%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MSC013-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 22:59:35 EDT 2022

% Result   : Satisfiable 7.24s 7.40s
% Output   : Saturation 7.85s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 16387)

% Comments : 
%------------------------------------------------------------------------------
cnf(16473,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16387]),
    [iquote('0:Rew:1.0,16387.0')] ).

cnf(16472,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16388]),
    [iquote('0:Rew:1.0,16388.0')] ).

cnf(16471,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16389]),
    [iquote('0:Rew:1.0,16389.0')] ).

cnf(16470,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16390]),
    [iquote('0:Rew:1.0,16390.0')] ).

cnf(22096,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[16469,11]),
    [iquote('0:SpR:16469.0,11.0')] ).

cnf(16469,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16391]),
    [iquote('0:Rew:1.0,16391.0')] ).

cnf(16468,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16392]),
    [iquote('0:Rew:1.0,16392.0')] ).

cnf(16467,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16393]),
    [iquote('0:Rew:1.0,16393.0')] ).

cnf(16466,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16394]),
    [iquote('0:Rew:1.0,16394.0')] ).

cnf(16465,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16395]),
    [iquote('0:Rew:1.0,16395.0')] ).

cnf(16464,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16396]),
    [iquote('0:Rew:1.0,16396.0')] ).

cnf(16380,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16294]),
    [iquote('0:Rew:1.0,16294.0')] ).

cnf(16379,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16295]),
    [iquote('0:Rew:1.0,16295.0')] ).

cnf(16378,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16296]),
    [iquote('0:Rew:1.0,16296.0')] ).

cnf(16377,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16297]),
    [iquote('0:Rew:1.0,16297.0')] ).

cnf(21953,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[16376,11]),
    [iquote('0:SpR:16376.0,11.0')] ).

cnf(16376,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16298]),
    [iquote('0:Rew:1.0,16298.0')] ).

cnf(16375,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16299]),
    [iquote('0:Rew:1.0,16299.0')] ).

cnf(16374,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16300]),
    [iquote('0:Rew:1.0,16300.0')] ).

cnf(16373,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16301]),
    [iquote('0:Rew:1.0,16301.0')] ).

cnf(16372,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16302]),
    [iquote('0:Rew:1.0,16302.0')] ).

cnf(16371,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16303]),
    [iquote('0:Rew:1.0,16303.0')] ).

cnf(15584,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15498]),
    [iquote('0:Rew:1.0,15498.0')] ).

cnf(15583,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15499]),
    [iquote('0:Rew:1.0,15499.0')] ).

cnf(15582,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15500]),
    [iquote('0:Rew:1.0,15500.0')] ).

cnf(21812,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[15580,11]),
    [iquote('0:SpR:15580.0,11.0')] ).

cnf(15581,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15501]),
    [iquote('0:Rew:1.0,15501.0')] ).

cnf(15580,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15502]),
    [iquote('0:Rew:1.0,15502.0')] ).

cnf(15579,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15503]),
    [iquote('0:Rew:1.0,15503.0')] ).

cnf(15578,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15504]),
    [iquote('0:Rew:1.0,15504.0')] ).

cnf(15577,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15505]),
    [iquote('0:Rew:1.0,15505.0')] ).

cnf(15576,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15506]),
    [iquote('0:Rew:1.0,15506.0')] ).

cnf(15575,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15507]),
    [iquote('0:Rew:1.0,15507.0')] ).

cnf(15428,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15342]),
    [iquote('0:Rew:1.0,15342.0')] ).

cnf(15427,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15343]),
    [iquote('0:Rew:1.0,15343.0')] ).

cnf(15426,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15344]),
    [iquote('0:Rew:1.0,15344.0')] ).

cnf(15425,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15345]),
    [iquote('0:Rew:1.0,15345.0')] ).

cnf(21675,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[15424,11]),
    [iquote('0:SpR:15424.0,11.0')] ).

cnf(15424,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15346]),
    [iquote('0:Rew:1.0,15346.0')] ).

cnf(15423,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15347]),
    [iquote('0:Rew:1.0,15347.0')] ).

cnf(15422,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15348]),
    [iquote('0:Rew:1.0,15348.0')] ).

cnf(15421,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15349]),
    [iquote('0:Rew:1.0,15349.0')] ).

cnf(15420,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15350]),
    [iquote('0:Rew:1.0,15350.0')] ).

cnf(15419,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15351]),
    [iquote('0:Rew:1.0,15351.0')] ).

cnf(14498,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14414]),
    [iquote('0:Rew:1.0,14414.0')] ).

cnf(14497,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14415]),
    [iquote('0:Rew:1.0,14415.0')] ).

cnf(14496,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14416]),
    [iquote('0:Rew:1.0,14416.0')] ).

cnf(14495,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14417]),
    [iquote('0:Rew:1.0,14417.0')] ).

cnf(21538,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[14494,11]),
    [iquote('0:SpR:14494.0,11.0')] ).

cnf(14494,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14418]),
    [iquote('0:Rew:1.0,14418.0')] ).

cnf(14493,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14419]),
    [iquote('0:Rew:1.0,14419.0')] ).

cnf(14492,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14420]),
    [iquote('0:Rew:1.0,14420.0')] ).

cnf(14491,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14421]),
    [iquote('0:Rew:1.0,14421.0')] ).

cnf(14490,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14422]),
    [iquote('0:Rew:1.0,14422.0')] ).

cnf(14489,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14423]),
    [iquote('0:Rew:1.0,14423.0')] ).

cnf(14407,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14323]),
    [iquote('0:Rew:1.0,14323.0')] ).

cnf(14406,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14324]),
    [iquote('0:Rew:1.0,14324.0')] ).

cnf(14405,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14325]),
    [iquote('0:Rew:1.0,14325.0')] ).

cnf(14404,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14326]),
    [iquote('0:Rew:1.0,14326.0')] ).

cnf(21401,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[14403,11]),
    [iquote('0:SpR:14403.0,11.0')] ).

cnf(14403,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14327]),
    [iquote('0:Rew:1.0,14327.0')] ).

cnf(14402,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14328]),
    [iquote('0:Rew:1.0,14328.0')] ).

cnf(14401,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14329]),
    [iquote('0:Rew:1.0,14329.0')] ).

cnf(14400,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14330]),
    [iquote('0:Rew:1.0,14330.0')] ).

cnf(14399,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14331]),
    [iquote('0:Rew:1.0,14331.0')] ).

cnf(14398,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14332]),
    [iquote('0:Rew:1.0,14332.0')] ).

cnf(13664,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13584]),
    [iquote('0:Rew:1.0,13584.0')] ).

cnf(13663,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13585]),
    [iquote('0:Rew:1.0,13585.0')] ).

cnf(13662,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13586]),
    [iquote('0:Rew:1.0,13586.0')] ).

cnf(13661,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13587]),
    [iquote('0:Rew:1.0,13587.0')] ).

cnf(21264,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[13660,11]),
    [iquote('0:SpR:13660.0,11.0')] ).

cnf(13660,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13588]),
    [iquote('0:Rew:1.0,13588.0')] ).

cnf(13659,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13589]),
    [iquote('0:Rew:1.0,13589.0')] ).

cnf(13658,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13590]),
    [iquote('0:Rew:1.0,13590.0')] ).

cnf(13657,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13591]),
    [iquote('0:Rew:1.0,13591.0')] ).

cnf(13656,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13592]),
    [iquote('0:Rew:1.0,13592.0')] ).

cnf(13655,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13593]),
    [iquote('0:Rew:1.0,13593.0')] ).

cnf(13506,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13426]),
    [iquote('0:Rew:1.0,13426.0')] ).

cnf(13505,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13427]),
    [iquote('0:Rew:1.0,13427.0')] ).

cnf(13504,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13428]),
    [iquote('0:Rew:1.0,13428.0')] ).

cnf(21129,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[13502,11]),
    [iquote('0:SpR:13502.0,11.0')] ).

cnf(13503,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13429]),
    [iquote('0:Rew:1.0,13429.0')] ).

cnf(13502,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13430]),
    [iquote('0:Rew:1.0,13430.0')] ).

cnf(13501,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13431]),
    [iquote('0:Rew:1.0,13431.0')] ).

cnf(13500,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13432]),
    [iquote('0:Rew:1.0,13432.0')] ).

cnf(13499,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13433]),
    [iquote('0:Rew:1.0,13433.0')] ).

cnf(13498,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13434]),
    [iquote('0:Rew:1.0,13434.0')] ).

cnf(13497,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13435]),
    [iquote('0:Rew:1.0,13435.0')] ).

cnf(12253,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12173]),
    [iquote('0:Rew:1.0,12173.0')] ).

cnf(12252,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12174]),
    [iquote('0:Rew:1.0,12174.0')] ).

cnf(12251,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12175]),
    [iquote('0:Rew:1.0,12175.0')] ).

cnf(12250,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12176]),
    [iquote('0:Rew:1.0,12176.0')] ).

cnf(20994,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[12249,11]),
    [iquote('0:SpR:12249.0,11.0')] ).

cnf(12249,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12177]),
    [iquote('0:Rew:1.0,12177.0')] ).

cnf(12248,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12178]),
    [iquote('0:Rew:1.0,12178.0')] ).

cnf(12247,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12179]),
    [iquote('0:Rew:1.0,12179.0')] ).

cnf(12246,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12180]),
    [iquote('0:Rew:1.0,12180.0')] ).

cnf(12245,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12181]),
    [iquote('0:Rew:1.0,12181.0')] ).

cnf(12244,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12182]),
    [iquote('0:Rew:1.0,12182.0')] ).

cnf(12166,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12086]),
    [iquote('0:Rew:1.0,12086.0')] ).

cnf(12165,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12087]),
    [iquote('0:Rew:1.0,12087.0')] ).

cnf(12164,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12088]),
    [iquote('0:Rew:1.0,12088.0')] ).

cnf(12163,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12089]),
    [iquote('0:Rew:1.0,12089.0')] ).

cnf(20857,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[12162,11]),
    [iquote('0:SpR:12162.0,11.0')] ).

