TSTP Solution File: BOO031-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO031-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 : Thu Jul 14 23:52:53 EDT 2022
% Result : Unsatisfiable 1.44s 1.86s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO031-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 22:59:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.66/1.03 ********************************************************************************
% 0.66/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.66/1.03 * |/ | \/ | *
% 0.66/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.66/1.03 * A. Jaeger and B. Loechner | | *
% 0.66/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.66/1.03 ********************************************************************************
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 Goals:
% 0.66/1.03 ------
% 0.66/1.03
% 0.66/1.03 ( 1) add(multiply(b,a),multiply(c,a)) ?=? multiply(a,add(b,c))
% 0.66/1.03
% 0.66/1.03 Detected structure: Orkus
% 0.66/1.03 ********************************************************************************
% 0.66/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.66/1.03 ********************************************************************************
% 0.66/1.03
% 1.44/1.86 joined goal: 1 add(multiply(b,a),multiply(c,a)) ?= multiply(a,add(b,c)) to multiply(a,add(c,b))
% 1.44/1.86 goal joined
% 1.44/1.86 % SZS status Unsatisfiable
% 1.44/1.86 #START OF PROOF
% 1.44/1.86 % SZS output start CNFRefutation
% 1.44/1.86 cnf('0.1.0.0',axiom,
% 1.44/1.86 ( X1 = add(X1,multiply(X2,multiply(X1,X3))) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.1.1.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.44/1.86 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.1.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,multiply(X1,X3))) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_1]).
% 1.44/1.86 cnf('0.2.0.0',axiom,
% 1.44/1.86 ( X1 = add(add(multiply(X2,X1),multiply(X1,X3)),X1) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.2.1.0',plain,
% 1.44/1.86 ( X1 = add(add(multiply(X2,X1),multiply(X1,X3)),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.44/1.86 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.2.2.0',plain,
% 1.44/1.86 ( add(add(multiply(X1,X2),multiply(X2,X3)),X2) = X2 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_2]).
% 1.44/1.86 cnf('0.3.0.0',axiom,
% 1.44/1.86 ( X1 = add(multiply(X2,inverse(X2)),X1) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.3.1.0',plain,
% 1.44/1.86 ( X1 = add(multiply(X2,inverse(X2)),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.44/1.86 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.3.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,inverse(X1)),X2) = X2 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_3]).
% 1.44/1.86 cnf('0.4.0.0',axiom,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,add(X1,X3))) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.4.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,add(X1,X3))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.44/1.86 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.44/1.86 cnf('0.4.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,add(X1,X3))) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_4]).
% 1.44/1.86 cnf('0.5.0.0',axiom,
% 1.44/1.86 ( X1 = multiply(add(X2,inverse(X2)),X1) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.5.1.0',plain,
% 1.44/1.86 ( X1 = multiply(add(X2,inverse(X2)),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.44/1.86 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.44/1.86 cnf('0.5.2.0',plain,
% 1.44/1.86 ( multiply(add(X1,inverse(X1)),X2) = X2 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_5]).
% 1.44/1.86 cnf('0.7.0.0',axiom,
% 1.44/1.86 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.7.1.0',plain,
% 1.44/1.86 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.44/1.86 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.44/1.86 cnf('0.7.2.0',plain,
% 1.44/1.86 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_7]).
% 1.44/1.86 cnf('0.8.0.0',axiom,
% 1.44/1.86 ( add(X1,inverse(X1)) = n1 ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.8.1.0',plain,
% 1.44/1.86 ( add(X1,inverse(X1)) = n1 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.44/1.86 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.44/1.86 cnf('0.8.2.0',plain,
% 1.44/1.86 ( add(X1,inverse(X1)) = n1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_8]).
% 1.44/1.86 cnf('0.9.0.0',axiom,
% 1.44/1.86 ( add(multiply(X1,X2),add(multiply(X2,X3),multiply(X3,X1))) = multiply(add(X1,X2),multiply(add(X2,X3),add(X3,X1))) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.9.1.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),add(multiply(X2,X3),multiply(X3,X1))) = multiply(add(X1,X2),multiply(add(X2,X3),add(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.44/1.86 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.44/1.86 cnf('0.9.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),add(multiply(X2,X3),multiply(X3,X1))) = multiply(add(X1,X2),multiply(add(X2,X3),add(X3,X1))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_9]).
% 1.44/1.86 cnf('0.10.0.0',axiom,
% 1.44/1.86 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.10.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.44/1.86 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.44/1.86 cnf('0.10.2.0',plain,
% 1.44/1.86 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_10]).
% 1.44/1.86 cnf('0.11.0.0',axiom,
% 1.44/1.86 ( multiply(X1,inverse(X1)) = n0 ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025')).
% 1.44/1.86 cnf('0.11.1.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(X1)) = n0 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.44/1.86 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.44/1.86 cnf('0.11.2.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(X1)) = n0 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_11]).
