TSTP Solution File: RNG009-5 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG009-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 : Mon Jul 18 20:47:23 EDT 2022
% Result : Unsatisfiable 0.94s 1.35s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG009-5 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 16:50:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.96 * |/ | \/ | *
% 0.56/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.96 * A. Jaeger and B. Loechner | | *
% 0.56/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Goals:
% 0.56/0.96 ------
% 0.56/0.96
% 0.56/0.96 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.56/0.96
% 0.56/0.96 Detected structure: Ring
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.94/1.35 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.94/1.35 goal joined
% 0.94/1.35 % SZS status Unsatisfiable
% 0.94/1.35 #START OF PROOF
% 0.94/1.35 % SZS output start CNFRefutation
% 0.94/1.35 cnf('0.1.0.0',axiom,
% 0.94/1.35 ( X1 = add(X1,additive_identity) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.1.1.0',plain,
% 0.94/1.35 ( X1 = add(X1,additive_identity) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.94/1.35 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.1.2.0',plain,
% 0.94/1.35 ( add(X1,additive_identity) = X1 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_1]).
% 0.94/1.35 cnf('0.2.0.0',axiom,
% 0.94/1.35 ( X1 = multiply(X1,multiply(X1,X1)) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.2.1.0',plain,
% 0.94/1.35 ( X1 = multiply(X1,multiply(X1,X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.94/1.35 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.2.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,X1)) = X1 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_2]).
% 0.94/1.35 cnf('0.3.0.0',axiom,
% 0.94/1.35 ( add(X1,X2) = add(X2,X1) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.3.1.0',plain,
% 0.94/1.35 ( add(X1,X2) = add(X2,X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.94/1.35 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.94/1.35 cnf('0.3.2.0',plain,
% 0.94/1.35 ( add(X1,X2) = add(X2,X1) ),
% 0.94/1.35 inference(activate,[status(thm)],['0.3.1.0']),
% 0.94/1.35 [equation_1]).
% 0.94/1.35 cnf('0.4.0.0',axiom,
% 0.94/1.35 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.4.1.0',plain,
% 0.94/1.35 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.94/1.35 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.94/1.35 cnf('0.4.2.0',plain,
% 0.94/1.35 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_3]).
% 0.94/1.35 cnf('0.5.0.0',axiom,
% 0.94/1.35 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.5.1.0',plain,
% 0.94/1.35 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.94/1.35 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.94/1.35 cnf('0.5.2.0',plain,
% 0.94/1.35 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_4]).
% 0.94/1.35 cnf('0.6.0.0',axiom,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.6.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.94/1.35 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.94/1.35 cnf('0.6.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_5]).
% 0.94/1.35 cnf('0.7.0.0',axiom,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.7.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.94/1.35 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.94/1.35 cnf('0.7.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_6]).
% 0.94/1.35 cnf('0.8.0.0',axiom,
% 0.94/1.35 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028')).
% 0.94/1.35 cnf('0.8.1.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.94/1.35 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.94/1.35 cnf('0.8.2.0',plain,
% 0.94/1.35 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_7]).
% 0.94/1.35 cnf('0.9.0.0',plain,
% 0.94/1.35 ( add(additive_identity,X1) = X1 ),
% 0.94/1.35 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.9.1.0',plain,
% 0.94/1.35 ( add(additive_identity,X1) = X1 ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.94/1.35 [weight('<19,3,1,[1,0,0,0]>')]).
% 0.94/1.35 cnf('0.9.2.0',plain,
% 0.94/1.35 ( add(additive_identity,X1) = X1 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_8]).
% 0.94/1.35 cnf('0.10.0.0',plain,
% 0.94/1.35 ( additive_inverse(additive_identity) = additive_identity ),
% 0.94/1.35 inference(cp,[status(thm)],['0.9.2.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.10.1.0',plain,
% 0.94/1.35 ( additive_inverse(additive_identity) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.94/1.35 [weight('<11,9,5,[1,0,0,0]>')]).
% 0.94/1.35 cnf('0.10.2.0',plain,
% 0.94/1.35 ( additive_inverse(additive_identity) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_9]).
% 0.94/1.35 cnf('0.11.0.0',plain,
% 0.94/1.35 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.11.1.0',plain,
% 0.94/1.35 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.94/1.35 [weight('<69,5,4,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.11.1.1',plain,
% 0.94/1.35 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.11.1.0','0.9.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.11.2.0',plain,
% 0.94/1.35 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.94/1.35 [u,rule_10]).
% 0.94/1.35 cnf('0.12.0.0',plain,
% 0.94/1.35 ( additive_inverse(additive_inverse(X1)) = add(X1,additive_identity) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.12.0.1',plain,
% 0.94/1.35 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.12.1.0',plain,
% 0.94/1.35 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.94/1.35 [weight('<19,11,5,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.12.2.0',plain,
% 0.94/1.35 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_11]).
% 0.94/1.35 cnf('0.13.0.0',plain,
% 0.94/1.35 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.13.1.0',plain,
% 0.94/1.35 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.94/1.35 [weight('<55,11,3,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.13.2.0',plain,
% 0.94/1.35 ( add(X1,add(X2,additive_inverse(X1))) = X2 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_12]).
% 0.94/1.35 cnf('0.14.0.0',plain,
% 0.94/1.35 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.11.2.0','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.1','L')]).
% 0.94/1.35 cnf('0.14.1.0',plain,
% 0.94/1.35 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.94/1.35 [weight('<55,12,11,[0,0,0,3]>')]).
% 0.94/1.35 cnf('0.14.2.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),add(X1,X2)) = X2 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_13]).
% 0.94/1.35 cnf('0.15.0.0',plain,
% 0.94/1.35 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.13.2.0','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.15.1.0',plain,
% 0.94/1.35 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.94/1.35 [weight('<55,13,12,[1,0,0,4]>')]).
% 0.94/1.35 cnf('0.15.2.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),add(X2,X1)) = X2 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_14]).
% 0.94/1.35 cnf('0.16.0.0',plain,
% 0.94/1.35 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.16.1.0',plain,
% 0.94/1.35 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.94/1.35 [weight('<62,15,14,[1,0,0,3]>')]).
% 0.94/1.35 cnf('0.16.1.1',plain,
% 0.94/1.35 ( additive_inverse(X1) = add(X2,additive_inverse(add(X1,X2))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.16.1.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.16.2.0',plain,
% 0.94/1.35 ( add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
% 0.94/1.35 [x,rule_15]).
% 0.94/1.35 cnf('0.17.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,additive_inverse(X2))) = add(X2,additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.11.2.0','0.16.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.17.1.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,additive_inverse(X2))) = add(X2,additive_inverse(X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.94/1.35 [weight('<59,16,11,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.17.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,additive_inverse(X2))) = add(X2,additive_inverse(X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_16]).
% 0.94/1.35 cnf('0.18.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.14.2.0','0.16.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.18.1.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.94/1.35 [weight('<59,16,14,[0,0,0,3]>')]).
% 0.94/1.35 cnf('0.18.2.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),additive_inverse(X2)) = additive_inverse(add(X2,X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_17]).
% 0.94/1.35 cnf('0.19.0.0',plain,
% 0.94/1.35 ( add(X1,additive_inverse(X2)) = additive_inverse(add(additive_inverse(X1),X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.17.2.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.19.1.0',plain,
% 0.94/1.35 ( add(X1,additive_inverse(X2)) = additive_inverse(add(additive_inverse(X1),X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.94/1.35 [weight('<59,17,3,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.19.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(additive_inverse(X1),X2)) = add(X1,additive_inverse(X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_18]).
% 0.94/1.35 cnf('0.21.0.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(multiply(X1,X1),X2)) = multiply(X1,X2) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.21.0.1',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,multiply(X1,X2))) = multiply(X1,X2) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.21.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.21.1.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,multiply(X1,X2))) = multiply(X1,X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.94/1.35 [weight('<87,8,2,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.21.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,multiply(X1,X2))) = multiply(X1,X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_20]).
% 0.94/1.35 cnf('0.22.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(multiply(X1,X1),X2)) = add(X1,multiply(X1,X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.22.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(multiply(X1,X1),X2)) = add(X1,multiply(X1,X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.94/1.35 [weight('<103,7,2,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.22.2.0',plain,
% 0.94/1.35 ( multiply(X1,add(multiply(X1,X1),X2)) = add(X1,multiply(X1,X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_21]).
% 0.94/1.35 cnf('0.23.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_identity)) = multiply(X1,multiply(X1,X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.22.2.0','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.23.0.1',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_identity)) = X1 ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.23.0.0','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.23.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_identity)) = X1 ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.94/1.35 [weight('<41,22,1,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.23.2.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_identity)) = X1 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_22]).
% 0.94/1.35 cnf('0.25.0.0',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),additive_identity) = add(X1,additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.11.2.0','0.23.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.25.0.1',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),additive_identity) = additive_identity ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.25.0.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.25.1.0',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),additive_identity) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.94/1.35 [weight('<29,23,11,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.25.2.0',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),additive_identity) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_24]).
% 0.94/1.35 cnf('0.26.0.0',plain,
% 0.94/1.35 ( additive_identity = multiply(X1,additive_identity) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.25.2.0','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.26.1.0',plain,
% 0.94/1.35 ( additive_identity = multiply(X1,additive_identity) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.94/1.35 [weight('<19,25,12,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.26.2.0',plain,
% 0.94/1.35 ( multiply(X1,additive_identity) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_25]).
% 0.94/1.35 cnf('0.27.0.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.8.2.0','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.27.1.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.94/1.35 [weight('<53,26,8,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.27.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_26]).
