%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ARI765-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n002.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 : 300s
% DateTime : Tue May 5 06:16:55 PM UTC 2026
% Result : Unsatisfiable 249.26s 249.77s
% Output : CNFRefutation 249.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI765-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.12 % Command : woody %s
% 0.16/0.34 % Computer : n002.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 18:41:16 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) s^4(zero) ?=? log(e(s^4(zero)))
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 249.26/249.77 joined goal: 1 s^4(zero) ?= log(e(s^4(zero))) to e^3(zero)
% 249.26/249.77 goal joined
% 249.26/249.77 % SZS status Unsatisfiable
% 249.26/249.77 #START OF PROOF
% 249.26/249.77 % SZS output start CNFRefutation
% 249.26/249.77 cnf('0.1.0.0',axiom,
% 249.26/249.77 ( s(s(d(X1))) = d(s(X1)) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.1.1.0',plain,
% 249.26/249.77 ( s(s(d(X1))) = d(s(X1)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.1.0.0']),
% 249.26/249.77 [weight('<0,0,0,[0,0,0,1]>')]).
% 249.26/249.77 cnf('0.1.2.0',plain,
% 249.26/249.77 ( s(s(d(X1))) = d(s(X1)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_1]).
% 249.26/249.77 cnf('0.2.0.0',axiom,
% 249.26/249.77 ( s(zero) = e(zero) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.2.1.0',plain,
% 249.26/249.77 ( s(zero) = e(zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.2.0.0']),
% 249.26/249.77 [weight('<1,0,0,[0,0,0,2]>')]).
% 249.26/249.77 cnf('0.2.2.0',plain,
% 249.26/249.77 ( s(zero) = e(zero) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_2]).
% 249.26/249.77 cnf('0.3.0.0',axiom,
% 249.26/249.77 ( s(minus(X1,X2)) = if_minus(false,s(X1),X2) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.3.1.0',plain,
% 249.26/249.77 ( s(minus(X1,X2)) = if_minus(false,s(X1),X2) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.3.0.0']),
% 249.26/249.77 [weight('<2,0,0,[0,0,0,3]>')]).
% 249.26/249.77 cnf('0.3.2.0',plain,
% 249.26/249.77 ( if_minus(false,s(X1),X2) = s(minus(X1,X2)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_3]).
% 249.26/249.77 cnf('0.4.0.0',axiom,
% 249.26/249.77 ( s(quot(minus(X1,X2),s(X2))) = quot(s(X1),s(X2)) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.4.1.0',plain,
% 249.26/249.77 ( s(quot(minus(X1,X2),s(X2))) = quot(s(X1),s(X2)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.4.0.0']),
% 249.26/249.77 [weight('<3,0,0,[0,0,0,4]>')]).
% 249.26/249.77 cnf('0.4.2.0',plain,
% 249.26/249.77 ( s(quot(minus(X1,X2),s(X2))) = quot(s(X1),s(X2)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_4]).
% 249.26/249.77 cnf('0.5.0.0',axiom,
% 249.26/249.77 ( s(log(s(quot(X1,s(s(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.5.1.0',plain,
% 249.26/249.77 ( s(log(s(quot(X1,s(s(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.5.0.0']),
% 249.26/249.77 [weight('<4,0,0,[0,0,0,5]>')]).
% 249.26/249.77 cnf('0.5.1.1',plain,
% 249.26/249.77 ( s(log(s(quot(X1,s(e(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.5.1.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1.2.1','L')]).
% 249.26/249.77 cnf('0.5.2.0',plain,
% 249.26/249.77 ( s(log(s(quot(X1,s(e(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.5.1.1',theory(equality)]),
% 249.26/249.77 [u,rule_5]).
% 249.26/249.77 cnf('0.6.0.0',axiom,
% 249.26/249.77 ( zero = d(zero) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.6.1.0',plain,
% 249.26/249.77 ( zero = d(zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.6.0.0']),
% 249.26/249.77 [weight('<5,0,0,[0,0,0,6]>')]).
% 249.26/249.77 cnf('0.6.2.0',plain,
% 249.26/249.77 ( d(zero) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_6]).
% 249.26/249.77 cnf('0.8.0.0',axiom,
% 249.26/249.77 ( zero = quot(zero,s(X1)) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.8.1.0',plain,
% 249.26/249.77 ( zero = quot(zero,s(X1)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.8.0.0']),
% 249.26/249.77 [weight('<7,0,0,[0,0,0,8]>')]).
% 249.26/249.77 cnf('0.8.2.0',plain,
% 249.26/249.77 ( quot(zero,s(X1)) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_8]).
% 249.26/249.77 cnf('0.9.0.0',axiom,
% 249.26/249.77 ( zero = log(s(zero)) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.9.1.0',plain,
% 249.26/249.77 ( zero = log(s(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.9.0.0']),
% 249.26/249.77 [weight('<8,0,0,[0,0,0,9]>')]).
% 249.26/249.77 cnf('0.9.1.1',plain,
% 249.26/249.77 ( zero = log(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.9.1.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.9.2.0',plain,
% 249.26/249.77 ( log(e(zero)) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 249.26/249.77 [x,rule_9]).
% 249.26/249.77 cnf('0.10.0.0',axiom,
% 249.26/249.77 ( zero = if_minus(true,s(X1),X2) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.10.1.0',plain,
% 249.26/249.77 ( zero = if_minus(true,s(X1),X2) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.10.0.0']),
% 249.26/249.77 [weight('<9,0,0,[0,0,0,10]>')]).
% 249.26/249.77 cnf('0.10.2.0',plain,
% 249.26/249.77 ( if_minus(true,s(X1),X2) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_10]).
% 249.26/249.77 cnf('0.11.0.0',axiom,
% 249.26/249.77 ( le(X1,X2) = le(s(X1),s(X2)) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.11.1.0',plain,
% 249.26/249.77 ( le(X1,X2) = le(s(X1),s(X2)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.11.0.0']),
% 249.26/249.77 [weight('<10,0,0,[0,0,0,11]>')]).
% 249.26/249.77 cnf('0.11.2.0',plain,
% 249.26/249.77 ( le(s(X1),s(X2)) = le(X1,X2) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_11]).
% 249.26/249.77 cnf('0.12.0.0',axiom,
% 249.26/249.77 ( le(s(X1),zero) = false ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.12.1.0',plain,
% 249.26/249.77 ( le(s(X1),zero) = false ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.12.0.0']),
% 249.26/249.77 [weight('<11,0,0,[0,0,0,12]>')]).
% 249.26/249.77 cnf('0.12.2.0',plain,
% 249.26/249.77 ( le(s(X1),zero) = false ),
% 249.26/249.77 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_12]).
% 249.26/249.77 cnf('0.13.0.0',axiom,
% 249.26/249.77 ( le(zero,X1) = true ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.13.1.0',plain,
% 249.26/249.77 ( le(zero,X1) = true ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.13.0.0']),
% 249.26/249.77 [weight('<12,0,0,[0,0,0,13]>')]).
% 249.26/249.77 cnf('0.13.2.0',plain,
% 249.26/249.77 ( le(zero,X1) = true ),
% 249.26/249.77 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_13]).
% 249.26/249.77 cnf('0.14.0.0',axiom,
% 249.26/249.77 ( d(e(X1)) = e(s(X1)) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.14.1.0',plain,
% 249.26/249.77 ( d(e(X1)) = e(s(X1)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.14.0.0']),
% 249.26/249.77 [weight('<13,0,0,[0,0,0,14]>')]).
% 249.26/249.77 cnf('0.14.2.0',plain,
% 249.26/249.77 ( d(e(X1)) = e(s(X1)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_14]).
% 249.26/249.77 cnf('0.15.0.0',axiom,
% 249.26/249.77 ( minus(s(X1),X2) = if_minus(le(s(X1),X2),s(X1),X2) ),
% 249.26/249.77 file('/tmp/WALDMEISTER_13469_n002')).
