%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : PUZ164-2 : 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 148.80s 149.20s
% Output : CNFRefutation 148.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ164-2 : 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 05:07:41 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.55/0.99 ********************************************************************************
% 0.55/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.99 * |/ | \/ | *
% 0.55/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.99 * A. Jaeger and B. Loechner | | *
% 0.55/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.99 ********************************************************************************
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Goals:
% 0.55/0.99 ------
% 0.55/0.99
% 0.55/0.99 ( 1) true1 ?= false1
% 0.55/0.99 using narrowing to prove true ?= reach(x1,x1,g,empty)
% 0.55/0.99
% 0.55/0.99 Detected structure: Orkus
% 0.55/0.99 ********************************************************************************
% 0.55/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.99 ********************************************************************************
% 0.55/0.99
% 148.80/149.20 joined goal: 1 true ?= reach(x1,x1,g,empty) to false1
% 148.80/149.20 goal joined
% 148.80/149.20 % SZS status Unsatisfiable
% 148.80/149.20 #START OF PROOF
% 148.80/149.20 % SZS output start CNFRefutation
% 148.80/149.20 cnf('0.1.0.0',axiom,
% 148.80/149.20 ( X1 = union(empty,X1) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.1.1.0',plain,
% 148.80/149.20 ( X1 = union(empty,X1) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.1.0.0']),
% 148.80/149.20 [weight('<0,0,0,[0,0,0,1]>')]).
% 148.80/149.20 cnf('0.1.2.0',plain,
% 148.80/149.20 ( union(empty,X1) = X1 ),
% 148.80/149.20 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_1]).
% 148.80/149.20 cnf('0.2.0.0',axiom,
% 148.80/149.20 ( X1 = or(false,X1) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.2.1.0',plain,
% 148.80/149.20 ( X1 = or(false,X1) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.2.0.0']),
% 148.80/149.20 [weight('<1,0,0,[0,0,0,2]>')]).
% 148.80/149.20 cnf('0.2.2.0',plain,
% 148.80/149.20 ( or(false,X1) = X1 ),
% 148.80/149.20 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_2]).
% 148.80/149.20 cnf('0.3.0.0',axiom,
% 148.80/149.20 ( edge(X1,X2,union(X3,X4)) = union(edge(X1,X2,X3),X4) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.3.1.0',plain,
% 148.80/149.20 ( edge(X1,X2,union(X3,X4)) = union(edge(X1,X2,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.3.0.0']),
% 148.80/149.20 [weight('<2,0,0,[0,0,0,3]>')]).
% 148.80/149.20 cnf('0.3.2.0',plain,
% 148.80/149.20 ( union(edge(X1,X2,X3),X4) = edge(X1,X2,union(X3,X4)) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_3]).
% 148.80/149.20 cnf('0.4.0.0',axiom,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,empty)))) = g ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.4.1.0',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,empty)))) = g ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.4.0.0']),
% 148.80/149.20 [weight('<3,0,0,[0,0,0,4]>')]).
% 148.80/149.20 cnf('0.4.2.0',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,empty)))) = g ),
% 148.80/149.20 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_4]).
% 148.80/149.20 cnf('0.5.0.0',axiom,
% 148.80/149.20 ( eq(X1,X2) = eq(s(X1),s(X2)) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.5.1.0',plain,
% 148.80/149.20 ( eq(X1,X2) = eq(s(X1),s(X2)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.5.0.0']),
% 148.80/149.20 [weight('<4,0,0,[0,0,0,5]>')]).
% 148.80/149.20 cnf('0.5.2.0',plain,
% 148.80/149.20 ( eq(s(X1),s(X2)) = eq(X1,X2) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_5]).
% 148.80/149.20 cnf('0.6.0.0',axiom,
% 148.80/149.20 ( eq(s(X1),0) = false ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.6.1.0',plain,
% 148.80/149.20 ( eq(s(X1),0) = false ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.6.0.0']),
% 148.80/149.20 [weight('<5,0,0,[0,0,0,6]>')]).
% 148.80/149.20 cnf('0.6.2.0',plain,
% 148.80/149.20 ( eq(s(X1),0) = false ),
% 148.80/149.20 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_6]).
% 148.80/149.20 cnf('0.7.0.0',axiom,
% 148.80/149.20 ( eq(0,s(X1)) = false ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.7.1.0',plain,
% 148.80/149.20 ( eq(0,s(X1)) = false ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.7.0.0']),
% 148.80/149.20 [weight('<6,0,0,[0,0,0,7]>')]).
% 148.80/149.20 cnf('0.7.2.0',plain,
% 148.80/149.20 ( eq(0,s(X1)) = false ),
% 148.80/149.20 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_7]).
% 148.80/149.20 cnf('0.8.0.0',axiom,
% 148.80/149.20 ( eq(0,0) = true ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.8.1.0',plain,
% 148.80/149.20 ( eq(0,0) = true ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.8.0.0']),
% 148.80/149.20 [weight('<7,0,0,[0,0,0,8]>')]).
% 148.80/149.20 cnf('0.8.2.0',plain,
% 148.80/149.20 ( eq(0,0) = true ),
% 148.80/149.20 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_8]).
% 148.80/149.20 cnf('0.9.0.0',axiom,
% 148.80/149.20 ( false = reach(X1,X2,empty,X3) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.9.1.0',plain,
% 148.80/149.20 ( false = reach(X1,X2,empty,X3) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.9.0.0']),
% 148.80/149.20 [weight('<8,0,0,[0,0,0,9]>')]).
% 148.80/149.20 cnf('0.9.2.0',plain,
% 148.80/149.20 ( reach(X1,X2,empty,X3) = false ),
% 148.80/149.20 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_9]).
