TSTP Solution File: BOO023-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO023-1 : 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 23:52:52 EDT 2022
% Result : Unsatisfiable 0.87s 1.24s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO023-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % 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 21:08:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/1.06 ********************************************************************************
% 0.68/1.06 * W A L D M E I S T E R \| \ / \|/ *
% 0.68/1.06 * |/ | \/ | *
% 0.68/1.06 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.68/1.06 * A. Jaeger and B. Loechner | | *
% 0.68/1.06 * <waldmeister@informatik.uni-kl.de> | *
% 0.68/1.06 ********************************************************************************
% 0.68/1.06
% 0.68/1.06
% 0.68/1.06 Goals:
% 0.68/1.06 ------
% 0.68/1.06
% 0.68/1.06 ( 1) multiply(add(a,b),add(a,c)) ?=? add(a,multiply(b,c))
% 0.68/1.06
% 0.68/1.06 Detected structure: Orkus
% 0.68/1.06 ********************************************************************************
% 0.68/1.06 ****************************** COMPLETION - PROOF ******************************
% 0.68/1.06 ********************************************************************************
% 0.68/1.06
% 0.87/1.24 joined goal: 1 multiply(add(a,b),add(a,c)) ?= add(a,multiply(b,c)) to add(multiply(b,c),a)
% 0.87/1.24 goal joined
% 0.87/1.24 % SZS status Unsatisfiable
% 0.87/1.24 #START OF PROOF
% 0.87/1.24 % SZS output start CNFRefutation
% 0.87/1.24 cnf('0.1.0.0',axiom,
% 0.87/1.24 ( X1 = multiply(add(X2,X1),X1) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025')).
% 0.87/1.24 cnf('0.1.1.0',plain,
% 0.87/1.24 ( X1 = multiply(add(X2,X1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.87/1.24 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.1.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,X2),X2) = X2 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_1]).
% 0.87/1.24 cnf('0.2.0.0',axiom,
% 0.87/1.24 ( X1 = pixley(X2,X2,X1) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025')).
% 0.87/1.24 cnf('0.2.1.0',plain,
% 0.87/1.24 ( X1 = pixley(X2,X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.87/1.24 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.2.2.0',plain,
% 0.87/1.24 ( pixley(X1,X1,X2) = X2 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_2]).
% 0.87/1.24 cnf('0.3.0.0',axiom,
% 0.87/1.24 ( X1 = pixley(X1,X2,X2) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025')).
% 0.87/1.24 cnf('0.3.1.0',plain,
% 0.87/1.24 ( X1 = pixley(X1,X2,X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.87/1.24 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.3.2.0',plain,
% 0.87/1.24 ( pixley(X1,X2,X2) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_3]).
% 0.87/1.24 cnf('0.4.0.0',axiom,
% 0.87/1.24 ( X1 = pixley(X1,X2,X1) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025')).
% 0.87/1.24 cnf('0.4.1.0',plain,
% 0.87/1.24 ( X1 = pixley(X1,X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.87/1.24 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.4.2.0',plain,
% 0.87/1.24 ( pixley(X1,X2,X1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_4]).
% 0.87/1.24 cnf('0.5.0.0',axiom,
% 0.87/1.24 ( multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025')).
% 0.87/1.24 cnf('0.5.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.87/1.24 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.87/1.24 cnf('0.5.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_5]).
% 0.87/1.24 cnf('0.6.0.0',axiom,
% 0.87/1.24 ( add(X1,inverse(X1)) = n1 ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025')).
% 0.87/1.24 cnf('0.6.1.0',plain,
% 0.87/1.24 ( add(X1,inverse(X1)) = n1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.87/1.24 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.87/1.24 cnf('0.6.2.0',plain,
% 0.87/1.24 ( add(X1,inverse(X1)) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_6]).
% 0.87/1.24 cnf('0.7.0.0',axiom,
% 0.87/1.24 ( add(multiply(X1,inverse(X2)),add(multiply(X1,X3),multiply(inverse(X2),X3))) = pixley(X1,X2,X3) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025')).
% 0.87/1.24 cnf('0.7.1.0',plain,
% 0.87/1.24 ( add(multiply(X1,inverse(X2)),add(multiply(X1,X3),multiply(inverse(X2),X3))) = pixley(X1,X2,X3) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.87/1.24 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.87/1.24 cnf('0.7.1.1',plain,
% 0.87/1.24 ( add(multiply(X1,inverse(X2)),multiply(X3,add(X1,inverse(X2)))) = pixley(X1,X2,X3) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.7.1.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.7.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,inverse(X2)),multiply(X3,add(X1,inverse(X2)))) = pixley(X1,X2,X3) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.7.1.1',theory(equality)]),
% 0.87/1.24 [u,rule_7]).
% 0.87/1.24 cnf('0.8.0.0',plain,
% 0.87/1.24 ( inverse(X1) = multiply(n1,inverse(X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.8.1.0',plain,
% 0.87/1.24 ( inverse(X1) = multiply(n1,inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.87/1.24 [weight('<34,6,1,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.8.2.0',plain,
% 0.87/1.24 ( multiply(n1,inverse(X1)) = inverse(X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_8]).
% 0.87/1.24 cnf('0.9.0.0',plain,
% 0.87/1.24 ( pixley(X1,X1,X2) = add(multiply(X1,inverse(X1)),multiply(X2,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2.2','L')]).
% 0.87/1.24 cnf('0.9.0.1',plain,
% 0.87/1.24 ( X2 = add(multiply(X1,inverse(X1)),multiply(X2,n1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.9.0.0','0.2.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.9.1.0',plain,
% 0.87/1.24 ( X2 = add(multiply(X1,inverse(X1)),multiply(X2,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.87/1.24 [weight('<89,7,6,[1,0,0,7]>')]).
% 0.87/1.24 cnf('0.9.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,inverse(X1)),multiply(X2,n1)) = X2 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_9]).
% 0.87/1.24 cnf('0.10.0.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = multiply(X1,multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.1.2.0','0.9.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.10.1.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = multiply(X1,multiply(X1,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.87/1.24 [weight('<53,9,1,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.10.2.0',plain,
% 0.87/1.24 ( multiply(X1,multiply(X1,n1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_10]).
% 0.87/1.24 cnf('0.11.0.0',plain,
% 0.87/1.24 ( X1 = add(inverse(n1),multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.9.2.0','0.8.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.11.1.0',plain,
% 0.87/1.24 ( X1 = add(inverse(n1),multiply(X1,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.87/1.24 [weight('<55,9,8,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.11.2.0',plain,
% 0.87/1.24 ( add(inverse(n1),multiply(X1,n1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_11]).
% 0.87/1.24 cnf('0.12.0.0',plain,
% 0.87/1.24 ( add(X1,n1) = add(inverse(n1),n1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.12.1.0',plain,
% 0.87/1.24 ( add(X1,n1) = add(inverse(n1),n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.87/1.24 [weight('<63,11,1,[1,0,0,3]>')]).
% 0.87/1.24 cnf('0.12.2.0',plain,
% 0.87/1.24 ( add(X1,n1) = add(inverse(n1),n1) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.12.1.0']),
% 0.87/1.24 [equation_1]).
% 0.87/1.24 cnf('0.12.2.2',plain,
% 0.87/1.24 ( add(c,n1) = add(inverse(n1),n1) ),
% 0.87/1.24 inference(instl,[status(thm)],['0.12.2.0',theory(equality)])).
% 0.87/1.24 cnf('0.13.0.0',plain,
% 0.87/1.24 ( add(X1,n1) = add(X2,n1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.12.2.0','0.12.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','R')]).
% 0.87/1.24 cnf('0.13.1.0',plain,
% 0.87/1.24 ( add(X1,n1) = add(X2,n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.87/1.24 [weight('<48,12,12,[1,1,1,0]>')]).
% 0.87/1.24 cnf('0.13.2.0',plain,
% 0.87/1.24 ( add(X1,n1) = add(X2,n1) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.13.1.0']),
% 0.87/1.24 [equation_2]).