cnf(12162,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12090]),
    [iquote('0:Rew:1.0,12090.0')] ).

cnf(12161,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12091]),
    [iquote('0:Rew:1.0,12091.0')] ).

cnf(12160,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12092]),
    [iquote('0:Rew:1.0,12092.0')] ).

cnf(12159,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12093]),
    [iquote('0:Rew:1.0,12093.0')] ).

cnf(12158,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12094]),
    [iquote('0:Rew:1.0,12094.0')] ).

cnf(12157,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12095]),
    [iquote('0:Rew:1.0,12095.0')] ).

cnf(11422,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11342]),
    [iquote('0:Rew:1.0,11342.0')] ).

cnf(11421,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11343]),
    [iquote('0:Rew:1.0,11343.0')] ).

cnf(11420,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11344]),
    [iquote('0:Rew:1.0,11344.0')] ).

cnf(11419,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11345]),
    [iquote('0:Rew:1.0,11345.0')] ).

cnf(20720,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[11418,11]),
    [iquote('0:SpR:11418.0,11.0')] ).

cnf(11418,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11346]),
    [iquote('0:Rew:1.0,11346.0')] ).

cnf(11417,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11347]),
    [iquote('0:Rew:1.0,11347.0')] ).

cnf(11416,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11348]),
    [iquote('0:Rew:1.0,11348.0')] ).

cnf(11415,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11349]),
    [iquote('0:Rew:1.0,11349.0')] ).

cnf(11414,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11350]),
    [iquote('0:Rew:1.0,11350.0')] ).

cnf(11413,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11351]),
    [iquote('0:Rew:1.0,11351.0')] ).

cnf(11285,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11205]),
    [iquote('0:Rew:1.0,11205.0')] ).

cnf(11284,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11206]),
    [iquote('0:Rew:1.0,11206.0')] ).

cnf(11283,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11207]),
    [iquote('0:Rew:1.0,11207.0')] ).

cnf(11282,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11208]),
    [iquote('0:Rew:1.0,11208.0')] ).

cnf(20585,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[11281,11]),
    [iquote('0:SpR:11281.0,11.0')] ).

cnf(11281,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11209]),
    [iquote('0:Rew:1.0,11209.0')] ).

cnf(11280,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11210]),
    [iquote('0:Rew:1.0,11210.0')] ).

cnf(11279,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11211]),
    [iquote('0:Rew:1.0,11211.0')] ).

cnf(11278,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11212]),
    [iquote('0:Rew:1.0,11212.0')] ).

cnf(11277,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11213]),
    [iquote('0:Rew:1.0,11213.0')] ).

cnf(11276,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11214]),
    [iquote('0:Rew:1.0,11214.0')] ).

cnf(10475,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10397]),
    [iquote('0:Rew:1.0,10397.0')] ).

cnf(10474,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10398]),
    [iquote('0:Rew:1.0,10398.0')] ).

cnf(10473,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10399]),
    [iquote('0:Rew:1.0,10399.0')] ).

cnf(20450,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[10471,11]),
    [iquote('0:SpR:10471.0,11.0')] ).

cnf(10472,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10400]),
    [iquote('0:Rew:1.0,10400.0')] ).

cnf(10471,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10401]),
    [iquote('0:Rew:1.0,10401.0')] ).

cnf(10470,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10402]),
    [iquote('0:Rew:1.0,10402.0')] ).

cnf(10469,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10403]),
    [iquote('0:Rew:1.0,10403.0')] ).

cnf(10468,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10404]),
    [iquote('0:Rew:1.0,10404.0')] ).

cnf(10467,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10405]),
    [iquote('0:Rew:1.0,10405.0')] ).

cnf(10466,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10406]),
    [iquote('0:Rew:1.0,10406.0')] ).

cnf(10390,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10312]),
    [iquote('0:Rew:1.0,10312.0')] ).

cnf(10389,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10313]),
    [iquote('0:Rew:1.0,10313.0')] ).

cnf(10388,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10314]),
    [iquote('0:Rew:1.0,10314.0')] ).

cnf(10387,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10315]),
    [iquote('0:Rew:1.0,10315.0')] ).

cnf(20315,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[10386,11]),
    [iquote('0:SpR:10386.0,11.0')] ).

cnf(10386,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10316]),
    [iquote('0:Rew:1.0,10316.0')] ).

cnf(10385,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10317]),
    [iquote('0:Rew:1.0,10317.0')] ).

cnf(10384,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10318]),
    [iquote('0:Rew:1.0,10318.0')] ).

cnf(10383,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10319]),
    [iquote('0:Rew:1.0,10319.0')] ).

cnf(10382,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10320]),
    [iquote('0:Rew:1.0,10320.0')] ).

cnf(10381,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10321]),
    [iquote('0:Rew:1.0,10321.0')] ).

cnf(9735,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9661]),
    [iquote('0:Rew:1.0,9661.0')] ).

cnf(9734,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9662]),
    [iquote('0:Rew:1.0,9662.0')] ).

cnf(9733,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9663]),
    [iquote('0:Rew:1.0,9663.0')] ).

cnf(9732,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9664]),
    [iquote('0:Rew:1.0,9664.0')] ).

cnf(20178,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[9731,11]),
    [iquote('0:SpR:9731.0,11.0')] ).

cnf(9731,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9665]),
    [iquote('0:Rew:1.0,9665.0')] ).

cnf(9730,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9666]),
    [iquote('0:Rew:1.0,9666.0')] ).

cnf(9729,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9667]),
    [iquote('0:Rew:1.0,9667.0')] ).

cnf(9728,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9668]),
    [iquote('0:Rew:1.0,9668.0')] ).

cnf(9727,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9669]),
    [iquote('0:Rew:1.0,9669.0')] ).

cnf(9726,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9670]),
    [iquote('0:Rew:1.0,9670.0')] ).

cnf(9611,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9537]),
    [iquote('0:Rew:1.0,9537.0')] ).

cnf(9610,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9538]),
    [iquote('0:Rew:1.0,9538.0')] ).

cnf(9609,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9539]),
    [iquote('0:Rew:1.0,9539.0')] ).

cnf(9608,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9540]),
    [iquote('0:Rew:1.0,9540.0')] ).

cnf(20041,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[9607,11]),
    [iquote('0:SpR:9607.0,11.0')] ).

cnf(9607,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(n1,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9541]),
    [iquote('0:Rew:1.0,9541.0')] ).

cnf(9606,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9542]),
    [iquote('0:Rew:1.0,9542.0')] ).

cnf(9605,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9543]),
    [iquote('0:Rew:1.0,9543.0')] ).

cnf(9604,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9544]),
    [iquote('0:Rew:1.0,9544.0')] ).

cnf(9603,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9545]),
    [iquote('0:Rew:1.0,9545.0')] ).

cnf(9602,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg,equalish(y,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9546]),
    [iquote('0:Rew:1.0,9546.0')] ).

cnf(8044,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7964]),
    [iquote('0:Rew:1.0,7964.0')] ).

cnf(8043,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7965]),
    [iquote('0:Rew:1.0,7965.0')] ).

cnf(8042,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7966]),
    [iquote('0:Rew:1.0,7966.0')] ).

cnf(8041,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7967]),
    [iquote('0:Rew:1.0,7967.0')] ).

cnf(19906,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[8040,11]),
    [iquote('0:SpR:8040.0,11.0')] ).

cnf(8040,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7968]),
    [iquote('0:Rew:1.0,7968.0')] ).

cnf(8039,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7969]),
    [iquote('0:Rew:1.0,7969.0')] ).

cnf(8038,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7970]),
    [iquote('0:Rew:1.0,7970.0')] ).

cnf(8037,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7971]),
    [iquote('0:Rew:1.0,7971.0')] ).

cnf(8036,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7972]),
    [iquote('0:Rew:1.0,7972.0')] ).

cnf(8035,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7973]),
    [iquote('0:Rew:1.0,7973.0')] ).

cnf(7957,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7877]),
    [iquote('0:Rew:1.0,7877.0')] ).

cnf(7956,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7878]),
    [iquote('0:Rew:1.0,7878.0')] ).

cnf(7955,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7879]),
    [iquote('0:Rew:1.0,7879.0')] ).

cnf(19769,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[7953,11]),
    [iquote('0:SpR:7953.0,11.0')] ).

cnf(7954,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7880]),
    [iquote('0:Rew:1.0,7880.0')] ).

cnf(7953,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7881]),
    [iquote('0:Rew:1.0,7881.0')] ).

cnf(7952,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7882]),
    [iquote('0:Rew:1.0,7882.0')] ).

cnf(7951,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7883]),
    [iquote('0:Rew:1.0,7883.0')] ).

cnf(7950,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7884]),
    [iquote('0:Rew:1.0,7884.0')] ).

cnf(7949,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7885]),
    [iquote('0:Rew:1.0,7885.0')] ).

cnf(7948,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7886]),
    [iquote('0:Rew:1.0,7886.0')] ).

cnf(7244,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7166]),
    [iquote('0:Rew:1.0,7166.0')] ).

cnf(7243,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7167]),
    [iquote('0:Rew:1.0,7167.0')] ).

cnf(7242,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7168]),
    [iquote('0:Rew:1.0,7168.0')] ).

cnf(7241,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7169]),
    [iquote('0:Rew:1.0,7169.0')] ).

cnf(19632,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[7240,11]),
    [iquote('0:SpR:7240.0,11.0')] ).

cnf(7240,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7170]),
    [iquote('0:Rew:1.0,7170.0')] ).

cnf(7239,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7171]),
    [iquote('0:Rew:1.0,7171.0')] ).

cnf(7238,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7172]),
    [iquote('0:Rew:1.0,7172.0')] ).

cnf(7237,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7173]),
    [iquote('0:Rew:1.0,7173.0')] ).

cnf(7236,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7174]),
    [iquote('0:Rew:1.0,7174.0')] ).

cnf(7235,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7175]),
    [iquote('0:Rew:1.0,7175.0')] ).

cnf(7102,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7026]),
    [iquote('0:Rew:1.0,7026.0')] ).

cnf(7101,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7027]),
    [iquote('0:Rew:1.0,7027.0')] ).

