TSTP Solution File: KRS052+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : KRS052+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% 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 : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 03:25:44 EDT 2022

% Result   : Satisfiable 8.90s 9.08s
% Output   : Saturation 8.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : KRS052+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.10  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Tue Jun  7 09:30:04 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 8.90/9.08  # Version:  1.3
% 8.90/9.08  # SZS status Satisfiable
% 8.90/9.08  # SZS output start Saturation
% 8.90/9.08  fof(axiom_6,axiom,(![X]:(cinfinite(X)<=>((?[Y0]:(?[Y1]:(?[Y2]:(?[Y3]:(?[Y4]:((((((((((((((rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1))&rinvR_N_times_M_to_1(X,Y2))&rinvR_N_times_M_to_1(X,Y3))&rinvR_N_times_M_to_1(X,Y4))&Y0!=Y1)&Y0!=Y2)&Y0!=Y3)&Y0!=Y4)&Y1!=Y2)&Y1!=Y3)&Y1!=Y4)&Y2!=Y3)&Y2!=Y4)&Y3!=Y4))))))&(![Y0]:(![Y1]:(![Y2]:(![Y3]:(![Y4]:(![Y5]:((((((rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1))&rinvR_N_times_M_to_1(X,Y2))&rinvR_N_times_M_to_1(X,Y3))&rinvR_N_times_M_to_1(X,Y4))&rinvR_N_times_M_to_1(X,Y5))=>((((((((((((((Y0=Y1|Y0=Y2)|Y0=Y3)|Y0=Y4)|Y0=Y5)|Y1=Y2)|Y1=Y3)|Y1=Y4)|Y1=Y5)|Y2=Y3)|Y2=Y4)|Y2=Y5)|Y3=Y4)|Y3=Y5)|Y4=Y5))))))))))),input).
% 8.90/9.08  fof(c80,axiom,(![X]:((~cinfinite(X)|((?[Y0]:(?[Y1]:(?[Y2]:(?[Y3]:(?[Y4]:((((((((((((((rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1))&rinvR_N_times_M_to_1(X,Y2))&rinvR_N_times_M_to_1(X,Y3))&rinvR_N_times_M_to_1(X,Y4))&Y0!=Y1)&Y0!=Y2)&Y0!=Y3)&Y0!=Y4)&Y1!=Y2)&Y1!=Y3)&Y1!=Y4)&Y2!=Y3)&Y2!=Y4)&Y3!=Y4))))))&(![Y0]:(![Y1]:(![Y2]:(![Y3]:(![Y4]:(![Y5]:((((((~rinvR_N_times_M_to_1(X,Y0)|~rinvR_N_times_M_to_1(X,Y1))|~rinvR_N_times_M_to_1(X,Y2))|~rinvR_N_times_M_to_1(X,Y3))|~rinvR_N_times_M_to_1(X,Y4))|~rinvR_N_times_M_to_1(X,Y5))|((((((((((((((Y0=Y1|Y0=Y2)|Y0=Y3)|Y0=Y4)|Y0=Y5)|Y1=Y2)|Y1=Y3)|Y1=Y4)|Y1=Y5)|Y2=Y3)|Y2=Y4)|Y2=Y5)|Y3=Y4)|Y3=Y5)|Y4=Y5))))))))))&(((![Y0]:(![Y1]:(![Y2]:(![Y3]:(![Y4]:((((((((((((((~rinvR_N_times_M_to_1(X,Y0)|~rinvR_N_times_M_to_1(X,Y1))|~rinvR_N_times_M_to_1(X,Y2))|~rinvR_N_times_M_to_1(X,Y3))|~rinvR_N_times_M_to_1(X,Y4))|Y0=Y1)|Y0=Y2)|Y0=Y3)|Y0=Y4)|Y1=Y2)|Y1=Y3)|Y1=Y4)|Y2=Y3)|Y2=Y4)|Y3=Y4))))))|(?[Y0]:(?[Y1]:(?[Y2]:(?[Y3]:(?[Y4]:(?[Y5]:((((((rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1))&rinvR_N_times_M_to_1(X,Y2))&rinvR_N_times_M_to_1(X,Y3))&rinvR_N_times_M_to_1(X,Y4))&rinvR_N_times_M_to_1(X,Y5))&((((((((((((((Y0!=Y1&Y0!=Y2)&Y0!=Y3)&Y0!=Y4)&Y0!=Y5)&Y1!=Y2)&Y1!=Y3)&Y1!=Y4)&Y1!=Y5)&Y2!=Y3)&Y2!=Y4)&Y2!=Y5)&Y3!=Y4)&Y3!=Y5)&Y4!=Y5)))))))))|cinfinite(X)))),inference(fof_nnf,status(thm),[axiom_6])).
% 8.90/9.08  fof(c81,axiom,((![X]:(~cinfinite(X)|((?[Y0]:(?[Y1]:(?[Y2]:(?[Y3]:(?[Y4]:((((((((((((((rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1))&rinvR_N_times_M_to_1(X,Y2))&rinvR_N_times_M_to_1(X,Y3))&rinvR_N_times_M_to_1(X,Y4))&Y0!=Y1)&Y0!=Y2)&Y0!=Y3)&Y0!=Y4)&Y1!=Y2)&Y1!=Y3)&Y1!=Y4)&Y2!=Y3)&Y2!=Y4)&Y3!=Y4))))))&(![Y0]:(![Y1]:(![Y2]:(![Y3]:(![Y4]:(![Y5]:((((((~rinvR_N_times_M_to_1(X,Y0)|~rinvR_N_times_M_to_1(X,Y1))|~rinvR_N_times_M_to_1(X,Y2))|~rinvR_N_times_M_to_1(X,Y3))|~rinvR_N_times_M_to_1(X,Y4))|~rinvR_N_times_M_to_1(X,Y5))|((((((((((((((Y0=Y1|Y0=Y2)|Y0=Y3)|Y0=Y4)|Y0=Y5)|Y1=Y2)|Y1=Y3)|Y1=Y4)|Y1=Y5)|Y2=Y3)|Y2=Y4)|Y2=Y5)|Y3=Y4)|Y3=Y5)|Y4=Y5)))))))))))&(![X]:(((![Y0]:(![Y1]:(![Y2]:(![Y3]:(![Y4]:((((((((((((((~rinvR_N_times_M_to_1(X,Y0)|~rinvR_N_times_M_to_1(X,Y1))|~rinvR_N_times_M_to_1(X,Y2))|~rinvR_N_times_M_to_1(X,Y3))|~rinvR_N_times_M_to_1(X,Y4))|Y0=Y1)|Y0=Y2)|Y0=Y3)|Y0=Y4)|Y1=Y2)|Y1=Y3)|Y1=Y4)|Y2=Y3)|Y2=Y4)|Y3=Y4))))))|(?[Y0]:(?[Y1]:(?[Y2]:(?[Y3]:(?[Y4]:(?[Y5]:((((((rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1))&rinvR_N_times_M_to_1(X,Y2))&rinvR_N_times_M_to_1(X,Y3))&rinvR_N_times_M_to_1(X,Y4))&rinvR_N_times_M_to_1(X,Y5))&((((((((((((((Y0!=Y1&Y0!=Y2)&Y0!=Y3)&Y0!=Y4)&Y0!=Y5)&Y1!=Y2)&Y1!=Y3)&Y1!=Y4)&Y1!=Y5)&Y2!=Y3)&Y2!=Y4)&Y2!=Y5)&Y3!=Y4)&Y3!=Y5)&Y4!=Y5)))))))))|cinfinite(X)))),inference(shift_quantors,status(thm),[c80])).
% 8.90/9.08  fof(c82,axiom,((![X47]:(~cinfinite(X47)|((?[X48]:(?[X49]:(?[X50]:(?[X51]:(?[X52]:((((((((((((((rinvR_N_times_M_to_1(X47,X48)&rinvR_N_times_M_to_1(X47,X49))&rinvR_N_times_M_to_1(X47,X50))&rinvR_N_times_M_to_1(X47,X51))&rinvR_N_times_M_to_1(X47,X52))&X48!=X49)&X48!=X50)&X48!=X51)&X48!=X52)&X49!=X50)&X49!=X51)&X49!=X52)&X50!=X51)&X50!=X52)&X51!=X52))))))&(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:(![X58]:((((((~rinvR_N_times_M_to_1(X47,X53)|~rinvR_N_times_M_to_1(X47,X54))|~rinvR_N_times_M_to_1(X47,X55))|~rinvR_N_times_M_to_1(X47,X56))|~rinvR_N_times_M_to_1(X47,X57))|~rinvR_N_times_M_to_1(X47,X58))|((((((((((((((X53=X54|X53=X55)|X53=X56)|X53=X57)|X53=X58)|X54=X55)|X54=X56)|X54=X57)|X54=X58)|X55=X56)|X55=X57)|X55=X58)|X56=X57)|X56=X58)|X57=X58)))))))))))&(![X59]:(((![X60]:(![X61]:(![X62]:(![X63]:(![X64]:((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64))))))|(?[X65]:(?[X66]:(?[X67]:(?[X68]:(?[X69]:(?[X70]:((((((rinvR_N_times_M_to_1(X59,X65)&rinvR_N_times_M_to_1(X59,X66))&rinvR_N_times_M_to_1(X59,X67))&rinvR_N_times_M_to_1(X59,X68))&rinvR_N_times_M_to_1(X59,X69))&rinvR_N_times_M_to_1(X59,X70))&((((((((((((((X65!=X66&X65!=X67)&X65!=X68)&X65!=X69)&X65!=X70)&X66!=X67)&X66!=X68)&X66!=X69)&X66!=X70)&X67!=X68)&X67!=X69)&X67!=X70)&X68!=X69)&X68!=X70)&X69!=X70)))))))))|cinfinite(X59)))),inference(variable_rename,status(thm),[c81])).
