TSTP Solution File: KLE044-10 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : KLE044-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:35:33 EDT 2022
% Result : Unsatisfiable 5.04s 5.48s
% Output : CNFRefutation 5.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : KLE044-10 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.10 % Command : woody %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Thu Jun 16 13:28:30 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.44/0.86 ********************************************************************************
% 0.44/0.86 * W A L D M E I S T E R \| \ / \|/ *
% 0.44/0.86 * |/ | \/ | *
% 0.44/0.86 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.44/0.86 * A. Jaeger and B. Loechner | | *
% 0.44/0.86 * <waldmeister@informatik.uni-kl.de> | *
% 0.44/0.86 ********************************************************************************
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Goals:
% 0.44/0.86 ------
% 0.44/0.86
% 0.44/0.86 ( 1) tuple(true,true) ?=? tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0))))
% 0.44/0.86
% 0.44/0.86 Detected structure: Praeloop
% 0.44/0.86 ********************************************************************************
% 0.44/0.86 ****************************** COMPLETION - PROOF ******************************
% 0.44/0.86 ********************************************************************************
% 0.44/0.86
% 5.04/5.48 joined goal: 1 tuple(true,true) ?= tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) to tuple(true,true)
% 5.04/5.48 goal joined
% 5.04/5.48 % SZS status Unsatisfiable
% 5.04/5.48 #START OF PROOF
% 5.04/5.48 % SZS output start CNFRefutation
% 5.04/5.48 cnf('0.1.0.0',axiom,
% 5.04/5.48 ( X1 = multiplication(X1,one) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.1.1.0',plain,
% 5.04/5.48 ( X1 = multiplication(X1,one) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.1.0.0']),
% 5.04/5.48 [weight('<0,0,0,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.1.2.0',plain,
% 5.04/5.48 ( multiplication(X1,one) = X1 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_1]).
% 5.04/5.48 cnf('0.2.0.0',axiom,
% 5.04/5.48 ( X1 = multiplication(one,X1) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.2.1.0',plain,
% 5.04/5.48 ( X1 = multiplication(one,X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.2.0.0']),
% 5.04/5.48 [weight('<1,0,0,[0,0,0,2]>')]).
% 5.04/5.48 cnf('0.2.2.0',plain,
% 5.04/5.48 ( multiplication(one,X1) = X1 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_2]).
% 5.04/5.48 cnf('0.3.0.0',axiom,
% 5.04/5.48 ( X1 = addition(X1,X1) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.3.1.0',plain,
% 5.04/5.48 ( X1 = addition(X1,X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.3.0.0']),
% 5.04/5.48 [weight('<2,0,0,[0,0,0,3]>')]).
% 5.04/5.48 cnf('0.3.2.0',plain,
% 5.04/5.48 ( addition(X1,X1) = X1 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_3]).
% 5.04/5.48 cnf('0.5.0.0',axiom,
% 5.04/5.48 ( X1 = ifeq(X2,X2,X1,X3) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.5.1.0',plain,
% 5.04/5.48 ( X1 = ifeq(X2,X2,X1,X3) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.5.0.0']),
% 5.04/5.48 [weight('<4,0,0,[0,0,0,5]>')]).
% 5.04/5.48 cnf('0.5.2.0',plain,
% 5.04/5.48 ( ifeq(X1,X1,X2,X3) = X2 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_5]).
% 5.04/5.48 cnf('0.6.0.0',axiom,
% 5.04/5.48 ( X1 = ifeq3(X2,X2,X1,X3) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.6.1.0',plain,
% 5.04/5.48 ( X1 = ifeq3(X2,X2,X1,X3) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.6.0.0']),
% 5.04/5.48 [weight('<5,0,0,[0,0,0,6]>')]).
% 5.04/5.48 cnf('0.6.2.0',plain,
% 5.04/5.48 ( ifeq3(X1,X1,X2,X3) = X2 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_6]).
% 5.04/5.48 cnf('0.7.0.0',axiom,
% 5.04/5.48 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.7.1.0',plain,
% 5.04/5.48 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.7.0.0']),
% 5.04/5.48 [weight('<6,0,0,[0,0,0,7]>')]).
% 5.04/5.48 cnf('0.7.2.0',plain,
% 5.04/5.48 ( ifeq2(X1,X1,X2,X3) = X2 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_7]).
% 5.04/5.48 cnf('0.8.0.0',axiom,
% 5.04/5.48 ( X1 = ifeq2(leq(X2,X1),true,addition(X2,X1),X1) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.8.1.0',plain,
% 5.04/5.48 ( X1 = ifeq2(leq(X2,X1),true,addition(X2,X1),X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.8.0.0']),
% 5.04/5.48 [weight('<7,0,0,[0,0,0,8]>')]).
% 5.04/5.48 cnf('0.8.2.0',plain,
% 5.04/5.48 ( ifeq2(leq(X1,X2),true,addition(X1,X2),X2) = X2 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_8]).
% 5.04/5.48 cnf('0.10.0.0',axiom,
% 5.04/5.48 ( multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.10.1.0',plain,
% 5.04/5.48 ( multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.10.0.0']),
% 5.04/5.48 [weight('<9,0,0,[0,0,0,10]>')]).
% 5.04/5.48 cnf('0.10.2.0',plain,
% 5.04/5.48 ( addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_10]).
% 5.04/5.48 cnf('0.12.0.0',axiom,
% 5.04/5.48 ( multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.12.1.0',plain,
% 5.04/5.48 ( multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.12.0.0']),
% 5.04/5.48 [weight('<11,0,0,[0,0,0,12]>')]).
% 5.04/5.48 cnf('0.12.2.0',plain,
% 5.04/5.48 ( addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_12]).
% 5.04/5.48 cnf('0.14.0.0',axiom,
% 5.04/5.48 ( addition(X1,X2) = addition(X2,X1) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.14.1.0',plain,
% 5.04/5.48 ( addition(X1,X2) = addition(X2,X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.14.0.0']),
% 5.04/5.48 [weight('<13,0,0,[0,0,0,14]>')]).
% 5.04/5.48 cnf('0.14.2.0',plain,
% 5.04/5.48 ( addition(X1,X2) = addition(X2,X1) ),
% 5.04/5.48 inference(activate,[status(thm)],['0.14.1.0']),
% 5.04/5.48 [equation_1]).
% 5.04/5.48 cnf('0.15.0.0',axiom,
% 5.04/5.48 ( addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.15.1.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.15.0.0']),
% 5.04/5.48 [weight('<14,0,0,[0,0,0,15]>')]).
% 5.04/5.48 cnf('0.15.2.0',plain,
% 5.04/5.48 ( addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_14]).
% 5.04/5.48 cnf('0.16.0.0',axiom,
% 5.04/5.48 ( true = leq(addition(one,multiplication(X1,star(X1))),star(X1)) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.16.1.0',plain,
% 5.04/5.48 ( true = leq(addition(one,multiplication(X1,star(X1))),star(X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.16.0.0']),
% 5.04/5.48 [weight('<15,0,0,[0,0,0,16]>')]).
% 5.04/5.48 cnf('0.16.2.0',plain,
% 5.04/5.48 ( leq(addition(one,multiplication(X1,star(X1))),star(X1)) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_15]).
% 5.04/5.48 cnf('0.17.0.0',axiom,
% 5.04/5.48 ( true = leq(addition(one,multiplication(star(X1),X1)),star(X1)) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.17.1.0',plain,
% 5.04/5.48 ( true = leq(addition(one,multiplication(star(X1),X1)),star(X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.17.0.0']),
% 5.04/5.48 [weight('<16,0,0,[0,0,0,17]>')]).