% 0.94/1.35 cnf('0.28.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,X1))) = add(multiply(X1,X2),X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.28.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,X1))) = add(multiply(X1,X2),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.94/1.35 [weight('<103,7,2,[1,0,0,4]>')]).
% 0.94/1.35 cnf('0.28.1.1',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,X1))) = add(X1,multiply(X1,X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.28.1.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.28.2.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,X1))) = add(X1,multiply(X1,X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.28.1.1',theory(equality)]),
% 0.94/1.35 [u,rule_27]).
% 0.94/1.35 cnf('0.30.0.0',plain,
% 0.94/1.35 ( add(X1,X2) = add(X3,add(X1,add(X2,additive_inverse(X3)))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.30.1.0',plain,
% 0.94/1.35 ( add(X1,X2) = add(X3,add(X1,add(X2,additive_inverse(X3)))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.94/1.35 [weight('<107,13,4,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.30.2.0',plain,
% 0.94/1.35 ( add(X1,add(X2,add(X3,additive_inverse(X1)))) = add(X2,X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_29]).
% 0.94/1.35 cnf('0.33.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_inverse(multiply(X1,X1)))) = multiply(X1,additive_identity) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.22.2.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.33.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_inverse(multiply(X1,X1)))) = multiply(X1,additive_identity) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.94/1.35 [weight('<107,22,5,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.33.1.1',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_inverse(multiply(X1,X1)))) = additive_identity ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.33.1.0','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.33.2.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,additive_inverse(multiply(X1,X1)))) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.33.1.1',theory(equality)]),
% 0.94/1.35 [u,rule_32]).
% 0.94/1.35 cnf('0.34.0.0',plain,
% 0.94/1.35 ( multiply(X1,additive_inverse(multiply(X1,X1))) = add(additive_inverse(X1),additive_identity) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.14.2.0','0.33.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.34.0.1',plain,
% 0.94/1.35 ( multiply(X1,additive_inverse(multiply(X1,X1))) = additive_inverse(X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.34.0.0','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.34.1.0',plain,
% 0.94/1.35 ( multiply(X1,additive_inverse(multiply(X1,X1))) = additive_inverse(X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.94/1.35 [weight('<62,33,14,[0,0,0,3]>')]).
% 0.94/1.35 cnf('0.34.2.0',plain,
% 0.94/1.35 ( multiply(X1,additive_inverse(multiply(X1,X1))) = additive_inverse(X1) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_33]).
% 0.94/1.35 cnf('0.35.0.0',plain,
% 0.94/1.35 ( multiply(X1,additive_inverse(multiply(X1,X1))) = multiply(X1,multiply(X1,additive_inverse(X1))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.21.2.0','0.34.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.35.0.1',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(X1,multiply(X1,additive_inverse(X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.35.1.0',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(X1,multiply(X1,additive_inverse(X1))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.94/1.35 [weight('<62,34,21,[0,0,0,4]>')]).
% 0.94/1.35 cnf('0.35.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,additive_inverse(X1))) = additive_inverse(X1) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_34]).
% 0.94/1.35 cnf('0.46.0.0',plain,
% 0.94/1.35 ( add(X1,additive_inverse(X2)) = add(X3,add(X1,additive_inverse(add(X3,X2)))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.30.2.0','0.18.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.46.1.0',plain,
% 0.94/1.35 ( add(X1,additive_inverse(X2)) = add(X3,add(X1,additive_inverse(add(X3,X2)))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.94/1.35 [weight('<116,30,18,[1,0,0,4]>')]).
% 0.94/1.35 cnf('0.46.2.0',plain,
% 0.94/1.35 ( add(X1,add(X2,additive_inverse(add(X1,X3)))) = add(X2,additive_inverse(X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_45]).
% 0.94/1.35 cnf('0.58.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,multiply(X2,X1))) = multiply(X1,multiply(add(X1,X2),X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.22.2.0','0.6.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.58.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,multiply(X2,X1))) = multiply(X1,multiply(add(X1,X2),X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.94/1.35 [weight('<119,22,6,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.58.2.0',plain,
% 0.94/1.35 ( add(X1,multiply(X1,multiply(X2,X1))) = multiply(X1,multiply(add(X1,X2),X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_57]).
% 0.94/1.35 cnf('0.59.0.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(X1,additive_identity),X1)) = add(X1,multiply(additive_identity,X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.58.2.0','0.27.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.59.0.1',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,X1)) = add(X1,multiply(additive_identity,X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.59.0.0','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.1','L')]).
% 0.94/1.35 cnf('0.59.0.2',plain,
% 0.94/1.35 ( X1 = add(X1,multiply(additive_identity,X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.59.0.1','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.59.1.0',plain,
% 0.94/1.35 ( X1 = add(X1,multiply(additive_identity,X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.59.0.2']),
% 0.94/1.35 [weight('<41,58,27,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.59.2.0',plain,
% 0.94/1.35 ( add(X1,multiply(additive_identity,X1)) = X1 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_58]).
% 0.94/1.35 cnf('0.60.0.0',plain,
% 0.94/1.35 ( multiply(additive_identity,additive_inverse(X1)) = add(X1,additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.11.2.0','0.59.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.60.0.1',plain,
% 0.94/1.35 ( multiply(additive_identity,additive_inverse(X1)) = additive_identity ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.60.0.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.60.1.0',plain,
% 0.94/1.35 ( multiply(additive_identity,additive_inverse(X1)) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.94/1.35 [weight('<29,59,11,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.60.2.0',plain,
% 0.94/1.35 ( multiply(additive_identity,additive_inverse(X1)) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_59]).
% 0.94/1.35 cnf('0.61.0.0',plain,
% 0.94/1.35 ( additive_identity = multiply(additive_identity,X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.60.2.0','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.61.1.0',plain,
% 0.94/1.35 ( additive_identity = multiply(additive_identity,X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.94/1.35 [weight('<19,60,12,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.61.2.0',plain,
% 0.94/1.35 ( multiply(additive_identity,X1) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_60]).
% 0.94/1.35 cnf('0.66.0.0',plain,
% 0.94/1.35 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.66.1.0',plain,
% 0.94/1.35 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.66.0.0']),
% 0.94/1.35 [weight('<120,4,3,[1,0,0,0]>')]).
% 0.94/1.35 cnf('0.66.2.0',plain,
% 0.94/1.35 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 0.94/1.35 inference(activate,[status(thm)],['0.66.1.0']),
% 0.94/1.35 [equation_2]).
% 0.94/1.35 cnf('0.75.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(multiply(X1,additive_inverse(X1)),X2)) = add(additive_inverse(X1),multiply(X1,X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.7.2.0','0.35.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.75.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(multiply(X1,additive_inverse(X1)),X2)) = add(additive_inverse(X1),multiply(X1,X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.75.0.0']),
% 0.94/1.35 [weight('<134,35,7,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.75.2.0',plain,
% 0.94/1.35 ( multiply(X1,add(multiply(X1,additive_inverse(X1)),X2)) = add(additive_inverse(X1),multiply(X1,X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_70]).
% 0.94/1.35 cnf('0.87.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,multiply(X1,X3)))) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.7.2.0','0.21.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.87.0.1',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,multiply(X1,X3)))) = multiply(X1,add(X2,X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.87.0.0','0.7.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.87.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,multiply(X1,X3)))) = multiply(X1,add(X2,X3)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.87.0.1']),
% 0.94/1.35 [weight('<149,21,7,[0,0,0,4]>')]).
% 0.94/1.35 cnf('0.87.2.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X1,multiply(X1,X3)))) = multiply(X1,add(X2,X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_82]).
% 0.94/1.35 cnf('0.103.0.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = add(multiply(X3,X2),additive_inverse(multiply(add(X1,X3),X2))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.16.2.0','0.6.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.1','L')]).
% 0.94/1.35 cnf('0.103.1.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = add(multiply(X3,X2),additive_inverse(multiply(add(X1,X3),X2))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.103.0.0']),
% 0.94/1.35 [weight('<164,16,6,[1,0,0,3]>')]).
% 0.94/1.35 cnf('0.103.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),additive_inverse(multiply(add(X3,X1),X2))) = additive_inverse(multiply(X3,X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_98]).
% 0.94/1.35 cnf('0.104.0.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = add(multiply(additive_inverse(X1),X2),additive_inverse(multiply(additive_identity,X2))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.103.2.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.1.1','L')]).
% 0.94/1.35 cnf('0.104.0.1',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = add(multiply(additive_inverse(X1),X2),additive_inverse(additive_identity)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.104.0.0','0.61.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.1','L')]).
% 0.94/1.35 cnf('0.104.0.2',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = add(multiply(additive_inverse(X1),X2),additive_identity) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.104.0.1','0.10.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.104.0.3',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = multiply(additive_inverse(X1),X2) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.104.0.2','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.104.1.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = multiply(additive_inverse(X1),X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.104.0.3']),
% 0.94/1.35 [weight('<44,103,5,[1,0,0,6]>')]).
% 0.94/1.35 cnf('0.104.2.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = multiply(additive_inverse(X1),X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_99]).
% 0.94/1.35 cnf('0.112.0.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),additive_inverse(X3)) = additive_inverse(add(X3,multiply(additive_inverse(X1),X2))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.17.2.0','0.104.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2','L')]).
% 0.94/1.35 cnf('0.112.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),additive_inverse(X3)) = additive_inverse(add(X3,multiply(additive_inverse(X1),X2))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.112.0.0']),
% 0.94/1.35 [weight('<111,104,17,[0,0,0,3]>')]).