% 1.44/1.86 cnf('0.12.0.0',plain,
% 1.44/1.86 ( add(multiply(X1,inverse(X1)),X2) = X2 ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 1.44/1.86 cnf('0.12.0.1',plain,
% 1.44/1.86 ( add(n0,X2) = X2 ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.12.1.0',plain,
% 1.44/1.86 ( add(n0,X2) = X2 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.12.0.1']),
% 1.44/1.86 [weight('<19,3,11,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.12.2.0',plain,
% 1.44/1.86 ( add(n0,X1) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_12]).
% 1.44/1.86 cnf('0.13.0.0',plain,
% 1.44/1.86 ( inverse(n0) = n1 ),
% 1.44/1.86 inference(cp,[status(thm)],['0.12.2.0','0.8.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.13.1.0',plain,
% 1.44/1.86 ( inverse(n0) = n1 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.44/1.86 [weight('<11,12,8,[1,0,0,0]>')]).
% 1.44/1.86 cnf('0.13.2.0',plain,
% 1.44/1.86 ( inverse(n0) = n1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_13]).
% 1.44/1.86 cnf('0.14.0.0',plain,
% 1.44/1.86 ( multiply(add(X1,inverse(X1)),X2) = X2 ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 1.44/1.86 cnf('0.14.0.1',plain,
% 1.44/1.86 ( multiply(n1,X2) = X2 ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.14.0.0','0.8.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.14.1.0',plain,
% 1.44/1.86 ( multiply(n1,X2) = X2 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.14.0.1']),
% 1.44/1.86 [weight('<19,5,8,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.14.2.0',plain,
% 1.44/1.86 ( multiply(n1,X1) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_14]).
% 1.44/1.86 cnf('0.16.0.0',plain,
% 1.44/1.86 ( n0 = multiply(n0,n1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.11.2.0','0.13.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.16.1.0',plain,
% 1.44/1.86 ( n0 = multiply(n0,n1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.44/1.86 [weight('<19,13,11,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.16.2.0',plain,
% 1.44/1.86 ( multiply(n0,n1) = n0 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_16]).
% 1.44/1.86 cnf('0.18.0.0',plain,
% 1.44/1.86 ( n0 = add(n0,multiply(X1,n0)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.1.2.0','0.16.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.18.0.1',plain,
% 1.44/1.86 ( n0 = multiply(X1,n0) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.18.0.0','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.18.1.0',plain,
% 1.44/1.86 ( n0 = multiply(X1,n0) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.18.0.1']),
% 1.44/1.86 [weight('<19,16,1,[0,0,0,4]>')]).
% 1.44/1.86 cnf('0.18.2.0',plain,
% 1.44/1.86 ( multiply(X1,n0) = n0 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_18]).
% 1.44/1.86 cnf('0.20.0.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X2,n0)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.1.2.0','0.18.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.20.0.1',plain,
% 1.44/1.86 ( X1 = add(X1,n0) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.20.0.0','0.18.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.20.1.0',plain,
% 1.44/1.86 ( X1 = add(X1,n0) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.20.0.1']),
% 1.44/1.86 [weight('<19,18,1,[0,0,0,4]>')]).
% 1.44/1.86 cnf('0.20.2.0',plain,
% 1.44/1.86 ( add(X1,n0) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_20]).
% 1.44/1.86 cnf('0.22.0.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X2,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.22.1.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.44/1.86 [weight('<41,4,1,[0,0,0,4]>')]).
% 1.44/1.86 cnf('0.22.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,X1)) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_22]).
% 1.44/1.86 cnf('0.23.0.0',plain,
% 1.44/1.86 ( X1 = add(X1,X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.22.2.0','0.14.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.23.1.0',plain,
% 1.44/1.86 ( X1 = add(X1,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.44/1.86 [weight('<19,22,14,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.23.2.0',plain,
% 1.44/1.86 ( add(X1,X1) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_23]).
% 1.44/1.86 cnf('0.25.0.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.25.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.44/1.86 [weight('<41,4,1,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.25.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,X1)) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_25]).
% 1.44/1.86 cnf('0.26.0.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.26.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.26.0.0']),
% 1.44/1.86 [weight('<19,25,12,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.26.2.0',plain,
% 1.44/1.86 ( multiply(X1,X1) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_26]).
% 1.44/1.86 cnf('0.27.0.0',plain,
% 1.44/1.86 ( n0 = multiply(n0,X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.20.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.27.1.0',plain,
% 1.44/1.86 ( n0 = multiply(n0,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.44/1.86 [weight('<19,25,20,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.27.2.0',plain,
% 1.44/1.86 ( multiply(n0,X1) = n0 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_27]).
% 1.44/1.86 cnf('0.28.0.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.4.2.0','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.28.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.44/1.86 [weight('<41,12,4,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.28.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(X1,X2)) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_28]).