% 5.04/5.48 cnf('0.17.2.0',plain,
% 5.04/5.48 ( leq(addition(one,multiplication(star(X1),X1)),star(X1)) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_16]).
% 5.04/5.48 cnf('0.18.0.0',axiom,
% 5.04/5.48 ( true = ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.18.1.0',plain,
% 5.04/5.48 ( true = ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.18.0.0']),
% 5.04/5.48 [weight('<17,0,0,[0,0,0,18]>')]).
% 5.04/5.48 cnf('0.18.2.0',plain,
% 5.04/5.48 ( ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_17]).
% 5.04/5.48 cnf('0.20.0.0',axiom,
% 5.04/5.48 ( true = ifeq3(addition(X1,X2),X2,leq(X1,X2),true) ),
% 5.04/5.48 file('/tmp/WALDMEISTER_4170_n032')).
% 5.04/5.48 cnf('0.20.1.0',plain,
% 5.04/5.48 ( true = ifeq3(addition(X1,X2),X2,leq(X1,X2),true) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.20.0.0']),
% 5.04/5.48 [weight('<19,0,0,[0,0,0,20]>')]).
% 5.04/5.48 cnf('0.20.2.0',plain,
% 5.04/5.48 ( ifeq3(addition(X1,X2),X2,leq(X1,X2),true) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_19]).
% 5.04/5.48 cnf('0.22.0.0',plain,
% 5.04/5.48 ( true = ifeq3(X1,X1,leq(X1,X1),true) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.22.0.1',plain,
% 5.04/5.48 ( true = leq(X1,X1) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.22.0.0','0.6.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.22.1.0',plain,
% 5.04/5.48 ( true = leq(X1,X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.22.0.1']),
% 5.04/5.48 [weight('<19,20,3,[1,0,0,1]>')]).
% 5.04/5.48 cnf('0.22.2.0',plain,
% 5.04/5.48 ( leq(X1,X1) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_21]).
% 5.04/5.48 cnf('0.26.0.0',plain,
% 5.04/5.48 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.15.2.0','0.3.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.26.1.0',plain,
% 5.04/5.48 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.26.0.0']),
% 5.04/5.48 [weight('<53,15,3,[1,0,0,1]>')]).
% 5.04/5.48 cnf('0.26.2.0',plain,
% 5.04/5.48 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 5.04/5.48 [u,rule_25]).
% 5.04/5.48 cnf('0.27.0.0',plain,
% 5.04/5.48 ( true = ifeq3(addition(X1,X2),addition(X1,X2),leq(X1,addition(X1,X2)),true) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.20.2.0','0.26.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.27.0.1',plain,
% 5.04/5.48 ( true = leq(X1,addition(X1,X2)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.27.0.0','0.6.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.27.1.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X1,X2)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.27.0.1']),
% 5.04/5.48 [weight('<41,26,20,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.27.2.0',plain,
% 5.04/5.48 ( leq(X1,addition(X1,X2)) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_26]).
% 5.04/5.48 cnf('0.28.0.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,X1)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.27.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.28.1.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.28.0.0']),
% 5.04/5.48 [weight('<41,27,14,[1,0,0,2]>')]).
% 5.04/5.48 cnf('0.28.2.0',plain,
% 5.04/5.48 ( leq(X1,addition(X2,X1)) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_27]).
% 5.04/5.48 cnf('0.29.0.0',plain,
% 5.04/5.48 ( addition(X1,X2) = addition(X1,addition(X2,X1)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.26.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.29.1.0',plain,
% 5.04/5.48 ( addition(X1,X2) = addition(X1,addition(X2,X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.29.0.0']),
% 5.04/5.48 [weight('<53,26,14,[1,0,0,2]>')]).
% 5.04/5.48 cnf('0.29.2.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,X1)) = addition(X1,X2) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_28]).
% 5.04/5.48 cnf('0.35.0.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,addition(X3,X1))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.28.2.0','0.15.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.35.1.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,addition(X3,X1))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.35.0.0']),
% 5.04/5.48 [weight('<71,28,15,[1,0,0,2]>')]).
% 5.04/5.48 cnf('0.35.2.0',plain,
% 5.04/5.48 ( leq(X1,addition(X2,addition(X3,X1))) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_34]).
% 5.04/5.48 cnf('0.37.0.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(addition(X2,X1),X3)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.35.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.37.0.1',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,addition(X1,X3))) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.37.0.0','0.15.2.0',theory(equality)]),
% 5.04/5.48 [pos('R.2','L')]).
% 5.04/5.48 cnf('0.37.1.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,addition(X1,X3))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.37.0.1']),
% 5.04/5.48 [weight('<71,35,14,[1,0,0,2]>')]).
% 5.04/5.48 cnf('0.37.2.0',plain,
% 5.04/5.48 ( leq(X1,addition(X2,addition(X1,X3))) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_36]).
% 5.04/5.48 cnf('0.62.0.0',plain,
% 5.04/5.48 ( addition(X1,addition(addition(X2,X1),X3)) = addition(addition(X1,X2),X3) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.15.2.0','0.29.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.62.0.1',plain,
% 5.04/5.48 ( addition(X1,addition(X2,addition(X1,X3))) = addition(addition(X1,X2),X3) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.62.0.0','0.15.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.62.0.2',plain,
% 5.04/5.48 ( addition(X1,addition(X2,addition(X1,X3))) = addition(X1,addition(X2,X3)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.62.0.1','0.15.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.62.1.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,addition(X1,X3))) = addition(X1,addition(X2,X3)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.62.0.2']),
% 5.04/5.48 [weight('<103,29,15,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.62.2.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,addition(X1,X3))) = addition(X1,addition(X2,X3)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 5.04/5.48 [u,rule_61]).
% 5.04/5.48 cnf('0.65.0.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,X3)) = ifeq2(true,true,addition(X2,addition(X1,addition(X2,X3))),addition(X1,addition(X2,X3))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.8.2.0','0.37.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.65.0.1',plain,
% 5.04/5.48 ( addition(X1,addition(X2,X3)) = addition(X2,addition(X1,addition(X2,X3))) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.65.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.65.1.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,X3)) = addition(X2,addition(X1,addition(X2,X3))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.65.0.1']),
% 5.04/5.48 [weight('<103,37,8,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.65.1.1',plain,
% 5.04/5.48 ( addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.65.1.0','0.62.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.65.2.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)) ),
% 5.04/5.48 inference(activate,[status(thm)],['0.65.1.1']),
% 5.04/5.48 [equation_3]).
% 5.04/5.48 cnf('0.66.0.0',plain,
% 5.04/5.48 ( X1 = ifeq2(leq(X2,X1),true,addition(X1,X2),X1) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.8.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.3','L')]).
% 5.04/5.48 cnf('0.66.1.0',plain,
% 5.04/5.48 ( X1 = ifeq2(leq(X2,X1),true,addition(X1,X2),X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.66.0.0']),
% 5.04/5.48 [weight('<109,14,8,[0,0,0,5]>')]).
% 5.04/5.48 cnf('0.66.2.0',plain,
% 5.04/5.48 ( ifeq2(leq(X1,X2),true,addition(X2,X1),X2) = X2 ),
% 5.04/5.48 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_63]).
% 5.04/5.48 cnf('0.68.0.0',plain,
% 5.04/5.48 ( true = leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.27.2.0','0.10.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.68.1.0',plain,
% 5.04/5.48 ( true = leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.68.0.0']),
% 5.04/5.48 [weight('<109,27,10,[1,0,0,2]>')]).
% 5.04/5.48 cnf('0.68.2.0',plain,
% 5.04/5.48 ( leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3))) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_65]).
