TSTP Solution File: MSC014-10 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MSC014-10 : TPTP v8.1.0. Released v7.5.0.
% 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 22:59:36 EDT 2022
% Result : Satisfiable 0.86s 1.06s
% Output : Saturation 0.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 3233)
% Comments :
%------------------------------------------------------------------------------
cnf(3288,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3233]),
[iquote('0:Rew:1.0,3233.0')] ).
cnf(3287,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3234]),
[iquote('0:Rew:1.0,3234.0')] ).
cnf(3286,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3235]),
[iquote('0:Rew:1.0,3235.0')] ).
cnf(5601,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3285,9]),
[iquote('0:SpR:3285.0,9.0')] ).
cnf(3285,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3236]),
[iquote('0:Rew:1.0,3236.0')] ).
cnf(3284,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3237]),
[iquote('0:Rew:1.0,3237.0')] ).
cnf(3283,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3238]),
[iquote('0:Rew:1.0,3238.0')] ).
cnf(3282,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3239]),
[iquote('0:Rew:1.0,3239.0')] ).
cnf(3281,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3240]),
[iquote('0:Rew:1.0,3240.0')] ).
cnf(3231,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3176]),
[iquote('0:Rew:1.0,3176.0')] ).
cnf(3230,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3177]),
[iquote('0:Rew:1.0,3177.0')] ).
cnf(5502,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3228,9]),
[iquote('0:SpR:3228.0,9.0')] ).
cnf(3229,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3178]),
[iquote('0:Rew:1.0,3178.0')] ).
cnf(3228,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3179]),
[iquote('0:Rew:1.0,3179.0')] ).
cnf(3227,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3180]),
[iquote('0:Rew:1.0,3180.0')] ).
cnf(3226,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3181]),
[iquote('0:Rew:1.0,3181.0')] ).
cnf(3225,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3182]),
[iquote('0:Rew:1.0,3182.0')] ).
cnf(3224,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3183]),
[iquote('0:Rew:1.0,3183.0')] ).
cnf(3147,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3092]),
[iquote('0:Rew:1.0,3092.0')] ).
cnf(3146,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3093]),
[iquote('0:Rew:1.0,3093.0')] ).
cnf(3145,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3094]),
[iquote('0:Rew:1.0,3094.0')] ).
cnf(5404,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3144,9]),
[iquote('0:SpR:3144.0,9.0')] ).
cnf(3144,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3095]),
[iquote('0:Rew:1.0,3095.0')] ).
cnf(3143,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3096]),
[iquote('0:Rew:1.0,3096.0')] ).
cnf(3142,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3097]),
[iquote('0:Rew:1.0,3097.0')] ).
cnf(3141,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3098]),
[iquote('0:Rew:1.0,3098.0')] ).
cnf(3140,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3099]),
[iquote('0:Rew:1.0,3099.0')] ).
cnf(3090,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3035]),
[iquote('0:Rew:1.0,3035.0')] ).
cnf(3089,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3036]),
[iquote('0:Rew:1.0,3036.0')] ).
cnf(3088,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3037]),
[iquote('0:Rew:1.0,3037.0')] ).
cnf(5309,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3087,9]),
[iquote('0:SpR:3087.0,9.0')] ).
cnf(3087,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3038]),
[iquote('0:Rew:1.0,3038.0')] ).
cnf(3086,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3039]),
[iquote('0:Rew:1.0,3039.0')] ).
cnf(3085,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3040]),
[iquote('0:Rew:1.0,3040.0')] ).
cnf(3084,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3041]),
[iquote('0:Rew:1.0,3041.0')] ).
cnf(3083,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3042]),
[iquote('0:Rew:1.0,3042.0')] ).
cnf(2610,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2557]),
[iquote('0:Rew:1.0,2557.0')] ).
cnf(2609,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2558]),
[iquote('0:Rew:1.0,2558.0')] ).
cnf(2608,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2559]),
[iquote('0:Rew:1.0,2559.0')] ).
cnf(5214,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[2607,9]),
[iquote('0:SpR:2607.0,9.0')] ).