% 0.94/1.35 cnf('0.112.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(additive_inverse(X2),X3))) = add(multiply(X2,X3),additive_inverse(X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_107]).
% 0.94/1.35 cnf('0.113.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,X3))) = add(multiply(additive_inverse(X2),X3),additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.18.2.0','0.104.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.113.1.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,X3))) = add(multiply(additive_inverse(X2),X3),additive_inverse(X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.113.0.0']),
% 0.94/1.35 [weight('<111,104,18,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.113.2.0',plain,
% 0.94/1.35 ( add(multiply(additive_inverse(X1),X2),additive_inverse(X3)) = additive_inverse(add(X3,multiply(X1,X2))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_108]).
% 0.94/1.35 cnf('0.114.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(X1,X2),X3)) = add(additive_inverse(X3),multiply(additive_inverse(X1),X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.18.2.0','0.104.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.114.1.0',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(X1,X2),X3)) = add(additive_inverse(X3),multiply(additive_inverse(X1),X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.114.0.0']),
% 0.94/1.35 [weight('<111,104,18,[0,0,0,3]>')]).
% 0.94/1.35 cnf('0.114.2.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),multiply(additive_inverse(X2),X3)) = additive_inverse(add(multiply(X2,X3),X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_109]).
% 0.94/1.35 cnf('0.115.0.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),additive_inverse(X3)) = additive_inverse(add(multiply(additive_inverse(X1),X2),X3)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.19.2.0','0.104.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.1','L')]).
% 0.94/1.35 cnf('0.115.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),additive_inverse(X3)) = additive_inverse(add(multiply(additive_inverse(X1),X2),X3)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.115.0.0']),
% 0.94/1.35 [weight('<111,104,19,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.115.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(additive_inverse(X1),X2),X3)) = add(multiply(X1,X2),additive_inverse(X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_110]).
% 0.94/1.35 cnf('0.159.0.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = add(multiply(X1,X3),additive_inverse(multiply(X1,add(X2,X3)))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.16.2.0','0.7.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.1','L')]).
% 0.94/1.35 cnf('0.159.1.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = add(multiply(X1,X3),additive_inverse(multiply(X1,add(X2,X3)))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.159.0.0']),
% 0.94/1.35 [weight('<164,16,7,[1,0,0,3]>')]).
% 0.94/1.35 cnf('0.159.1.1',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),X2) = add(multiply(X1,X3),additive_inverse(multiply(X1,add(X2,X3)))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.159.1.0','0.104.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.159.1.2',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),X2) = add(multiply(X1,X3),multiply(additive_inverse(X1),add(X2,X3))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.159.1.1','0.104.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.159.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(additive_inverse(X1),add(X3,X2))) = multiply(additive_inverse(X1),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.159.1.2',theory(equality)]),
% 0.94/1.35 [x,rule_154]).
% 0.94/1.35 cnf('0.160.0.0',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),X2) = add(multiply(X1,additive_inverse(X2)),multiply(additive_inverse(X1),additive_identity)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.159.2.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.160.0.1',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),X2) = add(multiply(X1,additive_inverse(X2)),additive_identity) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.160.0.0','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.160.0.2',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.160.0.1','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.160.1.0',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.160.0.2']),
% 0.94/1.35 [weight('<44,159,5,[1,0,0,7]>')]).
% 0.94/1.35 cnf('0.160.2.0',plain,
% 0.94/1.35 ( multiply(additive_inverse(X1),X2) = multiply(X1,additive_inverse(X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_155]).
% 0.94/1.35 cnf('0.161.0.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = multiply(additive_inverse(X1),X2) ),
% 0.94/1.35 inference(interreduction_right,[status(thm)],['0.104.2.0'])).
% 0.94/1.35 cnf('0.161.0.1',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.161.0.0','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.161.1.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.161.0.1']),
% 0.94/1.35 [weight('<44,104,160,[0,0,0,0]>')]).
% 0.94/1.35 cnf('0.161.2.0',plain,
% 0.94/1.35 ( additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_156]).
% 0.94/1.35 cnf('0.162.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(additive_inverse(X2),X3))) = add(multiply(X2,X3),additive_inverse(X1)) ),
% 0.94/1.35 inference(interreduction_right,[status(thm)],['0.112.2.0'])).
% 0.94/1.35 cnf('0.162.0.1',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,additive_inverse(X3)))) = add(multiply(X2,X3),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.162.0.0','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2','L')]).
% 0.94/1.35 cnf('0.162.1.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,additive_inverse(X3)))) = add(multiply(X2,X3),additive_inverse(X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.162.0.1']),
% 0.94/1.35 [weight('<111,112,160,[0,0,0,0]>')]).
% 0.94/1.35 cnf('0.162.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,additive_inverse(X3)))) = add(multiply(X2,X3),additive_inverse(X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_157]).
% 0.94/1.35 cnf('0.163.0.0',plain,
% 0.94/1.35 ( add(multiply(additive_inverse(X1),X2),additive_inverse(X3)) = additive_inverse(add(X3,multiply(X1,X2))) ),
% 0.94/1.35 inference(interreduction_right,[status(thm)],['0.113.2.0'])).
% 0.94/1.35 cnf('0.163.0.1',plain,
% 0.94/1.35 ( add(multiply(X1,additive_inverse(X2)),additive_inverse(X3)) = additive_inverse(add(X3,multiply(X1,X2))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.163.0.0','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.163.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,additive_inverse(X2)),additive_inverse(X3)) = additive_inverse(add(X3,multiply(X1,X2))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.163.0.1']),
% 0.94/1.35 [weight('<111,113,160,[0,0,0,0]>')]).
% 0.94/1.35 cnf('0.163.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,additive_inverse(X2)),additive_inverse(X3)) = additive_inverse(add(X3,multiply(X1,X2))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.163.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_158]).
% 0.94/1.35 cnf('0.164.0.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),multiply(additive_inverse(X2),X3)) = additive_inverse(add(multiply(X2,X3),X1)) ),
% 0.94/1.35 inference(interreduction_right,[status(thm)],['0.114.2.0'])).
% 0.94/1.35 cnf('0.164.0.1',plain,
% 0.94/1.35 ( add(additive_inverse(X1),multiply(X2,additive_inverse(X3))) = additive_inverse(add(multiply(X2,X3),X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.164.0.0','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.164.1.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),multiply(X2,additive_inverse(X3))) = additive_inverse(add(multiply(X2,X3),X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.164.0.1']),
% 0.94/1.35 [weight('<111,114,160,[0,0,0,0]>')]).
% 0.94/1.35 cnf('0.164.2.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),multiply(X2,additive_inverse(X3))) = additive_inverse(add(multiply(X2,X3),X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_159]).
% 0.94/1.35 cnf('0.165.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(additive_inverse(X1),X2),X3)) = add(multiply(X1,X2),additive_inverse(X3)) ),
% 0.94/1.35 inference(interreduction_right,[status(thm)],['0.115.2.0'])).
% 0.94/1.35 cnf('0.165.0.1',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(X1,additive_inverse(X2)),X3)) = add(multiply(X1,X2),additive_inverse(X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.165.0.0','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.1','L')]).
% 0.94/1.35 cnf('0.165.1.0',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(X1,additive_inverse(X2)),X3)) = add(multiply(X1,X2),additive_inverse(X3)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.165.0.1']),
% 0.94/1.35 [weight('<111,115,160,[0,0,0,0]>')]).
% 0.94/1.35 cnf('0.165.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(X1,additive_inverse(X2)),X3)) = add(multiply(X1,X2),additive_inverse(X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_160]).
% 0.94/1.35 cnf('0.166.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,additive_inverse(X2)),additive_inverse(X3)) = multiply(add(X2,additive_inverse(X1)),X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.160.2.0','0.17.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.166.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,additive_inverse(X2)),additive_inverse(X3)) = multiply(add(X2,additive_inverse(X1)),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.166.0.0']),
% 0.94/1.35 [weight('<111,160,17,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.166.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,additive_inverse(X2)),additive_inverse(X3)) = multiply(add(X2,additive_inverse(X1)),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_161]).
% 0.94/1.35 cnf('0.183.0.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),add(multiply(X1,X3),X4)) = add(multiply(X1,add(X2,X3)),X4) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.183.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),add(multiply(X1,X3),X4)) = add(multiply(X1,add(X2,X3)),X4) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.183.0.0']),
% 0.94/1.35 [weight('<169,7,4,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.183.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),add(multiply(X1,X3),X4)) = add(multiply(X1,add(X2,X3)),X4) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_177]).
% 0.94/1.35 cnf('0.184.0.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X2),X3),X4) = add(multiply(X1,multiply(X2,X4)),multiply(X3,X4)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.184.1.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X2),X3),X4) = add(multiply(X1,multiply(X2,X4)),multiply(X3,X4)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.184.0.0']),
% 0.94/1.35 [weight('<169,8,6,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.184.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,multiply(X2,X3)),multiply(X4,X3)) = multiply(add(multiply(X1,X2),X4),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_178]).
% 0.94/1.35 cnf('0.185.0.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),X1) = add(X1,multiply(X2,X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.184.2.0','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.185.1.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),X1) = add(X1,multiply(X2,X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.185.0.0']),
% 0.94/1.35 [weight('<103,184,2,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.185.2.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),X1) = add(X1,multiply(X2,X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_179]).
% 0.94/1.35 cnf('0.186.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(X2,multiply(X1,X1)),X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.185.2.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.186.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(X2,multiply(X1,X1)),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.186.0.0']),
% 0.94/1.35 [weight('<103,185,3,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.186.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X2)),X2) = add(X2,multiply(X1,X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_180]).