% 0.87/1.24 cnf('0.13.2.1',plain,
% 0.87/1.24 ( add(X1,n1) = add(c,n1) ),
% 0.87/1.24 inference(instr,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.87/1.24 cnf('0.13.2.2',plain,
% 0.87/1.24 ( add(c,n1) = add(X1,n1) ),
% 0.87/1.24 inference(instl,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.87/1.24 cnf('0.14.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(add(X2,X1),X3)) = add(X1,multiply(X3,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.14.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(add(X2,X1),X3)) = add(X1,multiply(X3,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.87/1.24 [weight('<103,5,1,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.14.2.0',plain,
% 0.87/1.24 ( multiply(X1,add(add(X2,X1),X3)) = add(X1,multiply(X3,X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_12]).
% 0.87/1.24 cnf('0.15.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,add(X3,X1))) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.15.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,add(X3,X1))) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.87/1.24 [weight('<103,5,1,[1,0,0,4]>')]).
% 0.87/1.24 cnf('0.15.2.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,add(X3,X1))) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_13]).
% 0.87/1.24 cnf('0.17.0.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(n1,X2)) = add(inverse(X1),multiply(X2,inverse(X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.17.1.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(n1,X2)) = add(inverse(X1),multiply(X2,inverse(X1))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.87/1.24 [weight('<111,8,5,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.17.2.0',plain,
% 0.87/1.24 ( add(inverse(X1),multiply(X2,inverse(X1))) = multiply(inverse(X1),add(n1,X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_15]).
% 0.87/1.24 cnf('0.20.0.0',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,add(X2,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.14.2.0','0.13.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.20.1.0',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,add(X2,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.87/1.24 [weight('<120,14,13,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.20.2.0',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,add(X2,n1)) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.20.1.0']),
% 0.87/1.24 [equation_3]).
% 0.87/1.24 cnf('0.20.2.1',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,add(c,n1)) ),
% 0.87/1.24 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.87/1.24 cnf('0.22.0.0',plain,
% 0.87/1.24 ( multiply(X1,X2) = multiply(multiply(X2,add(X3,X1)),multiply(X1,X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.22.1.0',plain,
% 0.87/1.24 ( multiply(X1,X2) = multiply(multiply(X2,add(X3,X1)),multiply(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.87/1.24 [weight('<129,5,1,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.22.2.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,add(X2,X3)),multiply(X3,X1)) = multiply(X3,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_19]).
% 0.87/1.24 cnf('0.25.0.0',plain,
% 0.87/1.24 ( pixley(n1,X1,X2) = add(inverse(X1),multiply(X2,add(n1,inverse(X1)))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.25.1.0',plain,
% 0.87/1.24 ( pixley(n1,X1,X2) = add(inverse(X1),multiply(X2,add(n1,inverse(X1)))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.87/1.24 [weight('<139,8,7,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.25.2.0',plain,
% 0.87/1.24 ( add(inverse(X1),multiply(X2,add(n1,inverse(X1)))) = pixley(n1,X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_22]).
% 0.87/1.24 cnf('0.28.0.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,n1)) = add(inverse(X1),inverse(X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.20.2.0','0.8.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.28.1.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,n1)) = add(inverse(X1),inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.87/1.24 [weight('<143,20,8,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.28.2.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,n1)) = add(inverse(X1),inverse(X1)) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.28.1.0']),
% 0.87/1.24 [equation_5]).
% 0.87/1.24 cnf('0.28.2.2',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(c,n1)) = add(inverse(X1),inverse(X1)) ),
% 0.87/1.24 inference(instl,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.87/1.24 cnf('0.29.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,add(X3,X1))) = multiply(add(X3,X1),multiply(X1,add(X2,add(X3,X1)))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.22.2.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.29.0.1',plain,
% 0.87/1.24 ( add(multiply(X2,X1),X1) = multiply(add(X3,X1),multiply(X1,add(X2,add(X3,X1)))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.29.0.0','0.15.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.29.0.2',plain,
% 0.87/1.24 ( add(multiply(X2,X1),X1) = multiply(add(X3,X1),add(multiply(X2,X1),X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.29.0.1','0.15.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.29.1.0',plain,
% 0.87/1.24 ( add(multiply(X2,X1),X1) = multiply(add(X3,X1),add(multiply(X2,X1),X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.87/1.24 [weight('<149,22,1,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.29.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,X2),add(multiply(X3,X2),X2)) = add(multiply(X3,X2),X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_24]).
% 0.87/1.24 cnf('0.30.0.0',plain,
% 0.87/1.24 ( add(multiply(add(X1,X2),X2),X2) = multiply(add(X3,X2),add(X2,X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.29.2.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2.1','L')]).
% 0.87/1.24 cnf('0.30.0.1',plain,
% 0.87/1.24 ( add(X2,X2) = multiply(add(X3,X2),add(X2,X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.30.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.30.1.0',plain,
% 0.87/1.24 ( add(X2,X2) = multiply(add(X3,X2),add(X2,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.87/1.24 [weight('<87,29,1,[1,0,0,5]>')]).
% 0.87/1.24 cnf('0.30.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,X2),add(X2,X2)) = add(X2,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_25]).
% 0.87/1.24 cnf('0.31.0.0',plain,
% 0.87/1.24 ( add(n1,n1) = multiply(add(X1,n1),add(X2,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.30.2.0','0.13.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.31.1.0',plain,
% 0.87/1.24 ( add(n1,n1) = multiply(add(X1,n1),add(X2,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.87/1.24 [weight('<87,30,13,[1,0,0,4]>')]).
% 0.87/1.24 cnf('0.31.1.1',plain,
% 0.87/1.24 ( add(c,n1) = multiply(add(X1,n1),add(X2,n1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.31.1.0','0.13.2.1',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.31.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,n1),add(X2,n1)) = add(c,n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.31.1.1',theory(equality)]),
% 0.87/1.24 [x,rule_26]).
% 0.87/1.24 cnf('0.32.0.0',plain,
% 0.87/1.24 ( add(multiply(X1,n1),multiply(X1,n1)) = multiply(X1,add(multiply(X1,n1),multiply(X1,n1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.30.2.0','0.9.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.32.0.1',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X1)) = multiply(X1,add(multiply(X1,n1),multiply(X1,n1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.32.0.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.32.0.2',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X1)) = multiply(X1,multiply(n1,add(X1,X1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.32.0.1','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.32.1.0',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X1)) = multiply(X1,multiply(n1,add(X1,X1))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.32.0.2']),
% 0.87/1.24 [weight('<103,30,9,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.32.2.0',plain,
% 0.87/1.24 ( multiply(X1,multiply(n1,add(X1,X1))) = multiply(n1,add(X1,X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_27]).
% 0.87/1.24 cnf('0.46.0.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X1,X2)) = add(multiply(X1,n1),multiply(X2,multiply(X1,n1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.46.1.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X1,X2)) = add(multiply(X1,n1),multiply(X2,multiply(X1,n1))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.87/1.24 [weight('<169,10,5,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.46.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,n1),multiply(X2,multiply(X1,n1))) = multiply(multiply(X1,n1),add(X1,X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_41]).
% 0.87/1.24 cnf('0.47.0.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X1,X1)) = add(multiply(X1,n1),multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.46.2.0','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.47.0.1',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X1,X1)) = multiply(n1,add(X1,X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.47.0.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.47.1.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X1,X1)) = multiply(n1,add(X1,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.87/1.24 [weight('<103,46,10,[1,0,0,4]>')]).
% 0.87/1.24 cnf('0.47.2.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X1,X1)) = multiply(n1,add(X1,X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_42]).
% 0.87/1.24 cnf('0.49.0.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X2,X1)) = add(multiply(X2,multiply(X1,n1)),multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.49.1.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),add(X2,X1)) = add(multiply(X2,multiply(X1,n1)),multiply(X1,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.87/1.24 [weight('<169,10,5,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.49.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,multiply(X2,n1)),multiply(X2,n1)) = multiply(multiply(X2,n1),add(X1,X2)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_44]).