% 249.26/249.77 cnf('0.15.1.0',plain,
% 249.26/249.77 ( minus(s(X1),X2) = if_minus(le(s(X1),X2),s(X1),X2) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.15.0.0']),
% 249.26/249.77 [weight('<14,0,0,[0,0,0,15]>')]).
% 249.26/249.77 cnf('0.15.2.0',plain,
% 249.26/249.77 ( if_minus(le(s(X1),X2),s(X1),X2) = minus(s(X1),X2) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_15]).
% 249.26/249.77 cnf('0.16.0.0',plain,
% 249.26/249.77 ( d(s(zero)) = s(s(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.16.0.1',plain,
% 249.26/249.77 ( d(e(zero)) = s(s(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.16.0.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.16.0.2',plain,
% 249.26/249.77 ( d(e(zero)) = s(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.16.0.1','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.16.1.0',plain,
% 249.26/249.77 ( d(e(zero)) = s(e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.16.0.2']),
% 249.26/249.77 [weight('<27,6,1,[0,0,0,2]>')]).
% 249.26/249.77 cnf('0.16.1.1',plain,
% 249.26/249.77 ( e(s(zero)) = s(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.16.1.0','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('L','L')]).
% 249.26/249.77 cnf('0.16.1.2',plain,
% 249.26/249.77 ( e(e(zero)) = s(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.16.1.1','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.16.2.0',plain,
% 249.26/249.77 ( s(e(zero)) = e(e(zero)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.16.1.2',theory(equality)]),
% 249.26/249.77 [x,rule_16]).
% 249.26/249.77 cnf('0.18.0.0',plain,
% 249.26/249.77 ( false = le(e(zero),zero) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.12.2.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.18.1.0',plain,
% 249.26/249.77 ( false = le(e(zero),zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.18.0.0']),
% 249.26/249.77 [weight('<29,12,2,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.18.2.0',plain,
% 249.26/249.77 ( le(e(zero),zero) = false ),
% 249.26/249.77 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_18]).
% 249.26/249.77 cnf('0.20.0.0',plain,
% 249.26/249.77 ( zero = if_minus(true,e(zero),X1) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.20.1.0',plain,
% 249.26/249.77 ( zero = if_minus(true,e(zero),X1) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.20.0.0']),
% 249.26/249.77 [weight('<41,10,2,[1,0,0,2]>')]).
% 249.26/249.77 cnf('0.20.2.0',plain,
% 249.26/249.77 ( if_minus(true,e(zero),X1) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_20]).
% 249.26/249.77 cnf('0.21.0.0',plain,
% 249.26/249.77 ( false = le(d(s(X1)),zero) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.12.2.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.21.1.0',plain,
% 249.26/249.77 ( false = le(d(s(X1)),zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.21.0.0']),
% 249.26/249.77 [weight('<41,12,1,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.21.2.0',plain,
% 249.26/249.77 ( le(d(s(X1)),zero) = false ),
% 249.26/249.77 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_21]).
% 249.26/249.77 cnf('0.22.0.0',plain,
% 249.26/249.77 ( zero = quot(zero,e(e(zero))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.8.2.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.22.1.0',plain,
% 249.26/249.77 ( zero = quot(zero,e(e(zero))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.22.0.0']),
% 249.26/249.77 [weight('<41,16,8,[0,0,0,2]>')]).
% 249.26/249.77 cnf('0.22.2.0',plain,
% 249.26/249.77 ( quot(zero,e(e(zero))) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_22]).
% 249.26/249.77 cnf('0.26.0.0',plain,
% 249.26/249.77 ( le(zero,X1) = le(e(zero),s(X1)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.11.2.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.26.1.0',plain,
% 249.26/249.77 ( le(zero,X1) = le(e(zero),s(X1)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.26.0.0']),
% 249.26/249.77 [weight('<53,11,2,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.26.1.1',plain,
% 249.26/249.77 ( true = le(e(zero),s(X1)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.26.1.0','0.13.2.0',theory(equality)]),
% 249.26/249.77 [pos('L','L')]).
% 249.26/249.77 cnf('0.26.2.0',plain,
% 249.26/249.77 ( le(e(zero),s(X1)) = true ),
% 249.26/249.77 inference(orient,[status(thm)],['0.26.1.1',theory(equality)]),
% 249.26/249.77 [x,rule_26]).
% 249.26/249.77 cnf('0.27.0.0',plain,
% 249.26/249.77 ( true = le(e(zero),e(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.26.2.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.27.1.0',plain,
% 249.26/249.77 ( true = le(e(zero),e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.27.0.0']),
% 249.26/249.77 [weight('<41,26,2,[1,0,0,3]>')]).
% 249.26/249.77 cnf('0.27.2.0',plain,
% 249.26/249.77 ( le(e(zero),e(zero)) = true ),
% 249.26/249.77 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_27]).
% 249.26/249.77 cnf('0.28.0.0',plain,
% 249.26/249.77 ( le(X1,zero) = le(s(X1),e(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.11.2.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.28.1.0',plain,
% 249.26/249.77 ( le(X1,zero) = le(s(X1),e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.28.0.0']),
% 249.26/249.77 [weight('<53,11,2,[1,0,0,3]>')]).
% 249.26/249.77 cnf('0.28.2.0',plain,
% 249.26/249.77 ( le(s(X1),e(zero)) = le(X1,zero) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_28]).
% 249.26/249.77 cnf('0.34.0.0',plain,
% 249.26/249.77 ( false = le(d(d(s(X1))),zero) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.21.2.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.34.1.0',plain,
% 249.26/249.77 ( false = le(d(d(s(X1))),zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.34.0.0']),
% 249.26/249.77 [weight('<55,21,1,[1,0,0,2]>')]).
% 249.26/249.77 cnf('0.34.2.0',plain,
% 249.26/249.77 ( le(d(d(s(X1))),zero) = false ),
% 249.26/249.77 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_34]).
% 249.26/249.77 cnf('0.40.0.0',plain,
% 249.26/249.77 ( le(s(d(X1)),zero) = le(d(s(X1)),e(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.28.2.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.40.0.1',plain,
% 249.26/249.77 ( false = le(d(s(X1)),e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.40.0.0','0.12.2.0',theory(equality)]),
% 249.26/249.77 [pos('L','L')]).
% 249.26/249.77 cnf('0.40.1.0',plain,
% 249.26/249.77 ( false = le(d(s(X1)),e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.40.0.1']),
% 249.26/249.77 [weight('<55,28,1,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.40.2.0',plain,
% 249.26/249.77 ( le(d(s(X1)),e(zero)) = false ),
% 249.26/249.77 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_40]).
% 249.26/249.77 cnf('0.43.0.0',plain,
% 249.26/249.77 ( d(s(e(X1))) = s(s(e(s(X1)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.1.2.0','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.43.1.0',plain,
% 249.26/249.77 ( d(s(e(X1))) = s(s(e(s(X1)))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.43.0.0']),
% 249.26/249.77 [weight('<59,14,1,[0,0,0,2]>')]).
% 249.26/249.77 cnf('0.43.2.0',plain,
% 249.26/249.77 ( s(s(e(s(X1)))) = d(s(e(X1))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_43]).
% 249.26/249.77 cnf('0.44.0.0',plain,
% 249.26/249.77 ( d(s(e(zero))) = s(s(e(e(zero)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.43.2.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.44.0.1',plain,
% 249.26/249.77 ( d(e(e(zero))) = s(s(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.44.0.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.44.0.2',plain,
% 249.26/249.77 ( e(s(e(zero))) = s(s(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.44.0.1','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('L','L')]).
% 249.26/249.77 cnf('0.44.0.3',plain,
% 249.26/249.77 ( e(e(e(zero))) = s(s(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.44.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.44.1.0',plain,
% 249.26/249.77 ( e(e(e(zero))) = s(s(e(e(zero)))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.44.0.3']),
% 249.26/249.77 [weight('<59,43,2,[1,0,0,3]>')]).