% 0.94/1.35 cnf('0.187.0.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),additive_inverse(X1)) = add(additive_inverse(X1),multiply(X2,additive_inverse(X1))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.184.2.0','0.35.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.187.0.1',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),additive_inverse(X1)) = additive_inverse(add(multiply(X2,X1),X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.187.0.0','0.164.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.187.1.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),additive_inverse(X1)) = additive_inverse(add(multiply(X2,X1),X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.187.0.1']),
% 0.94/1.35 [weight('<134,184,35,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.187.1.1',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),additive_inverse(X1)) = additive_inverse(add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.187.1.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.187.2.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),additive_inverse(X1)) = additive_inverse(add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.187.1.1',theory(equality)]),
% 0.94/1.35 [u,rule_181]).
% 0.94/1.35 cnf('0.190.0.0',plain,
% 0.94/1.35 ( add(additive_inverse(X1),multiply(additive_inverse(X2),additive_inverse(X1))) = multiply(additive_inverse(add(multiply(additive_inverse(X1),X1),X2)),additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.186.2.0','0.164.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.190.0.1',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(additive_inverse(X2),X1),X1)) = multiply(additive_inverse(add(multiply(additive_inverse(X1),X1),X2)),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.190.0.0','0.164.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.190.0.2',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(X2,additive_inverse(X1)),X1)) = multiply(additive_inverse(add(multiply(additive_inverse(X1),X1),X2)),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.190.0.1','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.1','L')]).
% 0.94/1.35 cnf('0.190.0.3',plain,
% 0.94/1.35 ( add(multiply(X2,X1),additive_inverse(X1)) = multiply(additive_inverse(add(multiply(additive_inverse(X1),X1),X2)),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.190.0.2','0.165.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.190.0.4',plain,
% 0.94/1.35 ( add(multiply(X2,X1),additive_inverse(X1)) = multiply(add(multiply(additive_inverse(X1),X1),X2),additive_inverse(additive_inverse(X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.190.0.3','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.190.0.5',plain,
% 0.94/1.35 ( add(multiply(X2,X1),additive_inverse(X1)) = multiply(add(multiply(X1,additive_inverse(X1)),X2),additive_inverse(additive_inverse(X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.190.0.4','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.1','L')]).
% 0.94/1.35 cnf('0.190.0.6',plain,
% 0.94/1.35 ( add(multiply(X2,X1),additive_inverse(X1)) = multiply(add(multiply(X1,additive_inverse(X1)),X2),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.190.0.5','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.190.1.0',plain,
% 0.94/1.35 ( add(multiply(X2,X1),additive_inverse(X1)) = multiply(add(multiply(X1,additive_inverse(X1)),X2),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.190.0.6']),
% 0.94/1.35 [weight('<134,186,164,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.190.1.1',plain,
% 0.94/1.35 ( add(additive_inverse(X1),multiply(X2,X1)) = multiply(add(multiply(X1,additive_inverse(X1)),X2),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.190.1.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.190.2.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,additive_inverse(X1)),X2),X1) = add(additive_inverse(X1),multiply(X2,X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.190.1.1',theory(equality)]),
% 0.94/1.35 [x,rule_184]).
% 0.94/1.35 cnf('0.192.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(additive_inverse(X1),multiply(additive_inverse(X2),additive_inverse(X1)))) = multiply(additive_inverse(add(X2,multiply(additive_inverse(X1),X1))),additive_inverse(additive_inverse(X1))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.187.2.0','0.163.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.192.0.1',plain,
% 0.94/1.35 ( add(X1,additive_inverse(multiply(additive_inverse(X2),additive_inverse(X1)))) = multiply(additive_inverse(add(X2,multiply(additive_inverse(X1),X1))),additive_inverse(additive_inverse(X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.192.0.0','0.19.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.192.0.2',plain,
% 0.94/1.35 ( add(X1,multiply(additive_inverse(X2),additive_inverse(additive_inverse(X1)))) = multiply(additive_inverse(add(X2,multiply(additive_inverse(X1),X1))),additive_inverse(additive_inverse(X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.192.0.1','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.192.0.3',plain,
% 0.94/1.35 ( add(X1,multiply(X2,additive_inverse(additive_inverse(additive_inverse(X1))))) = multiply(additive_inverse(add(X2,multiply(additive_inverse(X1),X1))),additive_inverse(additive_inverse(X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.192.0.2','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.192.0.4',plain,
% 0.94/1.35 ( add(X1,multiply(X2,additive_inverse(X1))) = multiply(additive_inverse(add(X2,multiply(additive_inverse(X1),X1))),additive_inverse(additive_inverse(X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.192.0.3','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.192.0.5',plain,
% 0.94/1.35 ( add(X1,multiply(X2,additive_inverse(X1))) = multiply(add(X2,multiply(additive_inverse(X1),X1)),additive_inverse(additive_inverse(additive_inverse(X1)))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.192.0.4','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.192.0.6',plain,
% 0.94/1.35 ( add(X1,multiply(X2,additive_inverse(X1))) = multiply(add(X2,multiply(X1,additive_inverse(X1))),additive_inverse(additive_inverse(additive_inverse(X1)))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.192.0.5','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2','L')]).
% 0.94/1.35 cnf('0.192.0.7',plain,
% 0.94/1.35 ( add(X1,multiply(X2,additive_inverse(X1))) = multiply(add(X2,multiply(X1,additive_inverse(X1))),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.192.0.6','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.192.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(X2,additive_inverse(X1))) = multiply(add(X2,multiply(X1,additive_inverse(X1))),additive_inverse(X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.192.0.7']),
% 0.94/1.35 [weight('<159,187,163,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.192.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,additive_inverse(X2))),additive_inverse(X2)) = add(X2,multiply(X1,additive_inverse(X2))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_186]).
% 0.94/1.35 cnf('0.194.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X3)),X4) = add(multiply(X1,X4),multiply(X2,multiply(X3,X4))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.194.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X3)),X4) = add(multiply(X1,X4),multiply(X2,multiply(X3,X4))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.194.0.0']),
% 0.94/1.35 [weight('<169,8,6,[0,0,0,4]>')]).
% 0.94/1.35 cnf('0.194.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),multiply(X3,multiply(X4,X2))) = multiply(add(X1,multiply(X3,X4)),X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_188]).
% 0.94/1.35 cnf('0.195.0.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(multiply(X1,X1),X2),X3)) = multiply(add(X1,multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.8.2.0','0.22.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.195.1.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(multiply(X1,X1),X2),X3)) = multiply(add(X1,multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.195.0.0']),
% 0.94/1.35 [weight('<169,22,8,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.195.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(multiply(X1,X1),X2),X3)) = multiply(add(X1,multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_189]).
% 0.94/1.35 cnf('0.199.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),additive_inverse(X2)) = multiply(X1,add(X2,multiply(multiply(X1,X1),additive_inverse(X2)))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.195.2.0','0.192.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.199.0.1',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),additive_inverse(X2)) = multiply(X1,add(X2,multiply(X1,multiply(X1,additive_inverse(X2))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.199.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.2','L')]).
% 0.94/1.35 cnf('0.199.0.2',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),additive_inverse(X2)) = multiply(X1,add(X2,additive_inverse(X2))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.199.0.1','0.87.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.199.0.3',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),additive_inverse(X2)) = multiply(X1,additive_identity) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.199.0.2','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.199.0.4',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),additive_inverse(X2)) = additive_identity ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.199.0.3','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.199.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),additive_inverse(X2)) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.199.0.4']),
% 0.94/1.35 [weight('<155,195,192,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.199.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),additive_inverse(X2)) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_193]).
% 0.94/1.35 cnf('0.200.0.0',plain,
% 0.94/1.35 ( additive_identity = multiply(multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,additive_inverse(X2))),additive_inverse(X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.199.2.0','0.6.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.200.0.1',plain,
% 0.94/1.35 ( additive_identity = multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(multiply(X2,additive_inverse(X2)),additive_inverse(X2))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.200.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.200.0.2',plain,
% 0.94/1.35 ( additive_identity = multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2)))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.200.0.1','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.200.0.3',plain,
% 0.94/1.35 ( additive_identity = multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,multiply(X2,additive_inverse(additive_inverse(X2))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.200.0.2','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.2','L')]).
% 0.94/1.35 cnf('0.200.0.4',plain,
% 0.94/1.35 ( additive_identity = multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,multiply(X2,X2))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.200.0.3','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.2.2','L')]).
% 0.94/1.35 cnf('0.200.0.5',plain,
% 0.94/1.35 ( additive_identity = multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),X2) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.200.0.4','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.200.1.0',plain,
% 0.94/1.35 ( additive_identity = multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.200.0.5']),
% 0.94/1.35 [weight('<131,199,6,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.200.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),X2) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_194]).
% 0.94/1.35 cnf('0.207.0.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),add(X3,multiply(X1,X4))) = add(X3,multiply(X1,add(X4,X2))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.66.2.0','0.7.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.207.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),add(X3,multiply(X1,X4))) = add(X3,multiply(X1,add(X4,X2))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.207.0.0']),
% 0.94/1.35 [weight('<169,66,7,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.207.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,X2),add(X3,multiply(X1,X4))) = add(X3,multiply(X1,add(X4,X2))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_201]).
% 0.94/1.35 cnf('0.210.0.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),multiply(X1,X3)) = multiply(add(X1,multiply(X2,X1)),X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.8.2.0','0.185.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.210.1.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),multiply(X1,X3)) = multiply(add(X1,multiply(X2,X1)),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.210.0.0']),
% 0.94/1.35 [weight('<169,185,8,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.210.2.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,X1),X2),multiply(X1,X3)) = multiply(add(X1,multiply(X2,X1)),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_204]).