cnf(2607,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2560]),
[iquote('0:Rew:1.0,2560.0')] ).
cnf(2606,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2561]),
[iquote('0:Rew:1.0,2561.0')] ).
cnf(2605,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2562]),
[iquote('0:Rew:1.0,2562.0')] ).
cnf(2604,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2563]),
[iquote('0:Rew:1.0,2563.0')] ).
cnf(2603,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2564]),
[iquote('0:Rew:1.0,2564.0')] ).
cnf(2555,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2502]),
[iquote('0:Rew:1.0,2502.0')] ).
cnf(2554,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2503]),
[iquote('0:Rew:1.0,2503.0')] ).
cnf(2553,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2504]),
[iquote('0:Rew:1.0,2504.0')] ).
cnf(5119,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[2552,9]),
[iquote('0:SpR:2552.0,9.0')] ).
cnf(2552,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2505]),
[iquote('0:Rew:1.0,2505.0')] ).
cnf(2551,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2506]),
[iquote('0:Rew:1.0,2506.0')] ).
cnf(2550,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2507]),
[iquote('0:Rew:1.0,2507.0')] ).
cnf(2549,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2508]),
[iquote('0:Rew:1.0,2508.0')] ).
cnf(2548,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2509]),
[iquote('0:Rew:1.0,2509.0')] ).
cnf(2161,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2108]),
[iquote('0:Rew:1.0,2108.0')] ).
cnf(2160,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2109]),
[iquote('0:Rew:1.0,2109.0')] ).
cnf(5023,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[2158,9]),
[iquote('0:SpR:2158.0,9.0')] ).
cnf(2159,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2110]),
[iquote('0:Rew:1.0,2110.0')] ).
cnf(2158,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2111]),
[iquote('0:Rew:1.0,2111.0')] ).
cnf(2157,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2112]),
[iquote('0:Rew:1.0,2112.0')] ).
cnf(2156,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2113]),
[iquote('0:Rew:1.0,2113.0')] ).
cnf(2155,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2114]),
[iquote('0:Rew:1.0,2114.0')] ).
cnf(2154,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2115]),
[iquote('0:Rew:1.0,2115.0')] ).
cnf(2071,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2020]),
[iquote('0:Rew:1.0,2020.0')] ).
cnf(2070,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2021]),
[iquote('0:Rew:1.0,2021.0')] ).
cnf(2069,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2022]),
[iquote('0:Rew:1.0,2022.0')] ).
cnf(4928,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[2068,9]),
[iquote('0:SpR:2068.0,9.0')] ).
cnf(2068,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(n1,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2023]),
[iquote('0:Rew:1.0,2023.0')] ).
cnf(2067,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2024]),
[iquote('0:Rew:1.0,2024.0')] ).
cnf(2066,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2025]),
[iquote('0:Rew:1.0,2025.0')] ).
cnf(2065,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2026]),
[iquote('0:Rew:1.0,2026.0')] ).
cnf(2064,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg,equalish(x,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2027]),
[iquote('0:Rew:1.0,2027.0')] ).
cnf(1490,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1441]),
[iquote('0:Rew:1.0,1441.0')] ).
cnf(1489,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1442]),
[iquote('0:Rew:1.0,1442.0')] ).
cnf(1488,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1443]),
[iquote('0:Rew:1.0,1443.0')] ).
cnf(4834,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1487,9]),
[iquote('0:SpR:1487.0,9.0')] ).
cnf(1487,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1444]),
[iquote('0:Rew:1.0,1444.0')] ).
cnf(1486,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1445]),
[iquote('0:Rew:1.0,1445.0')] ).
cnf(1485,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1446]),
[iquote('0:Rew:1.0,1446.0')] ).
cnf(1484,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1447]),
[iquote('0:Rew:1.0,1447.0')] ).
cnf(1483,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1448]),
[iquote('0:Rew:1.0,1448.0')] ).
cnf(1439,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1390]),
[iquote('0:Rew:1.0,1390.0')] ).
cnf(1438,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1391]),
[iquote('0:Rew:1.0,1391.0')] ).
cnf(1437,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1392]),
[iquote('0:Rew:1.0,1392.0')] ).
