TSTP Solution File: RNG027-9 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG027-9 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 20:47:27 EDT 2022
% Result : Unsatisfiable 1.46s 1.89s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG027-9 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 20:05:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.56/0.93 ********************************************************************************
% 0.56/0.93 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.93 * |/ | \/ | *
% 0.56/0.93 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.93 * A. Jaeger and B. Loechner | | *
% 0.56/0.93 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.93 ********************************************************************************
% 0.56/0.93
% 0.56/0.93
% 0.56/0.93 Goals:
% 0.56/0.93 ------
% 0.56/0.93
% 0.56/0.93 ( 1) multiply(associator(x,y,z),x) ?=? associator(x,multiply(x,y),z)
% 0.56/0.93
% 0.56/0.93 Detected structure: NichtassoziativerRing
% 0.56/0.93 ********************************************************************************
% 0.56/0.93 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.93 ********************************************************************************
% 0.56/0.93
% 1.46/1.88 joined goal: 1 multiply(associator(x,y,z),x) ?= associator(x,multiply(x,y),z) to add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))
% 1.46/1.88 goal joined
% 1.46/1.89 % SZS status Unsatisfiable
% 1.46/1.89 #START OF PROOF
% 1.46/1.89 % SZS output start CNFRefutation
% 1.46/1.89 cnf('0.1.0.0',axiom,
% 1.46/1.89 ( X1 = add(X1,additive_identity) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.1.1.0',plain,
% 1.46/1.89 ( X1 = add(X1,additive_identity) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.46/1.89 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.1.2.0',plain,
% 1.46/1.89 ( add(X1,additive_identity) = X1 ),
% 1.46/1.89 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_1]).
% 1.46/1.89 cnf('0.2.0.0',axiom,
% 1.46/1.89 ( X1 = add(additive_identity,X1) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.2.1.0',plain,
% 1.46/1.89 ( X1 = add(additive_identity,X1) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.46/1.89 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.2.2.0',plain,
% 1.46/1.89 ( add(additive_identity,X1) = X1 ),
% 1.46/1.89 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_2]).
% 1.46/1.89 cnf('0.3.0.0',axiom,
% 1.46/1.89 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.3.1.0',plain,
% 1.46/1.89 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.46/1.89 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.46/1.89 cnf('0.3.2.0',plain,
% 1.46/1.89 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 1.46/1.89 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_3]).
% 1.46/1.89 cnf('0.5.0.0',axiom,
% 1.46/1.89 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.5.1.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.46/1.89 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.46/1.89 cnf('0.5.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),X2) = multiply(X1,multiply(X2,X2)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_5]).
% 1.46/1.89 cnf('0.6.0.0',axiom,
% 1.46/1.89 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.6.1.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.46/1.89 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.46/1.89 cnf('0.6.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_6]).
% 1.46/1.89 cnf('0.7.0.0',axiom,
% 1.46/1.89 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.7.1.0',plain,
% 1.46/1.89 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.46/1.89 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.46/1.89 cnf('0.7.2.0',plain,
% 1.46/1.89 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_7]).
% 1.46/1.89 cnf('0.8.0.0',axiom,
% 1.46/1.89 ( multiply(X1,add(X2,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.8.1.0',plain,
% 1.46/1.89 ( multiply(X1,add(X2,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.46/1.89 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.46/1.89 cnf('0.8.1.1',plain,
% 1.46/1.89 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.8.1.0','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.8.2.0',plain,
% 1.46/1.89 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 1.46/1.89 [u,rule_8]).
% 1.46/1.89 cnf('0.10.0.0',axiom,
% 1.46/1.89 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.10.1.0',plain,
% 1.46/1.89 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.46/1.89 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.46/1.89 cnf('0.10.2.0',plain,
% 1.46/1.89 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_10]).
% 1.46/1.89 cnf('0.11.0.0',axiom,
% 1.46/1.89 ( multiply(add(X1,additive_inverse(X2)),X3) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.11.1.0',plain,
% 1.46/1.89 ( multiply(add(X1,additive_inverse(X2)),X3) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.46/1.89 [weight('<12,0,0,[0,0,0,13]>')]).
% 1.46/1.89 cnf('0.11.1.1',plain,
% 1.46/1.89 ( add(multiply(X1,X3),multiply(additive_inverse(X2),X3)) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.11.1.0','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.11.2.0',plain,
% 1.46/1.89 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 1.46/1.89 [u,rule_11]).
% 1.46/1.89 cnf('0.14.0.0',axiom,
% 1.46/1.89 ( add(X1,X2) = add(X2,X1) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.14.1.0',plain,
% 1.46/1.89 ( add(X1,X2) = add(X2,X1) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.46/1.89 [weight('<16,0,0,[0,0,0,17]>')]).
% 1.46/1.89 cnf('0.14.2.0',plain,
% 1.46/1.89 ( add(X1,X2) = add(X2,X1) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.14.1.0']),
% 1.46/1.89 [equation_1]).
% 1.46/1.89 cnf('0.15.0.0',axiom,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.15.1.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.46/1.89 [weight('<17,0,0,[0,0,0,18]>')]).
% 1.46/1.89 cnf('0.15.2.0',plain,
% 1.46/1.89 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_14]).
% 1.46/1.89 cnf('0.16.0.0',axiom,
% 1.46/1.89 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.16.1.0',plain,
% 1.46/1.89 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.46/1.89 [weight('<18,0,0,[0,0,0,19]>')]).
% 1.46/1.89 cnf('0.16.2.0',plain,
% 1.46/1.89 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.46/1.89 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_15]).
% 1.46/1.89 cnf('0.18.0.0',axiom,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018')).
% 1.46/1.89 cnf('0.18.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.46/1.89 [weight('<20,0,0,[0,0,0,21]>')]).
% 1.46/1.89 cnf('0.18.1.1',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) = associator(X1,X2,X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.18.1.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.18.2.0',plain,
% 1.46/1.89 ( associator(X1,X2,X3) = add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 1.46/1.89 [x,rule_17]).
% 1.46/1.89 cnf('0.20.0.0',plain,
% 1.46/1.89 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.16.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.20.0.1',plain,
% 1.46/1.89 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.20.1.0',plain,
% 1.46/1.89 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.20.0.1']),
% 1.46/1.89 [weight('<6,16,15,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.20.2.0',plain,
% 1.46/1.89 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.46/1.89 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_19]).
% 1.46/1.89 cnf('0.21.0.0',plain,
% 1.46/1.89 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1','L')]).
% 1.46/1.89 cnf('0.21.1.0',plain,
% 1.46/1.89 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.21.0.0']),
% 1.46/1.89 [weight('<6,20,3,[1,0,0,3]>')]).
% 1.46/1.89 cnf('0.21.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(X1,X2)) = X2 ),
% 1.46/1.89 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_20]).
% 1.46/1.89 cnf('0.22.0.0',plain,
% 1.46/1.89 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.22.1.0',plain,
% 1.46/1.89 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.46/1.89 [weight('<6,20,14,[1,0,0,2]>')]).
% 1.46/1.89 cnf('0.22.2.0',plain,
% 1.46/1.89 ( add(X1,add(X2,additive_inverse(X1))) = X2 ),
% 1.46/1.89 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_21]).
% 1.46/1.89 cnf('0.23.0.0',plain,
% 1.46/1.89 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.21.2.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.23.1.0',plain,
% 1.46/1.89 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.46/1.89 [weight('<6,21,14,[1,0,0,3]>')]).