% 0.94/1.35 cnf('0.213.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(X2,X3),X1)) = multiply(add(X2,add(X3,multiply(X1,X1))),X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.185.2.0','0.66.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','R')]).
% 0.94/1.35 cnf('0.213.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(X2,X3),X1)) = multiply(add(X2,add(X3,multiply(X1,X1))),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.213.0.0']),
% 0.94/1.35 [weight('<169,185,66,[1,0,1,1]>')]).
% 0.94/1.35 cnf('0.213.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,add(X2,multiply(X3,X3))),X3) = add(X3,multiply(add(X1,X2),X3)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_207]).
% 0.94/1.35 cnf('0.214.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X2)),multiply(X2,X3)) = multiply(add(X2,multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.8.2.0','0.186.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.214.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X2)),multiply(X2,X3)) = multiply(add(X2,multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.214.0.0']),
% 0.94/1.35 [weight('<169,186,8,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.214.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X2)),multiply(X2,X3)) = multiply(add(X2,multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_208]).
% 0.94/1.35 cnf('0.215.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X3)),multiply(X3,X3)) = add(multiply(X1,multiply(X3,X3)),multiply(X2,X3)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.194.2.0','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.215.0.1',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X3)),multiply(X3,X3)) = multiply(add(multiply(X1,X3),X2),X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.215.0.0','0.184.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.215.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X3)),multiply(X3,X3)) = multiply(add(multiply(X1,X3),X2),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.215.0.1']),
% 0.94/1.35 [weight('<169,194,2,[1,0,0,6]>')]).
% 0.94/1.35 cnf('0.215.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X3)),multiply(X3,X3)) = multiply(add(multiply(X1,X3),X2),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.215.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_209]).
% 0.94/1.35 cnf('0.216.0.0',plain,
% 0.94/1.35 ( multiply(add(multiply(multiply(X1,X2),X2),X3),X2) = multiply(multiply(add(X1,X3),X2),multiply(X2,X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.215.2.0','0.6.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.216.0.1',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,multiply(X2,X2)),X3),X2) = multiply(multiply(add(X1,X3),X2),multiply(X2,X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.216.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.1','L')]).
% 0.94/1.35 cnf('0.216.0.2',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,multiply(X2,X2)),X3),X2) = multiply(add(X1,X3),multiply(X2,multiply(X2,X2))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.216.0.1','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.216.0.3',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,multiply(X2,X2)),X3),X2) = multiply(add(X1,X3),X2) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.216.0.2','0.2.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.216.1.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,multiply(X2,X2)),X3),X2) = multiply(add(X1,X3),X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.216.0.3']),
% 0.94/1.35 [weight('<149,215,6,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.216.2.0',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,multiply(X2,X2)),X3),X2) = multiply(add(X1,X3),X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_210]).
% 0.94/1.35 cnf('0.225.0.0',plain,
% 0.94/1.35 ( multiply(X1,X2) = multiply(multiply(X1,X2),multiply(X1,multiply(X2,multiply(X1,X2)))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.225.0.1',plain,
% 0.94/1.35 ( multiply(X1,X2) = multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.225.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.225.1.0',plain,
% 0.94/1.35 ( multiply(X1,X2) = multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2))))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.225.0.1']),
% 0.94/1.35 [weight('<179,8,2,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.225.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2))))) = multiply(X1,X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_219]).
% 0.94/1.35 cnf('0.240.0.0',plain,
% 0.94/1.35 ( add(multiply(multiply(X1,X2),X3),additive_inverse(X4)) = additive_inverse(add(X4,multiply(X1,multiply(X2,additive_inverse(X3))))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.162.2.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2','L')]).
% 0.94/1.35 cnf('0.240.0.1',plain,
% 0.94/1.35 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(X4)) = additive_inverse(add(X4,multiply(X1,multiply(X2,additive_inverse(X3))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.240.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.240.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(X4)) = additive_inverse(add(X4,multiply(X1,multiply(X2,additive_inverse(X3))))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.240.0.1']),
% 0.94/1.35 [weight('<179,162,8,[1,0,0,3]>')]).
% 0.94/1.35 cnf('0.240.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,multiply(X3,additive_inverse(X4))))) = add(multiply(X2,multiply(X3,X4)),additive_inverse(X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.240.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_234]).
% 0.94/1.35 cnf('0.241.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,additive_inverse(X3))),additive_inverse(X4)) = multiply(add(multiply(X2,X3),additive_inverse(X1)),X4) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.160.2.0','0.162.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.241.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,additive_inverse(X3))),additive_inverse(X4)) = multiply(add(multiply(X2,X3),additive_inverse(X1)),X4) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.241.0.0']),
% 0.94/1.35 [weight('<179,162,160,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.241.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,additive_inverse(X3))),additive_inverse(X4)) = multiply(add(multiply(X2,X3),additive_inverse(X1)),X4) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.241.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_235]).
% 0.94/1.35 cnf('0.243.0.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(multiply(X2,X3),X4))) = add(multiply(X2,multiply(X3,additive_inverse(X4))),additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.163.2.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.243.0.1',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,multiply(X3,X4)))) = add(multiply(X2,multiply(X3,additive_inverse(X4))),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.243.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2','L')]).
% 0.94/1.35 cnf('0.243.1.0',plain,
% 0.94/1.35 ( additive_inverse(add(X1,multiply(X2,multiply(X3,X4)))) = add(multiply(X2,multiply(X3,additive_inverse(X4))),additive_inverse(X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.243.0.1']),
% 0.94/1.35 [weight('<179,163,8,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.243.2.0',plain,
% 0.94/1.35 ( add(multiply(X1,multiply(X2,additive_inverse(X3))),additive_inverse(X4)) = additive_inverse(add(X4,multiply(X1,multiply(X2,X3)))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.243.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_237]).
% 0.94/1.35 cnf('0.246.0.0',plain,
% 0.94/1.35 ( add(multiply(multiply(X1,X2),X3),additive_inverse(X4)) = additive_inverse(add(multiply(X1,multiply(X2,additive_inverse(X3))),X4)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.165.2.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.1','L')]).
% 0.94/1.35 cnf('0.246.0.1',plain,
% 0.94/1.35 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(X4)) = additive_inverse(add(multiply(X1,multiply(X2,additive_inverse(X3))),X4)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.246.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.246.1.0',plain,
% 0.94/1.35 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(X4)) = additive_inverse(add(multiply(X1,multiply(X2,additive_inverse(X3))),X4)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.246.0.1']),
% 0.94/1.35 [weight('<179,165,8,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.246.2.0',plain,
% 0.94/1.35 ( additive_inverse(add(multiply(X1,multiply(X2,additive_inverse(X3))),X4)) = add(multiply(X1,multiply(X2,X3)),additive_inverse(X4)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.246.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_240]).
% 0.94/1.35 cnf('0.251.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,X3)) = multiply(additive_identity,X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.8.2.0','0.200.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.251.0.1',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,X3)) = additive_identity ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.251.0.0','0.61.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.251.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,X3)) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.251.0.1']),
% 0.94/1.35 [weight('<181,200,8,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.251.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X1,multiply(X2,additive_inverse(X2)))),multiply(X2,X3)) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.251.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_245]).
% 0.94/1.35 cnf('0.252.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X2,multiply(X1,additive_inverse(X1))))) = multiply(X1,additive_identity) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.225.2.0','0.251.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.252.0.1',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X2,multiply(X1,additive_inverse(X1))))) = additive_identity ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.252.0.0','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.252.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X2,multiply(X1,additive_inverse(X1))))) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.252.0.1']),
% 0.94/1.35 [weight('<131,251,225,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.252.2.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X2,multiply(X1,additive_inverse(X1))))) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.252.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_246]).
% 0.94/1.35 cnf('0.292.0.0',plain,
% 0.94/1.35 ( additive_identity = multiply(add(additive_inverse(X1),multiply(X1,additive_inverse(multiply(X2,additive_inverse(X2))))),multiply(X2,X3)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.251.2.0','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2','L')]).
% 0.94/1.35 cnf('0.292.0.1',plain,
% 0.94/1.35 ( additive_identity = multiply(additive_inverse(add(multiply(X1,multiply(X2,additive_inverse(X2))),X1)),multiply(X2,X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.292.0.0','0.164.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.292.0.2',plain,
% 0.94/1.35 ( additive_identity = multiply(add(multiply(X1,multiply(X2,X2)),additive_inverse(X1)),multiply(X2,X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.292.0.1','0.246.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.292.1.0',plain,
% 0.94/1.35 ( additive_identity = multiply(add(multiply(X1,multiply(X2,X2)),additive_inverse(X1)),multiply(X2,X3)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.292.0.2']),
% 0.94/1.35 [weight('<181,251,160,[1,0,0,3]>')]).
% 0.94/1.35 cnf('0.292.1.1',plain,
% 0.94/1.35 ( additive_identity = multiply(add(additive_inverse(X1),multiply(X1,multiply(X2,X2))),multiply(X2,X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.292.1.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.292.2.0',plain,
% 0.94/1.35 ( multiply(add(additive_inverse(X1),multiply(X1,multiply(X2,X2))),multiply(X2,X3)) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.292.1.1',theory(equality)]),
% 0.94/1.35 [x,rule_286]).