% 249.26/249.77 cnf('0.44.2.0',plain,
% 249.26/249.77 ( s(s(e(e(zero)))) = e(e(e(zero))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_44]).
% 249.26/249.77 cnf('0.60.0.0',plain,
% 249.26/249.77 ( s(minus(s(d(X1)),X2)) = if_minus(false,d(s(X1)),X2) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.60.1.0',plain,
% 249.26/249.77 ( s(minus(s(d(X1)),X2)) = if_minus(false,d(s(X1)),X2) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.60.0.0']),
% 249.26/249.77 [weight('<?,3,1,[1,0,0,2]>')]).
% 249.26/249.77 cnf('0.60.2.0',plain,
% 249.26/249.77 ( s(minus(s(d(X1)),X2)) = if_minus(false,d(s(X1)),X2) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_60]).
% 249.26/249.77 cnf('0.84.0.0',plain,
% 249.26/249.77 ( d(s(e(e(zero)))) = s(s(e(e(e(zero))))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.43.2.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.84.1.0',plain,
% 249.26/249.77 ( d(s(e(e(zero)))) = s(s(e(e(e(zero))))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.84.0.0']),
% 249.26/249.77 [weight('<83,43,16,[1,0,0,3]>')]).
% 249.26/249.77 cnf('0.84.2.0',plain,
% 249.26/249.77 ( s(s(e(e(e(zero))))) = d(s(e(e(zero)))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_84]).
% 249.26/249.77 cnf('0.264.0.0',plain,
% 249.26/249.77 ( s(log(s(quot(X1,s(e(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 249.26/249.77 cnf('0.264.0.1',plain,
% 249.26/249.77 ( s(log(s(quot(X1,e(e(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.264.0.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1.2','L')]).
% 249.26/249.77 cnf('0.264.1.0',plain,
% 249.26/249.77 ( s(log(s(quot(X1,e(e(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.264.0.1']),
% 249.26/249.77 [weight('<?,5,16,[0,0,0,0]>')]).
% 249.26/249.77 cnf('0.264.2.0',plain,
% 249.26/249.77 ( s(log(s(quot(X1,e(e(zero)))))) = log(s(s(X1))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.264.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_264]).
% 249.26/249.77 cnf('0.265.0.0',plain,
% 249.26/249.77 ( log(s(s(zero))) = s(log(s(zero))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.264.2.0','0.22.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.265.0.1',plain,
% 249.26/249.77 ( log(s(e(zero))) = s(log(s(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.265.0.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.265.0.2',plain,
% 249.26/249.77 ( log(e(e(zero))) = s(log(s(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.265.0.1','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.265.0.3',plain,
% 249.26/249.77 ( log(e(e(zero))) = s(log(e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.265.0.2','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.1','L')]).
% 249.26/249.77 cnf('0.265.0.4',plain,
% 249.26/249.77 ( log(e(e(zero))) = s(zero) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.265.0.3','0.9.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.265.0.5',plain,
% 249.26/249.77 ( log(e(e(zero))) = e(zero) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.265.0.4','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.265.1.0',plain,
% 249.26/249.77 ( log(e(e(zero))) = e(zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.265.0.5']),
% 249.26/249.77 [weight('<34,264,22,[1,0,0,3]>')]).
% 249.26/249.77 cnf('0.265.2.0',plain,
% 249.26/249.77 ( log(e(e(zero))) = e(zero) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.265.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_265]).
% 249.26/249.77 cnf('0.417.0.0',plain,
% 249.26/249.77 ( minus(s(s(d(X1))),X2) = if_minus(le(d(s(X1)),X2),s(s(d(X1))),X2) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.15.2.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.417.0.1',plain,
% 249.26/249.77 ( minus(d(s(X1)),X2) = if_minus(le(d(s(X1)),X2),s(s(d(X1))),X2) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.417.0.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.417.0.2',plain,
% 249.26/249.77 ( minus(d(s(X1)),X2) = if_minus(le(d(s(X1)),X2),d(s(X1)),X2) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.417.0.1','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.2','L')]).
% 249.26/249.77 cnf('0.417.1.0',plain,
% 249.26/249.77 ( minus(d(s(X1)),X2) = if_minus(le(d(s(X1)),X2),d(s(X1)),X2) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.417.0.2']),
% 249.26/249.77 [weight('<?,15,1,[1,0,0,2]>')]).
% 249.26/249.77 cnf('0.417.2.0',plain,
% 249.26/249.77 ( if_minus(le(d(s(X1)),X2),d(s(X1)),X2) = minus(d(s(X1)),X2) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.417.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_416]).
% 249.26/249.77 cnf('0.468.0.0',plain,
% 249.26/249.77 ( minus(s(zero),X1) = if_minus(le(e(zero),X1),s(zero),X1) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.468.0.1',plain,
% 249.26/249.77 ( minus(e(zero),X1) = if_minus(le(e(zero),X1),s(zero),X1) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.468.0.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.468.0.2',plain,
% 249.26/249.77 ( minus(e(zero),X1) = if_minus(le(e(zero),X1),e(zero),X1) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.468.0.1','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.2','L')]).
% 249.26/249.77 cnf('0.468.1.0',plain,
% 249.26/249.77 ( minus(e(zero),X1) = if_minus(le(e(zero),X1),e(zero),X1) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.468.0.2']),
% 249.26/249.77 [weight('<?,15,2,[1,0,0,2]>')]).
% 249.26/249.77 cnf('0.468.2.0',plain,
% 249.26/249.77 ( if_minus(le(e(zero),X1),e(zero),X1) = minus(e(zero),X1) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.468.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_467]).
% 249.26/249.77 cnf('0.469.0.0',plain,
% 249.26/249.77 ( minus(e(zero),s(X1)) = if_minus(true,e(zero),s(X1)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.468.2.0','0.26.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.469.0.1',plain,
% 249.26/249.77 ( minus(e(zero),s(X1)) = zero ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.469.0.0','0.20.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.469.1.0',plain,
% 249.26/249.77 ( minus(e(zero),s(X1)) = zero ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.469.0.1']),
% 249.26/249.77 [weight('<41,468,26,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.469.2.0',plain,
% 249.26/249.77 ( minus(e(zero),s(X1)) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.469.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_468]).
% 249.26/249.77 cnf('0.470.0.0',plain,
% 249.26/249.77 ( minus(e(zero),e(zero)) = if_minus(true,e(zero),e(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.468.2.0','0.27.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.470.0.1',plain,
% 249.26/249.77 ( minus(e(zero),e(zero)) = zero ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.470.0.0','0.20.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.470.1.0',plain,
% 249.26/249.77 ( minus(e(zero),e(zero)) = zero ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.470.0.1']),
% 249.26/249.77 [weight('<41,468,27,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.470.2.0',plain,
% 249.26/249.77 ( minus(e(zero),e(zero)) = zero ),
% 249.26/249.77 inference(orient,[status(thm)],['0.470.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_469]).
% 249.26/249.77 cnf('0.480.0.0',plain,
% 249.26/249.77 ( quot(s(e(zero)),s(e(zero))) = s(quot(zero,s(e(zero)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.4.2.0','0.470.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.480.0.1',plain,
% 249.26/249.77 ( quot(e(e(zero)),s(e(zero))) = s(quot(zero,s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.480.0.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.480.0.2',plain,
% 249.26/249.77 ( quot(e(e(zero)),e(e(zero))) = s(quot(zero,s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.480.0.1','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.480.0.3',plain,
% 249.26/249.77 ( quot(e(e(zero)),e(e(zero))) = s(zero) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.480.0.2','0.8.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.480.0.4',plain,
% 249.26/249.77 ( quot(e(e(zero)),e(e(zero))) = e(zero) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.480.0.3','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.480.1.0',plain,
% 249.26/249.77 ( quot(e(e(zero)),e(e(zero))) = e(zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.480.0.4']),
% 249.26/249.77 [weight('<79,470,4,[0,0,0,2]>')]).