% 1.46/1.89 cnf('0.23.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(X2,X1)) = X2 ),
% 1.46/1.89 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_22]).
% 1.46/1.89 cnf('0.24.0.0',plain,
% 1.46/1.89 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.23.2.0','0.21.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.24.1.0',plain,
% 1.46/1.89 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.24.0.0']),
% 1.46/1.89 [weight('<6,23,21,[1,0,0,3]>')]).
% 1.46/1.89 cnf('0.24.1.1',plain,
% 1.46/1.89 ( additive_inverse(X1) = add(X2,additive_inverse(add(X1,X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.24.1.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.24.2.0',plain,
% 1.46/1.89 ( add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 1.46/1.89 [x,rule_23]).
% 1.46/1.89 cnf('0.25.0.0',plain,
% 1.46/1.89 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.21.2.0','0.24.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.25.1.0',plain,
% 1.46/1.89 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.46/1.89 [weight('<4,24,21,[0,0,0,3]>')]).
% 1.46/1.89 cnf('0.25.2.0',plain,
% 1.46/1.89 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_24]).
% 1.46/1.89 cnf('0.27.0.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X1),multiply(X2,X2)) = multiply(multiply(X1,multiply(X1,X2)),X2) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.27.0.1',plain,
% 1.46/1.89 ( multiply(X1,multiply(X1,multiply(X2,X2))) = multiply(multiply(X1,multiply(X1,X2)),X2) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.27.0.0','0.6.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.27.1.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(X1,multiply(X2,X2))) = multiply(multiply(X1,multiply(X1,X2)),X2) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.27.0.1']),
% 1.46/1.89 [weight('<7,6,5,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.27.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X2) = multiply(X1,multiply(X1,multiply(X2,X2))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_26]).
% 1.46/1.89 cnf('0.28.0.0',plain,
% 1.46/1.89 ( add(X1,add(add(X2,additive_inverse(X1)),X3)) = add(X2,X3) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.22.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.28.0.1',plain,
% 1.46/1.89 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.28.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.28.1.0',plain,
% 1.46/1.89 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.28.0.1']),
% 1.46/1.89 [weight('<8,22,15,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.28.2.0',plain,
% 1.46/1.89 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_27]).
% 1.46/1.89 cnf('0.30.0.0',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(add(X2,X1),X3)) = add(X2,X3) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.23.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.30.0.1',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.30.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.30.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.30.0.1']),
% 1.46/1.89 [weight('<8,23,15,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.30.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_29]).
% 1.46/1.89 cnf('0.31.0.0',plain,
% 1.46/1.89 ( add(X1,X2) = add(additive_inverse(X3),add(X1,add(X2,X3))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.23.2.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.31.1.0',plain,
% 1.46/1.89 ( add(X1,X2) = add(additive_inverse(X3),add(X1,add(X2,X3))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.31.0.0']),
% 1.46/1.89 [weight('<8,23,15,[1,0,0,3]>')]).
% 1.46/1.89 cnf('0.31.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(X2,add(X3,X1))) = add(X2,X3) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_30]).
% 1.46/1.89 cnf('0.32.0.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.32.1.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.46/1.89 [weight('<10,15,14,[1,0,0,0]>')]).
% 1.46/1.89 cnf('0.32.2.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.32.1.0']),
% 1.46/1.89 [equation_2]).
% 1.46/1.89 cnf('0.33.0.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(add(X2,X1),X3) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.33.0.1',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.33.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.33.1.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.33.0.1']),
% 1.46/1.89 [weight('<10,15,14,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.33.2.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.33.1.0']),
% 1.46/1.89 [equation_3]).
% 1.46/1.89 cnf('0.37.0.0',plain,
% 1.46/1.89 ( add(add(X1,X2),X3) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.31.2.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.37.0.1',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.37.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.37.1.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.37.0.1']),
% 1.46/1.89 [weight('<10,31,15,[1,0,0,3]>')]).
% 1.46/1.89 cnf('0.37.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(X1),add(X2,add(X3,add(X4,X1)))) = add(X2,add(X3,X4)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_34]).
% 1.46/1.89 cnf('0.38.0.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.32.2.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.38.1.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.38.0.0']),
% 1.46/1.89 [weight('<10,32,14,[1,1,0,2]>')]).
% 1.46/1.89 cnf('0.38.2.0',plain,
% 1.46/1.89 ( add(X1,add(X2,X3)) = add(X3,add(X2,X1)) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.38.1.0']),
% 1.46/1.89 [equation_4]).
% 1.46/1.89 cnf('0.39.0.0',plain,
% 1.46/1.89 ( multiply(add(X1,X2),multiply(add(X1,X2),X3)) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.39.1.0',plain,
% 1.46/1.89 ( multiply(add(X1,X2),multiply(add(X1,X2),X3)) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.39.0.0']),
% 1.46/1.89 [weight('<13,7,6,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.39.1.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(add(X1,X2),X3)),multiply(X2,multiply(add(X1,X2),X3))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.0','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.39.1.2',plain,
% 1.46/1.89 ( add(multiply(X1,add(multiply(X1,X3),multiply(X2,X3))),multiply(X2,multiply(add(X1,X2),X3))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.1','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.39.1.3',plain,
% 1.46/1.89 ( add(add(multiply(X1,multiply(X1,X3)),multiply(X1,multiply(X2,X3))),multiply(X2,multiply(add(X1,X2),X3))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.2','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.39.1.4',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),multiply(X2,multiply(add(X1,X2),X3)))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.3','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.39.1.5',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),multiply(X2,add(multiply(X1,X3),multiply(X2,X3))))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.4','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('0.39.1.6',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.5','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.39.1.7',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(multiply(add(X1,X2),X1),X3),multiply(multiply(add(X1,X2),X2),X3)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.6','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.39.1.8',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(add(multiply(X1,X1),multiply(X2,X1)),X3),multiply(multiply(add(X1,X2),X2),X3)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.7','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.1','L')]).
% 1.46/1.89 cnf('0.39.1.9',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(add(multiply(multiply(X1,X1),X3),multiply(multiply(X2,X1),X3)),multiply(multiply(add(X1,X2),X2),X3)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.8','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.39.1.10',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(multiply(X1,X1),X3),add(multiply(multiply(X2,X1),X3),multiply(multiply(add(X1,X2),X2),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.9','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.39.1.11',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),multiply(multiply(add(X1,X2),X2),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.10','0.6.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.39.1.12',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),multiply(add(multiply(X1,X2),multiply(X2,X2)),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.11','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.1','L')]).
% 1.46/1.89 cnf('0.39.1.13',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X2),X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.12','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('0.39.1.14',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),add(multiply(multiply(X1,X2),X3),multiply(X2,multiply(X2,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.13','0.6.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2','L')]).
% 1.46/1.89 cnf('0.39.1.15',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(multiply(X2,X1),X3),add(multiply(X2,multiply(X2,X3)),multiply(multiply(X1,X2),X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.14','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('0.39.1.16',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X3)),add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3))))) = add(multiply(X1,multiply(X1,X3)),add(multiply(X2,multiply(X2,X3)),add(multiply(multiply(X2,X1),X3),multiply(multiply(X1,X2),X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.39.1.15','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.39.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X3),X2),multiply(multiply(X3,X1),X2))) = add(multiply(X3,multiply(X1,X2)),add(multiply(X1,multiply(X3,X2)),multiply(X1,multiply(X1,X2)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.39.1.16',theory(equality)]),
% 1.46/1.89 [x,rule_35]).