% 148.80/149.20 cnf('0.11.0.0',axiom,
% 148.80/149.20 ( true = if_reach_2(true,X1,X2,edge(X3,X4,X5),X6) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.11.1.0',plain,
% 148.80/149.20 ( true = if_reach_2(true,X1,X2,edge(X3,X4,X5),X6) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.11.0.0']),
% 148.80/149.20 [weight('<10,0,0,[0,0,0,11]>')]).
% 148.80/149.20 cnf('0.11.2.0',plain,
% 148.80/149.20 ( if_reach_2(true,X1,X2,edge(X3,X4,X5),X6) = true ),
% 148.80/149.20 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_11]).
% 148.80/149.20 cnf('0.12.0.0',axiom,
% 148.80/149.20 ( reach(X1,X2,X3,edge(X4,X5,X6)) = if_reach_1(false,X1,X2,edge(X4,X5,X3),X6) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.12.1.0',plain,
% 148.80/149.20 ( reach(X1,X2,X3,edge(X4,X5,X6)) = if_reach_1(false,X1,X2,edge(X4,X5,X3),X6) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.12.0.0']),
% 148.80/149.20 [weight('<11,0,0,[0,0,0,12]>')]).
% 148.80/149.20 cnf('0.12.2.0',plain,
% 148.80/149.20 ( if_reach_1(false,X1,X2,edge(X3,X4,X5),X6) = reach(X1,X2,X5,edge(X3,X4,X6)) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_12]).
% 148.80/149.20 cnf('0.13.0.0',axiom,
% 148.80/149.20 ( reach(X1,X2,edge(X3,X4,X5),X6) = if_reach_1(eq(X1,X3),X1,X2,edge(X3,X4,X5),X6) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.13.1.0',plain,
% 148.80/149.20 ( reach(X1,X2,edge(X3,X4,X5),X6) = if_reach_1(eq(X1,X3),X1,X2,edge(X3,X4,X5),X6) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.13.0.0']),
% 148.80/149.20 [weight('<12,0,0,[0,0,0,13]>')]).
% 148.80/149.20 cnf('0.13.2.0',plain,
% 148.80/149.20 ( if_reach_1(eq(X1,X2),X1,X3,edge(X2,X4,X5),X6) = reach(X1,X3,edge(X2,X4,X5),X6) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_13]).
% 148.80/149.20 cnf('0.14.0.0',axiom,
% 148.80/149.20 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.14.1.0',plain,
% 148.80/149.20 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.14.0.0']),
% 148.80/149.20 [weight('<13,0,0,[0,0,0,14]>')]).
% 148.80/149.20 cnf('0.14.2.0',plain,
% 148.80/149.20 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(X6,X5,X3),X4) ),
% 148.80/149.20 inference(activate,[status(thm)],['0.14.1.0']),
% 148.80/149.20 [equation_1]).
% 148.80/149.20 cnf('0.14.2.1',plain,
% 148.80/149.20 ( or(reach(X1,X2,X3,X4),reach(X5,X2,union(X3,X4),empty)) = if_reach_2(false,X1,X2,edge(false1,X5,X3),X4) ),
% 148.80/149.20 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.15.0.0',axiom,
% 148.80/149.20 ( if_reach_1(true,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(eq(X2,X4),X1,X2,edge(X3,X4,X5),X6) ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.15.1.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(eq(X2,X4),X1,X2,edge(X3,X4,X5),X6) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.15.0.0']),
% 148.80/149.20 [weight('<14,0,0,[0,0,0,15]>')]).
% 148.80/149.20 cnf('0.15.2.0',plain,
% 148.80/149.20 ( if_reach_2(eq(X1,X2),X3,X1,edge(X4,X2,X5),X6) = if_reach_1(true,X3,X1,edge(X4,X2,X5),X6) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_14]).
% 148.80/149.20 cnf('0.16.0.0',axiom,
% 148.80/149.20 ( eq1(X1,X1) = true1 ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.16.1.0',plain,
% 148.80/149.20 ( eq1(X1,X1) = true1 ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.16.0.0']),
% 148.80/149.20 [weight('<15,0,0,[0,0,0,16]>')]).
% 148.80/149.20 cnf('0.16.2.0',plain,
% 148.80/149.20 ( eq1(X1,X1) = true1 ),
% 148.80/149.20 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_15]).
% 148.80/149.20 cnf('0.17.0.0',axiom,
% 148.80/149.20 ( eq1(true,reach(X1,X1,g,empty)) = false1 ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003')).
% 148.80/149.20 cnf('0.17.1.0',plain,
% 148.80/149.20 ( eq1(true,reach(X1,X1,g,empty)) = false1 ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.17.0.0']),
% 148.80/149.20 [weight('<16,0,0,[0,0,0,17]>')]).
% 148.80/149.20 cnf('0.17.2.0',plain,
% 148.80/149.20 ( eq1(true,reach(X1,X1,g,empty)) = false1 ),
% 148.80/149.20 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_16]).
% 148.80/149.20 cnf('0.33.0.0',plain,
% 148.80/149.20 ( reach(0,X1,edge(0,X2,X3),X4) = if_reach_1(true,0,X1,edge(0,X2,X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.13.2.0','0.8.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.33.1.0',plain,
% 148.80/149.20 ( reach(0,X1,edge(0,X2,X3),X4) = if_reach_1(true,0,X1,edge(0,X2,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.33.0.0']),
% 148.80/149.20 [weight('<179,13,8,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.33.2.0',plain,
% 148.80/149.20 ( if_reach_1(true,0,X1,edge(0,X2,X3),X4) = reach(0,X1,edge(0,X2,X3),X4) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_32]).