% 8.90/9.08  fof(c84,axiom,(![X47]:(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:(![X58]:(![X59]:(![X60]:(![X61]:(![X62]:(![X63]:(![X64]:((~cinfinite(X47)|(((((((((((((((rinvR_N_times_M_to_1(X47,skolem0006(X47))&rinvR_N_times_M_to_1(X47,skolem0007(X47)))&rinvR_N_times_M_to_1(X47,skolem0008(X47)))&rinvR_N_times_M_to_1(X47,skolem0009(X47)))&rinvR_N_times_M_to_1(X47,skolem0010(X47)))&skolem0006(X47)!=skolem0007(X47))&skolem0006(X47)!=skolem0008(X47))&skolem0006(X47)!=skolem0009(X47))&skolem0006(X47)!=skolem0010(X47))&skolem0007(X47)!=skolem0008(X47))&skolem0007(X47)!=skolem0009(X47))&skolem0007(X47)!=skolem0010(X47))&skolem0008(X47)!=skolem0009(X47))&skolem0008(X47)!=skolem0010(X47))&skolem0009(X47)!=skolem0010(X47))&((((((~rinvR_N_times_M_to_1(X47,X53)|~rinvR_N_times_M_to_1(X47,X54))|~rinvR_N_times_M_to_1(X47,X55))|~rinvR_N_times_M_to_1(X47,X56))|~rinvR_N_times_M_to_1(X47,X57))|~rinvR_N_times_M_to_1(X47,X58))|((((((((((((((X53=X54|X53=X55)|X53=X56)|X53=X57)|X53=X58)|X54=X55)|X54=X56)|X54=X57)|X54=X58)|X55=X56)|X55=X57)|X55=X58)|X56=X57)|X56=X58)|X57=X58))))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|((((((rinvR_N_times_M_to_1(X59,skolem0011(X59))&rinvR_N_times_M_to_1(X59,skolem0012(X59)))&rinvR_N_times_M_to_1(X59,skolem0013(X59)))&rinvR_N_times_M_to_1(X59,skolem0014(X59)))&rinvR_N_times_M_to_1(X59,skolem0015(X59)))&rinvR_N_times_M_to_1(X59,skolem0016(X59)))&((((((((((((((skolem0011(X59)!=skolem0012(X59)&skolem0011(X59)!=skolem0013(X59))&skolem0011(X59)!=skolem0014(X59))&skolem0011(X59)!=skolem0015(X59))&skolem0011(X59)!=skolem0016(X59))&skolem0012(X59)!=skolem0013(X59))&skolem0012(X59)!=skolem0014(X59))&skolem0012(X59)!=skolem0015(X59))&skolem0012(X59)!=skolem0016(X59))&skolem0013(X59)!=skolem0014(X59))&skolem0013(X59)!=skolem0015(X59))&skolem0013(X59)!=skolem0016(X59))&skolem0014(X59)!=skolem0015(X59))&skolem0014(X59)!=skolem0016(X59))&skolem0015(X59)!=skolem0016(X59))))|cinfinite(X59)))))))))))))))),inference(shift_quantors,status(thm),[fof(c83,axiom,((![X47]:(~cinfinite(X47)|(((((((((((((((rinvR_N_times_M_to_1(X47,skolem0006(X47))&rinvR_N_times_M_to_1(X47,skolem0007(X47)))&rinvR_N_times_M_to_1(X47,skolem0008(X47)))&rinvR_N_times_M_to_1(X47,skolem0009(X47)))&rinvR_N_times_M_to_1(X47,skolem0010(X47)))&skolem0006(X47)!=skolem0007(X47))&skolem0006(X47)!=skolem0008(X47))&skolem0006(X47)!=skolem0009(X47))&skolem0006(X47)!=skolem0010(X47))&skolem0007(X47)!=skolem0008(X47))&skolem0007(X47)!=skolem0009(X47))&skolem0007(X47)!=skolem0010(X47))&skolem0008(X47)!=skolem0009(X47))&skolem0008(X47)!=skolem0010(X47))&skolem0009(X47)!=skolem0010(X47))&(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:(![X58]:((((((~rinvR_N_times_M_to_1(X47,X53)|~rinvR_N_times_M_to_1(X47,X54))|~rinvR_N_times_M_to_1(X47,X55))|~rinvR_N_times_M_to_1(X47,X56))|~rinvR_N_times_M_to_1(X47,X57))|~rinvR_N_times_M_to_1(X47,X58))|((((((((((((((X53=X54|X53=X55)|X53=X56)|X53=X57)|X53=X58)|X54=X55)|X54=X56)|X54=X57)|X54=X58)|X55=X56)|X55=X57)|X55=X58)|X56=X57)|X56=X58)|X57=X58)))))))))))&(![X59]:(((![X60]:(![X61]:(![X62]:(![X63]:(![X64]:((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64))))))|((((((rinvR_N_times_M_to_1(X59,skolem0011(X59))&rinvR_N_times_M_to_1(X59,skolem0012(X59)))&rinvR_N_times_M_to_1(X59,skolem0013(X59)))&rinvR_N_times_M_to_1(X59,skolem0014(X59)))&rinvR_N_times_M_to_1(X59,skolem0015(X59)))&rinvR_N_times_M_to_1(X59,skolem0016(X59)))&((((((((((((((skolem0011(X59)!=skolem0012(X59)&skolem0011(X59)!=skolem0013(X59))&skolem0011(X59)!=skolem0014(X59))&skolem0011(X59)!=skolem0015(X59))&skolem0011(X59)!=skolem0016(X59))&skolem0012(X59)!=skolem0013(X59))&skolem0012(X59)!=skolem0014(X59))&skolem0012(X59)!=skolem0015(X59))&skolem0012(X59)!=skolem0016(X59))&skolem0013(X59)!=skolem0014(X59))&skolem0013(X59)!=skolem0015(X59))&skolem0013(X59)!=skolem0016(X59))&skolem0014(X59)!=skolem0015(X59))&skolem0014(X59)!=skolem0016(X59))&skolem0015(X59)!=skolem0016(X59))))|cinfinite(X59)))),inference(skolemize,status(esa),[c82])).])).
% 8.90/9.09  fof(c85,axiom,(![X47]:(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:(![X58]:(![X59]:(![X60]:(![X61]:(![X62]:(![X63]:(![X64]:(((((((((((((((((~cinfinite(X47)|rinvR_N_times_M_to_1(X47,skolem0006(X47)))&(~cinfinite(X47)|rinvR_N_times_M_to_1(X47,skolem0007(X47))))&(~cinfinite(X47)|rinvR_N_times_M_to_1(X47,skolem0008(X47))))&(~cinfinite(X47)|rinvR_N_times_M_to_1(X47,skolem0009(X47))))&(~cinfinite(X47)|rinvR_N_times_M_to_1(X47,skolem0010(X47))))&(~cinfinite(X47)|skolem0006(X47)!=skolem0007(X47)))&(~cinfinite(X47)|skolem0006(X47)!=skolem0008(X47)))&(~cinfinite(X47)|skolem0006(X47)!=skolem0009(X47)))&(~cinfinite(X47)|skolem0006(X47)!=skolem0010(X47)))&(~cinfinite(X47)|skolem0007(X47)!=skolem0008(X47)))&(~cinfinite(X47)|skolem0007(X47)!=skolem0009(X47)))&(~cinfinite(X47)|skolem0007(X47)!=skolem0010(X47)))&(~cinfinite(X47)|skolem0008(X47)!=skolem0009(X47)))&(~cinfinite(X47)|skolem0008(X47)!=skolem0010(X47)))&(~cinfinite(X47)|skolem0009(X47)!=skolem0010(X47)))&(~cinfinite(X47)|((((((~rinvR_N_times_M_to_1(X47,X53)|~rinvR_N_times_M_to_1(X47,X54))|~rinvR_N_times_M_to_1(X47,X55))|~rinvR_N_times_M_to_1(X47,X56))|~rinvR_N_times_M_to_1(X47,X57))|~rinvR_N_times_M_to_1(X47,X58))|((((((((((((((X53=X54|X53=X55)|X53=X56)|X53=X57)|X53=X58)|X54=X55)|X54=X56)|X54=X57)|X54=X58)|X55=X56)|X55=X57)|X55=X58)|X56=X57)|X56=X58)|X57=X58))))&((((((((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|rinvR_N_times_M_to_1(X59,skolem0011(X59)))|cinfinite(X59))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|rinvR_N_times_M_to_1(X59,skolem0012(X59)))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|rinvR_N_times_M_to_1(X59,skolem0013(X59)))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|rinvR_N_times_M_to_1(X59,skolem0014(X59)))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|rinvR_N_times_M_to_1(X59,skolem0015(X59)))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|rinvR_N_times_M_to_1(X59,skolem0016(X59)))|cinfinite(X59)))&((((((((((((((((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0011(X59)!=skolem0012(X59))|cinfinite(X59))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0011(X59)!=skolem0013(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0011(X59)!=skolem0014(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0011(X59)!=skolem0015(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0011(X59)!=skolem0016(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0012(X59)!=skolem0013(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0012(X59)!=skolem0014(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0012(X59)!=skolem0015(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0012(X59)!=skolem0016(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0013(X59)!=skolem0014(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0013(X59)!=skolem0015(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0013(X59)!=skolem0016(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0014(X59)!=skolem0015(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0014(X59)!=skolem0016(X59))|cinfinite(X59)))&((((((((((((((((~rinvR_N_times_M_to_1(X59,X60)|~rinvR_N_times_M_to_1(X59,X61))|~rinvR_N_times_M_to_1(X59,X62))|~rinvR_N_times_M_to_1(X59,X63))|~rinvR_N_times_M_to_1(X59,X64))|X60=X61)|X60=X62)|X60=X63)|X60=X64)|X61=X62)|X61=X63)|X61=X64)|X62=X63)|X62=X64)|X63=X64)|skolem0015(X59)!=skolem0016(X59))|cinfinite(X59)))))))))))))))))),inference(distribute,status(thm),[c84])).
% 8.90/9.09  cnf(c122,axiom,~rinvR_N_times_M_to_1(X527,X524)|~rinvR_N_times_M_to_1(X527,X526)|~rinvR_N_times_M_to_1(X527,X528)|~rinvR_N_times_M_to_1(X527,X523)|~rinvR_N_times_M_to_1(X527,X525)|X524=X526|X524=X528|X524=X523|X524=X525|X526=X528|X526=X523|X526=X525|X528=X523|X528=X525|X523=X525|skolem0015(X527)!=skolem0016(X527)|cinfinite(X527),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c121,axiom,~rinvR_N_times_M_to_1(X521,X518)|~rinvR_N_times_M_to_1(X521,X520)|~rinvR_N_times_M_to_1(X521,X522)|~rinvR_N_times_M_to_1(X521,X517)|~rinvR_N_times_M_to_1(X521,X519)|X518=X520|X518=X522|X518=X517|X518=X519|X520=X522|X520=X517|X520=X519|X522=X517|X522=X519|X517=X519|skolem0014(X521)!=skolem0016(X521)|cinfinite(X521),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c120,axiom,~rinvR_N_times_M_to_1(X515,X512)|~rinvR_N_times_M_to_1(X515,X514)|~rinvR_N_times_M_to_1(X515,X516)|~rinvR_N_times_M_to_1(X515,X511)|~rinvR_N_times_M_to_1(X515,X513)|X512=X514|X512=X516|X512=X511|X512=X513|X514=X516|X514=X511|X514=X513|X516=X511|X516=X513|X511=X513|skolem0014(X515)!=skolem0015(X515)|cinfinite(X515),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c119,axiom,~rinvR_N_times_M_to_1(X509,X506)|~rinvR_N_times_M_to_1(X509,X508)|~rinvR_N_times_M_to_1(X509,X510)|~rinvR_N_times_M_to_1(X509,X505)|~rinvR_N_times_M_to_1(X509,X507)|X506=X508|X506=X510|X506=X505|X506=X507|X508=X510|X508=X505|X508=X507|X510=X505|X510=X507|X505=X507|skolem0013(X509)!