% 5.04/5.48 cnf('0.71.0.0',plain,
% 5.04/5.48 ( true = leq(X1,multiplication(X1,addition(one,X2))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.68.2.0','0.1.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.71.1.0',plain,
% 5.04/5.48 ( true = leq(X1,multiplication(X1,addition(one,X2))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.71.0.0']),
% 5.04/5.48 [weight('<71,68,1,[1,0,0,1]>')]).
% 5.04/5.48 cnf('0.71.2.0',plain,
% 5.04/5.48 ( leq(X1,multiplication(X1,addition(one,X2))) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_68]).
% 5.04/5.48 cnf('0.91.0.0',plain,
% 5.04/5.48 ( multiplication(X1,addition(one,X2)) = ifeq2(true,true,addition(X1,multiplication(X1,addition(one,X2))),multiplication(X1,addition(one,X2))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.8.2.0','0.71.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.91.0.1',plain,
% 5.04/5.48 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,addition(one,X2))) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.91.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.91.1.0',plain,
% 5.04/5.48 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,addition(one,X2))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.91.0.1']),
% 5.04/5.48 [weight('<103,71,8,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.91.2.0',plain,
% 5.04/5.48 ( addition(X1,multiplication(X1,addition(one,X2))) = multiplication(X1,addition(one,X2)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_88]).
% 5.04/5.48 cnf('0.101.0.0',plain,
% 5.04/5.48 ( true = leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.27.2.0','0.12.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.101.1.0',plain,
% 5.04/5.48 ( true = leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.101.0.0']),
% 5.04/5.48 [weight('<109,27,12,[1,0,0,2]>')]).
% 5.04/5.48 cnf('0.101.2.0',plain,
% 5.04/5.48 ( leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_98]).
% 5.04/5.48 cnf('0.104.0.0',plain,
% 5.04/5.48 ( true = leq(X1,multiplication(addition(one,X2),X1)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.101.2.0','0.2.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.104.1.0',plain,
% 5.04/5.48 ( true = leq(X1,multiplication(addition(one,X2),X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.104.0.0']),
% 5.04/5.48 [weight('<71,101,2,[1,0,0,1]>')]).
% 5.04/5.48 cnf('0.104.2.0',plain,
% 5.04/5.48 ( leq(X1,multiplication(addition(one,X2),X1)) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_101]).
% 5.04/5.48 cnf('0.121.0.0',plain,
% 5.04/5.48 ( multiplication(addition(one,X1),X2) = ifeq2(true,true,addition(X2,multiplication(addition(one,X1),X2)),multiplication(addition(one,X1),X2)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.8.2.0','0.104.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.121.0.1',plain,
% 5.04/5.48 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(addition(one,X1),X2)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.121.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.121.1.0',plain,
% 5.04/5.48 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(addition(one,X1),X2)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.121.0.1']),
% 5.04/5.48 [weight('<103,104,8,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.121.2.0',plain,
% 5.04/5.48 ( addition(X1,multiplication(addition(one,X2),X1)) = multiplication(addition(one,X2),X1) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_117]).
% 5.04/5.48 cnf('0.154.0.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,multiplication(X1,addition(one,X3)))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.37.2.0','0.91.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2.2','L')]).
% 5.04/5.48 cnf('0.154.1.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,multiplication(X1,addition(one,X3)))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.154.0.0']),
% 5.04/5.48 [weight('<109,91,37,[0,0,0,4]>')]).
% 5.04/5.48 cnf('0.154.2.0',plain,
% 5.04/5.48 ( leq(X1,addition(X2,multiplication(X1,addition(one,X3)))) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_150]).
% 5.04/5.48 cnf('0.193.0.0',plain,
% 5.04/5.48 ( star(X1) = ifeq2(true,true,addition(addition(one,multiplication(X1,star(X1))),star(X1)),star(X1)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.8.2.0','0.16.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.193.0.1',plain,
% 5.04/5.48 ( star(X1) = addition(addition(one,multiplication(X1,star(X1))),star(X1)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.193.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.193.0.2',plain,
% 5.04/5.48 ( star(X1) = addition(one,addition(multiplication(X1,star(X1)),star(X1))) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.193.0.1','0.15.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.193.1.0',plain,
% 5.04/5.48 ( star(X1) = addition(one,addition(multiplication(X1,star(X1)),star(X1))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.193.0.2']),
% 5.04/5.48 [weight('<119,16,8,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.193.1.1',plain,
% 5.04/5.48 ( star(X1) = addition(one,addition(star(X1),multiplication(X1,star(X1)))) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.193.1.0','0.14.2.0',theory(equality)]),
% 5.04/5.48 [pos('R.2','L')]).
% 5.04/5.48 cnf('0.193.2.0',plain,
% 5.04/5.48 ( addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.193.1.1',theory(equality)]),
% 5.04/5.48 [x,rule_189]).
% 5.04/5.48 cnf('0.195.0.0',plain,
% 5.04/5.48 ( addition(one,addition(star(X1),multiplication(X1,star(X1)))) = addition(one,star(X1)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.26.2.0','0.193.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.195.0.1',plain,
% 5.04/5.48 ( star(X1) = addition(one,star(X1)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.195.0.0','0.193.2.0',theory(equality)]),
% 5.04/5.48 [pos('L','L')]).
% 5.04/5.48 cnf('0.195.1.0',plain,
% 5.04/5.48 ( star(X1) = addition(one,star(X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.195.0.1']),
% 5.04/5.48 [weight('<34,193,26,[0,0,0,2]>')]).
% 5.04/5.48 cnf('0.195.2.0',plain,
% 5.04/5.48 ( addition(one,star(X1)) = star(X1) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_191]).
% 5.04/5.48 cnf('0.205.0.0',plain,
% 5.04/5.48 ( multiplication(X1,addition(one,addition(star(X2),multiplication(X2,star(X2))))) = addition(X1,multiplication(X1,star(X2))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.91.2.0','0.193.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2.2','L')]).
% 5.04/5.48 cnf('0.205.0.1',plain,
% 5.04/5.48 ( multiplication(X1,star(X2)) = addition(X1,multiplication(X1,star(X2))) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.205.0.0','0.193.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.205.1.0',plain,
% 5.04/5.48 ( multiplication(X1,star(X2)) = addition(X1,multiplication(X1,star(X2))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.205.0.1']),
% 5.04/5.48 [weight('<76,193,91,[0,0,0,4]>')]).
% 5.04/5.48 cnf('0.205.2.0',plain,
% 5.04/5.48 ( addition(X1,multiplication(X1,star(X2))) = multiplication(X1,star(X2)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_201]).
% 5.04/5.48 cnf('0.207.0.0',plain,
% 5.04/5.48 ( multiplication(addition(one,addition(star(X1),multiplication(X1,star(X1)))),X2) = addition(X2,multiplication(star(X1),X2)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.121.2.0','0.193.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2.1','L')]).
% 5.04/5.48 cnf('0.207.0.1',plain,
% 5.04/5.48 ( multiplication(star(X1),X2) = addition(X2,multiplication(star(X1),X2)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.207.0.0','0.193.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.207.1.0',plain,
% 5.04/5.48 ( multiplication(star(X1),X2) = addition(X2,multiplication(star(X1),X2)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.207.0.1']),
% 5.04/5.48 [weight('<76,193,121,[0,0,0,3]>')]).
% 5.04/5.48 cnf('0.207.2.0',plain,
% 5.04/5.48 ( addition(X1,multiplication(star(X2),X1)) = multiplication(star(X2),X1) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_203]).