% 1.46/1.89 cnf('0.40.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3)))) = add(multiply(X2,multiply(X2,X3)),add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.39.2.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.40.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),multiply(X2,multiply(X2,X3)))) = add(multiply(X2,multiply(X2,X3)),add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.46/1.89 [weight('<17,39,0,[1,0,0,6]>')]).
% 1.46/1.89 cnf('0.40.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X3,X1),X2),multiply(multiply(X1,X3),X2))) = add(multiply(X3,multiply(X1,X2)),add(multiply(X1,multiply(X3,X2)),multiply(X1,multiply(X1,X2)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_36]).
% 1.46/1.89 cnf('0.41.0.0',plain,
% 1.46/1.89 ( add(X1,add(multiply(multiply(X2,X3),X4),multiply(multiply(X3,X2),X4))) = add(additive_inverse(multiply(X3,multiply(X3,X4))),add(X1,add(multiply(X2,multiply(X3,X4)),add(multiply(X3,multiply(X2,X4)),multiply(X3,multiply(X3,X4)))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.30.2.0','0.40.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.41.0.1',plain,
% 1.46/1.89 ( add(X1,add(multiply(multiply(X2,X3),X4),multiply(multiply(X3,X2),X4))) = add(X1,add(multiply(X2,multiply(X3,X4)),multiply(X3,multiply(X2,X4)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.41.0.0','0.37.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.41.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X2,X3),X4),multiply(multiply(X3,X2),X4)) = add(multiply(X2,multiply(X3,X4)),multiply(X3,multiply(X2,X4))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.41.0.1']),
% 1.46/1.89 [weight('<11,40,30,[0,0,0,5]>')]).
% 1.46/1.89 cnf('0.41.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3)) = add(multiply(X1,multiply(X2,X3)),multiply(X2,multiply(X1,X3))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_37]).
% 1.46/1.89 cnf('0.42.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X2)),multiply(X2,multiply(X1,X2))) = add(multiply(X1,multiply(X2,X2)),multiply(multiply(X2,X1),X2)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.41.2.0','0.5.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.42.1.0',plain,
% 1.46/1.89 ( multiply(X2,multiply(X1,X2)) = multiply(multiply(X2,X1),X2) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.46/1.89 [weight('<5,41,5,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.42.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_38]).
% 1.46/1.89 cnf('0.43.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(multiply(X1,X2),X2)),multiply(multiply(X1,X2),multiply(X1,X2))) = add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(multiply(multiply(X1,X2),X1),X2)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.41.2.0','0.27.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.43.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(multiply(X1,X2),multiply(X1,X2))) = add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(multiply(multiply(X1,X2),X1),X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.43.0.0','0.5.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.43.1.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X1,X2)) = multiply(multiply(multiply(X1,X2),X1),X2) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.43.0.1']),
% 1.46/1.89 [weight('<7,41,27,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.43.1.1',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X1,X2)) = multiply(multiply(X1,multiply(X2,X1)),X2) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.43.1.0','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.43.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X2,X1)),X2) = multiply(multiply(X1,X2),multiply(X1,X2)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.43.1.1',theory(equality)]),
% 1.46/1.89 [x,rule_39]).
% 1.46/1.89 cnf('0.47.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,additive_inverse(X3))),multiply(X2,multiply(X1,additive_inverse(X3)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X1),additive_inverse(X3))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.47.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,additive_inverse(multiply(X2,X3))),multiply(X2,multiply(X1,additive_inverse(X3)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X1),additive_inverse(X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.47.0.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.47.0.2',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,multiply(X1,additive_inverse(X3)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X1),additive_inverse(X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.47.0.1','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.47.0.3',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X2,additive_inverse(multiply(X1,X3)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X1),additive_inverse(X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.47.0.2','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.47.0.4',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(multiply(X2,multiply(X1,X3)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X2,X1),additive_inverse(X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.47.0.3','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.47.0.5',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(multiply(X2,multiply(X1,X3)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,X1),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.47.0.4','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.47.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(multiply(X2,multiply(X1,X3)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,X1),X3))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.47.0.5']),
% 1.46/1.89 [weight('<13,41,8,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.47.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(X2,X1),X3))) = add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(multiply(X2,multiply(X1,X3)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_43]).
% 1.46/1.89 cnf('0.48.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(add(multiply(X1,multiply(X2,X3)),multiply(X2,multiply(X1,X3))),X4) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.41.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.48.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),X4)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.48.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.48.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),X4)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.48.0.1']),
% 1.46/1.89 [weight('<13,41,15,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.48.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X2,X1),X3),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),X4)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_44]).
% 1.46/1.89 cnf('0.61.0.0',plain,
% 1.46/1.89 ( multiply(add(X1,X2),multiply(X3,add(X1,X2))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.42.2.0','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.61.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,add(X1,X2))),multiply(X2,multiply(X3,add(X1,X2)))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.0','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.61.0.2',plain,
% 1.46/1.89 ( add(multiply(X1,add(multiply(X3,X1),multiply(X3,X2))),multiply(X2,multiply(X3,add(X1,X2)))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.1','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.61.0.3',plain,
% 1.46/1.89 ( add(add(multiply(X1,multiply(X3,X1)),multiply(X1,multiply(X3,X2))),multiply(X2,multiply(X3,add(X1,X2)))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.2','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.61.0.4',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),multiply(X2,multiply(X3,add(X1,X2))))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.3','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.61.0.5',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),multiply(X2,add(multiply(X3,X1),multiply(X3,X2))))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.4','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('0.61.0.6',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.5','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.61.0.7',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(multiply(X1,X3),add(X1,X2)),multiply(multiply(X2,X3),add(X1,X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.6','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.61.0.8',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(add(multiply(multiply(X1,X3),X1),multiply(multiply(X1,X3),X2)),multiply(multiply(X2,X3),add(X1,X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.7','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.61.0.9',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(multiply(X1,X3),X1),add(multiply(multiply(X1,X3),X2),multiply(multiply(X2,X3),add(X1,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.8','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.61.0.10',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(X1,multiply(X3,X1)),add(multiply(multiply(X1,X3),X2),multiply(multiply(X2,X3),add(X1,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.9','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.61.0.11',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(X1,multiply(X3,X1)),add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X2,X3),X1),multiply(multiply(X2,X3),X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.10','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('0.61.0.12',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X1)),add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2))))) = add(multiply(X1,multiply(X3,X1)),add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X2,X3),X1),multiply(X2,multiply(X3,X2))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.0.11','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2','L')]).
% 1.46/1.89 cnf('0.61.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2)))) = add(multiply(multiply(X1,X3),X2),add(multiply(multiply(X2,X3),X1),multiply(X2,multiply(X3,X2)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.61.0.12']),
% 1.46/1.89 [weight('<17,42,10,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.61.1.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X3,X2)),add(multiply(X2,multiply(X3,X1)),multiply(X2,multiply(X3,X2)))) = add(multiply(multiply(X1,X3),X2),add(multiply(X2,multiply(X3,X2)),multiply(multiply(X2,X3),X1))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.61.1.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.61.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(X3,multiply(X2,X3)),multiply(multiply(X3,X2),X1))) = add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),multiply(X3,multiply(X2,X3)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.61.1.1',theory(equality)]),
% 1.46/1.89 [x,rule_57]).
