TSTP Solution File: KLE145-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : KLE145-10 : 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 02:35:58 EDT 2022
% Result : Unsatisfiable 2.52s 2.98s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KLE145-10 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.10 % Command : woody %s
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Thu Jun 16 11:09:59 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.41/0.83 ********************************************************************************
% 0.41/0.83 * W A L D M E I S T E R \| \ / \|/ *
% 0.41/0.83 * |/ | \/ | *
% 0.41/0.83 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.41/0.83 * A. Jaeger and B. Loechner | | *
% 0.41/0.83 * <waldmeister@informatik.uni-kl.de> | *
% 0.41/0.83 ********************************************************************************
% 0.41/0.83
% 0.41/0.83
% 0.41/0.83 Goals:
% 0.41/0.83 ------
% 0.41/0.83
% 0.41/0.83 ( 1) star(strong_iteration(sK1_goals_X0)) ?=? strong_iteration(sK1_goals_X0)
% 0.41/0.83
% 0.41/0.83 Detected structure: Praeloop
% 0.41/0.83 ********************************************************************************
% 0.41/0.83 ****************************** COMPLETION - PROOF ******************************
% 0.41/0.83 ********************************************************************************
% 0.41/0.83
% 2.52/2.98 joined goal: 1 star(strong_iteration(sK1_goals_X0)) ?= strong_iteration(sK1_goals_X0) to strong_iteration(sK1_goals_X0)
% 2.52/2.98 goal joined
% 2.52/2.98 % SZS status Unsatisfiable
% 2.52/2.98 #START OF PROOF
% 2.52/2.98 % SZS output start CNFRefutation
% 2.52/2.98 cnf('0.1.0.0',axiom,
% 2.52/2.98 ( X1 = multiplication(X1,one) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.1.1.0',plain,
% 2.52/2.98 ( X1 = multiplication(X1,one) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 2.52/2.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.1.2.0',plain,
% 2.52/2.98 ( multiplication(X1,one) = X1 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_1]).
% 2.52/2.98 cnf('0.2.0.0',axiom,
% 2.52/2.98 ( X1 = multiplication(one,X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.2.1.0',plain,
% 2.52/2.98 ( X1 = multiplication(one,X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 2.52/2.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 2.52/2.98 cnf('0.2.2.0',plain,
% 2.52/2.98 ( multiplication(one,X1) = X1 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_2]).
% 2.52/2.98 cnf('0.3.0.0',axiom,
% 2.52/2.98 ( X1 = addition(X1,X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.3.1.0',plain,
% 2.52/2.98 ( X1 = addition(X1,X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 2.52/2.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 2.52/2.98 cnf('0.3.2.0',plain,
% 2.52/2.98 ( addition(X1,X1) = X1 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3]).
% 2.52/2.98 cnf('0.4.0.0',axiom,
% 2.52/2.98 ( X1 = addition(X1,zero) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.4.1.0',plain,
% 2.52/2.98 ( X1 = addition(X1,zero) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 2.52/2.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 2.52/2.98 cnf('0.4.2.0',plain,
% 2.52/2.98 ( addition(X1,zero) = X1 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_4]).
% 2.52/2.98 cnf('0.5.0.0',axiom,
% 2.52/2.98 ( X1 = ifeq(X2,X2,X1,X3) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.5.1.0',plain,
% 2.52/2.98 ( X1 = ifeq(X2,X2,X1,X3) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 2.52/2.98 [weight('<4,0,0,[0,0,0,5]>')]).
% 2.52/2.98 cnf('0.5.2.0',plain,
% 2.52/2.98 ( ifeq(X1,X1,X2,X3) = X2 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_5]).
% 2.52/2.98 cnf('0.6.0.0',axiom,
% 2.52/2.98 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.6.1.0',plain,
% 2.52/2.98 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.52/2.98 [weight('<5,0,0,[0,0,0,6]>')]).
% 2.52/2.98 cnf('0.6.2.0',plain,
% 2.52/2.98 ( ifeq2(X1,X1,X2,X3) = X2 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_6]).
% 2.52/2.98 cnf('0.7.0.0',axiom,
% 2.52/2.98 ( X1 = ifeq2(leq(X2,X1),true,addition(X2,X1),X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.7.1.0',plain,
% 2.52/2.98 ( X1 = ifeq2(leq(X2,X1),true,addition(X2,X1),X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.52/2.98 [weight('<6,0,0,[0,0,0,7]>')]).
% 2.52/2.98 cnf('0.7.2.0',plain,
% 2.52/2.98 ( ifeq2(leq(X1,X2),true,addition(X1,X2),X2) = X2 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_7]).
% 2.52/2.98 cnf('0.8.0.0',axiom,
% 2.52/2.98 ( X1 = ifeq3(X2,X2,X1,X3) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.8.1.0',plain,
% 2.52/2.98 ( X1 = ifeq3(X2,X2,X1,X3) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 2.52/2.98 [weight('<7,0,0,[0,0,0,8]>')]).
% 2.52/2.98 cnf('0.8.2.0',plain,
% 2.52/2.98 ( ifeq3(X1,X1,X2,X3) = X2 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_8]).
% 2.52/2.98 cnf('0.9.0.0',axiom,
% 2.52/2.98 ( multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.9.1.0',plain,
% 2.52/2.98 ( multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.52/2.98 [weight('<8,0,0,[0,0,0,9]>')]).
% 2.52/2.98 cnf('0.9.2.0',plain,
% 2.52/2.98 ( multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_9]).
% 2.52/2.98 cnf('0.10.0.0',axiom,
% 2.52/2.98 ( multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.10.1.0',plain,
% 2.52/2.98 ( multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.10.0.0']),
% 2.52/2.98 [weight('<9,0,0,[0,0,0,10]>')]).
% 2.52/2.98 cnf('0.10.2.0',plain,
% 2.52/2.98 ( addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_10]).
% 2.52/2.98 cnf('0.11.0.0',axiom,
% 2.52/2.98 ( multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.11.1.0',plain,
% 2.52/2.98 ( multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 2.52/2.98 [weight('<10,0,0,[0,0,0,11]>')]).
% 2.52/2.98 cnf('0.11.2.0',plain,
% 2.52/2.98 ( addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_11]).
% 2.52/2.98 cnf('0.12.0.0',axiom,
% 2.52/2.98 ( multiplication(zero,X1) = zero ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.12.1.0',plain,
% 2.52/2.98 ( multiplication(zero,X1) = zero ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 2.52/2.98 [weight('<11,0,0,[0,0,0,12]>')]).
% 2.52/2.98 cnf('0.12.2.0',plain,
% 2.52/2.98 ( multiplication(zero,X1) = zero ),
% 2.52/2.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_12]).
% 2.52/2.98 cnf('0.13.0.0',axiom,
% 2.52/2.98 ( addition(X1,X2) = addition(X2,X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.13.1.0',plain,
% 2.52/2.98 ( addition(X1,X2) = addition(X2,X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.13.0.0']),
% 2.52/2.98 [weight('<12,0,0,[0,0,0,13]>')]).
% 2.52/2.98 cnf('0.13.2.0',plain,
% 2.52/2.98 ( addition(X1,X2) = addition(X2,X1) ),
% 2.52/2.98 inference(activate,[status(thm)],['0.13.1.0']),
% 2.52/2.98 [equation_1]).
% 2.52/2.98 cnf('0.14.0.0',axiom,
% 2.52/2.98 ( addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.14.1.0',plain,
% 2.52/2.98 ( addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.14.0.0']),
% 2.52/2.98 [weight('<13,0,0,[0,0,0,14]>')]).
% 2.52/2.98 cnf('0.14.2.0',plain,
% 2.52/2.98 ( addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_13]).
% 2.52/2.98 cnf('0.15.0.0',axiom,
% 2.52/2.98 ( addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.15.1.0',plain,
% 2.52/2.98 ( addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.15.0.0']),
% 2.52/2.98 [weight('<14,0,0,[0,0,0,15]>')]).
% 2.52/2.98 cnf('0.15.1.1',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.15.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.15.2.0',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 2.52/2.98 [u,rule_14]).
% 2.52/2.98 cnf('0.16.0.0',axiom,
% 2.52/2.98 ( addition(star(X1),multiplication(strong_iteration(X1),zero)) = strong_iteration(X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.16.1.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(strong_iteration(X1),zero)) = strong_iteration(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.16.0.0']),
% 2.52/2.98 [weight('<15,0,0,[0,0,0,16]>')]).
% 2.52/2.98 cnf('0.16.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(strong_iteration(X1),zero)) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_15]).
% 2.52/2.98 cnf('0.17.0.0',axiom,
% 2.52/2.98 ( addition(one,multiplication(X1,star(X1))) = star(X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.17.1.0',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,star(X1))) = star(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.17.0.0']),
% 2.52/2.98 [weight('<16,0,0,[0,0,0,17]>')]).
% 2.52/2.98 cnf('0.17.2.0',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,star(X1))) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_16]).
% 2.52/2.98 cnf('0.18.0.0',axiom,
% 2.52/2.98 ( addition(one,multiplication(star(X1),X1)) = star(X1) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.18.1.0',plain,
% 2.52/2.98 ( addition(one,multiplication(star(X1),X1)) = star(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.18.0.0']),
% 2.52/2.98 [weight('<17,0,0,[0,0,0,18]>')]).
