%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : PUZ164-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n003.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 06:49:54 PM UTC 2026
% Result : Unsatisfiable 198.51s 198.92s
% Output : CNFRefutation 198.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ164-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : woody %s
% 0.15/0.33 % Computer : n003.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 05:04:11 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.51/0.93 ********************************************************************************
% 0.51/0.93 * W A L D M E I S T E R \| \ / \|/ *
% 0.51/0.93 * |/ | \/ | *
% 0.51/0.93 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.51/0.93 * A. Jaeger and B. Loechner | | *
% 0.51/0.93 * <waldmeister@informatik.uni-kl.de> | *
% 0.51/0.93 ********************************************************************************
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 Goals:
% 0.51/0.93 ------
% 0.51/0.93
% 0.51/0.93 ( 1) true ?=? reach(zero,zero,g,empty)
% 0.51/0.93
% 0.51/0.93 Detected structure: Orkus
% 0.51/0.93 ********************************************************************************
% 0.51/0.93 ****************************** COMPLETION - PROOF ******************************
% 0.51/0.93 ********************************************************************************
% 0.51/0.93
% 198.51/198.92 joined goal: 1 true ?= reach(zero,zero,g,empty) to true
% 198.51/198.92 goal joined
% 198.51/198.92 % SZS status Unsatisfiable
% 198.51/198.92 #START OF PROOF
% 198.51/198.92 % SZS output start CNFRefutation
% 198.51/198.92 cnf('0.1.0.0',axiom,
% 198.51/198.92 ( X1 = union(empty,X1) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.1.1.0',plain,
% 198.51/198.92 ( X1 = union(empty,X1) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.1.0.0']),
% 198.51/198.92 [weight('<0,0,0,[0,0,0,1]>')]).
% 198.51/198.92 cnf('0.1.2.0',plain,
% 198.51/198.92 ( union(empty,X1) = X1 ),
% 198.51/198.92 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_1]).
% 198.51/198.92 cnf('0.2.0.0',axiom,
% 198.51/198.92 ( X1 = or(false,X1) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.2.1.0',plain,
% 198.51/198.92 ( X1 = or(false,X1) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.2.0.0']),
% 198.51/198.92 [weight('<1,0,0,[0,0,0,2]>')]).
% 198.51/198.92 cnf('0.2.2.0',plain,
% 198.51/198.92 ( or(false,X1) = X1 ),
% 198.51/198.92 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_2]).
% 198.51/198.92 cnf('0.3.0.0',axiom,
% 198.51/198.92 ( edge(X1,X2,union(X3,X4)) = union(edge(X1,X2,X3),X4) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.3.1.0',plain,
% 198.51/198.92 ( edge(X1,X2,union(X3,X4)) = union(edge(X1,X2,X3),X4) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.3.0.0']),
% 198.51/198.92 [weight('<2,0,0,[0,0,0,3]>')]).
% 198.51/198.92 cnf('0.3.2.0',plain,
% 198.51/198.92 ( union(edge(X1,X2,X3),X4) = edge(X1,X2,union(X3,X4)) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_3]).
% 198.51/198.92 cnf('0.4.0.0',axiom,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)))) = g ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.4.1.0',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)))) = g ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.4.0.0']),
% 198.51/198.92 [weight('<3,0,0,[0,0,0,4]>')]).
% 198.51/198.92 cnf('0.4.2.0',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)))) = g ),
% 198.51/198.92 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_4]).
% 198.51/198.92 cnf('0.5.0.0',axiom,
% 198.51/198.92 ( eq(X1,X2) = eq(s(X1),s(X2)) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.5.1.0',plain,
% 198.51/198.92 ( eq(X1,X2) = eq(s(X1),s(X2)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.5.0.0']),
% 198.51/198.92 [weight('<4,0,0,[0,0,0,5]>')]).
% 198.51/198.92 cnf('0.5.2.0',plain,
% 198.51/198.92 ( eq(s(X1),s(X2)) = eq(X1,X2) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_5]).
% 198.51/198.92 cnf('0.7.0.0',axiom,
% 198.51/198.92 ( eq(zero,s(X1)) = false ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.7.1.0',plain,
% 198.51/198.92 ( eq(zero,s(X1)) = false ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.7.0.0']),
% 198.51/198.92 [weight('<6,0,0,[0,0,0,7]>')]).
% 198.51/198.92 cnf('0.7.2.0',plain,
% 198.51/198.92 ( eq(zero,s(X1)) = false ),
% 198.51/198.92 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_7]).
% 198.51/198.92 cnf('0.8.0.0',axiom,
% 198.51/198.92 ( eq(zero,zero) = true ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.8.1.0',plain,
% 198.51/198.92 ( eq(zero,zero) = true ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.8.0.0']),
% 198.51/198.92 [weight('<7,0,0,[0,0,0,8]>')]).
% 198.51/198.92 cnf('0.8.2.0',plain,
% 198.51/198.92 ( eq(zero,zero) = true ),
% 198.51/198.92 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_8]).
% 198.51/198.92 cnf('0.9.0.0',axiom,
% 198.51/198.92 ( false = reach(X1,X2,empty,X3) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.9.1.0',plain,
% 198.51/198.92 ( false = reach(X1,X2,empty,X3) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.9.0.0']),
% 198.51/198.92 [weight('<8,0,0,[0,0,0,9]>')]).
% 198.51/198.92 cnf('0.9.2.0',plain,
% 198.51/198.92 ( reach(X1,X2,empty,X3) = false ),
% 198.51/198.92 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_9]).
% 198.51/198.92 cnf('0.11.0.0',axiom,
% 198.51/198.92 ( true = if_reach_2(true,X1,X2,edge(X3,X4,X5),X6) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.11.1.0',plain,
% 198.51/198.92 ( true = if_reach_2(true,X1,X2,edge(X3,X4,X5),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.11.0.0']),
% 198.51/198.92 [weight('<10,0,0,[0,0,0,11]>')]).