% 148.80/149.20 cnf('0.36.0.0',plain,
% 148.80/149.20 ( reach(s(X1),X2,edge(0,X3,X4),X5) = if_reach_1(false,s(X1),X2,edge(0,X3,X4),X5) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.13.2.0','0.6.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.36.0.1',plain,
% 148.80/149.20 ( reach(s(X1),X2,edge(0,X3,X4),X5) = reach(s(X1),X2,X4,edge(0,X3,X5)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.36.0.0','0.12.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.36.1.0',plain,
% 148.80/149.20 ( reach(s(X1),X2,edge(0,X3,X4),X5) = reach(s(X1),X2,X4,edge(0,X3,X5)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.36.0.1']),
% 148.80/149.20 [weight('<189,13,6,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.36.2.0',plain,
% 148.80/149.20 ( reach(s(X1),X2,edge(0,X3,X4),X5) = reach(s(X1),X2,X4,edge(0,X3,X5)) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_35]).
% 148.80/149.20 cnf('0.38.0.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(X2),edge(X3,0,X4),X5) = if_reach_2(false,X1,s(X2),edge(X3,0,X4),X5) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.15.2.0','0.6.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.38.1.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(X2),edge(X3,0,X4),X5) = if_reach_2(false,X1,s(X2),edge(X3,0,X4),X5) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.38.0.0']),
% 148.80/149.20 [weight('<230,15,6,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.38.2.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(X2),edge(X3,0,X4),X5) = if_reach_2(false,X1,s(X2),edge(X3,0,X4),X5) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_37]).
% 148.80/149.20 cnf('0.52.0.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.13.2.0','0.5.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.52.1.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.52.0.0']),
% 148.80/149.20 [weight('<335,13,5,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.52.2.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_51]).
% 148.80/149.20 cnf('0.53.0.0',plain,
% 148.80/149.20 ( reach(s(0),X1,edge(s(0),X2,X3),X4) = if_reach_1(true,s(0),X1,edge(s(0),X2,X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.52.2.0','0.8.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.53.1.0',plain,
% 148.80/149.20 ( reach(s(0),X1,edge(s(0),X2,X3),X4) = if_reach_1(true,s(0),X1,edge(s(0),X2,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.53.0.0']),
% 148.80/149.20 [weight('<263,52,8,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.53.2.0',plain,
% 148.80/149.20 ( if_reach_1(true,s(0),X1,edge(s(0),X2,X3),X4) = reach(s(0),X1,edge(s(0),X2,X3),X4) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_52]).
% 148.80/149.20 cnf('0.57.0.0',plain,
% 148.80/149.20 ( reach(s(0),X1,edge(s(s(X2)),X3,X4),X5) = if_reach_1(false,s(0),X1,edge(s(s(X2)),X3,X4),X5) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.52.2.0','0.7.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.57.0.1',plain,
% 148.80/149.20 ( reach(s(0),X1,edge(s(s(X2)),X3,X4),X5) = reach(s(0),X1,X4,edge(s(s(X2)),X3,X5)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.57.0.0','0.12.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.57.1.0',plain,
% 148.80/149.20 ( reach(s(0),X1,edge(s(s(X2)),X3,X4),X5) = reach(s(0),X1,X4,edge(s(s(X2)),X3,X5)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.57.0.1']),
% 148.80/149.20 [weight('<275,52,7,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.57.2.0',plain,
% 148.80/149.20 ( reach(s(0),X1,edge(s(s(X2)),X3,X4),X5) = reach(s(0),X1,X4,edge(s(s(X2)),X3,X5)) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_56]).
% 148.80/149.20 cnf('0.68.0.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(X2),edge(X3,s(X4),X5),X6) = if_reach_2(eq(X2,X4),X1,s(X2),edge(X3,s(X4),X5),X6) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.15.2.0','0.5.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.68.1.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(X2),edge(X3,s(X4),X5),X6) = if_reach_2(eq(X2,X4),X1,s(X2),edge(X3,s(X4),X5),X6) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.68.0.0']),
% 148.80/149.20 [weight('<349,15,5,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.68.2.0',plain,
% 148.80/149.20 ( if_reach_2(eq(X1,X2),X3,s(X1),edge(X4,s(X2),X5),X6) = if_reach_1(true,X3,s(X1),edge(X4,s(X2),X5),X6) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_66]).
% 148.80/149.20 cnf('0.69.0.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(0),edge(X2,s(0),X3),X4) = if_reach_2(true,X1,s(0),edge(X2,s(0),X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.68.2.0','0.8.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.69.0.1',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(0),edge(X2,s(0),X3),X4) = true ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.69.0.0','0.11.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.69.1.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(0),edge(X2,s(0),X3),X4) = true ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.69.0.1']),
% 148.80/149.20 [weight('<155,68,8,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.69.2.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(0),edge(X2,s(0),X3),X4) = true ),
% 148.80/149.20 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_67]).
% 148.80/149.20 cnf('0.70.0.0',plain,
% 148.80/149.20 ( true = reach(0,s(0),edge(0,s(0),X1),X2) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.69.2.0','0.33.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.70.1.0',plain,
% 148.80/149.20 ( true = reach(0,s(0),edge(0,s(0),X1),X2) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.70.0.0']),
% 148.80/149.20 [weight('<131,69,33,[1,0,0,0]>')]).
% 148.80/149.20 cnf('0.70.2.0',plain,
% 148.80/149.20 ( reach(0,s(0),edge(0,s(0),X1),X2) = true ),
% 148.80/149.20 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_68]).
% 148.80/149.20 cnf('0.79.0.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(0),edge(X2,s(s(X3)),X4),X5) = if_reach_2(false,X1,s(0),edge(X2,s(s(X3)),X4),X5) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.68.2.0','0.7.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.79.1.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(0),edge(X2,s(s(X3)),X4),X5) = if_reach_2(false,X1,s(0),edge(X2,s(s(X3)),X4),X5) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.79.0.0']),
% 148.80/149.20 [weight('<324,68,7,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.79.2.0',plain,
% 148.80/149.20 ( if_reach_1(true,X1,s(0),edge(X2,s(s(X3)),X4),X5) = if_reach_2(false,X1,s(0),edge(X2,s(s(X3)),X4),X5) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_77]).