% 1.46/1.89 cnf('0.62.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(additive_inverse(multiply(X3,multiply(X2,X3))),add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),multiply(X3,multiply(X2,X3))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.30.2.0','0.61.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.62.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.62.0.0','0.31.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.62.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.62.0.1']),
% 1.46/1.89 [weight('<11,61,30,[0,0,0,3]>')]).
% 1.46/1.89 cnf('0.62.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_58]).
% 1.46/1.89 cnf('0.63.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(multiply(X1,X2),X2)),multiply(X2,multiply(multiply(X1,X2),X1))) = add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(multiply(X2,multiply(X1,X2)),X1)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.62.2.0','0.27.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.63.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(X2,multiply(multiply(X1,X2),X1))) = add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(multiply(X2,multiply(X1,X2)),X1)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.63.0.0','0.5.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.63.0.2',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(X2,multiply(X1,multiply(X2,X1)))) = add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(multiply(X2,multiply(X1,X2)),X1)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.63.0.1','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.63.0.3',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(X2,multiply(X1,multiply(X2,X1)))) = add(multiply(X1,multiply(X1,multiply(X2,X2))),multiply(multiply(X2,X1),multiply(X2,X1))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.63.0.2','0.43.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.63.1.0',plain,
% 1.46/1.89 ( multiply(X2,multiply(X1,multiply(X2,X1))) = multiply(multiply(X2,X1),multiply(X2,X1)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.63.0.3']),
% 1.46/1.89 [weight('<7,62,27,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.63.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X1,X2)) = multiply(X1,multiply(X2,multiply(X1,X2))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_59]).
% 1.46/1.89 cnf('0.84.0.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))) = add(additive_inverse(multiply(multiply(X1,multiply(X2,X1)),X3)),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.47.2.0','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1.1','L')]).
% 1.46/1.89 cnf('0.84.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))) = add(additive_inverse(multiply(multiply(X1,multiply(X2,X1)),X3)),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.84.0.0']),
% 1.46/1.89 [weight('<17,47,42,[1,0,0,3]>')]).
% 1.46/1.89 cnf('0.84.1.1',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))) = add(additive_inverse(multiply(multiply(X1,multiply(X2,X1)),X3)),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.84.1.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.84.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X1,multiply(X2,X1)),X3)),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) = add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 1.46/1.89 [x,rule_80]).
% 1.46/1.89 cnf('0.150.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = add(multiply(multiply(X1,X2),X3),additive_identity) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.48.2.0','0.16.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.150.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.150.0.0','0.1.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.150.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.150.0.1']),
% 1.46/1.89 [weight('<23,48,16,[1,0,0,6]>')]).
% 1.46/1.89 cnf('0.150.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.150.1.0']),
% 1.46/1.89 [equation_6]).
% 1.46/1.89 cnf('0.151.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) = add(add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))),multiply(multiply(X3,X2),X1)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.62.2.0','0.150.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','R')]).
% 1.46/1.89 cnf('0.151.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) = add(multiply(X1,multiply(X2,X3)),add(add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3))),multiply(multiply(X3,X2),X1))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.151.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.151.0.2',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) = add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),multiply(multiply(X3,X2),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.151.0.1','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.151.1.0',plain,
% 1.46/1.89 ( multiply(X3,multiply(X2,X1)) = add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),multiply(multiply(X3,X2),X1))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.151.0.2']),
% 1.46/1.89 [weight('<18,150,62,[0,1,0,1]>')]).
% 1.46/1.89 cnf('0.151.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X3,X1),X2))) = multiply(X3,multiply(X1,X2)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_145]).
% 1.46/1.89 cnf('0.153.0.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(X2,X3)) = add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.151.2.0','0.32.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.153.1.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(X2,X3)) = add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.153.0.0']),
% 1.46/1.89 [weight('<18,151,32,[1,0,0,0]>')]).
% 1.46/1.89 cnf('0.153.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(multiply(X2,X3),X1)))) = multiply(X1,multiply(X2,X3)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_147]).
% 1.46/1.89 cnf('0.154.0.0',plain,
% 1.46/1.89 ( multiply(additive_inverse(X1),multiply(X2,X3)) = add(multiply(X2,additive_inverse(multiply(X3,X1))),add(additive_inverse(multiply(multiply(X2,X3),additive_inverse(X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.151.2.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.154.0.1',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(multiply(X2,additive_inverse(multiply(X3,X1))),add(additive_inverse(multiply(multiply(X2,X3),additive_inverse(X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.154.0.0','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.154.0.2',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(additive_inverse(multiply(multiply(X2,X3),additive_inverse(X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.154.0.1','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.154.0.3',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(additive_inverse(additive_inverse(multiply(multiply(X2,X3),X1))),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.154.0.2','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1.1','L')]).
% 1.46/1.89 cnf('0.154.0.4',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),multiply(multiply(additive_inverse(X1),X2),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.154.0.3','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('0.154.0.5',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),multiply(additive_inverse(multiply(X1,X2)),X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.154.0.4','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.1','L')]).
% 1.46/1.89 cnf('0.154.0.6',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),additive_inverse(multiply(multiply(X1,X2),X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.154.0.5','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('0.154.1.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),additive_inverse(multiply(multiply(X1,X2),X3)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.154.0.6']),
% 1.46/1.89 [weight('<19,151,8,[1,0,0,3]>')]).
% 1.46/1.89 cnf('0.154.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2)))) = additive_inverse(multiply(X3,multiply(X1,X2))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_148]).
% 1.46/1.89 cnf('0.155.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.154.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.155.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.155.0.0']),
% 1.46/1.89 [weight('<12,154,20,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.155.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X3,X1),X2))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_149]).
% 1.46/1.89 cnf('0.156.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,additive_inverse(X3))),additive_inverse(multiply(additive_inverse(X3),multiply(X1,X2)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(additive_inverse(X3),X1),X2))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.155.2.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.156.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,additive_inverse(multiply(X2,X3))),additive_inverse(multiply(additive_inverse(X3),multiply(X1,X2)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(additive_inverse(X3),X1),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.156.0.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.156.0.2',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(multiply(additive_inverse(X3),multiply(X1,X2)))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(additive_inverse(X3),X1),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.156.0.1','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.156.0.3',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),additive_inverse(additive_inverse(multiply(X3,multiply(X1,X2))))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(additive_inverse(X3),X1),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.156.0.2','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1','L')]).
% 1.46/1.89 cnf('0.156.0.4',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X3,multiply(X1,X2))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(multiply(additive_inverse(X3),X1),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.156.0.3','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.156.0.5',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X3,multiply(X1,X2))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(multiply(additive_inverse(multiply(X3,X1)),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.156.0.4','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1.1','L')]).
% 1.46/1.89 cnf('0.156.0.6',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X3,multiply(X1,X2))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),additive_inverse(additive_inverse(multiply(multiply(X3,X1),X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.156.0.5','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('0.156.0.7',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X3,multiply(X1,X2))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X3,X1),X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.156.0.6','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.156.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X3,multiply(X1,X2))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X3,X1),X2)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.156.0.7']),
% 1.46/1.89 [weight('<12,155,8,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.156.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X3,X1),X2)) = add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(X3,multiply(X1,X2))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_150]).