% 198.51/198.92 cnf('0.11.2.0',plain,
% 198.51/198.92 ( if_reach_2(true,X1,X2,edge(X3,X4,X5),X6) = true ),
% 198.51/198.92 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_11]).
% 198.51/198.92 cnf('0.12.0.0',axiom,
% 198.51/198.92 ( reach(X1,X2,X3,edge(X4,X5,X6)) = if_reach_1(false,X1,X2,edge(X4,X5,X3),X6) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.12.1.0',plain,
% 198.51/198.92 ( reach(X1,X2,X3,edge(X4,X5,X6)) = if_reach_1(false,X1,X2,edge(X4,X5,X3),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.12.0.0']),
% 198.51/198.92 [weight('<11,0,0,[0,0,0,12]>')]).
% 198.51/198.92 cnf('0.12.2.0',plain,
% 198.51/198.92 ( if_reach_1(false,X1,X2,edge(X3,X4,X5),X6) = reach(X1,X2,X5,edge(X3,X4,X6)) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_12]).
% 198.51/198.92 cnf('0.13.0.0',axiom,
% 198.51/198.92 ( reach(X1,X2,edge(X3,X4,X5),X6) = if_reach_1(eq(X1,X3),X1,X2,edge(X3,X4,X5),X6) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.13.1.0',plain,
% 198.51/198.92 ( reach(X1,X2,edge(X3,X4,X5),X6) = if_reach_1(eq(X1,X3),X1,X2,edge(X3,X4,X5),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.13.0.0']),
% 198.51/198.92 [weight('<12,0,0,[0,0,0,13]>')]).
% 198.51/198.92 cnf('0.13.2.0',plain,
% 198.51/198.92 ( if_reach_1(eq(X1,X2),X1,X3,edge(X2,X4,X5),X6) = reach(X1,X3,edge(X2,X4,X5),X6) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_13]).
% 198.51/198.92 cnf('0.14.0.0',axiom,
% 198.51/198.92 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.14.1.0',plain,
% 198.51/198.92 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.14.0.0']),
% 198.51/198.92 [weight('<13,0,0,[0,0,0,14]>')]).
% 198.51/198.92 cnf('0.14.2.0',plain,
% 198.51/198.92 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 198.51/198.92 inference(activate,[status(thm)],['0.14.1.0']),
% 198.51/198.92 [equation_1]).
% 198.51/198.92 cnf('0.14.2.1',plain,
% 198.51/198.92 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(const2,X5,X3),X4) ),
% 198.51/198.92 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.15.0.0',axiom,
% 198.51/198.92 ( if_reach_1(true,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(eq(X2,X4),X1,X2,edge(X3,X4,X5),X6) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.15.1.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(eq(X2,X4),X1,X2,edge(X3,X4,X5),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.15.0.0']),
% 198.51/198.92 [weight('<14,0,0,[0,0,0,15]>')]).
% 198.51/198.92 cnf('0.15.2.0',plain,
% 198.51/198.92 ( if_reach_2(eq(X1,X2),X3,X1,edge(X4,X2,X5),X6) = if_reach_1(true,X3,X1,edge(X4,X2,X5),X6) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_14]).
% 198.51/198.92 cnf('0.17.0.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,edge(X2,zero,X3),X4) = if_reach_2(true,X1,zero,edge(X2,zero,X3),X4) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.15.2.0','0.8.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.17.0.1',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,edge(X2,zero,X3),X4) = true ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.17.0.0','0.11.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.17.1.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,edge(X2,zero,X3),X4) = true ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.17.0.1']),
% 198.51/198.92 [weight('<109,15,8,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.17.2.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,edge(X2,zero,X3),X4) = true ),
% 198.51/198.92 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_16]).
% 198.51/198.92 cnf('0.18.0.0',plain,
% 198.51/198.92 ( reach(X1,X2,edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)))),X3) = if_reach_1(eq(X1,zero),X1,X2,g,X3) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.4','L')]).
% 198.51/198.92 cnf('0.18.0.1',plain,
% 198.51/198.92 ( reach(X1,X2,g,X3) = if_reach_1(eq(X1,zero),X1,X2,g,X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.18.0.0','0.4.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.3','L')]).
% 198.51/198.92 cnf('0.18.1.0',plain,
% 198.51/198.92 ( reach(X1,X2,g,X3) = if_reach_1(eq(X1,zero),X1,X2,g,X3) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.18.0.1']),
% 198.51/198.92 [weight('<125,13,4,[1,0,0,6]>')]).
% 198.51/198.92 cnf('0.18.2.0',plain,
% 198.51/198.92 ( if_reach_1(eq(X1,zero),X1,X2,g,X3) = reach(X1,X2,g,X3) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_17]).
% 198.51/198.92 cnf('0.19.0.0',plain,
% 198.51/198.92 ( reach(zero,X1,g,X2) = if_reach_1(true,zero,X1,g,X2) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.18.2.0','0.8.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.19.1.0',plain,
% 198.51/198.92 ( reach(zero,X1,g,X2) = if_reach_1(true,zero,X1,g,X2) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.19.0.0']),
% 198.51/198.92 [weight('<83,18,8,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.19.2.0',plain,
% 198.51/198.92 ( if_reach_1(true,zero,X1,g,X2) = reach(zero,X1,g,X2) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_18]).
% 198.51/198.92 cnf('0.22.0.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,X2,edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)))),X3) = if_reach_2(eq(X2,s(zero)),X1,X2,g,X3) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.15.2.0','0.4.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.4','L')]).
% 198.51/198.92 cnf('0.22.0.1',plain,
% 198.51/198.92 ( if_reach_1(true,X1,X2,g,X3) = if_reach_2(eq(X2,s(zero)),X1,X2,g,X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.22.0.0','0.4.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.4','L')]).