=skolem0016(X509)|cinfinite(X509),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c118,axiom,~rinvR_N_times_M_to_1(X503,X500)|~rinvR_N_times_M_to_1(X503,X502)|~rinvR_N_times_M_to_1(X503,X504)|~rinvR_N_times_M_to_1(X503,X499)|~rinvR_N_times_M_to_1(X503,X501)|X500=X502|X500=X504|X500=X499|X500=X501|X502=X504|X502=X499|X502=X501|X504=X499|X504=X501|X499=X501|skolem0013(X503)!=skolem0015(X503)|cinfinite(X503),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c117,axiom,~rinvR_N_times_M_to_1(X497,X494)|~rinvR_N_times_M_to_1(X497,X496)|~rinvR_N_times_M_to_1(X497,X498)|~rinvR_N_times_M_to_1(X497,X493)|~rinvR_N_times_M_to_1(X497,X495)|X494=X496|X494=X498|X494=X493|X494=X495|X496=X498|X496=X493|X496=X495|X498=X493|X498=X495|X493=X495|skolem0013(X497)!=skolem0014(X497)|cinfinite(X497),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c116,axiom,~rinvR_N_times_M_to_1(X491,X488)|~rinvR_N_times_M_to_1(X491,X490)|~rinvR_N_times_M_to_1(X491,X492)|~rinvR_N_times_M_to_1(X491,X487)|~rinvR_N_times_M_to_1(X491,X489)|X488=X490|X488=X492|X488=X487|X488=X489|X490=X492|X490=X487|X490=X489|X492=X487|X492=X489|X487=X489|skolem0012(X491)!=skolem0016(X491)|cinfinite(X491),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c115,axiom,~rinvR_N_times_M_to_1(X485,X482)|~rinvR_N_times_M_to_1(X485,X484)|~rinvR_N_times_M_to_1(X485,X486)|~rinvR_N_times_M_to_1(X485,X481)|~rinvR_N_times_M_to_1(X485,X483)|X482=X484|X482=X486|X482=X481|X482=X483|X484=X486|X484=X481|X484=X483|X486=X481|X486=X483|X481=X483|skolem0012(X485)!=skolem0015(X485)|cinfinite(X485),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c114,axiom,~rinvR_N_times_M_to_1(X479,X476)|~rinvR_N_times_M_to_1(X479,X478)|~rinvR_N_times_M_to_1(X479,X480)|~rinvR_N_times_M_to_1(X479,X475)|~rinvR_N_times_M_to_1(X479,X477)|X476=X478|X476=X480|X476=X475|X476=X477|X478=X480|X478=X475|X478=X477|X480=X475|X480=X477|X475=X477|skolem0012(X479)!=skolem0014(X479)|cinfinite(X479),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c113,axiom,~rinvR_N_times_M_to_1(X473,X470)|~rinvR_N_times_M_to_1(X473,X472)|~rinvR_N_times_M_to_1(X473,X474)|~rinvR_N_times_M_to_1(X473,X469)|~rinvR_N_times_M_to_1(X473,X471)|X470=X472|X470=X474|X470=X469|X470=X471|X472=X474|X472=X469|X472=X471|X474=X469|X474=X471|X469=X471|skolem0012(X473)!=skolem0013(X473)|cinfinite(X473),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c112,axiom,~rinvR_N_times_M_to_1(X467,X464)|~rinvR_N_times_M_to_1(X467,X466)|~rinvR_N_times_M_to_1(X467,X468)|~rinvR_N_times_M_to_1(X467,X463)|~rinvR_N_times_M_to_1(X467,X465)|X464=X466|X464=X468|X464=X463|X464=X465|X466=X468|X466=X463|X466=X465|X468=X463|X468=X465|X463=X465|skolem0011(X467)!=skolem0016(X467)|cinfinite(X467),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c111,axiom,~rinvR_N_times_M_to_1(X461,X458)|~rinvR_N_times_M_to_1(X461,X460)|~rinvR_N_times_M_to_1(X461,X462)|~rinvR_N_times_M_to_1(X461,X457)|~rinvR_N_times_M_to_1(X461,X459)|X458=X460|X458=X462|X458=X457|X458=X459|X460=X462|X460=X457|X460=X459|X462=X457|X462=X459|X457=X459|skolem0011(X461)!=skolem0015(X461)|cinfinite(X461),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c110,axiom,~rinvR_N_times_M_to_1(X455,X452)|~rinvR_N_times_M_to_1(X455,X454)|~rinvR_N_times_M_to_1(X455,X456)|~rinvR_N_times_M_to_1(X455,X451)|~rinvR_N_times_M_to_1(X455,X453)|X452=X454|X452=X456|X452=X451|X452=X453|X454=X456|X454=X451|X454=X453|X456=X451|X456=X453|X451=X453|skolem0011(X455)!=skolem0014(X455)|cinfinite(X455),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c109,axiom,~rinvR_N_times_M_to_1(X449,X446)|~rinvR_N_times_M_to_1(X449,X448)|~rinvR_N_times_M_to_1(X449,X450)|~rinvR_N_times_M_to_1(X449,X445)|~rinvR_N_times_M_to_1(X449,X447)|X446=X448|X446=X450|X446=X445|X446=X447|X448=X450|X448=X445|X448=X447|X450=X445|X450=X447|X445=X447|skolem0011(X449)!=skolem0013(X449)|cinfinite(X449),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c108,axiom,~rinvR_N_times_M_to_1(X443,X440)|~rinvR_N_times_M_to_1(X443,X442)|~rinvR_N_times_M_to_1(X443,X444)|~rinvR_N_times_M_to_1(X443,X439)|~rinvR_N_times_M_to_1(X443,X441)|X440=X442|X440=X444|X440=X439|X440=X441|X442=X444|X442=X439|X442=X441|X444=X439|X444=X441|X439=X441|skolem0011(X443)!=skolem0012(X443)|cinfinite(X443),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c107,axiom,~rinvR_N_times_M_to_1(X437,X434)|~rinvR_N_times_M_to_1(X437,X436)|~rinvR_N_times_M_to_1(X437,X438)|~rinvR_N_times_M_to_1(X437,X433)|~rinvR_N_times_M_to_1(X437,X435)|X434=X436|X434=X438|X434=X433|X434=X435|X436=X438|X436=X433|X436=X435|X438=X433|X438=X435|X433=X435|rinvR_N_times_M_to_1(X437,skolem0016(X437))|cinfinite(X437),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c106,axiom,~rinvR_N_times_M_to_1(X431,X428)|~rinvR_N_times_M_to_1(X431,X430)|~rinvR_N_times_M_to_1(X431,X432)|~rinvR_N_times_M_to_1(X431,X427)|~rinvR_N_times_M_to_1(X431,X429)|X428=X430|X428=X432|X428=X427|X428=X429|X430=X432|X430=X427|X430=X429|X432=X427|X432=X429|X427=X429|rinvR_N_times_M_to_1(X431,skolem0015(X431))|cinfinite(X431),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c105,axiom,~rinvR_N_times_M_to_1(X425,X422)|~rinvR_N_times_M_to_1(X425,X424)|~rinvR_N_times_M_to_1(X425,X426)|~rinvR_N_times_M_to_1(X425,X421)|~rinvR_N_times_M_to_1(X425,X423)|X422=X424|X422=X426|X422=X421|X422=X423|X424=X426|X424=X421|X424=X423|X426=X421|X426=X423|X421=X423|rinvR_N_times_M_to_1(X425,skolem0014(X425))|cinfinite(X425),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c104,axiom,~rinvR_N_times_M_to_1(X419,X416)|~rinvR_N_times_M_to_1(X419,X418)|~rinvR_N_times_M_to_1(X419,X420)|~rinvR_N_times_M_to_1(X419,X415)|~rinvR_N_times_M_to_1(X419,X417)|X416=X418|X416=X420|X416=X415|X416=X417|X418=X420|X418=X415|X418=X417|X420=X415|X420=X417|X415=X417|rinvR_N_times_M_to_1(X419,skolem0013(X419))|cinfinite(X419),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c103,axiom,~rinvR_N_times_M_to_1(X413,X410)|~rinvR_N_times_M_to_1(X413,X412)|~rinvR_N_times_M_to_1(X413,X414)|~rinvR_N_times_M_to_1(X413,X409)|~rinvR_N_times_M_to_1(X413,X411)|X410=X412|X410=X414|X410=X409|X410=X411|X412=X414|X412=X409|X412=X411|X414=X409|X414=X411|X409=X411|rinvR_N_times_M_to_1(X413,skolem0012(X413))|cinfinite(X413),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  fof(axiom_2,axiom,(![X]:(ccardinality_N(X)<=>((?[Y0]:(?[Y1]:(?[Y2]:(((((rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1))&rinvQ_1_to_M(X,Y2))&Y0!=Y1)&Y0!=Y2)&Y1!=Y2))))&(![Y0]:(![Y1]:(![Y2]:(![Y3]:((((rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1))&rinvQ_1_to_M(X,Y2))&rinvQ_1_to_M(X,Y3))=>(((((Y0=Y1|Y0=Y2)|Y0=Y3)|Y1=Y2)|Y1=Y3)|Y2=Y3))))))))),input).
% 8.90/9.09  fof(c150,axiom,(![X]:((~ccardinality_N(X)|((?[Y0]:(?[Y1]:(?[Y2]:(((((rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1))&rinvQ_1_to_M(X,Y2))&Y0!=Y1)&Y0!=Y2)&Y1!=Y2))))&(![Y0]:(![Y1]:(![Y2]:(![Y3]:((((~rinvQ_1_to_M(X,Y0)|~rinvQ_1_to_M(X,Y1))|~rinvQ_1_to_M(X,Y2))|~rinvQ_1_to_M(X,Y3))|(((((Y0=Y1|Y0=Y2)|Y0=Y3)|Y1=Y2)|Y1=Y3)|Y2=Y3))))))))&(((![Y0]:(![Y1]:(![Y2]:(((((~rinvQ_1_to_M(X,Y0)|~rinvQ_1_to_M(X,Y1))|~rinvQ_1_to_M(X,Y2))|Y0=Y1)|Y0=Y2)|Y1=Y2))))|(?[Y0]:(?[Y1]:(?[Y2]:(?[Y3]:((((rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1))&rinvQ_1_to_M(X,Y2))&rinvQ_1_to_M(X,Y3))&(((((Y0!=Y1&Y0!=Y2)&Y0!=Y3)&Y1!=Y2)&Y1!=Y3)&Y2!=Y3)))))))|ccardinality_N(X)))),inference(fof_nnf,status(thm),[axiom_2])).
% 8.90/9.09  fof(c151,axiom,((![X]:(~ccardinality_N(X)|((?[Y0]:(?[Y1]:(?[Y2]:(((((rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1))&rinvQ_1_to_M(X,Y2))&Y0!=Y1)&Y0!=Y2)&Y1!=Y2))))&(![Y0]:(![Y1]:(![Y2]:(![Y3]:((((~rinvQ_1_to_M(X,Y0)|~rinvQ_1_to_M(X,Y1))|~rinvQ_1_to_M(X,Y2))|~rinvQ_1_to_M(X,Y3))|(((((Y0=Y1|Y0=Y2)|Y0=Y3)|Y1=Y2)|Y1=Y3)|Y2=Y3)))))))))&(![X]:(((![Y0]:(![Y1]:(![Y2]:(((((~rinvQ_1_to_M(X,Y0)|~rinvQ_1_to_M(X,Y1))|~rinvQ_1_to_M(X,Y2))|Y0=Y1)|Y0=Y2)|Y1=Y2))))|(?[Y0]:(?[Y1]:(?[Y2]:(?[Y3]:((((rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1))&rinvQ_1_to_M(X,Y2))&rinvQ_1_to_M(X,Y3))&(((((Y0!=Y1&Y0!=Y2)&Y0!=Y3)&Y1!=Y2)&Y1!=Y3)&Y2!=Y3)))))))|ccardinality_N(X)))),inference(shift_quantors,status(thm),[c150])).
% 8.90/9.09  fof(c152,axiom,((![X83]:(~ccardinality_N(X83)|((?[X84]:(?[X85]:(?[X86]:(((((rinvQ_1_to_M(X83,X84)&rinvQ_1_to_M(X83,X85))&rinvQ_1_to_M(X83,X86))&X84!=X85)&X84!=X86)&X85!=X86))))&(![X87]:(![X88]:(![X89]:(![X90]:((((~rinvQ_1_to_M(X83,X87)|~rinvQ_1_to_M(X83,X88))|~rinvQ_1_to_M(X83,X89))|~rinvQ_1_to_M(X83,X90))|(((((X87=X88|X87=X89)|X87=X90)|X88=X89)|X88=X90)|X89=X90)))))))))&(![X91]:(((![X92]:(![X93]:(![X94]:(((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94))))|(?[X95]:(?[X96]:(?[X97]:(?[X98]:((((rinvQ_1_to_M(X91,X95)&rinvQ_1_to_M(X91,X96))&rinvQ_1_to_M(X91,X97))&rinvQ_1_to_M(X91,X98))&(((((X95!=X96&X95!=X97)&X95!=X98)&X96!=X97)&X96!=X98)&X97!=X98)))))))|ccardinality_N(X91)))),inference(variable_rename,status(thm),[c151])).