cnf(4739,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1436,9]),
[iquote('0:SpR:1436.0,9.0')] ).
cnf(1436,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1393]),
[iquote('0:Rew:1.0,1393.0')] ).
cnf(1435,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1394]),
[iquote('0:Rew:1.0,1394.0')] ).
cnf(1434,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1395]),
[iquote('0:Rew:1.0,1395.0')] ).
cnf(1433,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1396]),
[iquote('0:Rew:1.0,1396.0')] ).
cnf(1432,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1397]),
[iquote('0:Rew:1.0,1397.0')] ).
cnf(1094,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1045]),
[iquote('0:Rew:1.0,1045.0')] ).
cnf(1093,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1046]),
[iquote('0:Rew:1.0,1046.0')] ).
cnf(1092,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1047]),
[iquote('0:Rew:1.0,1047.0')] ).
cnf(4643,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1091,9]),
[iquote('0:SpR:1091.0,9.0')] ).
cnf(1091,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1048]),
[iquote('0:Rew:1.0,1048.0')] ).
cnf(1090,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1049]),
[iquote('0:Rew:1.0,1049.0')] ).
cnf(1089,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1050]),
[iquote('0:Rew:1.0,1050.0')] ).
cnf(1088,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1051]),
[iquote('0:Rew:1.0,1051.0')] ).
cnf(1087,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1052]),
[iquote('0:Rew:1.0,1052.0')] ).
cnf(1012,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,965]),
[iquote('0:Rew:1.0,965.0')] ).
cnf(1011,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,966]),
[iquote('0:Rew:1.0,966.0')] ).
cnf(4548,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1009,9]),
[iquote('0:SpR:1009.0,9.0')] ).
cnf(1010,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(n1,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,967]),
[iquote('0:Rew:1.0,967.0')] ).
cnf(1009,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,968]),
[iquote('0:Rew:1.0,968.0')] ).
cnf(1008,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,969]),
[iquote('0:Rew:1.0,969.0')] ).
cnf(1007,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,970]),
[iquote('0:Rew:1.0,970.0')] ).
cnf(1006,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(w,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,971]),
[iquote('0:Rew:1.0,971.0')] ).
cnf(1005,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,972]),
[iquote('0:Rew:1.0,972.0')] ).
cnf(591,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,548]),
[iquote('0:Rew:1.0,548.0')] ).
cnf(590,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,549]),
[iquote('0:Rew:1.0,549.0')] ).
cnf(589,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,550]),
[iquote('0:Rew:1.0,550.0')] ).
cnf(4453,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[588,9]),
[iquote('0:SpR:588.0,9.0')] ).
cnf(588,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,551]),
[iquote('0:Rew:1.0,551.0')] ).
cnf(587,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,552]),
[iquote('0:Rew:1.0,552.0')] ).
cnf(586,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,553]),
[iquote('0:Rew:1.0,553.0')] ).
cnf(585,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,554]),
[iquote('0:Rew:1.0,554.0')] ).
cnf(584,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,555]),
[iquote('0:Rew:1.0,555.0')] ).
cnf(546,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,503]),
[iquote('0:Rew:1.0,503.0')] ).
cnf(545,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(n1,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,504]),
[iquote('0:Rew:1.0,504.0')] ).
cnf(544,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,505]),
[iquote('0:Rew:1.0,505.0')] ).
cnf(4358,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[543,9]),
[iquote('0:SpR:543.0,9.0')] ).
cnf(543,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,506]),
[iquote('0:Rew:1.0,506.0')] ).
cnf(542,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,507]),
[iquote('0:Rew:1.0,507.0')] ).
cnf(541,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(v,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,508]),
[iquote('0:Rew:1.0,508.0')] ).
cnf(540,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,509]),
[iquote('0:Rew:1.0,509.0')] ).
cnf(539,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,510]),
[iquote('0:Rew:1.0,510.0')] ).
cnf(220,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(n0,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,181]),
[iquote('0:Rew:1.0,181.0')] ).
cnf(219,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,182]),
[iquote('0:Rew:1.0,182.0')] ).