% 0.94/1.35 cnf('0.322.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X1)),multiply(X1,additive_inverse(X1))) = multiply(add(multiply(X1,X1),X2),additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.210.2.0','0.35.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.322.0.1',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X1)),multiply(X1,additive_inverse(X1))) = additive_inverse(add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.322.0.0','0.187.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.322.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X1)),multiply(X1,additive_inverse(X1))) = additive_inverse(add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.322.0.1']),
% 0.94/1.35 [weight('<186,210,35,[1,0,0,6]>')]).
% 0.94/1.35 cnf('0.322.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,X1)),multiply(X1,additive_inverse(X1))) = additive_inverse(add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.322.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_316]).
% 0.94/1.35 cnf('0.325.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,additive_inverse(X2)),additive_inverse(X3)) = multiply(add(X2,additive_inverse(multiply(X1,multiply(additive_inverse(X3),additive_inverse(X3))))),X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.216.2.0','0.166.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.325.0.1',plain,
% 0.94/1.35 ( multiply(add(X2,additive_inverse(X1)),X3) = multiply(add(X2,additive_inverse(multiply(X1,multiply(additive_inverse(X3),additive_inverse(X3))))),X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.325.0.0','0.166.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.325.0.2',plain,
% 0.94/1.35 ( multiply(add(X2,additive_inverse(X1)),X3) = multiply(add(X2,multiply(X1,additive_inverse(multiply(additive_inverse(X3),additive_inverse(X3))))),X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.325.0.1','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2','L')]).
% 0.94/1.35 cnf('0.325.0.3',plain,
% 0.94/1.35 ( multiply(add(X2,additive_inverse(X1)),X3) = multiply(add(X2,multiply(X1,multiply(additive_inverse(X3),additive_inverse(additive_inverse(X3))))),X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.325.0.2','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.2','L')]).
% 0.94/1.35 cnf('0.325.0.4',plain,
% 0.94/1.35 ( multiply(add(X2,additive_inverse(X1)),X3) = multiply(add(X2,multiply(X1,multiply(X3,additive_inverse(additive_inverse(additive_inverse(X3)))))),X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.325.0.3','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.2','L')]).
% 0.94/1.35 cnf('0.325.0.5',plain,
% 0.94/1.35 ( multiply(add(X2,additive_inverse(X1)),X3) = multiply(add(X2,multiply(X1,multiply(X3,additive_inverse(X3)))),X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.325.0.4','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.2.2','L')]).
% 0.94/1.35 cnf('0.325.1.0',plain,
% 0.94/1.35 ( multiply(add(X2,additive_inverse(X1)),X3) = multiply(add(X2,multiply(X1,multiply(X3,additive_inverse(X3)))),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.325.0.5']),
% 0.94/1.35 [weight('<186,216,166,[1,0,0,0]>')]).
% 0.94/1.35 cnf('0.325.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,multiply(X3,additive_inverse(X3)))),X3) = multiply(add(X1,additive_inverse(X2)),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.325.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_319]).
% 0.94/1.35 cnf('0.350.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(multiply(X1,X2),X3),X1)) = multiply(add(multiply(X1,add(X1,X2)),X3),X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.185.2.0','0.183.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.350.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(multiply(X1,X2),X3),X1)) = multiply(add(multiply(X1,add(X1,X2)),X3),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.350.0.0']),
% 0.94/1.35 [weight('<189,185,183,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.350.2.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(multiply(X1,X2),X3),X1)) = multiply(add(multiply(X1,add(X1,X2)),X3),X1) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.350.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_344]).
% 0.94/1.35 cnf('0.357.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(X2,multiply(X3,X1)),X1)) = multiply(add(X2,multiply(add(X3,X1),X1)),X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.213.2.0','0.6.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2','L')]).
% 0.94/1.35 cnf('0.357.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(X2,multiply(X3,X1)),X1)) = multiply(add(X2,multiply(add(X3,X1),X1)),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.357.0.0']),
% 0.94/1.35 [weight('<189,213,6,[1,0,0,3]>')]).
% 0.94/1.35 cnf('0.357.2.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(X2,multiply(X3,X1)),X1)) = multiply(add(X2,multiply(add(X3,X1),X1)),X1) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.357.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_351]).
% 0.94/1.35 cnf('0.390.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,add(X2,additive_inverse(multiply(X1,multiply(X3,X3))))),X3) = multiply(X2,X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.216.2.0','0.13.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.390.0.1',plain,
% 0.94/1.35 ( multiply(add(X1,add(X2,multiply(X1,additive_inverse(multiply(X3,X3))))),X3) = multiply(X2,X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.390.0.0','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2.2','L')]).
% 0.94/1.35 cnf('0.390.0.2',plain,
% 0.94/1.35 ( multiply(add(X1,add(X2,multiply(X1,multiply(X3,additive_inverse(X3))))),X3) = multiply(X2,X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.390.0.1','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2.2.2','L')]).
% 0.94/1.35 cnf('0.390.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,add(X2,multiply(X1,multiply(X3,additive_inverse(X3))))),X3) = multiply(X2,X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.390.0.2']),
% 0.94/1.35 [weight('<207,216,13,[1,0,0,1]>')]).
% 0.94/1.35 cnf('0.390.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,add(X2,multiply(X1,multiply(X3,additive_inverse(X3))))),X3) = multiply(X2,X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.390.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_384]).
% 0.94/1.35 cnf('0.391.0.0',plain,
% 0.94/1.35 ( multiply(multiply(X1,additive_inverse(X1)),X1) = multiply(add(add(X2,multiply(X3,multiply(X1,additive_inverse(X1)))),multiply(add(X2,multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1)))),multiply(X1,additive_inverse(X1)))),X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.390.2.0','0.357.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2','L')]).
% 0.94/1.35 cnf('0.391.0.1',plain,
% 0.94/1.35 ( multiply(X1,multiply(additive_inverse(X1),X1)) = multiply(add(add(X2,multiply(X3,multiply(X1,additive_inverse(X1)))),multiply(add(X2,multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1)))),multiply(X1,additive_inverse(X1)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.0','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.391.0.2',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,additive_inverse(X1))) = multiply(add(add(X2,multiply(X3,multiply(X1,additive_inverse(X1)))),multiply(add(X2,multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1)))),multiply(X1,additive_inverse(X1)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.1','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.391.0.3',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(add(X2,multiply(X3,multiply(X1,additive_inverse(X1)))),multiply(add(X2,multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1)))),multiply(X1,additive_inverse(X1)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.2','0.35.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.391.0.4',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(add(X2,multiply(X3,multiply(X1,additive_inverse(X1)))),additive_inverse(add(X2,multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1)))))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.3','0.325.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.391.0.5',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(X2,add(multiply(X3,multiply(X1,additive_inverse(X1))),additive_inverse(add(X2,multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1))))))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.4','0.4.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.391.0.6',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(multiply(X3,multiply(X1,additive_inverse(X1))),additive_inverse(multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1))))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.5','0.46.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.391.0.7',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(additive_inverse(add(multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,additive_inverse(X1))),multiply(X3,multiply(X1,X1)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.6','0.243.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.391.0.8',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(multiply(add(X3,multiply(X1,additive_inverse(X1))),multiply(X1,X1)),additive_inverse(multiply(X3,multiply(X1,X1)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.7','0.246.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.391.0.9',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(add(X3,multiply(X1,additive_inverse(X1))),additive_inverse(multiply(X3,multiply(X1,X1)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.8','0.216.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.391.0.10',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(X3,add(multiply(X1,additive_inverse(X1)),additive_inverse(multiply(X3,multiply(X1,X1))))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.9','0.4.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.391.0.11',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(X3,additive_inverse(add(multiply(X3,multiply(X1,X1)),multiply(X1,X1)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.10','0.163.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2','L')]).
% 0.94/1.35 cnf('0.391.0.12',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(X3,additive_inverse(multiply(add(multiply(X3,X1),X1),X1))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.11','0.184.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.1','L')]).
% 0.94/1.35 cnf('0.391.0.13',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(X3,multiply(add(multiply(X3,X1),X1),additive_inverse(X1))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.0.12','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2','L')]).
% 0.94/1.35 cnf('0.391.1.0',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(X3,multiply(add(multiply(X3,X1),X1),additive_inverse(X1))),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.391.0.13']),
% 0.94/1.35 [weight('<194,390,357,[1,0,0,3]>')]).
% 0.94/1.35 cnf('0.391.1.1',plain,
% 0.94/1.35 ( additive_inverse(X1) = multiply(add(X3,multiply(add(X1,multiply(X3,X1)),additive_inverse(X1))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.391.1.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.1','L')]).
% 0.94/1.35 cnf('0.391.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(add(X2,multiply(X1,X2)),additive_inverse(X2))),X2) = additive_inverse(X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.391.1.1',theory(equality)]),
% 0.94/1.35 [x,rule_385]).
% 0.94/1.35 cnf('0.392.0.0',plain,
% 0.94/1.35 ( additive_inverse(additive_inverse(X1)) = multiply(add(X2,multiply(add(additive_inverse(X1),multiply(X2,additive_inverse(X1))),X1)),additive_inverse(X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.391.2.0','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2.2','L')]).
% 0.94/1.35 cnf('0.392.0.1',plain,
% 0.94/1.35 ( X1 = multiply(add(X2,multiply(add(additive_inverse(X1),multiply(X2,additive_inverse(X1))),X1)),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.392.0.0','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.392.0.2',plain,
% 0.94/1.35 ( X1 = multiply(add(X2,multiply(additive_inverse(add(multiply(X2,X1),X1)),X1)),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.392.0.1','0.164.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.1','L')]).