% 0.87/1.24 cnf('0.56.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,inverse(X3))) = multiply(pixley(X2,X3,X1),multiply(X1,add(X2,inverse(X3)))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.56.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,inverse(X3))) = multiply(pixley(X2,X3,X1),multiply(X1,add(X2,inverse(X3)))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.87/1.24 [weight('<?,7,1,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.56.2.0',plain,
% 0.87/1.24 ( multiply(pixley(X1,X2,X3),multiply(X3,add(X1,inverse(X2)))) = multiply(X3,add(X1,inverse(X2))) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_51]).
% 0.87/1.24 cnf('0.58.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,inverse(X1))) = multiply(X2,multiply(X1,add(X2,inverse(X1)))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.56.2.0','0.3.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.58.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,inverse(X1))) = multiply(X2,multiply(X1,add(X2,inverse(X1)))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.87/1.24 [weight('<134,56,3,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.58.2.0',plain,
% 0.87/1.24 ( multiply(X1,multiply(X2,add(X1,inverse(X2)))) = multiply(X2,add(X1,inverse(X2))) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_53]).
% 0.87/1.24 cnf('0.61.0.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(X2,multiply(X1,n1))) = add(multiply(X2,add(X1,X1)),multiply(n1,add(X1,X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.47.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.61.0.1',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(X2,multiply(X1,n1))) = multiply(add(X1,X1),add(X2,n1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.61.0.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.61.1.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(X2,multiply(X1,n1))) = multiply(add(X1,X1),add(X2,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.87/1.24 [weight('<169,47,5,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.61.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(X2,multiply(X1,n1))) = multiply(add(X1,X1),add(X2,n1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_56]).
% 0.87/1.24 cnf('0.62.0.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(inverse(n1),n1)) = multiply(add(X1,X1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.61.2.0','0.11.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.62.0.1',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(inverse(n1),n1)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.62.0.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.62.1.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(inverse(n1),n1)) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.87/1.24 [weight('<89,61,11,[1,0,0,4]>')]).
% 0.87/1.24 cnf('0.62.1.1',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(c,n1)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.62.1.0','0.13.2.1',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.62.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(c,n1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.62.1.1',theory(equality)]),
% 0.87/1.24 [u,rule_57]).
% 0.87/1.24 cnf('0.63.0.0',plain,
% 0.87/1.24 ( n1 = multiply(add(X1,n1),add(c,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.62.2.0','0.13.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.63.0.1',plain,
% 0.87/1.24 ( n1 = add(c,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.63.0.0','0.31.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.63.1.0',plain,
% 0.87/1.24 ( n1 = add(c,n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.87/1.24 [weight('<19,62,13,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.63.2.0',plain,
% 0.87/1.24 ( add(c,n1) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_58]).
% 0.87/1.24 cnf('0.65.0.0',plain,
% 0.87/1.24 ( n1 = add(X1,n1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.63.2.0','0.13.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.65.1.0',plain,
% 0.87/1.24 ( n1 = add(X1,n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.87/1.24 [weight('<19,63,13,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.65.2.0',plain,
% 0.87/1.24 ( add(X1,n1) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_60]).
% 0.87/1.24 cnf('0.66.0.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),add(c,n1)) = X1 ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 0.87/1.24 cnf('0.66.0.1',plain,
% 0.87/1.24 ( multiply(add(X1,X1),n1) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.66.1.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),n1) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.66.0.1']),
% 0.87/1.24 [weight('<41,62,63,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.66.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),n1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_61]).
% 0.87/1.24 cnf('0.67.0.0',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,add(X2,n1)) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.87/1.24 cnf('0.67.0.1',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.67.0.0','0.65.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.67.1.0',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.87/1.24 [weight('<53,20,65,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.67.2.0',plain,
% 0.87/1.24 ( add(X1,multiply(n1,X1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_62]).
% 0.87/1.24 cnf('0.69.0.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,n1)) = add(inverse(X1),inverse(X1)) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.87/1.24 cnf('0.69.0.1',plain,
% 0.87/1.24 ( multiply(inverse(X1),n1) = add(inverse(X1),inverse(X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.69.0.0','0.65.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.69.1.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),n1) = add(inverse(X1),inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.87/1.24 [weight('<59,28,65,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.69.2.0',plain,
% 0.87/1.24 ( add(inverse(X1),inverse(X1)) = multiply(inverse(X1),n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_64]).
% 0.87/1.24 cnf('0.70.0.0',plain,
% 0.87/1.24 ( inverse(X1) = multiply(multiply(inverse(X1),n1),n1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.66.2.0','0.69.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.70.1.0',plain,
% 0.87/1.24 ( inverse(X1) = multiply(multiply(inverse(X1),n1),n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.87/1.24 [weight('<62,69,66,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.70.2.0',plain,
% 0.87/1.24 ( multiply(multiply(inverse(X1),n1),n1) = inverse(X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_65]).
% 0.87/1.24 cnf('0.72.0.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),n1) = add(inverse(n1),inverse(X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.11.2.0','0.70.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.72.1.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),n1) = add(inverse(n1),inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.72.0.0']),
% 0.87/1.24 [weight('<59,70,11,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.72.2.0',plain,
% 0.87/1.24 ( add(inverse(n1),inverse(X1)) = multiply(inverse(X1),n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_67]).
% 0.87/1.24 cnf('0.73.0.0',plain,
% 0.87/1.24 ( multiply(inverse(inverse(n1)),n1) = n1 ),
% 0.87/1.24 inference(cp,[status(thm)],['0.72.2.0','0.6.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.73.1.0',plain,
% 0.87/1.24 ( multiply(inverse(inverse(n1)),n1) = n1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.87/1.24 [weight('<41,72,6,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.73.2.0',plain,
% 0.87/1.24 ( multiply(inverse(inverse(n1)),n1) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_68]).
% 0.87/1.24 cnf('0.74.0.0',plain,
% 0.87/1.24 ( inverse(inverse(n1)) = add(multiply(X1,inverse(X1)),n1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.9.2.0','0.73.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.74.0.1',plain,
% 0.87/1.24 ( inverse(inverse(n1)) = n1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.74.0.0','0.65.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.74.1.0',plain,
% 0.87/1.24 ( inverse(inverse(n1)) = n1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.74.0.1']),
% 0.87/1.24 [weight('<19,73,9,[0,0,0,5]>')]).
% 0.87/1.24 cnf('0.74.2.0',plain,
% 0.87/1.24 ( inverse(inverse(n1)) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_69]).
% 0.87/1.24 cnf('0.75.0.0',plain,
% 0.87/1.24 ( X1 = add(multiply(inverse(n1),n1),multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.9.2.0','0.74.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1.2','L')]).
% 0.87/1.24 cnf('0.75.0.1',plain,
% 0.87/1.24 ( X1 = multiply(n1,add(inverse(n1),X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.75.0.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.75.1.0',plain,
% 0.87/1.24 ( X1 = multiply(n1,add(inverse(n1),X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.75.0.1']),
% 0.87/1.24 [weight('<55,74,9,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.75.2.0',plain,
% 0.87/1.24 ( multiply(n1,add(inverse(n1),X1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_70]).
% 0.87/1.24 cnf('0.76.0.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = multiply(n1,X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.75.2.0','0.11.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.76.1.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = multiply(n1,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.87/1.24 [weight('<48,75,11,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.76.2.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = multiply(n1,X1) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.76.1.0']),
% 0.87/1.24 [equation_6]).
% 0.87/1.24 cnf('0.77.0.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),n1) = X1 ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.66.2.0'])).
% 0.87/1.24 cnf('0.77.1.0',plain,
% 0.87/1.24 ( multiply(add(X1,X1),n1) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.77.0.0']),
% 0.87/1.24 [weight('<41,66,76,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.77.1.1',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X1)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.77.1.0','0.76.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.77.2.0',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.77.1.1',theory(equality)]),
% 0.87/1.24 [u,rule_71]).