% 8.90/9.09  fof(c154,axiom,(![X83]:(![X87]:(![X88]:(![X89]:(![X90]:(![X91]:(![X92]:(![X93]:(![X94]:((~ccardinality_N(X83)|((((((rinvQ_1_to_M(X83,skolem0020(X83))&rinvQ_1_to_M(X83,skolem0021(X83)))&rinvQ_1_to_M(X83,skolem0022(X83)))&skolem0020(X83)!=skolem0021(X83))&skolem0020(X83)!=skolem0022(X83))&skolem0021(X83)!=skolem0022(X83))&((((~rinvQ_1_to_M(X83,X87)|~rinvQ_1_to_M(X83,X88))|~rinvQ_1_to_M(X83,X89))|~rinvQ_1_to_M(X83,X90))|(((((X87=X88|X87=X89)|X87=X90)|X88=X89)|X88=X90)|X89=X90))))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|((((rinvQ_1_to_M(X91,skolem0023(X91))&rinvQ_1_to_M(X91,skolem0024(X91)))&rinvQ_1_to_M(X91,skolem0025(X91)))&rinvQ_1_to_M(X91,skolem0026(X91)))&(((((skolem0023(X91)!=skolem0024(X91)&skolem0023(X91)!=skolem0025(X91))&skolem0023(X91)!=skolem0026(X91))&skolem0024(X91)!=skolem0025(X91))&skolem0024(X91)!=skolem0026(X91))&skolem0025(X91)!=skolem0026(X91))))|ccardinality_N(X91)))))))))))),inference(shift_quantors,status(thm),[fof(c153,axiom,((![X83]:(~ccardinality_N(X83)|((((((rinvQ_1_to_M(X83,skolem0020(X83))&rinvQ_1_to_M(X83,skolem0021(X83)))&rinvQ_1_to_M(X83,skolem0022(X83)))&skolem0020(X83)!=skolem0021(X83))&skolem0020(X83)!=skolem0022(X83))&skolem0021(X83)!=skolem0022(X83))&(![X87]:(![X88]:(![X89]:(![X90]:((((~rinvQ_1_to_M(X83,X87)|~rinvQ_1_to_M(X83,X88))|~rinvQ_1_to_M(X83,X89))|~rinvQ_1_to_M(X83,X90))|(((((X87=X88|X87=X89)|X87=X90)|X88=X89)|X88=X90)|X89=X90)))))))))&(![X91]:(((![X92]:(![X93]:(![X94]:(((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94))))|((((rinvQ_1_to_M(X91,skolem0023(X91))&rinvQ_1_to_M(X91,skolem0024(X91)))&rinvQ_1_to_M(X91,skolem0025(X91)))&rinvQ_1_to_M(X91,skolem0026(X91)))&(((((skolem0023(X91)!=skolem0024(X91)&skolem0023(X91)!=skolem0025(X91))&skolem0023(X91)!=skolem0026(X91))&skolem0024(X91)!=skolem0025(X91))&skolem0024(X91)!=skolem0026(X91))&skolem0025(X91)!=skolem0026(X91))))|ccardinality_N(X91)))),inference(skolemize,status(esa),[c152])).])).
% 8.90/9.09  fof(c155,axiom,(![X83]:(![X87]:(![X88]:(![X89]:(![X90]:(![X91]:(![X92]:(![X93]:(![X94]:((((((((~ccardinality_N(X83)|rinvQ_1_to_M(X83,skolem0020(X83)))&(~ccardinality_N(X83)|rinvQ_1_to_M(X83,skolem0021(X83))))&(~ccardinality_N(X83)|rinvQ_1_to_M(X83,skolem0022(X83))))&(~ccardinality_N(X83)|skolem0020(X83)!=skolem0021(X83)))&(~ccardinality_N(X83)|skolem0020(X83)!=skolem0022(X83)))&(~ccardinality_N(X83)|skolem0021(X83)!=skolem0022(X83)))&(~ccardinality_N(X83)|((((~rinvQ_1_to_M(X83,X87)|~rinvQ_1_to_M(X83,X88))|~rinvQ_1_to_M(X83,X89))|~rinvQ_1_to_M(X83,X90))|(((((X87=X88|X87=X89)|X87=X90)|X88=X89)|X88=X90)|X89=X90))))&(((((((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|rinvQ_1_to_M(X91,skolem0023(X91)))|ccardinality_N(X91))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|rinvQ_1_to_M(X91,skolem0024(X91)))|ccardinality_N(X91)))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|rinvQ_1_to_M(X91,skolem0025(X91)))|ccardinality_N(X91)))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|rinvQ_1_to_M(X91,skolem0026(X91)))|ccardinality_N(X91)))&((((((((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|skolem0023(X91)!=skolem0024(X91))|ccardinality_N(X91))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|skolem0023(X91)!=skolem0025(X91))|ccardinality_N(X91)))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|skolem0023(X91)!=skolem0026(X91))|ccardinality_N(X91)))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|skolem0024(X91)!=skolem0025(X91))|ccardinality_N(X91)))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|skolem0024(X91)!=skolem0026(X91))|ccardinality_N(X91)))&(((((((~rinvQ_1_to_M(X91,X92)|~rinvQ_1_to_M(X91,X93))|~rinvQ_1_to_M(X91,X94))|X92=X93)|X92=X94)|X93=X94)|skolem0025(X91)!=skolem0026(X91))|ccardinality_N(X91)))))))))))))),inference(distribute,status(thm),[c154])).
% 8.90/9.09  cnf(c162,axiom,~ccardinality_N(X404)|~rinvQ_1_to_M(X404,X405)|~rinvQ_1_to_M(X404,X406)|~rinvQ_1_to_M(X404,X408)|~rinvQ_1_to_M(X404,X407)|X405=X406|X405=X408|X405=X407|X406=X408|X406=X407|X408=X407,inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c102,axiom,~rinvR_N_times_M_to_1(X402,X399)|~rinvR_N_times_M_to_1(X402,X401)|~rinvR_N_times_M_to_1(X402,X403)|~rinvR_N_times_M_to_1(X402,X398)|~rinvR_N_times_M_to_1(X402,X400)|X399=X401|X399=X403|X399=X398|X399=X400|X401=X403|X401=X398|X401=X400|X403=X398|X403=X400|X398=X400|rinvR_N_times_M_to_1(X402,skolem0011(X402))|cinfinite(X402),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c172,axiom,~rinvQ_1_to_M(X396,X397)|~rinvQ_1_to_M(X396,X395)|~rinvQ_1_to_M(X396,X394)|X397=X395|X397=X394|X395=X394|skolem0025(X396)!=skolem0026(X396)|ccardinality_N(X396),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c171,axiom,~rinvQ_1_to_M(X392,X393)|~rinvQ_1_to_M(X392,X391)|~rinvQ_1_to_M(X392,X390)|X393=X391|X393=X390|X391=X390|skolem0024(X392)!=skolem0026(X392)|ccardinality_N(X392),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c170,axiom,~rinvQ_1_to_M(X388,X389)|~rinvQ_1_to_M(X388,X387)|~rinvQ_1_to_M(X388,X386)|X389=X387|X389=X386|X387=X386|skolem0024(X388)!=skolem0025(X388)|ccardinality_N(X388),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c169,axiom,~rinvQ_1_to_M(X384,X385)|~rinvQ_1_to_M(X384,X383)|~rinvQ_1_to_M(X384,X382)|X385=X383|X385=X382|X383=X382|skolem0023(X384)!=skolem0026(X384)|ccardinality_N(X384),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c168,axiom,~rinvQ_1_to_M(X380,X381)|~rinvQ_1_to_M(X380,X379)|~rinvQ_1_to_M(X380,X378)|X381=X379|X381=X378|X379=X378|skolem0023(X380)!=skolem0025(X380)|ccardinality_N(X380),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c101,axiom,~cinfinite(X373)|~rinvR_N_times_M_to_1(X373,X372)|~rinvR_N_times_M_to_1(X373,X377)|~rinvR_N_times_M_to_1(X373,X376)|~rinvR_N_times_M_to_1(X373,X374)|~rinvR_N_times_M_to_1(X373,X375)|~rinvR_N_times_M_to_1(X373,X371)|X372=X377|X372=X376|X372=X374|X372=X375|X372=X371|X377=X376|X377=X374|X377=X375|X377=X371|X376=X374|X376=X375|X376=X371|X374=X375|X374=X371|X375=X371,inference(split_conjunct,status(thm),[c85])).
% 8.90/9.09  cnf(c167,axiom,~rinvQ_1_to_M(X369,X370)|~rinvQ_1_to_M(X369,X368)|~rinvQ_1_to_M(X369,X367)|X370=X368|X370=X367|X368=X367|skolem0023(X369)!=skolem0024(X369)|ccardinality_N(X369),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c166,axiom,~rinvQ_1_to_M(X365,X366)|~rinvQ_1_to_M(X365,X364)|~rinvQ_1_to_M(X365,X363)|X366=X364|X366=X363|X364=X363|rinvQ_1_to_M(X365,skolem0026(X365))|ccardinality_N(X365),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c165,axiom,~rinvQ_1_to_M(X361,X362)|~rinvQ_1_to_M(X361,X360)|~rinvQ_1_to_M(X361,X359)|X362=X360|X362=X359|X360=X359|rinvQ_1_to_M(X361,skolem0025(X361))|ccardinality_N(X361),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c164,axiom,~rinvQ_1_to_M(X357,X358)|~rinvQ_1_to_M(X357,X356)|~rinvQ_1_to_M(X357,X355)|X358=X356|X358=X355|X356=X355|rinvQ_1_to_M(X357,skolem0024(X357))|ccardinality_N(X357),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  cnf(c163,axiom,~rinvQ_1_to_M(X353,X354)|~rinvQ_1_to_M(X353,X352)|~rinvQ_1_to_M(X353,X351)|X354=X352|X354=X351|X352=X351|rinvQ_1_to_M(X353,skolem0023(X353))|ccardinality_N(X353),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.09  fof(axiom_7,axiom,(![X]:(cinfinite(X)<=>((?[Y0]:(?[Y1]:((rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1))&Y0!=Y1)))&(![Y0]:(![Y1]:(![Y2]:(((rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1))&rinvP_1_to_N(X,Y2))=>((Y0=Y1|Y0=Y2)|Y1=Y2)))))))),input).
% 8.90/9.09  fof(c64,axiom,(![X]:((~cinfinite(X)|((?[Y0]:(?[Y1]:((rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1))&Y0!=Y1)))&(![Y0]:(![Y1]:(![Y2]:(((~rinvP_1_to_N(X,Y0)|~rinvP_1_to_N(X,Y1))|~rinvP_1_to_N(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2)))))))&(((![Y0]:(![Y1]:((~rinvP_1_to_N(X,Y0)|~rinvP_1_to_N(X,Y1))|Y0=Y1)))|(?[Y0]:(?[Y1]:(?[Y2]:(((rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1))&rinvP_1_to_N(X,Y2))&((Y0!=Y1&Y0!=Y2)&Y1!=Y2))))))|cinfinite(X)))),inference(fof_nnf,status(thm),[axiom_7])).
% 8.90/9.09  fof(c65,axiom,((![X]:(~cinfinite(X)|((?[Y0]:(?[Y1]:((rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1))&Y0!=Y1)))&(![Y0]:(![Y1]:(![Y2]:(((~rinvP_1_to_N(X,Y0)|~rinvP_1_to_N(X,Y1))|~rinvP_1_to_N(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2))))))))&(![X]:(((![Y0]:(![Y1]:((~rinvP_1_to_N(X,Y0)|~rinvP_1_to_N(X,Y1))|Y0=Y1)))|(?[Y0]:(?[Y1]:(?[Y2]:(((rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1))&rinvP_1_to_N(X,Y2))&((Y0!=Y1&Y0!=Y2)&Y1!=Y2))))))|cinfinite(X)))),inference(shift_quantors,status(thm),[c64])).
% 8.90/9.09  fof(c66,axiom,((![X35]:(~cinfinite(X35)|((?[X36]:(?[X37]:((rinvP_1_to_N(X35,X36)&rinvP_1_to_N(X35,X37))&X36!=X37)))&(![X38]:(![X39]:(![X40]:(((~rinvP_1_to_N(X35,X38)|~rinvP_1_to_N(X35,X39))|~rinvP_1_to_N(X35,X40))|((X38=X39|X38=X40)|X39=X40))))))))&(![X41]:(((![X42]:(![X43]:((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)))|(?[X44]:(?[X45]:(?[X46]:(((rinvP_1_to_N(X41,X44)&rinvP_1_to_N(X41,X45))&rinvP_1_to_N(X41,X46))&((X44!=X45&X44!=X46)&X45!=X46))))))|cinfinite(X41)))),inference(variable_rename,status(thm),[c65])).