cnf(218,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,183]),
[iquote('0:Rew:1.0,183.0')] ).
cnf(4260,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[217,9]),
[iquote('0:SpR:217.0,9.0')] ).
cnf(217,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,184]),
[iquote('0:Rew:1.0,184.0')] ).
cnf(216,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(u,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,185]),
[iquote('0:Rew:1.0,185.0')] ).
cnf(215,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,186]),
[iquote('0:Rew:1.0,186.0')] ).
cnf(214,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,187]),
[iquote('0:Rew:1.0,187.0')] ).
cnf(213,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,188]),
[iquote('0:Rew:1.0,188.0')] ).
cnf(164,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(n1,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,125]),
[iquote('0:Rew:1.0,125.0')] ).
cnf(163,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(n0,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,126]),
[iquote('0:Rew:1.0,126.0')] ).
cnf(162,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(n0,w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,127]),
[iquote('0:Rew:1.0,127.0')] ).
cnf(4161,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[161,9]),
[iquote('0:SpR:161.0,9.0')] ).
cnf(161,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(n0,x),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,128]),
[iquote('0:Rew:1.0,128.0')] ).
cnf(160,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(u,n1),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,129]),
[iquote('0:Rew:1.0,129.0')] ).
cnf(159,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(v,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,130]),
[iquote('0:Rew:1.0,130.0')] ).
cnf(158,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(w,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,131]),
[iquote('0:Rew:1.0,131.0')] ).
cnf(157,plain,
equal(ifeq2(f(u,v,w,x,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg,equalish(x,n0),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,132]),
[iquote('0:Rew:1.0,132.0')] ).
cnf(2298,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n1,n1,u,sK1_exists_f_Z(n1,n1,n1,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2278]),
[iquote('0:Rew:1.0,2278.0')] ).
cnf(2297,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n1,n1,u,sK1_exists_f_Z(n0,n1,n1,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2279]),
[iquote('0:Rew:1.0,2279.0')] ).
cnf(2224,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n0,n1,u,sK1_exists_f_Z(n1,n0,n1,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2204]),
[iquote('0:Rew:1.0,2204.0')] ).
cnf(2223,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n0,n1,u,sK1_exists_f_Z(n0,n0,n1,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2205]),
[iquote('0:Rew:1.0,2205.0')] ).
cnf(1797,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n1,n0,u,sK1_exists_f_Z(n1,n1,n0,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1779]),
[iquote('0:Rew:1.0,1779.0')] ).
cnf(1796,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n1,n0,u,sK1_exists_f_Z(n0,n1,n0,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1780]),
[iquote('0:Rew:1.0,1780.0')] ).
cnf(1717,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n0,n0,u,sK1_exists_f_Z(n1,n0,n0,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1699]),
[iquote('0:Rew:1.0,1699.0')] ).
cnf(1716,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n0,n0,u,sK1_exists_f_Z(n0,n0,n0,u)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1700]),
[iquote('0:Rew:1.0,1700.0')] ).
cnf(1511,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n1,u,n1,sK1_exists_f_Z(n1,n1,u,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1499]),
[iquote('0:Rew:1.0,1499.0')] ).
cnf(1510,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n1,u,n1,sK1_exists_f_Z(n0,n1,u,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1500]),
[iquote('0:Rew:1.0,1500.0')] ).
cnf(1354,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n0,u,n1,sK1_exists_f_Z(n1,n0,u,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1342]),
[iquote('0:Rew:1.0,1342.0')] ).
cnf(1353,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n0,u,n1,sK1_exists_f_Z(n0,n0,u,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1343]),
[iquote('0:Rew:1.0,1343.0')] ).
cnf(1284,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,u,n1,n1,sK1_exists_f_Z(n1,u,n1,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1272]),
[iquote('0:Rew:1.0,1272.0')] ).
cnf(1283,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,u,n1,n1,sK1_exists_f_Z(n0,u,n1,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1273]),
[iquote('0:Rew:1.0,1273.0')] ).
cnf(3174,plain,
equal(f(n0,n1,n1,n1,sK1_exists_f_Z(n0,n1,n1,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3162]),
[iquote('0:Rew:1.0,3162.0')] ).