% 0.87/1.24 cnf('0.78.0.0',plain,
% 0.87/1.24 ( multiply(X1,multiply(n1,add(X1,X1))) = multiply(n1,add(X1,X1)) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.87/1.24 cnf('0.78.0.1',plain,
% 0.87/1.24 ( multiply(X1,X1) = multiply(n1,add(X1,X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.78.0.0','0.77.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.78.0.2',plain,
% 0.87/1.24 ( multiply(X1,X1) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.78.0.1','0.77.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.78.1.0',plain,
% 0.87/1.24 ( multiply(X1,X1) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.78.0.2']),
% 0.87/1.24 [weight('<19,32,77,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.78.2.0',plain,
% 0.87/1.24 ( multiply(X1,X1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_72]).
% 0.87/1.24 cnf('0.80.0.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = add(X1,multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.67.2.0','0.76.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','R')]).
% 0.87/1.24 cnf('0.80.1.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = add(X1,multiply(X1,n1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.87/1.24 [weight('<53,76,67,[0,1,0,2]>')]).
% 0.87/1.24 cnf('0.80.2.0',plain,
% 0.87/1.24 ( add(X1,multiply(X1,n1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_74]).
% 0.87/1.24 cnf('0.81.0.0',plain,
% 0.87/1.24 ( add(multiply(X1,n1),multiply(X1,n1)) = multiply(multiply(X1,n1),add(multiply(X1,n1),multiply(X1,n1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.30.2.0','0.80.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.81.0.1',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X1)) = multiply(multiply(X1,n1),add(multiply(X1,n1),multiply(X1,n1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.81.0.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.81.0.2',plain,
% 0.87/1.24 ( X1 = multiply(multiply(X1,n1),add(multiply(X1,n1),multiply(X1,n1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.81.0.1','0.77.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.81.0.3',plain,
% 0.87/1.24 ( X1 = multiply(multiply(X1,n1),multiply(n1,add(X1,X1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.81.0.2','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.81.0.4',plain,
% 0.87/1.24 ( X1 = multiply(multiply(X1,n1),X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.81.0.3','0.77.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.81.1.0',plain,
% 0.87/1.24 ( X1 = multiply(multiply(X1,n1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.81.0.4']),
% 0.87/1.24 [weight('<41,80,30,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.81.2.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),X1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_75]).
% 0.87/1.24 cnf('0.82.0.0',plain,
% 0.87/1.24 ( X1 = multiply(multiply(n1,X1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.81.2.0','0.76.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.82.1.0',plain,
% 0.87/1.24 ( X1 = multiply(multiply(n1,X1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.82.0.0']),
% 0.87/1.24 [weight('<41,81,76,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.82.2.0',plain,
% 0.87/1.24 ( multiply(multiply(n1,X1),X1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_76]).
% 0.87/1.24 cnf('0.84.0.0',plain,
% 0.87/1.24 ( X1 = add(inverse(n1),multiply(n1,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.11.2.0','0.76.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.84.1.0',plain,
% 0.87/1.24 ( X1 = add(inverse(n1),multiply(n1,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.84.0.0']),
% 0.87/1.24 [weight('<55,76,11,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.84.2.0',plain,
% 0.87/1.24 ( add(inverse(n1),multiply(n1,X1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_78]).
% 0.87/1.24 cnf('0.87.0.0',plain,
% 0.87/1.24 ( add(X1,X1) = add(inverse(n1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.84.2.0','0.77.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.87.1.0',plain,
% 0.87/1.24 ( add(X1,X1) = add(inverse(n1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.87.0.0']),
% 0.87/1.24 [weight('<63,84,77,[1,0,0,3]>')]).
% 0.87/1.24 cnf('0.87.2.0',plain,
% 0.87/1.24 ( add(X1,X1) = add(inverse(n1),X1) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.87.1.0']),
% 0.87/1.24 [equation_7]).
% 0.87/1.24 cnf('0.89.0.0',plain,
% 0.87/1.24 ( pixley(X1,inverse(n1),X2) = add(multiply(X1,n1),multiply(X2,add(X1,inverse(inverse(n1))))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.7.2.0','0.74.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1.2','L')]).
% 0.87/1.24 cnf('0.89.0.1',plain,
% 0.87/1.24 ( pixley(X1,inverse(n1),X2) = add(multiply(X1,n1),multiply(X2,add(X1,n1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.89.0.0','0.74.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2.2.2','L')]).
% 0.87/1.24 cnf('0.89.0.2',plain,
% 0.87/1.24 ( pixley(X1,inverse(n1),X2) = add(multiply(X1,n1),multiply(X2,n1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.89.0.1','0.65.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2.2','L')]).
% 0.87/1.24 cnf('0.89.0.3',plain,
% 0.87/1.24 ( pixley(X1,inverse(n1),X2) = multiply(n1,add(X1,X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.89.0.2','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.89.1.0',plain,
% 0.87/1.24 ( pixley(X1,inverse(n1),X2) = multiply(n1,add(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.89.0.3']),
% 0.87/1.24 [weight('<65,74,7,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.89.2.0',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X2)) = pixley(X1,inverse(n1),X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_82]).
% 0.87/1.24 cnf('0.93.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X2,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.78.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.93.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X2,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.93.0.0']),
% 0.87/1.24 [weight('<65,78,5,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.93.2.0',plain,
% 0.87/1.24 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X2,X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_86]).
% 0.87/1.24 cnf('0.94.0.0',plain,
% 0.87/1.24 ( add(X1,multiply(multiply(n1,X1),X1)) = multiply(X1,multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.93.2.0','0.67.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.94.0.1',plain,
% 0.87/1.24 ( add(X1,X1) = multiply(X1,multiply(X1,n1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.94.0.0','0.82.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.94.0.2',plain,
% 0.87/1.24 ( add(X1,X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.94.0.1','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.94.1.0',plain,
% 0.87/1.24 ( add(X1,X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.94.0.2']),
% 0.87/1.24 [weight('<48,93,67,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.94.2.0',plain,
% 0.87/1.24 ( add(X1,X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.94.1.0']),
% 0.87/1.24 [equation_8]).
% 0.87/1.24 cnf('0.95.0.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = add(inverse(n1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.94.2.0','0.87.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.95.1.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = add(inverse(n1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.95.0.0']),
% 0.87/1.24 [weight('<39,94,87,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.95.2.0',plain,
% 0.87/1.24 ( add(inverse(n1),X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_87]).
% 0.87/1.24 cnf('0.96.0.0',plain,
% 0.87/1.24 ( add(inverse(n1),multiply(X1,n1)) = X1 ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.87/1.24 cnf('0.96.0.1',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),n1) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.96.0.0','0.95.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.96.1.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),n1) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.96.0.1']),
% 0.87/1.24 [weight('<41,11,95,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.96.1.1',plain,
% 0.87/1.24 ( multiply(n1,multiply(X1,n1)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.96.1.0','0.76.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.96.2.0',plain,
% 0.87/1.24 ( multiply(n1,multiply(X1,n1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.96.1.1',theory(equality)]),
% 0.87/1.24 [u,rule_88]).
% 0.87/1.24 cnf('0.100.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X1)) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.78.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.100.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X1)) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.100.0.0']),
% 0.87/1.24 [weight('<65,78,5,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.100.2.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X1)) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_91]).
% 0.87/1.24 cnf('0.105.0.0',plain,
% 0.87/1.24 ( add(multiply(inverse(n1),X1),X1) = multiply(X1,multiply(X1,n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.100.2.0','0.95.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.105.0.1',plain,
% 0.87/1.24 ( add(multiply(inverse(n1),X1),X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.105.0.0','0.10.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.105.1.0',plain,
% 0.87/1.24 ( add(multiply(inverse(n1),X1),X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.105.0.1']),
% 0.87/1.24 [weight('<69,100,95,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.105.2.0',plain,
% 0.87/1.24 ( add(multiply(inverse(n1),X1),X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_96]).