% 1.44/1.86 cnf('0.29.0.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.1.2.0','0.14.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.29.1.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.44/1.86 [weight('<41,14,1,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.29.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(X1,X2)) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_29]).
% 1.44/1.86 cnf('0.31.0.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.10.2.0','0.26.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.31.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.31.0.0']),
% 1.44/1.86 [weight('<53,26,10,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.31.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_31]).
% 1.44/1.86 cnf('0.32.0.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(add(X1,X2),X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.22.2.0','0.28.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.32.0.1',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,add(X2,X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.32.0.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.32.1.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,add(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.32.0.1']),
% 1.44/1.86 [weight('<53,28,22,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.32.2.0',plain,
% 1.44/1.86 ( add(X1,add(X2,X1)) = add(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_32]).
% 1.44/1.86 cnf('0.34.0.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(multiply(X1,X2),X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.29.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.34.0.1',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X1,multiply(X2,X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.34.0.0','0.10.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.34.1.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X1,multiply(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.34.0.1']),
% 1.44/1.86 [weight('<53,29,25,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.34.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,X1)) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_34]).
% 1.44/1.86 cnf('0.52.0.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.22.2.0','0.10.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.52.1.0',plain,
% 1.44/1.86 ( X1 = add(X1,multiply(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.52.0.0']),
% 1.44/1.86 [weight('<71,22,10,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.52.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,multiply(X3,X1))) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_52]).
% 1.44/1.86 cnf('0.53.0.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,add(X3,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.53.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,add(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.53.0.0']),
% 1.44/1.86 [weight('<71,25,7,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.53.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,add(X3,X1))) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_53]).
% 1.44/1.86 cnf('0.55.0.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X2,X1),X3)) = multiply(X1,X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.10.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.55.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X2,X1),X3)) = multiply(X1,X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.55.0.0']),
% 1.44/1.86 [weight('<87,25,10,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.55.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X2,X1),X3)) = multiply(X1,X3) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_55]).
% 1.44/1.86 cnf('0.57.0.0',plain,
% 1.44/1.86 ( multiply(add(X1,n0),multiply(add(n0,X2),add(X2,X1))) = add(multiply(X1,n0),add(n0,multiply(X2,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.9.2.0','0.27.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.1','L')]).
% 1.44/1.86 cnf('0.57.0.1',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(n0,X2),add(X2,X1))) = add(multiply(X1,n0),add(n0,multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.57.0.0','0.20.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.57.0.2',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X2,X1))) = add(multiply(X1,n0),add(n0,multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.57.0.1','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.1','L')]).
% 1.44/1.86 cnf('0.57.0.3',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X2,X1))) = add(n0,add(n0,multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.57.0.2','0.18.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.1','L')]).
% 1.44/1.86 cnf('0.57.0.4',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X2,X1))) = add(n0,multiply(X2,X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.57.0.3','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.57.0.5',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X2,X1))) = multiply(X2,X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.57.0.4','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.57.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X2,X1))) = multiply(X2,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.57.0.5']),
% 1.44/1.86 [weight('<87,27,9,[0,0,0,5]>')]).
% 1.44/1.86 cnf('0.57.1.1',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X2,X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.57.1.0','0.28.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.57.2.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X2,X1) ),
% 1.44/1.86 inference(activate,[status(thm)],['0.57.1.1']),
% 1.44/1.86 [equation_1]).
% 1.44/1.86 cnf('0.58.0.0',plain,
% 1.44/1.86 ( add(add(multiply(X1,X2),multiply(X2,X3)),X2) = X2 ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 1.44/1.86 cnf('0.58.0.1',plain,
% 1.44/1.86 ( add(multiply(X1,X2),add(multiply(X2,X3),X2)) = X2 ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.58.0.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.58.1.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),add(multiply(X2,X3),X2)) = X2 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.58.0.1']),
% 1.44/1.86 [weight('<?,2,7,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.58.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),add(multiply(X2,X3),X2)) = X2 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_57]).
% 1.44/1.86 cnf('0.59.0.0',plain,
% 1.44/1.86 ( X1 = add(multiply(X2,X1),add(X1,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.58.2.0','0.4.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.1','L')]).
% 1.44/1.86 cnf('0.59.0.1',plain,
% 1.44/1.86 ( X1 = add(multiply(X2,X1),X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.59.0.0','0.23.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.59.1.0',plain,
% 1.44/1.86 ( X1 = add(multiply(X2,X1),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.59.0.1']),
% 1.44/1.86 [weight('<41,58,4,[1,0,0,5]>')]).
% 1.44/1.86 cnf('0.59.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),X2) = X2 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_58]).
% 1.44/1.86 cnf('0.61.0.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(X2,add(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.59.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.61.0.1',plain,
% 1.44/1.86 ( add(X1,X2) = add(X2,X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.61.0.0','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.61.1.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(X2,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.61.0.1']),
% 1.44/1.86 [weight('<48,59,25,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.61.2.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(X2,X1) ),
% 1.44/1.86 inference(activate,[status(thm)],['0.61.1.0']),
% 1.44/1.86 [equation_2]).