% 249.26/249.77 cnf('0.480.2.0',plain,
% 249.26/249.77 ( quot(e(e(zero)),e(e(zero))) = e(zero) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.480.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_479]).
% 249.26/249.77 cnf('0.481.0.0',plain,
% 249.26/249.77 ( log(s(s(e(e(zero))))) = s(log(s(e(zero)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.264.2.0','0.480.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.481.0.1',plain,
% 249.26/249.77 ( log(e(e(e(zero)))) = s(log(s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.481.0.0','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.481.0.2',plain,
% 249.26/249.77 ( log(e(e(e(zero)))) = s(log(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.481.0.1','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.1','L')]).
% 249.26/249.77 cnf('0.481.0.3',plain,
% 249.26/249.77 ( log(e(e(e(zero)))) = s(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.481.0.2','0.265.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.481.0.4',plain,
% 249.26/249.77 ( log(e(e(e(zero)))) = e(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.481.0.3','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.481.1.0',plain,
% 249.26/249.77 ( log(e(e(e(zero)))) = e(e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.481.0.4']),
% 249.26/249.77 [weight('<53,480,264,[0,0,0,3]>')]).
% 249.26/249.77 cnf('0.481.2.0',plain,
% 249.26/249.77 ( log(e(e(e(zero)))) = e(e(zero)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.481.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_480]).
% 249.26/249.77 cnf('0.570.0.0',plain,
% 249.26/249.77 ( minus(s(X1),s(X2)) = if_minus(le(X1,X2),s(X1),s(X2)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.15.2.0','0.11.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.570.1.0',plain,
% 249.26/249.77 ( minus(s(X1),s(X2)) = if_minus(le(X1,X2),s(X1),s(X2)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.570.0.0']),
% 249.26/249.77 [weight('<?,15,11,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.570.2.0',plain,
% 249.26/249.77 ( if_minus(le(X1,X2),s(X1),s(X2)) = minus(s(X1),s(X2)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.570.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_569]).
% 249.26/249.77 cnf('0.571.0.0',plain,
% 249.26/249.77 ( minus(s(e(zero)),s(zero)) = if_minus(false,s(e(zero)),s(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.570.2.0','0.18.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.571.0.1',plain,
% 249.26/249.77 ( minus(e(e(zero)),s(zero)) = if_minus(false,s(e(zero)),s(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.571.0.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.571.0.2',plain,
% 249.26/249.77 ( minus(e(e(zero)),e(zero)) = if_minus(false,s(e(zero)),s(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.571.0.1','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.571.0.3',plain,
% 249.26/249.77 ( minus(e(e(zero)),e(zero)) = s(minus(e(zero),s(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.571.0.2','0.3.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.571.0.4',plain,
% 249.26/249.77 ( minus(e(e(zero)),e(zero)) = s(zero) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.571.0.3','0.469.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.571.0.5',plain,
% 249.26/249.77 ( minus(e(e(zero)),e(zero)) = e(zero) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.571.0.4','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.571.1.0',plain,
% 249.26/249.77 ( minus(e(e(zero)),e(zero)) = e(zero) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.571.0.5']),
% 249.26/249.77 [weight('<62,570,18,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.571.2.0',plain,
% 249.26/249.77 ( minus(e(e(zero)),e(zero)) = e(zero) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.571.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_570]).
% 249.26/249.77 cnf('0.579.0.0',plain,
% 249.26/249.77 ( minus(s(s(X1)),s(zero)) = if_minus(false,s(s(X1)),s(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.570.2.0','0.12.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.579.0.1',plain,
% 249.26/249.77 ( minus(s(s(X1)),e(zero)) = if_minus(false,s(s(X1)),s(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.579.0.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.579.0.2',plain,
% 249.26/249.77 ( minus(s(s(X1)),e(zero)) = s(minus(s(X1),s(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.579.0.1','0.3.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.579.0.3',plain,
% 249.26/249.77 ( minus(s(s(X1)),e(zero)) = s(minus(s(X1),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.579.0.2','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.2','L')]).
% 249.26/249.77 cnf('0.579.1.0',plain,
% 249.26/249.77 ( minus(s(s(X1)),e(zero)) = s(minus(s(X1),e(zero))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.579.0.3']),
% 249.26/249.77 [weight('<90,570,12,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.579.2.0',plain,
% 249.26/249.77 ( s(minus(s(X1),e(zero))) = minus(s(s(X1)),e(zero)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.579.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_578]).
% 249.26/249.77 cnf('0.580.0.0',plain,
% 249.26/249.77 ( minus(s(s(e(zero))),e(zero)) = s(minus(e(e(zero)),e(zero))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.579.2.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.580.0.1',plain,
% 249.26/249.77 ( minus(s(e(e(zero))),e(zero)) = s(minus(e(e(zero)),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.580.0.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.580.0.2',plain,
% 249.26/249.77 ( minus(s(e(e(zero))),e(zero)) = s(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.580.0.1','0.571.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.580.0.3',plain,
% 249.26/249.77 ( minus(s(e(e(zero))),e(zero)) = e(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.580.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.580.1.0',plain,
% 249.26/249.77 ( minus(s(e(e(zero))),e(zero)) = e(e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.580.0.3']),
% 249.26/249.77 [weight('<87,579,16,[1,0,0,2]>')]).
% 249.26/249.77 cnf('0.580.2.0',plain,
% 249.26/249.77 ( minus(s(e(e(zero))),e(zero)) = e(e(zero)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.580.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_579]).
% 249.26/249.77 cnf('0.585.0.0',plain,
% 249.26/249.77 ( minus(s(s(e(e(zero)))),e(zero)) = s(e(e(zero))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.579.2.0','0.580.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.585.0.1',plain,
% 249.26/249.77 ( minus(e(e(e(zero))),e(zero)) = s(e(e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.585.0.0','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.585.1.0',plain,
% 249.26/249.77 ( minus(e(e(e(zero))),e(zero)) = s(e(e(zero))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.585.0.1']),
% 249.26/249.77 [weight('<95,580,579,[0,0,0,1]>')]).
% 249.26/249.77 cnf('0.585.2.0',plain,
% 249.26/249.77 ( minus(e(e(e(zero))),e(zero)) = s(e(e(zero))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.585.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_584]).
% 249.26/249.77 cnf('0.588.0.0',plain,
% 249.26/249.77 ( quot(s(s(e(e(zero)))),s(e(zero))) = s(quot(e(e(zero)),s(e(zero)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.4.2.0','0.580.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.588.0.1',plain,
% 249.26/249.77 ( quot(e(e(e(zero))),s(e(zero))) = s(quot(e(e(zero)),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.588.0.0','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.588.0.2',plain,
% 249.26/249.77 ( quot(e(e(e(zero))),e(e(zero))) = s(quot(e(e(zero)),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.588.0.1','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.588.0.3',plain,
% 249.26/249.77 ( quot(e(e(e(zero))),e(e(zero))) = s(quot(e(e(zero)),e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.588.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.2','L')]).
% 249.26/249.77 cnf('0.588.0.4',plain,
% 249.26/249.77 ( quot(e(e(e(zero))),e(e(zero))) = s(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.588.0.3','0.480.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.588.0.5',plain,
% 249.26/249.77 ( quot(e(e(e(zero))),e(e(zero))) = e(e(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.588.0.4','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.588.1.0',plain,
% 249.26/249.77 ( quot(e(e(e(zero))),e(e(zero))) = e(e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.588.0.5']),
% 249.26/249.77 [weight('<107,580,4,[0,0,0,2]>')]).
% 249.26/249.77 cnf('0.588.2.0',plain,
% 249.26/249.77 ( quot(e(e(e(zero))),e(e(zero))) = e(e(zero)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.588.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_587]).
