TSTP Solution File: KLE084-10 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : KLE084-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 02:35:42 EDT 2022
% Result : Unsatisfiable 5.35s 5.73s
% Output : CNFRefutation 5.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KLE084-10 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : woody %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 10:21:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.01 * |/ | \/ | *
% 0.61/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.01 * A. Jaeger and B. Loechner | | *
% 0.61/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Goals:
% 0.61/1.01 ------
% 0.61/1.01
% 0.61/1.01 ( 1) domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))) ?=? domain(multiplication(sK2_goals_X0,sK1_goals_X1))
% 0.61/1.01
% 0.61/1.01 Detected structure: Praeloop
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 5.35/5.73 joined goal: 1 domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))) ?= domain(multiplication(sK2_goals_X0,sK1_goals_X1)) to domain(multiplication(sK2_goals_X0,sK1_goals_X1))
% 5.35/5.73 goal joined
% 5.35/5.73 % SZS status Unsatisfiable
% 5.35/5.73 #START OF PROOF
% 5.35/5.73 % SZS output start CNFRefutation
% 5.35/5.73 cnf('0.1.0.0',axiom,
% 5.35/5.73 ( X1 = multiplication(X1,one) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.1.1.0',plain,
% 5.35/5.73 ( X1 = multiplication(X1,one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.1.0.0']),
% 5.35/5.73 [weight('<0,0,0,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.1.2.0',plain,
% 5.35/5.73 ( multiplication(X1,one) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_1]).
% 5.35/5.73 cnf('0.2.0.0',axiom,
% 5.35/5.73 ( X1 = multiplication(one,X1) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.2.1.0',plain,
% 5.35/5.73 ( X1 = multiplication(one,X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.2.0.0']),
% 5.35/5.73 [weight('<1,0,0,[0,0,0,2]>')]).
% 5.35/5.73 cnf('0.2.2.0',plain,
% 5.35/5.73 ( multiplication(one,X1) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_2]).
% 5.35/5.73 cnf('0.3.0.0',axiom,
% 5.35/5.73 ( X1 = addition(X1,X1) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.3.1.0',plain,
% 5.35/5.73 ( X1 = addition(X1,X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.3.0.0']),
% 5.35/5.73 [weight('<2,0,0,[0,0,0,3]>')]).
% 5.35/5.73 cnf('0.3.2.0',plain,
% 5.35/5.73 ( addition(X1,X1) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_3]).
% 5.35/5.73 cnf('0.4.0.0',axiom,
% 5.35/5.73 ( X1 = addition(X1,zero) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.4.1.0',plain,
% 5.35/5.73 ( X1 = addition(X1,zero) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.4.0.0']),
% 5.35/5.73 [weight('<3,0,0,[0,0,0,4]>')]).
% 5.35/5.73 cnf('0.4.2.0',plain,
% 5.35/5.73 ( addition(X1,zero) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_4]).
% 5.35/5.73 cnf('0.5.0.0',axiom,
% 5.35/5.73 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.5.1.0',plain,
% 5.35/5.73 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.5.0.0']),
% 5.35/5.73 [weight('<4,0,0,[0,0,0,5]>')]).
% 5.35/5.73 cnf('0.5.2.0',plain,
% 5.35/5.73 ( ifeq2(X1,X1,X2,X3) = X2 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_5]).
% 5.35/5.73 cnf('0.6.0.0',axiom,
% 5.35/5.73 ( X1 = ifeq(X2,X2,X1,X3) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.6.1.0',plain,
% 5.35/5.73 ( X1 = ifeq(X2,X2,X1,X3) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.6.0.0']),
% 5.35/5.73 [weight('<5,0,0,[0,0,0,6]>')]).
% 5.35/5.73 cnf('0.6.2.0',plain,
% 5.35/5.73 ( ifeq(X1,X1,X2,X3) = X2 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_6]).
% 5.35/5.73 cnf('0.7.0.0',axiom,
% 5.35/5.73 ( X1 = ifeq(leq(X2,X1),true,addition(X2,X1),X1) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.7.1.0',plain,
% 5.35/5.73 ( X1 = ifeq(leq(X2,X1),true,addition(X2,X1),X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.7.0.0']),
% 5.35/5.73 [weight('<6,0,0,[0,0,0,7]>')]).
% 5.35/5.73 cnf('0.7.2.0',plain,
% 5.35/5.73 ( ifeq(leq(X1,X2),true,addition(X1,X2),X2) = X2 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_7]).
% 5.35/5.73 cnf('0.8.0.0',axiom,
% 5.35/5.73 ( multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.8.1.0',plain,
% 5.35/5.73 ( multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.8.0.0']),
% 5.35/5.73 [weight('<7,0,0,[0,0,0,8]>')]).
% 5.35/5.73 cnf('0.8.2.0',plain,
% 5.35/5.73 ( multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_8]).
% 5.35/5.73 cnf('0.9.0.0',axiom,
% 5.35/5.73 ( multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.9.1.0',plain,
% 5.35/5.73 ( multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.9.0.0']),
% 5.35/5.73 [weight('<8,0,0,[0,0,0,9]>')]).
% 5.35/5.73 cnf('0.9.2.0',plain,
% 5.35/5.73 ( addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_9]).
% 5.35/5.73 cnf('0.10.0.0',axiom,
% 5.35/5.73 ( multiplication(X1,coantidomain(X1)) = zero ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.10.1.0',plain,
% 5.35/5.73 ( multiplication(X1,coantidomain(X1)) = zero ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.10.0.0']),
% 5.35/5.73 [weight('<9,0,0,[0,0,0,10]>')]).
% 5.35/5.73 cnf('0.10.2.0',plain,
% 5.35/5.73 ( multiplication(X1,coantidomain(X1)) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_10]).
% 5.35/5.73 cnf('0.12.0.0',axiom,
% 5.35/5.73 ( multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.12.1.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.12.0.0']),
% 5.35/5.73 [weight('<11,0,0,[0,0,0,12]>')]).
% 5.35/5.73 cnf('0.12.2.0',plain,
% 5.35/5.73 ( addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_12]).
% 5.35/5.73 cnf('0.13.0.0',axiom,
% 5.35/5.73 ( multiplication(antidomain(X1),X1) = zero ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.13.1.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),X1) = zero ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.13.0.0']),
% 5.35/5.73 [weight('<12,0,0,[0,0,0,13]>')]).
% 5.35/5.73 cnf('0.13.2.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),X1) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_13]).
% 5.35/5.73 cnf('0.14.0.0',axiom,
% 5.35/5.73 ( multiplication(zero,X1) = zero ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.14.1.0',plain,
% 5.35/5.73 ( multiplication(zero,X1) = zero ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.14.0.0']),
% 5.35/5.73 [weight('<13,0,0,[0,0,0,14]>')]).
% 5.35/5.73 cnf('0.14.2.0',plain,
% 5.35/5.73 ( multiplication(zero,X1) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_14]).
% 5.35/5.73 cnf('0.15.0.0',axiom,
% 5.35/5.73 ( addition(X1,X2) = addition(X2,X1) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.15.1.0',plain,
% 5.35/5.73 ( addition(X1,X2) = addition(X2,X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.15.0.0']),
% 5.35/5.73 [weight('<14,0,0,[0,0,0,15]>')]).
% 5.35/5.73 cnf('0.15.2.0',plain,
% 5.35/5.73 ( addition(X1,X2) = addition(X2,X1) ),
% 5.35/5.73 inference(activate,[status(thm)],['0.15.1.0']),
% 5.35/5.73 [equation_1]).
% 5.35/5.73 cnf('0.16.0.0',axiom,
% 5.35/5.73 ( addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.16.1.0',plain,
% 5.35/5.73 ( addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.16.0.0']),
% 5.35/5.73 [weight('<15,0,0,[0,0,0,16]>')]).