% 198.51/198.92 cnf('0.22.1.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,X2,g,X3) = if_reach_2(eq(X2,s(zero)),X1,X2,g,X3) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.22.0.1']),
% 198.51/198.92 [weight('<159,15,4,[1,0,0,6]>')]).
% 198.51/198.92 cnf('0.22.2.0',plain,
% 198.51/198.92 ( if_reach_2(eq(X1,s(zero)),X2,X1,g,X3) = if_reach_1(true,X2,X1,g,X3) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_21]).
% 198.51/198.92 cnf('0.23.0.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,g,X2) = if_reach_2(false,X1,zero,g,X2) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.22.2.0','0.7.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.23.1.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,g,X2) = if_reach_2(false,X1,zero,g,X2) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.23.0.0']),
% 198.51/198.92 [weight('<90,22,7,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.23.2.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,g,X2) = if_reach_2(false,X1,zero,g,X2) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_22]).
% 198.51/198.92 cnf('0.24.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,zero,g,X1) = reach(zero,zero,g,X1) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.23.2.0','0.19.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.24.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,zero,g,X1) = reach(zero,zero,g,X1) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.24.0.0']),
% 198.51/198.92 [weight('<83,23,19,[1,0,0,0]>')]).
% 198.51/198.92 cnf('0.24.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,zero,g,X1) = reach(zero,zero,g,X1) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_23]).
% 198.51/198.92 cnf('0.35.0.0',plain,
% 198.51/198.92 ( reach(zero,X1,edge(s(X2),X3,X4),X5) = if_reach_1(false,zero,X1,edge(s(X2),X3,X4),X5) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.13.2.0','0.7.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.35.0.1',plain,
% 198.51/198.92 ( reach(zero,X1,edge(s(X2),X3,X4),X5) = reach(zero,X1,X4,edge(s(X2),X3,X5)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.35.0.0','0.12.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.35.1.0',plain,
% 198.51/198.92 ( reach(zero,X1,edge(s(X2),X3,X4),X5) = reach(zero,X1,X4,edge(s(X2),X3,X5)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.35.0.1']),
% 198.51/198.92 [weight('<189,13,7,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.35.2.0',plain,
% 198.51/198.92 ( reach(zero,X1,edge(s(X2),X3,X4),X5) = reach(zero,X1,X4,edge(s(X2),X3,X5)) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_34]).
% 198.51/198.92 cnf('0.42.0.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,edge(X2,s(X3),X4),X5) = if_reach_2(false,X1,zero,edge(X2,s(X3),X4),X5) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.15.2.0','0.7.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.42.1.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,edge(X2,s(X3),X4),X5) = if_reach_2(false,X1,zero,edge(X2,s(X3),X4),X5) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.42.0.0']),
% 198.51/198.92 [weight('<230,15,7,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.42.2.0',plain,
% 198.51/198.92 ( if_reach_1(true,X1,zero,edge(X2,s(X3),X4),X5) = if_reach_2(false,X1,zero,edge(X2,s(X3),X4),X5) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_41]).
% 198.51/198.92 cnf('0.50.0.0',plain,
% 198.51/198.92 ( reach(s(X1),X2,edge(s(X3),X4,X5),X6) = if_reach_1(eq(X1,X3),s(X1),X2,edge(s(X3),X4,X5),X6) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.13.2.0','0.5.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.50.1.0',plain,
% 198.51/198.92 ( reach(s(X1),X2,edge(s(X3),X4,X5),X6) = if_reach_1(eq(X1,X3),s(X1),X2,edge(s(X3),X4,X5),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.50.0.0']),
% 198.51/198.92 [weight('<335,13,5,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.50.2.0',plain,
% 198.51/198.92 ( if_reach_1(eq(X1,X2),s(X1),X3,edge(s(X2),X4,X5),X6) = reach(s(X1),X3,edge(s(X2),X4,X5),X6) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_49]).
% 198.51/198.92 cnf('0.51.0.0',plain,
% 198.51/198.92 ( reach(s(zero),X1,edge(s(zero),X2,X3),X4) = if_reach_1(true,s(zero),X1,edge(s(zero),X2,X3),X4) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.50.2.0','0.8.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.51.1.0',plain,
% 198.51/198.92 ( reach(s(zero),X1,edge(s(zero),X2,X3),X4) = if_reach_1(true,s(zero),X1,edge(s(zero),X2,X3),X4) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.51.0.0']),
% 198.51/198.92 [weight('<263,50,8,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.51.2.0',plain,
% 198.51/198.92 ( if_reach_1(true,s(zero),X1,edge(s(zero),X2,X3),X4) = reach(s(zero),X1,edge(s(zero),X2,X3),X4) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_50]).
% 198.51/198.92 cnf('0.55.0.0',plain,
% 198.51/198.92 ( reach(s(zero),X1,edge(s(s(X2)),X3,X4),X5) = if_reach_1(false,s(zero),X1,edge(s(s(X2)),X3,X4),X5) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.50.2.0','0.7.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.55.0.1',plain,
% 198.51/198.92 ( reach(s(zero),X1,edge(s(s(X2)),X3,X4),X5) = reach(s(zero),X1,X4,edge(s(s(X2)),X3,X5)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.55.0.0','0.12.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.55.1.0',plain,
% 198.51/198.92 ( reach(s(zero),X1,edge(s(s(X2)),X3,X4),X5) = reach(s(zero),X1,X4,edge(s(s(X2)),X3,X5)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.55.0.1']),
% 198.51/198.92 [weight('<275,50,7,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.55.2.0',plain,
% 198.51/198.92 ( reach(s(zero),X1,edge(s(s(X2)),X3,X4),X5) = reach(s(zero),X1,X4,edge(s(s(X2)),X3,X5)) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_54]).