% 1.44/1.86 cnf('0.62.0.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X1,X2),X3)) = multiply(X1,X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.10.2.0','0.28.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.62.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X1,X2),X3)) = multiply(X1,X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.62.0.0']),
% 1.44/1.86 [weight('<87,28,10,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.62.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X1,X2),X3)) = multiply(X1,X3) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_60]).
% 1.44/1.86 cnf('0.66.0.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(add(X1,X2),multiply(X3,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.52.2.0','0.28.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.66.0.1',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,add(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.66.0.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.66.1.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,add(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.66.0.1']),
% 1.44/1.86 [weight('<87,52,28,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.66.2.0',plain,
% 1.44/1.86 ( add(X1,add(X2,multiply(X3,X1))) = add(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_64]).
% 1.44/1.86 cnf('0.67.0.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(multiply(X1,X2),add(X3,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.53.2.0','0.29.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.67.0.1',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X1,multiply(X2,add(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.67.0.0','0.10.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.67.1.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X1,multiply(X2,add(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.67.0.1']),
% 1.44/1.86 [weight('<87,53,29,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.67.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X3,X1))) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_65]).
% 1.44/1.86 cnf('0.68.0.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(add(X1,X2),multiply(X1,X3)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.1.2.0','0.62.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.68.0.1',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.68.0.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.68.1.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.68.0.1']),
% 1.44/1.86 [weight('<87,62,1,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.68.2.0',plain,
% 1.44/1.86 ( add(X1,add(X2,multiply(X1,X3))) = add(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_66]).
% 1.44/1.86 cnf('0.69.0.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X1,X3))) = multiply(X1,multiply(add(X1,X3),X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.62.2.0','0.34.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.69.0.1',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X1,X3))) = multiply(X1,X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.69.0.0','0.62.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.69.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X1,X3))) = multiply(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.69.0.1']),
% 1.44/1.86 [weight('<87,62,34,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.69.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,add(X1,X3))) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_67]).
% 1.44/1.86 cnf('0.107.0.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,X3)) = multiply(X1,multiply(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.34.2.0','0.10.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.107.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,X3)) = multiply(X1,multiply(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.107.0.0']),
% 1.44/1.86 [weight('<103,34,10,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.107.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,multiply(X3,X1))) = multiply(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_105]).
% 1.44/1.86 cnf('0.132.0.0',plain,
% 1.44/1.86 ( add(X1,X2) = multiply(add(X1,X2),add(X3,add(X2,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.53.2.0','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.132.1.0',plain,
% 1.44/1.86 ( add(X1,X2) = multiply(add(X1,X2),add(X3,add(X2,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.132.0.0']),
% 1.44/1.86 [weight('<129,53,32,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.132.2.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,add(X2,X1))) = add(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_124]).
% 1.44/1.86 cnf('0.142.0.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = add(multiply(X1,X2),multiply(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.52.2.0','0.107.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.142.1.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = add(multiply(X1,X2),multiply(X2,multiply(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.142.0.0']),
% 1.44/1.86 [weight('<129,107,52,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.142.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X2,multiply(X3,X1))) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_134]).
% 1.44/1.86 cnf('0.284.0.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,X3)) = multiply(add(X1,multiply(X2,X3)),add(X2,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.68.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.284.1.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,X3)) = multiply(add(X1,multiply(X2,X3)),add(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.284.0.0']),
% 1.44/1.86 [weight('<149,68,25,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.284.1.1',plain,
% 1.44/1.86 ( add(X1,multiply(X2,X3)) = multiply(add(X2,X1),add(X1,multiply(X2,X3))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.284.1.0','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.284.2.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X2,multiply(X1,X3))) = add(X2,multiply(X1,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.284.1.1',theory(equality)]),
% 1.44/1.86 [x,rule_276]).
% 1.44/1.86 cnf('0.619.0.0',plain,
% 1.44/1.86 ( multiply(add(X1,inverse(X1)),multiply(add(inverse(X1),X2),add(X2,X1))) = add(n0,add(multiply(inverse(X1),X2),multiply(X2,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.9.2.0','0.11.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.619.0.1',plain,
% 1.44/1.86 ( multiply(n1,multiply(add(inverse(X1),X2),add(X2,X1))) = add(n0,add(multiply(inverse(X1),X2),multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.619.0.0','0.8.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.619.1.0',plain,
% 1.44/1.86 ( multiply(n1,multiply(add(inverse(X1),X2),add(X2,X1))) = add(n0,add(multiply(inverse(X1),X2),multiply(X2,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.619.0.1']),
% 1.44/1.86 [weight('<?,11,9,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.619.1.1',plain,
% 1.44/1.86 ( multiply(add(inverse(X1),X2),add(X2,X1)) = add(n0,add(multiply(inverse(X1),X2),multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.619.1.0','0.14.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.619.1.2',plain,
% 1.44/1.86 ( multiply(add(X2,X1),add(inverse(X1),X2)) = add(n0,add(multiply(inverse(X1),X2),multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.619.1.1','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.619.1.3',plain,
% 1.44/1.86 ( multiply(add(X2,X1),add(inverse(X1),X2)) = add(multiply(inverse(X1),X2),multiply(X2,X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.619.1.2','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.619.1.4',plain,
% 1.44/1.86 ( multiply(add(X2,X1),add(inverse(X1),X2)) = add(multiply(X2,X1),multiply(inverse(X1),X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.619.1.3','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.619.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(inverse(X2),X1)) = multiply(add(X1,X2),add(inverse(X2),X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.619.1.4',theory(equality)]),
% 1.44/1.86 [x,rule_611]).