% 5.35/5.73 cnf('0.16.2.0',plain,
% 5.35/5.73 ( addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_15]).
% 5.35/5.73 cnf('0.18.0.0',axiom,
% 5.35/5.73 ( addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.18.1.0',plain,
% 5.35/5.73 ( addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.18.0.0']),
% 5.35/5.73 [weight('<17,0,0,[0,0,0,18]>')]).
% 5.35/5.73 cnf('0.18.1.1',plain,
% 5.35/5.73 ( addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.18.1.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.18.2.0',plain,
% 5.35/5.73 ( addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 5.35/5.73 [u,rule_17]).
% 5.35/5.73 cnf('0.20.0.0',axiom,
% 5.35/5.73 ( addition(antidomain(antidomain(X1)),antidomain(X1)) = one ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.20.1.0',plain,
% 5.35/5.73 ( addition(antidomain(antidomain(X1)),antidomain(X1)) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.20.0.0']),
% 5.35/5.73 [weight('<19,0,0,[0,0,0,20]>')]).
% 5.35/5.73 cnf('0.20.1.1',plain,
% 5.35/5.73 ( addition(antidomain(X1),antidomain(antidomain(X1))) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.20.1.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.20.2.0',plain,
% 5.35/5.73 ( addition(antidomain(X1),antidomain(antidomain(X1))) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 5.35/5.73 [u,rule_19]).
% 5.35/5.73 cnf('0.21.0.0',axiom,
% 5.35/5.73 ( coantidomain(coantidomain(X1)) = codomain(X1) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.21.1.0',plain,
% 5.35/5.73 ( coantidomain(coantidomain(X1)) = codomain(X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.21.0.0']),
% 5.35/5.73 [weight('<20,0,0,[0,0,0,21]>')]).
% 5.35/5.73 cnf('0.21.2.0',plain,
% 5.35/5.73 ( coantidomain(coantidomain(X1)) = codomain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_20]).
% 5.35/5.73 cnf('0.22.0.0',axiom,
% 5.35/5.73 ( antidomain(antidomain(X1)) = domain(X1) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.22.1.0',plain,
% 5.35/5.73 ( antidomain(antidomain(X1)) = domain(X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.22.0.0']),
% 5.35/5.73 [weight('<21,0,0,[0,0,0,22]>')]).
% 5.35/5.73 cnf('0.22.2.0',plain,
% 5.35/5.73 ( antidomain(antidomain(X1)) = domain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_21]).
% 5.35/5.73 cnf('0.23.0.0',axiom,
% 5.35/5.73 ( true = ifeq2(addition(X1,X2),X2,leq(X1,X2),true) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.23.1.0',plain,
% 5.35/5.73 ( true = ifeq2(addition(X1,X2),X2,leq(X1,X2),true) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.23.0.0']),
% 5.35/5.73 [weight('<22,0,0,[0,0,0,23]>')]).
% 5.35/5.73 cnf('0.23.2.0',plain,
% 5.35/5.73 ( ifeq2(addition(X1,X2),X2,leq(X1,X2),true) = true ),
% 5.35/5.73 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_22]).
% 5.35/5.73 cnf('0.24.0.0',plain,
% 5.35/5.73 ( zero = coantidomain(one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.24.1.0',plain,
% 5.35/5.73 ( zero = coantidomain(one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.24.0.0']),
% 5.35/5.73 [weight('<11,10,2,[1,0,0,0]>')]).
% 5.35/5.73 cnf('0.24.2.0',plain,
% 5.35/5.73 ( coantidomain(one) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_23]).
% 5.35/5.73 cnf('0.25.0.0',plain,
% 5.35/5.73 ( zero = antidomain(one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.13.2.0','0.1.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.25.1.0',plain,
% 5.35/5.73 ( zero = antidomain(one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.25.0.0']),
% 5.35/5.73 [weight('<11,13,1,[1,0,0,0]>')]).
% 5.35/5.73 cnf('0.25.2.0',plain,
% 5.35/5.73 ( antidomain(one) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_24]).
% 5.35/5.73 cnf('0.26.0.0',plain,
% 5.35/5.73 ( codomain(one) = coantidomain(zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.21.2.0','0.24.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.26.1.0',plain,
% 5.35/5.73 ( codomain(one) = coantidomain(zero) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.26.0.0']),
% 5.35/5.73 [weight('<14,24,21,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.26.2.0',plain,
% 5.35/5.73 ( coantidomain(zero) = codomain(one) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_25]).
% 5.35/5.73 cnf('0.27.0.0',plain,
% 5.35/5.73 ( domain(one) = antidomain(zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.22.2.0','0.25.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.27.1.0',plain,
% 5.35/5.73 ( domain(one) = antidomain(zero) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.27.0.0']),
% 5.35/5.73 [weight('<14,25,22,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.27.2.0',plain,
% 5.35/5.73 ( antidomain(zero) = domain(one) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_26]).
% 5.35/5.73 cnf('0.28.0.0',plain,
% 5.35/5.73 ( addition(zero,X1) = X1 ),
% 5.35/5.73 inference(cp,[status(thm)],['0.15.2.0','0.4.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.28.1.0',plain,
% 5.35/5.73 ( addition(zero,X1) = X1 ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.28.0.0']),
% 5.35/5.73 [weight('<19,15,4,[1,0,0,0]>')]).
% 5.35/5.73 cnf('0.28.2.0',plain,
% 5.35/5.73 ( addition(zero,X1) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_27]).
% 5.35/5.73 cnf('0.33.0.0',plain,
% 5.35/5.73 ( codomain(coantidomain(X1)) = coantidomain(codomain(X1)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.21.2.0','0.21.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.33.1.0',plain,
% 5.35/5.73 ( codomain(coantidomain(X1)) = coantidomain(codomain(X1)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.33.0.0']),
% 5.35/5.73 [weight('<27,21,21,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.33.2.0',plain,
% 5.35/5.73 ( coantidomain(codomain(X1)) = codomain(coantidomain(X1)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_32]).
% 5.35/5.73 cnf('0.34.0.0',plain,
% 5.35/5.73 ( domain(antidomain(X1)) = antidomain(domain(X1)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.22.2.0','0.22.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.34.1.0',plain,
% 5.35/5.73 ( domain(antidomain(X1)) = antidomain(domain(X1)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.34.0.0']),
% 5.35/5.73 [weight('<27,22,22,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.34.2.0',plain,
% 5.35/5.73 ( antidomain(domain(X1)) = domain(antidomain(X1)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_33]).
% 5.35/5.73 cnf('0.35.0.0',plain,
% 5.35/5.73 ( addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one ),
% 5.35/5.73 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 5.35/5.73 cnf('0.35.0.1',plain,
% 5.35/5.73 ( addition(coantidomain(X1),codomain(X1)) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.35.0.0','0.21.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.35.1.0',plain,
% 5.35/5.73 ( addition(coantidomain(X1),codomain(X1)) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.35.0.1']),
% 5.35/5.73 [weight('<41,18,21,[0,0,0,0]>')]).
% 5.35/5.73 cnf('0.35.1.1',plain,
% 5.35/5.73 ( addition(codomain(X1),coantidomain(X1)) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.35.1.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.35.2.0',plain,
% 5.35/5.73 ( addition(codomain(X1),coantidomain(X1)) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 5.35/5.73 [u,rule_34]).
% 5.35/5.73 cnf('0.36.0.0',plain,
% 5.35/5.73 ( one = addition(codomain(one),zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.35.2.0','0.24.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.36.0.1',plain,
% 5.35/5.73 ( one = codomain(one) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.36.0.0','0.4.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.36.1.0',plain,
% 5.35/5.73 ( one = codomain(one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.36.0.1']),
% 5.35/5.73 [weight('<11,35,24,[1,0,0,3]>')]).