% 1.46/1.89 cnf('0.157.0.0',plain,
% 1.46/1.89 ( add(additive_inverse(additive_inverse(multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X2,X3),X1))) = additive_inverse(add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(X1,multiply(X2,X3))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.25.2.0','0.155.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.157.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = additive_inverse(add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(X1,multiply(X2,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.157.0.0','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.157.0.2',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(additive_inverse(additive_inverse(multiply(X1,multiply(X2,X3)))),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.157.0.1','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.157.0.3',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.157.0.2','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.157.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.157.0.3']),
% 1.46/1.89 [weight('<12,155,25,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.157.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(multiply(X2,X3),X1))) = add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_151]).
% 1.46/1.89 cnf('0.159.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X3,X1),X2)),X4)) = add(add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X3,multiply(X1,X2)))),X4) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.155.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.159.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X3,X1),X2)),X4)) = add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),X4)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.159.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.159.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X3,X1),X2)),X4)) = add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),X4)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.159.0.1']),
% 1.46/1.89 [weight('<14,155,15,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.159.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X3,X1),X2)),X4)) = add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),X4)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_153]).
% 1.46/1.89 cnf('0.161.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X2,X3),X1)),X4)) = add(add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(X2,multiply(X3,X1)))),X4) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.157.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.161.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X2,X3),X1)),X4)) = add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),X4)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.161.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.161.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X2,X3),X1)),X4)) = add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),X4)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.161.0.1']),
% 1.46/1.89 [weight('<14,157,15,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.161.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(multiply(multiply(X2,X3),X1)),X4)) = add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),X4)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_155]).
% 1.46/1.89 cnf('0.199.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),add(additive_inverse(multiply(X3,multiply(multiply(X1,X2),X1))),X4)) = add(multiply(multiply(X1,multiply(X2,X1)),X3),add(additive_inverse(multiply(multiply(X3,multiply(X1,X2)),X1)),X4)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.159.2.0','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1','L')]).
% 1.46/1.89 cnf('0.199.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),add(additive_inverse(multiply(X3,multiply(X1,multiply(X2,X1)))),X4)) = add(multiply(multiply(X1,multiply(X2,X1)),X3),add(additive_inverse(multiply(multiply(X3,multiply(X1,X2)),X1)),X4)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.199.0.0','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1.1.2','L')]).
% 1.46/1.89 cnf('0.199.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),add(additive_inverse(multiply(X3,multiply(X1,multiply(X2,X1)))),X4)) = add(multiply(multiply(X1,multiply(X2,X1)),X3),add(additive_inverse(multiply(multiply(X3,multiply(X1,X2)),X1)),X4)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.199.0.1']),
% 1.46/1.89 [weight('<18,159,42,[1,0,0,2]>')]).
% 1.46/1.89 cnf('0.199.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,multiply(X2,X1)),X3),add(additive_inverse(multiply(multiply(X3,multiply(X1,X2)),X1)),X4)) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(additive_inverse(multiply(X3,multiply(X1,multiply(X2,X1)))),X4)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_193]).
% 1.46/1.89 cnf('0.207.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),X4)) = add(multiply(multiply(X1,multiply(X2,X2)),X3),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),X4)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.161.2.0','0.5.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1','L')]).
% 1.46/1.89 cnf('0.207.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),X4)) = add(multiply(multiply(X1,multiply(X2,X2)),X3),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),X4)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.207.0.0']),
% 1.46/1.89 [weight('<18,161,5,[1,0,0,2]>')]).
% 1.46/1.89 cnf('0.207.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,multiply(X2,X2)),X3),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),X4)) = add(multiply(multiply(X1,X2),multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),X4)) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_201]).
% 1.46/1.89 cnf('0.227.0.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(X2,additive_inverse(X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(X2,multiply(additive_inverse(X3),X1)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.153.2.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.227.0.1',plain,
% 1.46/1.89 ( multiply(X1,additive_inverse(multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(X2,multiply(additive_inverse(X3),X1)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.227.0.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.227.0.2',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(X2,multiply(additive_inverse(X3),X1)),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.227.0.1','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.227.0.3',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(multiply(X2,additive_inverse(multiply(X3,X1))),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.227.0.2','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1.2','L')]).
% 1.46/1.89 cnf('0.227.0.4',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),additive_inverse(multiply(multiply(X2,additive_inverse(X3)),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.227.0.3','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('0.227.0.5',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),additive_inverse(multiply(additive_inverse(multiply(X2,X3)),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.227.0.4','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.1.1','L')]).
% 1.46/1.89 cnf('0.227.0.6',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),additive_inverse(additive_inverse(multiply(multiply(X2,X3),X1))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.227.0.5','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.1','L')]).
% 1.46/1.89 cnf('0.227.0.7',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),multiply(multiply(X2,X3),X1))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.227.0.6','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('0.227.1.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(X1,multiply(X2,X3))) = add(additive_inverse(multiply(multiply(X1,X2),X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),multiply(multiply(X2,X3),X1))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.227.0.7']),
% 1.46/1.89 [weight('<19,153,8,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.227.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X1,X2),X3)),add(additive_inverse(multiply(X2,multiply(X3,X1))),multiply(multiply(X2,X3),X1))) = additive_inverse(multiply(X1,multiply(X2,X3))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_221]).
% 1.46/1.89 cnf('0.250.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(multiply(X2,X3),X1))),X4)) = add(multiply(X1,multiply(X2,X3)),X4) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.15.2.0','0.153.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.250.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),add(additive_inverse(multiply(multiply(X2,X3),X1)),X4))) = add(multiply(X1,multiply(X2,X3)),X4) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.250.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.250.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),add(additive_inverse(multiply(multiply(X2,X3),X1)),X4))) = add(multiply(X1,multiply(X2,X3)),X4) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.250.0.1']),
% 1.46/1.89 [weight('<20,153,15,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.250.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),add(additive_inverse(multiply(multiply(X2,X3),X1)),X4))) = add(multiply(X1,multiply(X2,X3)),X4) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.250.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_244]).
% 1.46/1.89 cnf('0.251.0.0',plain,
% 1.46/1.89 ( add(add(multiply(X1,multiply(X2,X3)),additive_inverse(multiply(multiply(X1,X2),X3))),add(X4,multiply(multiply(X3,X1),X2))) = add(X4,multiply(X3,multiply(X1,X2))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.32.2.0','0.153.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.251.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),add(X4,multiply(multiply(X3,X1),X2)))) = add(X4,multiply(X3,multiply(X1,X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.251.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.251.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),add(X4,multiply(multiply(X3,X1),X2)))) = add(X4,multiply(X3,multiply(X1,X2))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.251.0.1']),
% 1.46/1.89 [weight('<20,153,32,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.251.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),add(X4,multiply(multiply(X3,X1),X2)))) = add(X4,multiply(X3,multiply(X1,X2))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.251.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_245]).
% 1.46/1.89 cnf('0.254.0.0',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(multiply(X3,multiply(X4,X2)),add(additive_inverse(add(multiply(X3,multiply(X4,X2)),add(multiply(X4,multiply(X3,X2)),additive_inverse(multiply(multiply(X4,X3),X2))))),add(X1,multiply(multiply(X2,X3),X4)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.251.2.0','0.150.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1.1','R')]).