% 148.80/149.20 cnf('0.92.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X7,X4,X5),X6) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.14.2.0','0.14.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.92.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X7,X4,X5),X6) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.92.0.0']),
% 148.80/149.20 [weight('<360,14,14,[1,0,0,0]>')]).
% 148.80/149.20 cnf('0.92.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X7,X4,X5),X6) ),
% 148.80/149.20 inference(activate,[status(thm)],['0.92.1.0']),
% 148.80/149.20 [equation_3]).
% 148.80/149.20 cnf('0.92.2.1',plain,
% 148.80/149.20 ( if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) = if_reach_2(false,X1,X2,edge(false1,X4,X5),X6) ),
% 148.80/149.20 inference(instr,[status(thm)],['0.92.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.92.2.2',plain,
% 148.80/149.20 ( if_reach_2(false,X1,X2,edge(false1,X4,X5),X6) = if_reach_2(false,X1,X2,edge(X3,X4,X5),X6) ),
% 148.80/149.20 inference(instl,[status(thm)],['0.92.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.101.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),s(0),edge(s(0),s(s(X1)),X2),X3) = reach(s(0),s(0),edge(s(0),s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.79.2.0','0.53.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.101.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),s(0),edge(s(0),s(s(X1)),X2),X3) = reach(s(0),s(0),edge(s(0),s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.101.0.0']),
% 148.80/149.20 [weight('<419,79,53,[1,0,0,0]>')]).
% 148.80/149.20 cnf('0.101.1.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),s(0),edge(false1,s(s(X1)),X2),X3) = reach(s(0),s(0),edge(s(0),s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.101.1.0','0.92.2.1',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.101.2.0',plain,
% 148.80/149.20 ( reach(s(0),s(0),edge(s(0),s(s(X1)),X2),X3) = if_reach_2(false,s(0),s(0),edge(false1,s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.101.1.1',theory(equality)]),
% 148.80/149.20 [x,rule_98]).
% 148.80/149.20 cnf('0.106.0.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.52.2.0','0.5.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.106.1.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.106.0.0']),
% 148.80/149.20 [weight('<447,52,5,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.106.2.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_103]).
% 148.80/149.20 cnf('0.107.0.0',plain,
% 148.80/149.20 ( reach(s(s(0)),X1,edge(s(s(0)),X2,X3),X4) = if_reach_1(true,s(s(0)),X1,edge(s(s(0)),X2,X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.106.2.0','0.8.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.107.1.0',plain,
% 148.80/149.20 ( reach(s(s(0)),X1,edge(s(s(0)),X2,X3),X4) = if_reach_1(true,s(s(0)),X1,edge(s(s(0)),X2,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.107.0.0']),
% 148.80/149.20 [weight('<363,106,8,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.107.2.0',plain,
% 148.80/149.20 ( if_reach_1(true,s(s(0)),X1,edge(s(s(0)),X2,X3),X4) = reach(s(s(0)),X1,edge(s(s(0)),X2,X3),X4) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_104]).
% 148.80/149.20 cnf('0.112.0.0',plain,
% 148.80/149.20 ( edge(0,s(0),union(edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,empty))),X1)) = union(g,X1) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.112.0.1',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),union(edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,empty)),X1))) = union(g,X1) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.112.0.0','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.3','L')]).
% 148.80/149.20 cnf('0.112.0.2',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),union(edge(s(s(s(0))),0,empty),X1)))) = union(g,X1) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.112.0.1','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.3.3','L')]).
% 148.80/149.20 cnf('0.112.0.3',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,union(empty,X1))))) = union(g,X1) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.112.0.2','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.3.3.3','L')]).
% 148.80/149.20 cnf('0.112.0.4',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X1)))) = union(g,X1) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.112.0.3','0.1.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.3.3.3.3','L')]).
% 148.80/149.20 cnf('0.112.1.0',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X1)))) = union(g,X1) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.112.0.4']),
% 148.80/149.20 [weight('<?,4,3,[0,0,0,1]>')]).
% 148.80/149.20 cnf('0.112.2.0',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X1)))) = union(g,X1) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_109]).
% 148.80/149.20 cnf('0.113.0.0',plain,
% 148.80/149.20 ( edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,empty)))) = g ),
% 148.80/149.20 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 148.80/149.20 cnf('0.113.0.1',plain,
% 148.80/149.20 ( union(g,empty) = g ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.113.0.0','0.112.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.113.1.0',plain,
% 148.80/149.20 ( union(g,empty) = g ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.113.0.1']),
% 148.80/149.20 [weight('<19,4,112,[0,0,0,0]>')]).
% 148.80/149.20 cnf('0.113.2.0',plain,
% 148.80/149.20 ( union(g,empty) = g ),
% 148.80/149.20 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_110]).
% 148.80/149.20 cnf('0.123.0.0',plain,
% 148.80/149.20 ( reach(X1,X2,edge(0,s(0),edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X3)))),X4) = if_reach_1(eq(X1,0),X1,X2,union(g,X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.13.2.0','0.112.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.4','L')]).
% 148.80/149.20 cnf('0.123.0.1',plain,
% 148.80/149.20 ( reach(X1,X2,union(g,X3),X4) = if_reach_1(eq(X1,0),X1,X2,union(g,X3),X4) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.123.0.0','0.112.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.3','L')]).