cnf(3173,plain,
equal(f(n1,n1,n1,n1,sK1_exists_f_Z(n1,n1,n1,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3161]),
[iquote('0:Rew:1.0,3161.0')] ).
cnf(1282,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n1,n1,n1,sK1_exists_f_Z(u,n1,n1,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1274]),
[iquote('0:Rew:1.0,1274.0')] ).
cnf(3033,plain,
equal(f(n0,n0,n1,n1,sK1_exists_f_Z(n0,n0,n1,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3021]),
[iquote('0:Rew:1.0,3021.0')] ).
cnf(3032,plain,
equal(f(n1,n0,n1,n1,sK1_exists_f_Z(n1,n0,n1,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3020]),
[iquote('0:Rew:1.0,3020.0')] ).
cnf(1281,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n0,n1,n1,sK1_exists_f_Z(u,n0,n1,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1275]),
[iquote('0:Rew:1.0,1275.0')] ).
cnf(1217,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,u,n0,n1,sK1_exists_f_Z(n1,u,n0,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1205]),
[iquote('0:Rew:1.0,1205.0')] ).
cnf(1216,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,u,n0,n1,sK1_exists_f_Z(n0,u,n0,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1206]),
[iquote('0:Rew:1.0,1206.0')] ).
cnf(473,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n1,n1,v,u,sK1_exists_f_Z(n1,n1,v,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,461]),
[iquote('0:Rew:1.0,461.0')] ).
cnf(472,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n0,n1,v,u,sK1_exists_f_Z(n0,n1,v,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,462]),
[iquote('0:Rew:1.0,462.0')] ).
cnf(406,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n1,n0,v,u,sK1_exists_f_Z(n1,n0,v,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,388]),
[iquote('0:Rew:1.0,388.0')] ).
cnf(405,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n0,n0,v,u,sK1_exists_f_Z(n0,n0,v,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,389]),
[iquote('0:Rew:1.0,389.0')] ).
cnf(2500,plain,
equal(f(n0,n1,n0,n1,sK1_exists_f_Z(n0,n1,n0,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2489]),
[iquote('0:Rew:1.0,2489.0')] ).
cnf(2499,plain,
equal(f(n1,n1,n0,n1,sK1_exists_f_Z(n1,n1,n0,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2488]),
[iquote('0:Rew:1.0,2488.0')] ).
cnf(1215,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n1,n0,n1,sK1_exists_f_Z(u,n1,n0,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1207]),
[iquote('0:Rew:1.0,1207.0')] ).
cnf(333,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n1,v,n1,u,sK1_exists_f_Z(n1,v,n1,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,321]),
[iquote('0:Rew:1.0,321.0')] ).
cnf(332,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n0,v,n1,u,sK1_exists_f_Z(n0,v,n1,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,322]),
[iquote('0:Rew:1.0,322.0')] ).
cnf(331,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n1,n1,u,sK1_exists_f_Z(v,n1,n1,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,323]),
[iquote('0:Rew:1.0,323.0')] ).
cnf(330,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n0,n1,u,sK1_exists_f_Z(v,n0,n1,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,324]),
[iquote('0:Rew:1.0,324.0')] ).
cnf(2018,plain,
equal(f(n0,n0,n0,n1,sK1_exists_f_Z(n0,n0,n0,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2007]),
[iquote('0:Rew:1.0,2007.0')] ).
cnf(275,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n1,v,n0,u,sK1_exists_f_Z(n1,v,n0,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,257]),
[iquote('0:Rew:1.0,257.0')] ).
cnf(2017,plain,
equal(f(n1,n0,n0,n1,sK1_exists_f_Z(n1,n0,n0,n1)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2006]),
[iquote('0:Rew:1.0,2006.0')] ).
cnf(1214,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n0,n0,n1,sK1_exists_f_Z(u,n0,n0,n1)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1208]),
[iquote('0:Rew:1.0,1208.0')] ).
cnf(897,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n1,u,n0,sK1_exists_f_Z(n1,n1,u,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,881]),
[iquote('0:Rew:1.0,881.0')] ).