% 198.51/198.92 cnf('0.58.0.0',plain,
% 198.51/198.92 ( reach(s(zero),zero,edge(s(zero),s(X1),X2),X3) = if_reach_2(false,s(zero),zero,edge(s(zero),s(X1),X2),X3) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.51.2.0','0.42.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.58.1.0',plain,
% 198.51/198.92 ( reach(s(zero),zero,edge(s(zero),s(X1),X2),X3) = if_reach_2(false,s(zero),zero,edge(s(zero),s(X1),X2),X3) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.58.0.0']),
% 198.51/198.92 [weight('<311,51,42,[1,0,0,0]>')]).
% 198.51/198.92 cnf('0.58.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),zero,edge(s(zero),s(X1),X2),X3) = reach(s(zero),zero,edge(s(zero),s(X1),X2),X3) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_57]).
% 198.51/198.92 cnf('0.60.0.0',axiom,
% 198.51/198.92 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003')).
% 198.51/198.92 cnf('0.60.1.0',plain,
% 198.51/198.92 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.60.0.0']),
% 198.51/198.92 [weight('<0,0,0,[0,0,0,14]>')]).
% 198.51/198.92 cnf('0.60.1.1',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(const2,X5,X3),X4) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.60.1.0','0.14.2.1',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.60.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(const2,X3,X4),X5) = if_reach_2(false,X1,X2,edge(X6,X3,X4),X5) ),
% 198.51/198.92 inference(activate,[status(thm)],['0.60.1.1']),
% 198.51/198.92 [equation_2]).
% 198.51/198.92 cnf('0.60.2.1',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(const2,X3,X4),X5) = if_reach_2(false,X1,X2,edge(const2,X3,X4),X5) ),
% 198.51/198.92 inference(instr,[status(thm)],['0.60.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.66.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),zero,edge(s(zero),s(X1),X2),X3) = reach(s(zero),zero,edge(s(zero),s(X1),X2),X3) ),
% 198.51/198.92 inference(interreduction_right,[status(thm)],['0.58.2.0'])).
% 198.51/198.92 cnf('0.66.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),zero,edge(s(zero),s(X1),X2),X3) = reach(s(zero),zero,edge(s(zero),s(X1),X2),X3) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.66.0.0']),
% 198.51/198.92 [weight('<311,58,60,[0,0,0,0]>')]).
% 198.51/198.92 cnf('0.66.1.1',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),zero,edge(const2,s(X1),X2),X3) = reach(s(zero),zero,edge(s(zero),s(X1),X2),X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.66.1.0','0.60.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','R')]).
% 198.51/198.92 cnf('0.66.2.0',plain,
% 198.51/198.92 ( reach(s(zero),zero,edge(s(zero),s(X1),X2),X3) = if_reach_2(false,s(zero),zero,edge(const2,s(X1),X2),X3) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.66.1.1',theory(equality)]),
% 198.51/198.92 [x,rule_64]).
% 198.51/198.92 cnf('0.91.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X7,X4,X5),X6) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.14.2.0','0.14.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.91.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X7,X4,X5),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.91.0.0']),
% 198.51/198.92 [weight('<360,14,14,[1,0,0,0]>')]).
% 198.51/198.92 cnf('0.91.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X7,X4,X5),X6) ),
% 198.51/198.92 inference(activate,[status(thm)],['0.91.1.0']),
% 198.51/198.92 [equation_3]).
% 198.51/198.92 cnf('0.91.2.1',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(const2,X4,X5),X6) ),
% 198.51/198.92 inference(instr,[status(thm)],['0.91.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.91.2.2',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(const2,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) ),
% 198.51/198.92 inference(instl,[status(thm)],['0.91.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.105.0.0',plain,
% 198.51/198.92 ( reach(s(s(X1)),X2,edge(s(s(X3)),X4,X5),X6) = if_reach_1(eq(X1,X3),s(s(X1)),X2,edge(s(s(X3)),X4,X5),X6) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.50.2.0','0.5.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.105.1.0',plain,
% 198.51/198.92 ( reach(s(s(X1)),X2,edge(s(s(X3)),X4,X5),X6) = if_reach_1(eq(X1,X3),s(s(X1)),X2,edge(s(s(X3)),X4,X5),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.105.0.0']),
% 198.51/198.92 [weight('<447,50,5,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.105.2.0',plain,
% 198.51/198.92 ( if_reach_1(eq(X1,X2),s(s(X1)),X3,edge(s(s(X2)),X4,X5),X6) = reach(s(s(X1)),X3,edge(s(s(X2)),X4,X5),X6) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_102]).
% 198.51/198.92 cnf('0.106.0.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),X1,edge(s(s(zero)),X2,X3),X4) = if_reach_1(true,s(s(zero)),X1,edge(s(s(zero)),X2,X3),X4) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.105.2.0','0.8.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.106.1.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),X1,edge(s(s(zero)),X2,X3),X4) = if_reach_1(true,s(s(zero)),X1,edge(s(s(zero)),X2,X3),X4) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.106.0.0']),
% 198.51/198.92 [weight('<363,105,8,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.106.2.0',plain,
% 198.51/198.92 ( if_reach_1(true,s(s(zero)),X1,edge(s(s(zero)),X2,X3),X4) = reach(s(s(zero)),X1,edge(s(s(zero)),X2,X3),X4) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_103]).
% 198.51/198.92 cnf('0.111.0.0',plain,
% 198.51/198.92 ( edge(zero,s(zero),union(edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty))),X1)) = union(g,X1) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.111.0.1',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),union(edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)),X1))) = union(g,X1) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.111.0.0','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.3','L')]).
% 198.51/198.92 cnf('0.111.0.2',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),union(edge(s(s(s(zero))),zero,empty),X1)))) = union(g,X1) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.111.0.1','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.3.3','L')]).