% 0.94/1.35 cnf('0.392.0.3',plain,
% 0.94/1.35 ( X1 = multiply(add(X2,multiply(add(multiply(X2,X1),X1),additive_inverse(X1))),additive_inverse(X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.392.0.2','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2','L')]).
% 0.94/1.35 cnf('0.392.0.4',plain,
% 0.94/1.35 ( X1 = multiply(add(multiply(add(multiply(X2,X1),X1),X1),additive_inverse(X2)),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.392.0.3','0.241.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.392.1.0',plain,
% 0.94/1.35 ( X1 = multiply(add(multiply(add(multiply(X2,X1),X1),X1),additive_inverse(X2)),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.392.0.4']),
% 0.94/1.35 [weight('<181,391,12,[1,0,0,9]>')]).
% 0.94/1.35 cnf('0.392.1.1',plain,
% 0.94/1.35 ( X1 = multiply(add(additive_inverse(X2),multiply(add(multiply(X2,X1),X1),X1)),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.392.1.0','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.392.1.2',plain,
% 0.94/1.35 ( X1 = multiply(add(additive_inverse(X2),multiply(add(X1,multiply(X2,X1)),X1)),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.392.1.1','0.3.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.1','L')]).
% 0.94/1.35 cnf('0.392.2.0',plain,
% 0.94/1.35 ( multiply(add(additive_inverse(X1),multiply(add(X2,multiply(X1,X2)),X2)),X2) = X2 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.392.1.2',theory(equality)]),
% 0.94/1.35 [x,rule_386]).
% 0.94/1.35 cnf('0.394.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(add(X2,multiply(X2,multiply(X1,additive_inverse(X1)))),X3)) = add(additive_identity,multiply(X1,X3)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.7.2.0','0.252.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.394.0.1',plain,
% 0.94/1.35 ( multiply(X1,add(X2,add(multiply(X2,multiply(X1,additive_inverse(X1))),X3))) = add(additive_identity,multiply(X1,X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.394.0.0','0.4.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.394.0.2',plain,
% 0.94/1.35 ( multiply(X1,add(X2,add(multiply(X2,multiply(X1,additive_inverse(X1))),X3))) = multiply(X1,X3) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.394.0.1','0.9.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.394.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,add(multiply(X2,multiply(X1,additive_inverse(X1))),X3))) = multiply(X1,X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.394.0.2']),
% 0.94/1.35 [weight('<207,252,7,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.394.2.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,add(multiply(X2,multiply(X1,additive_inverse(X1))),X3))) = multiply(X1,X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.394.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_388]).
% 0.94/1.35 cnf('0.395.0.0',plain,
% 0.94/1.35 ( multiply(X1,additive_inverse(multiply(X2,multiply(X1,additive_inverse(X1))))) = multiply(X1,add(X2,additive_identity)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.394.2.0','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.395.0.1',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,additive_inverse(multiply(X1,additive_inverse(X1))))) = multiply(X1,add(X2,additive_identity)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.395.0.0','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.395.0.2',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,multiply(X1,additive_inverse(additive_inverse(X1))))) = multiply(X1,add(X2,additive_identity)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.395.0.1','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.395.0.3',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,multiply(X1,X1))) = multiply(X1,add(X2,additive_identity)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.395.0.2','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2.2','L')]).
% 0.94/1.35 cnf('0.395.0.4',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,multiply(X1,X1))) = multiply(X1,X2) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.395.0.3','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.395.1.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,multiply(X1,X1))) = multiply(X1,X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.395.0.4']),
% 0.94/1.35 [weight('<87,394,5,[1,0,0,4]>')]).
% 0.94/1.35 cnf('0.395.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X2,multiply(X1,X1))) = multiply(X1,X2) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.395.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_389]).
% 0.94/1.35 cnf('0.398.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,additive_inverse(multiply(X3,multiply(X1,additive_inverse(X1)))))) = multiply(X1,add(X3,X2)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.394.2.0','0.13.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.398.0.1',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X3,additive_inverse(multiply(X1,additive_inverse(X1)))))) = multiply(X1,add(X3,X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.398.0.0','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.398.0.2',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X3,multiply(X1,additive_inverse(additive_inverse(X1)))))) = multiply(X1,add(X3,X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.398.0.1','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2.2','L')]).
% 0.94/1.35 cnf('0.398.0.3',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X3,multiply(X1,X1)))) = multiply(X1,add(X3,X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.398.0.2','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2.2.2','L')]).
% 0.94/1.35 cnf('0.398.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X3,multiply(X1,X1)))) = multiply(X1,add(X3,X2)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.398.0.3']),
% 0.94/1.35 [weight('<149,394,13,[1,0,0,4]>')]).
% 0.94/1.35 cnf('0.398.2.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X3,multiply(X1,X1)))) = multiply(X1,add(X3,X2)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.398.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_392]).
% 0.94/1.35 cnf('0.404.0.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X3,X1))) = multiply(X1,multiply(add(X3,multiply(X2,X1)),X1)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.398.2.0','0.194.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.404.1.0',plain,
% 0.94/1.35 ( multiply(X1,add(X2,multiply(X3,X1))) = multiply(X1,multiply(add(X3,multiply(X2,X1)),X1)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.404.0.0']),
% 0.94/1.35 [weight('<169,398,194,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.404.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(X2,multiply(X3,X1)),X1)) = multiply(X1,add(X3,multiply(X2,X1))) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.404.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_398]).
% 0.94/1.35 cnf('0.433.0.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(multiply(X1,additive_inverse(X1)),X2),X3)) = multiply(add(additive_inverse(X1),multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.8.2.0','0.75.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.433.1.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(multiply(X1,additive_inverse(X1)),X2),X3)) = multiply(add(additive_inverse(X1),multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.433.0.0']),
% 0.94/1.35 [weight('<208,75,8,[0,0,0,1]>')]).
% 0.94/1.35 cnf('0.433.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(multiply(X1,additive_inverse(X1)),X2),X3)) = multiply(add(additive_inverse(X1),multiply(X1,X2)),X3) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.433.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_427]).
% 0.94/1.35 cnf('0.434.0.0',plain,
% 0.94/1.35 ( multiply(add(additive_inverse(X1),multiply(X1,multiply(X2,X2))),multiply(X2,X3)) = multiply(X1,multiply(add(X2,multiply(multiply(X1,additive_inverse(X1)),X2)),X3)) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.433.2.0','0.214.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.434.0.1',plain,
% 0.94/1.35 ( additive_identity = multiply(X1,multiply(add(X2,multiply(multiply(X1,additive_inverse(X1)),X2)),X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.434.0.0','0.292.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.434.0.2',plain,
% 0.94/1.35 ( additive_identity = multiply(X1,multiply(add(X2,multiply(X1,multiply(additive_inverse(X1),X2))),X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.434.0.1','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.1.2','L')]).
% 0.94/1.35 cnf('0.434.0.3',plain,
% 0.94/1.35 ( additive_identity = multiply(X1,multiply(add(X2,multiply(X1,multiply(X1,additive_inverse(X2)))),X3)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.434.0.2','0.160.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.1.2.2','L')]).
% 0.94/1.35 cnf('0.434.1.0',plain,
% 0.94/1.35 ( additive_identity = multiply(X1,multiply(add(X2,multiply(X1,multiply(X1,additive_inverse(X2)))),X3)) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.434.0.3']),
% 0.94/1.35 [weight('<181,433,214,[1,0,0,2]>')]).
% 0.94/1.35 cnf('0.434.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(add(X2,multiply(X1,multiply(X1,additive_inverse(X2)))),X3)) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.434.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_428]).
% 0.94/1.35 cnf('0.435.0.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,multiply(X2,additive_inverse(X1)))),X2) = multiply(add(X1,multiply(X2,multiply(X2,additive_inverse(X1)))),additive_identity) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.225.2.0','0.434.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2','L')]).
% 0.94/1.35 cnf('0.435.0.1',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,multiply(X2,additive_inverse(X1)))),X2) = additive_identity ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.435.0.0','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.435.1.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,multiply(X2,additive_inverse(X1)))),X2) = additive_identity ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.435.0.1']),
% 0.94/1.35 [weight('<131,434,225,[0,0,0,2]>')]).
% 0.94/1.35 cnf('0.435.2.0',plain,
% 0.94/1.35 ( multiply(add(X1,multiply(X2,multiply(X2,additive_inverse(X1)))),X2) = additive_identity ),
% 0.94/1.35 inference(orient,[status(thm)],['0.435.1.0',theory(equality)]),
% 0.94/1.35 [u,rule_429]).
% 0.94/1.35 cnf('0.448.0.0',plain,
% 0.94/1.35 ( X1 = multiply(add(additive_inverse(add(X2,multiply(X1,multiply(X1,additive_inverse(X2))))),multiply(add(X1,additive_identity),X1)),X1) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.392.2.0','0.435.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2.1.2','L')]).
% 0.94/1.35 cnf('0.448.0.1',plain,
% 0.94/1.35 ( X1 = multiply(add(add(multiply(X1,multiply(X1,X2)),additive_inverse(X2)),multiply(add(X1,additive_identity),X1)),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.448.0.0','0.240.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.1','L')]).
% 0.94/1.35 cnf('0.448.0.2',plain,
% 0.94/1.35 ( X1 = multiply(add(multiply(X1,multiply(X1,X2)),add(additive_inverse(X2),multiply(add(X1,additive_identity),X1))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.448.0.1','0.4.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.448.0.3',plain,
% 0.94/1.35 ( X1 = multiply(add(multiply(X1,multiply(X1,X2)),add(additive_inverse(X2),multiply(X1,X1))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.448.0.2','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.2.1','L')]).