% 249.26/249.77 cnf('0.683.0.0',plain,
% 249.26/249.77 ( minus(d(s(X1)),e(zero)) = if_minus(false,d(s(X1)),e(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.417.2.0','0.40.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.683.1.0',plain,
% 249.26/249.77 ( minus(d(s(X1)),e(zero)) = if_minus(false,d(s(X1)),e(zero)) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.683.0.0']),
% 249.26/249.77 [weight('<111,417,40,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.683.2.0',plain,
% 249.26/249.77 ( if_minus(false,d(s(X1)),e(zero)) = minus(d(s(X1)),e(zero)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.683.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_682]).
% 249.26/249.77 cnf('0.729.0.0',plain,
% 249.26/249.77 ( minus(s(d(s(X1))),s(zero)) = if_minus(false,s(d(s(X1))),s(zero)) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.570.2.0','0.21.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.729.0.1',plain,
% 249.26/249.77 ( minus(s(d(s(X1))),e(zero)) = if_minus(false,s(d(s(X1))),s(zero)) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.729.0.0','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.729.0.2',plain,
% 249.26/249.77 ( minus(s(d(s(X1))),e(zero)) = s(minus(d(s(X1)),s(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.729.0.1','0.3.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.729.0.3',plain,
% 249.26/249.77 ( minus(s(d(s(X1))),e(zero)) = s(minus(d(s(X1)),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.729.0.2','0.2.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.2','L')]).
% 249.26/249.77 cnf('0.729.1.0',plain,
% 249.26/249.77 ( minus(s(d(s(X1))),e(zero)) = s(minus(d(s(X1)),e(zero))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.729.0.3']),
% 249.26/249.77 [weight('<119,570,21,[1,0,0,1]>')]).
% 249.26/249.77 cnf('0.729.2.0',plain,
% 249.26/249.77 ( s(minus(d(s(X1)),e(zero))) = minus(s(d(s(X1))),e(zero)) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.729.1.0',theory(equality)]),
% 249.26/249.77 [x,rule_728]).
% 249.26/249.77 cnf('0.730.0.0',plain,
% 249.26/249.77 ( minus(s(d(s(e(zero)))),e(zero)) = s(minus(d(e(e(zero))),e(zero))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.729.2.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.730.0.1',plain,
% 249.26/249.77 ( minus(s(d(e(e(zero)))),e(zero)) = s(minus(d(e(e(zero))),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.730.0.0','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.730.0.2',plain,
% 249.26/249.77 ( minus(s(e(s(e(zero)))),e(zero)) = s(minus(d(e(e(zero))),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.730.0.1','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.730.0.3',plain,
% 249.26/249.77 ( minus(s(e(e(e(zero)))),e(zero)) = s(minus(d(e(e(zero))),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.730.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.730.0.4',plain,
% 249.26/249.77 ( minus(s(e(e(e(zero)))),e(zero)) = s(minus(e(s(e(zero))),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.730.0.3','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.1','L')]).
% 249.26/249.77 cnf('0.730.0.5',plain,
% 249.26/249.77 ( minus(s(e(e(e(zero)))),e(zero)) = s(minus(e(e(e(zero))),e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.730.0.4','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.1.1','L')]).
% 249.26/249.77 cnf('0.730.0.6',plain,
% 249.26/249.77 ( minus(s(e(e(e(zero)))),e(zero)) = s(s(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.730.0.5','0.585.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.730.0.7',plain,
% 249.26/249.77 ( minus(s(e(e(e(zero)))),e(zero)) = e(e(e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.730.0.6','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.730.1.0',plain,
% 249.26/249.77 ( minus(s(e(e(e(zero)))),e(zero)) = e(e(e(zero))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.730.0.7']),
% 249.26/249.77 [weight('<116,729,16,[1,0,0,3]>')]).
% 249.26/249.77 cnf('0.730.2.0',plain,
% 249.26/249.77 ( minus(s(e(e(e(zero)))),e(zero)) = e(e(e(zero))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.730.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_729]).
% 249.26/249.77 cnf('0.759.0.0',plain,
% 249.26/249.77 ( minus(s(s(e(e(e(zero))))),e(zero)) = s(e(e(e(zero)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.579.2.0','0.730.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.759.0.1',plain,
% 249.26/249.77 ( minus(d(s(e(e(zero)))),e(zero)) = s(e(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.759.0.0','0.84.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.759.1.0',plain,
% 249.26/249.77 ( minus(d(s(e(e(zero)))),e(zero)) = s(e(e(e(zero)))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.759.0.1']),
% 249.26/249.77 [weight('<125,730,579,[0,0,0,1]>')]).
% 249.26/249.77 cnf('0.759.2.0',plain,
% 249.26/249.77 ( minus(d(s(e(e(zero)))),e(zero)) = s(e(e(e(zero)))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.759.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_758]).
% 249.26/249.77 cnf('0.1869.0.0',plain,
% 249.26/249.77 ( quot(s(s(e(e(e(zero))))),s(e(zero))) = s(quot(e(e(e(zero))),s(e(zero)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.4.2.0','0.730.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.1869.0.1',plain,
% 249.26/249.77 ( quot(d(s(e(e(zero)))),s(e(zero))) = s(quot(e(e(e(zero))),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1869.0.0','0.84.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.1869.0.2',plain,
% 249.26/249.77 ( quot(d(s(e(e(zero)))),e(e(zero))) = s(quot(e(e(e(zero))),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1869.0.1','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.1869.0.3',plain,
% 249.26/249.77 ( quot(d(s(e(e(zero)))),e(e(zero))) = s(quot(e(e(e(zero))),e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1869.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.2','L')]).
% 249.26/249.77 cnf('0.1869.0.4',plain,
% 249.26/249.77 ( quot(d(s(e(e(zero)))),e(e(zero))) = s(e(e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1869.0.3','0.588.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.1869.1.0',plain,
% 249.26/249.77 ( quot(d(s(e(e(zero)))),e(e(zero))) = s(e(e(zero))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.1869.0.4']),
% 249.26/249.77 [weight('<139,730,4,[0,0,0,2]>')]).
% 249.26/249.77 cnf('0.1869.2.0',plain,
% 249.26/249.77 ( quot(d(s(e(e(zero)))),e(e(zero))) = s(e(e(zero))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.1869.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_1868]).
% 249.26/249.77 cnf('0.1870.0.0',plain,
% 249.26/249.77 ( log(s(s(d(s(e(e(zero))))))) = s(log(s(s(e(e(zero)))))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.264.2.0','0.1869.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1.1','L')]).
% 249.26/249.77 cnf('0.1870.0.1',plain,
% 249.26/249.77 ( log(d(s(s(e(e(zero)))))) = s(log(s(s(e(e(zero)))))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1870.0.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.1870.0.2',plain,
% 249.26/249.77 ( log(d(e(e(e(zero))))) = s(log(s(s(e(e(zero)))))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1870.0.1','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.1870.0.3',plain,
% 249.26/249.77 ( log(e(s(e(e(zero))))) = s(log(s(s(e(e(zero)))))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1870.0.2','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.1870.0.4',plain,
% 249.26/249.77 ( log(e(s(e(e(zero))))) = s(log(e(e(e(zero))))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1870.0.3','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.1','L')]).
% 249.26/249.77 cnf('0.1870.0.5',plain,
% 249.26/249.77 ( log(e(s(e(e(zero))))) = s(e(e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.1870.0.4','0.481.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.1870.1.0',plain,
% 249.26/249.77 ( log(e(s(e(e(zero))))) = s(e(e(zero))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.1870.0.5']),
% 249.26/249.77 [weight('<76,1869,264,[0,0,0,3]>')]).
% 249.26/249.77 cnf('0.1870.2.0',plain,
% 249.26/249.77 ( log(e(s(e(e(zero))))) = s(e(e(zero))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.1870.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_1869]).
% 249.26/249.77 cnf('0.2032.0.0',plain,
% 249.26/249.77 ( minus(s(d(s(e(e(zero))))),e(zero)) = s(s(e(e(e(zero))))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.729.2.0','0.759.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.2032.0.1',plain,
% 249.26/249.77 ( minus(s(d(s(e(e(zero))))),e(zero)) = d(s(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2032.0.0','0.84.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.2032.1.0',plain,
% 249.26/249.77 ( minus(s(d(s(e(e(zero))))),e(zero)) = d(s(e(e(zero)))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.2032.0.1']),
% 249.26/249.77 [weight('<149,759,729,[0,0,0,1]>')]).