% 5.04/5.48 cnf('0.208.0.0',plain,
% 5.04/5.48 ( addition(one,addition(star(X1),X2)) = addition(star(X1),X2) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.15.2.0','0.195.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.208.1.0',plain,
% 5.04/5.48 ( addition(one,addition(star(X1),X2)) = addition(star(X1),X2) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.208.0.0']),
% 5.04/5.48 [weight('<76,195,15,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.208.2.0',plain,
% 5.04/5.48 ( addition(one,addition(star(X1),X2)) = addition(star(X1),X2) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 5.04/5.48 [u,rule_204]).
% 5.04/5.48 cnf('0.209.0.0',plain,
% 5.04/5.48 ( addition(one,addition(X1,star(X2))) = addition(X1,star(X2)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.65.2.0','0.195.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.209.1.0',plain,
% 5.04/5.48 ( addition(one,addition(X1,star(X2))) = addition(X1,star(X2)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.209.0.0']),
% 5.04/5.48 [weight('<76,195,65,[0,0,0,2]>')]).
% 5.04/5.48 cnf('0.209.2.0',plain,
% 5.04/5.48 ( addition(one,addition(X1,star(X2))) = addition(X1,star(X2)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 5.04/5.48 [u,rule_205]).
% 5.04/5.48 cnf('0.210.0.0',plain,
% 5.04/5.48 ( addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1) ),
% 5.04/5.48 inference(interreduction_right,[status(thm)],['0.193.2.0'])).
% 5.04/5.48 cnf('0.210.0.1',plain,
% 5.04/5.48 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.210.0.0','0.208.2.0',theory(equality)]),
% 5.04/5.48 [pos('L','L')]).
% 5.04/5.48 cnf('0.210.1.0',plain,
% 5.04/5.48 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.210.0.1']),
% 5.04/5.48 [weight('<79,193,208,[0,0,0,0]>')]).
% 5.04/5.48 cnf('0.210.2.0',plain,
% 5.04/5.48 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 5.04/5.48 [u,rule_206]).
% 5.04/5.48 cnf('0.213.0.0',plain,
% 5.04/5.48 ( multiplication(X1,addition(X2,one)) = addition(multiplication(X1,X2),X1) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.213.1.0',plain,
% 5.04/5.48 ( multiplication(X1,addition(X2,one)) = addition(multiplication(X1,X2),X1) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.213.0.0']),
% 5.04/5.48 [weight('<?,10,1,[1,0,0,4]>')]).
% 5.04/5.48 cnf('0.213.1.1',plain,
% 5.04/5.48 ( multiplication(X1,addition(X2,one)) = addition(X1,multiplication(X1,X2)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.213.1.0','0.14.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.213.2.0',plain,
% 5.04/5.48 ( multiplication(X1,addition(X2,one)) = addition(X1,multiplication(X1,X2)) ),
% 5.04/5.48 inference(activate,[status(thm)],['0.213.1.1']),
% 5.04/5.48 [equation_5]).
% 5.04/5.48 cnf('0.218.0.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,multiplication(X1,star(X3)))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.154.2.0','0.195.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2.2.2','L')]).
% 5.04/5.48 cnf('0.218.1.0',plain,
% 5.04/5.48 ( true = leq(X1,addition(X2,multiplication(X1,star(X3)))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.218.0.0']),
% 5.04/5.48 [weight('<89,195,154,[0,0,0,6]>')]).
% 5.04/5.48 cnf('0.218.2.0',plain,
% 5.04/5.48 ( leq(X1,addition(X2,multiplication(X1,star(X3)))) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_213]).
% 5.04/5.48 cnf('0.219.0.0',plain,
% 5.04/5.48 ( true = leq(X1,star(X1)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.218.2.0','0.210.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.219.1.0',plain,
% 5.04/5.48 ( true = leq(X1,star(X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.219.0.0']),
% 5.04/5.48 [weight('<29,218,210,[1,0,0,2]>')]).
% 5.04/5.48 cnf('0.219.2.0',plain,
% 5.04/5.48 ( leq(X1,star(X1)) = true ),
% 5.04/5.48 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_214]).
% 5.04/5.48 cnf('0.220.0.0',plain,
% 5.04/5.48 ( star(X1) = ifeq2(true,true,addition(X1,star(X1)),star(X1)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.8.2.0','0.219.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.220.0.1',plain,
% 5.04/5.48 ( star(X1) = addition(X1,star(X1)) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.220.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.48 [pos('R','L')]).
% 5.04/5.48 cnf('0.220.1.0',plain,
% 5.04/5.48 ( star(X1) = addition(X1,star(X1)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.220.0.1']),
% 5.04/5.48 [weight('<34,219,8,[0,0,0,1]>')]).
% 5.04/5.48 cnf('0.220.2.0',plain,
% 5.04/5.48 ( addition(X1,star(X1)) = star(X1) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_215]).
% 5.04/5.48 cnf('0.408.0.0',plain,
% 5.04/5.48 ( star(addition(X1,X2)) = addition(X1,addition(X2,star(addition(X1,X2)))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.220.2.0','0.15.2.0',theory(equality)]),
% 5.04/5.48 [pos('L','L')]).
% 5.04/5.48 cnf('0.408.1.0',plain,
% 5.04/5.48 ( star(addition(X1,X2)) = addition(X1,addition(X2,star(addition(X1,X2)))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.408.0.0']),
% 5.04/5.48 [weight('<116,220,15,[1,0,0,0]>')]).
% 5.04/5.48 cnf('0.408.2.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,star(addition(X1,X2)))) = star(addition(X1,X2)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.408.1.0',theory(equality)]),
% 5.04/5.48 [x,rule_403]).
% 5.04/5.48 cnf('0.415.0.0',plain,
% 5.04/5.48 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(X1,X2)) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.12.2.0','0.2.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.1','L')]).
% 5.04/5.48 cnf('0.415.1.0',plain,
% 5.04/5.48 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(X1,X2)) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.415.0.0']),
% 5.04/5.48 [weight('<?,12,2,[1,0,0,1]>')]).
% 5.04/5.48 cnf('0.415.2.0',plain,
% 5.04/5.48 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(X1,X2)) ),
% 5.04/5.48 inference(activate,[status(thm)],['0.415.1.0']),
% 5.04/5.48 [equation_6]).
% 5.04/5.48 cnf('0.418.0.0',plain,
% 5.04/5.48 ( addition(X1,addition(X2,star(addition(X1,X2)))) = addition(X1,star(addition(X1,X2))) ),
% 5.04/5.48 inference(cp,[status(thm)],['0.26.2.0','0.408.2.0',theory(equality)]),
% 5.04/5.48 [pos('L.2','L')]).
% 5.04/5.48 cnf('0.418.0.1',plain,
% 5.04/5.48 ( star(addition(X1,X2)) = addition(X1,star(addition(X1,X2))) ),
% 5.04/5.48 inference(reduction,[status(thm)],['0.418.0.0','0.408.2.0',theory(equality)]),
% 5.04/5.48 [pos('L','L')]).
% 5.04/5.48 cnf('0.418.1.0',plain,
% 5.04/5.48 ( star(addition(X1,X2)) = addition(X1,star(addition(X1,X2))) ),
% 5.04/5.48 inference(weigh,[status(thm)],['0.418.0.1']),
% 5.04/5.48 [weight('<76,408,26,[0,0,0,2]>')]).
% 5.04/5.48 cnf('0.418.2.0',plain,
% 5.04/5.48 ( addition(X1,star(addition(X1,X2))) = star(addition(X1,X2)) ),
% 5.04/5.48 inference(orient,[status(thm)],['0.418.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_412]).
% 5.04/5.49 cnf('0.420.0.0',plain,
% 5.04/5.49 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 5.04/5.49 inference(interreduction_right,[status(thm)],['0.210.2.0'])).