% 198.51/198.92 cnf('0.111.0.3',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,union(empty,X1))))) = union(g,X1) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.111.0.2','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.3.3.3','L')]).
% 198.51/198.92 cnf('0.111.0.4',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X1)))) = union(g,X1) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.111.0.3','0.1.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.3.3.3.3','L')]).
% 198.51/198.92 cnf('0.111.1.0',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X1)))) = union(g,X1) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.111.0.4']),
% 198.51/198.92 [weight('<?,4,3,[0,0,0,1]>')]).
% 198.51/198.92 cnf('0.111.2.0',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X1)))) = union(g,X1) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_108]).
% 198.51/198.92 cnf('0.112.0.0',plain,
% 198.51/198.92 ( edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)))) = g ),
% 198.51/198.92 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 198.51/198.92 cnf('0.112.0.1',plain,
% 198.51/198.92 ( union(g,empty) = g ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.112.0.0','0.111.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.112.1.0',plain,
% 198.51/198.92 ( union(g,empty) = g ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.112.0.1']),
% 198.51/198.92 [weight('<19,4,111,[0,0,0,0]>')]).
% 198.51/198.92 cnf('0.112.2.0',plain,
% 198.51/198.92 ( union(g,empty) = g ),
% 198.51/198.92 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_109]).
% 198.51/198.92 cnf('0.135.0.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),X1,edge(s(s(s(X2))),X3,X4),X5) = if_reach_1(false,s(s(zero)),X1,edge(s(s(s(X2))),X3,X4),X5) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.105.2.0','0.7.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.135.0.1',plain,
% 198.51/198.92 ( reach(s(s(zero)),X1,edge(s(s(s(X2))),X3,X4),X5) = reach(s(s(zero)),X1,X4,edge(s(s(s(X2))),X3,X5)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.135.0.0','0.12.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.135.1.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),X1,edge(s(s(s(X2))),X3,X4),X5) = reach(s(s(zero)),X1,X4,edge(s(s(s(X2))),X3,X5)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.135.0.1']),
% 198.51/198.92 [weight('<377,105,7,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.135.2.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),X1,edge(s(s(s(X2))),X3,X4),X5) = reach(s(s(zero)),X1,X4,edge(s(s(s(X2))),X3,X5)) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_132]).
% 198.51/198.92 cnf('0.141.0.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),zero,edge(s(s(zero)),s(X1),X2),X3) = if_reach_2(false,s(s(zero)),zero,edge(s(s(zero)),s(X1),X2),X3) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.106.2.0','0.42.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.141.1.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),zero,edge(s(s(zero)),s(X1),X2),X3) = if_reach_2(false,s(s(zero)),zero,edge(s(s(zero)),s(X1),X2),X3) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.141.0.0']),
% 198.51/198.92 [weight('<419,106,42,[1,0,0,0]>')]).
% 198.51/198.92 cnf('0.141.1.1',plain,
% 198.51/198.92 ( reach(s(s(zero)),zero,edge(s(s(zero)),s(X1),X2),X3) = if_reach_2(false,s(s(zero)),zero,edge(const2,s(X1),X2),X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.141.1.0','0.91.2.1',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.141.2.0',plain,
% 198.51/198.92 ( reach(s(s(zero)),zero,edge(s(s(zero)),s(X1),X2),X3) = if_reach_2(false,s(s(zero)),zero,edge(const2,s(X1),X2),X3) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.141.1.1',theory(equality)]),
% 198.51/198.92 [u,rule_138]).
% 198.51/198.92 cnf('0.242.0.0',plain,
% 198.51/198.92 ( reach(s(s(s(X1))),X2,edge(s(s(s(X3))),X4,X5),X6) = if_reach_1(eq(X1,X3),s(s(s(X1))),X2,edge(s(s(s(X3))),X4,X5),X6) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.105.2.0','0.5.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.242.1.0',plain,
% 198.51/198.92 ( reach(s(s(s(X1))),X2,edge(s(s(s(X3))),X4,X5),X6) = if_reach_1(eq(X1,X3),s(s(s(X1))),X2,edge(s(s(s(X3))),X4,X5),X6) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.242.0.0']),
% 198.51/198.92 [weight('<575,105,5,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.242.2.0',plain,
% 198.51/198.92 ( if_reach_1(eq(X1,X2),s(s(s(X1))),X3,edge(s(s(s(X2))),X4,X5),X6) = reach(s(s(s(X1))),X3,edge(s(s(s(X2))),X4,X5),X6) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.242.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_236]).
% 198.51/198.92 cnf('0.243.0.0',plain,
% 198.51/198.92 ( reach(s(s(s(zero))),X1,edge(s(s(s(zero))),X2,X3),X4) = if_reach_1(true,s(s(s(zero))),X1,edge(s(s(s(zero))),X2,X3),X4) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.242.2.0','0.8.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.243.1.0',plain,
% 198.51/198.92 ( reach(s(s(s(zero))),X1,edge(s(s(s(zero))),X2,X3),X4) = if_reach_1(true,s(s(s(zero))),X1,edge(s(s(s(zero))),X2,X3),X4) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.243.0.0']),
% 198.51/198.92 [weight('<479,242,8,[1,0,0,1]>')]).
% 198.51/198.92 cnf('0.243.2.0',plain,
% 198.51/198.92 ( if_reach_1(true,s(s(s(zero))),X1,edge(s(s(s(zero))),X2,X3),X4) = reach(s(s(s(zero))),X1,edge(s(s(s(zero))),X2,X3),X4) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.243.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_237]).