% 249.26/249.77 cnf('0.2032.2.0',plain,
% 249.26/249.77 ( minus(s(d(s(e(e(zero))))),e(zero)) = d(s(e(e(zero)))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.2032.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_2031]).
% 249.26/249.77 cnf('0.2033.0.0',plain,
% 249.26/249.77 ( if_minus(false,d(s(s(e(e(zero))))),e(zero)) = s(d(s(e(e(zero))))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.60.2.0','0.2032.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.2033.0.1',plain,
% 249.26/249.77 ( minus(d(s(s(e(e(zero))))),e(zero)) = s(d(s(e(e(zero))))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2033.0.0','0.683.2.0',theory(equality)]),
% 249.26/249.77 [pos('L','L')]).
% 249.26/249.77 cnf('0.2033.0.2',plain,
% 249.26/249.77 ( minus(d(e(e(e(zero)))),e(zero)) = s(d(s(e(e(zero))))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2033.0.1','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.2033.0.3',plain,
% 249.26/249.77 ( minus(e(s(e(e(zero)))),e(zero)) = s(d(s(e(e(zero))))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2033.0.2','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.2033.1.0',plain,
% 249.26/249.77 ( minus(e(s(e(e(zero)))),e(zero)) = s(d(s(e(e(zero))))) ),
% 249.26/249.77 inference(weigh,[status(thm)],['0.2033.0.3']),
% 249.26/249.77 [weight('<134,2032,60,[0,0,0,1]>')]).
% 249.26/249.77 cnf('0.2033.2.0',plain,
% 249.26/249.77 ( minus(e(s(e(e(zero)))),e(zero)) = s(d(s(e(e(zero))))) ),
% 249.26/249.77 inference(orient,[status(thm)],['0.2033.1.0',theory(equality)]),
% 249.26/249.77 [u,rule_2032]).
% 249.26/249.77 cnf('0.2034.0.0',plain,
% 249.26/249.77 ( quot(s(s(d(s(e(e(zero)))))),s(e(zero))) = s(quot(d(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.77 inference(cp,[status(thm)],['0.4.2.0','0.2032.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.2034.0.1',plain,
% 249.26/249.77 ( quot(d(s(s(e(e(zero))))),s(e(zero))) = s(quot(d(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2034.0.0','0.1.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.2034.0.2',plain,
% 249.26/249.77 ( quot(d(e(e(e(zero)))),s(e(zero))) = s(quot(d(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2034.0.1','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1.1','L')]).
% 249.26/249.77 cnf('0.2034.0.3',plain,
% 249.26/249.77 ( quot(e(s(e(e(zero)))),s(e(zero))) = s(quot(d(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2034.0.2','0.14.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.1','L')]).
% 249.26/249.77 cnf('0.2034.0.4',plain,
% 249.26/249.77 ( quot(e(s(e(e(zero)))),e(e(zero))) = s(quot(d(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2034.0.3','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('L.2','L')]).
% 249.26/249.77 cnf('0.2034.0.5',plain,
% 249.26/249.77 ( quot(e(s(e(e(zero)))),e(e(zero))) = s(quot(d(s(e(e(zero)))),e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2034.0.4','0.16.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1.2','L')]).
% 249.26/249.77 cnf('0.2034.0.6',plain,
% 249.26/249.77 ( quot(e(s(e(e(zero)))),e(e(zero))) = s(s(e(e(zero)))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2034.0.5','0.1869.2.0',theory(equality)]),
% 249.26/249.77 [pos('R.1','L')]).
% 249.26/249.77 cnf('0.2034.0.7',plain,
% 249.26/249.77 ( quot(e(s(e(e(zero)))),e(e(zero))) = e(e(e(zero))) ),
% 249.26/249.77 inference(reduction,[status(thm)],['0.2034.0.6','0.44.2.0',theory(equality)]),
% 249.26/249.77 [pos('R','L')]).
% 249.26/249.77 cnf('0.2034.1.0',plain,
% 249.26/249.77 ( quot(e(s(e(e(zero)))),e(e(zero))) = e(e(e(zero))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.2034.0.7']),
% 249.26/249.78 [weight('<139,2032,4,[0,0,0,2]>')]).
% 249.26/249.78 cnf('0.2034.2.0',plain,
% 249.26/249.78 ( quot(e(s(e(e(zero)))),e(e(zero))) = e(e(e(zero))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.2034.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_2033]).
% 249.26/249.78 cnf('0.2047.0.0',plain,
% 249.26/249.78 ( minus(s(d(d(s(X1)))),s(zero)) = if_minus(false,s(d(d(s(X1)))),s(zero)) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.570.2.0','0.34.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.2047.0.1',plain,
% 249.26/249.78 ( minus(s(d(d(s(X1)))),e(zero)) = if_minus(false,s(d(d(s(X1)))),s(zero)) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2047.0.0','0.2.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.2','L')]).
% 249.26/249.78 cnf('0.2047.0.2',plain,
% 249.26/249.78 ( minus(s(d(d(s(X1)))),e(zero)) = s(minus(d(d(s(X1))),s(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2047.0.1','0.3.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('0.2047.0.3',plain,
% 249.26/249.78 ( minus(s(d(d(s(X1)))),e(zero)) = s(minus(d(d(s(X1))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2047.0.2','0.2.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.2','L')]).
% 249.26/249.78 cnf('0.2047.1.0',plain,
% 249.26/249.78 ( minus(s(d(d(s(X1)))),e(zero)) = s(minus(d(d(s(X1))),e(zero))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.2047.0.3']),
% 249.26/249.78 [weight('<152,570,34,[1,0,0,1]>')]).
% 249.26/249.78 cnf('0.2047.2.0',plain,
% 249.26/249.78 ( s(minus(d(d(s(X1))),e(zero))) = minus(s(d(d(s(X1)))),e(zero)) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.2047.1.0',theory(equality)]),
% 249.26/249.78 [x,rule_2046]).
% 249.26/249.78 cnf('0.2048.0.0',plain,
% 249.26/249.78 ( minus(s(d(d(s(e(zero))))),e(zero)) = s(minus(d(d(e(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.2047.2.0','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.1',plain,
% 249.26/249.78 ( minus(s(d(d(e(e(zero))))),e(zero)) = s(minus(d(d(e(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.0','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.2',plain,
% 249.26/249.78 ( minus(s(d(e(s(e(zero))))),e(zero)) = s(minus(d(d(e(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.1','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.3',plain,
% 249.26/249.78 ( minus(s(e(s(s(e(zero))))),e(zero)) = s(minus(d(d(e(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.2','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.4',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = s(minus(d(d(e(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.3','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.5',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = s(minus(d(e(s(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.4','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.6',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = s(minus(e(s(s(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.5','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.7',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = s(minus(e(s(e(e(zero)))),e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.6','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1.1.1','L')]).
% 249.26/249.78 cnf('0.2048.0.8',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = s(s(d(s(e(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.7','0.2033.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1','L')]).
% 249.26/249.78 cnf('0.2048.0.9',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = d(s(s(e(e(zero))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.8','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('0.2048.0.10',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = d(e(e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.9','0.44.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1','L')]).
% 249.26/249.78 cnf('0.2048.0.11',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = e(s(e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.2048.0.10','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('0.2048.1.0',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = e(s(e(e(zero)))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.2048.0.11']),
% 249.26/249.78 [weight('<149,2047,16,[1,0,0,4]>')]).
% 249.26/249.78 cnf('0.2048.2.0',plain,
% 249.26/249.78 ( minus(s(e(s(e(e(zero))))),e(zero)) = e(s(e(e(zero)))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.2048.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_2047]).