% 148.80/149.20 cnf('0.123.1.0',plain,
% 148.80/149.20 ( reach(X1,X2,union(g,X3),X4) = if_reach_1(eq(X1,0),X1,X2,union(g,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.123.0.1']),
% 148.80/149.20 [weight('<197,112,13,[0,0,0,6]>')]).
% 148.80/149.20 cnf('0.123.2.0',plain,
% 148.80/149.20 ( if_reach_1(eq(X1,0),X1,X2,union(g,X3),X4) = reach(X1,X2,union(g,X3),X4) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_120]).
% 148.80/149.20 cnf('0.124.0.0',plain,
% 148.80/149.20 ( reach(s(X1),X2,union(g,X3),X4) = if_reach_1(false,s(X1),X2,union(g,X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.123.2.0','0.6.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.124.1.0',plain,
% 148.80/149.20 ( reach(s(X1),X2,union(g,X3),X4) = if_reach_1(false,s(X1),X2,union(g,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.124.0.0']),
% 148.80/149.20 [weight('<179,123,6,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.124.2.0',plain,
% 148.80/149.20 ( if_reach_1(false,s(X1),X2,union(g,X3),X4) = reach(s(X1),X2,union(g,X3),X4) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_121]).
% 148.80/149.20 cnf('0.136.0.0',plain,
% 148.80/149.20 ( reach(s(s(0)),X1,edge(s(s(s(X2))),X3,X4),X5) = if_reach_1(false,s(s(0)),X1,edge(s(s(s(X2))),X3,X4),X5) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.106.2.0','0.7.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.136.0.1',plain,
% 148.80/149.20 ( reach(s(s(0)),X1,edge(s(s(s(X2))),X3,X4),X5) = reach(s(s(0)),X1,X4,edge(s(s(s(X2))),X3,X5)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.136.0.0','0.12.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.136.1.0',plain,
% 148.80/149.20 ( reach(s(s(0)),X1,edge(s(s(s(X2))),X3,X4),X5) = reach(s(s(0)),X1,X4,edge(s(s(s(X2))),X3,X5)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.136.0.1']),
% 148.80/149.20 [weight('<377,106,7,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.136.2.0',plain,
% 148.80/149.20 ( reach(s(s(0)),X1,edge(s(s(s(X2))),X3,X4),X5) = reach(s(s(0)),X1,X4,edge(s(s(s(X2))),X3,X5)) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_133]).
% 148.80/149.20 cnf('0.210.0.0',plain,
% 148.80/149.20 ( reach(s(s(0)),s(0),edge(s(s(0)),s(s(X1)),X2),X3) = if_reach_2(false,s(s(0)),s(0),edge(s(s(0)),s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.107.2.0','0.79.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.210.1.0',plain,
% 148.80/149.20 ( reach(s(s(0)),s(0),edge(s(s(0)),s(s(X1)),X2),X3) = if_reach_2(false,s(s(0)),s(0),edge(s(s(0)),s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.210.0.0']),
% 148.80/149.20 [weight('<543,107,79,[1,0,0,0]>')]).
% 148.80/149.20 cnf('0.210.1.1',plain,
% 148.80/149.20 ( reach(s(s(0)),s(0),edge(s(s(0)),s(s(X1)),X2),X3) = if_reach_2(false,s(s(0)),s(0),edge(false1,s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.210.1.0','0.92.2.1',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.210.2.0',plain,
% 148.80/149.20 ( reach(s(s(0)),s(0),edge(s(s(0)),s(s(X1)),X2),X3) = if_reach_2(false,s(s(0)),s(0),edge(false1,s(s(X1)),X2),X3) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.210.1.1',theory(equality)]),
% 148.80/149.20 [u,rule_205]).
% 148.80/149.20 cnf('0.214.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,X6)),X7) = or(reach(s(X1),X2,X6,edge(0,X5,X7)),reach(X4,X2,union(edge(0,X5,X6),X7),empty)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.14.2.0','0.36.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.214.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,X6)),X7) = or(reach(s(X1),X2,X6,edge(0,X5,X7)),reach(X4,X2,edge(0,X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.214.0.0','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3','L')]).
% 148.80/149.20 cnf('0.214.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,X6)),X7) = or(reach(s(X1),X2,X6,edge(0,X5,X7)),reach(X4,X2,edge(0,X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.214.0.1']),
% 148.80/149.20 [weight('<?,36,14,[0,0,0,1]>')]).
% 148.80/149.20 cnf('0.214.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,X6)),X7) = or(reach(s(X1),X2,X6,edge(0,X5,X7)),reach(X4,X2,edge(0,X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(activate,[status(thm)],['0.214.1.0']),
% 148.80/149.20 [equation_6]).
% 148.80/149.20 cnf('0.214.2.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(false1,X6,edge(0,X4,X3)),X5) = or(reach(s(X1),X2,X3,edge(0,X4,X5)),reach(X6,X2,edge(0,X4,union(X3,X5)),empty)) ),
% 148.80/149.20 inference(instl,[status(thm)],['0.214.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.215.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,empty)),X6) = or(reach(s(X1),X2,empty,edge(0,X5,X6)),reach(X4,X2,edge(0,X5,X6),empty)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.214.2.0','0.1.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3.3','L')]).
% 148.80/149.20 cnf('0.215.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,empty)),X6) = or(false,reach(X4,X2,edge(0,X5,X6),empty)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.215.0.0','0.9.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.1','L')]).
% 148.80/149.20 cnf('0.215.0.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,empty)),X6) = reach(X4,X2,edge(0,X5,X6),empty) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.215.0.1','0.2.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.215.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,empty)),X6) = reach(X4,X2,edge(0,X5,X6),empty) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.215.0.2']),
% 148.80/149.20 [weight('<307,214,1,[1,1,0,16]>')]).