% 2.52/2.98 cnf('0.18.2.0',plain,
% 2.52/2.98 ( addition(one,multiplication(star(X1),X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_17]).
% 2.52/2.98 cnf('0.19.0.0',axiom,
% 2.52/2.98 ( true = ifeq(leq(X1,addition(multiplication(X2,X1),X3)),true,leq(X1,multiplication(strong_iteration(X2),X3)),true) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.19.1.0',plain,
% 2.52/2.98 ( true = ifeq(leq(X1,addition(multiplication(X2,X1),X3)),true,leq(X1,multiplication(strong_iteration(X2),X3)),true) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.19.0.0']),
% 2.52/2.98 [weight('<18,0,0,[0,0,0,19]>')]).
% 2.52/2.98 cnf('0.19.2.0',plain,
% 2.52/2.98 ( ifeq(leq(X1,addition(multiplication(X2,X1),X3)),true,leq(X1,multiplication(strong_iteration(X2),X3)),true) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_18]).
% 2.52/2.98 cnf('0.20.0.0',axiom,
% 2.52/2.98 ( true = ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.20.1.0',plain,
% 2.52/2.98 ( true = ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.20.0.0']),
% 2.52/2.98 [weight('<19,0,0,[0,0,0,20]>')]).
% 2.52/2.98 cnf('0.20.2.0',plain,
% 2.52/2.98 ( ifeq(leq(addition(multiplication(X1,X2),X3),X2),true,leq(multiplication(star(X1),X3),X2),true) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_19]).
% 2.52/2.98 cnf('0.22.0.0',axiom,
% 2.52/2.98 ( true = ifeq3(addition(X1,X2),X2,leq(X1,X2),true) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032')).
% 2.52/2.98 cnf('0.22.1.0',plain,
% 2.52/2.98 ( true = ifeq3(addition(X1,X2),X2,leq(X1,X2),true) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.22.0.0']),
% 2.52/2.98 [weight('<21,0,0,[0,0,0,22]>')]).
% 2.52/2.98 cnf('0.22.2.0',plain,
% 2.52/2.98 ( ifeq3(addition(X1,X2),X2,leq(X1,X2),true) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_21]).
% 2.52/2.98 cnf('0.23.0.0',plain,
% 2.52/2.98 ( strong_iteration(zero) = addition(one,zero) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.15.2.0','0.12.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.23.0.1',plain,
% 2.52/2.98 ( strong_iteration(zero) = one ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.23.0.0','0.4.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.23.1.0',plain,
% 2.52/2.98 ( strong_iteration(zero) = one ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.23.0.1']),
% 2.52/2.98 [weight('<11,15,12,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.23.2.0',plain,
% 2.52/2.98 ( strong_iteration(zero) = one ),
% 2.52/2.98 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_22]).
% 2.52/2.98 cnf('0.25.0.0',plain,
% 2.52/2.98 ( addition(zero,X1) = X1 ),
% 2.52/2.98 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.25.1.0',plain,
% 2.52/2.98 ( addition(zero,X1) = X1 ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.25.0.0']),
% 2.52/2.98 [weight('<19,13,4,[1,0,0,0]>')]).
% 2.52/2.98 cnf('0.25.2.0',plain,
% 2.52/2.98 ( addition(zero,X1) = X1 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_24]).
% 2.52/2.98 cnf('0.26.0.0',plain,
% 2.52/2.98 ( true = ifeq3(X1,X1,leq(X1,X1),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.22.2.0','0.3.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.26.0.1',plain,
% 2.52/2.98 ( true = leq(X1,X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.26.0.0','0.8.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.26.1.0',plain,
% 2.52/2.98 ( true = leq(X1,X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.26.0.1']),
% 2.52/2.98 [weight('<19,22,3,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.26.2.0',plain,
% 2.52/2.98 ( leq(X1,X1) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_25]).
% 2.52/2.98 cnf('0.32.0.0',plain,
% 2.52/2.98 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.32.1.0',plain,
% 2.52/2.98 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.32.0.0']),
% 2.52/2.98 [weight('<53,14,3,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.32.2.0',plain,
% 2.52/2.98 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_31]).
% 2.52/2.98 cnf('0.33.0.0',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,strong_iteration(X1))) = addition(one,strong_iteration(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.32.2.0','0.15.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.33.0.1',plain,
% 2.52/2.98 ( strong_iteration(X1) = addition(one,strong_iteration(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.33.0.0','0.15.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.33.1.0',plain,
% 2.52/2.98 ( strong_iteration(X1) = addition(one,strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.33.0.1']),
% 2.52/2.98 [weight('<34,32,15,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.33.2.0',plain,
% 2.52/2.98 ( addition(one,strong_iteration(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_32]).
% 2.52/2.98 cnf('0.35.0.0',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,star(X1))) = addition(one,star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.32.2.0','0.17.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.35.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(one,star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.35.0.0','0.17.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.35.1.0',plain,
% 2.52/2.98 ( star(X1) = addition(one,star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.35.0.1']),
% 2.52/2.98 [weight('<34,32,17,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.35.2.0',plain,
% 2.52/2.98 ( addition(one,star(X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_34]).
% 2.52/2.98 cnf('0.37.0.0',plain,
% 2.52/2.98 ( true = ifeq3(addition(X1,X2),addition(X1,X2),leq(X1,addition(X1,X2)),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.22.2.0','0.32.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.37.0.1',plain,
% 2.52/2.98 ( true = leq(X1,addition(X1,X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.37.0.0','0.8.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.37.1.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X1,X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.37.0.1']),
% 2.52/2.98 [weight('<41,32,22,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.37.2.0',plain,
% 2.52/2.98 ( leq(X1,addition(X1,X2)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_36]).
% 2.52/2.98 cnf('0.38.0.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.37.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.38.1.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.38.0.0']),
% 2.52/2.98 [weight('<41,37,13,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.38.2.0',plain,
% 2.52/2.98 ( leq(X1,addition(X2,X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_37]).
% 2.52/2.98 cnf('0.40.0.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(strong_iteration(X1),zero)) = addition(star(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.32.2.0','0.16.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.40.0.1',plain,
% 2.52/2.98 ( strong_iteration(X1) = addition(star(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.40.0.0','0.16.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.40.1.0',plain,
% 2.52/2.98 ( strong_iteration(X1) = addition(star(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.40.0.1']),
% 2.52/2.98 [weight('<47,32,16,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.40.1.1',plain,
% 2.52/2.98 ( strong_iteration(X1) = addition(strong_iteration(X1),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.40.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.40.2.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),star(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_39]).
% 2.52/2.98 cnf('0.42.0.0',plain,
% 2.52/2.98 ( true = ifeq(true,true,leq(X1,multiplication(strong_iteration(X2),X1)),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.19.2.0','0.38.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.42.0.1',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(strong_iteration(X2),X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.42.0.0','0.5.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.42.1.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(strong_iteration(X2),X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.42.0.1']),
% 2.52/2.98 [weight('<55,38,19,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.42.2.0',plain,
% 2.52/2.98 ( leq(X1,multiplication(strong_iteration(X2),X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_41]).
% 2.52/2.98 cnf('0.45.0.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,addition(X3,X1))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.38.2.0','0.14.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.45.1.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,addition(X3,X1))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.45.0.0']),
% 2.52/2.98 [weight('<71,38,14,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.45.2.0',plain,
% 2.52/2.98 ( leq(X1,addition(X2,addition(X3,X1))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_44]).
% 2.52/2.98 cnf('0.46.0.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,strong_iteration(X1)),strong_iteration(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.38.2.0','0.15.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.46.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,strong_iteration(X1)),strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.46.0.0']),
% 2.52/2.98 [weight('<71,38,15,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.46.2.0',plain,
% 2.52/2.98 ( leq(multiplication(X1,strong_iteration(X1)),strong_iteration(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_45]).
% 2.52/2.98 cnf('0.48.0.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,star(X1)),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.38.2.0','0.17.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.48.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,star(X1)),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.48.0.0']),
% 2.52/2.98 [weight('<71,38,17,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.48.2.0',plain,
% 2.52/2.98 ( leq(multiplication(X1,star(X1)),star(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_47]).
% 2.52/2.98 cnf('0.49.0.0',plain,
% 2.52/2.98 ( true = leq(multiplication(star(X1),X1),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.38.2.0','0.18.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.49.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(star(X1),X1),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.49.0.0']),
% 2.52/2.98 [weight('<71,38,18,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.49.2.0',plain,
% 2.52/2.98 ( leq(multiplication(star(X1),X1),star(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_48]).
% 2.52/2.98 cnf('0.51.0.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(addition(X2,X1),X3)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.45.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.51.0.1',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,addition(X1,X3))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.51.0.0','0.14.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.2','L')]).
% 2.52/2.98 cnf('0.51.1.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,addition(X1,X3))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.51.0.1']),
% 2.52/2.98 [weight('<71,45,13,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.51.2.0',plain,
% 2.52/2.98 ( leq(X1,addition(X2,addition(X1,X3))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_50]).
% 2.52/2.98 cnf('0.53.0.0',plain,
% 2.52/2.98 ( true = leq(one,addition(X1,star(X2))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.51.2.0','0.17.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.2','L')]).
% 2.52/2.98 cnf('0.53.1.0',plain,
% 2.52/2.98 ( true = leq(one,addition(X1,star(X2))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.53.0.0']),
% 2.52/2.98 [weight('<55,51,17,[1,0,0,4]>')]).