cnf(896,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n1,u,n0,sK1_exists_f_Z(n0,n1,u,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,882]),
[iquote('0:Rew:1.0,882.0')] ).
cnf(274,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n0,v,n0,u,sK1_exists_f_Z(n0,v,n0,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,258]),
[iquote('0:Rew:1.0,258.0')] ).
cnf(821,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,n0,u,n0,sK1_exists_f_Z(n1,n0,u,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,805]),
[iquote('0:Rew:1.0,805.0')] ).
cnf(820,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,n0,u,n0,sK1_exists_f_Z(n0,n0,u,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,806]),
[iquote('0:Rew:1.0,806.0')] ).
cnf(745,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,u,n1,n0,sK1_exists_f_Z(n1,u,n1,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,733]),
[iquote('0:Rew:1.0,733.0')] ).
cnf(744,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,u,n1,n0,sK1_exists_f_Z(n0,u,n1,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,734]),
[iquote('0:Rew:1.0,734.0')] ).
cnf(273,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n1,n0,u,sK1_exists_f_Z(v,n1,n0,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,260]),
[iquote('0:Rew:1.0,260.0')] ).
cnf(272,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n0,n0,u,sK1_exists_f_Z(v,n0,n0,u)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,261]),
[iquote('0:Rew:1.0,261.0')] ).
cnf(180,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n1,v,u,n1,sK1_exists_f_Z(n1,v,u,n1)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,168]),
[iquote('0:Rew:1.0,168.0')] ).
cnf(179,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n0,v,u,n1,sK1_exists_f_Z(n0,v,u,n1)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,169]),
[iquote('0:Rew:1.0,169.0')] ).
cnf(178,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n1,u,n1,sK1_exists_f_Z(v,n1,u,n1)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,170]),
[iquote('0:Rew:1.0,170.0')] ).
cnf(1388,plain,
equal(f(n0,n1,n1,n0,sK1_exists_f_Z(n0,n1,n1,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1379]),
[iquote('0:Rew:1.0,1379.0')] ).
cnf(1387,plain,
equal(f(n1,n1,n1,n0,sK1_exists_f_Z(n1,n1,n1,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1378]),
[iquote('0:Rew:1.0,1378.0')] ).
cnf(743,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n1,n1,n0,sK1_exists_f_Z(u,n1,n1,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,735]),
[iquote('0:Rew:1.0,735.0')] ).
cnf(177,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n0,u,n1,sK1_exists_f_Z(v,n0,u,n1)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,171]),
[iquote('0:Rew:1.0,171.0')] ).
cnf(176,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,u,n1,n1,sK1_exists_f_Z(v,u,n1,n1)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,172]),
[iquote('0:Rew:1.0,172.0')] ).
cnf(175,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,u,n0,n1,sK1_exists_f_Z(v,u,n0,n1)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,173]),
[iquote('0:Rew:1.0,173.0')] ).
cnf(100,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n1,v,u,n0,sK1_exists_f_Z(n1,v,u,n0)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,88]),
[iquote('0:Rew:1.0,88.0')] ).
cnf(963,plain,
equal(f(n0,n0,n1,n0,sK1_exists_f_Z(n0,n0,n1,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,955]),
[iquote('0:Rew:1.0,955.0')] ).
cnf(99,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(n0,v,u,n0,sK1_exists_f_Z(n0,v,u,n0)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,89]),
[iquote('0:Rew:1.0,89.0')] ).
cnf(962,plain,
equal(f(n1,n0,n1,n0,sK1_exists_f_Z(n1,n0,n1,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,954]),
[iquote('0:Rew:1.0,954.0')] ).
cnf(742,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n0,n1,n0,sK1_exists_f_Z(u,n0,n1,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,736]),
[iquote('0:Rew:1.0,736.0')] ).
cnf(113,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n1,u,n0,n0,sK1_exists_f_Z(n1,u,n0,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,104]),
[iquote('0:Rew:1.0,104.0')] ).
cnf(112,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(n0,u,n0,n0,sK1_exists_f_Z(n0,u,n0,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,105]),
[iquote('0:Rew:1.0,105.0')] ).