% 5.04/5.49 cnf('0.420.1.0',plain,
% 5.04/5.49 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.420.0.0']),
% 5.04/5.49 [weight('<79,210,415,[0,0,0,0]>')]).
% 5.04/5.49 cnf('0.420.1.1',plain,
% 5.04/5.49 ( multiplication(addition(one,X1),star(X1)) = star(X1) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.420.1.0','0.415.2.0',theory(equality)]),
% 5.04/5.49 [pos('L','R')]).
% 5.04/5.49 cnf('0.420.2.0',plain,
% 5.04/5.49 ( multiplication(addition(one,X1),star(X1)) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.420.1.1',theory(equality)]),
% 5.04/5.49 [u,rule_414]).
% 5.04/5.49 cnf('0.421.0.0',plain,
% 5.04/5.49 ( star(X1) = multiplication(addition(X1,one),star(X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.420.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.421.1.0',plain,
% 5.04/5.49 ( star(X1) = multiplication(addition(X1,one),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.421.0.0']),
% 5.04/5.49 [weight('<62,420,14,[1,0,0,1]>')]).
% 5.04/5.49 cnf('0.421.2.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(X1)) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.421.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_415]).
% 5.04/5.49 cnf('0.516.0.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),X2) = addition(multiplication(X1,X2),X2) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.12.2.0','0.2.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2','L')]).
% 5.04/5.49 cnf('0.516.1.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),X2) = addition(multiplication(X1,X2),X2) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.516.0.0']),
% 5.04/5.49 [weight('<?,12,2,[1,0,0,4]>')]).
% 5.04/5.49 cnf('0.516.1.1',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),X2) = addition(X2,multiplication(X1,X2)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.516.1.0','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.516.2.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),X2) = addition(X2,multiplication(X1,X2)) ),
% 5.04/5.49 inference(activate,[status(thm)],['0.516.1.1']),
% 5.04/5.49 [equation_7]).
% 5.04/5.49 cnf('0.546.0.0',plain,
% 5.04/5.49 ( star(X1) = ifeq2(true,true,addition(addition(one,multiplication(star(X1),X1)),star(X1)),star(X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.8.2.0','0.17.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.546.0.1',plain,
% 5.04/5.49 ( star(X1) = addition(addition(one,multiplication(star(X1),X1)),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.546.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.546.0.2',plain,
% 5.04/5.49 ( star(X1) = addition(one,addition(multiplication(star(X1),X1),star(X1))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.546.0.1','0.15.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.546.1.0',plain,
% 5.04/5.49 ( star(X1) = addition(one,addition(multiplication(star(X1),X1),star(X1))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.546.0.2']),
% 5.04/5.49 [weight('<119,17,8,[0,0,0,1]>')]).
% 5.04/5.49 cnf('0.546.1.1',plain,
% 5.04/5.49 ( star(X1) = addition(multiplication(star(X1),X1),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.546.1.0','0.209.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.546.1.2',plain,
% 5.04/5.49 ( star(X1) = addition(star(X1),multiplication(star(X1),X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.546.1.1','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.546.1.3',plain,
% 5.04/5.49 ( star(X1) = multiplication(star(X1),addition(X1,one)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.546.1.2','0.213.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','R')]).
% 5.04/5.49 cnf('0.546.2.0',plain,
% 5.04/5.49 ( multiplication(star(X1),addition(X1,one)) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.546.1.3',theory(equality)]),
% 5.04/5.49 [x,rule_539]).
% 5.04/5.49 cnf('0.547.0.0',plain,
% 5.04/5.49 ( star(X1) = multiplication(star(X1),addition(one,X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.546.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2','L')]).
% 5.04/5.49 cnf('0.547.1.0',plain,
% 5.04/5.49 ( star(X1) = multiplication(star(X1),addition(one,X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.547.0.0']),
% 5.04/5.49 [weight('<62,546,14,[1,0,0,3]>')]).
% 5.04/5.49 cnf('0.547.2.0',plain,
% 5.04/5.49 ( multiplication(star(X1),addition(one,X1)) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.547.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_540]).
% 5.04/5.49 cnf('0.548.0.0',plain,
% 5.04/5.49 ( star(star(X1)) = multiplication(star(star(X1)),star(X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.547.2.0','0.195.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2','L')]).
% 5.04/5.49 cnf('0.548.1.0',plain,
% 5.04/5.49 ( star(star(X1)) = multiplication(star(star(X1)),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.548.0.0']),
% 5.04/5.49 [weight('<69,547,195,[1,0,0,3]>')]).
% 5.04/5.49 cnf('0.548.2.0',plain,
% 5.04/5.49 ( multiplication(star(star(X1)),star(X1)) = star(star(X1)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.548.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_541]).
% 5.04/5.49 cnf('0.1146.0.0',plain,
% 5.04/5.49 ( addition(X1,addition(star(addition(X1,X2)),X3)) = addition(star(addition(X1,X2)),X3) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.15.2.0','0.418.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1146.1.0',plain,
% 5.04/5.49 ( addition(X1,addition(star(addition(X1,X2)),X3)) = addition(star(addition(X1,X2)),X3) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1146.0.0']),
% 5.04/5.49 [weight('<134,418,15,[0,0,0,1]>')]).
% 5.04/5.49 cnf('0.1146.2.0',plain,
% 5.04/5.49 ( addition(X1,addition(star(addition(X1,X2)),X3)) = addition(star(addition(X1,X2)),X3) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1146.1.0',theory(equality)]),
% 5.04/5.49 [u,rule_1138]).
% 5.04/5.49 cnf('0.1187.0.0',plain,
% 5.04/5.49 ( multiplication(addition(addition(one,X1),X2),star(X1)) = addition(star(X1),multiplication(X2,star(X1))) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.12.2.0','0.420.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1187.0.1',plain,
% 5.04/5.49 ( multiplication(addition(one,addition(X1,X2)),star(X1)) = addition(star(X1),multiplication(X2,star(X1))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1187.0.0','0.15.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1187.1.0',plain,
% 5.04/5.49 ( multiplication(addition(one,addition(X1,X2)),star(X1)) = addition(star(X1),multiplication(X2,star(X1))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1187.0.1']),
% 5.04/5.49 [weight('<143,420,12,[0,0,0,1]>')]).
% 5.04/5.49 cnf('0.1187.1.1',plain,
% 5.04/5.49 ( multiplication(addition(one,addition(X1,X2)),star(X1)) = multiplication(addition(X2,one),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1187.1.0','0.516.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','R')]).
% 5.04/5.49 cnf('0.1187.2.0',plain,
% 5.04/5.49 ( multiplication(addition(one,addition(X1,X2)),star(X1)) = multiplication(addition(X2,one),star(X1)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1187.1.1',theory(equality)]),
% 5.04/5.49 [u,rule_1179]).
% 5.04/5.49 cnf('0.1188.0.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(X2)) = multiplication(addition(X2,addition(one,X1)),star(X2)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1187.2.0','0.65.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1188.1.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(X2)) = multiplication(addition(X2,addition(one,X1)),star(X2)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1188.0.0']),
% 5.04/5.49 [weight('<134,1187,0,[1,0,0,1]>')]).
% 5.04/5.49 cnf('0.1188.2.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,addition(one,X2)),star(X1)) = multiplication(addition(X2,one),star(X1)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1188.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1180]).
% 5.04/5.49 cnf('0.1190.0.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(X2)) = multiplication(addition(X2,addition(X1,one)),star(X2)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1188.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1.2','L')]).