% 198.51/198.92 cnf('0.244.0.0',plain,
% 198.51/198.92 ( reach(s(s(s(zero))),zero,edge(s(s(s(zero))),zero,X1),X2) = true ),
% 198.51/198.92 inference(cp,[status(thm)],['0.243.2.0','0.17.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.244.1.0',plain,
% 198.51/198.92 ( reach(s(s(s(zero))),zero,edge(s(s(s(zero))),zero,X1),X2) = true ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.244.0.0']),
% 198.51/198.92 [weight('<239,243,17,[1,0,0,0]>')]).
% 198.51/198.92 cnf('0.244.2.0',plain,
% 198.51/198.92 ( reach(s(s(s(zero))),zero,edge(s(s(s(zero))),zero,X1),X2) = true ),
% 198.51/198.92 inference(orient,[status(thm)],['0.244.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_238]).
% 198.51/198.92 cnf('0.264.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,edge(X2,X3,edge(s(X4),X5,X6)),X7) = or(reach(zero,X1,X6,edge(s(X4),X5,X7)),reach(X3,X1,union(edge(s(X4),X5,X6),X7),empty)) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.14.2.0','0.35.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.264.0.1',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,edge(X2,X3,edge(s(X4),X5,X6)),X7) = or(reach(zero,X1,X6,edge(s(X4),X5,X7)),reach(X3,X1,edge(s(X4),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.264.0.0','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.2.3','L')]).
% 198.51/198.92 cnf('0.264.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,edge(X2,X3,edge(s(X4),X5,X6)),X7) = or(reach(zero,X1,X6,edge(s(X4),X5,X7)),reach(X3,X1,edge(s(X4),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.264.0.1']),
% 198.51/198.92 [weight('<?,35,14,[0,0,0,1]>')]).
% 198.51/198.92 cnf('0.264.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,edge(X2,X3,edge(s(X4),X5,X6)),X7) = or(reach(zero,X1,X6,edge(s(X4),X5,X7)),reach(X3,X1,edge(s(X4),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(activate,[status(thm)],['0.264.1.0']),
% 198.51/198.92 [equation_7]).
% 198.51/198.92 cnf('0.264.2.2',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,edge(const2,X6,edge(s(X3),X4,X2)),X5) = or(reach(zero,X1,X2,edge(s(X3),X4,X5)),reach(X6,X1,edge(s(X3),X4,union(X2,X5)),empty)) ),
% 198.51/198.92 inference(instl,[status(thm)],['0.264.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.468.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(zero),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,union(edge(s(s(X4)),X5,X6),X7),empty)) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.14.2.0','0.55.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.468.0.1',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(zero),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,edge(s(s(X4)),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.468.0.0','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.2.3','L')]).
% 198.51/198.92 cnf('0.468.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(zero),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,edge(s(s(X4)),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.468.0.1']),
% 198.51/198.92 [weight('<?,55,14,[0,0,0,1]>')]).
% 198.51/198.92 cnf('0.468.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(zero),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,edge(s(s(X4)),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(activate,[status(thm)],['0.468.1.0']),
% 198.51/198.92 [equation_11]).
% 198.51/198.92 cnf('0.468.2.2',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(const2,X6,edge(s(s(X3)),X4,X2)),X5) = or(reach(s(zero),X1,X2,edge(s(s(X3)),X4,X5)),reach(X6,X1,edge(s(s(X3)),X4,union(X2,X5)),empty)) ),
% 198.51/198.92 inference(instl,[status(thm)],['0.468.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.927.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(X3,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X4)))),X5) = if_reach_2(false,X1,X2,union(g,X4),X5) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.91.2.0','0.111.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.4','L')]).
% 198.51/198.92 cnf('0.927.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(X3,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X4)))),X5) = if_reach_2(false,X1,X2,union(g,X4),X5) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.927.0.0']),
% 198.51/198.92 [weight('<?,111,91,[0,0,0,4]>')]).
% 198.51/198.92 cnf('0.927.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,X1,X2,edge(X3,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X4)))),X5) = if_reach_2(false,X1,X2,union(g,X4),X5) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.927.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_909]).
% 198.51/198.92 cnf('0.1029.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(zero)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,union(edge(s(s(s(X4))),X5,X6),X7),empty)) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.14.2.0','0.135.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.1029.0.1',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(zero)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,edge(s(s(s(X4))),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.1029.0.0','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.2.3','L')]).
% 198.51/198.92 cnf('0.1029.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(zero)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,edge(s(s(s(X4))),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.1029.0.1']),
% 198.51/198.92 [weight('<?,135,14,[0,0,0,1]>')]).
% 198.51/198.92 cnf('0.1029.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(zero)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,edge(s(s(s(X4))),X5,union(X6,X7)),empty)) ),
% 198.51/198.92 inference(activate,[status(thm)],['0.1029.1.0']),
% 198.51/198.92 [equation_20]).
% 198.51/198.92 cnf('0.1029.2.2',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(const2,X6,edge(s(s(s(X3))),X4,X2)),X5) = or(reach(s(s(zero)),X1,X2,edge(s(s(s(X3))),X4,X5)),reach(X6,X1,edge(s(s(s(X3))),X4,union(X2,X5)),empty)) ),
% 198.51/198.92 inference(instl,[status(thm)],['0.1029.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.1030.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,empty)),X6) = or(reach(s(s(zero)),X1,empty,edge(s(s(s(X4))),X5,X6)),reach(X3,X1,edge(s(s(s(X4))),X5,X6),empty)) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.1029.2.0','0.1.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.2.3.3','L')]).
% 198.51/198.92 cnf('0.1030.0.1',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,empty)),X6) = or(false,reach(X3,X1,edge(s(s(s(X4))),X5,X6),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.1030.0.0','0.9.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.1','L')]).
% 198.51/198.92 cnf('0.1030.0.2',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,empty)),X6) = reach(X3,X1,edge(s(s(s(X4))),X5,X6),empty) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.1030.0.1','0.2.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.1030.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,empty)),X6) = reach(X3,X1,edge(s(s(s(X4))),X5,X6),empty) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.1030.0.2']),
% 198.51/198.92 [weight('<521,1029,1,[1,1,0,23]>')]).