cnf(98,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n1,u,n0,sK1_exists_f_Z(v,n1,u,n0)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,90]),
[iquote('0:Rew:1.0,90.0')] ).
cnf(97,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,n0,u,n0,sK1_exists_f_Z(v,n0,u,n0)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,91]),
[iquote('0:Rew:1.0,91.0')] ).
cnf(96,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,u,n1,n0,sK1_exists_f_Z(v,u,n1,n0)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,92]),
[iquote('0:Rew:1.0,92.0')] ).
cnf(85,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(n1,w,v,u,sK1_exists_f_Z(n1,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,70]),
[iquote('0:Rew:1.0,70.0')] ).
cnf(84,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(n0,w,v,u,sK1_exists_f_Z(n0,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,71]),
[iquote('0:Rew:1.0,71.0')] ).
cnf(501,plain,
equal(f(n0,n1,n0,n0,sK1_exists_f_Z(n0,n1,n0,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,495]),
[iquote('0:Rew:1.0,495.0')] ).
cnf(500,plain,
equal(f(n1,n1,n0,n0,sK1_exists_f_Z(n1,n1,n0,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,494]),
[iquote('0:Rew:1.0,494.0')] ).
cnf(111,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n1,n0,n0,sK1_exists_f_Z(u,n1,n0,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,106]),
[iquote('0:Rew:1.0,106.0')] ).
cnf(83,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(w,n1,v,u,sK1_exists_f_Z(w,n1,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,72]),
[iquote('0:Rew:1.0,72.0')] ).
cnf(82,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(w,n0,v,u,sK1_exists_f_Z(w,n0,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,73]),
[iquote('0:Rew:1.0,73.0')] ).
cnf(81,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(w,v,n1,u,sK1_exists_f_Z(w,v,n1,u)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,74]),
[iquote('0:Rew:1.0,74.0')] ).
cnf(80,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(w,v,n0,u,sK1_exists_f_Z(w,v,n0,u)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,75]),
[iquote('0:Rew:1.0,75.0')] ).
cnf(123,plain,
equal(f(n0,n0,n0,n0,sK1_exists_f_Z(n0,n0,n0,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,119]),
[iquote('0:Rew:1.0,119.0')] ).
cnf(79,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(w,v,u,n1,sK1_exists_f_Z(w,v,u,n1)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,76]),
[iquote('0:Rew:1.0,76.0')] ).
cnf(122,plain,
equal(f(n1,n0,n0,n0,sK1_exists_f_Z(n1,n0,n0,n0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,118]),
[iquote('0:Rew:1.0,118.0')] ).
cnf(110,plain,
equal(ifeq2(equalish(u,u),true__dfg,f(u,n0,n0,n0,sK1_exists_f_Z(u,n0,n0,n0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,107]),
[iquote('0:Rew:1.0,107.0')] ).
cnf(95,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,f(v,u,n0,n0,sK1_exists_f_Z(v,u,n0,n0)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,93]),
[iquote('0:Rew:1.0,93.0')] ).
cnf(78,plain,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,f(w,v,u,n0,sK1_exists_f_Z(w,v,u,n0)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,77]),
[iquote('0:Rew:1.0,77.0')] ).
cnf(5,axiom,
equal(ifeq2(equalish(u,u),true__dfg,ifeq2(equalish(v,v),true__dfg,ifeq2(equalish(w,w),true__dfg,ifeq2(equalish(x,x),true__dfg,f(x,w,v,u,sK1_exists_f_Z(x,w,v,u)),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
file('MSC014-10.p',unknown),
[] ).
cnf(43,plain,
equal(ifeq2(f(u,v,w,n1,x),true__dfg,ifeq2(f(y,z,x1,n1,x),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,6]),
[iquote('0:SpR:4.0,6.0')] ).
cnf(44,plain,
equal(ifeq2(f(u,v,w,n0,x),true__dfg,ifeq2(f(y,z,x1,n0,x),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3,6]),
[iquote('0:SpR:3.0,6.0')] ).