% 2.52/2.98 cnf('0.53.2.0',plain,
% 2.52/2.98 ( leq(one,addition(X1,star(X2))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_52]).
% 2.52/2.98 cnf('0.62.0.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),X2) = ifeq2(true,true,addition(X2,multiplication(strong_iteration(X1),X2)),multiplication(strong_iteration(X1),X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.42.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.62.0.1',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),X2) = addition(X2,multiplication(strong_iteration(X1),X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.62.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.62.1.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),X2) = addition(X2,multiplication(strong_iteration(X1),X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.62.0.1']),
% 2.52/2.98 [weight('<76,42,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.62.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(strong_iteration(X2),X1)) = multiplication(strong_iteration(X2),X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_61]).
% 2.52/2.98 cnf('0.64.0.0',plain,
% 2.52/2.98 ( addition(X1,star(X2)) = ifeq2(true,true,addition(one,addition(X1,star(X2))),addition(X1,star(X2))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.53.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.64.0.1',plain,
% 2.52/2.98 ( addition(X1,star(X2)) = addition(one,addition(X1,star(X2))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.64.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.64.1.0',plain,
% 2.52/2.98 ( addition(X1,star(X2)) = addition(one,addition(X1,star(X2))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.64.0.1']),
% 2.52/2.98 [weight('<76,53,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.64.2.0',plain,
% 2.52/2.98 ( addition(one,addition(X1,star(X2))) = addition(X1,star(X2)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_63]).
% 2.52/2.98 cnf('0.72.0.0',plain,
% 2.52/2.98 ( star(X1) = ifeq2(true,true,addition(multiplication(X1,star(X1)),star(X1)),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.48.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.72.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(X1,star(X1)),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.72.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.72.1.0',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(X1,star(X1)),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.72.0.1']),
% 2.52/2.98 [weight('<79,48,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.72.1.1',plain,
% 2.52/2.98 ( star(X1) = addition(star(X1),multiplication(X1,star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.72.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.72.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.72.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_71]).
% 2.52/2.98 cnf('0.74.0.0',plain,
% 2.52/2.98 ( star(X1) = ifeq2(true,true,addition(multiplication(star(X1),X1),star(X1)),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.49.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.74.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(star(X1),X1),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.74.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.74.1.0',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(star(X1),X1),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.74.0.1']),
% 2.52/2.98 [weight('<79,49,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.74.1.1',plain,
% 2.52/2.98 ( star(X1) = addition(star(X1),multiplication(star(X1),X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.74.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.74.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(star(X1),X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.74.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_73]).
% 2.52/2.98 cnf('0.82.0.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,multiplication(strong_iteration(X3),X1))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.51.2.0','0.62.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.2','L')]).
% 2.52/2.98 cnf('0.82.1.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,multiplication(strong_iteration(X3),X1))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.82.0.0']),
% 2.52/2.98 [weight('<89,62,51,[0,0,0,4]>')]).
% 2.52/2.98 cnf('0.82.2.0',plain,
% 2.52/2.98 ( leq(X1,addition(X2,multiplication(strong_iteration(X3),X1))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_81]).
% 2.52/2.98 cnf('0.87.0.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(X2,strong_iteration(X3)),X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.82.2.0','0.11.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.87.1.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(X2,strong_iteration(X3)),X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.87.0.0']),
% 2.52/2.98 [weight('<89,82,11,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.87.2.0',plain,
% 2.52/2.98 ( leq(X1,multiplication(addition(X2,strong_iteration(X3)),X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_86]).
% 2.52/2.98 cnf('0.88.0.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(X2,one),X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.87.2.0','0.23.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.1.2','L')]).
% 2.52/2.98 cnf('0.88.1.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(X2,one),X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.88.0.0']),
% 2.52/2.98 [weight('<71,87,23,[1,0,0,5]>')]).
% 2.52/2.98 cnf('0.88.2.0',plain,
% 2.52/2.98 ( leq(X1,multiplication(addition(X2,one),X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_87]).
% 2.52/2.98 cnf('0.89.0.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(one,X2),X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.88.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.1','L')]).
% 2.52/2.98 cnf('0.89.1.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(one,X2),X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.89.0.0']),
% 2.52/2.98 [weight('<71,88,13,[1,0,0,3]>')]).
% 2.52/2.98 cnf('0.89.2.0',plain,
% 2.52/2.98 ( leq(X1,multiplication(addition(one,X2),X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_88]).
% 2.52/2.98 cnf('0.90.0.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(star(X2),X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.89.2.0','0.17.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.1','L')]).
% 2.52/2.98 cnf('0.90.1.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(star(X2),X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.90.0.0']),
% 2.52/2.98 [weight('<55,89,17,[1,0,0,3]>')]).
% 2.52/2.98 cnf('0.90.2.0',plain,
% 2.52/2.98 ( leq(X1,multiplication(star(X2),X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_89]).
% 2.52/2.98 cnf('0.91.0.0',plain,
% 2.52/2.98 ( multiplication(star(X1),X2) = ifeq2(true,true,addition(X2,multiplication(star(X1),X2)),multiplication(star(X1),X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.90.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.91.0.1',plain,
% 2.52/2.98 ( multiplication(star(X1),X2) = addition(X2,multiplication(star(X1),X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.91.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.91.1.0',plain,
% 2.52/2.98 ( multiplication(star(X1),X2) = addition(X2,multiplication(star(X1),X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.91.0.1']),
% 2.52/2.98 [weight('<76,90,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.91.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(star(X2),X1)) = multiplication(star(X2),X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_90]).
% 2.52/2.98 cnf('0.113.0.0',plain,
% 2.52/2.98 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.113.1.0',plain,
% 2.52/2.98 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.113.0.0']),
% 2.52/2.98 [weight('<?,10,1,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.113.2.0',plain,
% 2.52/2.98 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,X2)) ),
% 2.52/2.98 inference(activate,[status(thm)],['0.113.1.0']),
% 2.52/2.98 [equation_2]).
% 2.52/2.98 cnf('0.135.0.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(star(X1),X1)) = star(X1) ),
% 2.52/2.98 inference(interreduction_right,[status(thm)],['0.74.2.0'])).
% 2.52/2.98 cnf('0.135.1.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(star(X1),X1)) = star(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.135.0.0']),
% 2.52/2.98 [weight('<79,74,113,[0,0,0,0]>')]).
% 2.52/2.98 cnf('0.135.1.1',plain,
% 2.52/2.98 ( multiplication(star(X1),addition(one,X1)) = star(X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.135.1.0','0.113.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','R')]).
% 2.52/2.98 cnf('0.135.2.0',plain,
% 2.52/2.98 ( multiplication(star(X1),addition(one,X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.135.1.1',theory(equality)]),
% 2.52/2.98 [u,rule_133]).
% 2.52/2.98 cnf('0.136.0.0',plain,
% 2.52/2.98 ( multiplication(star(X1),addition(one,X1)) = addition(addition(one,X1),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.91.2.0','0.135.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.136.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(addition(one,X1),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.136.0.0','0.135.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.136.0.2',plain,
% 2.52/2.98 ( star(X1) = addition(one,addition(X1,star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.136.0.1','0.14.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.136.0.3',plain,
% 2.52/2.98 ( star(X1) = addition(X1,star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.136.0.2','0.64.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.136.1.0',plain,
% 2.52/2.98 ( star(X1) = addition(X1,star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.136.0.3']),
% 2.52/2.98 [weight('<34,135,91,[0,0,0,2]>')]).
% 2.52/2.98 cnf('0.136.2.0',plain,
% 2.52/2.98 ( addition(X1,star(X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_134]).
% 2.52/2.98 cnf('0.139.0.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,star(X1))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.51.2.0','0.136.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.2','L')]).
% 2.52/2.98 cnf('0.139.1.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(X2,star(X1))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.139.0.0']),
% 2.52/2.98 [weight('<55,136,51,[0,0,0,4]>')]).
% 2.52/2.98 cnf('0.139.2.0',plain,
% 2.52/2.98 ( leq(X1,addition(X2,star(X1))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_137]).
% 2.52/2.98 cnf('0.144.0.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(star(X1),X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.139.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.144.1.0',plain,
% 2.52/2.98 ( true = leq(X1,addition(star(X1),X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.144.0.0']),
% 2.52/2.98 [weight('<55,139,13,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.144.2.0',plain,
% 2.52/2.98 ( leq(X1,addition(star(X1),X2)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_142]).
% 2.52/2.98 cnf('0.168.0.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(star(X2),star(X1))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.144.2.0','0.91.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.168.1.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(star(X2),star(X1))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.168.0.0']),
% 2.52/2.98 [weight('<71,144,91,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.168.2.0',plain,
% 2.52/2.98 ( leq(X1,multiplication(star(X2),star(X1))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_166]).
% 2.52/2.98 cnf('0.194.0.0',plain,
% 2.52/2.98 ( addition(X1,star(X2)) = ifeq2(true,true,addition(X2,addition(X1,star(X2))),addition(X1,star(X2))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.139.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.194.0.1',plain,
% 2.52/2.98 ( addition(X1,star(X2)) = addition(X2,addition(X1,star(X2))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.194.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.194.1.0',plain,
% 2.52/2.98 ( addition(X1,star(X2)) = addition(X2,addition(X1,star(X2))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.194.0.1']),
% 2.52/2.98 [weight('<76,139,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.194.2.0',plain,
% 2.52/2.98 ( addition(X1,addition(X2,star(X1))) = addition(X2,star(X1)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_192]).