% 1.46/1.89 cnf('0.254.0.1',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(multiply(X3,multiply(X4,X2)),add(add(additive_inverse(add(multiply(X4,multiply(X3,X2)),additive_inverse(multiply(multiply(X4,X3),X2)))),additive_inverse(multiply(X3,multiply(X4,X2)))),add(X1,multiply(multiply(X2,X3),X4)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.254.0.0','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('0.254.0.2',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(multiply(X3,multiply(X4,X2)),add(additive_inverse(add(multiply(X4,multiply(X3,X2)),additive_inverse(multiply(multiply(X4,X3),X2)))),add(additive_inverse(multiply(X3,multiply(X4,X2))),add(X1,multiply(multiply(X2,X3),X4))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.254.0.1','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.254.0.3',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(additive_inverse(add(multiply(X4,multiply(X3,X2)),additive_inverse(multiply(multiply(X4,X3),X2)))),add(X1,multiply(multiply(X2,X3),X4))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.254.0.2','0.28.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.254.0.4',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(add(additive_inverse(additive_inverse(multiply(multiply(X4,X3),X2))),additive_inverse(multiply(X4,multiply(X3,X2)))),add(X1,multiply(multiply(X2,X3),X4))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.254.0.3','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.254.0.5',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(additive_inverse(additive_inverse(multiply(multiply(X4,X3),X2))),add(additive_inverse(multiply(X4,multiply(X3,X2))),add(X1,multiply(multiply(X2,X3),X4)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.254.0.4','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.254.0.6',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(multiply(multiply(X4,X3),X2),add(additive_inverse(multiply(X4,multiply(X3,X2))),add(X1,multiply(multiply(X2,X3),X4)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.254.0.5','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.254.1.0',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(multiply(multiply(X4,X3),X2),add(additive_inverse(multiply(X4,multiply(X3,X2))),add(X1,multiply(multiply(X2,X3),X4)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.254.0.6']),
% 1.46/1.89 [weight('<20,251,150,[1,0,1,8]>')]).
% 1.46/1.89 cnf('0.254.1.1',plain,
% 1.46/1.89 ( add(X1,multiply(X2,multiply(X3,X4))) = add(additive_inverse(multiply(X4,multiply(X3,X2))),add(multiply(multiply(X4,X3),X2),add(X1,multiply(multiply(X2,X3),X4)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.254.1.0','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.254.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X3,X2),X1)))) = add(X4,multiply(X3,multiply(X2,X1))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.254.1.1',theory(equality)]),
% 1.46/1.89 [x,rule_248]).
% 1.46/1.89 cnf('0.255.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X3,X2),X1))) = add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X3,multiply(X2,X1)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.254.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.255.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X3,X2),X1))) = add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X3,multiply(X2,X1)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.255.0.0']),
% 1.46/1.89 [weight('<13,254,20,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.255.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(X4,multiply(multiply(X3,X2),X1))) = add(multiply(X1,multiply(X2,X3)),add(X4,multiply(X3,multiply(X2,X1)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.255.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_249]).
% 1.46/1.89 cnf('0.264.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),add(X4,multiply(X3,multiply(X1,multiply(X1,X2))))) = add(multiply(multiply(X1,multiply(X2,X1)),X3),add(X4,multiply(multiply(X3,X1),multiply(X1,X2)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.255.2.0','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1','L')]).
% 1.46/1.89 cnf('0.264.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),add(X4,multiply(X3,multiply(X1,multiply(X1,X2))))) = add(multiply(multiply(X1,multiply(X2,X1)),X3),add(X4,multiply(multiply(X3,X1),multiply(X1,X2)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.264.0.0']),
% 1.46/1.89 [weight('<17,255,42,[1,0,0,2]>')]).
% 1.46/1.89 cnf('0.264.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,multiply(X2,X1)),X3),add(X4,multiply(multiply(X3,X1),multiply(X1,X2)))) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(X4,multiply(X3,multiply(X1,multiply(X1,X2))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.264.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_258]).
% 1.46/1.89 cnf('0.265.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),add(additive_inverse(multiply(multiply(X3,multiply(X1,X2)),X1)),multiply(X3,multiply(X1,multiply(X1,X2))))) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(additive_inverse(multiply(X3,multiply(X1,multiply(X2,X1)))),multiply(multiply(X3,X1),multiply(X1,X2)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.264.2.0','0.199.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.265.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X3,multiply(X1,X2)),X1)),multiply(X3,multiply(X1,multiply(X1,X2)))) = add(additive_inverse(multiply(X3,multiply(X1,multiply(X2,X1)))),multiply(multiply(X3,X1),multiply(X1,X2))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.265.0.0']),
% 1.46/1.89 [weight('<16,264,199,[1,0,0,0]>')]).
% 1.46/1.89 cnf('0.265.1.1',plain,
% 1.46/1.89 ( add(multiply(X3,multiply(X1,multiply(X1,X2))),additive_inverse(multiply(multiply(X3,multiply(X1,X2)),X1))) = add(additive_inverse(multiply(X3,multiply(X1,multiply(X2,X1)))),multiply(multiply(X3,X1),multiply(X1,X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.265.1.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.265.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X2,X3))),additive_inverse(multiply(multiply(X1,multiply(X2,X3)),X2))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X2)))),multiply(multiply(X1,X2),multiply(X2,X3))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.265.1.1',theory(equality)]),
% 1.46/1.89 [u,rule_259]).
% 1.46/1.89 cnf('0.266.0.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,multiply(additive_inverse(X3),X2)))),multiply(multiply(X1,X2),multiply(X2,additive_inverse(X3)))) = add(multiply(X1,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.265.2.0','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2.2','L')]).
% 1.46/1.89 cnf('0.266.0.1',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,additive_inverse(multiply(X3,X2))))),multiply(multiply(X1,X2),multiply(X2,additive_inverse(X3)))) = add(multiply(X1,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.0','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1.2.2','L')]).
% 1.46/1.89 cnf('0.266.0.2',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,additive_inverse(multiply(X2,multiply(X3,X2))))),multiply(multiply(X1,X2),multiply(X2,additive_inverse(X3)))) = add(multiply(X1,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.1','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1.2','L')]).
% 1.46/1.89 cnf('0.266.0.3',plain,
% 1.46/1.89 ( add(additive_inverse(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X2))))),multiply(multiply(X1,X2),multiply(X2,additive_inverse(X3)))) = add(multiply(X1,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.2','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1','L')]).
% 1.46/1.89 cnf('0.266.0.4',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),multiply(multiply(X1,X2),multiply(X2,additive_inverse(X3)))) = add(multiply(X1,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.3','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.266.0.5',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),multiply(multiply(X1,X2),additive_inverse(multiply(X2,X3)))) = add(multiply(X1,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.4','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.266.0.6',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(multiply(X1,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.5','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.266.0.7',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(multiply(X1,additive_inverse(multiply(X2,multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.6','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.2','L')]).
% 1.46/1.89 cnf('0.266.0.8',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,multiply(X2,additive_inverse(X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.7','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.266.0.9',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,additive_inverse(multiply(X2,X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.8','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1.1.2','L')]).
% 1.46/1.89 cnf('0.266.0.10',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X2,X3)))),additive_inverse(multiply(additive_inverse(multiply(X1,multiply(X2,X3))),X2))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.9','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1.1','L')]).
% 1.46/1.89 cnf('0.266.0.11',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X2,X3)))),additive_inverse(additive_inverse(multiply(multiply(X1,multiply(X2,X3)),X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.10','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('0.266.0.12',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X2,X3)))),multiply(multiply(X1,multiply(X2,X3)),X2)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.266.0.11','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.266.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X2,X3)))),multiply(multiply(X1,multiply(X2,X3)),X2)) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.266.0.12']),
% 1.46/1.89 [weight('<16,265,8,[1,0,0,5]>')]).