cnf(7100,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7028]),
    [iquote('0:Rew:1.0,7028.0')] ).

cnf(7099,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7029]),
    [iquote('0:Rew:1.0,7029.0')] ).

cnf(19497,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[7098,11]),
    [iquote('0:SpR:7098.0,11.0')] ).

cnf(7098,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7030]),
    [iquote('0:Rew:1.0,7030.0')] ).

cnf(7097,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7031]),
    [iquote('0:Rew:1.0,7031.0')] ).

cnf(7096,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7032]),
    [iquote('0:Rew:1.0,7032.0')] ).

cnf(7095,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7033]),
    [iquote('0:Rew:1.0,7033.0')] ).

cnf(7094,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7034]),
    [iquote('0:Rew:1.0,7034.0')] ).

cnf(7093,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7035]),
    [iquote('0:Rew:1.0,7035.0')] ).

cnf(6233,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6159]),
    [iquote('0:Rew:1.0,6159.0')] ).

cnf(6232,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6160]),
    [iquote('0:Rew:1.0,6160.0')] ).

cnf(6231,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6161]),
    [iquote('0:Rew:1.0,6161.0')] ).

cnf(6230,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6162]),
    [iquote('0:Rew:1.0,6162.0')] ).

cnf(19362,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[6229,11]),
    [iquote('0:SpR:6229.0,11.0')] ).

cnf(6229,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6163]),
    [iquote('0:Rew:1.0,6163.0')] ).

cnf(6228,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6164]),
    [iquote('0:Rew:1.0,6164.0')] ).

cnf(6227,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6165]),
    [iquote('0:Rew:1.0,6165.0')] ).

cnf(6226,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6166]),
    [iquote('0:Rew:1.0,6166.0')] ).

cnf(6225,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6167]),
    [iquote('0:Rew:1.0,6167.0')] ).

cnf(6224,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6168]),
    [iquote('0:Rew:1.0,6168.0')] ).

cnf(6152,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6078]),
    [iquote('0:Rew:1.0,6078.0')] ).

cnf(6151,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6079]),
    [iquote('0:Rew:1.0,6079.0')] ).

cnf(6150,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6080]),
    [iquote('0:Rew:1.0,6080.0')] ).

cnf(6149,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6081]),
    [iquote('0:Rew:1.0,6081.0')] ).

cnf(19227,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[6148,11]),
    [iquote('0:SpR:6148.0,11.0')] ).

cnf(6148,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6082]),
    [iquote('0:Rew:1.0,6082.0')] ).

cnf(6147,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6083]),
    [iquote('0:Rew:1.0,6083.0')] ).

cnf(6146,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6084]),
    [iquote('0:Rew:1.0,6084.0')] ).

cnf(6145,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6085]),
    [iquote('0:Rew:1.0,6085.0')] ).

cnf(6144,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6086]),
    [iquote('0:Rew:1.0,6086.0')] ).

cnf(6143,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6087]),
    [iquote('0:Rew:1.0,6087.0')] ).

cnf(5496,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5426]),
    [iquote('0:Rew:1.0,5426.0')] ).

cnf(5495,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5427]),
    [iquote('0:Rew:1.0,5427.0')] ).

cnf(5494,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5428]),
    [iquote('0:Rew:1.0,5428.0')] ).

cnf(19090,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[5492,11]),
    [iquote('0:SpR:5492.0,11.0')] ).

cnf(5493,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5429]),
    [iquote('0:Rew:1.0,5429.0')] ).

cnf(5492,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5430]),
    [iquote('0:Rew:1.0,5430.0')] ).

cnf(5491,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5431]),
    [iquote('0:Rew:1.0,5431.0')] ).

cnf(5490,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5432]),
    [iquote('0:Rew:1.0,5432.0')] ).

cnf(5489,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5433]),
    [iquote('0:Rew:1.0,5433.0')] ).

cnf(5488,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5434]),
    [iquote('0:Rew:1.0,5434.0')] ).

cnf(5487,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5435]),
    [iquote('0:Rew:1.0,5435.0')] ).

cnf(5378,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5308]),
    [iquote('0:Rew:1.0,5308.0')] ).

cnf(5377,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5309]),
    [iquote('0:Rew:1.0,5309.0')] ).

cnf(5376,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5310]),
    [iquote('0:Rew:1.0,5310.0')] ).

cnf(5375,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5311]),
    [iquote('0:Rew:1.0,5311.0')] ).

cnf(18953,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[5374,11]),
    [iquote('0:SpR:5374.0,11.0')] ).

cnf(5374,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5312]),
    [iquote('0:Rew:1.0,5312.0')] ).

cnf(5373,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5313]),
    [iquote('0:Rew:1.0,5313.0')] ).

cnf(5372,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5314]),
    [iquote('0:Rew:1.0,5314.0')] ).

cnf(5371,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5315]),
    [iquote('0:Rew:1.0,5315.0')] ).

cnf(5370,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5316]),
    [iquote('0:Rew:1.0,5316.0')] ).

cnf(5369,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5317]),
    [iquote('0:Rew:1.0,5317.0')] ).

cnf(14563,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n1,n1,u,sK1_relation_exists_F(n1,n1,n1,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14530]),
    [iquote('0:Rew:1.0,14530.0')] ).

cnf(14562,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n1,n1,u,sK1_relation_exists_F(n0,n1,n1,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14531]),
    [iquote('0:Rew:1.0,14531.0')] ).

cnf(14251,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n1,n1,u,sK1_relation_exists_F(n1,n0,n1,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14218]),
    [iquote('0:Rew:1.0,14218.0')] ).

cnf(14250,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n1,n1,u,sK1_relation_exists_F(n0,n0,n1,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14219]),
    [iquote('0:Rew:1.0,14219.0')] ).

cnf(13882,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n0,n1,u,sK1_relation_exists_F(n1,n1,n0,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13849]),
    [iquote('0:Rew:1.0,13849.0')] ).

cnf(13881,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n0,n1,u,sK1_relation_exists_F(n0,n1,n0,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13850]),
    [iquote('0:Rew:1.0,13850.0')] ).

cnf(13771,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n0,n1,u,sK1_relation_exists_F(n1,n0,n0,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13734]),
    [iquote('0:Rew:1.0,13734.0')] ).

cnf(13770,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n0,n1,u,sK1_relation_exists_F(n0,n0,n0,n1,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13735]),
    [iquote('0:Rew:1.0,13735.0')] ).

cnf(12439,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n1,n0,u,sK1_relation_exists_F(n1,n1,n1,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12402]),
    [iquote('0:Rew:1.0,12402.0')] ).

cnf(12438,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n1,n0,u,sK1_relation_exists_F(n0,n1,n1,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12403]),
    [iquote('0:Rew:1.0,12403.0')] ).

cnf(12324,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n1,n0,u,sK1_relation_exists_F(n1,n0,n1,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12287]),
    [iquote('0:Rew:1.0,12287.0')] ).

cnf(12323,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n1,n0,u,sK1_relation_exists_F(n0,n0,n1,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12288]),
    [iquote('0:Rew:1.0,12288.0')] ).

cnf(11754,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n0,n0,u,sK1_relation_exists_F(n1,n1,n0,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11715]),
    [iquote('0:Rew:1.0,11715.0')] ).

cnf(11753,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n0,n0,u,sK1_relation_exists_F(n0,n1,n0,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11716]),
    [iquote('0:Rew:1.0,11716.0')] ).

cnf(11631,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n0,n0,u,sK1_relation_exists_F(n1,n0,n0,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11592]),
    [iquote('0:Rew:1.0,11592.0')] ).

cnf(11630,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n0,n0,u,sK1_relation_exists_F(n0,n0,n0,n0,u)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11593]),
    [iquote('0:Rew:1.0,11593.0')] ).

cnf(10619,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n1,u,n1,sK1_relation_exists_F(n1,n1,n1,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10596]),
    [iquote('0:Rew:1.0,10596.0')] ).

cnf(10618,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n1,u,n1,sK1_relation_exists_F(n0,n1,n1,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10597]),
    [iquote('0:Rew:1.0,10597.0')] ).

cnf(10525,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n1,u,n1,sK1_relation_exists_F(n1,n0,n1,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10502]),
    [iquote('0:Rew:1.0,10502.0')] ).

cnf(10524,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n1,u,n1,sK1_relation_exists_F(n0,n0,n1,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10503]),
    [iquote('0:Rew:1.0,10503.0')] ).

cnf(10022,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n0,u,n1,sK1_relation_exists_F(n1,n1,n0,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9999]),
    [iquote('0:Rew:1.0,9999.0')] ).

cnf(10021,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n0,u,n1,sK1_relation_exists_F(n0,n1,n0,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10000]),
    [iquote('0:Rew:1.0,10000.0')] ).

cnf(9922,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n0,u,n1,sK1_relation_exists_F(n1,n0,n0,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9895]),
    [iquote('0:Rew:1.0,9895.0')] ).

cnf(9921,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n0,u,n1,sK1_relation_exists_F(n0,n0,n0,u,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9896]),
    [iquote('0:Rew:1.0,9896.0')] ).

cnf(9381,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,u,n1,n1,sK1_relation_exists_F(n1,n1,u,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9358]),
    [iquote('0:Rew:1.0,9358.0')] ).

cnf(9380,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,u,n1,n1,sK1_relation_exists_F(n0,n1,u,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9359]),
    [iquote('0:Rew:1.0,9359.0')] ).

cnf(9115,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,u,n1,n1,sK1_relation_exists_F(n1,n0,u,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9092]),
    [iquote('0:Rew:1.0,9092.0')] ).

cnf(9114,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,u,n1,n1,sK1_relation_exists_F(n0,n0,u,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9093]),
    [iquote('0:Rew:1.0,9093.0')] ).

cnf(8851,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n1,n1,n1,sK1_relation_exists_F(n1,u,n1,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8828]),
    [iquote('0:Rew:1.0,8828.0')] ).

cnf(8850,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n1,n1,n1,sK1_relation_exists_F(n0,u,n1,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8829]),
    [iquote('0:Rew:1.0,8829.0')] ).