% 5.35/5.73 cnf('0.36.2.0',plain,
% 5.35/5.73 ( codomain(one) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_35]).
% 5.35/5.73 cnf('0.37.0.0',plain,
% 5.35/5.73 ( coantidomain(zero) = codomain(one) ),
% 5.35/5.73 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 5.35/5.73 cnf('0.37.0.1',plain,
% 5.35/5.73 ( coantidomain(zero) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.37.1.0',plain,
% 5.35/5.73 ( coantidomain(zero) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.37.0.1']),
% 5.35/5.73 [weight('<11,26,36,[0,0,0,0]>')]).
% 5.35/5.73 cnf('0.37.2.0',plain,
% 5.35/5.73 ( coantidomain(zero) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_36]).
% 5.35/5.73 cnf('0.39.0.0',plain,
% 5.35/5.73 ( addition(antidomain(X1),antidomain(antidomain(X1))) = one ),
% 5.35/5.73 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 5.35/5.73 cnf('0.39.0.1',plain,
% 5.35/5.73 ( addition(antidomain(X1),domain(X1)) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.39.0.0','0.22.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.39.1.0',plain,
% 5.35/5.73 ( addition(antidomain(X1),domain(X1)) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.39.0.1']),
% 5.35/5.73 [weight('<41,20,22,[0,0,0,0]>')]).
% 5.35/5.73 cnf('0.39.1.1',plain,
% 5.35/5.73 ( addition(domain(X1),antidomain(X1)) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.39.1.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.39.2.0',plain,
% 5.35/5.73 ( addition(domain(X1),antidomain(X1)) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.39.1.1',theory(equality)]),
% 5.35/5.73 [u,rule_38]).
% 5.35/5.73 cnf('0.40.0.0',plain,
% 5.35/5.73 ( one = addition(domain(one),zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.39.2.0','0.25.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.40.0.1',plain,
% 5.35/5.73 ( one = domain(one) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.40.0.0','0.4.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.40.1.0',plain,
% 5.35/5.73 ( one = domain(one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.40.0.1']),
% 5.35/5.73 [weight('<11,39,25,[1,0,0,3]>')]).
% 5.35/5.73 cnf('0.40.2.0',plain,
% 5.35/5.73 ( domain(one) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_39]).
% 5.35/5.73 cnf('0.41.0.0',plain,
% 5.35/5.73 ( antidomain(zero) = domain(one) ),
% 5.35/5.73 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 5.35/5.73 cnf('0.41.0.1',plain,
% 5.35/5.73 ( antidomain(zero) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.41.0.0','0.40.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.41.1.0',plain,
% 5.35/5.73 ( antidomain(zero) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.41.0.1']),
% 5.35/5.73 [weight('<11,27,40,[0,0,0,0]>')]).
% 5.35/5.73 cnf('0.41.2.0',plain,
% 5.35/5.73 ( antidomain(zero) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_40]).
% 5.35/5.73 cnf('0.45.0.0',plain,
% 5.35/5.73 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.16.2.0','0.3.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.45.1.0',plain,
% 5.35/5.73 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.45.0.0']),
% 5.35/5.73 [weight('<53,16,3,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.45.2.0',plain,
% 5.35/5.73 ( addition(X1,addition(X1,X2)) = addition(X1,X2) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_44]).
% 5.35/5.73 cnf('0.47.0.0',plain,
% 5.35/5.73 ( addition(domain(X1),antidomain(X1)) = addition(domain(X1),one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.45.2.0','0.39.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.47.0.1',plain,
% 5.35/5.73 ( one = addition(domain(X1),one) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.47.0.0','0.39.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.47.1.0',plain,
% 5.35/5.73 ( one = addition(domain(X1),one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.47.0.1']),
% 5.35/5.73 [weight('<29,45,39,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.47.1.1',plain,
% 5.35/5.73 ( one = addition(one,domain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.47.1.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.47.2.0',plain,
% 5.35/5.73 ( addition(one,domain(X1)) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.47.1.1',theory(equality)]),
% 5.35/5.73 [x,rule_46]).
% 5.35/5.73 cnf('0.48.0.0',plain,
% 5.35/5.73 ( true = ifeq2(addition(X1,X2),addition(X1,X2),leq(X1,addition(X1,X2)),true) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.23.2.0','0.45.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.48.0.1',plain,
% 5.35/5.73 ( true = leq(X1,addition(X1,X2)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.48.0.0','0.5.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.48.1.0',plain,
% 5.35/5.73 ( true = leq(X1,addition(X1,X2)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.48.0.1']),
% 5.35/5.73 [weight('<41,45,23,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.48.2.0',plain,
% 5.35/5.73 ( leq(X1,addition(X1,X2)) = true ),
% 5.35/5.73 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_47]).
% 5.35/5.73 cnf('0.51.0.0',plain,
% 5.35/5.73 ( true = leq(X1,addition(X2,X1)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.48.2.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.51.1.0',plain,
% 5.35/5.73 ( true = leq(X1,addition(X2,X1)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.51.0.0']),
% 5.35/5.73 [weight('<41,48,15,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.51.2.0',plain,
% 5.35/5.73 ( leq(X1,addition(X2,X1)) = true ),
% 5.35/5.73 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_50]).
% 5.35/5.73 cnf('0.52.0.0',plain,
% 5.35/5.73 ( true = leq(coantidomain(X1),one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.51.2.0','0.35.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.52.1.0',plain,
% 5.35/5.73 ( true = leq(coantidomain(X1),one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.52.0.0']),
% 5.35/5.73 [weight('<29,51,35,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.52.2.0',plain,
% 5.35/5.73 ( leq(coantidomain(X1),one) = true ),
% 5.35/5.73 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_51]).
% 5.35/5.73 cnf('0.53.0.0',plain,
% 5.35/5.73 ( true = leq(antidomain(X1),one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.51.2.0','0.39.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.53.1.0',plain,
% 5.35/5.73 ( true = leq(antidomain(X1),one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.53.0.0']),
% 5.35/5.73 [weight('<29,51,39,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.53.2.0',plain,
% 5.35/5.73 ( leq(antidomain(X1),one) = true ),
% 5.35/5.73 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_52]).
% 5.35/5.73 cnf('0.54.0.0',plain,
% 5.35/5.73 ( one = ifeq(true,true,addition(coantidomain(X1),one),one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.7.2.0','0.52.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.54.0.1',plain,
% 5.35/5.73 ( one = addition(coantidomain(X1),one) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.54.0.0','0.6.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.54.1.0',plain,
% 5.35/5.73 ( one = addition(coantidomain(X1),one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.54.0.1']),
% 5.35/5.73 [weight('<29,52,7,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.54.1.1',plain,
% 5.35/5.73 ( one = addition(one,coantidomain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.54.1.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.54.2.0',plain,
% 5.35/5.73 ( addition(one,coantidomain(X1)) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 5.35/5.73 [x,rule_53]).
% 5.35/5.73 cnf('0.55.0.0',plain,
% 5.35/5.73 ( one = ifeq(true,true,addition(antidomain(X1),one),one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.7.2.0','0.53.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.55.0.1',plain,
% 5.35/5.73 ( one = addition(antidomain(X1),one) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.55.0.0','0.6.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.55.1.0',plain,
% 5.35/5.73 ( one = addition(antidomain(X1),one) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.55.0.1']),
% 5.35/5.73 [weight('<29,53,7,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.55.1.1',plain,
% 5.35/5.73 ( one = addition(one,antidomain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.55.1.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.55.2.0',plain,
% 5.35/5.73 ( addition(one,antidomain(X1)) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.55.1.1',theory(equality)]),
% 5.35/5.73 [x,rule_54]).