% 1.44/1.86 cnf('0.670.0.0',plain,
% 1.44/1.86 ( multiply(add(X1,add(X2,X1)),multiply(add(add(X2,X1),X3),add(X3,X1))) = add(X1,add(multiply(add(X2,X1),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.9.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.670.0.1',plain,
% 1.44/1.86 ( multiply(add(X1,add(X2,X1)),multiply(add(X2,add(X1,X3)),add(X3,X1))) = add(X1,add(multiply(add(X2,X1),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.670.0.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.1','L')]).
% 1.44/1.86 cnf('0.670.1.0',plain,
% 1.44/1.86 ( multiply(add(X1,add(X2,X1)),multiply(add(X2,add(X1,X3)),add(X3,X1))) = add(X1,add(multiply(add(X2,X1),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.670.0.1']),
% 1.44/1.86 [weight('<?,25,9,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.670.1.1',plain,
% 1.44/1.86 ( multiply(add(X1,X2),multiply(add(X2,add(X1,X3)),add(X3,X1))) = add(X1,add(multiply(add(X2,X1),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.670.1.0','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.670.1.2',plain,
% 1.44/1.86 ( multiply(add(X1,X2),multiply(add(X3,X1),add(X2,add(X1,X3)))) = add(X1,add(multiply(add(X2,X1),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.670.1.1','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.670.1.3',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,add(multiply(add(X2,X1),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.670.1.2','0.132.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.670.1.4',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(add(X2,X1),X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.670.1.3','0.66.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.670.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(add(X2,X1),X3)) = multiply(add(X1,X2),add(X3,X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.670.1.4',theory(equality)]),
% 1.44/1.86 [x,rule_662]).
% 1.44/1.86 cnf('0.671.0.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(X3,add(X2,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.670.2.0','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.671.1.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(X3,add(X2,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.671.0.0']),
% 1.44/1.86 [weight('<119,670,0,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.671.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,add(X3,X1))) = multiply(add(X1,X3),add(X2,X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.671.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_663]).
% 1.44/1.86 cnf('0.874.0.0',plain,
% 1.44/1.86 ( multiply(add(X1,multiply(X1,X2)),multiply(add(multiply(X1,X2),X3),add(X3,X1))) = add(multiply(X1,X2),add(multiply(multiply(X1,X2),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.9.2.0','0.31.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.874.0.1',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(multiply(X1,X2),X3),add(X3,X1))) = add(multiply(X1,X2),add(multiply(multiply(X1,X2),X3),multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.874.0.0','0.29.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.874.0.2',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(multiply(X1,X2),X3),add(X3,X1))) = add(multiply(X1,X2),add(multiply(X1,multiply(X2,X3)),multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.874.0.1','0.10.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2.1','L')]).
% 1.44/1.86 cnf('0.874.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(multiply(X1,X2),X3),add(X3,X1))) = add(multiply(X1,X2),add(multiply(X1,multiply(X2,X3)),multiply(X3,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.874.0.2']),
% 1.44/1.86 [weight('<?,31,9,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.874.1.1',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X2),add(multiply(X1,multiply(X2,X3)),multiply(X3,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.874.1.0','0.67.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.874.1.2',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X2),add(multiply(X3,X1),multiply(X1,multiply(X2,X3)))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.874.1.1','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.874.1.3',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X2),multiply(X3,X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.874.1.2','0.142.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.874.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X3,X1)) = multiply(X1,add(multiply(X1,X2),X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.874.1.3',theory(equality)]),
% 1.44/1.86 [x,rule_865]).
% 1.44/1.86 cnf('0.875.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X3,X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.874.2.0','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.875.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X3,X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.875.0.0']),
% 1.44/1.86 [weight('<119,874,0,[1,0,0,0]>')]).
% 1.44/1.86 cnf('0.875.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X2,X3)) = multiply(X2,add(multiply(X2,X3),X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.875.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_866]).
% 1.44/1.86 cnf('0.877.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.874.2.0','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.877.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.877.0.0']),
% 1.44/1.86 [weight('<119,874,0,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.877.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(multiply(X1,X2),X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.877.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_868]).