% 8.90/9.09  fof(c68,axiom,(![X35]:(![X38]:(![X39]:(![X40]:(![X41]:(![X42]:(![X43]:((~cinfinite(X35)|(((rinvP_1_to_N(X35,skolem0001(X35))&rinvP_1_to_N(X35,skolem0002(X35)))&skolem0001(X35)!=skolem0002(X35))&(((~rinvP_1_to_N(X35,X38)|~rinvP_1_to_N(X35,X39))|~rinvP_1_to_N(X35,X40))|((X38=X39|X38=X40)|X39=X40))))&((((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)|(((rinvP_1_to_N(X41,skolem0003(X41))&rinvP_1_to_N(X41,skolem0004(X41)))&rinvP_1_to_N(X41,skolem0005(X41)))&((skolem0003(X41)!=skolem0004(X41)&skolem0003(X41)!=skolem0005(X41))&skolem0004(X41)!=skolem0005(X41))))|cinfinite(X41)))))))))),inference(shift_quantors,status(thm),[fof(c67,axiom,((![X35]:(~cinfinite(X35)|(((rinvP_1_to_N(X35,skolem0001(X35))&rinvP_1_to_N(X35,skolem0002(X35)))&skolem0001(X35)!=skolem0002(X35))&(![X38]:(![X39]:(![X40]:(((~rinvP_1_to_N(X35,X38)|~rinvP_1_to_N(X35,X39))|~rinvP_1_to_N(X35,X40))|((X38=X39|X38=X40)|X39=X40))))))))&(![X41]:(((![X42]:(![X43]:((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)))|(((rinvP_1_to_N(X41,skolem0003(X41))&rinvP_1_to_N(X41,skolem0004(X41)))&rinvP_1_to_N(X41,skolem0005(X41)))&((skolem0003(X41)!=skolem0004(X41)&skolem0003(X41)!=skolem0005(X41))&skolem0004(X41)!=skolem0005(X41))))|cinfinite(X41)))),inference(skolemize,status(esa),[c66])).])).
% 8.90/9.09  fof(c69,axiom,(![X35]:(![X38]:(![X39]:(![X40]:(![X41]:(![X42]:(![X43]:(((((~cinfinite(X35)|rinvP_1_to_N(X35,skolem0001(X35)))&(~cinfinite(X35)|rinvP_1_to_N(X35,skolem0002(X35))))&(~cinfinite(X35)|skolem0001(X35)!=skolem0002(X35)))&(~cinfinite(X35)|(((~rinvP_1_to_N(X35,X38)|~rinvP_1_to_N(X35,X39))|~rinvP_1_to_N(X35,X40))|((X38=X39|X38=X40)|X39=X40))))&(((((((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)|rinvP_1_to_N(X41,skolem0003(X41)))|cinfinite(X41))&((((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)|rinvP_1_to_N(X41,skolem0004(X41)))|cinfinite(X41)))&((((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)|rinvP_1_to_N(X41,skolem0005(X41)))|cinfinite(X41)))&((((((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)|skolem0003(X41)!=skolem0004(X41))|cinfinite(X41))&((((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)|skolem0003(X41)!=skolem0005(X41))|cinfinite(X41)))&((((~rinvP_1_to_N(X41,X42)|~rinvP_1_to_N(X41,X43))|X42=X43)|skolem0004(X41)!=skolem0005(X41))|cinfinite(X41)))))))))))),inference(distribute,status(thm),[c68])).
% 8.90/9.09  cnf(c79,axiom,~rinvP_1_to_N(X349,X350)|~rinvP_1_to_N(X349,X348)|X350=X348|skolem0004(X349)!=skolem0005(X349)|cinfinite(X349),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.09  cnf(c78,axiom,~rinvP_1_to_N(X346,X347)|~rinvP_1_to_N(X346,X345)|X347=X345|skolem0003(X346)!=skolem0005(X346)|cinfinite(X346),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.09  cnf(c77,axiom,~rinvP_1_to_N(X343,X344)|~rinvP_1_to_N(X343,X342)|X344=X342|skolem0003(X343)!=skolem0004(X343)|cinfinite(X343),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.09  cnf(c76,axiom,~rinvP_1_to_N(X340,X341)|~rinvP_1_to_N(X340,X339)|X341=X339|rinvP_1_to_N(X340,skolem0005(X340))|cinfinite(X340),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.09  fof(rinvP_1_to_N_substitution_1,axiom,(![A]:(![B]:(![C]:((A=B&rinvP_1_to_N(A,C))=>rinvP_1_to_N(B,C))))),input).
% 8.90/9.09  fof(c225,axiom,(![A]:(![B]:(![C]:((A!=B|~rinvP_1_to_N(A,C))|rinvP_1_to_N(B,C))))),inference(fof_nnf,status(thm),[rinvP_1_to_N_substitution_1])).
% 8.90/9.09  fof(c226,axiom,(![X140]:(![X141]:(![X142]:((X140!=X141|~rinvP_1_to_N(X140,X142))|rinvP_1_to_N(X141,X142))))),inference(variable_rename,status(thm),[c225])).
% 8.90/9.09  cnf(c227,axiom,X337!=X338|~rinvP_1_to_N(X337,X336)|rinvP_1_to_N(X338,X336),inference(split_conjunct,status(thm),[c226])).
% 8.90/9.09  fof(rinvP_1_to_N_substitution_2,axiom,(![A]:(![B]:(![C]:((A=B&rinvP_1_to_N(C,A))=>rinvP_1_to_N(C,B))))),input).
% 8.90/9.09  fof(c222,axiom,(![A]:(![B]:(![C]:((A!=B|~rinvP_1_to_N(C,A))|rinvP_1_to_N(C,B))))),inference(fof_nnf,status(thm),[rinvP_1_to_N_substitution_2])).
% 8.90/9.09  fof(c223,axiom,(![X137]:(![X138]:(![X139]:((X137!=X138|~rinvP_1_to_N(X139,X137))|rinvP_1_to_N(X139,X138))))),inference(variable_rename,status(thm),[c222])).
% 8.90/9.09  cnf(c224,axiom,X334!=X333|~rinvP_1_to_N(X335,X334)|rinvP_1_to_N(X335,X333),inference(split_conjunct,status(thm),[c223])).
% 8.90/9.09  cnf(c75,axiom,~rinvP_1_to_N(X331,X332)|~rinvP_1_to_N(X331,X330)|X332=X330|rinvP_1_to_N(X331,skolem0004(X331))|cinfinite(X331),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.09  fof(rinvQ_1_to_M_substitution_1,axiom,(![A]:(![B]:(![C]:((A=B&rinvQ_1_to_M(A,C))=>rinvQ_1_to_M(B,C))))),input).
% 8.90/9.09  fof(c219,axiom,(![A]:(![B]:(![C]:((A!=B|~rinvQ_1_to_M(A,C))|rinvQ_1_to_M(B,C))))),inference(fof_nnf,status(thm),[rinvQ_1_to_M_substitution_1])).
% 8.90/9.09  fof(c220,axiom,(![X134]:(![X135]:(![X136]:((X134!=X135|~rinvQ_1_to_M(X134,X136))|rinvQ_1_to_M(X135,X136))))),inference(variable_rename,status(thm),[c219])).
% 8.90/9.09  cnf(c221,axiom,X329!=X327|~rinvQ_1_to_M(X329,X328)|rinvQ_1_to_M(X327,X328),inference(split_conjunct,status(thm),[c220])).
% 8.90/9.09  fof(rinvQ_1_to_M_substitution_2,axiom,(![A]:(![B]:(![C]:((A=B&rinvQ_1_to_M(C,A))=>rinvQ_1_to_M(C,B))))),input).
% 8.90/9.09  fof(c216,axiom,(![A]:(![B]:(![C]:((A!=B|~rinvQ_1_to_M(C,A))|rinvQ_1_to_M(C,B))))),inference(fof_nnf,status(thm),[rinvQ_1_to_M_substitution_2])).
% 8.90/9.09  fof(c217,axiom,(![X131]:(![X132]:(![X133]:((X131!=X132|~rinvQ_1_to_M(X133,X131))|rinvQ_1_to_M(X133,X132))))),inference(variable_rename,status(thm),[c216])).
% 8.90/9.09  cnf(c218,axiom,X324!=X326|~rinvQ_1_to_M(X325,X324)|rinvQ_1_to_M(X325,X326),inference(split_conjunct,status(thm),[c217])).
% 8.90/9.09  fof(rinvR_N_times_M_to_1_substitution_1,axiom,(![A]:(![B]:(![C]:((A=B&rinvR_N_times_M_to_1(A,C))=>rinvR_N_times_M_to_1(B,C))))),input).
% 8.90/9.09  fof(c213,axiom,(![A]:(![B]:(![C]:((A!=B|~rinvR_N_times_M_to_1(A,C))|rinvR_N_times_M_to_1(B,C))))),inference(fof_nnf,status(thm),[rinvR_N_times_M_to_1_substitution_1])).
% 8.90/9.09  fof(c214,axiom,(![X128]:(![X129]:(![X130]:((X128!=X129|~rinvR_N_times_M_to_1(X128,X130))|rinvR_N_times_M_to_1(X129,X130))))),inference(variable_rename,status(thm),[c213])).
% 8.90/9.09  cnf(c215,axiom,X322!=X323|~rinvR_N_times_M_to_1(X322,X321)|rinvR_N_times_M_to_1(X323,X321),inference(split_conjunct,status(thm),[c214])).
% 8.90/9.10  fof(rinvR_N_times_M_to_1_substitution_2,axiom,(![A]:(![B]:(![C]:((A=B&rinvR_N_times_M_to_1(C,A))=>rinvR_N_times_M_to_1(C,B))))),input).
% 8.90/9.10  fof(c210,axiom,(![A]:(![B]:(![C]:((A!=B|~rinvR_N_times_M_to_1(C,A))|rinvR_N_times_M_to_1(C,B))))),inference(fof_nnf,status(thm),[rinvR_N_times_M_to_1_substitution_2])).
% 8.90/9.10  fof(c211,axiom,(![X125]:(![X126]:(![X127]:((X125!=X126|~rinvR_N_times_M_to_1(X127,X125))|rinvR_N_times_M_to_1(X127,X126))))),inference(variable_rename,status(thm),[c210])).
% 8.90/9.10  cnf(c212,axiom,X318!=X319|~rinvR_N_times_M_to_1(X320,X318)|rinvR_N_times_M_to_1(X320,X319),inference(split_conjunct,status(thm),[c211])).
% 8.90/9.10  fof(rp_N_to_1_substitution_1,axiom,(![A]:(![B]:(![C]:((A=B&rp_N_to_1(A,C))=>rp_N_to_1(B,C))))),input).
% 8.90/9.10  fof(c207,axiom,(![A]:(![B]:(![C]:((A!=B|~rp_N_to_1(A,C))|rp_N_to_1(B,C))))),inference(fof_nnf,status(thm),[rp_N_to_1_substitution_1])).
% 8.90/9.10  fof(c208,axiom,(![X122]:(![X123]:(![X124]:((X122!=X123|~rp_N_to_1(X122,X124))|rp_N_to_1(X123,X124))))),inference(variable_rename,status(thm),[c207])).
% 8.90/9.10  cnf(c209,axiom,X316!=X317|~rp_N_to_1(X316,X315)|rp_N_to_1(X317,X315),inference(split_conjunct,status(thm),[c208])).
% 8.90/9.10  cnf(c74,axiom,~rinvP_1_to_N(X313,X314)|~rinvP_1_to_N(X313,X312)|X314=X312|rinvP_1_to_N(X313,skolem0003(X313))|cinfinite(X313),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.10  fof(rp_N_to_1_substitution_2,axiom,(![A]:(![B]:(![C]:((A=B&rp_N_to_1(C,A))=>rp_N_to_1(C,B))))),input).
% 8.90/9.10  fof(c204,axiom,(![A]:(![B]:(![C]:((A!=B|~rp_N_to_1(C,A))|rp_N_to_1(C,B))))),inference(fof_nnf,status(thm),[rp_N_to_1_substitution_2])).