% 5.35/5.73 cnf('0.61.0.0',plain,
% 5.35/5.73 ( multiplication(X1,multiplication(coantidomain(X1),X2)) = multiplication(zero,X2) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.8.2.0','0.10.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.61.1.0',plain,
% 5.35/5.73 ( multiplication(X1,multiplication(coantidomain(X1),X2)) = multiplication(zero,X2) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.61.0.0']),
% 5.35/5.73 [weight('<69,10,8,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.61.1.1',plain,
% 5.35/5.73 ( multiplication(X1,multiplication(coantidomain(X1),X2)) = zero ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.61.1.0','0.14.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.61.2.0',plain,
% 5.35/5.73 ( multiplication(X1,multiplication(coantidomain(X1),X2)) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.61.1.1',theory(equality)]),
% 5.35/5.73 [u,rule_60]).
% 5.35/5.73 cnf('0.62.0.0',plain,
% 5.35/5.73 ( multiplication(X1,addition(X2,coantidomain(X1))) = addition(multiplication(X1,X2),zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.62.0.1',plain,
% 5.35/5.73 ( multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.62.0.0','0.4.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.62.1.0',plain,
% 5.35/5.73 ( multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.62.0.1']),
% 5.35/5.73 [weight('<69,10,9,[0,0,0,4]>')]).
% 5.35/5.73 cnf('0.62.2.0',plain,
% 5.35/5.73 ( multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_61]).
% 5.35/5.73 cnf('0.63.0.0',plain,
% 5.35/5.73 ( multiplication(X1,codomain(X1)) = multiplication(X1,one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.62.2.0','0.35.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.63.0.1',plain,
% 5.35/5.73 ( multiplication(X1,codomain(X1)) = X1 ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.63.0.0','0.1.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.63.1.0',plain,
% 5.35/5.73 ( multiplication(X1,codomain(X1)) = X1 ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.63.0.1']),
% 5.35/5.73 [weight('<29,62,35,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.63.2.0',plain,
% 5.35/5.73 ( multiplication(X1,codomain(X1)) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_62]).
% 5.35/5.73 cnf('0.65.0.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,antidomain(X2)),X2) = addition(multiplication(X1,X2),zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.65.0.1',plain,
% 5.35/5.73 ( multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.65.0.0','0.4.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.65.1.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.65.0.1']),
% 5.35/5.73 [weight('<69,13,12,[0,0,0,4]>')]).
% 5.35/5.73 cnf('0.65.2.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_64]).
% 5.35/5.73 cnf('0.66.0.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),X1) = multiplication(one,X1) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.65.2.0','0.39.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.66.0.1',plain,
% 5.35/5.73 ( multiplication(domain(X1),X1) = X1 ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.66.0.0','0.2.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.66.1.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),X1) = X1 ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.66.0.1']),
% 5.35/5.73 [weight('<29,65,39,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.66.2.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),X1) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_65]).
% 5.35/5.73 cnf('0.81.0.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),multiplication(X1,X2)) = multiplication(X1,X2) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.8.2.0','0.66.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.81.1.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),multiplication(X1,X2)) = multiplication(X1,X2) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.81.0.0']),
% 5.35/5.73 [weight('<69,66,8,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.81.2.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),multiplication(X1,X2)) = multiplication(X1,X2) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_80]).
% 5.35/5.73 cnf('0.114.0.0',axiom,
% 5.35/5.73 ( addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.114.1.0',plain,
% 5.35/5.73 ( addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.114.0.0']),
% 5.35/5.73 [weight('<0,0,0,[0,0,0,17]>')]).
% 5.35/5.73 cnf('0.114.1.1',plain,
% 5.35/5.73 ( addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(codomain(X1),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.114.1.0','0.21.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2.1.1','L')]).
% 5.35/5.73 cnf('0.114.1.2',plain,
% 5.35/5.73 ( addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(codomain(X1),X2))) = coantidomain(multiplication(codomain(X1),X2)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.114.1.1','0.21.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.1.1','L')]).
% 5.35/5.73 cnf('0.114.2.0',plain,
% 5.35/5.73 ( addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(codomain(X1),X2))) = coantidomain(multiplication(codomain(X1),X2)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.114.1.2',theory(equality)]),
% 5.35/5.73 [u,rule_113]).
% 5.35/5.73 cnf('0.117.0.0',plain,
% 5.35/5.73 ( coantidomain(multiplication(codomain(antidomain(X1)),X1)) = addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X1)),X1))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.114.2.0','0.13.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1.1','L')]).
% 5.35/5.73 cnf('0.117.0.1',plain,
% 5.35/5.73 ( coantidomain(multiplication(codomain(antidomain(X1)),X1)) = addition(one,coantidomain(multiplication(codomain(antidomain(X1)),X1))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.117.0.0','0.37.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.1','L')]).
% 5.35/5.73 cnf('0.117.0.2',plain,
% 5.35/5.73 ( coantidomain(multiplication(codomain(antidomain(X1)),X1)) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.117.0.1','0.54.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.117.1.0',plain,
% 5.35/5.73 ( coantidomain(multiplication(codomain(antidomain(X1)),X1)) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.117.0.2']),
% 5.35/5.73 [weight('<55,114,13,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.117.2.0',plain,
% 5.35/5.73 ( coantidomain(multiplication(codomain(antidomain(X1)),X1)) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_116]).
% 5.35/5.73 cnf('0.118.0.0',plain,
% 5.35/5.73 ( zero = multiplication(multiplication(codomain(antidomain(X1)),X1),one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.10.2.0','0.117.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.118.0.1',plain,
% 5.35/5.73 ( zero = multiplication(codomain(antidomain(X1)),multiplication(X1,one)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.118.0.0','0.8.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.118.0.2',plain,
% 5.35/5.73 ( zero = multiplication(codomain(antidomain(X1)),X1) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.118.0.1','0.1.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.2','L')]).
% 5.35/5.73 cnf('0.118.1.0',plain,
% 5.35/5.73 ( zero = multiplication(codomain(antidomain(X1)),X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.118.0.2']),
% 5.35/5.73 [weight('<41,117,10,[0,0,0,2]>')]).
% 5.35/5.73 cnf('0.118.2.0',plain,
% 5.35/5.73 ( multiplication(codomain(antidomain(X1)),X1) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_117]).
% 5.35/5.73 cnf('0.151.0.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,X2),coantidomain(X2)) = addition(multiplication(X1,coantidomain(X2)),zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.12.2.0','0.10.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.151.0.1',plain,
% 5.35/5.73 ( multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.151.0.0','0.4.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.151.1.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.151.0.1']),
% 5.35/5.73 [weight('<76,12,10,[1,0,0,4]>')]).
% 5.35/5.73 cnf('0.151.2.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_150]).
% 5.35/5.73 cnf('0.164.0.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),coantidomain(antidomain(X1))) = multiplication(one,coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.151.2.0','0.39.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.164.0.1',plain,
% 5.35/5.73 ( multiplication(domain(X1),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.164.0.0','0.2.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.164.1.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.164.0.1']),
% 5.35/5.73 [weight('<69,151,39,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.164.2.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_163]).
% 5.35/5.73 cnf('0.169.0.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),addition(X2,X1)) = addition(multiplication(antidomain(X1),X2),zero) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.9.2.0','0.13.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.169.0.1',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.169.0.0','0.4.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.169.1.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.169.0.1']),
% 5.35/5.73 [weight('<76,13,9,[0,0,0,4]>')]).
% 5.35/5.73 cnf('0.169.2.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_168]).