% 249.26/249.78 cnf('0.5260.0.0',plain,
% 249.26/249.78 ( minus(s(s(e(s(e(e(zero)))))),e(zero)) = s(e(s(e(e(zero))))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.579.2.0','0.2048.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.5260.0.1',plain,
% 249.26/249.78 ( minus(d(s(e(e(e(zero))))),e(zero)) = s(e(s(e(e(zero))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.5260.0.0','0.43.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.5260.1.0',plain,
% 249.26/249.78 ( minus(d(s(e(e(e(zero))))),e(zero)) = s(e(s(e(e(zero))))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.5260.0.1']),
% 249.26/249.78 [weight('<159,2048,579,[0,0,0,1]>')]).
% 249.26/249.78 cnf('0.5260.2.0',plain,
% 249.26/249.78 ( minus(d(s(e(e(e(zero))))),e(zero)) = s(e(s(e(e(zero))))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.5260.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_5258]).
% 249.26/249.78 cnf('0.5935.0.0',plain,
% 249.26/249.78 ( quot(s(s(e(s(e(e(zero)))))),s(e(zero))) = s(quot(e(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.4.2.0','0.2048.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.5935.0.1',plain,
% 249.26/249.78 ( quot(d(s(e(e(e(zero))))),s(e(zero))) = s(quot(e(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.5935.0.0','0.43.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.5935.0.2',plain,
% 249.26/249.78 ( quot(d(s(e(e(e(zero))))),e(e(zero))) = s(quot(e(s(e(e(zero)))),s(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.5935.0.1','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.2','L')]).
% 249.26/249.78 cnf('0.5935.0.3',plain,
% 249.26/249.78 ( quot(d(s(e(e(e(zero))))),e(e(zero))) = s(quot(e(s(e(e(zero)))),e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.5935.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.2','L')]).
% 249.26/249.78 cnf('0.5935.0.4',plain,
% 249.26/249.78 ( quot(d(s(e(e(e(zero))))),e(e(zero))) = s(e(e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.5935.0.3','0.2034.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1','L')]).
% 249.26/249.78 cnf('0.5935.1.0',plain,
% 249.26/249.78 ( quot(d(s(e(e(e(zero))))),e(e(zero))) = s(e(e(e(zero)))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.5935.0.4']),
% 249.26/249.78 [weight('<175,2048,4,[0,0,0,2]>')]).
% 249.26/249.78 cnf('0.5935.2.0',plain,
% 249.26/249.78 ( quot(d(s(e(e(e(zero))))),e(e(zero))) = s(e(e(e(zero)))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.5935.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_5933]).
% 249.26/249.78 cnf('0.16290.0.0',plain,
% 249.26/249.78 ( minus(s(d(s(e(e(e(zero)))))),e(zero)) = s(s(e(s(e(e(zero)))))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.729.2.0','0.5260.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.16290.0.1',plain,
% 249.26/249.78 ( minus(s(d(s(e(e(e(zero)))))),e(zero)) = d(s(e(e(e(zero))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16290.0.0','0.43.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('0.16290.1.0',plain,
% 249.26/249.78 ( minus(s(d(s(e(e(e(zero)))))),e(zero)) = d(s(e(e(e(zero))))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.16290.0.1']),
% 249.26/249.78 [weight('<186,5260,729,[0,0,0,1]>')]).
% 249.26/249.78 cnf('0.16290.2.0',plain,
% 249.26/249.78 ( minus(s(d(s(e(e(e(zero)))))),e(zero)) = d(s(e(e(e(zero))))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.16290.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_16269]).
% 249.26/249.78 cnf('0.16291.0.0',plain,
% 249.26/249.78 ( if_minus(false,d(s(s(e(e(e(zero)))))),e(zero)) = s(d(s(e(e(e(zero)))))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.60.2.0','0.16290.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.16291.0.1',plain,
% 249.26/249.78 ( minus(d(s(s(e(e(e(zero)))))),e(zero)) = s(d(s(e(e(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16291.0.0','0.683.2.0',theory(equality)]),
% 249.26/249.78 [pos('L','L')]).
% 249.26/249.78 cnf('0.16291.0.2',plain,
% 249.26/249.78 ( minus(d(d(s(e(e(zero))))),e(zero)) = s(d(s(e(e(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16291.0.1','0.84.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.16291.1.0',plain,
% 249.26/249.78 ( minus(d(d(s(e(e(zero))))),e(zero)) = s(d(s(e(e(e(zero)))))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.16291.0.2']),
% 249.26/249.78 [weight('<169,16290,60,[0,0,0,1]>')]).
% 249.26/249.78 cnf('0.16291.2.0',plain,
% 249.26/249.78 ( minus(d(d(s(e(e(zero))))),e(zero)) = s(d(s(e(e(e(zero)))))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.16291.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_16270]).
% 249.26/249.78 cnf('0.16292.0.0',plain,
% 249.26/249.78 ( quot(s(s(d(s(e(e(e(zero))))))),s(e(zero))) = s(quot(d(s(e(e(e(zero))))),s(e(zero)))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.4.2.0','0.16290.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.16292.0.1',plain,
% 249.26/249.78 ( quot(d(s(s(e(e(e(zero)))))),s(e(zero))) = s(quot(d(s(e(e(e(zero))))),s(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16292.0.0','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.16292.0.2',plain,
% 249.26/249.78 ( quot(d(d(s(e(e(zero))))),s(e(zero))) = s(quot(d(s(e(e(e(zero))))),s(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16292.0.1','0.84.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.16292.0.3',plain,
% 249.26/249.78 ( quot(d(d(s(e(e(zero))))),e(e(zero))) = s(quot(d(s(e(e(e(zero))))),s(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16292.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.2','L')]).
% 249.26/249.78 cnf('0.16292.0.4',plain,
% 249.26/249.78 ( quot(d(d(s(e(e(zero))))),e(e(zero))) = s(quot(d(s(e(e(e(zero))))),e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16292.0.3','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.2','L')]).
% 249.26/249.78 cnf('0.16292.0.5',plain,
% 249.26/249.78 ( quot(d(d(s(e(e(zero))))),e(e(zero))) = s(s(e(e(e(zero))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16292.0.4','0.5935.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1','L')]).
% 249.26/249.78 cnf('0.16292.0.6',plain,
% 249.26/249.78 ( quot(d(d(s(e(e(zero))))),e(e(zero))) = d(s(e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16292.0.5','0.84.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('0.16292.1.0',plain,
% 249.26/249.78 ( quot(d(d(s(e(e(zero))))),e(e(zero))) = d(s(e(e(zero)))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.16292.0.6']),
% 249.26/249.78 [weight('<175,16290,4,[0,0,0,2]>')]).
% 249.26/249.78 cnf('0.16292.2.0',plain,
% 249.26/249.78 ( quot(d(d(s(e(e(zero))))),e(e(zero))) = d(s(e(e(zero)))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.16292.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_16271]).
% 249.26/249.78 cnf('0.16294.0.0',plain,
% 249.26/249.78 ( minus(s(d(d(s(e(e(zero)))))),e(zero)) = s(s(d(s(e(e(e(zero))))))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.2047.2.0','0.16291.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.16294.0.1',plain,
% 249.26/249.78 ( minus(s(d(d(s(e(e(zero)))))),e(zero)) = d(s(s(e(e(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16294.0.0','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('0.16294.0.2',plain,
% 249.26/249.78 ( minus(s(d(d(s(e(e(zero)))))),e(zero)) = d(d(s(e(e(zero))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.16294.0.1','0.84.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1','L')]).
% 249.26/249.78 cnf('0.16294.1.0',plain,
% 249.26/249.78 ( minus(s(d(d(s(e(e(zero)))))),e(zero)) = d(d(s(e(e(zero))))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.16294.0.2']),
% 249.26/249.78 [weight('<186,16291,2047,[0,0,0,1]>')]).
% 249.26/249.78 cnf('0.16294.2.0',plain,
% 249.26/249.78 ( minus(s(d(d(s(e(e(zero)))))),e(zero)) = d(d(s(e(e(zero))))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.16294.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_16273]).