cnf(4271,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n1,n1,v,u,sK1_relation_exists_F(n1,n1,n1,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4248]),
    [iquote('0:Rew:1.0,4248.0')] ).

cnf(4270,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n1,n1,v,u,sK1_relation_exists_F(n0,n1,n1,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4249]),
    [iquote('0:Rew:1.0,4249.0')] ).

cnf(4169,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n0,n1,v,u,sK1_relation_exists_F(n1,n0,n1,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4144]),
    [iquote('0:Rew:1.0,4144.0')] ).

cnf(16287,plain,
    equal(f(n0,n1,n1,n1,n1,sK1_relation_exists_F(n0,n1,n1,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16266]),
    [iquote('0:Rew:1.0,16266.0')] ).

cnf(16286,plain,
    equal(f(n1,n1,n1,n1,n1,sK1_relation_exists_F(n1,n1,n1,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16265]),
    [iquote('0:Rew:1.0,16265.0')] ).

cnf(8849,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n1,n1,n1,sK1_relation_exists_F(u,n1,n1,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8830]),
    [iquote('0:Rew:1.0,8830.0')] ).

cnf(4168,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n0,n1,v,u,sK1_relation_exists_F(n0,n0,n1,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4145]),
    [iquote('0:Rew:1.0,4145.0')] ).

cnf(3894,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n1,n0,v,u,sK1_relation_exists_F(n1,n1,n0,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3871]),
    [iquote('0:Rew:1.0,3871.0')] ).

cnf(3893,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n1,n0,v,u,sK1_relation_exists_F(n0,n1,n0,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3872]),
    [iquote('0:Rew:1.0,3872.0')] ).

cnf(3810,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n0,n0,v,u,sK1_relation_exists_F(n1,n0,n0,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3785]),
    [iquote('0:Rew:1.0,3785.0')] ).

cnf(3809,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n0,n0,v,u,sK1_relation_exists_F(n0,n0,n0,v,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3786]),
    [iquote('0:Rew:1.0,3786.0')] ).

cnf(15335,plain,
    equal(f(n0,n0,n1,n1,n1,sK1_relation_exists_F(n0,n0,n1,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15314]),
    [iquote('0:Rew:1.0,15314.0')] ).

cnf(3480,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n1,v,n1,u,sK1_relation_exists_F(n1,n1,v,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3463]),
    [iquote('0:Rew:1.0,3463.0')] ).

cnf(15334,plain,
    equal(f(n1,n0,n1,n1,n1,sK1_relation_exists_F(n1,n0,n1,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15313]),
    [iquote('0:Rew:1.0,15313.0')] ).

cnf(8848,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n1,n1,n1,sK1_relation_exists_F(u,n0,n1,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8831]),
    [iquote('0:Rew:1.0,8831.0')] ).

cnf(8592,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n0,n1,n1,sK1_relation_exists_F(n1,u,n0,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8569]),
    [iquote('0:Rew:1.0,8569.0')] ).

cnf(8591,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n0,n1,n1,sK1_relation_exists_F(n0,u,n0,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8570]),
    [iquote('0:Rew:1.0,8570.0')] ).

cnf(3479,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n1,v,n1,u,sK1_relation_exists_F(n0,n1,v,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3464]),
    [iquote('0:Rew:1.0,3464.0')] ).

cnf(3392,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n0,v,n1,u,sK1_relation_exists_F(n1,n0,v,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3375]),
    [iquote('0:Rew:1.0,3375.0')] ).

cnf(3391,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n0,v,n1,u,sK1_relation_exists_F(n0,n0,v,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3376]),
    [iquote('0:Rew:1.0,3376.0')] ).

cnf(3311,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n1,n1,u,sK1_relation_exists_F(n1,v,n1,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3294]),
    [iquote('0:Rew:1.0,3294.0')] ).

cnf(3310,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n1,n1,u,sK1_relation_exists_F(n0,v,n1,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3295]),
    [iquote('0:Rew:1.0,3295.0')] ).

cnf(3309,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n1,n1,u,sK1_relation_exists_F(v,n1,n1,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3296]),
    [iquote('0:Rew:1.0,3296.0')] ).

cnf(14316,plain,
    equal(f(n0,n1,n0,n1,n1,sK1_relation_exists_F(n0,n1,n0,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14296]),
    [iquote('0:Rew:1.0,14296.0')] ).

cnf(14315,plain,
    equal(f(n1,n1,n0,n1,n1,sK1_relation_exists_F(n1,n1,n0,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14295]),
    [iquote('0:Rew:1.0,14295.0')] ).

cnf(8590,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n0,n1,n1,sK1_relation_exists_F(u,n1,n0,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8571]),
    [iquote('0:Rew:1.0,8571.0')] ).

cnf(3308,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n1,n1,u,sK1_relation_exists_F(v,n0,n1,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3297]),
    [iquote('0:Rew:1.0,3297.0')] ).

cnf(3232,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n0,n1,u,sK1_relation_exists_F(n1,v,n0,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3215]),
    [iquote('0:Rew:1.0,3215.0')] ).

cnf(3231,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n0,n1,u,sK1_relation_exists_F(n0,v,n0,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3216]),
    [iquote('0:Rew:1.0,3216.0')] ).

cnf(3230,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n0,n1,u,sK1_relation_exists_F(v,n1,n0,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3217]),
    [iquote('0:Rew:1.0,3217.0')] ).

cnf(3229,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n0,n1,u,sK1_relation_exists_F(v,n0,n0,n1,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3218]),
    [iquote('0:Rew:1.0,3218.0')] ).

cnf(13419,plain,
    equal(f(n0,n0,n0,n1,n1,sK1_relation_exists_F(n0,n0,n0,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13401]),
    [iquote('0:Rew:1.0,13401.0')] ).

cnf(2794,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n1,v,n0,u,sK1_relation_exists_F(n1,n1,v,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2769]),
    [iquote('0:Rew:1.0,2769.0')] ).

cnf(13418,plain,
    equal(f(n1,n0,n0,n1,n1,sK1_relation_exists_F(n1,n0,n0,n1,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13400]),
    [iquote('0:Rew:1.0,13400.0')] ).

cnf(8589,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n0,n1,n1,sK1_relation_exists_F(u,n0,n0,n1,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8572]),
    [iquote('0:Rew:1.0,8572.0')] ).

cnf(8276,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,u,n0,n1,sK1_relation_exists_F(n1,n1,u,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8253]),
    [iquote('0:Rew:1.0,8253.0')] ).

cnf(8275,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,u,n0,n1,sK1_relation_exists_F(n0,n1,u,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8254]),
    [iquote('0:Rew:1.0,8254.0')] ).

cnf(2793,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n1,v,n0,u,sK1_relation_exists_F(n0,n1,v,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2770]),
    [iquote('0:Rew:1.0,2770.0')] ).

cnf(8183,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,u,n0,n1,sK1_relation_exists_F(n1,n0,u,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8160]),
    [iquote('0:Rew:1.0,8160.0')] ).

cnf(8182,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,u,n0,n1,sK1_relation_exists_F(n0,n0,u,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8161]),
    [iquote('0:Rew:1.0,8161.0')] ).

cnf(8091,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n1,n0,n1,sK1_relation_exists_F(n1,u,n1,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8068]),
    [iquote('0:Rew:1.0,8068.0')] ).

cnf(8090,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n1,n0,n1,sK1_relation_exists_F(n0,u,n1,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8069]),
    [iquote('0:Rew:1.0,8069.0')] ).

cnf(2698,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n0,v,n0,u,sK1_relation_exists_F(n1,n0,v,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2669]),
    [iquote('0:Rew:1.0,2669.0')] ).

cnf(2697,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n0,v,n0,u,sK1_relation_exists_F(n0,n0,v,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2670]),
    [iquote('0:Rew:1.0,2670.0')] ).

cnf(2600,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n1,n0,u,sK1_relation_exists_F(n1,v,n1,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2577]),
    [iquote('0:Rew:1.0,2577.0')] ).

cnf(2599,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n1,n0,u,sK1_relation_exists_F(n0,v,n1,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2578]),
    [iquote('0:Rew:1.0,2578.0')] ).

cnf(2598,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n1,n0,u,sK1_relation_exists_F(v,n1,n1,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2580]),
    [iquote('0:Rew:1.0,2580.0')] ).

cnf(2597,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n1,n0,u,sK1_relation_exists_F(v,n0,n1,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2581]),
    [iquote('0:Rew:1.0,2581.0')] ).

cnf(12079,plain,
    equal(f(n0,n1,n1,n0,n1,sK1_relation_exists_F(n0,n1,n1,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12061]),
    [iquote('0:Rew:1.0,12061.0')] ).

cnf(12078,plain,
    equal(f(n1,n1,n1,n0,n1,sK1_relation_exists_F(n1,n1,n1,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12060]),
    [iquote('0:Rew:1.0,12060.0')] ).

cnf(8089,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n1,n0,n1,sK1_relation_exists_F(u,n1,n1,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8070]),
    [iquote('0:Rew:1.0,8070.0')] ).

cnf(2462,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n0,n0,u,sK1_relation_exists_F(n1,v,n0,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2431]),
    [iquote('0:Rew:1.0,2431.0')] ).

cnf(2461,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n0,n0,u,sK1_relation_exists_F(n0,v,n0,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2432]),
    [iquote('0:Rew:1.0,2432.0')] ).

cnf(2460,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n0,n0,u,sK1_relation_exists_F(v,n1,n0,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2437]),
    [iquote('0:Rew:1.0,2437.0')] ).

cnf(2459,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n0,n0,u,sK1_relation_exists_F(v,n0,n0,n0,u)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2438]),
    [iquote('0:Rew:1.0,2438.0')] ).

cnf(2118,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n1,v,u,n1,sK1_relation_exists_F(n1,n1,v,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2101]),
    [iquote('0:Rew:1.0,2101.0')] ).

cnf(11198,plain,
    equal(f(n0,n0,n1,n0,n1,sK1_relation_exists_F(n0,n0,n1,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11180]),
    [iquote('0:Rew:1.0,11180.0')] ).