% 8.90/9.10  fof(c205,axiom,(![X119]:(![X120]:(![X121]:((X119!=X120|~rp_N_to_1(X121,X119))|rp_N_to_1(X121,X120))))),inference(variable_rename,status(thm),[c204])).
% 8.90/9.10  cnf(c206,axiom,X311!=X309|~rp_N_to_1(X310,X311)|rp_N_to_1(X310,X309),inference(split_conjunct,status(thm),[c205])).
% 8.90/9.10  fof(rq_M_to_1_substitution_1,axiom,(![A]:(![B]:(![C]:((A=B&rq_M_to_1(A,C))=>rq_M_to_1(B,C))))),input).
% 8.90/9.10  fof(c201,axiom,(![A]:(![B]:(![C]:((A!=B|~rq_M_to_1(A,C))|rq_M_to_1(B,C))))),inference(fof_nnf,status(thm),[rq_M_to_1_substitution_1])).
% 8.90/9.10  fof(c202,axiom,(![X116]:(![X117]:(![X118]:((X116!=X117|~rq_M_to_1(X116,X118))|rq_M_to_1(X117,X118))))),inference(variable_rename,status(thm),[c201])).
% 8.90/9.10  cnf(c203,axiom,X307!=X306|~rq_M_to_1(X307,X308)|rq_M_to_1(X306,X308),inference(split_conjunct,status(thm),[c202])).
% 8.90/9.10  fof(rq_M_to_1_substitution_2,axiom,(![A]:(![B]:(![C]:((A=B&rq_M_to_1(C,A))=>rq_M_to_1(C,B))))),input).
% 8.90/9.10  fof(c198,axiom,(![A]:(![B]:(![C]:((A!=B|~rq_M_to_1(C,A))|rq_M_to_1(C,B))))),inference(fof_nnf,status(thm),[rq_M_to_1_substitution_2])).
% 8.90/9.10  fof(c199,axiom,(![X113]:(![X114]:(![X115]:((X113!=X114|~rq_M_to_1(X115,X113))|rq_M_to_1(X115,X114))))),inference(variable_rename,status(thm),[c198])).
% 8.90/9.10  cnf(c200,axiom,X303!=X305|~rq_M_to_1(X304,X303)|rq_M_to_1(X304,X305),inference(split_conjunct,status(thm),[c199])).
% 8.90/9.10  fof(rr_N_times_M_to_1_substitution_1,axiom,(![A]:(![B]:(![C]:((A=B&rr_N_times_M_to_1(A,C))=>rr_N_times_M_to_1(B,C))))),input).
% 8.90/9.10  fof(c195,axiom,(![A]:(![B]:(![C]:((A!=B|~rr_N_times_M_to_1(A,C))|rr_N_times_M_to_1(B,C))))),inference(fof_nnf,status(thm),[rr_N_times_M_to_1_substitution_1])).
% 8.90/9.10  fof(c196,axiom,(![X110]:(![X111]:(![X112]:((X110!=X111|~rr_N_times_M_to_1(X110,X112))|rr_N_times_M_to_1(X111,X112))))),inference(variable_rename,status(thm),[c195])).
% 8.90/9.10  cnf(c197,axiom,X302!=X300|~rr_N_times_M_to_1(X302,X301)|rr_N_times_M_to_1(X300,X301),inference(split_conjunct,status(thm),[c196])).
% 8.90/9.10  fof(rr_N_times_M_to_1_substitution_2,axiom,(![A]:(![B]:(![C]:((A=B&rr_N_times_M_to_1(C,A))=>rr_N_times_M_to_1(C,B))))),input).
% 8.90/9.10  fof(c192,axiom,(![A]:(![B]:(![C]:((A!=B|~rr_N_times_M_to_1(C,A))|rr_N_times_M_to_1(C,B))))),inference(fof_nnf,status(thm),[rr_N_times_M_to_1_substitution_2])).
% 8.90/9.10  fof(c193,axiom,(![X107]:(![X108]:(![X109]:((X107!=X108|~rr_N_times_M_to_1(X109,X107))|rr_N_times_M_to_1(X109,X108))))),inference(variable_rename,status(thm),[c192])).
% 8.90/9.10  cnf(c194,axiom,X297!=X299|~rr_N_times_M_to_1(X298,X297)|rr_N_times_M_to_1(X298,X299),inference(split_conjunct,status(thm),[c193])).
% 8.90/9.10  cnf(c73,axiom,~cinfinite(X294)|~rinvP_1_to_N(X294,X296)|~rinvP_1_to_N(X294,X295)|~rinvP_1_to_N(X294,X293)|X296=X295|X296=X293|X295=X293,inference(split_conjunct,status(thm),[c69])).
% 8.90/9.10  fof(axiom_8,axiom,(![X]:(![Y]:(![Z]:((rp_N_to_1(X,Y)&rp_N_to_1(X,Z))=>Y=Z)))),input).
% 8.90/9.10  fof(c61,axiom,(![X]:(![Y]:(![Z]:((~rp_N_to_1(X,Y)|~rp_N_to_1(X,Z))|Y=Z)))),inference(fof_nnf,status(thm),[axiom_8])).
% 8.90/9.10  fof(c62,axiom,(![X32]:(![X33]:(![X34]:((~rp_N_to_1(X32,X33)|~rp_N_to_1(X32,X34))|X33=X34)))),inference(variable_rename,status(thm),[c61])).
% 8.90/9.10  cnf(c63,axiom,~rp_N_to_1(X290,X292)|~rp_N_to_1(X290,X291)|X292=X291,inference(split_conjunct,status(thm),[c62])).
% 8.90/9.10  fof(axiom_12,axiom,(![X]:(![Y]:(![Z]:((rq_M_to_1(X,Y)&rq_M_to_1(X,Z))=>Y=Z)))),input).
% 8.90/9.10  fof(c44,axiom,(![X]:(![Y]:(![Z]:((~rq_M_to_1(X,Y)|~rq_M_to_1(X,Z))|Y=Z)))),inference(fof_nnf,status(thm),[axiom_12])).
% 8.90/9.10  fof(c45,axiom,(![X21]:(![X22]:(![X23]:((~rq_M_to_1(X21,X22)|~rq_M_to_1(X21,X23))|X22=X23)))),inference(variable_rename,status(thm),[c44])).
% 8.90/9.10  cnf(c46,axiom,~rq_M_to_1(X289,X288)|~rq_M_to_1(X289,X287)|X288=X287,inference(split_conjunct,status(thm),[c45])).
% 8.90/9.10  fof(axiom_16,axiom,(![X]:(![Y]:(![Z]:((rr_N_times_M_to_1(X,Y)&rr_N_times_M_to_1(X,Z))=>Y=Z)))),input).
% 8.90/9.10  fof(c27,axiom,(![X]:(![Y]:(![Z]:((~rr_N_times_M_to_1(X,Y)|~rr_N_times_M_to_1(X,Z))|Y=Z)))),inference(fof_nnf,status(thm),[axiom_16])).
% 8.90/9.10  fof(c28,axiom,(![X10]:(![X11]:(![X12]:((~rr_N_times_M_to_1(X10,X11)|~rr_N_times_M_to_1(X10,X12))|X11=X12)))),inference(variable_rename,status(thm),[c27])).
% 8.90/9.10  cnf(c29,axiom,~rr_N_times_M_to_1(X284,X285)|~rr_N_times_M_to_1(X284,X286)|X285=X286,inference(split_conjunct,status(thm),[c28])).
% 8.90/9.10  cnf(c161,axiom,~ccardinality_N(X283)|skolem0021(X283)!=skolem0022(X283),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.10  cnf(c160,axiom,~ccardinality_N(X282)|skolem0020(X282)!=skolem0022(X282),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.10  cnf(c10,plain,X279!=X280|X278!=X281|~rr_N_times_M_to_1(X279,X278)|rr_N_times_M_to_1(X280,X281),eq_axiom).
% 8.90/9.10  cnf(c159,axiom,~ccardinality_N(X277)|skolem0020(X277)!=skolem0021(X277),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.10  cnf(c100,axiom,~cinfinite(X276)|skolem0009(X276)!=skolem0010(X276),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c99,axiom,~cinfinite(X275)|skolem0008(X275)!=skolem0010(X275),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c98,axiom,~cinfinite(X274)|skolem0008(X274)!=skolem0009(X274),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c97,axiom,~cinfinite(X273)|skolem0007(X273)!=skolem0010(X273),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c9,plain,X270!=X271|X269!=X272|~rq_M_to_1(X270,X269)|rq_M_to_1(X271,X272),eq_axiom).
% 8.90/9.10  cnf(c96,axiom,~cinfinite(X268)|skolem0007(X268)!=skolem0009(X268),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c95,axiom,~cinfinite(X267)|skolem0007(X267)!=skolem0008(X267),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c94,axiom,~cinfinite(X266)|skolem0006(X266)!=skolem0010(X266),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c93,axiom,~cinfinite(X265)|skolem0006(X265)!=skolem0009(X265),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c92,axiom,~cinfinite(X264)|skolem0006(X264)!=skolem0008(X264),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c8,plain,X261!=X262|X260!=X263|~rp_N_to_1(X261,X260)|rp_N_to_1(X262,X263),eq_axiom).
% 8.90/9.10  cnf(c91,axiom,~cinfinite(X259)|skolem0006(X259)!=skolem0007(X259),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c72,axiom,~cinfinite(X258)|skolem0001(X258)!=skolem0002(X258),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.10  cnf(c7,plain,X249!=X250|X248!=X251|~rinvR_N_times_M_to_1(X249,X248)|rinvR_N_times_M_to_1(X250,X251),eq_axiom).
% 8.90/9.10  cnf(c6,plain,X235!=X236|X234!=X237|~rinvQ_1_to_M(X235,X234)|rinvQ_1_to_M(X236,X237),eq_axiom).
% 8.90/9.10  cnf(c12,plain,X227!=X228|~xsd_string(X227)|xsd_string(X228),eq_axiom).
% 8.90/9.10  cnf(c5,plain,X223!=X224|X222!=X225|~rinvP_1_to_N(X223,X222)|rinvP_1_to_N(X224,X225),eq_axiom).
% 8.90/9.10  cnf(c11,plain,X220!=X221|~xsd_integer(X220)|xsd_integer(X221),eq_axiom).
% 8.90/9.10  cnf(c158,axiom,~ccardinality_N(X219)|rinvQ_1_to_M(X219,skolem0022(X219)),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.10  cnf(c157,axiom,~ccardinality_N(X218)|rinvQ_1_to_M(X218,skolem0021(X218)),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.10  cnf(c156,axiom,~ccardinality_N(X217)|rinvQ_1_to_M(X217,skolem0020(X217)),inference(split_conjunct,status(thm),[c155])).
% 8.90/9.10  fof(axiom_3,axiom,(![X]:(ccardinality_N(X)<=>(?[Y]:(rp_N_to_1(X,Y)&cinfinite(Y))))),input).
% 8.90/9.10  fof(c141,axiom,(![X]:((~ccardinality_N(X)|(?[Y]:(rp_N_to_1(X,Y)&cinfinite(Y))))&((![Y]:(~rp_N_to_1(X,Y)|~cinfinite(Y)))|ccardinality_N(X)))),inference(fof_nnf,status(thm),[axiom_3])).
% 8.90/9.10  fof(c142,axiom,((![X]:(~ccardinality_N(X)|(?[Y]:(rp_N_to_1(X,Y)&cinfinite(Y)))))&(![X]:((![Y]:(~rp_N_to_1(X,Y)|~cinfinite(Y)))|ccardinality_N(X)))),inference(shift_quantors,status(thm),[c141])).
% 8.90/9.10  fof(c143,axiom,((![X79]:(~ccardinality_N(X79)|(?[X80]:(rp_N_to_1(X79,X80)&cinfinite(X80)))))&(![X81]:((![X82]:(~rp_N_to_1(X81,X82)|~cinfinite(X82)))|ccardinality_N(X81)))),inference(variable_rename,status(thm),[c142])).