% 1.44/1.86 cnf('0.878.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),inverse(X1))) = add(multiply(X1,X2),n0) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.877.2.0','0.11.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.878.0.1',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),inverse(X1))) = multiply(X1,X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.878.0.0','0.20.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.878.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),inverse(X1))) = multiply(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.878.0.1']),
% 1.44/1.86 [weight('<107,877,11,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.878.1.1',plain,
% 1.44/1.86 ( multiply(X1,add(inverse(X1),multiply(X1,X2))) = multiply(X1,X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.878.1.0','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.878.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(inverse(X1),multiply(X1,X2))) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.878.1.1',theory(equality)]),
% 1.44/1.86 [u,rule_869]).
% 1.44/1.86 cnf('0.880.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X3),multiply(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.875.2.0','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.880.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = add(multiply(X1,X3),multiply(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.880.0.0']),
% 1.44/1.86 [weight('<119,875,0,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.880.1.1',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(multiply(X1,X3),X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.880.1.0','0.877.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.880.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(multiply(X1,X3),X2)) ),
% 1.44/1.86 inference(activate,[status(thm)],['0.880.1.1']),
% 1.44/1.86 [equation_10]).
% 1.44/1.86 cnf('0.881.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.880.2.0','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.881.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.881.0.0']),
% 1.44/1.86 [weight('<119,880,0,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.881.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),X3)) = multiply(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.881.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_871]).
% 1.44/1.86 cnf('0.885.0.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(multiply(X1,X2),X3)) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.877.2.0'])).
% 1.44/1.86 cnf('0.885.0.1',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.885.0.0','0.881.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.885.1.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.885.0.1']),
% 1.44/1.86 [weight('<119,877,881,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.885.2.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,multiply(X1,X3))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.885.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_875]).
% 1.44/1.86 cnf('0.893.0.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,X3)) = add(X1,multiply(X2,add(X3,multiply(X2,X1)))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.66.2.0','0.885.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.893.1.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,X3)) = add(X1,multiply(X2,add(X3,multiply(X2,X1)))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.893.0.0']),
% 1.44/1.86 [weight('<149,885,66,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.893.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,add(X3,multiply(X2,X1)))) = add(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.893.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_881]).
% 1.44/1.86 cnf('0.895.0.0',plain,
% 1.44/1.86 ( add(multiply(X1,X2),multiply(inverse(X2),X1)) = multiply(add(X1,X2),add(inverse(X2),X1)) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.619.2.0'])).
% 1.44/1.86 cnf('0.895.0.1',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),inverse(X2))) = multiply(add(X1,X2),add(inverse(X2),X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.895.0.0','0.874.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.895.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(multiply(X1,X2),inverse(X2))) = multiply(add(X1,X2),add(inverse(X2),X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.895.0.1']),
% 1.44/1.86 [weight('<152,619,874,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.895.1.1',plain,
% 1.44/1.86 ( multiply(X1,add(X2,multiply(X1,inverse(X2)))) = multiply(add(X1,X2),add(inverse(X2),X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.895.1.0','0.881.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.895.2.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(inverse(X2),X1)) = multiply(X1,add(X2,multiply(X1,inverse(X2)))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.895.1.1',theory(equality)]),
% 1.44/1.86 [x,rule_883]).
% 1.44/1.86 cnf('0.897.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,multiply(X1,inverse(X2)))) = multiply(add(X1,X2),add(X1,inverse(X2))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.895.2.0','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.897.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,multiply(X1,inverse(X2)))) = multiply(add(X1,X2),add(X1,inverse(X2))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.897.0.0']),
% 1.44/1.86 [weight('<152,895,0,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.897.2.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X1,inverse(X2))) = multiply(X1,add(X2,multiply(X1,inverse(X2)))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.897.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_885]).
% 1.44/1.86 cnf('0.898.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(inverse(X1),multiply(X1,inverse(inverse(X1))))) = multiply(n1,add(X1,inverse(inverse(X1)))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.897.2.0','0.8.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.898.0.1',plain,
% 1.44/1.86 ( multiply(X1,inverse(inverse(X1))) = multiply(n1,add(X1,inverse(inverse(X1)))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.898.0.0','0.878.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.898.0.2',plain,
% 1.44/1.86 ( multiply(X1,inverse(inverse(X1))) = add(X1,inverse(inverse(X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.898.0.1','0.14.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.898.1.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(inverse(X1))) = add(X1,inverse(inverse(X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.898.0.2']),
% 1.44/1.86 [weight('<65,897,8,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.898.2.0',plain,
% 1.44/1.86 ( add(X1,inverse(inverse(X1))) = multiply(X1,inverse(inverse(X1))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.898.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_886]).