% 2.52/2.98 cnf('0.214.0.0',plain,
% 2.52/2.98 ( multiplication(X1,addition(X2,one)) = addition(multiplication(X1,X2),X1) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.214.1.0',plain,
% 2.52/2.98 ( multiplication(X1,addition(X2,one)) = addition(multiplication(X1,X2),X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.214.0.0']),
% 2.52/2.98 [weight('<?,10,1,[1,0,0,4]>')]).
% 2.52/2.98 cnf('0.214.1.1',plain,
% 2.52/2.98 ( multiplication(X1,addition(X2,one)) = addition(X1,multiplication(X1,X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.214.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.214.2.0',plain,
% 2.52/2.98 ( multiplication(X1,addition(X2,one)) = addition(X1,multiplication(X1,X2)) ),
% 2.52/2.98 inference(activate,[status(thm)],['0.214.1.1']),
% 2.52/2.98 [equation_3]).
% 2.52/2.98 cnf('0.230.0.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(strong_iteration(X2),X3),X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.87.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.1','L')]).
% 2.52/2.98 cnf('0.230.1.0',plain,
% 2.52/2.98 ( true = leq(X1,multiplication(addition(strong_iteration(X2),X3),X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.230.0.0']),
% 2.52/2.98 [weight('<89,87,13,[1,0,0,3]>')]).
% 2.52/2.98 cnf('0.230.2.0',plain,
% 2.52/2.98 ( leq(X1,multiplication(addition(strong_iteration(X2),X3),X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.230.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_227]).
% 2.52/2.98 cnf('0.415.0.0',plain,
% 2.52/2.98 ( multiplication(star(X1),star(X2)) = ifeq2(true,true,addition(X2,multiplication(star(X1),star(X2))),multiplication(star(X1),star(X2))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.168.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.415.0.1',plain,
% 2.52/2.98 ( multiplication(star(X1),star(X2)) = addition(X2,multiplication(star(X1),star(X2))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.415.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.415.1.0',plain,
% 2.52/2.98 ( multiplication(star(X1),star(X2)) = addition(X2,multiplication(star(X1),star(X2))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.415.0.1']),
% 2.52/2.98 [weight('<103,168,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.415.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(star(X2),star(X1))) = multiplication(star(X2),star(X1)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.415.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_410]).
% 2.52/2.98 cnf('0.416.0.0',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(X1,X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.11.2.0','0.2.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.416.1.0',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(X1,X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.416.0.0']),
% 2.52/2.98 [weight('<?,11,2,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.416.2.0',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),X2) = addition(X2,multiplication(X1,X2)) ),
% 2.52/2.98 inference(activate,[status(thm)],['0.416.1.0']),
% 2.52/2.98 [equation_6]).
% 2.52/2.98 cnf('0.417.0.0',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),X1) = multiplication(X1,addition(one,X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.416.2.0','0.113.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','R')]).
% 2.52/2.98 cnf('0.417.1.0',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),X1) = multiplication(X1,addition(one,X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.417.0.0']),
% 2.52/2.98 [weight('<65,416,113,[1,1,1,0]>')]).
% 2.52/2.98 cnf('0.417.2.0',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),X1) = multiplication(X1,addition(one,X1)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.417.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_411]).
% 2.52/2.98 cnf('0.421.0.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 2.52/2.98 inference(interreduction_right,[status(thm)],['0.72.2.0'])).
% 2.52/2.98 cnf('0.421.1.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X1,star(X1))) = star(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.421.0.0']),
% 2.52/2.98 [weight('<79,72,416,[0,0,0,0]>')]).
% 2.52/2.98 cnf('0.421.1.1',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),star(X1)) = star(X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.421.1.0','0.416.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','R')]).
% 2.52/2.98 cnf('0.421.2.0',plain,
% 2.52/2.98 ( multiplication(addition(one,X1),star(X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.421.1.1',theory(equality)]),
% 2.52/2.98 [u,rule_415]).
% 2.52/2.98 cnf('0.422.0.0',plain,
% 2.52/2.98 ( star(X1) = multiplication(addition(X1,one),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.421.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.422.1.0',plain,
% 2.52/2.98 ( star(X1) = multiplication(addition(X1,one),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.422.0.0']),
% 2.52/2.98 [weight('<62,421,13,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.422.2.0',plain,
% 2.52/2.98 ( multiplication(addition(X1,one),star(X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.422.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_416]).
% 2.52/2.98 cnf('0.512.0.0',plain,
% 2.52/2.98 ( X1 = ifeq2(leq(X2,X1),true,addition(X1,X2),X1) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.3','L')]).
% 2.52/2.98 cnf('0.512.1.0',plain,
% 2.52/2.98 ( X1 = ifeq2(leq(X2,X1),true,addition(X1,X2),X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.512.0.0']),
% 2.52/2.98 [weight('<109,13,7,[0,0,0,5]>')]).
% 2.52/2.98 cnf('0.512.2.0',plain,
% 2.52/2.98 ( ifeq2(leq(X1,X2),true,addition(X2,X1),X2) = X2 ),
% 2.52/2.98 inference(orient,[status(thm)],['0.512.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_506]).
% 2.52/2.98 cnf('0.514.0.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.37.2.0','0.10.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.514.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.514.0.0']),
% 2.52/2.98 [weight('<109,37,10,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.514.2.0',plain,
% 2.52/2.98 ( leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.514.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_508]).
% 2.52/2.98 cnf('0.518.0.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,X2),multiplication(X1,star(X2))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.514.2.0','0.136.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.2','L')]).
% 2.52/2.98 cnf('0.518.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,X2),multiplication(X1,star(X2))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.518.0.0']),
% 2.52/2.98 [weight('<89,514,136,[1,0,0,6]>')]).
% 2.52/2.98 cnf('0.518.2.0',plain,
% 2.52/2.98 ( leq(multiplication(X1,X2),multiplication(X1,star(X2))) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.518.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_511]).
% 2.52/2.98 cnf('0.520.0.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,addition(one,X1)),multiplication(addition(one,X1),star(X1))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.518.2.0','0.417.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.520.0.1',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,addition(one,X1)),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.520.0.0','0.421.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.2','L')]).
% 2.52/2.98 cnf('0.520.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,addition(one,X1)),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.520.0.1']),
% 2.52/2.98 [weight('<89,518,417,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.520.2.0',plain,
% 2.52/2.98 ( leq(multiplication(X1,addition(one,X1)),star(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.520.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_513]).
% 2.52/2.98 cnf('0.523.0.0',plain,
% 2.52/2.98 ( true = leq(addition(X1,multiplication(X1,X1)),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.520.2.0','0.113.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.523.1.0',plain,
% 2.52/2.98 ( true = leq(addition(X1,multiplication(X1,X1)),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.523.0.0']),
% 2.52/2.98 [weight('<89,520,113,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.523.2.0',plain,
% 2.52/2.98 ( leq(addition(X1,multiplication(X1,X1)),star(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.523.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_516]).
% 2.52/2.98 cnf('0.524.0.0',plain,
% 2.52/2.98 ( star(X1) = ifeq2(true,true,addition(addition(X1,multiplication(X1,X1)),star(X1)),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.523.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.524.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(addition(X1,multiplication(X1,X1)),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.524.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.524.0.2',plain,
% 2.52/2.98 ( star(X1) = addition(X1,addition(multiplication(X1,X1),star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.524.0.1','0.14.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.524.0.3',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(X1,X1),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.524.0.2','0.194.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.524.1.0',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(X1,X1),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.524.0.3']),
% 2.52/2.98 [weight('<62,523,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.524.1.1',plain,
% 2.52/2.98 ( star(X1) = addition(star(X1),multiplication(X1,X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.524.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.524.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X1,X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.524.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_517]).
% 2.52/2.98 cnf('0.546.0.0',plain,
% 2.52/2.98 ( star(X1) = ifeq2(true,true,addition(multiplication(X1,addition(one,X1)),star(X1)),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.520.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.546.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(X1,addition(one,X1)),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.546.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.546.1.0',plain,
% 2.52/2.98 ( star(X1) = addition(multiplication(X1,addition(one,X1)),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.546.0.1']),
% 2.52/2.98 [weight('<98,520,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.546.1.1',plain,
% 2.52/2.98 ( star(X1) = addition(star(X1),multiplication(X1,addition(one,X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.546.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.546.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X1,addition(one,X1))) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.546.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_539]).
% 2.52/2.98 cnf('0.719.0.0',plain,
% 2.52/2.98 ( multiplication(addition(multiplication(X1,X2),X3),X4) = addition(multiplication(X1,multiplication(X2,X4)),multiplication(X3,X4)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.11.2.0','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.719.1.0',plain,
% 2.52/2.98 ( multiplication(addition(multiplication(X1,X2),X3),X4) = addition(multiplication(X1,multiplication(X2,X4)),multiplication(X3,X4)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.719.0.0']),
% 2.52/2.98 [weight('<?,11,9,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.719.2.0',plain,
% 2.52/2.98 ( addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.719.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_712]).