% 148.80/149.20 cnf('0.215.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(X1),X2,edge(X3,X4,edge(0,X5,empty)),X6) = reach(X4,X2,edge(0,X5,X6),empty) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.215.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_209]).
% 148.80/149.20 cnf('0.243.0.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.106.2.0','0.5.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.243.1.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.243.0.0']),
% 148.80/149.20 [weight('<575,106,5,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.243.2.0',plain,
% 148.80/149.20 ( 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) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.243.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_237]).
% 148.80/149.20 cnf('0.244.0.0',plain,
% 148.80/149.20 ( reach(s(s(s(0))),X1,edge(s(s(s(0))),X2,X3),X4) = if_reach_1(true,s(s(s(0))),X1,edge(s(s(s(0))),X2,X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.243.2.0','0.8.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.244.1.0',plain,
% 148.80/149.20 ( reach(s(s(s(0))),X1,edge(s(s(s(0))),X2,X3),X4) = if_reach_1(true,s(s(s(0))),X1,edge(s(s(s(0))),X2,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.244.0.0']),
% 148.80/149.20 [weight('<479,243,8,[1,0,0,1]>')]).
% 148.80/149.20 cnf('0.244.2.0',plain,
% 148.80/149.20 ( if_reach_1(true,s(s(s(0))),X1,edge(s(s(s(0))),X2,X3),X4) = reach(s(s(s(0))),X1,edge(s(s(s(0))),X2,X3),X4) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.244.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_238]).
% 148.80/149.20 cnf('0.253.0.0',plain,
% 148.80/149.20 ( reach(s(s(s(0))),s(X1),edge(s(s(s(0))),0,X2),X3) = if_reach_2(false,s(s(s(0))),s(X1),edge(s(s(s(0))),0,X2),X3) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.244.2.0','0.38.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.253.1.0',plain,
% 148.80/149.20 ( reach(s(s(s(0))),s(X1),edge(s(s(s(0))),0,X2),X3) = if_reach_2(false,s(s(s(0))),s(X1),edge(s(s(s(0))),0,X2),X3) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.253.0.0']),
% 148.80/149.20 [weight('<543,244,38,[1,0,0,0]>')]).
% 148.80/149.20 cnf('0.253.1.1',plain,
% 148.80/149.20 ( reach(s(s(s(0))),s(X1),edge(s(s(s(0))),0,X2),X3) = if_reach_2(false,s(s(s(0))),s(X1),edge(false1,0,X2),X3) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.253.1.0','0.92.2.1',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.253.2.0',plain,
% 148.80/149.20 ( reach(s(s(s(0))),s(X1),edge(s(s(s(0))),0,X2),X3) = if_reach_2(false,s(s(s(0))),s(X1),edge(false1,0,X2),X3) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.253.1.1',theory(equality)]),
% 148.80/149.20 [u,rule_247]).
% 148.80/149.20 cnf('0.469.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(0),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,union(edge(s(s(X4)),X5,X6),X7),empty)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.14.2.0','0.57.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.469.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(0),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,edge(s(s(X4)),X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.469.0.0','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3','L')]).
% 148.80/149.20 cnf('0.469.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(0),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,edge(s(s(X4)),X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.469.0.1']),
% 148.80/149.20 [weight('<?,57,14,[0,0,0,1]>')]).
% 148.80/149.20 cnf('0.469.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,X6)),X7) = or(reach(s(0),X1,X6,edge(s(s(X4)),X5,X7)),reach(X3,X1,edge(s(s(X4)),X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(activate,[status(thm)],['0.469.1.0']),
% 148.80/149.20 [equation_11]).
% 148.80/149.20 cnf('0.469.2.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(false1,X6,edge(s(s(X3)),X4,X2)),X5) = or(reach(s(0),X1,X2,edge(s(s(X3)),X4,X5)),reach(X6,X1,edge(s(s(X3)),X4,union(X2,X5)),empty)) ),
% 148.80/149.20 inference(instl,[status(thm)],['0.469.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.877.0.0',plain,
% 148.80/149.20 ( reach(X1,X2,edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X3))),edge(0,s(0),X4)) = if_reach_1(false,X1,X2,union(g,X3),X4) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.12.2.0','0.112.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.4','L')]).
% 148.80/149.20 cnf('0.877.1.0',plain,
% 148.80/149.20 ( reach(X1,X2,edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X3))),edge(0,s(0),X4)) = if_reach_1(false,X1,X2,union(g,X3),X4) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.877.0.0']),
% 148.80/149.20 [weight('<?,112,12,[0,0,0,4]>')]).
% 148.80/149.20 cnf('0.877.2.0',plain,
% 148.80/149.20 ( reach(X1,X2,edge(s(0),s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X3))),edge(0,s(0),X4)) = if_reach_1(false,X1,X2,union(g,X3),X4) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.877.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_859]).
% 148.80/149.20 cnf('0.1030.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(0)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,union(edge(s(s(s(X4))),X5,X6),X7),empty)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.14.2.0','0.136.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.1','L')]).
% 148.80/149.20 cnf('0.1030.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(0)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,edge(s(s(s(X4))),X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.1030.0.0','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3','L')]).
% 148.80/149.20 cnf('0.1030.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(0)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,edge(s(s(s(X4))),X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.1030.0.1']),
% 148.80/149.20 [weight('<?,136,14,[0,0,0,1]>')]).
% 148.80/149.20 cnf('0.1030.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,X6)),X7) = or(reach(s(s(0)),X1,X6,edge(s(s(s(X4))),X5,X7)),reach(X3,X1,edge(s(s(s(X4))),X5,union(X6,X7)),empty)) ),
% 148.80/149.20 inference(activate,[status(thm)],['0.1030.1.0']),
% 148.80/149.20 [equation_20]).