% 5.35/5.73 cnf('0.186.0.0',plain,
% 5.35/5.73 ( multiplication(X1,coantidomain(X2)) = multiplication(addition(X2,X1),coantidomain(X2)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.151.2.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.186.1.0',plain,
% 5.35/5.73 ( multiplication(X1,coantidomain(X2)) = multiplication(addition(X2,X1),coantidomain(X2)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.186.0.0']),
% 5.35/5.73 [weight('<76,151,15,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.186.2.0',plain,
% 5.35/5.73 ( multiplication(addition(X1,X2),coantidomain(X1)) = multiplication(X2,coantidomain(X1)) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_185]).
% 5.35/5.73 cnf('0.187.0.0',plain,
% 5.35/5.73 ( multiplication(coantidomain(X1),coantidomain(codomain(X1))) = multiplication(one,coantidomain(codomain(X1))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.186.2.0','0.35.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.187.0.1',plain,
% 5.35/5.73 ( multiplication(coantidomain(X1),codomain(coantidomain(X1))) = multiplication(one,coantidomain(codomain(X1))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.187.0.0','0.33.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.187.0.2',plain,
% 5.35/5.73 ( coantidomain(X1) = multiplication(one,coantidomain(codomain(X1))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.187.0.1','0.63.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.187.0.3',plain,
% 5.35/5.73 ( coantidomain(X1) = coantidomain(codomain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.187.0.2','0.2.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.187.0.4',plain,
% 5.35/5.73 ( coantidomain(X1) = codomain(coantidomain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.187.0.3','0.33.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.187.1.0',plain,
% 5.35/5.73 ( coantidomain(X1) = codomain(coantidomain(X1)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.187.0.4']),
% 5.35/5.73 [weight('<23,186,35,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.187.2.0',plain,
% 5.35/5.73 ( codomain(coantidomain(X1)) = coantidomain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_186]).
% 5.35/5.73 cnf('0.192.0.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X1,X2)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.169.2.0','0.15.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.192.1.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X1,X2)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.192.0.0']),
% 5.35/5.73 [weight('<76,169,15,[1,0,0,3]>')]).
% 5.35/5.73 cnf('0.192.2.0',plain,
% 5.35/5.73 ( multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_191]).
% 5.35/5.73 cnf('0.193.0.0',plain,
% 5.35/5.73 ( multiplication(antidomain(domain(X1)),antidomain(X1)) = multiplication(antidomain(domain(X1)),one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.192.2.0','0.39.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.193.0.1',plain,
% 5.35/5.73 ( multiplication(domain(antidomain(X1)),antidomain(X1)) = multiplication(antidomain(domain(X1)),one) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.193.0.0','0.34.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.193.0.2',plain,
% 5.35/5.73 ( antidomain(X1) = multiplication(antidomain(domain(X1)),one) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.193.0.1','0.66.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.193.0.3',plain,
% 5.35/5.73 ( antidomain(X1) = antidomain(domain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.193.0.2','0.1.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.193.0.4',plain,
% 5.35/5.73 ( antidomain(X1) = domain(antidomain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.193.0.3','0.34.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.193.1.0',plain,
% 5.35/5.73 ( antidomain(X1) = domain(antidomain(X1)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.193.0.4']),
% 5.35/5.73 [weight('<23,192,39,[1,0,0,3]>')]).
% 5.35/5.73 cnf('0.193.2.0',plain,
% 5.35/5.73 ( domain(antidomain(X1)) = antidomain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_192]).
% 5.35/5.73 cnf('0.194.0.0',plain,
% 5.35/5.73 ( antidomain(domain(X1)) = domain(antidomain(X1)) ),
% 5.35/5.73 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 5.35/5.73 cnf('0.194.0.1',plain,
% 5.35/5.73 ( antidomain(domain(X1)) = antidomain(X1) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.194.0.0','0.193.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.194.1.0',plain,
% 5.35/5.73 ( antidomain(domain(X1)) = antidomain(X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.194.0.1']),
% 5.35/5.73 [weight('<23,34,193,[0,0,0,0]>')]).
% 5.35/5.73 cnf('0.194.2.0',plain,
% 5.35/5.73 ( antidomain(domain(X1)) = antidomain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_193]).
% 5.35/5.73 cnf('0.205.0.0',plain,
% 5.35/5.73 ( multiplication(addition(codomain(antidomain(X1)),X2),X1) = addition(zero,multiplication(X2,X1)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.12.2.0','0.118.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.205.0.1',plain,
% 5.35/5.73 ( multiplication(addition(codomain(antidomain(X1)),X2),X1) = multiplication(X2,X1) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.205.0.0','0.28.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.205.1.0',plain,
% 5.35/5.73 ( multiplication(addition(codomain(antidomain(X1)),X2),X1) = multiplication(X2,X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.205.0.1']),
% 5.35/5.73 [weight('<87,118,12,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.205.2.0',plain,
% 5.35/5.73 ( multiplication(addition(codomain(antidomain(X1)),X2),X1) = multiplication(X2,X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_204]).
% 5.35/5.73 cnf('0.206.0.0',plain,
% 5.35/5.73 ( multiplication(coantidomain(antidomain(X1)),X1) = multiplication(one,X1) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.205.2.0','0.35.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.206.0.1',plain,
% 5.35/5.73 ( multiplication(coantidomain(antidomain(X1)),X1) = X1 ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.206.0.0','0.2.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.206.1.0',plain,
% 5.35/5.73 ( multiplication(coantidomain(antidomain(X1)),X1) = X1 ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.206.0.1']),
% 5.35/5.73 [weight('<41,205,35,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.206.2.0',plain,
% 5.35/5.73 ( multiplication(coantidomain(antidomain(X1)),X1) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_205]).
% 5.35/5.73 cnf('0.215.0.0',axiom,
% 5.35/5.73 ( addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))) ),
% 5.35/5.73 file('/tmp/WALDMEISTER_20513_n027')).
% 5.35/5.73 cnf('0.215.1.0',plain,
% 5.35/5.73 ( addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.215.0.0']),
% 5.35/5.73 [weight('<0,0,0,[0,0,0,19]>')]).
% 5.35/5.73 cnf('0.215.1.1',plain,
% 5.35/5.73 ( addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,domain(X2)))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.215.1.0','0.22.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2.1.2','L')]).
% 5.35/5.73 cnf('0.215.1.2',plain,
% 5.35/5.73 ( addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,domain(X2)))) = antidomain(multiplication(X1,domain(X2))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.215.1.1','0.22.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.1.2','L')]).
% 5.35/5.73 cnf('0.215.2.0',plain,
% 5.35/5.73 ( addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,domain(X2)))) = antidomain(multiplication(X1,domain(X2))) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.215.1.2',theory(equality)]),
% 5.35/5.73 [u,rule_214]).
% 5.35/5.73 cnf('0.307.0.0',plain,
% 5.35/5.73 ( antidomain(multiplication(X1,domain(multiplication(coantidomain(X1),X2)))) = addition(antidomain(zero),antidomain(multiplication(X1,domain(multiplication(coantidomain(X1),X2))))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.215.2.0','0.61.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1.1','L')]).
% 5.35/5.73 cnf('0.307.0.1',plain,
% 5.35/5.73 ( antidomain(multiplication(X1,domain(multiplication(coantidomain(X1),X2)))) = addition(one,antidomain(multiplication(X1,domain(multiplication(coantidomain(X1),X2))))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.307.0.0','0.41.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.1','L')]).