% 2.52/2.98 cnf('0.820.0.0',plain,
% 2.52/2.98 ( multiplication(addition(X1,multiplication(X2,X3)),X4) = addition(multiplication(X1,X4),multiplication(X2,multiplication(X3,X4))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.11.2.0','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.820.1.0',plain,
% 2.52/2.98 ( multiplication(addition(X1,multiplication(X2,X3)),X4) = addition(multiplication(X1,X4),multiplication(X2,multiplication(X3,X4))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.820.0.0']),
% 2.52/2.98 [weight('<?,11,9,[1,0,0,4]>')]).
% 2.52/2.98 cnf('0.820.2.0',plain,
% 2.52/2.98 ( addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.820.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_813]).
% 2.52/2.98 cnf('0.1004.0.0',plain,
% 2.52/2.98 ( addition(one,addition(multiplication(X1,strong_iteration(X1)),X2)) = addition(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.14.2.0','0.15.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.1004.1.0',plain,
% 2.52/2.98 ( addition(one,addition(multiplication(X1,strong_iteration(X1)),X2)) = addition(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1004.0.0']),
% 2.52/2.98 [weight('<116,15,14,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.1004.2.0',plain,
% 2.52/2.98 ( addition(one,addition(multiplication(X1,strong_iteration(X1)),X2)) = addition(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1004.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_997]).
% 2.52/2.98 cnf('0.1006.0.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),star(X2)) = addition(multiplication(X1,strong_iteration(X1)),star(X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1004.2.0','0.64.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.1006.1.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),star(X2)) = addition(multiplication(X1,strong_iteration(X1)),star(X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1006.0.0']),
% 2.52/2.98 [weight('<103,1004,64,[1,0,0,0]>')]).
% 2.52/2.98 cnf('0.1006.2.0',plain,
% 2.52/2.98 ( addition(multiplication(X1,strong_iteration(X1)),star(X2)) = addition(strong_iteration(X1),star(X2)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1006.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_999]).
% 2.52/2.98 cnf('0.1008.0.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),star(X2)) = addition(star(X2),multiplication(X1,strong_iteration(X1))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1006.2.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.1008.1.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),star(X2)) = addition(star(X2),multiplication(X1,strong_iteration(X1))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1008.0.0']),
% 2.52/2.98 [weight('<103,1006,13,[1,0,0,0]>')]).
% 2.52/2.98 cnf('0.1008.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X2,strong_iteration(X2))) = addition(strong_iteration(X2),star(X1)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1008.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_1001]).
% 2.52/2.98 cnf('0.1020.0.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(X2,star(X2)))) = multiplication(X1,star(X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.113.2.0','0.17.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.1020.1.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(X2,star(X2)))) = multiplication(X1,star(X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1020.0.0']),
% 2.52/2.98 [weight('<116,113,17,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.1020.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(X2,star(X2)))) = multiplication(X1,star(X2)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1020.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1013]).
% 2.52/2.98 cnf('0.1021.0.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(star(X2),X2))) = multiplication(X1,star(X2)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.113.2.0','0.18.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.1021.1.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(star(X2),X2))) = multiplication(X1,star(X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1021.0.0']),
% 2.52/2.98 [weight('<116,113,18,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.1021.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(star(X2),X2))) = multiplication(X1,star(X2)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1021.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1014]).
% 2.52/2.98 cnf('0.1023.0.0',plain,
% 2.52/2.98 ( multiplication(multiplication(X1,X2),star(X2)) = multiplication(addition(X1,multiplication(multiplication(X1,X2),star(X2))),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1021.2.0','0.820.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.1023.0.1',plain,
% 2.52/2.98 ( multiplication(X1,multiplication(X2,star(X2))) = multiplication(addition(X1,multiplication(multiplication(X1,X2),star(X2))),X2) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1023.0.0','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.1023.0.2',plain,
% 2.52/2.98 ( multiplication(X1,multiplication(X2,star(X2))) = multiplication(addition(X1,multiplication(X1,multiplication(X2,star(X2)))),X2) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1023.0.1','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1.2','L')]).
% 2.52/2.98 cnf('0.1023.0.3',plain,
% 2.52/2.98 ( multiplication(X1,multiplication(X2,star(X2))) = multiplication(multiplication(X1,star(X2)),X2) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1023.0.2','0.1020.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1','L')]).
% 2.52/2.98 cnf('0.1023.0.4',plain,
% 2.52/2.98 ( multiplication(X1,multiplication(X2,star(X2))) = multiplication(X1,multiplication(star(X2),X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1023.0.3','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.1023.1.0',plain,
% 2.52/2.98 ( multiplication(X1,multiplication(X2,star(X2))) = multiplication(X1,multiplication(star(X2),X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1023.0.4']),
% 2.52/2.98 [weight('<90,1021,820,[1,0,0,0]>')]).
% 2.52/2.98 cnf('0.1023.2.0',plain,
% 2.52/2.98 ( multiplication(X1,multiplication(star(X2),X2)) = multiplication(X1,multiplication(X2,star(X2))) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1023.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_1016]).
% 2.52/2.98 cnf('0.1024.0.0',plain,
% 2.52/2.98 ( multiplication(one,multiplication(X1,star(X1))) = multiplication(star(X1),X1) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1023.2.0','0.2.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.1024.0.1',plain,
% 2.52/2.98 ( multiplication(X1,star(X1)) = multiplication(star(X1),X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1024.0.0','0.2.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.1024.1.0',plain,
% 2.52/2.98 ( multiplication(X1,star(X1)) = multiplication(star(X1),X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1024.0.1']),
% 2.52/2.98 [weight('<44,1023,2,[1,0,0,0]>')]).
% 2.52/2.98 cnf('0.1024.2.0',plain,
% 2.52/2.98 ( multiplication(star(X1),X1) = multiplication(X1,star(X1)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1024.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_1017]).
% 2.52/2.98 cnf('0.1025.0.0',plain,
% 2.52/2.98 ( multiplication(star(X1),multiplication(X1,X2)) = multiplication(multiplication(X1,star(X1)),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.9.2.0','0.1024.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.1025.0.1',plain,
% 2.52/2.98 ( multiplication(star(X1),multiplication(X1,X2)) = multiplication(X1,multiplication(star(X1),X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1025.0.0','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.1025.1.0',plain,
% 2.52/2.98 ( multiplication(star(X1),multiplication(X1,X2)) = multiplication(X1,multiplication(star(X1),X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1025.0.1']),
% 2.52/2.98 [weight('<90,1024,9,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.1025.2.0',plain,
% 2.52/2.98 ( multiplication(star(X1),multiplication(X1,X2)) = multiplication(X1,multiplication(star(X1),X2)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1025.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1018]).
% 2.52/2.98 cnf('0.1253.0.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(multiplication(X2,star(X2)),X1)) = multiplication(star(X2),X1) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.416.2.0','0.17.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.1253.0.1',plain,
% 2.52/2.98 ( addition(X1,multiplication(X2,multiplication(star(X2),X1))) = multiplication(star(X2),X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1253.0.0','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.1253.1.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X2,multiplication(star(X2),X1))) = multiplication(star(X2),X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1253.0.1']),
% 2.52/2.98 [weight('<116,416,17,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.1253.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X2,multiplication(star(X2),X1))) = multiplication(star(X2),X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1253.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1246]).
% 2.52/2.98 cnf('0.1273.0.0',plain,
% 2.52/2.98 ( addition(star(X1),addition(multiplication(X1,X1),X2)) = addition(star(X1),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.14.2.0','0.524.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.1273.1.0',plain,
% 2.52/2.98 ( addition(star(X1),addition(multiplication(X1,X1),X2)) = addition(star(X1),X2) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1273.0.0']),
% 2.52/2.98 [weight('<116,524,14,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.1273.2.0',plain,
% 2.52/2.98 ( addition(star(X1),addition(multiplication(X1,X1),X2)) = addition(star(X1),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1273.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1266]).
% 2.52/2.98 cnf('0.1325.0.0',plain,
% 2.52/2.98 ( strong_iteration(multiplication(X1,X2)) = addition(one,multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.15.2.0','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.1325.1.0',plain,
% 2.52/2.98 ( strong_iteration(multiplication(X1,X2)) = addition(one,multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1325.0.0']),
% 2.52/2.98 [weight('<?,15,9,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.1325.2.0',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) = strong_iteration(multiplication(X1,X2)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1325.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_1318]).
% 2.52/2.98 cnf('0.1326.0.0',plain,
% 2.52/2.98 ( strong_iteration(multiplication(X1,zero)) = addition(one,multiplication(X1,zero)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1325.2.0','0.12.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.2','L')]).
% 2.52/2.98 cnf('0.1326.1.0',plain,
% 2.52/2.98 ( strong_iteration(multiplication(X1,zero)) = addition(one,multiplication(X1,zero)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1326.0.0']),
% 2.52/2.98 [weight('<59,1325,12,[1,0,0,4]>')]).
% 2.52/2.98 cnf('0.1326.2.0',plain,
% 2.52/2.98 ( addition(one,multiplication(X1,zero)) = strong_iteration(multiplication(X1,zero)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1326.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_1319]).
% 2.52/2.98 cnf('0.1327.0.0',plain,
% 2.52/2.98 ( star(multiplication(X1,zero)) = addition(star(multiplication(X1,zero)),multiplication(multiplication(X1,zero),strong_iteration(multiplication(X1,zero)))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.546.2.0','0.1326.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.2','L')]).