% 249.26/249.78 cnf('0.51515.0.0',plain,
% 249.26/249.78 ( quot(s(s(d(d(s(e(e(zero))))))),s(e(zero))) = s(quot(d(d(s(e(e(zero))))),s(e(zero)))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.4.2.0','0.16294.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.51515.0.1',plain,
% 249.26/249.78 ( quot(d(s(d(s(e(e(zero)))))),s(e(zero))) = s(quot(d(d(s(e(e(zero))))),s(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51515.0.0','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.51515.0.2',plain,
% 249.26/249.78 ( quot(d(s(d(s(e(e(zero)))))),e(e(zero))) = s(quot(d(d(s(e(e(zero))))),s(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51515.0.1','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.2','L')]).
% 249.26/249.78 cnf('0.51515.0.3',plain,
% 249.26/249.78 ( quot(d(s(d(s(e(e(zero)))))),e(e(zero))) = s(quot(d(d(s(e(e(zero))))),e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51515.0.2','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.2','L')]).
% 249.26/249.78 cnf('0.51515.0.4',plain,
% 249.26/249.78 ( quot(d(s(d(s(e(e(zero)))))),e(e(zero))) = s(d(s(e(e(zero))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51515.0.3','0.16292.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1','L')]).
% 249.26/249.78 cnf('0.51515.1.0',plain,
% 249.26/249.78 ( quot(d(s(d(s(e(e(zero)))))),e(e(zero))) = s(d(s(e(e(zero))))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.51515.0.4']),
% 249.26/249.78 [weight('<215,16294,4,[0,0,0,2]>')]).
% 249.26/249.78 cnf('0.51515.2.0',plain,
% 249.26/249.78 ( quot(d(s(d(s(e(e(zero)))))),e(e(zero))) = s(d(s(e(e(zero))))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.51515.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_51488]).
% 249.26/249.78 cnf('0.51516.0.0',plain,
% 249.26/249.78 ( log(s(s(d(s(d(s(e(e(zero))))))))) = s(log(s(s(d(s(e(e(zero)))))))) ),
% 249.26/249.78 inference(cp,[status(thm)],['0.264.2.0','0.51515.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.1',plain,
% 249.26/249.78 ( log(d(s(s(d(s(e(e(zero)))))))) = s(log(s(s(d(s(e(e(zero)))))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.0','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.51516.0.2',plain,
% 249.26/249.78 ( log(d(d(s(s(e(e(zero))))))) = s(log(s(s(d(s(e(e(zero)))))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.1','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.3',plain,
% 249.26/249.78 ( log(d(d(e(e(e(zero)))))) = s(log(s(s(d(s(e(e(zero)))))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.2','0.44.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.4',plain,
% 249.26/249.78 ( log(d(e(s(e(e(zero)))))) = s(log(s(s(d(s(e(e(zero)))))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.3','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.5',plain,
% 249.26/249.78 ( log(e(s(s(e(e(zero)))))) = s(log(s(s(d(s(e(e(zero)))))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.4','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('0.51516.0.6',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = s(log(s(s(d(s(e(e(zero)))))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.5','0.44.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.7',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = s(log(d(s(s(e(e(zero))))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.6','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.8',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = s(log(d(e(e(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.7','0.44.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.9',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = s(log(e(s(e(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.8','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1','L')]).
% 249.26/249.78 cnf('0.51516.0.10',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = s(s(e(e(zero)))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.9','0.1870.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1','L')]).
% 249.26/249.78 cnf('0.51516.0.11',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = e(e(e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['0.51516.0.10','0.44.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('0.51516.1.0',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = e(e(e(zero))) ),
% 249.26/249.78 inference(weigh,[status(thm)],['0.51516.0.11']),
% 249.26/249.78 [weight('<76,51515,264,[0,0,0,3]>')]).
% 249.26/249.78 cnf('0.51516.2.0',plain,
% 249.26/249.78 ( log(e(e(e(e(zero))))) = e(e(e(zero))) ),
% 249.26/249.78 inference(orient,[status(thm)],['0.51516.1.0',theory(equality)]),
% 249.26/249.78 [u,rule_51489]).
% 249.26/249.78 cnf('1.0.0.0',conjecture,
% 249.26/249.78 ( s(s(s(s(zero)))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 file('/tmp/WALDMEISTER_13469_n002',conjecture_1)).
% 249.26/249.78 cnf('1.0.0.1',plain,
% 249.26/249.78 ( s(s(s(s(d(zero))))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1.1','R')]).
% 249.26/249.78 cnf('1.0.0.2',plain,
% 249.26/249.78 ( s(s(d(s(zero)))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.1','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1','L')]).
% 249.26/249.78 cnf('1.0.0.3',plain,
% 249.26/249.78 ( s(s(d(e(zero)))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.2','0.2.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1.1.1','L')]).
% 249.26/249.78 cnf('1.0.0.4',plain,
% 249.26/249.78 ( d(s(e(zero))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.3','0.1.2.0',theory(equality)]),
% 249.26/249.78 [pos('L','L')]).
% 249.26/249.78 cnf('1.0.0.5',plain,
% 249.26/249.78 ( d(e(e(zero))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.4','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('1.0.0.6',plain,
% 249.26/249.78 ( e(s(e(zero))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.5','0.14.2.0',theory(equality)]),
% 249.26/249.78 [pos('L','L')]).
% 249.26/249.78 cnf('1.0.0.7',plain,
% 249.26/249.78 ( e(e(e(zero))) = log(e(s(s(s(s(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.6','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('L.1','L')]).
% 249.26/249.78 cnf('1.0.0.8',plain,
% 249.26/249.78 ( e(e(e(zero))) = log(e(s(s(s(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.7','0.2.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1.1.1.1','L')]).
% 249.26/249.78 cnf('1.0.0.9',plain,
% 249.26/249.78 ( e(e(e(zero))) = log(e(s(s(e(e(zero)))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.8','0.16.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1.1.1','L')]).
% 249.26/249.78 cnf('1.0.0.10',plain,
% 249.26/249.78 ( e(e(e(zero))) = log(e(e(e(e(zero))))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.9','0.44.2.0',theory(equality)]),
% 249.26/249.78 [pos('R.1.1','L')]).
% 249.26/249.78 cnf('1.0.0.11',plain,
% 249.26/249.78 ( e(e(e(zero))) = e(e(e(zero))) ),
% 249.26/249.78 inference(reduction,[status(thm)],['1.0.0.10','0.51516.2.0',theory(equality)]),
% 249.26/249.78 [pos('R','L')]).
% 249.26/249.78 cnf('1.0.0.12',plain,
% 249.26/249.78 ( $true ),
% 249.26/249.78 inference(trivial,[status(thm)],['1.0.0.11',theory(equality)]),
% 249.26/249.78 [conjecture_1]).
% 249.26/249.78
% 249.26/249.78 Proved Goals:
% 249.26/249.78 No. 1: s^4(zero) ?= log(e(s^4(zero))) joined, current: e^3(zero) = e^3(zero)
% 249.26/249.78 1 goal was specified, which was proved.
% 249.26/249.78 % SZS output end CNFRefutation
% 249.26/249.78 #END OF PROOF
% 249.26/249.78
% 249.26/249.78 Problem WALDMEISTER_13469_n002
% 249.26/249.78 CPs.gen 9277805
% 249.26/249.78 CPs.reexp 0
% 249.26/249.78 Select 98593
% 249.26/249.78 R 51489
% 249.26/249.78 E 27
% 249.26/249.78 vsize 48.2M
% 249.26/249.78 rss 46.1M
% 249.26/249.78 process.time 248.754s
% 249.26/249.78 wallclock.time 248.795s
% 249.26/249.78 status S
% 249.26/249.78
% 249.26/249.78
% 249.26/249.78 Waldmeister states: Goal proved.
% 249.26/249.78 % SZS status Unsatisfiable
%------------------------------------------------------------------------------