% 198.51/198.92 cnf('0.1030.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(s(zero)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,empty)),X6) = reach(X3,X1,edge(s(s(s(X4))),X5,X6),empty) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.1030.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_1010]).
% 198.51/198.92 cnf('0.10362.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(zero),X1,X8,edge(s(s(X6)),X7,edge(s(s(X4)),X5,X9))),reach(X3,X1,edge(s(s(X4)),X5,union(edge(s(s(X6)),X7,X8),X9)),empty)) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.468.2.0','0.55.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.1','L')]).
% 198.51/198.92 cnf('0.10362.0.1',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(zero),X1,X8,edge(s(s(X6)),X7,edge(s(s(X4)),X5,X9))),reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,union(X8,X9))),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.10362.0.0','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.2.3.3','L')]).
% 198.51/198.92 cnf('0.10362.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(zero),X1,X8,edge(s(s(X6)),X7,edge(s(s(X4)),X5,X9))),reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,union(X8,X9))),empty)) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.10362.0.1']),
% 198.51/198.92 [weight('<?,468,55,[1,1,0,1]>')]).
% 198.51/198.92 cnf('0.10362.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(zero),X1,X8,edge(s(s(X6)),X7,edge(s(s(X4)),X5,X9))),reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,union(X8,X9))),empty)) ),
% 198.51/198.92 inference(activate,[status(thm)],['0.10362.1.0']),
% 198.51/198.92 [equation_155]).
% 198.51/198.92 cnf('0.10362.2.2',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(const2,X8,edge(s(s(X5)),X6,edge(s(s(X3)),X4,X2))),X7) = or(reach(s(zero),X1,X2,edge(s(s(X3)),X4,edge(s(s(X5)),X6,X7))),reach(X8,X1,edge(s(s(X5)),X6,edge(s(s(X3)),X4,union(X2,X7))),empty)) ),
% 198.51/198.92 inference(instl,[status(thm)],['0.10362.2.0',theory(equality)])).
% 198.51/198.92 cnf('0.10366.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,empty))),X8) = or(reach(s(zero),X1,empty,edge(s(s(X6)),X7,edge(s(s(X4)),X5,X8))),reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8)),empty)) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.10362.2.0','0.1.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.2.3.3.3','L')]).
% 198.51/198.92 cnf('0.10366.0.1',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,empty))),X8) = or(false,reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8)),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.10366.0.0','0.9.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.1','L')]).
% 198.51/198.92 cnf('0.10366.0.2',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,empty))),X8) = reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8)),empty) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.10366.0.1','0.2.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.10366.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,empty))),X8) = reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8)),empty) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.10366.0.2']),
% 198.51/198.92 [weight('<755,10362,1,[1,1,0,30]>')]).
% 198.51/198.92 cnf('0.10366.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,empty))),X8) = reach(X3,X1,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8)),empty) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.10366.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_10211]).
% 198.51/198.92 cnf('0.25101.0.0',plain,
% 198.51/198.92 ( or(reach(zero,X1,edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2)),edge(s(zero),s(s(zero)),X3)),reach(s(zero),X1,edge(s(zero),s(s(zero)),union(edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2)),X3)),empty)) = if_reach_2(false,zero,X1,union(g,X2),X3) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.264.2.0','0.927.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.25101.0.1',plain,
% 198.51/198.92 ( or(reach(zero,X1,edge(s(s(s(zero))),zero,X2),edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X3))),reach(s(zero),X1,edge(s(zero),s(s(zero)),union(edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2)),X3)),empty)) = if_reach_2(false,zero,X1,union(g,X2),X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.25101.0.0','0.35.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.25101.0.2',plain,
% 198.51/198.92 ( or(reach(zero,X1,X2,edge(s(s(s(zero))),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X3)))),reach(s(zero),X1,edge(s(zero),s(s(zero)),union(edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2)),X3)),empty)) = if_reach_2(false,zero,X1,union(g,X2),X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.25101.0.1','0.35.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.1','L')]).
% 198.51/198.92 cnf('0.25101.0.3',plain,
% 198.51/198.92 ( or(reach(zero,X1,X2,edge(s(s(s(zero))),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X3)))),reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),union(edge(s(s(s(zero))),zero,X2),X3))),empty)) = if_reach_2(false,zero,X1,union(g,X2),X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.25101.0.2','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.2.3.3','L')]).
% 198.51/198.92 cnf('0.25101.0.4',plain,
% 198.51/198.92 ( or(reach(zero,X1,X2,edge(s(s(s(zero))),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X3)))),reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,union(X2,X3)))),empty)) = if_reach_2(false,zero,X1,union(g,X2),X3) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.25101.0.3','0.3.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.2.3.3.3','L')]).
% 198.51/198.92 cnf('0.25101.1.0',plain,
% 198.51/198.92 ( or(reach(zero,X1,X2,edge(s(s(s(zero))),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X3)))),reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,union(X2,X3)))),empty)) = if_reach_2(false,zero,X1,union(g,X2),X3) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.25101.0.4']),
% 198.51/198.92 [weight('<?,927,264,[0,0,0,0]>')]).
% 198.51/198.92 cnf('0.25101.2.0',plain,
% 198.51/198.92 ( or(reach(zero,X1,X2,edge(s(s(s(zero))),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X3)))),reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,union(X2,X3)))),empty)) = if_reach_2(false,zero,X1,union(g,X2),X3) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.25101.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_24844]).
% 198.51/198.92 cnf('0.36873.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,union(g,empty),X2) = or(reach(zero,X1,empty,edge(s(s(s(zero))),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X2)))),reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2))),empty)) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.25101.2.0','0.1.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.2.3.3.3.3','L')]).