cnf(2117,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n1,v,u,n1,sK1_relation_exists_F(n0,n1,v,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2102]),
    [iquote('0:Rew:1.0,2102.0')] ).

cnf(11197,plain,
    equal(f(n1,n0,n1,n0,n1,sK1_relation_exists_F(n1,n0,n1,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11179]),
    [iquote('0:Rew:1.0,11179.0')] ).

cnf(8088,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n1,n0,n1,sK1_relation_exists_F(u,n0,n1,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8071]),
    [iquote('0:Rew:1.0,8071.0')] ).

cnf(7809,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n0,n0,n1,sK1_relation_exists_F(n1,u,n0,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7786]),
    [iquote('0:Rew:1.0,7786.0')] ).

cnf(7808,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n0,n0,n1,sK1_relation_exists_F(n0,u,n0,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7787]),
    [iquote('0:Rew:1.0,7787.0')] ).

cnf(2043,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n0,v,u,n1,sK1_relation_exists_F(n1,n0,v,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2026]),
    [iquote('0:Rew:1.0,2026.0')] ).

cnf(2042,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n0,v,u,n1,sK1_relation_exists_F(n0,n0,v,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2027]),
    [iquote('0:Rew:1.0,2027.0')] ).

cnf(1959,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n1,u,n1,sK1_relation_exists_F(n1,v,n1,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1942]),
    [iquote('0:Rew:1.0,1942.0')] ).

cnf(1958,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n1,u,n1,sK1_relation_exists_F(n0,v,n1,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1943]),
    [iquote('0:Rew:1.0,1943.0')] ).

cnf(1957,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n1,u,n1,sK1_relation_exists_F(v,n1,n1,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1944]),
    [iquote('0:Rew:1.0,1944.0')] ).

cnf(1956,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n1,u,n1,sK1_relation_exists_F(v,n0,n1,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1945]),
    [iquote('0:Rew:1.0,1945.0')] ).

cnf(10305,plain,
    equal(f(n0,n1,n0,n0,n1,sK1_relation_exists_F(n0,n1,n0,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10288]),
    [iquote('0:Rew:1.0,10288.0')] ).

cnf(10304,plain,
    equal(f(n1,n1,n0,n0,n1,sK1_relation_exists_F(n1,n1,n0,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10287]),
    [iquote('0:Rew:1.0,10287.0')] ).

cnf(7807,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n0,n0,n1,sK1_relation_exists_F(u,n1,n0,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7788]),
    [iquote('0:Rew:1.0,7788.0')] ).

cnf(1893,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n0,u,n1,sK1_relation_exists_F(n1,v,n0,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1876]),
    [iquote('0:Rew:1.0,1876.0')] ).

cnf(1892,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n0,u,n1,sK1_relation_exists_F(n0,v,n0,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1877]),
    [iquote('0:Rew:1.0,1877.0')] ).

cnf(1891,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n0,u,n1,sK1_relation_exists_F(v,n1,n0,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1878]),
    [iquote('0:Rew:1.0,1878.0')] ).

cnf(1890,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n0,u,n1,sK1_relation_exists_F(v,n0,n0,u,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1879]),
    [iquote('0:Rew:1.0,1879.0')] ).

cnf(1807,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,u,n1,n1,sK1_relation_exists_F(n1,v,u,n1,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1790]),
    [iquote('0:Rew:1.0,1790.0')] ).

cnf(9530,plain,
    equal(f(n0,n0,n0,n0,n1,sK1_relation_exists_F(n0,n0,n0,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9515]),
    [iquote('0:Rew:1.0,9515.0')] ).

cnf(1806,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,u,n1,n1,sK1_relation_exists_F(n0,v,u,n1,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1791]),
    [iquote('0:Rew:1.0,1791.0')] ).

cnf(9529,plain,
    equal(f(n1,n0,n0,n0,n1,sK1_relation_exists_F(n1,n0,n0,n0,n1)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9514]),
    [iquote('0:Rew:1.0,9514.0')] ).

cnf(7806,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n0,n0,n1,sK1_relation_exists_F(u,n0,n0,n0,n1)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7789]),
    [iquote('0:Rew:1.0,7789.0')] ).

cnf(6753,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n1,u,n0,sK1_relation_exists_F(n1,n1,n1,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6722]),
    [iquote('0:Rew:1.0,6722.0')] ).

cnf(6752,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n1,u,n0,sK1_relation_exists_F(n0,n1,n1,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6723]),
    [iquote('0:Rew:1.0,6723.0')] ).

cnf(1805,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,u,n1,n1,sK1_relation_exists_F(v,n1,u,n1,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1792]),
    [iquote('0:Rew:1.0,1792.0')] ).

cnf(6634,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n1,u,n0,sK1_relation_exists_F(n1,n0,n1,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6603]),
    [iquote('0:Rew:1.0,6603.0')] ).

cnf(6633,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n1,u,n0,sK1_relation_exists_F(n0,n0,n1,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6604]),
    [iquote('0:Rew:1.0,6604.0')] ).

cnf(6299,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,n0,u,n0,sK1_relation_exists_F(n1,n1,n0,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6264]),
    [iquote('0:Rew:1.0,6264.0')] ).

cnf(6298,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,n0,u,n0,sK1_relation_exists_F(n0,n1,n0,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6265]),
    [iquote('0:Rew:1.0,6265.0')] ).

cnf(1804,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,u,n1,n1,sK1_relation_exists_F(v,n0,u,n1,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1793]),
    [iquote('0:Rew:1.0,1793.0')] ).

cnf(6016,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,n0,u,n0,sK1_relation_exists_F(n1,n0,n0,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5981]),
    [iquote('0:Rew:1.0,5981.0')] ).

cnf(6015,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,n0,u,n0,sK1_relation_exists_F(n0,n0,n0,u,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5982]),
    [iquote('0:Rew:1.0,5982.0')] ).

cnf(5680,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,u,n1,n0,sK1_relation_exists_F(n1,n1,u,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5657]),
    [iquote('0:Rew:1.0,5657.0')] ).

cnf(5679,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,u,n1,n0,sK1_relation_exists_F(n0,n1,u,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5658]),
    [iquote('0:Rew:1.0,5658.0')] ).

cnf(1803,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n1,n1,n1,sK1_relation_exists_F(v,u,n1,n1,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1794]),
    [iquote('0:Rew:1.0,1794.0')] ).

cnf(5586,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,u,n1,n0,sK1_relation_exists_F(n1,n0,u,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5559]),
    [iquote('0:Rew:1.0,5559.0')] ).

cnf(5585,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,u,n1,n0,sK1_relation_exists_F(n0,n0,u,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5560]),
    [iquote('0:Rew:1.0,5560.0')] ).

cnf(5425,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n1,n1,n0,sK1_relation_exists_F(n1,u,n1,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5402]),
    [iquote('0:Rew:1.0,5402.0')] ).

cnf(5424,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n1,n1,n0,sK1_relation_exists_F(n0,u,n1,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5403]),
    [iquote('0:Rew:1.0,5403.0')] ).

cnf(1802,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n0,n1,n1,sK1_relation_exists_F(v,u,n0,n1,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1795]),
    [iquote('0:Rew:1.0,1795.0')] ).

cnf(1728,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,u,n0,n1,sK1_relation_exists_F(n1,v,u,n0,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1711]),
    [iquote('0:Rew:1.0,1711.0')] ).

cnf(1727,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,u,n0,n1,sK1_relation_exists_F(n0,v,u,n0,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1712]),
    [iquote('0:Rew:1.0,1712.0')] ).

cnf(1726,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,u,n0,n1,sK1_relation_exists_F(v,n1,u,n0,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1713]),
    [iquote('0:Rew:1.0,1713.0')] ).

cnf(1725,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,u,n0,n1,sK1_relation_exists_F(v,n0,u,n0,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1714]),
    [iquote('0:Rew:1.0,1714.0')] ).

cnf(1724,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n1,n0,n1,sK1_relation_exists_F(v,u,n1,n0,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1715]),
    [iquote('0:Rew:1.0,1715.0')] ).

cnf(7870,plain,
    equal(f(n0,n1,n1,n1,n0,sK1_relation_exists_F(n0,n1,n1,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7852]),
    [iquote('0:Rew:1.0,7852.0')] ).

cnf(7869,plain,
    equal(f(n1,n1,n1,n1,n0,sK1_relation_exists_F(n1,n1,n1,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7851]),
    [iquote('0:Rew:1.0,7851.0')] ).

cnf(5423,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n1,n1,n0,sK1_relation_exists_F(u,n1,n1,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5404]),
    [iquote('0:Rew:1.0,5404.0')] ).

cnf(1723,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n0,n0,n1,sK1_relation_exists_F(v,u,n0,n0,n1)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1716]),
    [iquote('0:Rew:1.0,1716.0')] ).

cnf(1478,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n1,v,u,n0,sK1_relation_exists_F(n1,n1,v,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1455]),
    [iquote('0:Rew:1.0,1455.0')] ).

cnf(1477,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n1,v,u,n0,sK1_relation_exists_F(n0,n1,v,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1456]),
    [iquote('0:Rew:1.0,1456.0')] ).

cnf(1385,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,n0,v,u,n0,sK1_relation_exists_F(n1,n0,v,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1360]),
    [iquote('0:Rew:1.0,1360.0')] ).

cnf(1384,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,n0,v,u,n0,sK1_relation_exists_F(n0,n0,v,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1361]),
    [iquote('0:Rew:1.0,1361.0')] ).

cnf(7019,plain,
    equal(f(n0,n0,n1,n1,n0,sK1_relation_exists_F(n0,n0,n1,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7002]),
    [iquote('0:Rew:1.0,7002.0')] ).

cnf(1269,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n1,u,n0,sK1_relation_exists_F(n1,v,n1,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1252]),
    [iquote('0:Rew:1.0,1252.0')] ).

cnf(7018,plain,
    equal(f(n1,n0,n1,n1,n0,sK1_relation_exists_F(n1,n0,n1,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7001]),
    [iquote('0:Rew:1.0,7001.0')] ).