% 8.90/9.10  fof(c145,axiom,(![X79]:(![X81]:(![X82]:((~ccardinality_N(X79)|(rp_N_to_1(X79,skolem0019(X79))&cinfinite(skolem0019(X79))))&((~rp_N_to_1(X81,X82)|~cinfinite(X82))|ccardinality_N(X81)))))),inference(shift_quantors,status(thm),[fof(c144,axiom,((![X79]:(~ccardinality_N(X79)|(rp_N_to_1(X79,skolem0019(X79))&cinfinite(skolem0019(X79)))))&(![X81]:((![X82]:(~rp_N_to_1(X81,X82)|~cinfinite(X82)))|ccardinality_N(X81)))),inference(skolemize,status(esa),[c143])).])).
% 8.90/9.10  fof(c146,axiom,(![X79]:(![X81]:(![X82]:(((~ccardinality_N(X79)|rp_N_to_1(X79,skolem0019(X79)))&(~ccardinality_N(X79)|cinfinite(skolem0019(X79))))&((~rp_N_to_1(X81,X82)|~cinfinite(X82))|ccardinality_N(X81)))))),inference(distribute,status(thm),[c145])).
% 8.90/9.10  cnf(c147,axiom,~ccardinality_N(X216)|rp_N_to_1(X216,skolem0019(X216)),inference(split_conjunct,status(thm),[c146])).
% 8.90/9.10  fof(axiom_4,axiom,(![X]:(ccardinality_N_times_M(X)<=>(?[Y]:(rq_M_to_1(X,Y)&ccardinality_N(Y))))),input).
% 8.90/9.10  fof(c132,axiom,(![X]:((~ccardinality_N_times_M(X)|(?[Y]:(rq_M_to_1(X,Y)&ccardinality_N(Y))))&((![Y]:(~rq_M_to_1(X,Y)|~ccardinality_N(Y)))|ccardinality_N_times_M(X)))),inference(fof_nnf,status(thm),[axiom_4])).
% 8.90/9.10  fof(c133,axiom,((![X]:(~ccardinality_N_times_M(X)|(?[Y]:(rq_M_to_1(X,Y)&ccardinality_N(Y)))))&(![X]:((![Y]:(~rq_M_to_1(X,Y)|~ccardinality_N(Y)))|ccardinality_N_times_M(X)))),inference(shift_quantors,status(thm),[c132])).
% 8.90/9.10  fof(c134,axiom,((![X75]:(~ccardinality_N_times_M(X75)|(?[X76]:(rq_M_to_1(X75,X76)&ccardinality_N(X76)))))&(![X77]:((![X78]:(~rq_M_to_1(X77,X78)|~ccardinality_N(X78)))|ccardinality_N_times_M(X77)))),inference(variable_rename,status(thm),[c133])).
% 8.90/9.10  fof(c136,axiom,(![X75]:(![X77]:(![X78]:((~ccardinality_N_times_M(X75)|(rq_M_to_1(X75,skolem0018(X75))&ccardinality_N(skolem0018(X75))))&((~rq_M_to_1(X77,X78)|~ccardinality_N(X78))|ccardinality_N_times_M(X77)))))),inference(shift_quantors,status(thm),[fof(c135,axiom,((![X75]:(~ccardinality_N_times_M(X75)|(rq_M_to_1(X75,skolem0018(X75))&ccardinality_N(skolem0018(X75)))))&(![X77]:((![X78]:(~rq_M_to_1(X77,X78)|~ccardinality_N(X78)))|ccardinality_N_times_M(X77)))),inference(skolemize,status(esa),[c134])).])).
% 8.90/9.10  fof(c137,axiom,(![X75]:(![X77]:(![X78]:(((~ccardinality_N_times_M(X75)|rq_M_to_1(X75,skolem0018(X75)))&(~ccardinality_N_times_M(X75)|ccardinality_N(skolem0018(X75))))&((~rq_M_to_1(X77,X78)|~ccardinality_N(X78))|ccardinality_N_times_M(X77)))))),inference(distribute,status(thm),[c136])).
% 8.90/9.10  cnf(c138,axiom,~ccardinality_N_times_M(X213)|rq_M_to_1(X213,skolem0018(X213)),inference(split_conjunct,status(thm),[c137])).
% 8.90/9.10  fof(axiom_5,axiom,(![X]:(ccardinality_N_times_M(X)<=>(?[Y]:(rr_N_times_M_to_1(X,Y)&cinfinite(Y))))),input).
% 8.90/9.10  fof(c123,axiom,(![X]:((~ccardinality_N_times_M(X)|(?[Y]:(rr_N_times_M_to_1(X,Y)&cinfinite(Y))))&((![Y]:(~rr_N_times_M_to_1(X,Y)|~cinfinite(Y)))|ccardinality_N_times_M(X)))),inference(fof_nnf,status(thm),[axiom_5])).
% 8.90/9.10  fof(c124,axiom,((![X]:(~ccardinality_N_times_M(X)|(?[Y]:(rr_N_times_M_to_1(X,Y)&cinfinite(Y)))))&(![X]:((![Y]:(~rr_N_times_M_to_1(X,Y)|~cinfinite(Y)))|ccardinality_N_times_M(X)))),inference(shift_quantors,status(thm),[c123])).
% 8.90/9.10  fof(c125,axiom,((![X71]:(~ccardinality_N_times_M(X71)|(?[X72]:(rr_N_times_M_to_1(X71,X72)&cinfinite(X72)))))&(![X73]:((![X74]:(~rr_N_times_M_to_1(X73,X74)|~cinfinite(X74)))|ccardinality_N_times_M(X73)))),inference(variable_rename,status(thm),[c124])).
% 8.90/9.10  fof(c127,axiom,(![X71]:(![X73]:(![X74]:((~ccardinality_N_times_M(X71)|(rr_N_times_M_to_1(X71,skolem0017(X71))&cinfinite(skolem0017(X71))))&((~rr_N_times_M_to_1(X73,X74)|~cinfinite(X74))|ccardinality_N_times_M(X73)))))),inference(shift_quantors,status(thm),[fof(c126,axiom,((![X71]:(~ccardinality_N_times_M(X71)|(rr_N_times_M_to_1(X71,skolem0017(X71))&cinfinite(skolem0017(X71)))))&(![X73]:((![X74]:(~rr_N_times_M_to_1(X73,X74)|~cinfinite(X74)))|ccardinality_N_times_M(X73)))),inference(skolemize,status(esa),[c125])).])).
% 8.90/9.10  fof(c128,axiom,(![X71]:(![X73]:(![X74]:(((~ccardinality_N_times_M(X71)|rr_N_times_M_to_1(X71,skolem0017(X71)))&(~ccardinality_N_times_M(X71)|cinfinite(skolem0017(X71))))&((~rr_N_times_M_to_1(X73,X74)|~cinfinite(X74))|ccardinality_N_times_M(X73)))))),inference(distribute,status(thm),[c127])).
% 8.90/9.10  cnf(c129,axiom,~ccardinality_N_times_M(X212)|rr_N_times_M_to_1(X212,skolem0017(X212)),inference(split_conjunct,status(thm),[c128])).
% 8.90/9.10  cnf(c90,axiom,~cinfinite(X211)|rinvR_N_times_M_to_1(X211,skolem0010(X211)),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c89,axiom,~cinfinite(X210)|rinvR_N_times_M_to_1(X210,skolem0009(X210)),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c88,axiom,~cinfinite(X209)|rinvR_N_times_M_to_1(X209,skolem0008(X209)),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c87,axiom,~cinfinite(X206)|rinvR_N_times_M_to_1(X206,skolem0007(X206)),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c86,axiom,~cinfinite(X205)|rinvR_N_times_M_to_1(X205,skolem0006(X205)),inference(split_conjunct,status(thm),[c85])).
% 8.90/9.10  cnf(c71,axiom,~cinfinite(X204)|rinvP_1_to_N(X204,skolem0002(X204)),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.10  cnf(c70,axiom,~cinfinite(X203)|rinvP_1_to_N(X203,skolem0001(X203)),inference(split_conjunct,status(thm),[c69])).
% 8.90/9.10  cnf(c2,plain,X200!=X201|~cinfinite(X200)|cinfinite(X201),eq_axiom).
% 8.90/9.10  cnf(c148,axiom,~ccardinality_N(X197)|cinfinite(skolem0019(X197)),inference(split_conjunct,status(thm),[c146])).
% 8.90/9.10  cnf(c139,axiom,~ccardinality_N_times_M(X196)|ccardinality_N(skolem0018(X196)),inference(split_conjunct,status(thm),[c137])).
% 8.90/9.10  cnf(c130,axiom,~ccardinality_N_times_M(X195)|cinfinite(skolem0017(X195)),inference(split_conjunct,status(thm),[c128])).
% 8.90/9.10  cnf(c1,plain,X192!=X193|~ccardinality_N_times_M(X192)|ccardinality_N_times_M(X193),eq_axiom).
% 8.90/9.10  fof(axiom_11,axiom,(![X]:(![Y]:(rp_N_to_1(X,Y)<=>rinvP_1_to_N(Y,X)))),input).
% 8.90/9.10  fof(c47,axiom,(![X]:(![Y]:((~rp_N_to_1(X,Y)|rinvP_1_to_N(Y,X))&(~rinvP_1_to_N(Y,X)|rp_N_to_1(X,Y))))),inference(fof_nnf,status(thm),[axiom_11])).
% 8.90/9.10  fof(c48,axiom,((![X]:(![Y]:(~rp_N_to_1(X,Y)|rinvP_1_to_N(Y,X))))&(![X]:(![Y]:(~rinvP_1_to_N(Y,X)|rp_N_to_1(X,Y))))),inference(shift_quantors,status(thm),[c47])).
% 8.90/9.10  fof(c50,axiom,(![X24]:(![X25]:(![X26]:(![X27]:((~rp_N_to_1(X24,X25)|rinvP_1_to_N(X25,X24))&(~rinvP_1_to_N(X27,X26)|rp_N_to_1(X26,X27))))))),inference(shift_quantors,status(thm),[fof(c49,axiom,((![X24]:(![X25]:(~rp_N_to_1(X24,X25)|rinvP_1_to_N(X25,X24))))&(![X26]:(![X27]:(~rinvP_1_to_N(X27,X26)|rp_N_to_1(X26,X27))))),inference(variable_rename,status(thm),[c48])).])).
% 8.90/9.10  cnf(c52,axiom,~rinvP_1_to_N(X191,X190)|rp_N_to_1(X190,X191),inference(split_conjunct,status(thm),[c50])).
% 8.90/9.10  cnf(c51,axiom,~rp_N_to_1(X188,X189)|rinvP_1_to_N(X189,X188),inference(split_conjunct,status(thm),[c50])).
% 8.90/9.10  fof(axiom_15,axiom,(![X]:(![Y]:(rq_M_to_1(X,Y)<=>rinvQ_1_to_M(Y,X)))),input).
% 8.90/9.10  fof(c30,axiom,(![X]:(![Y]:((~rq_M_to_1(X,Y)|rinvQ_1_to_M(Y,X))&(~rinvQ_1_to_M(Y,X)|rq_M_to_1(X,Y))))),inference(fof_nnf,status(thm),[axiom_15])).
% 8.90/9.10  fof(c31,axiom,((![X]:(![Y]:(~rq_M_to_1(X,Y)|rinvQ_1_to_M(Y,X))))&(![X]:(![Y]:(~rinvQ_1_to_M(Y,X)|rq_M_to_1(X,Y))))),inference(shift_quantors,status(thm),[c30])).
% 8.90/9.10  fof(c33,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~rq_M_to_1(X13,X14)|rinvQ_1_to_M(X14,X13))&(~rinvQ_1_to_M(X16,X15)|rq_M_to_1(X15,X16))))))),inference(shift_quantors,status(thm),[fof(c32,axiom,((![X13]:(![X14]:(~rq_M_to_1(X13,X14)|rinvQ_1_to_M(X14,X13))))&(![X15]:(![X16]:(~rinvQ_1_to_M(X16,X15)|rq_M_to_1(X15,X16))))),inference(variable_rename,status(thm),[c31])).])).