% 5.35/5.73 cnf('0.307.0.2',plain,
% 5.35/5.73 ( antidomain(multiplication(X1,domain(multiplication(coantidomain(X1),X2)))) = one ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.307.0.1','0.55.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.307.1.0',plain,
% 5.35/5.73 ( antidomain(multiplication(X1,domain(multiplication(coantidomain(X1),X2)))) = one ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.307.0.2']),
% 5.35/5.73 [weight('<89,215,61,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.307.2.0',plain,
% 5.35/5.73 ( antidomain(multiplication(X1,domain(multiplication(coantidomain(X1),X2)))) = one ),
% 5.35/5.73 inference(orient,[status(thm)],['0.307.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_306]).
% 5.35/5.73 cnf('0.308.0.0',plain,
% 5.35/5.73 ( zero = multiplication(one,multiplication(X1,domain(multiplication(coantidomain(X1),X2)))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.13.2.0','0.307.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.308.0.1',plain,
% 5.35/5.73 ( zero = multiplication(X1,domain(multiplication(coantidomain(X1),X2))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.308.0.0','0.2.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.308.1.0',plain,
% 5.35/5.73 ( zero = multiplication(X1,domain(multiplication(coantidomain(X1),X2))) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.308.0.1']),
% 5.35/5.73 [weight('<71,307,13,[0,0,0,1]>')]).
% 5.35/5.73 cnf('0.308.2.0',plain,
% 5.35/5.73 ( multiplication(X1,domain(multiplication(coantidomain(X1),X2))) = zero ),
% 5.35/5.73 inference(orient,[status(thm)],['0.308.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_307]).
% 5.35/5.73 cnf('0.316.0.0',plain,
% 5.35/5.73 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,X2)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.316.1.0',plain,
% 5.35/5.73 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,X2)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.316.0.0']),
% 5.35/5.73 [weight('<?,9,1,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.316.2.0',plain,
% 5.35/5.73 ( multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,X2)) ),
% 5.35/5.73 inference(activate,[status(thm)],['0.316.1.0']),
% 5.35/5.73 [equation_2]).
% 5.35/5.73 cnf('0.318.0.0',plain,
% 5.35/5.73 ( addition(X1,multiplication(X1,domain(X2))) = multiplication(X1,one) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.316.2.0','0.47.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.318.0.1',plain,
% 5.35/5.73 ( addition(X1,multiplication(X1,domain(X2))) = X1 ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.318.0.0','0.1.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.318.1.0',plain,
% 5.35/5.73 ( addition(X1,multiplication(X1,domain(X2))) = X1 ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.318.0.1']),
% 5.35/5.73 [weight('<55,316,47,[1,0,0,2]>')]).
% 5.35/5.73 cnf('0.318.2.0',plain,
% 5.35/5.73 ( addition(X1,multiplication(X1,domain(X2))) = X1 ),
% 5.35/5.73 inference(orient,[status(thm)],['0.318.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_316]).
% 5.35/5.73 cnf('0.322.0.0',plain,
% 5.35/5.73 ( true = leq(multiplication(X1,domain(X2)),X1) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.51.2.0','0.318.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.322.1.0',plain,
% 5.35/5.73 ( true = leq(multiplication(X1,domain(X2)),X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.322.0.0']),
% 5.35/5.73 [weight('<55,318,51,[0,0,0,2]>')]).
% 5.35/5.73 cnf('0.322.2.0',plain,
% 5.35/5.73 ( leq(multiplication(X1,domain(X2)),X1) = true ),
% 5.35/5.73 inference(orient,[status(thm)],['0.322.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_320]).
% 5.35/5.73 cnf('0.326.0.0',plain,
% 5.35/5.73 ( true = leq(domain(X1),coantidomain(antidomain(domain(X1)))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.322.2.0','0.206.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.326.0.1',plain,
% 5.35/5.73 ( true = leq(domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.326.0.0','0.194.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.2.1','L')]).
% 5.35/5.73 cnf('0.326.1.0',plain,
% 5.35/5.73 ( true = leq(domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.326.0.1']),
% 5.35/5.73 [weight('<55,322,206,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.326.2.0',plain,
% 5.35/5.73 ( leq(domain(X1),coantidomain(antidomain(X1))) = true ),
% 5.35/5.73 inference(orient,[status(thm)],['0.326.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_324]).
% 5.35/5.73 cnf('0.331.0.0',plain,
% 5.35/5.73 ( multiplication(domain(X1),addition(one,coantidomain(antidomain(X1)))) = addition(domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.316.2.0','0.164.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.2','L')]).
% 5.35/5.73 cnf('0.331.0.1',plain,
% 5.35/5.73 ( multiplication(domain(X1),one) = addition(domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.331.0.0','0.54.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.2','L')]).
% 5.35/5.73 cnf('0.331.0.2',plain,
% 5.35/5.73 ( domain(X1) = addition(domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.331.0.1','0.1.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.331.1.0',plain,
% 5.35/5.73 ( domain(X1) = addition(domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.331.0.2']),
% 5.35/5.73 [weight('<62,316,164,[1,1,0,2]>')]).
% 5.35/5.73 cnf('0.331.2.0',plain,
% 5.35/5.73 ( addition(domain(X1),coantidomain(antidomain(X1))) = domain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.331.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_329]).
% 5.35/5.73 cnf('0.332.0.0',plain,
% 5.35/5.73 ( coantidomain(antidomain(X1)) = ifeq(leq(domain(X1),coantidomain(antidomain(X1))),true,domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.7.2.0','0.331.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.3','L')]).
% 5.35/5.73 cnf('0.332.0.1',plain,
% 5.35/5.73 ( coantidomain(antidomain(X1)) = ifeq(true,true,domain(X1),coantidomain(antidomain(X1))) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.332.0.0','0.326.2.0',theory(equality)]),
% 5.35/5.73 [pos('R.1','L')]).
% 5.35/5.73 cnf('0.332.0.2',plain,
% 5.35/5.73 ( coantidomain(antidomain(X1)) = domain(X1) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.332.0.1','0.6.2.0',theory(equality)]),
% 5.35/5.73 [pos('R','L')]).
% 5.35/5.73 cnf('0.332.1.0',plain,
% 5.35/5.73 ( coantidomain(antidomain(X1)) = domain(X1) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.332.0.2']),
% 5.35/5.73 [weight('<23,331,7,[0,0,0,5]>')]).
% 5.35/5.73 cnf('0.332.2.0',plain,
% 5.35/5.73 ( coantidomain(antidomain(X1)) = domain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.332.1.0',theory(equality)]),
% 5.35/5.73 [u,rule_330]).
% 5.35/5.73 cnf('0.333.0.0',plain,
% 5.35/5.73 ( domain(antidomain(X1)) = coantidomain(domain(X1)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.332.2.0','0.22.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.333.0.1',plain,
% 5.35/5.73 ( antidomain(X1) = coantidomain(domain(X1)) ),
% 5.35/5.73 inference(reduction,[status(thm)],['0.333.0.0','0.193.2.0',theory(equality)]),
% 5.35/5.73 [pos('L','L')]).
% 5.35/5.73 cnf('0.333.1.0',plain,
% 5.35/5.73 ( antidomain(X1) = coantidomain(domain(X1)) ),
% 5.35/5.73 inference(weigh,[status(thm)],['0.333.0.1']),
% 5.35/5.73 [weight('<23,332,22,[1,0,0,1]>')]).
% 5.35/5.73 cnf('0.333.2.0',plain,
% 5.35/5.73 ( coantidomain(domain(X1)) = antidomain(X1) ),
% 5.35/5.73 inference(orient,[status(thm)],['0.333.1.0',theory(equality)]),
% 5.35/5.73 [x,rule_331]).
% 5.35/5.73 cnf('0.335.0.0',plain,
% 5.35/5.73 ( coantidomain(domain(X1)) = codomain(antidomain(X1)) ),
% 5.35/5.73 inference(cp,[status(thm)],['0.187.2.0','0.333.2.0',theory(equality)]),
% 5.35/5.73 [pos('L.1','L')]).