% 1.46/1.89 cnf('0.266.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,multiply(X2,X3)))),multiply(multiply(X1,multiply(X2,X3)),X2)) = add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.266.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_260]).
% 1.46/1.89 cnf('0.267.0.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X2,X3)),X2) = add(multiply(X1,multiply(X2,multiply(X2,X3))),add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.266.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.267.1.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X2,X3)),X2) = add(multiply(X1,multiply(X2,multiply(X2,X3))),add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.267.0.0']),
% 1.46/1.89 [weight('<7,266,20,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.267.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X2,X3)),X2) = add(multiply(X1,multiply(X2,multiply(X2,X3))),add(multiply(X1,multiply(X2,multiply(X3,X2))),additive_inverse(multiply(multiply(X1,X2),multiply(X2,X3))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.267.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_261]).
% 1.46/1.89 cnf('0.280.0.0',plain,
% 1.46/1.89 ( add(add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)),add(X4,additive_inverse(multiply(multiply(X3,X1),X2)))) = add(X4,additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.32.2.0','0.227.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.280.0.1',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X3,X1),X2))))) = add(X4,additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.280.0.0','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.280.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X3,X1),X2))))) = add(X4,additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.280.0.1']),
% 1.46/1.89 [weight('<21,227,32,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.280.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X3,X1),X2))))) = add(X4,additive_inverse(multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.280.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_274]).
% 1.46/1.89 cnf('0.281.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X3,X1),X2)))) = add(multiply(X1,multiply(X2,X3)),add(X4,additive_inverse(multiply(X3,multiply(X1,X2))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.280.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.281.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X3,X1),X2)))) = add(multiply(X1,multiply(X2,X3)),add(X4,additive_inverse(multiply(X3,multiply(X1,X2))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.281.0.0']),
% 1.46/1.89 [weight('<14,280,20,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.281.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X3,X1),X2)))) = add(multiply(X1,multiply(X2,X3)),add(X4,additive_inverse(multiply(X3,multiply(X1,X2))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.281.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_275]).
% 1.46/1.89 cnf('0.283.0.0',plain,
% 1.46/1.89 ( add(additive_inverse(add(X1,additive_inverse(multiply(multiply(X2,X3),X4)))),additive_inverse(multiply(multiply(X3,X4),X2))) = additive_inverse(add(multiply(X3,multiply(X4,X2)),add(X1,additive_inverse(multiply(X2,multiply(X3,X4)))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.25.2.0','0.281.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.283.0.1',plain,
% 1.46/1.89 ( add(add(additive_inverse(additive_inverse(multiply(multiply(X2,X3),X4))),additive_inverse(X1)),additive_inverse(multiply(multiply(X3,X4),X2))) = additive_inverse(add(multiply(X3,multiply(X4,X2)),add(X1,additive_inverse(multiply(X2,multiply(X3,X4)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.283.0.0','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.283.0.2',plain,
% 1.46/1.89 ( add(additive_inverse(additive_inverse(multiply(multiply(X2,X3),X4))),add(additive_inverse(X1),additive_inverse(multiply(multiply(X3,X4),X2)))) = additive_inverse(add(multiply(X3,multiply(X4,X2)),add(X1,additive_inverse(multiply(X2,multiply(X3,X4)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.283.0.1','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.283.0.3',plain,
% 1.46/1.89 ( add(multiply(multiply(X2,X3),X4),add(additive_inverse(X1),additive_inverse(multiply(multiply(X3,X4),X2)))) = additive_inverse(add(multiply(X3,multiply(X4,X2)),add(X1,additive_inverse(multiply(X2,multiply(X3,X4)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.283.0.2','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.283.0.4',plain,
% 1.46/1.89 ( add(multiply(multiply(X2,X3),X4),add(additive_inverse(X1),additive_inverse(multiply(multiply(X3,X4),X2)))) = add(additive_inverse(add(X1,additive_inverse(multiply(X2,multiply(X3,X4))))),additive_inverse(multiply(X3,multiply(X4,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.283.0.3','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.283.0.5',plain,
% 1.46/1.89 ( add(multiply(multiply(X2,X3),X4),add(additive_inverse(X1),additive_inverse(multiply(multiply(X3,X4),X2)))) = add(add(additive_inverse(additive_inverse(multiply(X2,multiply(X3,X4)))),additive_inverse(X1)),additive_inverse(multiply(X3,multiply(X4,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.283.0.4','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.283.0.6',plain,
% 1.46/1.89 ( add(multiply(multiply(X2,X3),X4),add(additive_inverse(X1),additive_inverse(multiply(multiply(X3,X4),X2)))) = add(additive_inverse(additive_inverse(multiply(X2,multiply(X3,X4)))),add(additive_inverse(X1),additive_inverse(multiply(X3,multiply(X4,X2))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.283.0.5','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.283.0.7',plain,
% 1.46/1.89 ( add(multiply(multiply(X2,X3),X4),add(additive_inverse(X1),additive_inverse(multiply(multiply(X3,X4),X2)))) = add(multiply(X2,multiply(X3,X4)),add(additive_inverse(X1),additive_inverse(multiply(X3,multiply(X4,X2))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.283.0.6','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.283.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X2,X3),X4),add(additive_inverse(X1),additive_inverse(multiply(multiply(X3,X4),X2)))) = add(multiply(X2,multiply(X3,X4)),add(additive_inverse(X1),additive_inverse(multiply(X3,multiply(X4,X2))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.283.0.7']),
% 1.46/1.89 [weight('<15,281,25,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.283.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(additive_inverse(X4),additive_inverse(multiply(multiply(X2,X3),X1)))) = add(multiply(X1,multiply(X2,X3)),add(additive_inverse(X4),additive_inverse(multiply(X2,multiply(X3,X1))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.283.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_277]).
% 1.46/1.89 cnf('0.284.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(additive_inverse(X4)),additive_inverse(multiply(X2,multiply(X3,X1))))) = add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.283.2.0','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1','L')]).
% 1.46/1.89 cnf('0.284.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(X4,additive_inverse(multiply(X2,multiply(X3,X1))))) = add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.284.0.0','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1','L')]).
% 1.46/1.89 cnf('0.284.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(X4,additive_inverse(multiply(X2,multiply(X3,X1))))) = add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.284.0.1']),
% 1.46/1.89 [weight('<14,283,3,[1,0,0,7]>')]).
% 1.46/1.89 cnf('0.284.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),X3),add(X4,additive_inverse(multiply(multiply(X2,X3),X1)))) = add(multiply(X1,multiply(X2,X3)),add(X4,additive_inverse(multiply(X2,multiply(X3,X1))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.284.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_278]).
% 1.46/1.89 cnf('0.287.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(multiply(X2,X2),X3)),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),additive_inverse(multiply(multiply(X2,X2),multiply(X3,X1))))) = add(multiply(multiply(X1,X2),multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),additive_inverse(multiply(multiply(multiply(X2,X2),X3),X1)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.284.2.0','0.207.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.287.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X2,X3))),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),additive_inverse(multiply(multiply(X2,X2),multiply(X3,X1))))) = add(multiply(multiply(X1,X2),multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),additive_inverse(multiply(multiply(multiply(X2,X2),X3),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.287.0.0','0.6.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.287.0.2',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X2,X3))),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),additive_inverse(multiply(X2,multiply(X2,multiply(X3,X1)))))) = add(multiply(multiply(X1,X2),multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),additive_inverse(multiply(multiply(multiply(X2,X2),X3),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.287.0.1','0.6.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.1','L')]).