% 0.87/1.24 cnf('0.106.0.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),n1) = multiply(multiply(X1,n1),add(inverse(n1),X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.105.2.0','0.49.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.106.0.1',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),n1) = multiply(multiply(X1,n1),multiply(X1,n1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.106.0.0','0.95.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.106.0.2',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),n1) = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.106.0.1','0.78.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.106.1.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,n1),n1) = multiply(X1,n1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.106.0.2']),
% 0.87/1.24 [weight('<53,105,49,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.106.1.1',plain,
% 0.87/1.24 ( multiply(n1,multiply(X1,n1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.106.1.0','0.76.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.106.1.2',plain,
% 0.87/1.24 ( X1 = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.106.1.1','0.96.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.106.2.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.106.1.2',theory(equality)]),
% 0.87/1.24 [x,rule_97]).
% 0.87/1.24 cnf('0.107.0.0',plain,
% 0.87/1.24 ( pixley(add(X1,inverse(X2)),X2,X3) = add(inverse(X2),multiply(X3,add(add(X1,inverse(X2)),inverse(X2)))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.107.1.0',plain,
% 0.87/1.24 ( pixley(add(X1,inverse(X2)),X2,X3) = add(inverse(X2),multiply(X3,add(add(X1,inverse(X2)),inverse(X2)))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.87/1.24 [weight('<?,7,1,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.107.2.0',plain,
% 0.87/1.24 ( add(inverse(X1),multiply(X2,add(add(X3,inverse(X1)),inverse(X1)))) = pixley(add(X3,inverse(X1)),X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_98]).
% 0.87/1.24 cnf('0.108.0.0',plain,
% 0.87/1.24 ( multiply(X1,n1) = multiply(n1,X1) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.76.2.0'])).
% 0.87/1.24 cnf('0.108.0.1',plain,
% 0.87/1.24 ( X1 = multiply(n1,X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.108.0.0','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.108.1.0',plain,
% 0.87/1.24 ( X1 = multiply(n1,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.108.0.1']),
% 0.87/1.24 [weight('<19,76,106,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.108.2.0',plain,
% 0.87/1.24 ( multiply(n1,X1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_99]).
% 0.87/1.24 cnf('0.109.0.0',plain,
% 0.87/1.24 ( add(X1,multiply(X1,n1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.80.2.0'])).
% 0.87/1.24 cnf('0.109.0.1',plain,
% 0.87/1.24 ( add(X1,X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.109.0.0','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.109.0.2',plain,
% 0.87/1.24 ( add(X1,X1) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.109.0.1','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.109.1.0',plain,
% 0.87/1.24 ( add(X1,X1) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.109.0.2']),
% 0.87/1.24 [weight('<19,80,106,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.109.2.0',plain,
% 0.87/1.24 ( add(X1,X1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_100]).
% 0.87/1.24 cnf('0.110.0.0',plain,
% 0.87/1.24 ( add(inverse(n1),X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.95.2.0'])).
% 0.87/1.24 cnf('0.110.0.1',plain,
% 0.87/1.24 ( add(inverse(n1),X1) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.110.0.0','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.110.1.0',plain,
% 0.87/1.24 ( add(inverse(n1),X1) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.110.0.1']),
% 0.87/1.24 [weight('<29,95,106,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.110.2.0',plain,
% 0.87/1.24 ( add(inverse(n1),X1) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_101]).
% 0.87/1.24 cnf('0.111.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,n1)) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.108.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.111.0.1',plain,
% 0.87/1.24 ( multiply(X1,n1) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.111.0.0','0.65.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.111.0.2',plain,
% 0.87/1.24 ( X1 = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.111.0.1','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.111.1.0',plain,
% 0.87/1.24 ( X1 = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.111.0.2']),
% 0.87/1.24 [weight('<41,108,5,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.111.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,X2),X2) = X2 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_102]).
% 0.87/1.24 cnf('0.112.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X1)) = add(multiply(X2,X1),X1) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.100.2.0'])).
% 0.87/1.24 cnf('0.112.0.1',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.112.0.0','0.111.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.112.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.112.0.1']),
% 0.87/1.24 [weight('<41,100,111,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.112.2.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_103]).
% 0.87/1.24 cnf('0.114.0.0',plain,
% 0.87/1.24 ( multiply(X1,X2) = multiply(X2,add(X1,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.109.2.0','0.5.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.114.0.1',plain,
% 0.87/1.24 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.114.0.0','0.109.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.114.1.0',plain,
% 0.87/1.24 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.114.0.1']),
% 0.87/1.24 [weight('<48,109,5,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.114.2.0',plain,
% 0.87/1.24 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.114.1.0']),
% 0.87/1.24 [equation_10]).
% 0.87/1.24 cnf('0.116.0.0',plain,
% 0.87/1.24 ( multiply(n1,add(X1,X2)) = pixley(X1,inverse(n1),X2) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.89.2.0'])).
% 0.87/1.24 cnf('0.116.0.1',plain,
% 0.87/1.24 ( add(X1,X2) = pixley(X1,inverse(n1),X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.116.0.0','0.108.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.116.1.0',plain,
% 0.87/1.24 ( add(X1,X2) = pixley(X1,inverse(n1),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.116.0.1']),
% 0.87/1.24 [weight('<53,89,108,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.116.2.0',plain,
% 0.87/1.24 ( pixley(X1,inverse(n1),X2) = add(X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_106]).
% 0.87/1.24 cnf('0.117.0.0',plain,
% 0.87/1.24 ( add(X1,inverse(n1)) = X1 ),
% 0.87/1.24 inference(cp,[status(thm)],['0.116.2.0','0.3.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.117.1.0',plain,
% 0.87/1.24 ( add(X1,inverse(n1)) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.117.0.0']),
% 0.87/1.24 [weight('<29,116,3,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.117.2.0',plain,
% 0.87/1.24 ( add(X1,inverse(n1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_107]).
% 0.87/1.24 cnf('0.119.0.0',plain,
% 0.87/1.24 ( inverse(n1) = multiply(inverse(n1),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.112.2.0','0.117.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.119.1.0',plain,
% 0.87/1.24 ( inverse(n1) = multiply(inverse(n1),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.119.0.0']),
% 0.87/1.24 [weight('<34,117,112,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.119.2.0',plain,
% 0.87/1.24 ( multiply(inverse(n1),X1) = inverse(n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_109]).
% 0.87/1.24 cnf('0.120.0.0',plain,
% 0.87/1.24 ( inverse(n1) = multiply(X1,add(inverse(n1),inverse(X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.119.2.0','0.58.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.120.0.1',plain,
% 0.87/1.24 ( inverse(n1) = multiply(X1,inverse(X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.120.0.0','0.110.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.120.1.0',plain,
% 0.87/1.24 ( inverse(n1) = multiply(X1,inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.120.0.1']),
% 0.87/1.24 [weight('<34,119,58,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.120.2.0',plain,
% 0.87/1.24 ( multiply(X1,inverse(X1)) = inverse(n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_110]).
% 0.87/1.24 cnf('0.121.0.0',plain,
% 0.87/1.24 ( pixley(add(X1,inverse(n1)),n1,X2) = add(inverse(n1),multiply(X2,add(X1,inverse(n1)))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.107.2.0','0.117.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2.2','L')]).
% 0.87/1.24 cnf('0.121.0.1',plain,
% 0.87/1.24 ( pixley(X1,n1,X2) = add(inverse(n1),multiply(X2,add(X1,inverse(n1)))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.121.0.0','0.117.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.121.0.2',plain,
% 0.87/1.24 ( pixley(X1,n1,X2) = multiply(X2,add(X1,inverse(n1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.121.0.1','0.110.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.121.0.3',plain,
% 0.87/1.24 ( pixley(X1,n1,X2) = multiply(X2,X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.121.0.2','0.117.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.121.1.0',plain,
% 0.87/1.24 ( pixley(X1,n1,X2) = multiply(X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.121.0.3']),
% 0.87/1.24 [weight('<39,117,107,[0,0,0,5]>')]).
% 0.87/1.24 cnf('0.121.2.0',plain,
% 0.87/1.24 ( pixley(X1,n1,X2) = multiply(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_111]).
% 0.87/1.24 cnf('0.123.0.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,add(X1,X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.111.2.0','0.112.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.123.1.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,add(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.123.0.0']),
% 0.87/1.24 [weight('<53,112,111,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.123.2.0',plain,
% 0.87/1.24 ( add(X1,add(X2,X1)) = add(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_113]).