% 5.04/5.49 cnf('0.1190.1.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(X2)) = multiplication(addition(X2,addition(X1,one)),star(X2)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1190.0.0']),
% 5.04/5.49 [weight('<134,1188,0,[1,0,0,3]>')]).
% 5.04/5.49 cnf('0.1190.2.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,addition(X2,one)),star(X1)) = multiplication(addition(X2,one),star(X1)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1190.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1182]).
% 5.04/5.49 cnf('0.1193.0.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(X2)) = multiplication(addition(X1,addition(X2,one)),star(X2)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1190.2.0','0.65.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1193.1.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(X2)) = multiplication(addition(X1,addition(X2,one)),star(X2)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1193.0.0']),
% 5.04/5.49 [weight('<134,1190,65,[1,0,0,1]>')]).
% 5.04/5.49 cnf('0.1193.2.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,addition(X2,one)),star(X2)) = multiplication(addition(X1,one),star(X2)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1193.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1185]).
% 5.04/5.49 cnf('0.1248.0.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(star(addition(X1,X2)))) = multiplication(addition(star(addition(X1,X2)),one),star(star(addition(X1,X2)))) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1193.2.0','0.1146.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1248.0.1',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(star(addition(X1,X2)))) = star(star(addition(X1,X2))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1248.0.0','0.421.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1248.1.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(star(addition(X1,X2)))) = star(star(addition(X1,X2))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1248.0.1']),
% 5.04/5.49 [weight('<149,1193,1146,[1,0,0,1]>')]).
% 5.04/5.49 cnf('0.1248.2.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(star(addition(X1,X2)))) = star(star(addition(X1,X2))) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1248.1.0',theory(equality)]),
% 5.04/5.49 [u,rule_1240]).
% 5.04/5.49 cnf('0.1285.0.0',plain,
% 5.04/5.49 ( true = leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2)))) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.35.2.0','0.10.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2.2','L')]).
% 5.04/5.49 cnf('0.1285.1.0',plain,
% 5.04/5.49 ( true = leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2)))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1285.0.0']),
% 5.04/5.49 [weight('<155,35,10,[1,0,0,4]>')]).
% 5.04/5.49 cnf('0.1285.2.0',plain,
% 5.04/5.49 ( leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2)))) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1285.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1277]).
% 5.04/5.49 cnf('0.1286.0.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),X1),addition(X2,star(X1))) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1285.2.0','0.547.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2.2','L')]).
% 5.04/5.49 cnf('0.1286.1.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),X1),addition(X2,star(X1))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1286.0.0']),
% 5.04/5.49 [weight('<109,1285,547,[1,0,0,6]>')]).
% 5.04/5.49 cnf('0.1286.2.0',plain,
% 5.04/5.49 ( leq(multiplication(star(X1),X1),addition(X2,star(X1))) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1286.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1278]).
% 5.04/5.49 cnf('0.1287.0.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),X1),addition(star(X1),X2)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1286.2.0','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2','L')]).
% 5.04/5.49 cnf('0.1287.1.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),X1),addition(star(X1),X2)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1287.0.0']),
% 5.04/5.49 [weight('<109,1286,14,[1,0,0,5]>')]).
% 5.04/5.49 cnf('0.1287.2.0',plain,
% 5.04/5.49 ( leq(multiplication(star(X1),X1),addition(star(X1),X2)) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1287.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1279]).
% 5.04/5.49 cnf('0.1289.0.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),X1),multiplication(star(X1),star(X2))) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1287.2.0','0.205.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2','L')]).
% 5.04/5.49 cnf('0.1289.1.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),X1),multiplication(star(X1),star(X2))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1289.0.0']),
% 5.04/5.49 [weight('<131,1287,205,[1,0,0,5]>')]).
% 5.04/5.49 cnf('0.1289.2.0',plain,
% 5.04/5.49 ( leq(multiplication(star(X1),X1),multiplication(star(X1),star(X2))) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1289.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1281]).
% 5.04/5.49 cnf('0.1290.0.0',plain,
% 5.04/5.49 ( multiplication(star(X1),star(X2)) = ifeq2(true,true,addition(multiplication(star(X1),X1),multiplication(star(X1),star(X2))),multiplication(star(X1),star(X2))) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.8.2.0','0.1289.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1290.0.1',plain,
% 5.04/5.49 ( multiplication(star(X1),star(X2)) = addition(multiplication(star(X1),X1),multiplication(star(X1),star(X2))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1290.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1290.0.2',plain,
% 5.04/5.49 ( multiplication(star(X1),star(X2)) = multiplication(star(X1),addition(X1,star(X2))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1290.0.1','0.10.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1290.1.0',plain,
% 5.04/5.49 ( multiplication(star(X1),star(X2)) = multiplication(star(X1),addition(X1,star(X2))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1290.0.2']),
% 5.04/5.49 [weight('<103,1289,8,[0,0,0,1]>')]).
% 5.04/5.49 cnf('0.1290.2.0',plain,
% 5.04/5.49 ( multiplication(star(X1),addition(X1,star(X2))) = multiplication(star(X1),star(X2)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1290.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1282]).
% 5.04/5.49 cnf('0.1425.0.0',plain,
% 5.04/5.49 ( true = ifeq(leq(addition(multiplication(X1,X2),one),X2),true,leq(star(X1),X2),true) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.18.2.0','0.1.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.3.1','L')]).
% 5.04/5.49 cnf('0.1425.1.0',plain,
% 5.04/5.49 ( true = ifeq(leq(addition(multiplication(X1,X2),one),X2),true,leq(star(X1),X2),true) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1425.0.0']),
% 5.04/5.49 [weight('<?,18,1,[1,0,0,10]>')]).
% 5.04/5.49 cnf('0.1425.1.1',plain,
% 5.04/5.49 ( true = ifeq(leq(addition(one,multiplication(X1,X2)),X2),true,leq(star(X1),X2),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1425.1.0','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1.1','L')]).
% 5.04/5.49 cnf('0.1425.2.0',plain,
% 5.04/5.49 ( ifeq(leq(addition(one,multiplication(X1,X2)),X2),true,leq(star(X1),X2),true) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1425.1.1',theory(equality)]),
% 5.04/5.49 [x,rule_1417]).
% 5.04/5.49 cnf('0.1432.0.0',plain,
% 5.04/5.49 ( true = ifeq(leq(addition(one,star(X1)),star(X1)),true,leq(star(addition(one,X1)),star(X1)),true) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1425.2.0','0.420.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1.1.2','L')]).
% 5.04/5.49 cnf('0.1432.0.1',plain,
% 5.04/5.49 ( true = ifeq(leq(star(X1),star(X1)),true,leq(star(addition(one,X1)),star(X1)),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1432.0.0','0.195.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1.1','L')]).
% 5.04/5.49 cnf('0.1432.0.2',plain,
% 5.04/5.49 ( true = ifeq(true,true,leq(star(addition(one,X1)),star(X1)),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1432.0.1','0.22.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1','L')]).
% 5.04/5.49 cnf('0.1432.0.3',plain,
% 5.04/5.49 ( true = leq(star(addition(one,X1)),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1432.0.2','0.5.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1432.1.0',plain,
% 5.04/5.49 ( true = leq(star(addition(one,X1)),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1432.0.3']),
% 5.04/5.49 [weight('<71,1425,420,[1,0,0,4]>')]).
% 5.04/5.49 cnf('0.1432.2.0',plain,
% 5.04/5.49 ( leq(star(addition(one,X1)),star(X1)) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1432.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1424]).
% 5.04/5.49 cnf('0.1433.0.0',plain,
% 5.04/5.49 ( true = ifeq(leq(addition(one,star(X1)),star(X1)),true,leq(star(addition(X1,one)),star(X1)),true) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1425.2.0','0.421.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1.1.2','L')]).
