% 59.03/7.44  # Search class: FGHSM-SMLM32-DFFFFFNN
% 59.03/7.44  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 59.03/7.44  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 59.03/7.44  # Preprocessing time       : 0.016 s
% 59.03/7.44  # Presaturation interreduction done
% 59.03/7.44  
% 59.03/7.44  # Proof found!
% 59.03/7.44  # SZS status Theorem
% 59.03/7.44  # SZS output start CNFRefutation
% See solution above
% 59.03/7.44  # Parsed axioms                        : 1284
% 59.03/7.44  # Removed by relevancy pruning/SinE    : 0
% 59.03/7.44  # Initial clauses                      : 1723
% 59.03/7.44  # Removed in clause preprocessing      : 51
% 59.03/7.44  # Initial clauses in saturation        : 1672
% 59.03/7.44  # Processed clauses                    : 24785
% 59.03/7.44  # ...of these trivial                  : 391
% 59.03/7.44  # ...subsumed                          : 18716
% 59.03/7.44  # ...remaining for further processing  : 5678
% 59.03/7.44  # Other redundant clauses eliminated   : 5061
% 59.03/7.44  # Clauses deleted for lack of memory   : 0
% 59.03/7.44  # Backward-subsumed                    : 176
% 59.03/7.44  # Backward-rewritten                   : 3654
% 59.03/7.44  # Generated clauses                    : 334385
% 59.03/7.44  # ...of the previous two non-redundant : 304192
% 59.03/7.44  # ...aggressively subsumed             : 0
% 59.03/7.44  # Contextual simplify-reflections      : 27
% 59.03/7.44  # Paramodulations                      : 329264
% 59.03/7.44  # Factorizations                       : 22
% 59.03/7.44  # NegExts                              : 0
% 59.03/7.44  # Equation resolutions                 : 5114
% 59.03/7.44  # Total rewrite steps                  : 182220
% 59.03/7.44  # Propositional unsat checks           : 1
% 59.03/7.44  #    Propositional check models        : 0
% 59.03/7.44  #    Propositional check unsatisfiable : 0
% 59.03/7.44  #    Propositional clauses             : 0
% 59.03/7.44  #    Propositional clauses after purity: 0
% 59.03/7.44  #    Propositional unsat core size     : 0
% 59.03/7.44  #    Propositional preprocessing time  : 0.000
% 59.03/7.44  #    Propositional encoding time       : 0.505
% 59.03/7.44  #    Propositional solver time         : 0.224
% 59.03/7.44  #    Success case prop preproc time    : 0.000
% 59.03/7.44  #    Success case prop encoding time   : 0.000
% 59.03/7.44  #    Success case prop solver time     : 0.000
% 59.03/7.44  # Current number of processed clauses  : 336
% 59.03/7.44  #    Positive orientable unit clauses  : 236
% 59.03/7.44  #    Positive unorientable unit clauses: 1
% 59.03/7.44  #    Negative unit clauses             : 11
% 59.03/7.44  #    Non-unit-clauses                  : 88
% 59.03/7.44  # Current number of unprocessed clauses: 280670
% 59.03/7.44  # ...number of literals in the above   : 734141
% 59.03/7.44  # Current number of archived formulas  : 0
% 59.03/7.44  # Current number of archived clauses   : 5206
% 59.03/7.44  # Clause-clause subsumption calls (NU) : 714087
% 59.03/7.44  # Rec. Clause-clause subsumption calls : 488233
% 59.03/7.44  # Non-unit clause-clause subsumptions  : 4493
% 59.03/7.44  # Unit Clause-clause subsumption calls : 97705
% 59.03/7.44  # Rewrite failures with RHS unbound    : 0
% 59.03/7.44  # BW rewrite match attempts            : 24322
% 59.03/7.44  # BW rewrite match successes           : 3147
% 59.03/7.44  # Condensation attempts                : 0
% 59.03/7.44  # Condensation successes               : 0
% 59.03/7.44  # Termbank termtop insertions          : 9359711
% 59.03/7.44  
% 59.03/7.44  # -------------------------------------------------
% 59.03/7.44  # User time                : 6.146 s
% 59.03/7.44  # System time              : 0.230 s
% 59.03/7.44  # Total time               : 6.376 s
% 59.03/7.44  # Maximum resident set size: 8296 pages
% 59.03/7.44  
% 59.03/7.44  # -------------------------------------------------
% 59.03/7.44  # User time                : 31.039 s
% 59.03/7.44  # System time              : 1.094 s
% 59.03/7.44  # Total time               : 32.132 s
% 59.03/7.44  # Maximum resident set size: 3132 pages
% 59.03/7.44  % E---3.1 exiting
%------------------------------------------------------------------------------