% 5.35/5.73 cnf('0.335.0.1',plain,
% 5.35/5.73 ( antidomain(X1) = codomain(antidomain(X1)) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.335.0.0','0.333.2.0',theory(equality)]),
% 5.35/5.74 [pos('L','L')]).
% 5.35/5.74 cnf('0.335.1.0',plain,
% 5.35/5.74 ( antidomain(X1) = codomain(antidomain(X1)) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.335.0.1']),
% 5.35/5.74 [weight('<23,333,187,[0,0,0,1]>')]).
% 5.35/5.74 cnf('0.335.2.0',plain,
% 5.35/5.74 ( codomain(antidomain(X1)) = antidomain(X1) ),
% 5.35/5.74 inference(orient,[status(thm)],['0.335.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_333]).
% 5.35/5.74 cnf('0.562.0.0',plain,
% 5.35/5.74 ( X1 = ifeq(leq(X2,X1),true,addition(X1,X2),X1) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.7.2.0','0.15.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.3','L')]).
% 5.35/5.74 cnf('0.562.1.0',plain,
% 5.35/5.74 ( X1 = ifeq(leq(X2,X1),true,addition(X1,X2),X1) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.562.0.0']),
% 5.35/5.74 [weight('<109,15,7,[0,0,0,5]>')]).
% 5.35/5.74 cnf('0.562.2.0',plain,
% 5.35/5.74 ( ifeq(leq(X1,X2),true,addition(X2,X1),X2) = X2 ),
% 5.35/5.74 inference(orient,[status(thm)],['0.562.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_557]).
% 5.35/5.74 cnf('0.567.0.0',plain,
% 5.35/5.74 ( true = leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.48.2.0','0.12.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.2','L')]).
% 5.35/5.74 cnf('0.567.1.0',plain,
% 5.35/5.74 ( true = leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.567.0.0']),
% 5.35/5.74 [weight('<109,48,12,[1,0,0,2]>')]).
% 5.35/5.74 cnf('0.567.2.0',plain,
% 5.35/5.74 ( leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2)) = true ),
% 5.35/5.74 inference(orient,[status(thm)],['0.567.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_562]).
% 5.35/5.74 cnf('0.568.0.0',plain,
% 5.35/5.74 ( true = leq(multiplication(codomain(X1),X2),multiplication(one,X2)) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.567.2.0','0.35.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.2.1','L')]).
% 5.35/5.74 cnf('0.568.0.1',plain,
% 5.35/5.74 ( true = leq(multiplication(codomain(X1),X2),X2) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.568.0.0','0.2.2.0',theory(equality)]),
% 5.35/5.74 [pos('R.2','L')]).
% 5.35/5.74 cnf('0.568.1.0',plain,
% 5.35/5.74 ( true = leq(multiplication(codomain(X1),X2),X2) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.568.0.1']),
% 5.35/5.74 [weight('<55,567,35,[1,0,0,5]>')]).
% 5.35/5.74 cnf('0.568.2.0',plain,
% 5.35/5.74 ( leq(multiplication(codomain(X1),X2),X2) = true ),
% 5.35/5.74 inference(orient,[status(thm)],['0.568.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_563]).
% 5.35/5.74 cnf('0.572.0.0',plain,
% 5.35/5.74 ( true = leq(multiplication(antidomain(X1),X2),X2) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.568.2.0','0.335.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.1.1','L')]).
% 5.35/5.74 cnf('0.572.1.0',plain,
% 5.35/5.74 ( true = leq(multiplication(antidomain(X1),X2),X2) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.572.0.0']),
% 5.35/5.74 [weight('<55,568,335,[1,0,0,2]>')]).
% 5.35/5.74 cnf('0.572.2.0',plain,
% 5.35/5.74 ( leq(multiplication(antidomain(X1),X2),X2) = true ),
% 5.35/5.74 inference(orient,[status(thm)],['0.572.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_567]).
% 5.35/5.74 cnf('0.1593.0.0',plain,
% 5.35/5.74 ( multiplication(X1,addition(domain(multiplication(coantidomain(X1),X2)),X3)) = addition(zero,multiplication(X1,X3)) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.9.2.0','0.308.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.1','L')]).
% 5.35/5.74 cnf('0.1593.0.1',plain,
% 5.35/5.74 ( multiplication(X1,addition(domain(multiplication(coantidomain(X1),X2)),X3)) = multiplication(X1,X3) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.1593.0.0','0.28.2.0',theory(equality)]),
% 5.35/5.74 [pos('R','L')]).
% 5.35/5.74 cnf('0.1593.1.0',plain,
% 5.35/5.74 ( multiplication(X1,addition(domain(multiplication(coantidomain(X1),X2)),X3)) = multiplication(X1,X3) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.1593.0.1']),
% 5.35/5.74 [weight('<129,308,9,[0,0,0,1]>')]).
% 5.35/5.74 cnf('0.1593.2.0',plain,
% 5.35/5.74 ( multiplication(X1,addition(domain(multiplication(coantidomain(X1),X2)),X3)) = multiplication(X1,X3) ),
% 5.35/5.74 inference(orient,[status(thm)],['0.1593.1.0',theory(equality)]),
% 5.35/5.74 [u,rule_1575]).
% 5.35/5.74 cnf('0.1594.0.0',plain,
% 5.35/5.74 ( multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = multiplication(X1,one) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.1593.2.0','0.39.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.2','L')]).
% 5.35/5.74 cnf('0.1594.0.1',plain,
% 5.35/5.74 ( multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1 ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.1594.0.0','0.1.2.0',theory(equality)]),
% 5.35/5.74 [pos('R','L')]).
% 5.35/5.74 cnf('0.1594.1.0',plain,
% 5.35/5.74 ( multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1 ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.1594.0.1']),
% 5.35/5.74 [weight('<71,1593,39,[1,0,0,2]>')]).
% 5.35/5.74 cnf('0.1594.2.0',plain,
% 5.35/5.74 ( multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1 ),
% 5.35/5.74 inference(orient,[status(thm)],['0.1594.1.0',theory(equality)]),
% 5.35/5.74 [u,rule_1576]).
% 5.35/5.74 cnf('0.1598.0.0',plain,
% 5.35/5.74 ( true = leq(antidomain(X1),antidomain(multiplication(coantidomain(antidomain(X1)),X2))) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.572.2.0','0.1594.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.1','L')]).
% 5.35/5.74 cnf('0.1598.0.1',plain,
% 5.35/5.74 ( true = leq(antidomain(X1),antidomain(multiplication(domain(X1),X2))) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.1598.0.0','0.332.2.0',theory(equality)]),
% 5.35/5.74 [pos('R.2.1.1','L')]).
% 5.35/5.74 cnf('0.1598.1.0',plain,
% 5.35/5.74 ( true = leq(antidomain(X1),antidomain(multiplication(domain(X1),X2))) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.1598.0.1']),
% 5.35/5.74 [weight('<89,1594,572,[0,0,0,1]>')]).
% 5.35/5.74 cnf('0.1598.2.0',plain,
% 5.35/5.74 ( leq(antidomain(X1),antidomain(multiplication(domain(X1),X2))) = true ),
% 5.35/5.74 inference(orient,[status(thm)],['0.1598.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_1580]).
% 5.35/5.74 cnf('0.3952.0.0',plain,
% 5.35/5.74 ( multiplication(multiplication(X1,X2),X3) = multiplication(domain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3))) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.81.2.0','0.8.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.2','L')]).
% 5.35/5.74 cnf('0.3952.0.1',plain,
% 5.35/5.74 ( multiplication(X1,multiplication(X2,X3)) = multiplication(domain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3))) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.3952.0.0','0.8.2.0',theory(equality)]),
% 5.35/5.74 [pos('L','L')]).