% 198.51/198.92 cnf('0.36873.0.1',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,g,X2) = or(reach(zero,X1,empty,edge(s(s(s(zero))),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(zero),s(s(zero)),X2)))),reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2))),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.36873.0.0','0.112.2.0',theory(equality)]),
% 198.51/198.92 [pos('L.4','L')]).
% 198.51/198.92 cnf('0.36873.0.2',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,g,X2) = or(false,reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2))),empty)) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.36873.0.1','0.9.2.0',theory(equality)]),
% 198.51/198.92 [pos('R.1','L')]).
% 198.51/198.92 cnf('0.36873.0.3',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,g,X2) = reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2))),empty) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.36873.0.2','0.2.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.36873.1.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,X1,g,X2) = reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2))),empty) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.36873.0.3']),
% 198.51/198.92 [weight('<890,25101,1,[1,0,0,50]>')]).
% 198.51/198.92 cnf('0.36873.2.0',plain,
% 198.51/198.92 ( reach(s(zero),X1,edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X2))),empty) = if_reach_2(false,zero,X1,g,X2) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.36873.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_36530]).
% 198.51/198.92 cnf('0.36905.0.0',plain,
% 198.51/198.92 ( if_reach_2(false,zero,zero,g,X1) = if_reach_2(false,s(zero),zero,edge(const2,s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X1))),empty) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.36873.2.0','0.66.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.36905.0.1',plain,
% 198.51/198.92 ( reach(zero,zero,g,X1) = if_reach_2(false,s(zero),zero,edge(const2,s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X1))),empty) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.36905.0.0','0.24.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.36905.1.0',plain,
% 198.51/198.92 ( reach(zero,zero,g,X1) = if_reach_2(false,s(zero),zero,edge(const2,s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X1))),empty) ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.36905.0.1']),
% 198.51/198.92 [weight('<863,36873,66,[1,0,0,0]>')]).
% 198.51/198.92 cnf('0.36905.2.0',plain,
% 198.51/198.92 ( if_reach_2(false,s(zero),zero,edge(const2,s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,X1))),empty) = reach(zero,zero,g,X1) ),
% 198.51/198.92 inference(orient,[status(thm)],['0.36905.1.0',theory(equality)]),
% 198.51/198.92 [x,rule_36562]).
% 198.51/198.92 cnf('0.36906.0.0',plain,
% 198.51/198.92 ( reach(zero,zero,g,empty) = reach(s(s(zero)),zero,edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)),empty) ),
% 198.51/198.92 inference(cp,[status(thm)],['0.36905.2.0','0.10366.2.0',theory(equality)]),
% 198.51/198.92 [pos('L','L')]).
% 198.51/198.92 cnf('0.36906.0.1',plain,
% 198.51/198.92 ( reach(zero,zero,g,empty) = if_reach_2(false,s(s(zero)),zero,edge(const2,s(s(s(zero))),edge(s(s(s(zero))),zero,empty)),empty) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.36906.0.0','0.141.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.36906.0.2',plain,
% 198.51/198.92 ( reach(zero,zero,g,empty) = reach(s(s(s(zero))),zero,edge(s(s(s(zero))),zero,empty),empty) ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.36906.0.1','0.1030.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.36906.0.3',plain,
% 198.51/198.92 ( reach(zero,zero,g,empty) = true ),
% 198.51/198.92 inference(reduction,[status(thm)],['0.36906.0.2','0.244.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('0.36906.1.0',plain,
% 198.51/198.92 ( reach(zero,zero,g,empty) = true ),
% 198.51/198.92 inference(weigh,[status(thm)],['0.36906.0.3']),
% 198.51/198.92 [weight('<41,36905,10366,[1,0,0,0]>')]).
% 198.51/198.92 cnf('0.36906.2.0',plain,
% 198.51/198.92 ( reach(zero,zero,g,empty) = true ),
% 198.51/198.92 inference(orient,[status(thm)],['0.36906.1.0',theory(equality)]),
% 198.51/198.92 [u,rule_36563]).
% 198.51/198.92 cnf('1.0.0.0',conjecture,
% 198.51/198.92 ( true = reach(zero,zero,g,empty) ),
% 198.51/198.92 file('/tmp/WALDMEISTER_13749_n003',conjecture_1)).
% 198.51/198.92 cnf('1.0.0.1',plain,
% 198.51/198.92 ( true = true ),
% 198.51/198.92 inference(reduction,[status(thm)],['1.0.0.0','0.36906.2.0',theory(equality)]),
% 198.51/198.92 [pos('R','L')]).
% 198.51/198.92 cnf('1.0.0.2',plain,
% 198.51/198.92 ( $true ),
% 198.51/198.92 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 198.51/198.92 [conjecture_1]).
% 198.51/198.92
% 198.51/198.92 Proved Goals:
% 198.51/198.92 No. 1: true ?= reach(zero,zero,g,empty) joined, current: true = true
% 198.51/198.92 1 goal was specified, which was proved.
% 198.51/198.92 % SZS output end CNFRefutation
% 198.51/198.92 #END OF PROOF
% 198.51/198.92
% 198.51/198.92 Problem WALDMEISTER_13749_n003
% 198.51/198.92 CPs.gen 755357
% 198.51/198.92 CPs.reexp 0
% 198.51/198.92 Select 55377
% 198.51/198.92 R 36563
% 198.51/198.92 E 343
% 198.51/198.92 vsize 45.3M
% 198.51/198.92 rss 43.0M
% 198.51/198.92 process.time 197.985s
% 198.51/198.92 wallclock.time 197.994s
% 198.51/198.92 status S
% 198.51/198.92
% 198.51/198.92
% 198.51/198.92 Waldmeister states: Goal proved.
% 198.51/198.92 % SZS status Unsatisfiable
%------------------------------------------------------------------------------