% 2.52/2.98 cnf('0.1327.0.1',plain,
% 2.52/2.98 ( star(multiplication(X1,zero)) = addition(strong_iteration(multiplication(X1,zero)),star(multiplication(X1,zero))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1327.0.0','0.1008.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.1327.0.2',plain,
% 2.52/2.98 ( star(multiplication(X1,zero)) = strong_iteration(multiplication(X1,zero)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1327.0.1','0.40.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.1327.1.0',plain,
% 2.52/2.98 ( star(multiplication(X1,zero)) = strong_iteration(multiplication(X1,zero)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1327.0.2']),
% 2.52/2.98 [weight('<44,1326,546,[0,0,0,5]>')]).
% 2.52/2.98 cnf('0.1327.2.0',plain,
% 2.52/2.98 ( star(multiplication(X1,zero)) = strong_iteration(multiplication(X1,zero)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1327.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1320]).
% 2.52/2.98 cnf('0.1360.0.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(X2,zero))) = multiplication(X1,strong_iteration(multiplication(X2,zero))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.113.2.0','0.1326.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.1360.1.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(X2,zero))) = multiplication(X1,strong_iteration(multiplication(X2,zero))) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1360.0.0']),
% 2.52/2.98 [weight('<111,1326,113,[0,0,0,2]>')]).
% 2.52/2.98 cnf('0.1360.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(X1,multiplication(X2,zero))) = multiplication(X1,strong_iteration(multiplication(X2,zero))) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1360.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1353]).
% 2.52/2.98 cnf('0.1404.0.0',plain,
% 2.52/2.98 ( multiplication(addition(multiplication(X1,zero),X2),X3) = addition(multiplication(X1,zero),multiplication(X2,X3)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.719.2.0','0.12.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1.2','L')]).
% 2.52/2.98 cnf('0.1404.1.0',plain,
% 2.52/2.98 ( multiplication(addition(multiplication(X1,zero),X2),X3) = addition(multiplication(X1,zero),multiplication(X2,X3)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1404.0.0']),
% 2.52/2.98 [weight('<119,719,12,[1,0,0,3]>')]).
% 2.52/2.98 cnf('0.1404.2.0',plain,
% 2.52/2.98 ( multiplication(addition(multiplication(X1,zero),X2),X3) = addition(multiplication(X1,zero),multiplication(X2,X3)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1404.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1397]).
% 2.52/2.98 cnf('0.1405.0.0',plain,
% 2.52/2.98 ( multiplication(addition(X1,multiplication(X2,zero)),X3) = addition(multiplication(X1,X3),multiplication(X2,zero)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.820.2.0','0.12.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.2','L')]).
% 2.52/2.98 cnf('0.1405.1.0',plain,
% 2.52/2.98 ( multiplication(addition(X1,multiplication(X2,zero)),X3) = addition(multiplication(X1,X3),multiplication(X2,zero)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1405.0.0']),
% 2.52/2.98 [weight('<119,820,12,[1,0,0,6]>')]).
% 2.52/2.98 cnf('0.1405.2.0',plain,
% 2.52/2.98 ( multiplication(addition(X1,multiplication(X2,zero)),X3) = addition(multiplication(X1,X3),multiplication(X2,zero)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1405.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1398]).
% 2.52/2.98 cnf('0.1527.0.0',plain,
% 2.52/2.98 ( addition(star(X1),addition(multiplication(strong_iteration(X1),zero),X2)) = addition(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.14.2.0','0.16.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.1527.1.0',plain,
% 2.52/2.98 ( addition(star(X1),addition(multiplication(strong_iteration(X1),zero),X2)) = addition(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1527.0.0']),
% 2.52/2.98 [weight('<?,16,14,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.1527.2.0',plain,
% 2.52/2.98 ( addition(star(X1),addition(multiplication(strong_iteration(X1),zero),X2)) = addition(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1527.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_1519]).
% 2.52/2.98 cnf('0.1528.0.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(strong_iteration(X1),X2)) = addition(star(X1),multiplication(strong_iteration(X1),addition(zero,X2))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1527.2.0','0.10.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.1528.0.1',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(strong_iteration(X1),X2)) = addition(star(X1),multiplication(strong_iteration(X1),X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1528.0.0','0.25.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.2.2','L')]).
% 2.52/2.98 cnf('0.1528.1.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(strong_iteration(X1),X2)) = addition(star(X1),multiplication(strong_iteration(X1),X2)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.1528.0.1']),
% 2.52/2.98 [weight('<119,1527,10,[1,0,0,3]>')]).
% 2.52/2.98 cnf('0.1528.1.1',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),addition(X2,one)) = addition(star(X1),multiplication(strong_iteration(X1),X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.1528.1.0','0.214.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','R')]).
% 2.52/2.98 cnf('0.1528.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(strong_iteration(X1),X2)) = multiplication(strong_iteration(X1),addition(X2,one)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.1528.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_1520]).
% 2.52/2.98 cnf('0.2739.0.0',plain,
% 2.52/2.98 ( true = ifeq(leq(addition(multiplication(X1,X2),one),X2),true,leq(star(X1),X2),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.20.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.3.1','L')]).
% 2.52/2.98 cnf('0.2739.1.0',plain,
% 2.52/2.98 ( true = ifeq(leq(addition(multiplication(X1,X2),one),X2),true,leq(star(X1),X2),true) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.2739.0.0']),
% 2.52/2.98 [weight('<?,20,1,[1,0,0,10]>')]).
% 2.52/2.98 cnf('0.2739.1.1',plain,
% 2.52/2.98 ( true = ifeq(leq(addition(one,multiplication(X1,X2)),X2),true,leq(star(X1),X2),true) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.2739.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1.1','L')]).
% 2.52/2.98 cnf('0.2739.2.0',plain,
% 2.52/2.98 ( ifeq(leq(addition(one,multiplication(X1,X2)),X2),true,leq(star(X1),X2),true) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.2739.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_2731]).
% 2.52/2.98 cnf('0.2941.0.0',plain,
% 2.52/2.98 ( true = ifeq(leq(multiplication(X1,X2),X2),true,leq(multiplication(star(X1),multiplication(X1,X2)),X2),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1.1','L')]).
% 2.52/2.98 cnf('0.2941.1.0',plain,
% 2.52/2.98 ( true = ifeq(leq(multiplication(X1,X2),X2),true,leq(multiplication(star(X1),multiplication(X1,X2)),X2),true) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.2941.0.0']),
% 2.52/2.98 [weight('<?,20,3,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.2941.1.1',plain,
% 2.52/2.98 ( true = ifeq(leq(multiplication(X1,X2),X2),true,leq(multiplication(X1,multiplication(star(X1),X2)),X2),true) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.2941.1.0','0.1025.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.3.1','L')]).
% 2.52/2.98 cnf('0.2941.2.0',plain,
% 2.52/2.98 ( ifeq(leq(multiplication(X1,X2),X2),true,leq(multiplication(X1,multiplication(star(X1),X2)),X2),true) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.2941.1.1',theory(equality)]),
% 2.52/2.98 [x,rule_2933]).
% 2.52/2.98 cnf('0.3308.0.0',plain,
% 2.52/2.98 ( true = ifeq(true,true,leq(multiplication(X1,multiplication(star(X1),strong_iteration(X1))),strong_iteration(X1)),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.2941.2.0','0.46.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3308.0.1',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,multiplication(star(X1),strong_iteration(X1))),strong_iteration(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3308.0.0','0.5.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3308.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(X1,multiplication(star(X1),strong_iteration(X1))),strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3308.0.1']),
% 2.52/2.98 [weight('<131,2941,46,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.3308.2.0',plain,
% 2.52/2.98 ( leq(multiplication(X1,multiplication(star(X1),strong_iteration(X1))),strong_iteration(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3308.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3300]).
% 2.52/2.98 cnf('0.3309.0.0',plain,
% 2.52/2.98 ( strong_iteration(X1) = ifeq2(true,true,addition(strong_iteration(X1),multiplication(X1,multiplication(star(X1),strong_iteration(X1)))),strong_iteration(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.512.2.0','0.3308.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3309.0.1',plain,
% 2.52/2.98 ( strong_iteration(X1) = addition(strong_iteration(X1),multiplication(X1,multiplication(star(X1),strong_iteration(X1)))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3309.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3309.0.2',plain,
% 2.52/2.98 ( strong_iteration(X1) = multiplication(star(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3309.0.1','0.1253.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3309.1.0',plain,
% 2.52/2.98 ( strong_iteration(X1) = multiplication(star(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3309.0.2']),
% 2.52/2.98 [weight('<47,3308,512,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3309.2.0',plain,
% 2.52/2.98 ( multiplication(star(X1),strong_iteration(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3309.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3301]).
% 2.52/2.98 cnf('0.3318.0.0',plain,
% 2.52/2.98 ( multiplication(star(X1),multiplication(strong_iteration(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.9.2.0','0.3309.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3318.1.0',plain,
% 2.52/2.98 ( multiplication(star(X1),multiplication(strong_iteration(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3318.0.0']),
% 2.52/2.98 [weight('<95,3309,9,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3318.2.0',plain,
% 2.52/2.98 ( multiplication(star(X1),multiplication(strong_iteration(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3318.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_3310]).