cnf(5422,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n1,n1,n0,sK1_relation_exists_F(u,n0,n1,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5405]),
    [iquote('0:Rew:1.0,5405.0')] ).

cnf(5268,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n0,n1,n0,sK1_relation_exists_F(n1,u,n0,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5245]),
    [iquote('0:Rew:1.0,5245.0')] ).

cnf(5267,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n0,n1,n0,sK1_relation_exists_F(n0,u,n0,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5246]),
    [iquote('0:Rew:1.0,5246.0')] ).

cnf(1268,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n1,u,n0,sK1_relation_exists_F(n0,v,n1,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1253]),
    [iquote('0:Rew:1.0,1253.0')] ).

cnf(1267,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n1,u,n0,sK1_relation_exists_F(v,n1,n1,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1254]),
    [iquote('0:Rew:1.0,1254.0')] ).

cnf(1266,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n1,u,n0,sK1_relation_exists_F(v,n0,n1,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1255]),
    [iquote('0:Rew:1.0,1255.0')] ).

cnf(1179,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,n0,u,n0,sK1_relation_exists_F(n1,v,n0,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1152]),
    [iquote('0:Rew:1.0,1152.0')] ).

cnf(1178,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,n0,u,n0,sK1_relation_exists_F(n0,v,n0,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1153]),
    [iquote('0:Rew:1.0,1153.0')] ).

cnf(1177,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,n0,u,n0,sK1_relation_exists_F(v,n1,n0,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1156]),
    [iquote('0:Rew:1.0,1156.0')] ).

cnf(6071,plain,
    equal(f(n0,n1,n0,n1,n0,sK1_relation_exists_F(n0,n1,n0,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6056]),
    [iquote('0:Rew:1.0,6056.0')] ).

cnf(6070,plain,
    equal(f(n1,n1,n0,n1,n0,sK1_relation_exists_F(n1,n1,n0,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6055]),
    [iquote('0:Rew:1.0,6055.0')] ).

cnf(5266,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n0,n1,n0,sK1_relation_exists_F(u,n1,n0,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5247]),
    [iquote('0:Rew:1.0,5247.0')] ).

cnf(1176,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,n0,u,n0,sK1_relation_exists_F(v,n0,n0,u,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1157]),
    [iquote('0:Rew:1.0,1157.0')] ).

cnf(1079,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,u,n1,n0,sK1_relation_exists_F(n1,v,u,n1,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1062]),
    [iquote('0:Rew:1.0,1062.0')] ).

cnf(1078,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,u,n1,n0,sK1_relation_exists_F(n0,v,u,n1,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1063]),
    [iquote('0:Rew:1.0,1063.0')] ).

cnf(1077,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,u,n1,n0,sK1_relation_exists_F(v,n1,u,n1,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1064]),
    [iquote('0:Rew:1.0,1064.0')] ).

cnf(1076,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,u,n1,n0,sK1_relation_exists_F(v,n0,u,n1,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1065]),
    [iquote('0:Rew:1.0,1065.0')] ).

cnf(5301,plain,
    equal(f(n0,n0,n0,n1,n0,sK1_relation_exists_F(n0,n0,n0,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5288]),
    [iquote('0:Rew:1.0,5288.0')] ).

cnf(1075,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n1,n1,n0,sK1_relation_exists_F(v,u,n1,n1,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1066]),
    [iquote('0:Rew:1.0,1066.0')] ).

cnf(5300,plain,
    equal(f(n1,n0,n0,n1,n0,sK1_relation_exists_F(n1,n0,n0,n1,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5287]),
    [iquote('0:Rew:1.0,5287.0')] ).

cnf(5265,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n0,n1,n0,sK1_relation_exists_F(u,n0,n0,n1,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5248]),
    [iquote('0:Rew:1.0,5248.0')] ).

cnf(1074,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n0,n1,n0,sK1_relation_exists_F(v,u,n0,n1,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1067]),
    [iquote('0:Rew:1.0,1067.0')] ).

cnf(149,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n1,v,u,n0,n0,sK1_relation_exists_F(n1,v,u,n0,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,136]),
    [iquote('0:Rew:1.0,136.0')] ).

cnf(148,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(n0,v,u,n0,n0,sK1_relation_exists_F(n0,v,u,n0,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,137]),
    [iquote('0:Rew:1.0,137.0')] ).

cnf(5007,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n1,u,n0,n0,sK1_relation_exists_F(n1,n1,u,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4972]),
    [iquote('0:Rew:1.0,4972.0')] ).

cnf(5006,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n1,u,n0,n0,sK1_relation_exists_F(n0,n1,u,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4973]),
    [iquote('0:Rew:1.0,4973.0')] ).

cnf(147,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n1,u,n0,n0,sK1_relation_exists_F(v,n1,u,n0,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,138]),
    [iquote('0:Rew:1.0,138.0')] ).

cnf(4813,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,n0,u,n0,n0,sK1_relation_exists_F(n1,n0,u,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4778]),
    [iquote('0:Rew:1.0,4778.0')] ).

cnf(744,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,n1,w,v,u,sK1_relation_exists_F(n1,n1,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,728]),
    [iquote('0:Rew:1.0,728.0')] ).

cnf(4812,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,n0,u,n0,n0,sK1_relation_exists_F(n0,n0,u,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4779]),
    [iquote('0:Rew:1.0,4779.0')] ).

cnf(146,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,n0,u,n0,n0,sK1_relation_exists_F(v,n0,u,n0,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,139]),
    [iquote('0:Rew:1.0,139.0')] ).

cnf(3197,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3133]),
    [iquote('0:Rew:1.0,3133.0')] ).

cnf(3196,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3134]),
    [iquote('0:Rew:1.0,3134.0')] ).

cnf(743,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,n1,w,v,u,sK1_relation_exists_F(n0,n1,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,729]),
    [iquote('0:Rew:1.0,729.0')] ).

cnf(3195,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3135]),
    [iquote('0:Rew:1.0,3135.0')] ).

cnf(3194,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3136]),
    [iquote('0:Rew:1.0,3136.0')] ).

cnf(4628,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3193,11]),
    [iquote('0:SpR:3193.0,11.0')] ).

cnf(3193,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3137]),
    [iquote('0:Rew:1.0,3137.0')] ).

cnf(656,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,n0,w,v,u,sK1_relation_exists_F(n1,n0,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,632]),
    [iquote('0:Rew:1.0,632.0')] ).

cnf(3192,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3138]),
    [iquote('0:Rew:1.0,3138.0')] ).

cnf(3191,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3139]),
    [iquote('0:Rew:1.0,3139.0')] ).

cnf(3190,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3140]),
    [iquote('0:Rew:1.0,3140.0')] ).

cnf(3189,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3141]),
    [iquote('0:Rew:1.0,3141.0')] ).

cnf(655,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,n0,w,v,u,sK1_relation_exists_F(n0,n0,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,633]),
    [iquote('0:Rew:1.0,633.0')] ).

cnf(3188,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3142]),
    [iquote('0:Rew:1.0,3142.0')] ).

cnf(3126,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3062]),
    [iquote('0:Rew:1.0,3062.0')] ).

cnf(3125,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3063]),
    [iquote('0:Rew:1.0,3063.0')] ).

cnf(3124,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3064]),
    [iquote('0:Rew:1.0,3064.0')] ).

cnf(559,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,w,n1,v,u,sK1_relation_exists_F(n1,w,n1,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,543]),
    [iquote('0:Rew:1.0,543.0')] ).

cnf(3123,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3065]),
    [iquote('0:Rew:1.0,3065.0')] ).

cnf(4364,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3122,11]),
    [iquote('0:SpR:3122.0,11.0')] ).

cnf(3122,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3066]),
    [iquote('0:Rew:1.0,3066.0')] ).

cnf(3121,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3067]),
    [iquote('0:Rew:1.0,3067.0')] ).

cnf(558,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,w,n1,v,u,sK1_relation_exists_F(n0,w,n1,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,544]),
    [iquote('0:Rew:1.0,544.0')] ).

cnf(3120,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3068]),
    [iquote('0:Rew:1.0,3068.0')] ).

cnf(3119,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3069]),
    [iquote('0:Rew:1.0,3069.0')] ).

cnf(3118,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3070]),
    [iquote('0:Rew:1.0,3070.0')] ).

cnf(3117,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3071]),
    [iquote('0:Rew:1.0,3071.0')] ).

cnf(557,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n1,n1,v,u,sK1_relation_exists_F(w,n1,n1,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,545]),
    [iquote('0:Rew:1.0,545.0')] ).

cnf(2521,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2463]),
    [iquote('0:Rew:1.0,2463.0')] ).

cnf(2520,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2464]),
    [iquote('0:Rew:1.0,2464.0')] ).

cnf(2519,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2465]),
    [iquote('0:Rew:1.0,2465.0')] ).

cnf(2518,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2466]),
    [iquote('0:Rew:1.0,2466.0')] ).

cnf(556,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n0,n1,v,u,sK1_relation_exists_F(w,n0,n1,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,546]),
    [iquote('0:Rew:1.0,546.0')] ).

cnf(4102,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[2517,11]),
    [iquote('0:SpR:2517.0,11.0')] ).

cnf(2517,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2467]),
    [iquote('0:Rew:1.0,2467.0')] ).

cnf(2516,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2468]),
    [iquote('0:Rew:1.0,2468.0')] ).

cnf(2515,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2469]),
    [iquote('0:Rew:1.0,2469.0')] ).

cnf(480,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,w,n0,v,u,sK1_relation_exists_F(n1,w,n0,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,456]),
    [iquote('0:Rew:1.0,456.0')] ).

cnf(2514,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2470]),
    [iquote('0:Rew:1.0,2470.0')] ).

cnf(2513,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2471]),
    [iquote('0:Rew:1.0,2471.0')] ).

cnf(2512,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2472]),
    [iquote('0:Rew:1.0,2472.0')] ).

cnf(2409,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2351]),
    [iquote('0:Rew:1.0,2351.0')] ).

cnf(479,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,w,n0,v,u,sK1_relation_exists_F(n0,w,n0,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,457]),
    [iquote('0:Rew:1.0,457.0')] ).