% 1.44/1.86 cnf('0.899.0.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,multiply(X1,inverse(inverse(X1)))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.28.2.0','0.898.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.899.0.1',plain,
% 1.44/1.86 ( X1 = multiply(X1,inverse(inverse(X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.899.0.0','0.31.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.899.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,inverse(inverse(X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.899.0.1']),
% 1.44/1.86 [weight('<41,898,28,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.899.2.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.899.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_887]).
% 1.44/1.86 cnf('0.900.0.0',plain,
% 1.44/1.86 ( add(X1,inverse(inverse(X1))) = multiply(X1,inverse(inverse(X1))) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.898.2.0'])).
% 1.44/1.86 cnf('0.900.0.1',plain,
% 1.44/1.86 ( add(X1,inverse(inverse(X1))) = X1 ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.900.0.0','0.899.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.900.1.0',plain,
% 1.44/1.86 ( add(X1,inverse(inverse(X1))) = X1 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.900.0.1']),
% 1.44/1.86 [weight('<41,898,899,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.900.2.0',plain,
% 1.44/1.86 ( add(X1,inverse(inverse(X1))) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.900.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_888]).
% 1.44/1.86 cnf('0.901.0.0',plain,
% 1.44/1.86 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.22.2.0','0.899.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.901.1.0',plain,
% 1.44/1.86 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.901.0.0']),
% 1.44/1.86 [weight('<53,899,22,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.901.1.1',plain,
% 1.44/1.86 ( inverse(inverse(X1)) = add(X1,inverse(inverse(X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.901.1.0','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.901.1.2',plain,
% 1.44/1.86 ( inverse(inverse(X1)) = X1 ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.901.1.1','0.900.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.901.2.0',plain,
% 1.44/1.86 ( inverse(inverse(X1)) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.901.1.2',theory(equality)]),
% 1.44/1.86 [u,rule_889]).
% 1.44/1.86 cnf('0.902.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,multiply(X2,add(X1,multiply(X2,inverse(X1))))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.55.2.0','0.897.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.902.0.1',plain,
% 1.44/1.86 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.902.0.0','0.69.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.902.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.902.0.1']),
% 1.44/1.86 [weight('<69,897,55,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.902.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.902.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_890]).
% 1.44/1.86 cnf('0.910.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(X1,inverse(X2))) = multiply(X1,multiply(X1,add(X2,multiply(X1,inverse(X2))))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.62.2.0','0.897.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.910.0.1',plain,
% 1.44/1.86 ( X1 = multiply(X1,multiply(X1,add(X2,multiply(X1,inverse(X2))))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.910.0.0','0.28.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.910.0.2',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,multiply(X1,inverse(X2)))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.910.0.1','0.31.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.910.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,add(X2,multiply(X1,inverse(X2)))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.910.0.2']),
% 1.44/1.86 [weight('<89,897,62,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.910.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,multiply(X1,inverse(X2)))) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.910.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_898]).
% 1.44/1.86 cnf('0.911.0.0',plain,
% 1.44/1.86 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.893.2.0','0.910.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.911.1.0',plain,
% 1.44/1.86 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.911.0.0']),
% 1.44/1.86 [weight('<76,910,893,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.911.2.0',plain,
% 1.44/1.86 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.911.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_899]).
% 1.44/1.86 cnf('0.912.0.0',plain,
% 1.44/1.86 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.911.2.0','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.912.1.0',plain,
% 1.44/1.86 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.912.0.0']),
% 1.44/1.86 [weight('<76,911,0,[1,0,0,3]>')]).
% 1.44/1.86 cnf('0.912.2.0',plain,
% 1.44/1.86 ( add(inverse(X1),multiply(X1,X2)) = add(inverse(X1),X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.912.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_900]).
% 1.44/1.86 cnf('0.914.0.0',plain,
% 1.44/1.86 ( add(inverse(inverse(X1)),X2) = add(X1,multiply(inverse(X1),X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.912.2.0','0.901.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.914.0.1',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,multiply(inverse(X1),X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.914.0.0','0.901.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.914.1.0',plain,
% 1.44/1.86 ( add(X1,X2) = add(X1,multiply(inverse(X1),X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.914.0.1']),
% 1.44/1.86 [weight('<69,912,901,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.914.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.914.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_902]).
% 1.44/1.86 cnf('0.1039.0.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X2,inverse(X1)),X3)) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.10.2.0','0.902.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.1039.0.1',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X2,inverse(X1)),X3)) = multiply(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.1039.0.0','0.10.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.1039.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X2,inverse(X1)),X3)) = multiply(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.1039.0.1']),
% 1.44/1.86 [weight('<125,902,10,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.1039.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(add(X2,inverse(X1)),X3)) = multiply(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.1039.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_1025]).
% 1.44/1.86 cnf('0.1040.0.0',plain,
% 1.44/1.86 ( add(X1,multiply(add(X2,inverse(inverse(X1))),X3)) = add(X1,multiply(inverse(X1),multiply(X2,X3))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.914.2.0','0.1039.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.1040.0.1',plain,
% 1.44/1.86 ( add(X1,multiply(add(X2,X1),X3)) = add(X1,multiply(inverse(X1),multiply(X2,X3))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.1040.0.0','0.901.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.1.2','L')]).