% 0.94/1.35 cnf('0.448.0.4',plain,
% 0.94/1.35 ( X1 = multiply(add(additive_inverse(X2),multiply(X1,add(X1,multiply(X1,X2)))),X1) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.448.0.3','0.207.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.448.1.0',plain,
% 0.94/1.35 ( X1 = multiply(add(additive_inverse(X2),multiply(X1,add(X1,multiply(X1,X2)))),X1) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.448.0.4']),
% 0.94/1.35 [weight('<181,435,392,[0,0,0,7]>')]).
% 0.94/1.35 cnf('0.448.2.0',plain,
% 0.94/1.35 ( multiply(add(additive_inverse(X1),multiply(X2,add(X2,multiply(X2,X1)))),X2) = X2 ),
% 0.94/1.35 inference(orient,[status(thm)],['0.448.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_442]).
% 0.94/1.35 cnf('0.449.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(additive_inverse(multiply(X1,additive_inverse(X1))),multiply(add(X1,multiply(X2,X1)),add(add(X1,multiply(X2,X1)),additive_inverse(add(X1,multiply(X2,X1)))))),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.448.2.0','0.322.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.2.2.2','L')]).
% 0.94/1.35 cnf('0.449.0.1',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(multiply(X1,additive_inverse(additive_inverse(X1))),multiply(add(X1,multiply(X2,X1)),add(add(X1,multiply(X2,X1)),additive_inverse(add(X1,multiply(X2,X1)))))),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.0','0.161.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.1','L')]).
% 0.94/1.35 cnf('0.449.0.2',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(multiply(X1,X1),multiply(add(X1,multiply(X2,X1)),add(add(X1,multiply(X2,X1)),additive_inverse(add(X1,multiply(X2,X1)))))),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.1','0.12.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.1.2','L')]).
% 0.94/1.35 cnf('0.449.0.3',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(multiply(X1,X1),multiply(add(X1,multiply(X2,X1)),add(X1,add(multiply(X2,X1),additive_inverse(add(X1,multiply(X2,X1))))))),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.2','0.4.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.2','L')]).
% 0.94/1.35 cnf('0.449.0.4',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(multiply(X1,X1),multiply(add(X1,multiply(X2,X1)),add(multiply(X2,X1),additive_inverse(multiply(X2,X1))))),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.3','0.46.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.2','L')]).
% 0.94/1.35 cnf('0.449.0.5',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(multiply(X1,X1),multiply(add(X1,multiply(X2,X1)),additive_identity)),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.4','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2.2','L')]).
% 0.94/1.35 cnf('0.449.0.6',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(add(multiply(X1,X1),additive_identity),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.5','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1.2','L')]).
% 0.94/1.35 cnf('0.449.0.7',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(multiply(X1,X1),add(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.6','0.1.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.1','L')]).
% 0.94/1.35 cnf('0.449.0.8',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(X1,multiply(X1,add(X1,multiply(X2,X1)))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.449.0.7','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.449.1.0',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(X1,multiply(X1,add(X1,multiply(X2,X1)))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.449.0.8']),
% 0.94/1.35 [weight('<149,448,322,[1,0,0,8]>')]).
% 0.94/1.35 cnf('0.449.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,add(X1,multiply(X2,X1)))) = add(X1,multiply(X2,X1)) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.449.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_443]).
% 0.94/1.35 cnf('0.450.0.0',plain,
% 0.94/1.35 ( add(X1,multiply(add(multiply(X1,additive_inverse(X1)),X2),X1)) = multiply(X1,multiply(X1,add(X1,add(additive_inverse(X1),multiply(X2,X1))))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.449.2.0','0.190.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2.2','L')]).
% 0.94/1.35 cnf('0.450.0.1',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,add(X1,additive_inverse(X1))),X2),X1) = multiply(X1,multiply(X1,add(X1,add(additive_inverse(X1),multiply(X2,X1))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.450.0.0','0.350.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.450.0.2',plain,
% 0.94/1.35 ( multiply(add(multiply(X1,additive_identity),X2),X1) = multiply(X1,multiply(X1,add(X1,add(additive_inverse(X1),multiply(X2,X1))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.450.0.1','0.5.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.1.2','L')]).
% 0.94/1.35 cnf('0.450.0.3',plain,
% 0.94/1.35 ( multiply(add(additive_identity,X2),X1) = multiply(X1,multiply(X1,add(X1,add(additive_inverse(X1),multiply(X2,X1))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.450.0.2','0.26.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1.1','L')]).
% 0.94/1.35 cnf('0.450.0.4',plain,
% 0.94/1.35 ( multiply(X2,X1) = multiply(X1,multiply(X1,add(X1,add(additive_inverse(X1),multiply(X2,X1))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.450.0.3','0.9.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.1','L')]).
% 0.94/1.35 cnf('0.450.0.5',plain,
% 0.94/1.35 ( multiply(X2,X1) = multiply(X1,multiply(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.450.0.4','0.11.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.2','L')]).
% 0.94/1.35 cnf('0.450.1.0',plain,
% 0.94/1.35 ( multiply(X2,X1) = multiply(X1,multiply(X1,multiply(X2,X1))) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.450.0.5']),
% 0.94/1.35 [weight('<87,449,190,[1,0,0,6]>')]).
% 0.94/1.35 cnf('0.450.2.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,multiply(X2,X1))) = multiply(X2,X1) ),
% 0.94/1.35 inference(orient,[status(thm)],['0.450.1.0',theory(equality)]),
% 0.94/1.35 [x,rule_444]).
% 0.94/1.35 cnf('0.451.0.0',plain,
% 0.94/1.35 ( multiply(X1,multiply(X1,add(X1,multiply(X2,X1)))) = multiply(multiply(X1,add(X1,multiply(X2,X1))),multiply(multiply(X1,add(X1,multiply(X2,X1))),add(X1,multiply(X2,X1)))) ),
% 0.94/1.35 inference(cp,[status(thm)],['0.450.2.0','0.449.2.0',theory(equality)]),
% 0.94/1.35 [pos('L.2.2','L')]).
% 0.94/1.35 cnf('0.451.0.1',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(multiply(X1,add(X1,multiply(X2,X1))),multiply(multiply(X1,add(X1,multiply(X2,X1))),add(X1,multiply(X2,X1)))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.451.0.0','0.449.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('0.451.0.2',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(X1,multiply(add(X1,multiply(X2,X1)),multiply(multiply(X1,add(X1,multiply(X2,X1))),add(X1,multiply(X2,X1))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.451.0.1','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.451.0.3',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(X1,multiply(add(X1,multiply(X2,X1)),multiply(X1,multiply(add(X1,multiply(X2,X1)),add(X1,multiply(X2,X1)))))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.451.0.2','0.8.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2.2','L')]).
% 0.94/1.35 cnf('0.451.0.4',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(X1,multiply(add(X1,multiply(X2,X1)),X1)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.451.0.3','0.395.2.0',theory(equality)]),
% 0.94/1.35 [pos('R.2','L')]).
% 0.94/1.35 cnf('0.451.0.5',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = multiply(X1,add(X2,multiply(X1,X1))) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.451.0.4','0.404.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.451.0.6',plain,
% 0.94/1.35 ( add(X1,multiply(X2,X1)) = add(X1,multiply(X1,X2)) ),
% 0.94/1.35 inference(reduction,[status(thm)],['0.451.0.5','0.28.2.0',theory(equality)]),
% 0.94/1.35 [pos('R','L')]).
% 0.94/1.35 cnf('0.451.1.0',plain,
% 0.94/1.35 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.94/1.35 inference(weigh,[status(thm)],['0.451.0.6']),
% 0.94/1.35 [weight('<48,450,449,[1,0,0,4]>')]).
% 0.94/1.35 cnf('0.451.2.0',plain,
% 0.94/1.35 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.94/1.35 inference(activate,[status(thm)],['0.451.1.0']),
% 0.94/1.35 [equation_7]).
% 0.94/1.35 cnf('1.0.0.0',conjecture,
% 0.94/1.35 ( multiply(a,b) = multiply(b,a) ),
% 0.94/1.35 file('/tmp/WALDMEISTER_15194_n028',conjecture_1)).
% 0.94/1.35 cnf('1.0.0.1',plain,
% 0.94/1.35 ( multiply(b,a) = multiply(b,a) ),
% 0.94/1.35 inference(reduction,[status(thm)],['1.0.0.0','0.451.2.0',theory(equality)]),
% 0.94/1.35 [pos('L','L')]).
% 0.94/1.35 cnf('1.0.0.2',plain,
% 0.94/1.35 ( $true ),
% 0.94/1.35 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.94/1.35 [conjecture_1]).
% 0.94/1.35
% 0.94/1.35 Proved Goals:
% 0.94/1.35 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.94/1.35 1 goal was specified, which was proved.
% 0.94/1.35 % SZS output end CNFRefutation
% 0.94/1.35 #END OF PROOF
% 0.94/1.35
% 0.94/1.35 Problem WALDMEISTER_15194_n028
% 0.94/1.35 CPs.gen 57687
% 0.94/1.35 CPs.reexp 0
% 0.94/1.35 Select 4269
% 0.94/1.35 R 444
% 0.94/1.35 E 7
% 0.94/1.35 vsize 6.6M
% 0.94/1.35 rss 4.0M
% 0.94/1.35 process.time 0.389s
% 0.94/1.35 wallclock.time 0.389s
% 0.94/1.35 status S
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35 Waldmeister states: Goal proved.
% 0.94/1.35 % SZS status Unsatisfiable
%------------------------------------------------------------------------------