% 8.90/9.10  cnf(c35,axiom,~rinvQ_1_to_M(X187,X186)|rq_M_to_1(X186,X187),inference(split_conjunct,status(thm),[c33])).
% 8.90/9.10  cnf(c34,axiom,~rq_M_to_1(X185,X184)|rinvQ_1_to_M(X184,X185),inference(split_conjunct,status(thm),[c33])).
% 8.90/9.10  cnf(c0,plain,X181!=X182|~ccardinality_N(X181)|ccardinality_N(X182),eq_axiom).
% 8.90/9.10  fof(axiom_19,axiom,(![X]:(![Y]:(rr_N_times_M_to_1(X,Y)<=>rinvR_N_times_M_to_1(Y,X)))),input).
% 8.90/9.10  fof(c13,axiom,(![X]:(![Y]:((~rr_N_times_M_to_1(X,Y)|rinvR_N_times_M_to_1(Y,X))&(~rinvR_N_times_M_to_1(Y,X)|rr_N_times_M_to_1(X,Y))))),inference(fof_nnf,status(thm),[axiom_19])).
% 8.90/9.10  fof(c14,axiom,((![X]:(![Y]:(~rr_N_times_M_to_1(X,Y)|rinvR_N_times_M_to_1(Y,X))))&(![X]:(![Y]:(~rinvR_N_times_M_to_1(Y,X)|rr_N_times_M_to_1(X,Y))))),inference(shift_quantors,status(thm),[c13])).
% 8.90/9.10  fof(c16,axiom,(![X2]:(![X3]:(![X4]:(![X5]:((~rr_N_times_M_to_1(X2,X3)|rinvR_N_times_M_to_1(X3,X2))&(~rinvR_N_times_M_to_1(X5,X4)|rr_N_times_M_to_1(X4,X5))))))),inference(shift_quantors,status(thm),[fof(c15,axiom,((![X2]:(![X3]:(~rr_N_times_M_to_1(X2,X3)|rinvR_N_times_M_to_1(X3,X2))))&(![X4]:(![X5]:(~rinvR_N_times_M_to_1(X5,X4)|rr_N_times_M_to_1(X4,X5))))),inference(variable_rename,status(thm),[c14])).])).
% 8.90/9.10  cnf(c18,axiom,~rinvR_N_times_M_to_1(X179,X180)|rr_N_times_M_to_1(X180,X179),inference(split_conjunct,status(thm),[c16])).
% 8.90/9.10  cnf(c17,axiom,~rr_N_times_M_to_1(X177,X178)|rinvR_N_times_M_to_1(X178,X177),inference(split_conjunct,status(thm),[c16])).
% 8.90/9.10  fof(axiom_9,axiom,(![X]:(![Y]:(rp_N_to_1(X,Y)=>ccardinality_N(X)))),input).
% 8.90/9.10  fof(c56,axiom,(![X]:(![Y]:(~rp_N_to_1(X,Y)|ccardinality_N(X)))),inference(fof_nnf,status(thm),[axiom_9])).
% 8.90/9.10  fof(c57,axiom,(![X]:((![Y]:~rp_N_to_1(X,Y))|ccardinality_N(X))),inference(shift_quantors,status(thm),[c56])).
% 8.90/9.10  fof(c59,axiom,(![X30]:(![X31]:(~rp_N_to_1(X30,X31)|ccardinality_N(X30)))),inference(shift_quantors,status(thm),[fof(c58,axiom,(![X30]:((![X31]:~rp_N_to_1(X30,X31))|ccardinality_N(X30))),inference(variable_rename,status(thm),[c57])).])).
% 8.90/9.10  cnf(c60,axiom,~rp_N_to_1(X176,X175)|ccardinality_N(X176),inference(split_conjunct,status(thm),[c59])).
% 8.90/9.10  fof(axiom_10,axiom,(![X]:(![Y]:(rp_N_to_1(X,Y)=>cinfinite(Y)))),input).
% 8.90/9.10  fof(c53,axiom,(![X]:(![Y]:(~rp_N_to_1(X,Y)|cinfinite(Y)))),inference(fof_nnf,status(thm),[axiom_10])).
% 8.90/9.10  fof(c54,axiom,(![X28]:(![X29]:(~rp_N_to_1(X28,X29)|cinfinite(X29)))),inference(variable_rename,status(thm),[c53])).
% 8.90/9.10  cnf(c55,axiom,~rp_N_to_1(X174,X173)|cinfinite(X173),inference(split_conjunct,status(thm),[c54])).
% 8.90/9.10  fof(axiom_13,axiom,(![X]:(![Y]:(rq_M_to_1(X,Y)=>ccardinality_N_times_M(X)))),input).
% 8.90/9.10  fof(c39,axiom,(![X]:(![Y]:(~rq_M_to_1(X,Y)|ccardinality_N_times_M(X)))),inference(fof_nnf,status(thm),[axiom_13])).
% 8.90/9.10  fof(c40,axiom,(![X]:((![Y]:~rq_M_to_1(X,Y))|ccardinality_N_times_M(X))),inference(shift_quantors,status(thm),[c39])).
% 8.90/9.10  fof(c42,axiom,(![X19]:(![X20]:(~rq_M_to_1(X19,X20)|ccardinality_N_times_M(X19)))),inference(shift_quantors,status(thm),[fof(c41,axiom,(![X19]:((![X20]:~rq_M_to_1(X19,X20))|ccardinality_N_times_M(X19))),inference(variable_rename,status(thm),[c40])).])).
% 8.90/9.10  cnf(c43,axiom,~rq_M_to_1(X171,X172)|ccardinality_N_times_M(X171),inference(split_conjunct,status(thm),[c42])).
% 8.90/9.10  cnf(transitivity,axiom,X170!=X169|X169!=X168|X170=X168,eq_axiom).
% 8.90/9.10  fof(axiom_14,axiom,(![X]:(![Y]:(rq_M_to_1(X,Y)=>ccardinality_N(Y)))),input).
% 8.90/9.10  fof(c36,axiom,(![X]:(![Y]:(~rq_M_to_1(X,Y)|ccardinality_N(Y)))),inference(fof_nnf,status(thm),[axiom_14])).
% 8.90/9.10  fof(c37,axiom,(![X17]:(![X18]:(~rq_M_to_1(X17,X18)|ccardinality_N(X18)))),inference(variable_rename,status(thm),[c36])).
% 8.90/9.10  cnf(c38,axiom,~rq_M_to_1(X166,X167)|ccardinality_N(X167),inference(split_conjunct,status(thm),[c37])).
% 8.90/9.10  fof(axiom_17,axiom,(![X]:(![Y]:(rr_N_times_M_to_1(X,Y)=>ccardinality_N_times_M(X)))),input).
% 8.90/9.10  fof(c22,axiom,(![X]:(![Y]:(~rr_N_times_M_to_1(X,Y)|ccardinality_N_times_M(X)))),inference(fof_nnf,status(thm),[axiom_17])).
% 8.90/9.10  fof(c23,axiom,(![X]:((![Y]:~rr_N_times_M_to_1(X,Y))|ccardinality_N_times_M(X))),inference(shift_quantors,status(thm),[c22])).
% 8.90/9.10  fof(c25,axiom,(![X8]:(![X9]:(~rr_N_times_M_to_1(X8,X9)|ccardinality_N_times_M(X8)))),inference(shift_quantors,status(thm),[fof(c24,axiom,(![X8]:((![X9]:~rr_N_times_M_to_1(X8,X9))|ccardinality_N_times_M(X8))),inference(variable_rename,status(thm),[c23])).])).
% 8.90/9.10  cnf(c26,axiom,~rr_N_times_M_to_1(X165,X164)|ccardinality_N_times_M(X165),inference(split_conjunct,status(thm),[c25])).
% 8.90/9.10  fof(axiom_18,axiom,(![X]:(![Y]:(rr_N_times_M_to_1(X,Y)=>cinfinite(Y)))),input).
% 8.90/9.10  fof(c19,axiom,(![X]:(![Y]:(~rr_N_times_M_to_1(X,Y)|cinfinite(Y)))),inference(fof_nnf,status(thm),[axiom_18])).
% 8.90/9.10  fof(c20,axiom,(![X6]:(![X7]:(~rr_N_times_M_to_1(X6,X7)|cinfinite(X7)))),inference(variable_rename,status(thm),[c19])).
% 8.90/9.10  cnf(c21,axiom,~rr_N_times_M_to_1(X163,X162)|cinfinite(X162),inference(split_conjunct,status(thm),[c20])).
% 8.90/9.10  cnf(symmetry,axiom,X159!=X158|X158=X159,eq_axiom).
% 8.90/9.10  fof(axiom_1,axiom,(![X]:(xsd_string(X)<=>(~xsd_integer(X)))),input).
% 8.90/9.10  fof(c173,axiom,(![X]:(xsd_string(X)<=>~xsd_integer(X))),inference(fof_simplification,status(thm),[axiom_1])).
% 8.90/9.10  fof(c174,axiom,(![X]:((~xsd_string(X)|~xsd_integer(X))&(xsd_integer(X)|xsd_string(X)))),inference(fof_nnf,status(thm),[c173])).
% 8.90/9.10  fof(c175,axiom,((![X]:(~xsd_string(X)|~xsd_integer(X)))&(![X]:(xsd_integer(X)|xsd_string(X)))),inference(shift_quantors,status(thm),[c174])).
% 8.90/9.10  fof(c177,axiom,(![X99]:(![X100]:((~xsd_string(X99)|~xsd_integer(X99))&(xsd_integer(X100)|xsd_string(X100))))),inference(shift_quantors,status(thm),[fof(c176,axiom,((![X99]:(~xsd_string(X99)|~xsd_integer(X99)))&(![X100]:(xsd_integer(X100)|xsd_string(X100)))),inference(variable_rename,status(thm),[c175])).])).
% 8.90/9.10  cnf(c179,axiom,xsd_integer(X157)|xsd_string(X157),inference(split_conjunct,status(thm),[c177])).
% 8.90/9.10  cnf(c178,axiom,~xsd_string(X156)|~xsd_integer(X156),inference(split_conjunct,status(thm),[c177])).
% 8.90/9.10  cnf(reflexivity,axiom,X155=X155,eq_axiom).
% 8.90/9.10  fof(axiom_0,axiom,(![X]:(cowlThing(X)&(~cowlNothing(X)))),input).
% 8.90/9.10  fof(c180,axiom,(![X]:(cowlThing(X)&~cowlNothing(X))),inference(fof_simplification,status(thm),[axiom_0])).
% 8.90/9.10  fof(c181,axiom,((![X]:cowlThing(X))&(![X]:~cowlNothing(X))),inference(shift_quantors,status(thm),[c180])).
% 8.90/9.10  fof(c183,axiom,(![X101]:(![X102]:(cowlThing(X101)&~cowlNothing(X102)))),inference(shift_quantors,status(thm),[fof(c182,axiom,((![X101]:cowlThing(X101))&(![X102]:~cowlNothing(X102))),inference(variable_rename,status(thm),[c181])).])).
% 8.90/9.10  cnf(c185,axiom,~cowlNothing(X154),inference(split_conjunct,status(thm),[c183])).
% 8.90/9.10  cnf(c184,axiom,cowlThing(X153),inference(split_conjunct,status(thm),[c183])).
% 8.90/9.10  # SZS output end Saturation
% 8.90/9.10  
% 8.90/9.10  # Initial clauses    : 127
% 8.90/9.10  # Processed clauses  : 115
% 8.90/9.10  # Factors computed   : 0
% 8.90/9.10  # Resolvents computed: 8
% 8.90/9.10  # Tautologies deleted: 7
% 8.90/9.10  # Forward subsumed   : 13
% 8.90/9.10  # Backward subsumed  : 0
% 8.90/9.10  # -------- CPU Time ---------
% 8.90/9.10  # User time          : 8.772 s
% 8.90/9.10  # System time        : 0.014 s
% 8.90/9.10  # Total time         : 8.786 s
%------------------------------------------------------------------------------