cnf(2408,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2352]),
    [iquote('0:Rew:1.0,2352.0')] ).

cnf(2407,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2353]),
    [iquote('0:Rew:1.0,2353.0')] ).

cnf(2406,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2354]),
    [iquote('0:Rew:1.0,2354.0')] ).

cnf(3841,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[2405,11]),
    [iquote('0:SpR:2405.0,11.0')] ).

cnf(478,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n1,n0,v,u,sK1_relation_exists_F(w,n1,n0,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,459]),
    [iquote('0:Rew:1.0,459.0')] ).

cnf(2405,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2355]),
    [iquote('0:Rew:1.0,2355.0')] ).

cnf(2404,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2356]),
    [iquote('0:Rew:1.0,2356.0')] ).

cnf(2403,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2357]),
    [iquote('0:Rew:1.0,2357.0')] ).

cnf(2402,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2358]),
    [iquote('0:Rew:1.0,2358.0')] ).

cnf(477,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n0,n0,v,u,sK1_relation_exists_F(w,n0,n0,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,460]),
    [iquote('0:Rew:1.0,460.0')] ).

cnf(2401,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2359]),
    [iquote('0:Rew:1.0,2359.0')] ).

cnf(2400,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2360]),
    [iquote('0:Rew:1.0,2360.0')] ).

cnf(2323,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n1,n0,n0,sK1_relation_exists_F(n1,u,n1,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2306]),
    [iquote('0:Rew:1.0,2306.0')] ).

cnf(2322,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n1,n0,n0,sK1_relation_exists_F(n0,u,n1,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2307]),
    [iquote('0:Rew:1.0,2307.0')] ).

cnf(398,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,w,v,n1,u,sK1_relation_exists_F(n1,w,v,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,382]),
    [iquote('0:Rew:1.0,382.0')] ).

cnf(397,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,w,v,n1,u,sK1_relation_exists_F(n0,w,v,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,383]),
    [iquote('0:Rew:1.0,383.0')] ).

cnf(396,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n1,v,n1,u,sK1_relation_exists_F(w,n1,v,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,384]),
    [iquote('0:Rew:1.0,384.0')] ).

cnf(395,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n0,v,n1,u,sK1_relation_exists_F(w,n0,v,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,385]),
    [iquote('0:Rew:1.0,385.0')] ).

cnf(394,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n1,n1,u,sK1_relation_exists_F(w,v,n1,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,386]),
    [iquote('0:Rew:1.0,386.0')] ).

cnf(393,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n0,n1,u,sK1_relation_exists_F(w,v,n0,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,387]),
    [iquote('0:Rew:1.0,387.0')] ).

cnf(3055,plain,
    equal(f(n0,n1,n1,n0,n0,sK1_relation_exists_F(n0,n1,n1,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3045]),
    [iquote('0:Rew:1.0,3045.0')] ).

cnf(3054,plain,
    equal(f(n1,n1,n1,n0,n0,sK1_relation_exists_F(n1,n1,n1,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3044]),
    [iquote('0:Rew:1.0,3044.0')] ).

cnf(2321,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n1,n0,n0,sK1_relation_exists_F(u,n1,n1,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2308]),
    [iquote('0:Rew:1.0,2308.0')] ).

cnf(328,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,w,v,n0,u,sK1_relation_exists_F(n1,w,v,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,304]),
    [iquote('0:Rew:1.0,304.0')] ).

cnf(327,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,w,v,n0,u,sK1_relation_exists_F(n0,w,v,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,305]),
    [iquote('0:Rew:1.0,305.0')] ).

cnf(326,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n1,v,n0,u,sK1_relation_exists_F(w,n1,v,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,307]),
    [iquote('0:Rew:1.0,307.0')] ).

cnf(325,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n0,v,n0,u,sK1_relation_exists_F(w,n0,v,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,308]),
    [iquote('0:Rew:1.0,308.0')] ).

cnf(324,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n1,n0,u,sK1_relation_exists_F(w,v,n1,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,310]),
    [iquote('0:Rew:1.0,310.0')] ).

cnf(2344,plain,
    equal(f(n0,n0,n1,n0,n0,sK1_relation_exists_F(n0,n0,n1,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2337]),
    [iquote('0:Rew:1.0,2337.0')] ).

cnf(323,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n0,n0,u,sK1_relation_exists_F(w,v,n0,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,311]),
    [iquote('0:Rew:1.0,311.0')] ).

cnf(2343,plain,
    equal(f(n1,n0,n1,n0,n0,sK1_relation_exists_F(n1,n0,n1,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2336]),
    [iquote('0:Rew:1.0,2336.0')] ).

cnf(2320,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n1,n0,n0,sK1_relation_exists_F(u,n0,n1,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2309]),
    [iquote('0:Rew:1.0,2309.0')] ).

cnf(145,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n1,n0,n0,sK1_relation_exists_F(v,u,n1,n0,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,140]),
    [iquote('0:Rew:1.0,140.0')] ).

cnf(872,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,821]),
    [iquote('0:Rew:1.0,821.0')] ).

cnf(168,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,w,v,u,n1,sK1_relation_exists_F(n1,w,v,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,152]),
    [iquote('0:Rew:1.0,152.0')] ).

cnf(871,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,822]),
    [iquote('0:Rew:1.0,822.0')] ).

cnf(870,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,823]),
    [iquote('0:Rew:1.0,823.0')] ).

cnf(869,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,824]),
    [iquote('0:Rew:1.0,824.0')] ).

cnf(2151,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[868,11]),
    [iquote('0:SpR:868.0,11.0')] ).

cnf(167,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,w,v,u,n1,sK1_relation_exists_F(n0,w,v,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,153]),
    [iquote('0:Rew:1.0,153.0')] ).

cnf(868,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,825]),
    [iquote('0:Rew:1.0,825.0')] ).

cnf(867,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,826]),
    [iquote('0:Rew:1.0,826.0')] ).

cnf(866,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,827]),
    [iquote('0:Rew:1.0,827.0')] ).

cnf(865,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,828]),
    [iquote('0:Rew:1.0,828.0')] ).

cnf(166,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n1,v,u,n1,sK1_relation_exists_F(w,n1,v,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,154]),
    [iquote('0:Rew:1.0,154.0')] ).

cnf(864,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,829]),
    [iquote('0:Rew:1.0,829.0')] ).

cnf(863,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,830]),
    [iquote('0:Rew:1.0,830.0')] ).

cnf(815,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,764]),
    [iquote('0:Rew:1.0,764.0')] ).

cnf(814,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,765]),
    [iquote('0:Rew:1.0,765.0')] ).

cnf(165,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n0,v,u,n1,sK1_relation_exists_F(w,n0,v,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,155]),
    [iquote('0:Rew:1.0,155.0')] ).

cnf(813,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,766]),
    [iquote('0:Rew:1.0,766.0')] ).

cnf(812,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,767]),
    [iquote('0:Rew:1.0,767.0')] ).

cnf(1960,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[811,11]),
    [iquote('0:SpR:811.0,11.0')] ).

cnf(811,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,768]),
    [iquote('0:Rew:1.0,768.0')] ).

cnf(164,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n1,u,n1,sK1_relation_exists_F(w,v,n1,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,156]),
    [iquote('0:Rew:1.0,156.0')] ).

cnf(810,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,769]),
    [iquote('0:Rew:1.0,769.0')] ).

cnf(809,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,770]),
    [iquote('0:Rew:1.0,770.0')] ).

cnf(808,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,771]),
    [iquote('0:Rew:1.0,771.0')] ).

cnf(807,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,772]),
    [iquote('0:Rew:1.0,772.0')] ).

cnf(163,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n0,u,n1,sK1_relation_exists_F(w,v,n0,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,157]),
    [iquote('0:Rew:1.0,157.0')] ).

cnf(806,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,773]),
    [iquote('0:Rew:1.0,773.0')] ).

cnf(296,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,248]),
    [iquote('0:Rew:1.0,248.0')] ).

cnf(295,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,249]),
    [iquote('0:Rew:1.0,249.0')] ).

cnf(294,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,250]),
    [iquote('0:Rew:1.0,250.0')] ).

cnf(162,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,u,n1,n1,sK1_relation_exists_F(w,v,u,n1,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,158]),
    [iquote('0:Rew:1.0,158.0')] ).

cnf(293,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,251]),
    [iquote('0:Rew:1.0,251.0')] ).

cnf(1742,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[292,11]),
    [iquote('0:SpR:292.0,11.0')] ).

cnf(292,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,252]),
    [iquote('0:Rew:1.0,252.0')] ).

cnf(291,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,253]),
    [iquote('0:Rew:1.0,253.0')] ).

cnf(161,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,u,n0,n1,sK1_relation_exists_F(w,v,u,n0,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,159]),
    [iquote('0:Rew:1.0,159.0')] ).

cnf(290,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,254]),
    [iquote('0:Rew:1.0,254.0')] ).

cnf(289,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,255]),
    [iquote('0:Rew:1.0,255.0')] ).

cnf(288,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,256]),
    [iquote('0:Rew:1.0,256.0')] ).

cnf(287,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,257]),
    [iquote('0:Rew:1.0,257.0')] ).

cnf(132,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n1,w,v,u,n0,sK1_relation_exists_F(n1,w,v,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,116]),
    [iquote('0:Rew:1.0,116.0')] ).

cnf(245,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,197]),
    [iquote('0:Rew:1.0,197.0')] ).

cnf(244,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,198]),
    [iquote('0:Rew:1.0,198.0')] ).

cnf(243,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,199]),
    [iquote('0:Rew:1.0,199.0')] ).

cnf(242,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,200]),
    [iquote('0:Rew:1.0,200.0')] ).

cnf(131,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(n0,w,v,u,n0,sK1_relation_exists_F(n0,w,v,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,117]),
    [iquote('0:Rew:1.0,117.0')] ).

cnf(1500,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[241,11]),
    [iquote('0:SpR:241.0,11.0')] ).

cnf(241,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(n0,y),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,201]),
    [iquote('0:Rew:1.0,201.0')] ).

cnf(240,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,202]),
    [iquote('0:Rew:1.0,202.0')] ).