% 5.35/5.74 cnf('0.3952.1.0',plain,
% 5.35/5.74 ( multiplication(X1,multiplication(X2,X3)) = multiplication(domain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3))) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.3952.0.1']),
% 5.35/5.74 [weight('<?,81,8,[1,0,0,3]>')]).
% 5.35/5.74 cnf('0.3952.2.0',plain,
% 5.35/5.74 ( multiplication(domain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3))) = multiplication(X1,multiplication(X2,X3)) ),
% 5.35/5.74 inference(orient,[status(thm)],['0.3952.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_3934]).
% 5.35/5.74 cnf('0.3953.0.0',plain,
% 5.35/5.74 ( multiplication(X1,multiplication(domain(X2),X2)) = multiplication(domain(multiplication(X1,domain(X2))),multiplication(X1,X2)) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.3952.2.0','0.66.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.2.2','L')]).
% 5.35/5.74 cnf('0.3953.0.1',plain,
% 5.35/5.74 ( multiplication(X1,X2) = multiplication(domain(multiplication(X1,domain(X2))),multiplication(X1,X2)) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.3953.0.0','0.66.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.2','L')]).
% 5.35/5.74 cnf('0.3953.1.0',plain,
% 5.35/5.74 ( multiplication(X1,X2) = multiplication(domain(multiplication(X1,domain(X2))),multiplication(X1,X2)) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.3953.0.1']),
% 5.35/5.74 [weight('<129,3952,66,[1,0,0,7]>')]).
% 5.35/5.74 cnf('0.3953.2.0',plain,
% 5.35/5.74 ( multiplication(domain(multiplication(X1,domain(X2))),multiplication(X1,X2)) = multiplication(X1,X2) ),
% 5.35/5.74 inference(orient,[status(thm)],['0.3953.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_3935]).
% 5.35/5.74 cnf('0.4099.0.0',plain,
% 5.35/5.74 ( true = leq(antidomain(multiplication(X1,domain(X2))),antidomain(multiplication(X1,X2))) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.1598.2.0','0.3953.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.2.1','L')]).
% 5.35/5.74 cnf('0.4099.1.0',plain,
% 5.35/5.74 ( true = leq(antidomain(multiplication(X1,domain(X2))),antidomain(multiplication(X1,X2))) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.4099.0.0']),
% 5.35/5.74 [weight('<131,3953,1598,[0,0,0,4]>')]).
% 5.35/5.74 cnf('0.4099.2.0',plain,
% 5.35/5.74 ( leq(antidomain(multiplication(X1,domain(X2))),antidomain(multiplication(X1,X2))) = true ),
% 5.35/5.74 inference(orient,[status(thm)],['0.4099.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_4081]).
% 5.35/5.74 cnf('0.4100.0.0',plain,
% 5.35/5.74 ( antidomain(multiplication(X1,X2)) = ifeq(true,true,addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,domain(X2)))),antidomain(multiplication(X1,X2))) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.562.2.0','0.4099.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.1','L')]).
% 5.35/5.74 cnf('0.4100.0.1',plain,
% 5.35/5.74 ( antidomain(multiplication(X1,X2)) = addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,domain(X2)))) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.4100.0.0','0.6.2.0',theory(equality)]),
% 5.35/5.74 [pos('R','L')]).
% 5.35/5.74 cnf('0.4100.0.2',plain,
% 5.35/5.74 ( antidomain(multiplication(X1,X2)) = antidomain(multiplication(X1,domain(X2))) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.4100.0.1','0.215.2.0',theory(equality)]),
% 5.35/5.74 [pos('R','L')]).
% 5.35/5.74 cnf('0.4100.1.0',plain,
% 5.35/5.74 ( antidomain(multiplication(X1,X2)) = antidomain(multiplication(X1,domain(X2))) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.4100.0.2']),
% 5.35/5.74 [weight('<59,4099,562,[0,0,0,1]>')]).
% 5.35/5.74 cnf('0.4100.2.0',plain,
% 5.35/5.74 ( antidomain(multiplication(X1,domain(X2))) = antidomain(multiplication(X1,X2)) ),
% 5.35/5.74 inference(orient,[status(thm)],['0.4100.1.0',theory(equality)]),
% 5.35/5.74 [x,rule_4082]).
% 5.35/5.74 cnf('0.4101.0.0',plain,
% 5.35/5.74 ( domain(multiplication(X1,domain(X2))) = antidomain(antidomain(multiplication(X1,X2))) ),
% 5.35/5.74 inference(cp,[status(thm)],['0.22.2.0','0.4100.2.0',theory(equality)]),
% 5.35/5.74 [pos('L.1','L')]).
% 5.35/5.74 cnf('0.4101.0.1',plain,
% 5.35/5.74 ( domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)) ),
% 5.35/5.74 inference(reduction,[status(thm)],['0.4101.0.0','0.22.2.0',theory(equality)]),
% 5.35/5.74 [pos('R','L')]).
% 5.35/5.74 cnf('0.4101.1.0',plain,
% 5.35/5.74 ( domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)) ),
% 5.35/5.74 inference(weigh,[status(thm)],['0.4101.0.1']),
% 5.35/5.74 [weight('<59,4100,22,[0,0,0,1]>')]).
% 5.35/5.74 cnf('0.4101.2.0',plain,
% 5.35/5.74 ( domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)) ),
% 5.35/5.74 inference(orient,[status(thm)],['0.4101.1.0',theory(equality)]),
% 5.35/5.74 [u,rule_4083]).
% 5.35/5.74 cnf('1.0.0.0',conjecture,
% 5.35/5.74 ( domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))) = domain(multiplication(sK2_goals_X0,sK1_goals_X1)) ),
% 5.35/5.74 file('/tmp/WALDMEISTER_20513_n027',conjecture_1)).
% 5.35/5.74 cnf('1.0.0.1',plain,
% 5.35/5.74 ( domain(multiplication(sK2_goals_X0,sK1_goals_X1)) = domain(multiplication(sK2_goals_X0,sK1_goals_X1)) ),
% 5.35/5.74 inference(reduction,[status(thm)],['1.0.0.0','0.4101.2.0',theory(equality)]),
% 5.35/5.74 [pos('L','L')]).
% 5.35/5.74 cnf('1.0.0.2',plain,
% 5.35/5.74 ( $true ),
% 5.35/5.74 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 5.35/5.74 [conjecture_1]).
% 5.35/5.74
% 5.35/5.74 Proved Goals:
% 5.35/5.74 No. 1: domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))) ?= domain(multiplication(sK2_goals_X0,sK1_goals_X1)) joined, current: domain(multiplication(sK2_goals_X0,sK1_goals_X1)) = domain(multiplication(sK2_goals_X0,sK1_goals_X1))
% 5.35/5.74 1 goal was specified, which was proved.
% 5.35/5.74 % SZS output end CNFRefutation
% 5.35/5.74 #END OF PROOF
% 5.35/5.74
% 5.35/5.74 Problem WALDMEISTER_20513_n027
% 5.35/5.74 CPs.gen 3086038
% 5.35/5.74 CPs.reexp 0
% 5.35/5.74 Select 129486
% 5.35/5.74 R 4083
% 5.35/5.74 E 18
% 5.35/5.74 vsize 11.0M
% 5.35/5.74 rss 6.5M
% 5.35/5.74 process.time 4.721s
% 5.35/5.74 wallclock.time 4.720s
% 5.35/5.74 status S
% 5.35/5.74
% 5.35/5.74
% 5.35/5.74 Waldmeister states: Goal proved.
% 5.35/5.74 % SZS status Unsatisfiable
%------------------------------------------------------------------------------