% 1.44/1.86 cnf('0.1040.0.2',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(inverse(X1),multiply(X2,X3))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.1040.0.1','0.670.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.1040.0.3',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.1040.0.2','0.914.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.1040.1.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.1040.0.3']),
% 1.44/1.86 [weight('<103,1039,914,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.1040.2.0',plain,
% 1.44/1.86 ( multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.1040.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_1026]).
% 1.44/1.86 cnf('0.1042.0.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,add(X3,X1))) = multiply(add(X1,X3),add(X2,X1)) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.671.2.0'])).
% 1.44/1.86 cnf('0.1042.0.1',plain,
% 1.44/1.86 ( add(X1,multiply(X2,add(X3,X1))) = add(X1,multiply(X3,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.1042.0.0','0.1040.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.1042.1.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,add(X3,X1))) = add(X1,multiply(X3,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.1042.0.1']),
% 1.44/1.86 [weight('<103,671,1040,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.1042.2.0',plain,
% 1.44/1.86 ( add(X1,multiply(X2,add(X3,X1))) = add(X1,multiply(X3,X2)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.1042.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_1028]).
% 1.44/1.86 cnf('0.1048.0.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,X3)) = multiply(multiply(X1,add(X2,X3)),add(X3,multiply(X2,X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.1042.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.1048.0.1',plain,
% 1.44/1.86 ( multiply(X1,add(X2,X3)) = multiply(X1,multiply(add(X2,X3),add(X3,multiply(X2,X1)))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.1048.0.0','0.10.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.1048.0.2',plain,
% 1.44/1.86 ( multiply(X1,add(X2,X3)) = multiply(X1,add(X3,multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.1048.0.1','0.284.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.1048.1.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,X3)) = multiply(X1,add(X3,multiply(X2,X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.1048.0.2']),
% 1.44/1.86 [weight('<103,1042,25,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.1048.2.0',plain,
% 1.44/1.86 ( multiply(X1,add(X2,multiply(X3,X1))) = multiply(X1,add(X3,X2)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.1048.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_1034]).
% 1.44/1.86 cnf('1.0.0.0',conjecture,
% 1.44/1.86 ( add(multiply(b,a),multiply(c,a)) = multiply(a,add(b,c)) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_3905_n025',conjecture_1)).
% 1.44/1.86 cnf('1.0.0.1',plain,
% 1.44/1.86 ( add(multiply(b,a),multiply(a,c)) = multiply(a,add(b,c)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['1.0.0.0','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('1.0.0.2',plain,
% 1.44/1.86 ( add(multiply(b,a),multiply(a,c)) = multiply(a,add(c,b)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['1.0.0.1','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('1.0.0.3',plain,
% 1.44/1.86 ( multiply(a,add(multiply(a,c),b)) = multiply(a,add(c,b)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['1.0.0.2','0.875.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('1.0.0.4',plain,
% 1.44/1.86 ( multiply(a,add(multiply(c,a),b)) = multiply(a,add(c,b)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['1.0.0.3','0.57.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.1','L')]).
% 1.44/1.86 cnf('1.0.0.5',plain,
% 1.44/1.86 ( multiply(a,add(b,multiply(c,a))) = multiply(a,add(c,b)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['1.0.0.4','0.61.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('1.0.0.6',plain,
% 1.44/1.86 ( multiply(a,add(c,b)) = multiply(a,add(c,b)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['1.0.0.5','0.1048.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('1.0.0.7',plain,
% 1.44/1.86 ( $true ),
% 1.44/1.86 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 1.44/1.86 [conjecture_1]).
% 1.44/1.86
% 1.44/1.86 Proved Goals:
% 1.44/1.86 No. 1: add(multiply(b,a),multiply(c,a)) ?= multiply(a,add(b,c)) joined, current: multiply(a,add(c,b)) = multiply(a,add(c,b))
% 1.44/1.86 1 goal was specified, which was proved.
% 1.44/1.86 % SZS output end CNFRefutation
% 1.44/1.86 #END OF PROOF
% 1.44/1.86
% 1.44/1.86 Problem WALDMEISTER_3905_n025
% 1.44/1.86 CPs.gen 492857
% 1.44/1.86 CPs.reexp 0
% 1.44/1.86 Select 28459
% 1.44/1.86 R 1034
% 1.44/1.86 E 14
% 1.44/1.86 vsize 9.0M
% 1.44/1.86 rss 4.6M
% 1.44/1.86 process.time 0.831s
% 1.44/1.86 wallclock.time 0.831s
% 1.44/1.86 status S
% 1.44/1.86
% 1.44/1.86
% 1.44/1.86 Waldmeister states: Goal proved.
% 1.44/1.86 % SZS status Unsatisfiable
%------------------------------------------------------------------------------