cnf(239,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,203]),
    [iquote('0:Rew:1.0,203.0')] ).

cnf(130,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n1,v,u,n0,sK1_relation_exists_F(w,n1,v,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,118]),
    [iquote('0:Rew:1.0,118.0')] ).

cnf(238,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,204]),
    [iquote('0:Rew:1.0,204.0')] ).

cnf(237,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,205]),
    [iquote('0:Rew:1.0,205.0')] ).

cnf(236,plain,
    equal(ifeq(f(u,v,w,x,y,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg,equalish(y,n0),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,206]),
    [iquote('0:Rew:1.0,206.0')] ).

cnf(183,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n1,u,n0,n0,n0,sK1_relation_exists_F(n1,u,n0,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,173]),
    [iquote('0:Rew:1.0,173.0')] ).

cnf(129,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,n0,v,u,n0,sK1_relation_exists_F(w,n0,v,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,119]),
    [iquote('0:Rew:1.0,119.0')] ).

cnf(182,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(n0,u,n0,n0,n0,sK1_relation_exists_F(n0,u,n0,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,174]),
    [iquote('0:Rew:1.0,174.0')] ).

cnf(128,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n1,u,n0,sK1_relation_exists_F(w,v,n1,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,120]),
    [iquote('0:Rew:1.0,120.0')] ).

cnf(127,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,n0,u,n0,sK1_relation_exists_F(w,v,n0,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,121]),
    [iquote('0:Rew:1.0,121.0')] ).

cnf(126,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,u,n1,n0,sK1_relation_exists_F(w,v,u,n1,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,122]),
    [iquote('0:Rew:1.0,122.0')] ).

cnf(95,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(n1,x,w,v,u,sK1_relation_exists_F(n1,x,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,76]),
    [iquote('0:Rew:1.0,76.0')] ).

cnf(94,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(n0,x,w,v,u,sK1_relation_exists_F(n0,x,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,77]),
    [iquote('0:Rew:1.0,77.0')] ).

cnf(758,plain,
    equal(f(n0,n1,n0,n0,n0,sK1_relation_exists_F(n0,n1,n0,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,754]),
    [iquote('0:Rew:1.0,754.0')] ).

cnf(757,plain,
    equal(f(n1,n1,n0,n0,n0,sK1_relation_exists_F(n1,n1,n0,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,753]),
    [iquote('0:Rew:1.0,753.0')] ).

cnf(181,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n1,n0,n0,n0,sK1_relation_exists_F(u,n1,n0,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,175]),
    [iquote('0:Rew:1.0,175.0')] ).

cnf(93,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,n1,w,v,u,sK1_relation_exists_F(x,n1,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,78]),
    [iquote('0:Rew:1.0,78.0')] ).

cnf(92,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,n0,w,v,u,sK1_relation_exists_F(x,n0,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,79]),
    [iquote('0:Rew:1.0,79.0')] ).

cnf(91,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,w,n1,v,u,sK1_relation_exists_F(x,w,n1,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,80]),
    [iquote('0:Rew:1.0,80.0')] ).

cnf(90,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,w,n0,v,u,sK1_relation_exists_F(x,w,n0,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,81]),
    [iquote('0:Rew:1.0,81.0')] ).

cnf(89,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,w,v,n1,u,sK1_relation_exists_F(x,w,v,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,82]),
    [iquote('0:Rew:1.0,82.0')] ).

cnf(88,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,w,v,n0,u,sK1_relation_exists_F(x,w,v,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,83]),
    [iquote('0:Rew:1.0,83.0')] ).

cnf(194,plain,
    equal(f(n0,n0,n0,n0,n0,sK1_relation_exists_F(n0,n0,n0,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,190]),
    [iquote('0:Rew:1.0,190.0')] ).

cnf(193,plain,
    equal(f(n1,n0,n0,n0,n0,sK1_relation_exists_F(n1,n0,n0,n0,n0)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,189]),
    [iquote('0:Rew:1.0,189.0')] ).

cnf(180,plain,
    equal(ifeq(equalish(u,u),true__dfg,f(u,n0,n0,n0,n0,sK1_relation_exists_F(u,n0,n0,n0,n0)),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,176]),
    [iquote('0:Rew:1.0,176.0')] ).

cnf(144,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,f(v,u,n0,n0,n0,sK1_relation_exists_F(v,u,n0,n0,n0)),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,141]),
    [iquote('0:Rew:1.0,141.0')] ).

cnf(87,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,w,v,u,n1,sK1_relation_exists_F(x,w,v,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,84]),
    [iquote('0:Rew:1.0,84.0')] ).

cnf(125,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,f(w,v,u,n0,n0,sK1_relation_exists_F(w,v,u,n0,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,123]),
    [iquote('0:Rew:1.0,123.0')] ).

cnf(86,plain,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,f(x,w,v,u,n0,sK1_relation_exists_F(x,w,v,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,85]),
    [iquote('0:Rew:1.0,85.0')] ).

cnf(73,plain,
    equal(ifeq(f(u,v,w,x,n1,y),true__dfg,ifeq(f(z,x1,x2,x3,n1,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3,7]),
    [iquote('0:SpR:3.0,7.0')] ).

cnf(74,plain,
    equal(ifeq(f(u,v,w,x,n0,y),true__dfg,ifeq(f(z,x1,x2,x3,n0,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[2,7]),
    [iquote('0:SpR:2.0,7.0')] ).

cnf(6,axiom,
    equal(ifeq(equalish(u,u),true__dfg,ifeq(equalish(v,v),true__dfg,ifeq(equalish(w,w),true__dfg,ifeq(equalish(x,x),true__dfg,ifeq(equalish(y,y),true__dfg,f(y,x,w,v,u,sK1_relation_exists_F(y,x,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(7,axiom,
    equal(ifeq(f(u,v,w,x,y,z),true__dfg,ifeq(f(x1,x2,x3,x4,x5,z),true__dfg,equalish(x5,y),true__dfg),true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(47,plain,
    equal(ifeq(f(u,v,w,n1,x,y),true__dfg,ifeq(f(z,x1,x2,n1,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3,8]),
    [iquote('0:SpR:3.0,8.0')] ).

cnf(48,plain,
    equal(ifeq(f(u,v,w,n0,x,y),true__dfg,ifeq(f(z,x1,x2,n0,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[2,8]),
    [iquote('0:SpR:2.0,8.0')] ).

cnf(36,plain,
    equal(ifeq(f(u,v,n1,w,x,y),true__dfg,ifeq(f(z,x1,n1,x2,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3,9]),
    [iquote('0:SpR:3.0,9.0')] ).

cnf(8,axiom,
    equal(ifeq(f(u,v,w,x,y,z),true__dfg,ifeq(f(x1,x2,x3,x4,x5,z),true__dfg,equalish(x4,x),true__dfg),true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(37,plain,
    equal(ifeq(f(u,v,n0,w,x,y),true__dfg,ifeq(f(z,x1,n0,x2,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[2,9]),
    [iquote('0:SpR:2.0,9.0')] ).

cnf(9,axiom,
    equal(ifeq(f(u,v,w,x,y,z),true__dfg,ifeq(f(x1,x2,x3,x4,x5,z),true__dfg,equalish(x3,w),true__dfg),true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(25,plain,
    equal(ifeq(f(u,n1,v,w,x,y),true__dfg,ifeq(f(z,n1,x1,x2,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3,10]),
    [iquote('0:SpR:3.0,10.0')] ).

cnf(26,plain,
    equal(ifeq(f(u,n0,v,w,x,y),true__dfg,ifeq(f(z,n0,x1,x2,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[2,10]),
    [iquote('0:SpR:2.0,10.0')] ).

cnf(10,axiom,
    equal(ifeq(f(u,v,w,x,y,z),true__dfg,ifeq(f(x1,x2,x3,x4,x5,z),true__dfg,equalish(x2,v),true__dfg),true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(19,plain,
    equal(ifeq(f(n1,u,v,w,x,y),true__dfg,ifeq(f(n1,z,x1,x2,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[3,11]),
    [iquote('0:SpR:3.0,11.0')] ).

cnf(20,plain,
    equal(ifeq(f(n0,u,v,w,x,y),true__dfg,ifeq(f(n0,z,x1,x2,x3,y),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[2,11]),
    [iquote('0:SpR:2.0,11.0')] ).

cnf(11,axiom,
    equal(ifeq(f(u,v,w,x,y,z),true__dfg,ifeq(f(x1,x2,x3,x4,x5,z),true__dfg,equalish(x1,u),true__dfg),true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(4,axiom,
    equal(ifeq(equalish(n0,n1),true__dfg,goal,true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(5,axiom,
    equal(ifeq(equalish(n1,n0),true__dfg,goal,true__dfg),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(1,axiom,
    equal(ifeq(u,u,v,w),v),
    file('MSC013-10.p',unknown),
    [] ).

cnf(2,axiom,
    equal(equalish(n0,n0),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(3,axiom,
    equal(equalish(n1,n1),true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

cnf(12,axiom,
    ~ equal(goal,true__dfg),
    file('MSC013-10.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : MSC013-10 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jul  1 15:07:29 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 7.24/7.40  
% 7.24/7.40  SPASS V 3.9 
% 7.24/7.40  SPASS beiseite: Completion found.
% 7.24/7.40  % SZS status CounterSatisfiable
% 7.24/7.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 7.24/7.40  SPASS derived 15799 clauses, backtracked 0 clauses, performed 0 splits and kept 936 clauses.
% 7.24/7.40  SPASS allocated 72599 KBytes.
% 7.24/7.40  SPASS spent	0:00:07.07 on the problem.
% 7.24/7.40  		0:00:00.04 for the input.
% 7.24/7.40  		0:00:00.00 for the FLOTTER CNF translation.
% 7.24/7.40  		0:00:00.53 for inferences.
% 7.24/7.40  		0:00:00.00 for the backtracking.
% 7.24/7.40  		0:00:06.40 for the reduction.
% 7.24/7.40  
% 7.24/7.40  
% 7.24/7.40   The saturated set of worked-off clauses is :
% 7.24/7.40  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------