% 0.87/1.24 cnf('0.126.0.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(n1,X1)) = add(inverse(X1),inverse(n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.17.2.0','0.120.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.126.0.1',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(n1,X1)) = inverse(X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.126.0.0','0.117.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.126.1.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(n1,X1)) = inverse(X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.126.0.1']),
% 0.87/1.24 [weight('<62,120,17,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.126.2.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(n1,X1)) = inverse(X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_116]).
% 0.87/1.24 cnf('0.127.0.0',plain,
% 0.87/1.24 ( pixley(n1,X1,inverse(inverse(X1))) = add(multiply(n1,inverse(X1)),inverse(inverse(X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.7.2.0','0.126.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.127.0.1',plain,
% 0.87/1.24 ( pixley(n1,X1,inverse(inverse(X1))) = add(inverse(X1),inverse(inverse(X1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.127.0.0','0.108.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.1','L')]).
% 0.87/1.24 cnf('0.127.0.2',plain,
% 0.87/1.24 ( pixley(n1,X1,inverse(inverse(X1))) = n1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.127.0.1','0.6.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.127.1.0',plain,
% 0.87/1.24 ( pixley(n1,X1,inverse(inverse(X1))) = n1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.127.0.2']),
% 0.87/1.24 [weight('<55,126,7,[0,0,0,5]>')]).
% 0.87/1.24 cnf('0.127.2.0',plain,
% 0.87/1.24 ( pixley(n1,X1,inverse(inverse(X1))) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_117]).
% 0.87/1.24 cnf('0.130.0.0',plain,
% 0.87/1.24 ( pixley(n1,X1,n1) = add(inverse(X1),add(n1,inverse(X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.25.2.0','0.108.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.130.0.1',plain,
% 0.87/1.24 ( n1 = add(inverse(X1),add(n1,inverse(X1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.130.0.0','0.4.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.130.1.0',plain,
% 0.87/1.24 ( n1 = add(inverse(X1),add(n1,inverse(X1))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.130.0.1']),
% 0.87/1.24 [weight('<71,108,25,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.130.1.1',plain,
% 0.87/1.24 ( n1 = add(n1,inverse(X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.130.1.0','0.123.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.130.2.0',plain,
% 0.87/1.24 ( add(n1,inverse(X1)) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.130.1.1',theory(equality)]),
% 0.87/1.24 [x,rule_120]).
% 0.87/1.24 cnf('0.131.0.0',plain,
% 0.87/1.24 ( add(inverse(X1),multiply(X2,add(n1,inverse(X1)))) = pixley(n1,X1,X2) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 0.87/1.24 cnf('0.131.0.1',plain,
% 0.87/1.24 ( add(inverse(X1),multiply(X2,n1)) = pixley(n1,X1,X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.131.0.0','0.130.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2.2','L')]).
% 0.87/1.24 cnf('0.131.0.2',plain,
% 0.87/1.24 ( add(inverse(X1),X2) = pixley(n1,X1,X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.131.0.1','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.131.1.0',plain,
% 0.87/1.24 ( add(inverse(X1),X2) = pixley(n1,X1,X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.131.0.2']),
% 0.87/1.24 [weight('<44,25,130,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.131.2.0',plain,
% 0.87/1.24 ( add(inverse(X1),X2) = pixley(n1,X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_121]).
% 0.87/1.24 cnf('0.137.0.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X1,X2)) = add(inverse(n1),multiply(X2,inverse(X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.120.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.137.0.1',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X1,X2)) = multiply(X2,inverse(X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.137.0.0','0.110.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.137.1.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X1,X2)) = multiply(X2,inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.137.0.1']),
% 0.87/1.24 [weight('<76,120,5,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.137.2.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X1,X2)) = multiply(X2,inverse(X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_127]).
% 0.87/1.24 cnf('0.138.0.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,X1)) = add(multiply(X2,inverse(X1)),inverse(n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.120.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.138.0.1',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,X1)) = multiply(X2,inverse(X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.138.0.0','0.117.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.138.1.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,X1)) = multiply(X2,inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.138.0.1']),
% 0.87/1.24 [weight('<76,120,5,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.138.2.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),add(X2,X1)) = multiply(X2,inverse(X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_128]).
% 0.87/1.24 cnf('0.139.0.0',plain,
% 0.87/1.24 ( multiply(X1,inverse(inverse(X1))) = multiply(inverse(inverse(X1)),n1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.138.2.0','0.6.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.139.0.1',plain,
% 0.87/1.24 ( multiply(X1,inverse(inverse(X1))) = inverse(inverse(X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.139.0.0','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.139.1.0',plain,
% 0.87/1.24 ( multiply(X1,inverse(inverse(X1))) = inverse(inverse(X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.139.0.1']),
% 0.87/1.24 [weight('<53,138,6,[1,0,0,3]>')]).
% 0.87/1.24 cnf('0.139.2.0',plain,
% 0.87/1.24 ( multiply(X1,inverse(inverse(X1))) = inverse(inverse(X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_129]).
% 0.87/1.24 cnf('0.144.0.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(inverse(X2),X2) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.138.2.0','0.111.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.144.1.0',plain,
% 0.87/1.24 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(inverse(X2),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.144.0.0']),
% 0.87/1.24 [weight('<76,138,111,[1,0,0,3]>')]).
% 0.87/1.24 cnf('0.144.1.1',plain,
% 0.87/1.24 ( multiply(inverse(X2),multiply(X1,X2)) = multiply(inverse(X2),X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.144.1.0','0.114.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.144.1.2',plain,
% 0.87/1.24 ( multiply(inverse(X2),multiply(X1,X2)) = multiply(X2,inverse(X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.144.1.1','0.114.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.144.1.3',plain,
% 0.87/1.24 ( multiply(inverse(X2),multiply(X1,X2)) = inverse(n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.144.1.2','0.120.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.144.2.0',plain,
% 0.87/1.24 ( multiply(inverse(X1),multiply(X2,X1)) = inverse(n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.144.1.3',theory(equality)]),
% 0.87/1.24 [u,rule_134]).
% 0.87/1.24 cnf('0.161.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X3,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.114.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.161.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X3,X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.161.0.0']),
% 0.87/1.24 [weight('<103,114,5,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.161.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,X2),multiply(X3,X1)) = multiply(X1,add(X2,X3)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_151]).
% 0.87/1.24 cnf('0.162.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(inverse(X1),X2)) = add(inverse(n1),multiply(X2,X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.161.2.0','0.120.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.162.0.1',plain,
% 0.87/1.24 ( multiply(X1,pixley(n1,X1,X2)) = add(inverse(n1),multiply(X2,X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.162.0.0','0.131.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.162.0.2',plain,
% 0.87/1.24 ( multiply(X1,pixley(n1,X1,X2)) = pixley(n1,n1,multiply(X2,X1)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.162.0.1','0.131.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.162.0.3',plain,
% 0.87/1.24 ( multiply(X1,pixley(n1,X1,X2)) = multiply(multiply(X2,X1),n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.162.0.2','0.121.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.162.0.4',plain,
% 0.87/1.24 ( multiply(X1,pixley(n1,X1,X2)) = multiply(X2,X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.162.0.3','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.162.1.0',plain,
% 0.87/1.24 ( multiply(X1,pixley(n1,X1,X2)) = multiply(X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.162.0.4']),
% 0.87/1.24 [weight('<69,161,120,[1,0,0,1]>')]).
% 0.87/1.24 cnf('0.162.2.0',plain,
% 0.87/1.24 ( multiply(X1,pixley(n1,X1,X2)) = multiply(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_152]).