% 5.04/5.49 cnf('0.1433.0.1',plain,
% 5.04/5.49 ( true = ifeq(leq(star(X1),star(X1)),true,leq(star(addition(X1,one)),star(X1)),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1433.0.0','0.195.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1.1','L')]).
% 5.04/5.49 cnf('0.1433.0.2',plain,
% 5.04/5.49 ( true = ifeq(true,true,leq(star(addition(X1,one)),star(X1)),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1433.0.1','0.22.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1','L')]).
% 5.04/5.49 cnf('0.1433.0.3',plain,
% 5.04/5.49 ( true = leq(star(addition(X1,one)),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1433.0.2','0.5.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1433.1.0',plain,
% 5.04/5.49 ( true = leq(star(addition(X1,one)),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1433.0.3']),
% 5.04/5.49 [weight('<71,1425,421,[1,0,0,4]>')]).
% 5.04/5.49 cnf('0.1433.2.0',plain,
% 5.04/5.49 ( leq(star(addition(X1,one)),star(X1)) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1433.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_1425]).
% 5.04/5.49 cnf('0.1435.0.0',plain,
% 5.04/5.49 ( star(X1) = ifeq2(true,true,addition(star(addition(X1,one)),star(X1)),star(X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.8.2.0','0.1433.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.1435.0.1',plain,
% 5.04/5.49 ( star(X1) = addition(star(addition(X1,one)),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1435.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1435.1.0',plain,
% 5.04/5.49 ( star(X1) = addition(star(addition(X1,one)),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1435.0.1']),
% 5.04/5.49 [weight('<79,1433,8,[0,0,0,1]>')]).
% 5.04/5.49 cnf('0.1435.1.1',plain,
% 5.04/5.49 ( star(X1) = addition(star(X1),star(addition(X1,one))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1435.1.0','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1435.2.0',plain,
% 5.04/5.49 ( addition(star(X1),star(addition(X1,one))) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1435.1.1',theory(equality)]),
% 5.04/5.49 [x,rule_1427]).
% 5.04/5.49 cnf('0.1443.0.0',plain,
% 5.04/5.49 ( multiplication(star(star(X1)),star(addition(X1,one))) = multiplication(star(star(X1)),star(X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1290.2.0','0.1435.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2','L')]).
% 5.04/5.49 cnf('0.1443.0.1',plain,
% 5.04/5.49 ( multiplication(star(star(X1)),star(addition(X1,one))) = star(star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.1443.0.0','0.548.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.1443.1.0',plain,
% 5.04/5.49 ( multiplication(star(star(X1)),star(addition(X1,one))) = star(star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.1443.0.1']),
% 5.04/5.49 [weight('<107,1435,1290,[0,0,0,3]>')]).
% 5.04/5.49 cnf('0.1443.2.0',plain,
% 5.04/5.49 ( multiplication(star(star(X1)),star(addition(X1,one))) = star(star(X1)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.1443.1.0',theory(equality)]),
% 5.04/5.49 [u,rule_1435]).
% 5.04/5.49 cnf('0.2031.0.0',plain,
% 5.04/5.49 ( true = ifeq(leq(multiplication(addition(X1,X2),X3),X3),true,leq(multiplication(star(X1),multiplication(X2,X3)),X3),true) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.18.2.0','0.12.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1.1','L')]).
% 5.04/5.49 cnf('0.2031.1.0',plain,
% 5.04/5.49 ( true = ifeq(leq(multiplication(addition(X1,X2),X3),X3),true,leq(multiplication(star(X1),multiplication(X2,X3)),X3),true) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.2031.0.0']),
% 5.04/5.49 [weight('<?,18,12,[1,0,0,2]>')]).
% 5.04/5.49 cnf('0.2031.2.0',plain,
% 5.04/5.49 ( ifeq(leq(multiplication(addition(X1,X2),X3),X3),true,leq(multiplication(star(X1),multiplication(X2,X3)),X3),true) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.2031.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_2023]).
% 5.04/5.49 cnf('0.2032.0.0',plain,
% 5.04/5.49 ( true = ifeq(leq(star(X1),star(X1)),true,leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1)),true) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.2031.2.0','0.421.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1.1','L')]).
% 5.04/5.49 cnf('0.2032.0.1',plain,
% 5.04/5.49 ( true = ifeq(true,true,leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1)),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2032.0.0','0.22.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1','L')]).
% 5.04/5.49 cnf('0.2032.0.2',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2032.0.1','0.5.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2032.0.3',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),star(X1)),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2032.0.2','0.2.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1.2','L')]).
% 5.04/5.49 cnf('0.2032.1.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),star(X1)),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.2032.0.3']),
% 5.04/5.49 [weight('<89,2031,421,[1,0,0,2]>')]).
% 5.04/5.49 cnf('0.2032.2.0',plain,
% 5.04/5.49 ( leq(multiplication(star(X1),star(X1)),star(X1)) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.2032.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_2024]).
% 5.04/5.49 cnf('0.2033.0.0',plain,
% 5.04/5.49 ( star(X1) = ifeq2(true,true,addition(star(X1),multiplication(star(X1),star(X1))),star(X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.66.2.0','0.2032.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.2033.0.1',plain,
% 5.04/5.49 ( star(X1) = addition(star(X1),multiplication(star(X1),star(X1))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2033.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2033.0.2',plain,
% 5.04/5.49 ( star(X1) = multiplication(star(X1),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2033.0.1','0.207.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2033.1.0',plain,
% 5.04/5.49 ( star(X1) = multiplication(star(X1),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.2033.0.2']),
% 5.04/5.49 [weight('<47,2032,66,[0,0,0,1]>')]).
% 5.04/5.49 cnf('0.2033.2.0',plain,
% 5.04/5.49 ( multiplication(star(X1),star(X1)) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.2033.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_2025]).
% 5.04/5.49 cnf('0.2034.0.0',plain,
% 5.04/5.49 ( true = ifeq(leq(addition(one,star(X1)),star(X1)),true,leq(star(star(X1)),star(X1)),true) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.1425.2.0','0.2033.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1.1.2','L')]).
% 5.04/5.49 cnf('0.2034.0.1',plain,
% 5.04/5.49 ( true = ifeq(leq(star(X1),star(X1)),true,leq(star(star(X1)),star(X1)),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2034.0.0','0.195.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1.1','L')]).
% 5.04/5.49 cnf('0.2034.0.2',plain,
% 5.04/5.49 ( true = ifeq(true,true,leq(star(star(X1)),star(X1)),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2034.0.1','0.22.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1','L')]).
% 5.04/5.49 cnf('0.2034.0.3',plain,
% 5.04/5.49 ( true = leq(star(star(X1)),star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2034.0.2','0.5.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2034.1.0',plain,
% 5.04/5.49 ( true = leq(star(star(X1)),star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.2034.0.3']),
% 5.04/5.49 [weight('<55,2033,1425,[0,0,0,4]>')]).
% 5.04/5.49 cnf('0.2034.2.0',plain,
% 5.04/5.49 ( leq(star(star(X1)),star(X1)) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.2034.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_2026]).
% 5.04/5.49 cnf('0.2035.0.0',plain,
% 5.04/5.49 ( star(X1) = ifeq2(true,true,addition(star(X1),star(star(X1))),star(X1)) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.66.2.0','0.2034.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.2035.0.1',plain,
% 5.04/5.49 ( star(X1) = addition(star(X1),star(star(X1))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2035.0.0','0.7.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2035.0.2',plain,
% 5.04/5.49 ( star(X1) = star(star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2035.0.1','0.220.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2035.1.0',plain,
% 5.04/5.49 ( star(X1) = star(star(X1)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.2035.0.2']),
% 5.04/5.49 [weight('<23,2034,66,[0,0,0,1]>')]).