% 2.52/2.98 cnf('0.3321.0.0',plain,
% 2.52/2.98 ( multiplication(star(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = addition(star(X1),multiplication(strong_iteration(X1),zero)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1360.2.0','0.3318.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.3321.0.1',plain,
% 2.52/2.98 ( multiplication(star(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = multiplication(strong_iteration(X1),addition(zero,one)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3321.0.0','0.1528.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3321.0.2',plain,
% 2.52/2.98 ( multiplication(star(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = multiplication(strong_iteration(X1),one) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3321.0.1','0.25.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.2','L')]).
% 2.52/2.98 cnf('0.3321.0.3',plain,
% 2.52/2.98 ( multiplication(star(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = strong_iteration(X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3321.0.2','0.1.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3321.1.0',plain,
% 2.52/2.98 ( multiplication(star(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = strong_iteration(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3321.0.3']),
% 2.52/2.98 [weight('<98,3318,1360,[0,0,0,2]>')]).
% 2.52/2.98 cnf('0.3321.2.0',plain,
% 2.52/2.98 ( multiplication(star(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3321.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_3313]).
% 2.52/2.98 cnf('0.3345.0.0',plain,
% 2.52/2.98 ( true = ifeq(leq(multiplication(addition(X1,X2),X3),X3),true,leq(multiplication(star(X1),multiplication(X2,X3)),X3),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.20.2.0','0.11.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1.1','L')]).
% 2.52/2.98 cnf('0.3345.1.0',plain,
% 2.52/2.98 ( true = ifeq(leq(multiplication(addition(X1,X2),X3),X3),true,leq(multiplication(star(X1),multiplication(X2,X3)),X3),true) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3345.0.0']),
% 2.52/2.98 [weight('<?,20,11,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.3345.2.0',plain,
% 2.52/2.98 ( ifeq(leq(multiplication(addition(X1,X2),X3),X3),true,leq(multiplication(star(X1),multiplication(X2,X3)),X3),true) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3345.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3337]).
% 2.52/2.98 cnf('0.3346.0.0',plain,
% 2.52/2.98 ( true = ifeq(leq(star(X1),star(X1)),true,leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1)),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.3345.2.0','0.422.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1.1','L')]).
% 2.52/2.98 cnf('0.3346.0.1',plain,
% 2.52/2.98 ( true = ifeq(true,true,leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1)),true) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3346.0.0','0.26.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1','L')]).
% 2.52/2.98 cnf('0.3346.0.2',plain,
% 2.52/2.98 ( true = leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3346.0.1','0.5.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3346.0.3',plain,
% 2.52/2.98 ( true = leq(multiplication(star(X1),star(X1)),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3346.0.2','0.2.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1.2','L')]).
% 2.52/2.98 cnf('0.3346.1.0',plain,
% 2.52/2.98 ( true = leq(multiplication(star(X1),star(X1)),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3346.0.3']),
% 2.52/2.98 [weight('<89,3345,422,[1,0,0,2]>')]).
% 2.52/2.98 cnf('0.3346.2.0',plain,
% 2.52/2.98 ( leq(multiplication(star(X1),star(X1)),star(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3346.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3338]).
% 2.52/2.98 cnf('0.3347.0.0',plain,
% 2.52/2.98 ( star(X1) = ifeq2(true,true,addition(star(X1),multiplication(star(X1),star(X1))),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.512.2.0','0.3346.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3347.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(star(X1),multiplication(star(X1),star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3347.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3347.0.2',plain,
% 2.52/2.98 ( star(X1) = multiplication(star(X1),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3347.0.1','0.91.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3347.1.0',plain,
% 2.52/2.98 ( star(X1) = multiplication(star(X1),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3347.0.2']),
% 2.52/2.98 [weight('<47,3346,512,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3347.2.0',plain,
% 2.52/2.98 ( multiplication(star(X1),star(X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3347.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3339]).
% 2.52/2.98 cnf('0.3348.0.0',plain,
% 2.52/2.98 ( true = ifeq(leq(addition(one,star(X1)),star(X1)),true,leq(star(star(X1)),star(X1)),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.2739.2.0','0.3347.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1.1.2','L')]).
% 2.52/2.98 cnf('0.3348.0.1',plain,
% 2.52/2.98 ( true = ifeq(leq(star(X1),star(X1)),true,leq(star(star(X1)),star(X1)),true) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3348.0.0','0.35.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1.1','L')]).
% 2.52/2.98 cnf('0.3348.0.2',plain,
% 2.52/2.98 ( true = ifeq(true,true,leq(star(star(X1)),star(X1)),true) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3348.0.1','0.26.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1','L')]).
% 2.52/2.98 cnf('0.3348.0.3',plain,
% 2.52/2.98 ( true = leq(star(star(X1)),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3348.0.2','0.5.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3348.1.0',plain,
% 2.52/2.98 ( true = leq(star(star(X1)),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3348.0.3']),
% 2.52/2.98 [weight('<55,3347,2739,[0,0,0,4]>')]).
% 2.52/2.98 cnf('0.3348.2.0',plain,
% 2.52/2.98 ( leq(star(star(X1)),star(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3348.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3340]).
% 2.52/2.98 cnf('0.3349.0.0',plain,
% 2.52/2.98 ( star(X1) = ifeq2(true,true,addition(star(X1),star(star(X1))),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.512.2.0','0.3348.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3349.0.1',plain,
% 2.52/2.98 ( star(X1) = addition(star(X1),star(star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3349.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3349.0.2',plain,
% 2.52/2.98 ( star(X1) = star(star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3349.0.1','0.136.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3349.1.0',plain,
% 2.52/2.98 ( star(X1) = star(star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3349.0.2']),
% 2.52/2.98 [weight('<23,3348,512,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3349.2.0',plain,
% 2.52/2.98 ( star(star(X1)) = star(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3349.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3341]).
% 2.52/2.98 cnf('0.3736.0.0',plain,
% 2.52/2.98 ( multiplication(addition(strong_iteration(X1),X2),X3) = ifeq2(true,true,addition(X3,multiplication(addition(strong_iteration(X1),X2),X3)),multiplication(addition(strong_iteration(X1),X2),X3)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.7.2.0','0.230.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3736.0.1',plain,
% 2.52/2.98 ( multiplication(addition(strong_iteration(X1),X2),X3) = addition(X3,multiplication(addition(strong_iteration(X1),X2),X3)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3736.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3736.1.0',plain,
% 2.52/2.98 ( multiplication(addition(strong_iteration(X1),X2),X3) = addition(X3,multiplication(addition(strong_iteration(X1),X2),X3)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3736.0.1']),
% 2.52/2.98 [weight('<134,230,7,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3736.2.0',plain,
% 2.52/2.98 ( addition(X1,multiplication(addition(strong_iteration(X2),X3),X1)) = multiplication(addition(strong_iteration(X2),X3),X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3736.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3728]).
% 2.52/2.98 cnf('0.3826.0.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X2,X1)) = addition(star(X1),multiplication(addition(X1,X2),X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1273.2.0','0.11.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.3826.1.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(X2,X1)) = addition(star(X1),multiplication(addition(X1,X2),X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3826.0.0']),
% 2.52/2.98 [weight('<134,1273,11,[1,0,0,3]>')]).
% 2.52/2.98 cnf('0.3826.2.0',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(addition(X1,X2),X1)) = addition(star(X1),multiplication(X2,X1)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3826.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3818]).
% 2.52/2.98 cnf('0.3827.0.0',plain,
% 2.52/2.98 ( addition(star(star(X1)),multiplication(addition(multiplication(strong_iteration(X1),zero),X2),star(X1))) = addition(star(star(X1)),multiplication(addition(strong_iteration(X1),X2),star(X1))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.3826.2.0','0.1527.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2.1','L')]).
% 2.52/2.98 cnf('0.3827.0.1',plain,
% 2.52/2.98 ( addition(star(X1),multiplication(addition(multiplication(strong_iteration(X1),zero),X2),star(X1))) = addition(star(star(X1)),multiplication(addition(strong_iteration(X1),X2),star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3827.0.0','0.3349.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3827.0.2',plain,
% 2.52/2.98 ( addition(star(X1),addition(multiplication(strong_iteration(X1),zero),multiplication(X2,star(X1)))) = addition(star(star(X1)),multiplication(addition(strong_iteration(X1),X2),star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3827.0.1','0.1404.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.3827.0.3',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(X2,star(X1))) = addition(star(star(X1)),multiplication(addition(strong_iteration(X1),X2),star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3827.0.2','0.1527.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.3827.0.4',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(X2,star(X1))) = addition(star(X1),multiplication(addition(strong_iteration(X1),X2),star(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3827.0.3','0.3349.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1','L')]).
% 2.52/2.98 cnf('0.3827.0.5',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(X2,star(X1))) = multiplication(addition(strong_iteration(X1),X2),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3827.0.4','0.3736.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3827.1.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(X2,star(X1))) = multiplication(addition(strong_iteration(X1),X2),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3827.0.5']),
% 2.52/2.98 [weight('<119,3826,1527,[1,0,0,4]>')]).
% 2.52/2.98 cnf('0.3827.2.0',plain,
% 2.52/2.98 ( multiplication(addition(strong_iteration(X1),X2),star(X1)) = addition(strong_iteration(X1),multiplication(X2,star(X1))) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3827.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3819]).