% 0.87/1.24 cnf('0.163.0.0',plain,
% 0.87/1.24 ( multiply(inverse(inverse(X1)),X1) = multiply(X1,n1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.162.2.0','0.127.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.163.0.1',plain,
% 0.87/1.24 ( multiply(inverse(inverse(X1)),X1) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.163.0.0','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.163.1.0',plain,
% 0.87/1.24 ( multiply(inverse(inverse(X1)),X1) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.163.0.1']),
% 0.87/1.24 [weight('<41,162,127,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.163.1.1',plain,
% 0.87/1.24 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.163.1.0','0.114.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.163.1.2',plain,
% 0.87/1.24 ( inverse(inverse(X1)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.163.1.1','0.139.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.163.2.0',plain,
% 0.87/1.24 ( inverse(inverse(X1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.163.1.2',theory(equality)]),
% 0.87/1.24 [u,rule_153]).
% 0.87/1.24 cnf('0.164.0.0',plain,
% 0.87/1.24 ( n1 = add(n1,X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.130.2.0','0.163.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.164.1.0',plain,
% 0.87/1.24 ( n1 = add(n1,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.164.0.0']),
% 0.87/1.24 [weight('<19,163,130,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.164.2.0',plain,
% 0.87/1.24 ( add(n1,X1) = n1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_154]).
% 0.87/1.24 cnf('0.166.0.0',plain,
% 0.87/1.24 ( add(X1,multiply(X2,X1)) = multiply(X1,add(n1,X2)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.14.2.0','0.164.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2.1','L')]).
% 0.87/1.24 cnf('0.166.0.1',plain,
% 0.87/1.24 ( add(X1,multiply(X2,X1)) = multiply(X1,n1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.166.0.0','0.164.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.2','L')]).
% 0.87/1.24 cnf('0.166.0.2',plain,
% 0.87/1.24 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.166.0.1','0.106.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.166.1.0',plain,
% 0.87/1.24 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.166.0.2']),
% 0.87/1.24 [weight('<41,164,14,[0,0,0,3]>')]).
% 0.87/1.24 cnf('0.166.2.0',plain,
% 0.87/1.24 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_156]).
% 0.87/1.24 cnf('0.167.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X2,X1)) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.93.2.0'])).
% 0.87/1.24 cnf('0.167.0.1',plain,
% 0.87/1.24 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.167.0.0','0.166.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.167.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.167.0.1']),
% 0.87/1.24 [weight('<41,93,166,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.167.2.0',plain,
% 0.87/1.24 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.87/1.24 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_157]).
% 0.87/1.24 cnf('0.169.0.0',plain,
% 0.87/1.24 ( pixley(n1,inverse(X1),X2) = add(X1,X2) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.131.2.0','0.163.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.169.1.0',plain,
% 0.87/1.24 ( pixley(n1,inverse(X1),X2) = add(X1,X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.169.0.0']),
% 0.87/1.24 [weight('<53,163,131,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.169.2.0',plain,
% 0.87/1.24 ( pixley(n1,inverse(X1),X2) = add(X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_159]).
% 0.87/1.24 cnf('0.172.0.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(add(X1,X2),X2) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.166.2.0','0.112.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.172.1.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(add(X1,X2),X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.172.0.0']),
% 0.87/1.24 [weight('<53,166,112,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.172.2.0',plain,
% 0.87/1.24 ( add(add(X1,X2),X2) = add(X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_162]).
% 0.87/1.24 cnf('0.174.0.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(add(X1,X2),X1) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.166.2.0','0.167.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.174.1.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(add(X1,X2),X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.174.0.0']),
% 0.87/1.24 [weight('<53,167,166,[0,0,0,2]>')]).
% 0.87/1.24 cnf('0.174.2.0',plain,
% 0.87/1.24 ( add(add(X1,X2),X1) = add(X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_164]).
% 0.87/1.24 cnf('0.175.0.0',plain,
% 0.87/1.24 ( inverse(n1) = multiply(X1,multiply(X2,inverse(X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.144.2.0','0.163.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.175.1.0',plain,
% 0.87/1.24 ( inverse(n1) = multiply(X1,multiply(X2,inverse(X1))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.175.0.0']),
% 0.87/1.24 [weight('<62,163,144,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.175.2.0',plain,
% 0.87/1.24 ( multiply(X1,multiply(X2,inverse(X1))) = inverse(n1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.175.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_165]).
% 0.87/1.24 cnf('0.387.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X1,X3)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.114.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.387.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X1,X3)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.387.0.0']),
% 0.87/1.24 [weight('<103,114,5,[0,0,0,4]>')]).
% 0.87/1.24 cnf('0.387.2.0',plain,
% 0.87/1.24 ( add(multiply(X1,X2),multiply(X2,X3)) = multiply(X2,add(X1,X3)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.387.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_377]).
% 0.87/1.24 cnf('0.431.0.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,multiply(X3,inverse(X1)))) = add(multiply(X2,X1),inverse(n1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.387.2.0','0.175.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.431.0.1',plain,
% 0.87/1.24 ( multiply(X1,add(X2,multiply(X3,inverse(X1)))) = multiply(X2,X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.431.0.0','0.117.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.431.1.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,multiply(X3,inverse(X1)))) = multiply(X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.431.0.1']),
% 0.87/1.24 [weight('<107,387,175,[1,0,0,4]>')]).
% 0.87/1.24 cnf('0.431.2.0',plain,
% 0.87/1.24 ( multiply(X1,add(X2,multiply(X3,inverse(X1)))) = multiply(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.431.1.0',theory(equality)]),
% 0.87/1.24 [u,rule_419]).
% 0.87/1.24 cnf('0.515.0.0',plain,
% 0.87/1.24 ( add(inverse(X1),multiply(X2,add(add(X3,inverse(X1)),inverse(X1)))) = pixley(add(X3,inverse(X1)),X1,X2) ),
% 0.87/1.24 inference(interreduction_right,[status(thm)],['0.107.2.0'])).
% 0.87/1.24 cnf('0.515.0.1',plain,
% 0.87/1.24 ( pixley(n1,X1,multiply(X2,add(add(X3,inverse(X1)),inverse(X1)))) = pixley(add(X3,inverse(X1)),X1,X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.515.0.0','0.131.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.515.1.0',plain,
% 0.87/1.24 ( pixley(n1,X1,multiply(X2,add(add(X3,inverse(X1)),inverse(X1)))) = pixley(add(X3,inverse(X1)),X1,X2) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.515.0.1']),
% 0.87/1.24 [weight('<?,107,131,[0,0,0,0]>')]).
% 0.87/1.24 cnf('0.515.1.1',plain,
% 0.87/1.24 ( pixley(n1,X1,multiply(X2,add(X3,inverse(X1)))) = pixley(add(X3,inverse(X1)),X1,X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.515.1.0','0.172.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.3.2','L')]).
% 0.87/1.24 cnf('0.515.2.0',plain,
% 0.87/1.24 ( pixley(n1,X1,multiply(X2,add(X3,inverse(X1)))) = pixley(add(X3,inverse(X1)),X1,X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.515.1.1',theory(equality)]),
% 0.87/1.24 [u,rule_503]).
% 0.87/1.24 cnf('0.516.0.0',plain,
% 0.87/1.24 ( pixley(add(X1,inverse(X2)),X2,inverse(inverse(X2))) = pixley(n1,X2,multiply(X1,inverse(inverse(X2)))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.515.2.0','0.138.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.3','L')]).
% 0.87/1.24 cnf('0.516.0.1',plain,
% 0.87/1.24 ( pixley(add(X1,inverse(X2)),X2,X2) = pixley(n1,X2,multiply(X1,inverse(inverse(X2)))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.516.0.0','0.163.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.3','L')]).
% 0.87/1.24 cnf('0.516.0.2',plain,
% 0.87/1.24 ( add(X1,inverse(X2)) = pixley(n1,X2,multiply(X1,inverse(inverse(X2)))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.516.0.1','0.3.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.516.0.3',plain,
% 0.87/1.24 ( add(X1,inverse(X2)) = pixley(n1,X2,multiply(X1,X2)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.516.0.2','0.163.2.0',theory(equality)]),
% 0.87/1.24 [pos('R.3.2','L')]).
% 0.87/1.24 cnf('0.516.1.0',plain,
% 0.87/1.24 ( add(X1,inverse(X2)) = pixley(n1,X2,multiply(X1,X2)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.516.0.3']),
% 0.87/1.24 [weight('<76,515,138,[1,0,0,3]>')]).