% 5.04/5.49 cnf('0.2035.2.0',plain,
% 5.04/5.49 ( star(star(X1)) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.2035.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_2027]).
% 5.04/5.49 cnf('0.2037.0.0',plain,
% 5.04/5.49 ( multiplication(star(star(X1)),star(addition(X1,one))) = star(star(X1)) ),
% 5.04/5.49 inference(interreduction_right,[status(thm)],['0.1443.2.0'])).
% 5.04/5.49 cnf('0.2037.0.1',plain,
% 5.04/5.49 ( multiplication(star(X1),star(addition(X1,one))) = star(star(X1)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2037.0.0','0.2035.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.2037.0.2',plain,
% 5.04/5.49 ( multiplication(star(X1),star(addition(X1,one))) = star(X1) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2037.0.1','0.2035.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2037.1.0',plain,
% 5.04/5.49 ( multiplication(star(X1),star(addition(X1,one))) = star(X1) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.2037.0.2']),
% 5.04/5.49 [weight('<79,1443,2035,[0,0,0,0]>')]).
% 5.04/5.49 cnf('0.2037.2.0',plain,
% 5.04/5.49 ( multiplication(star(X1),star(addition(X1,one))) = star(X1) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.2037.1.0',theory(equality)]),
% 5.04/5.49 [u,rule_2029]).
% 5.04/5.49 cnf('0.2049.0.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(star(addition(X1,X2)))) = star(star(addition(X1,X2))) ),
% 5.04/5.49 inference(interreduction_right,[status(thm)],['0.1248.2.0'])).
% 5.04/5.49 cnf('0.2049.0.1',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(addition(X1,X2))) = star(star(addition(X1,X2))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2049.0.0','0.2035.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.2','L')]).
% 5.04/5.49 cnf('0.2049.0.2',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(addition(X1,X2))) = star(addition(X1,X2)) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.2049.0.1','0.2035.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.2049.1.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(addition(X1,X2))) = star(addition(X1,X2)) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.2049.0.2']),
% 5.04/5.49 [weight('<116,1248,2035,[0,0,0,0]>')]).
% 5.04/5.49 cnf('0.2049.2.0',plain,
% 5.04/5.49 ( multiplication(addition(X1,one),star(addition(X1,X2))) = star(addition(X1,X2)) ),
% 5.04/5.49 inference(orient,[status(thm)],['0.2049.1.0',theory(equality)]),
% 5.04/5.49 [u,rule_2041]).
% 5.04/5.49 cnf('0.5296.0.0',plain,
% 5.04/5.49 ( true = ifeq(leq(star(addition(X1,X2)),star(addition(X1,X2))),true,leq(multiplication(star(X1),multiplication(one,star(addition(X1,X2)))),star(addition(X1,X2))),true) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.2031.2.0','0.2049.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1.1','L')]).
% 5.04/5.49 cnf('0.5296.0.1',plain,
% 5.04/5.49 ( true = ifeq(true,true,leq(multiplication(star(X1),multiplication(one,star(addition(X1,X2)))),star(addition(X1,X2))),true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.5296.0.0','0.22.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1','L')]).
% 5.04/5.49 cnf('0.5296.0.2',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),multiplication(one,star(addition(X1,X2)))),star(addition(X1,X2))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.5296.0.1','0.5.2.0',theory(equality)]),
% 5.04/5.49 [pos('R','L')]).
% 5.04/5.49 cnf('0.5296.0.3',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),star(addition(X1,X2))),star(addition(X1,X2))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['0.5296.0.2','0.2.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1.2','L')]).
% 5.04/5.49 cnf('0.5296.1.0',plain,
% 5.04/5.49 ( true = leq(multiplication(star(X1),star(addition(X1,X2))),star(addition(X1,X2))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.5296.0.3']),
% 5.04/5.49 [weight('<181,2049,2031,[0,0,0,2]>')]).
% 5.04/5.49 cnf('0.5296.2.0',plain,
% 5.04/5.49 ( leq(multiplication(star(X1),star(addition(X1,X2))),star(addition(X1,X2))) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.5296.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_5280]).
% 5.04/5.49 cnf('0.5297.0.0',plain,
% 5.04/5.49 ( true = leq(star(X1),star(addition(X1,one))) ),
% 5.04/5.49 inference(cp,[status(thm)],['0.5296.2.0','0.2037.2.0',theory(equality)]),
% 5.04/5.49 [pos('L.1','L')]).
% 5.04/5.49 cnf('0.5297.1.0',plain,
% 5.04/5.49 ( true = leq(star(X1),star(addition(X1,one))) ),
% 5.04/5.49 inference(weigh,[status(thm)],['0.5297.0.0']),
% 5.04/5.49 [weight('<71,5296,2037,[1,0,0,1]>')]).
% 5.04/5.49 cnf('0.5297.2.0',plain,
% 5.04/5.49 ( leq(star(X1),star(addition(X1,one))) = true ),
% 5.04/5.49 inference(orient,[status(thm)],['0.5297.1.0',theory(equality)]),
% 5.04/5.49 [x,rule_5281]).
% 5.04/5.49 cnf('1.0.0.0',conjecture,
% 5.04/5.49 ( tuple(true,true) = tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) ),
% 5.04/5.49 file('/tmp/WALDMEISTER_4170_n032',conjecture_1)).
% 5.04/5.49 cnf('1.0.0.1',plain,
% 5.04/5.49 ( tuple(true,true) = tuple(true,leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['1.0.0.0','0.1432.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.1','L')]).
% 5.04/5.49 cnf('1.0.0.2',plain,
% 5.04/5.49 ( tuple(true,true) = tuple(true,leq(star(sK1_goals_X0),star(addition(sK1_goals_X0,one)))) ),
% 5.04/5.49 inference(reduction,[status(thm)],['1.0.0.1','0.14.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.2.2.1','L')]).
% 5.04/5.49 cnf('1.0.0.3',plain,
% 5.04/5.49 ( tuple(true,true) = tuple(true,true) ),
% 5.04/5.49 inference(reduction,[status(thm)],['1.0.0.2','0.5297.2.0',theory(equality)]),
% 5.04/5.49 [pos('R.2','L')]).
% 5.04/5.49 cnf('1.0.0.4',plain,
% 5.04/5.49 ( $true ),
% 5.04/5.49 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 5.04/5.49 [conjecture_1]).
% 5.04/5.49
% 5.04/5.49 Proved Goals:
% 5.04/5.49 No. 1: tuple(true,true) ?= tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) joined, current: tuple(true,true) = tuple(true,true)
% 5.04/5.49 1 goal was specified, which was proved.
% 5.04/5.49 % SZS output end CNFRefutation
% 5.04/5.49 #END OF PROOF
% 5.04/5.49
% 5.04/5.49 Problem WALDMEISTER_4170_n032
% 5.04/5.49 CPs.gen 1754964
% 5.04/5.49 CPs.reexp 0
% 5.04/5.49 Select 32332
% 5.04/5.49 R 5281
% 5.04/5.49 E 16
% 5.04/5.49 vsize 13.3M
% 5.04/5.49 rss 8.9M
% 5.04/5.49 process.time 4.577s
% 5.04/5.49 wallclock.time 4.623s
% 5.04/5.49 status S
% 5.04/5.49
% 5.04/5.49
% 5.04/5.49 Waldmeister states: Goal proved.
% 5.04/5.49 % SZS status Unsatisfiable
%------------------------------------------------------------------------------