cnf(37,plain,
equal(ifeq2(f(u,v,n1,w,x),true__dfg,ifeq2(f(y,z,n1,x1,x),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,7]),
[iquote('0:SpR:4.0,7.0')] ).
cnf(38,plain,
equal(ifeq2(f(u,v,n0,w,x),true__dfg,ifeq2(f(y,z,n0,x1,x),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(6,axiom,
equal(ifeq2(f(u,v,w,x,y),true__dfg,ifeq2(f(z,x1,x2,x3,y),true__dfg,equalish(x3,x),true__dfg),true__dfg),true__dfg),
file('MSC014-10.p',unknown),
[] ).
cnf(7,axiom,
equal(ifeq2(f(u,v,w,x,y),true__dfg,ifeq2(f(z,x1,x2,x3,y),true__dfg,equalish(x2,w),true__dfg),true__dfg),true__dfg),
file('MSC014-10.p',unknown),
[] ).
cnf(25,plain,
equal(ifeq2(f(u,n1,v,w,x),true__dfg,ifeq2(f(y,n1,z,x1,x),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,8]),
[iquote('0:SpR:4.0,8.0')] ).
cnf(26,plain,
equal(ifeq2(f(u,n0,v,w,x),true__dfg,ifeq2(f(y,n0,z,x1,x),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(20,plain,
equal(ifeq2(f(n1,u,v,w,x),true__dfg,ifeq2(f(n1,y,z,x1,x),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,9]),
[iquote('0:SpR:4.0,9.0')] ).
cnf(8,axiom,
equal(ifeq2(f(u,v,w,x,y),true__dfg,ifeq2(f(z,x1,x2,x3,y),true__dfg,equalish(x1,v),true__dfg),true__dfg),true__dfg),
file('MSC014-10.p',unknown),
[] ).
cnf(21,plain,
equal(ifeq2(f(n0,u,v,w,x),true__dfg,ifeq2(f(n0,y,z,x1,x),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(9,axiom,
equal(ifeq2(f(u,v,w,x,y),true__dfg,ifeq2(f(z,x1,x2,x3,y),true__dfg,equalish(z,u),true__dfg),true__dfg),true__dfg),
file('MSC014-10.p',unknown),
[] ).
cnf(10,axiom,
equal(ifeq(equalish(n0,n1),true__dfg,a,b),b),
file('MSC014-10.p',unknown),
[] ).
cnf(11,axiom,
equal(ifeq(equalish(n1,n0),true__dfg,a,b),b),
file('MSC014-10.p',unknown),
[] ).
cnf(1,axiom,
equal(ifeq2(u,u,v,w),v),
file('MSC014-10.p',unknown),
[] ).
cnf(2,axiom,
equal(ifeq(u,u,v,w),v),
file('MSC014-10.p',unknown),
[] ).
cnf(3,axiom,
equal(equalish(n0,n0),true__dfg),
file('MSC014-10.p',unknown),
[] ).
cnf(4,axiom,
equal(equalish(n1,n1),true__dfg),
file('MSC014-10.p',unknown),
[] ).
cnf(12,axiom,
~ equal(b,a),
file('MSC014-10.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MSC014-10 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 16:02:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.86/1.06
% 0.86/1.06 SPASS V 3.9
% 0.86/1.06 SPASS beiseite: Completion found.
% 0.86/1.06 % SZS status CounterSatisfiable
% 0.86/1.06 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.06 SPASS derived 4329 clauses, backtracked 0 clauses, performed 0 splits and kept 372 clauses.
% 0.86/1.06 SPASS allocated 65768 KBytes.
% 0.86/1.06 SPASS spent 0:00:00.71 on the problem.
% 0.86/1.06 0:00:00.04 for the input.
% 0.86/1.06 0:00:00.00 for the FLOTTER CNF translation.
% 0.86/1.06 0:00:00.09 for inferences.
% 0.86/1.06 0:00:00.00 for the backtracking.
% 0.86/1.06 0:00:00.55 for the reduction.
% 0.86/1.06
% 0.86/1.06
% 0.86/1.06 The saturated set of worked-off clauses is :
% 0.86/1.06 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------