% 2.52/2.98 cnf('0.3828.0.0',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),multiplication(zero,star(X1))) = multiplication(strong_iteration(X1),star(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.3827.2.0','0.4.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3828.0.1',plain,
% 2.52/2.98 ( addition(strong_iteration(X1),zero) = multiplication(strong_iteration(X1),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3828.0.0','0.12.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.3828.0.2',plain,
% 2.52/2.98 ( strong_iteration(X1) = multiplication(strong_iteration(X1),star(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3828.0.1','0.4.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.3828.1.0',plain,
% 2.52/2.98 ( strong_iteration(X1) = multiplication(strong_iteration(X1),star(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3828.0.2']),
% 2.52/2.98 [weight('<47,3827,4,[1,0,0,1]>')]).
% 2.52/2.98 cnf('0.3828.2.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),star(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3828.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3820]).
% 2.52/2.98 cnf('0.3829.0.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.9.2.0','0.3828.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3829.1.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3829.0.0']),
% 2.52/2.98 [weight('<95,3828,9,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3829.2.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3829.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_3821]).
% 2.52/2.98 cnf('0.3840.0.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = multiplication(strong_iteration(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.3829.2.0','0.3321.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.3840.1.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = multiplication(strong_iteration(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3840.0.0']),
% 2.52/2.98 [weight('<125,3829,3321,[1,0,0,3]>')]).
% 2.52/2.98 cnf('0.3840.2.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = multiplication(strong_iteration(X1),strong_iteration(X1)) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3840.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_3832]).
% 2.52/2.98 cnf('0.3958.0.0',plain,
% 2.52/2.98 ( addition(multiplication(star(X1),X2),multiplication(strong_iteration(X1),zero)) = multiplication(multiplication(strong_iteration(X1),addition(zero,one)),X2) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.1405.2.0','0.1528.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3958.0.1',plain,
% 2.52/2.98 ( addition(multiplication(star(X1),X2),multiplication(strong_iteration(X1),zero)) = multiplication(strong_iteration(X1),multiplication(addition(zero,one),X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3958.0.0','0.9.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3958.0.2',plain,
% 2.52/2.98 ( addition(multiplication(star(X1),X2),multiplication(strong_iteration(X1),zero)) = multiplication(strong_iteration(X1),multiplication(one,X2)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3958.0.1','0.25.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.2.1','L')]).
% 2.52/2.98 cnf('0.3958.0.3',plain,
% 2.52/2.98 ( addition(multiplication(star(X1),X2),multiplication(strong_iteration(X1),zero)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3958.0.2','0.2.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.2','L')]).
% 2.52/2.98 cnf('0.3958.1.0',plain,
% 2.52/2.98 ( addition(multiplication(star(X1),X2),multiplication(strong_iteration(X1),zero)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3958.0.3']),
% 2.52/2.98 [weight('<139,1528,1405,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3958.1.1',plain,
% 2.52/2.98 ( addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3958.1.0','0.13.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.3958.2.0',plain,
% 2.52/2.98 ( addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3958.1.1',theory(equality)]),
% 2.52/2.98 [u,rule_3950]).
% 2.52/2.98 cnf('0.3959.0.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),star(multiplication(strong_iteration(X1),zero))) = multiplication(star(X1),star(multiplication(strong_iteration(X1),zero))) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.3958.2.0','0.415.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.3959.0.1',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) = multiplication(star(X1),star(multiplication(strong_iteration(X1),zero))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3959.0.0','0.1327.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.2','L')]).
% 2.52/2.98 cnf('0.3959.0.2',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(X1)) = multiplication(star(X1),star(multiplication(strong_iteration(X1),zero))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3959.0.1','0.3840.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('0.3959.0.3',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(X1)) = multiplication(star(X1),strong_iteration(multiplication(strong_iteration(X1),zero))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3959.0.2','0.1327.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.2','L')]).
% 2.52/2.98 cnf('0.3959.0.4',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3959.0.3','0.3321.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3959.1.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3959.0.4']),
% 2.52/2.98 [weight('<47,3958,415,[1,0,0,0]>')]).
% 2.52/2.98 cnf('0.3959.2.0',plain,
% 2.52/2.98 ( multiplication(strong_iteration(X1),strong_iteration(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3959.1.0',theory(equality)]),
% 2.52/2.98 [u,rule_3951]).
% 2.52/2.98 cnf('0.3960.0.0',plain,
% 2.52/2.98 ( true = ifeq(leq(addition(one,strong_iteration(X1)),strong_iteration(X1)),true,leq(star(strong_iteration(X1)),strong_iteration(X1)),true) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.2739.2.0','0.3959.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1.1.2','L')]).
% 2.52/2.98 cnf('0.3960.0.1',plain,
% 2.52/2.98 ( true = ifeq(leq(strong_iteration(X1),strong_iteration(X1)),true,leq(star(strong_iteration(X1)),strong_iteration(X1)),true) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3960.0.0','0.33.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1.1','L')]).
% 2.52/2.98 cnf('0.3960.0.2',plain,
% 2.52/2.98 ( true = ifeq(true,true,leq(star(strong_iteration(X1)),strong_iteration(X1)),true) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3960.0.1','0.26.2.0',theory(equality)]),
% 2.52/2.98 [pos('R.1','L')]).
% 2.52/2.98 cnf('0.3960.0.3',plain,
% 2.52/2.98 ( true = leq(star(strong_iteration(X1)),strong_iteration(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3960.0.2','0.5.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3960.1.0',plain,
% 2.52/2.98 ( true = leq(star(strong_iteration(X1)),strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3960.0.3']),
% 2.52/2.98 [weight('<55,3959,2739,[0,0,0,4]>')]).
% 2.52/2.98 cnf('0.3960.2.0',plain,
% 2.52/2.98 ( leq(star(strong_iteration(X1)),strong_iteration(X1)) = true ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3960.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3952]).
% 2.52/2.98 cnf('0.3961.0.0',plain,
% 2.52/2.98 ( strong_iteration(X1) = ifeq2(true,true,addition(strong_iteration(X1),star(strong_iteration(X1))),strong_iteration(X1)) ),
% 2.52/2.98 inference(cp,[status(thm)],['0.512.2.0','0.3960.2.0',theory(equality)]),
% 2.52/2.98 [pos('L.1','L')]).
% 2.52/2.98 cnf('0.3961.0.1',plain,
% 2.52/2.98 ( strong_iteration(X1) = addition(strong_iteration(X1),star(strong_iteration(X1))) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3961.0.0','0.6.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3961.0.2',plain,
% 2.52/2.98 ( strong_iteration(X1) = star(strong_iteration(X1)) ),
% 2.52/2.98 inference(reduction,[status(thm)],['0.3961.0.1','0.136.2.0',theory(equality)]),
% 2.52/2.98 [pos('R','L')]).
% 2.52/2.98 cnf('0.3961.1.0',plain,
% 2.52/2.98 ( strong_iteration(X1) = star(strong_iteration(X1)) ),
% 2.52/2.98 inference(weigh,[status(thm)],['0.3961.0.2']),
% 2.52/2.98 [weight('<23,3960,512,[0,0,0,1]>')]).
% 2.52/2.98 cnf('0.3961.2.0',plain,
% 2.52/2.98 ( star(strong_iteration(X1)) = strong_iteration(X1) ),
% 2.52/2.98 inference(orient,[status(thm)],['0.3961.1.0',theory(equality)]),
% 2.52/2.98 [x,rule_3953]).
% 2.52/2.98 cnf('1.0.0.0',conjecture,
% 2.52/2.98 ( star(strong_iteration(sK1_goals_X0)) = strong_iteration(sK1_goals_X0) ),
% 2.52/2.98 file('/tmp/WALDMEISTER_11156_n032',conjecture_1)).
% 2.52/2.98 cnf('1.0.0.1',plain,
% 2.52/2.98 ( strong_iteration(sK1_goals_X0) = strong_iteration(sK1_goals_X0) ),
% 2.52/2.98 inference(reduction,[status(thm)],['1.0.0.0','0.3961.2.0',theory(equality)]),
% 2.52/2.98 [pos('L','L')]).
% 2.52/2.98 cnf('1.0.0.2',plain,
% 2.52/2.98 ( $true ),
% 2.52/2.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 2.52/2.98 [conjecture_1]).
% 2.52/2.98
% 2.52/2.98 Proved Goals:
% 2.52/2.98 No. 1: star(strong_iteration(sK1_goals_X0)) ?= strong_iteration(sK1_goals_X0) joined, current: strong_iteration(sK1_goals_X0) = strong_iteration(sK1_goals_X0)
% 2.52/2.98 1 goal was specified, which was proved.
% 2.52/2.98 % SZS output end CNFRefutation
% 2.52/2.98 #END OF PROOF
% 2.52/2.98
% 2.52/2.98 Problem WALDMEISTER_11156_n032
% 2.52/2.98 CPs.gen 1086829
% 2.52/2.98 CPs.reexp 0
% 2.52/2.98 Select 18958
% 2.52/2.98 R 3953
% 2.52/2.98 E 8
% 2.52/2.98 vsize 10.6M
% 2.52/2.98 rss 6.2M
% 2.52/2.98 process.time 2.149s
% 2.52/2.98 wallclock.time 2.150s
% 2.52/2.98 status S
% 2.52/2.98
% 2.52/2.98
% 2.52/2.98 Waldmeister states: Goal proved.
% 2.52/2.98 % SZS status Unsatisfiable
%------------------------------------------------------------------------------