% 0.87/1.24 cnf('0.516.2.0',plain,
% 0.87/1.24 ( pixley(n1,X1,multiply(X2,X1)) = add(X2,inverse(X1)) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_504]).
% 0.87/1.24 cnf('0.517.0.0',plain,
% 0.87/1.24 ( add(X1,inverse(inverse(X2))) = add(X2,multiply(X1,inverse(X2))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.516.2.0','0.169.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.517.0.1',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,multiply(X1,inverse(X2))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.517.0.0','0.163.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.517.1.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,multiply(X1,inverse(X2))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.517.0.1']),
% 0.87/1.24 [weight('<69,516,169,[1,0,0,0]>')]).
% 0.87/1.24 cnf('0.517.2.0',plain,
% 0.87/1.24 ( add(X1,multiply(X2,inverse(X1))) = add(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.517.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_505]).
% 0.87/1.24 cnf('0.518.0.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,multiply(inverse(X2),X1)) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.517.2.0','0.114.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.518.1.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,multiply(inverse(X2),X1)) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.518.0.0']),
% 0.87/1.24 [weight('<69,517,114,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.518.2.0',plain,
% 0.87/1.24 ( add(X1,multiply(inverse(X1),X2)) = add(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.518.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_506]).
% 0.87/1.24 cnf('0.519.0.0',plain,
% 0.87/1.24 ( add(add(X1,X2),X1) = add(X1,multiply(X2,inverse(X1))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.518.2.0','0.137.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.519.0.1',plain,
% 0.87/1.24 ( add(X1,X2) = add(X1,multiply(X2,inverse(X1))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.519.0.0','0.174.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.519.0.2',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,X1) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.519.0.1','0.517.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.519.1.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,X1) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.519.0.2']),
% 0.87/1.24 [weight('<48,518,137,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.519.2.0',plain,
% 0.87/1.24 ( add(X1,X2) = add(X2,X1) ),
% 0.87/1.24 inference(activate,[status(thm)],['0.519.1.0']),
% 0.87/1.24 [equation_13]).
% 0.87/1.24 cnf('0.525.0.0',plain,
% 0.87/1.24 ( add(add(X1,multiply(X2,inverse(inverse(X3)))),X3) = add(X3,multiply(X1,inverse(X3))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.518.2.0','0.431.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.525.0.1',plain,
% 0.87/1.24 ( add(add(X1,multiply(X2,X3)),X3) = add(X3,multiply(X1,inverse(X3))) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.525.0.0','0.163.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1.2.2','L')]).
% 0.87/1.24 cnf('0.525.0.2',plain,
% 0.87/1.24 ( add(add(X1,multiply(X2,X3)),X3) = add(X1,X3) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.525.0.1','0.517.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.525.1.0',plain,
% 0.87/1.24 ( add(add(X1,multiply(X2,X3)),X3) = add(X1,X3) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.525.0.2']),
% 0.87/1.24 [weight('<87,518,431,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.525.1.1',plain,
% 0.87/1.24 ( add(X3,add(X1,multiply(X2,X3))) = add(X1,X3) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.525.1.0','0.519.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('0.525.2.0',plain,
% 0.87/1.24 ( add(X1,add(X2,multiply(X3,X1))) = add(X2,X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.525.1.1',theory(equality)]),
% 0.87/1.24 [u,rule_512]).
% 0.87/1.24 cnf('0.534.0.0',plain,
% 0.87/1.24 ( add(multiply(X1,X2),X3) = add(X3,multiply(X2,add(X1,X3))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.525.2.0','0.387.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.2','L')]).
% 0.87/1.24 cnf('0.534.1.0',plain,
% 0.87/1.24 ( add(multiply(X1,X2),X3) = add(X3,multiply(X2,add(X1,X3))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.534.0.0']),
% 0.87/1.24 [weight('<103,525,387,[1,0,0,2]>')]).
% 0.87/1.24 cnf('0.534.2.0',plain,
% 0.87/1.24 ( add(X1,multiply(X2,add(X3,X1))) = add(multiply(X3,X2),X1) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.534.1.0',theory(equality)]),
% 0.87/1.24 [x,rule_521]).
% 0.87/1.24 cnf('0.566.0.0',plain,
% 0.87/1.24 ( multiply(add(X1,X2),add(X2,X3)) = add(X2,multiply(X3,add(X1,X2))) ),
% 0.87/1.24 inference(cp,[status(thm)],['0.5.2.0','0.112.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('0.566.1.0',plain,
% 0.87/1.24 ( multiply(add(X1,X2),add(X2,X3)) = add(X2,multiply(X3,add(X1,X2))) ),
% 0.87/1.24 inference(weigh,[status(thm)],['0.566.0.0']),
% 0.87/1.24 [weight('<?,112,5,[0,0,0,1]>')]).
% 0.87/1.24 cnf('0.566.1.1',plain,
% 0.87/1.24 ( multiply(add(X1,X2),add(X2,X3)) = add(multiply(X1,X3),X2) ),
% 0.87/1.24 inference(reduction,[status(thm)],['0.566.1.0','0.534.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('0.566.2.0',plain,
% 0.87/1.24 ( multiply(add(X1,X2),add(X2,X3)) = add(multiply(X1,X3),X2) ),
% 0.87/1.24 inference(orient,[status(thm)],['0.566.1.1',theory(equality)]),
% 0.87/1.24 [u,rule_551]).
% 0.87/1.24 cnf('1.0.0.0',conjecture,
% 0.87/1.24 ( multiply(add(a,b),add(a,c)) = add(a,multiply(b,c)) ),
% 0.87/1.24 file('/tmp/WALDMEISTER_6431_n025',conjecture_1)).
% 0.87/1.24 cnf('1.0.0.1',plain,
% 0.87/1.24 ( multiply(add(b,a),add(a,c)) = add(a,multiply(b,c)) ),
% 0.87/1.24 inference(reduction,[status(thm)],['1.0.0.0','0.519.2.0',theory(equality)]),
% 0.87/1.24 [pos('L.1','L')]).
% 0.87/1.24 cnf('1.0.0.2',plain,
% 0.87/1.24 ( multiply(add(b,a),add(a,c)) = add(multiply(b,c),a) ),
% 0.87/1.24 inference(reduction,[status(thm)],['1.0.0.1','0.519.2.0',theory(equality)]),
% 0.87/1.24 [pos('R','L')]).
% 0.87/1.24 cnf('1.0.0.3',plain,
% 0.87/1.24 ( add(multiply(b,c),a) = add(multiply(b,c),a) ),
% 0.87/1.24 inference(reduction,[status(thm)],['1.0.0.2','0.566.2.0',theory(equality)]),
% 0.87/1.24 [pos('L','L')]).
% 0.87/1.24 cnf('1.0.0.4',plain,
% 0.87/1.24 ( $true ),
% 0.87/1.24 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.87/1.24 [conjecture_1]).
% 0.87/1.24
% 0.87/1.24 Proved Goals:
% 0.87/1.24 No. 1: multiply(add(a,b),add(a,c)) ?= add(a,multiply(b,c)) joined, current: add(multiply(b,c),a) = add(multiply(b,c),a)
% 0.87/1.24 1 goal was specified, which was proved.
% 0.87/1.24 % SZS output end CNFRefutation
% 0.87/1.24 #END OF PROOF
% 0.87/1.24
% 0.87/1.24 Problem WALDMEISTER_6431_n025
% 0.87/1.24 CPs.gen 74787
% 0.87/1.24 CPs.reexp 0
% 0.87/1.24 Select 4549
% 0.87/1.24 R 551
% 0.87/1.24 E 15
% 0.87/1.24 vsize 6.6M
% 0.87/1.24 rss 4.1M
% 0.87/1.24 process.time 0.182s
% 0.87/1.24 wallclock.time 0.182s
% 0.87/1.24 status S
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Waldmeister states: Goal proved.
% 0.87/1.24 % SZS status Unsatisfiable
%------------------------------------------------------------------------------