% 148.80/149.20 cnf('0.1030.2.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(false1,X6,edge(s(s(s(X3))),X4,X2)),X5) = or(reach(s(s(0)),X1,X2,edge(s(s(s(X3))),X4,X5)),reach(X6,X1,edge(s(s(s(X3))),X4,union(X2,X5)),empty)) ),
% 148.80/149.20 inference(instl,[status(thm)],['0.1030.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.10363.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(0),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)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.469.2.0','0.57.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.1','L')]).
% 148.80/149.20 cnf('0.10363.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(0),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)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.10363.0.0','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3.3','L')]).
% 148.80/149.20 cnf('0.10363.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(0),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)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.10363.0.1']),
% 148.80/149.20 [weight('<?,469,57,[1,1,0,1]>')]).
% 148.80/149.20 cnf('0.10363.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,X8))),X9) = or(reach(s(0),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)) ),
% 148.80/149.20 inference(activate,[status(thm)],['0.10363.1.0']),
% 148.80/149.20 [equation_155]).
% 148.80/149.20 cnf('0.10363.2.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(false1,X8,edge(s(s(X5)),X6,edge(s(s(X3)),X4,X2))),X7) = or(reach(s(0),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)) ),
% 148.80/149.20 inference(instl,[status(thm)],['0.10363.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.10367.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),X1,edge(X2,X3,edge(s(s(X4)),X5,edge(s(s(X6)),X7,empty))),X8) = or(reach(s(0),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)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.10363.2.0','0.1.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3.3.3','L')]).
% 148.80/149.20 cnf('0.10367.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),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)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.10367.0.0','0.9.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.1','L')]).
% 148.80/149.20 cnf('0.10367.0.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),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) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.10367.0.1','0.2.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.10367.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),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) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.10367.0.2']),
% 148.80/149.20 [weight('<755,10363,1,[1,1,0,30]>')]).
% 148.80/149.20 cnf('0.10367.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),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) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.10367.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_10212]).
% 148.80/149.20 cnf('0.24898.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),s(0),edge(false1,s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X1))),edge(0,s(0),X2)) = if_reach_1(false,s(0),s(0),union(g,X1),X2) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.101.2.0','0.877.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.24898.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),s(0),edge(false1,s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X1))),edge(0,s(0),X2)) = reach(s(0),s(0),union(g,X1),X2) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.24898.0.0','0.124.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.24898.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),s(0),edge(false1,s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X1))),edge(0,s(0),X2)) = reach(s(0),s(0),union(g,X1),X2) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.24898.0.1']),
% 148.80/149.20 [weight('<?,877,101,[0,0,0,0]>')]).
% 148.80/149.20 cnf('0.24898.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(0),s(0),edge(false1,s(s(0)),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,X1))),edge(0,s(0),X2)) = reach(s(0),s(0),union(g,X1),X2) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.24898.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_24641]).
% 148.80/149.20 cnf('0.28468.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,X7))),X8) = or(reach(s(s(0)),X1,X7,edge(0,X6,edge(s(s(s(X4))),X5,X8))),reach(X3,X1,edge(s(s(s(X4))),X5,union(edge(0,X6,X7),X8)),empty)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.1030.2.0','0.36.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.1','L')]).
% 148.80/149.20 cnf('0.28468.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,X7))),X8) = or(reach(s(s(0)),X1,X7,edge(0,X6,edge(s(s(s(X4))),X5,X8))),reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,union(X7,X8))),empty)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.28468.0.0','0.3.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3.3','L')]).
% 148.80/149.20 cnf('0.28468.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,X7))),X8) = or(reach(s(s(0)),X1,X7,edge(0,X6,edge(s(s(s(X4))),X5,X8))),reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,union(X7,X8))),empty)) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.28468.0.1']),
% 148.80/149.20 [weight('<?,1030,36,[1,1,0,1]>')]).
% 148.80/149.20 cnf('0.28468.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,X7))),X8) = or(reach(s(s(0)),X1,X7,edge(0,X6,edge(s(s(s(X4))),X5,X8))),reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,union(X7,X8))),empty)) ),
% 148.80/149.20 inference(activate,[status(thm)],['0.28468.1.0']),
% 148.80/149.20 [equation_266]).
% 148.80/149.20 cnf('0.28468.2.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(false1,X7,edge(s(s(s(X4))),X5,edge(0,X3,X2))),X6) = or(reach(s(s(0)),X1,X2,edge(0,X3,edge(s(s(s(X4))),X5,X6))),reach(X7,X1,edge(s(s(s(X4))),X5,edge(0,X3,union(X2,X6))),empty)) ),
% 148.80/149.20 inference(instl,[status(thm)],['0.28468.2.0',theory(equality)])).
% 148.80/149.20 cnf('0.28472.0.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,empty))),X7) = or(reach(s(s(0)),X1,empty,edge(0,X6,edge(s(s(s(X4))),X5,X7))),reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,X7)),empty)) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.28468.2.0','0.1.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.2.3.3.3','L')]).
% 148.80/149.20 cnf('0.28472.0.1',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,empty))),X7) = or(false,reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,X7)),empty)) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.28472.0.0','0.9.2.0',theory(equality)]),
% 148.80/149.20 [pos('R.1','L')]).
% 148.80/149.20 cnf('0.28472.0.2',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,empty))),X7) = reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,X7)),empty) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.28472.0.1','0.2.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.28472.1.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,empty))),X7) = reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,X7)),empty) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.28472.0.2']),
% 148.80/149.20 [weight('<734,28468,1,[1,1,0,29]>')]).
% 148.80/149.20 cnf('0.28472.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),X1,edge(X2,X3,edge(s(s(s(X4))),X5,edge(0,X6,empty))),X7) = reach(X3,X1,edge(s(s(s(X4))),X5,edge(0,X6,X7)),empty) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.28472.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_28206]).
% 148.80/149.20 cnf('0.29514.0.0',plain,
% 148.80/149.20 ( reach(s(0),s(0),union(g,empty),X1) = reach(s(s(0)),s(0),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,edge(0,s(0),X1))),empty) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.24898.2.0','0.10367.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.29514.0.1',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,X1) = reach(s(s(0)),s(0),edge(s(s(0)),s(s(s(0))),edge(s(s(s(0))),0,edge(0,s(0),X1))),empty) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.29514.0.0','0.113.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.3','L')]).
% 148.80/149.20 cnf('0.29514.0.2',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,X1) = if_reach_2(false,s(s(0)),s(0),edge(false1,s(s(s(0))),edge(s(s(s(0))),0,edge(0,s(0),X1))),empty) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.29514.0.1','0.210.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.29514.1.0',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,X1) = if_reach_2(false,s(s(0)),s(0),edge(false1,s(s(s(0))),edge(s(s(s(0))),0,edge(0,s(0),X1))),empty) ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.29514.0.2']),
% 148.80/149.20 [weight('<857,24898,10367,[1,0,0,0]>')]).
% 148.80/149.20 cnf('0.29514.2.0',plain,
% 148.80/149.20 ( if_reach_2(false,s(s(0)),s(0),edge(false1,s(s(s(0))),edge(s(s(s(0))),0,edge(0,s(0),X1))),empty) = reach(s(0),s(0),g,X1) ),
% 148.80/149.20 inference(orient,[status(thm)],['0.29514.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_29233]).
% 148.80/149.20 cnf('0.29515.0.0',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,empty) = reach(s(s(s(0))),s(0),edge(s(s(s(0))),0,edge(0,s(0),empty)),empty) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.29514.2.0','0.28472.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('0.29515.0.1',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,empty) = if_reach_2(false,s(s(s(0))),s(0),edge(false1,0,edge(0,s(0),empty)),empty) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.29515.0.0','0.253.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.29515.0.2',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,empty) = reach(0,s(0),edge(0,s(0),empty),empty) ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.29515.0.1','0.215.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.29515.0.3',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,empty) = true ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.29515.0.2','0.70.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.29515.1.0',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,empty) = true ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.29515.0.3']),
% 148.80/149.20 [weight('<71,29514,28472,[1,0,0,0]>')]).
% 148.80/149.20 cnf('0.29515.2.0',plain,
% 148.80/149.20 ( reach(s(0),s(0),g,empty) = true ),
% 148.80/149.20 inference(orient,[status(thm)],['0.29515.1.0',theory(equality)]),
% 148.80/149.20 [u,rule_29234]).
% 148.80/149.20 cnf('0.29516.0.0',plain,
% 148.80/149.20 ( false1 = eq1(true,true) ),
% 148.80/149.20 inference(cp,[status(thm)],['0.17.2.0','0.29515.2.0',theory(equality)]),
% 148.80/149.20 [pos('L.2','L')]).
% 148.80/149.20 cnf('0.29516.0.1',plain,
% 148.80/149.20 ( false1 = true1 ),
% 148.80/149.20 inference(reduction,[status(thm)],['0.29516.0.0','0.16.2.0',theory(equality)]),
% 148.80/149.20 [pos('R','L')]).
% 148.80/149.20 cnf('0.29516.1.0',plain,
% 148.80/149.20 ( false1 = true1 ),
% 148.80/149.20 inference(weigh,[status(thm)],['0.29516.0.1']),
% 148.80/149.20 [weight('<5,29515,17,[0,0,0,2]>')]).
% 148.80/149.20 cnf('0.29516.2.0',plain,
% 148.80/149.20 ( true1 = false1 ),
% 148.80/149.20 inference(orient,[status(thm)],['0.29516.1.0',theory(equality)]),
% 148.80/149.20 [x,rule_29235]).
% 148.80/149.20 cnf('1.0.0.0',conjecture,
% 148.80/149.20 ( true1 = false1 ),
% 148.80/149.20 file('/tmp/WALDMEISTER_14509_n003',conjecture_1)).
% 148.80/149.20 cnf('1.0.0.1',plain,
% 148.80/149.20 ( false1 = false1 ),
% 148.80/149.20 inference(reduction,[status(thm)],['1.0.0.0','0.29516.2.0',theory(equality)]),
% 148.80/149.20 [pos('L','L')]).
% 148.80/149.20 cnf('1.0.0.2',plain,
% 148.80/149.20 ( $true ),
% 148.80/149.20 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 148.80/149.20 [conjecture_1]).
% 148.80/149.20
% 148.80/149.20 Proved Goals:
% 148.80/149.20 No. 1: true ?= false, current false1 ?= false1
% 148.80/149.20 using narrowing to prove true ?= reach(x1,x1,g,empty)
% 148.80/149.20
% 148.80/149.20 1 goal was specified, which was proved.
% 148.80/149.20 % SZS output end CNFRefutation
% 148.80/149.20 #END OF PROOF
% 148.80/149.20
% 148.80/149.20 Problem WALDMEISTER_14509_n003
% 148.80/149.20 CPs.gen 541991
% 148.80/149.20 CPs.reexp 0
% 148.80/149.20 Select 43303
% 148.80/149.20 R 29235
% 148.80/149.20 E 281
% 148.80/149.20 vsize 36.9M
% 148.80/149.20 rss 35.8M
% 148.80/149.20 process.time 148.214s
% 148.80/149.20 wallclock.time 148.218s
% 148.80/149.21 status S
% 148.80/149.21
% 148.80/149.21
% 148.80/149.21 Waldmeister states: Goal proved.
% 148.80/149.21 % SZS status Unsatisfiable
%------------------------------------------------------------------------------