% 1.46/1.89 cnf('0.287.0.3',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X2,X3))),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),additive_inverse(multiply(X2,multiply(X2,multiply(X3,X1)))))) = add(multiply(multiply(X1,X2),multiply(X2,X3)),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),additive_inverse(multiply(multiply(X2,multiply(X2,X3)),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.287.0.2','0.6.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.1.1','L')]).
% 1.46/1.89 cnf('0.287.0.4',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X2,X3))),add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),additive_inverse(multiply(X2,multiply(X2,multiply(X3,X1)))))) = add(multiply(X1,multiply(X2,multiply(X2,X3))),add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),additive_inverse(multiply(X2,multiply(multiply(X2,X3),X1))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.287.0.3','0.284.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.287.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2))),additive_inverse(multiply(X2,multiply(X2,multiply(X3,X1))))) = add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),additive_inverse(multiply(X2,multiply(multiply(X2,X3),X1)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.287.0.4']),
% 1.46/1.89 [weight('<17,284,207,[1,0,0,0]>')]).
% 1.46/1.89 cnf('0.287.1.1',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X2,multiply(X2,multiply(X3,X1)))),additive_inverse(multiply(multiply(X2,X3),multiply(X1,X2)))) = add(additive_inverse(multiply(X2,multiply(X3,multiply(X1,X2)))),additive_inverse(multiply(X2,multiply(multiply(X2,X3),X1)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.287.1.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.287.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))),additive_inverse(multiply(multiply(X1,X2),multiply(X3,X1)))) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1)))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.287.1.1',theory(equality)]),
% 1.46/1.89 [u,rule_281]).
% 1.46/1.89 cnf('0.288.0.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(multiply(X1,X2),multiply(X3,X1))) = add(multiply(X1,multiply(X1,multiply(X2,X3))),add(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1)))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.287.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.288.1.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(multiply(X1,X2),multiply(X3,X1))) = add(multiply(X1,multiply(X1,multiply(X2,X3))),add(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1)))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.288.0.0']),
% 1.46/1.89 [weight('<8,287,20,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.288.2.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(multiply(X1,X2),multiply(X3,X1))) = add(multiply(X1,multiply(X1,multiply(X2,X3))),add(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1)))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.288.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_282]).
% 1.46/1.89 cnf('0.289.0.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = additive_inverse(add(multiply(X1,multiply(X1,multiply(X2,X3))),add(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1)))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.3.2.0','0.288.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.289.0.1',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(additive_inverse(add(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1)))),additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))))),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.289.0.0','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.289.0.2',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(add(additive_inverse(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))),additive_inverse(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1)))))),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.289.0.1','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.289.0.3',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(additive_inverse(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))),add(additive_inverse(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1))))),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.289.0.2','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.289.0.4',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(multiply(X1,multiply(multiply(X1,X2),X3)),add(additive_inverse(additive_inverse(multiply(X1,multiply(X2,multiply(X3,X1))))),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.289.0.3','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.289.0.5',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(multiply(X1,multiply(multiply(X1,X2),X3)),add(multiply(X1,multiply(X2,multiply(X3,X1))),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.289.0.4','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('0.289.1.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(multiply(X1,multiply(multiply(X1,X2),X3)),add(multiply(X1,multiply(X2,multiply(X3,X1))),additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.289.0.5']),
% 1.46/1.89 [weight('<7,288,3,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.289.1.1',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))),add(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(X1,multiply(X2,multiply(X3,X1))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.289.1.0','0.32.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.289.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),multiply(X3,X1)) = add(additive_inverse(multiply(X1,multiply(X1,multiply(X2,X3)))),add(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(X1,multiply(X2,multiply(X3,X1))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.289.1.1',theory(equality)]),
% 1.46/1.89 [u,rule_283]).
% 1.46/1.89 cnf('0.335.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),additive_inverse(additive_inverse(multiply(multiply(X2,X3),X1)))) = add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_identity)) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.250.2.0','0.16.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.335.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),multiply(multiply(X2,X3),X1)) = add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_identity)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.335.0.0','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.335.0.2',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),multiply(multiply(X2,X3),X1)) = add(multiply(multiply(X1,X2),X3),multiply(X2,multiply(X3,X1))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.335.0.1','0.1.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.335.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),multiply(multiply(X2,X3),X1)) = add(multiply(multiply(X1,X2),X3),multiply(X2,multiply(X3,X1))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.335.0.2']),
% 1.46/1.89 [weight('<22,250,16,[1,0,0,12]>')]).
% 1.46/1.89 cnf('0.335.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),multiply(multiply(X2,X3),X1)) = add(multiply(multiply(X1,X2),X3),multiply(X2,multiply(X3,X1))) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.335.1.0']),
% 1.46/1.89 [equation_7]).
% 1.46/1.89 cnf('0.355.0.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(add(X2,X3),multiply(X1,add(X2,X3)))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.63.2.0','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.355.0.1',plain,
% 1.46/1.89 ( multiply(X1,add(multiply(X2,multiply(X1,add(X2,X3))),multiply(X3,multiply(X1,add(X2,X3))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.0','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.355.0.2',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,add(X2,X3)))),multiply(X1,multiply(X3,multiply(X1,add(X2,X3))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.1','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.355.0.3',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,add(multiply(X1,X2),multiply(X1,X3)))),multiply(X1,multiply(X3,multiply(X1,add(X2,X3))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.2','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2.2','L')]).
% 1.46/1.89 cnf('0.355.0.4',plain,
% 1.46/1.89 ( add(multiply(X1,add(multiply(X2,multiply(X1,X2)),multiply(X2,multiply(X1,X3)))),multiply(X1,multiply(X3,multiply(X1,add(X2,X3))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.3','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.2','L')]).
% 1.46/1.89 cnf('0.355.0.5',plain,
% 1.46/1.89 ( add(add(multiply(X1,multiply(X2,multiply(X1,X2))),multiply(X1,multiply(X2,multiply(X1,X3)))),multiply(X1,multiply(X3,multiply(X1,add(X2,X3))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.4','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.355.0.6',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,multiply(X3,multiply(X1,add(X2,X3)))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.5','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.355.0.7',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,multiply(X3,add(multiply(X1,X2),multiply(X1,X3)))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.6','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2','L')]).
% 1.46/1.89 cnf('0.355.0.8',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,add(multiply(X3,multiply(X1,X2)),multiply(X3,multiply(X1,X3)))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.7','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('0.355.0.9',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = multiply(add(multiply(X1,X2),multiply(X1,X3)),multiply(X1,add(X2,X3))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.8','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.355.0.10',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(multiply(multiply(X1,X2),multiply(X1,add(X2,X3))),multiply(multiply(X1,X3),multiply(X1,add(X2,X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.9','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.355.0.11',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(multiply(multiply(X1,X2),add(multiply(X1,X2),multiply(X1,X3))),multiply(multiply(X1,X3),multiply(X1,add(X2,X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.10','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.2','L')]).
% 1.46/1.89 cnf('0.355.0.12',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(add(multiply(multiply(X1,X2),multiply(X1,X2)),multiply(multiply(X1,X2),multiply(X1,X3))),multiply(multiply(X1,X3),multiply(X1,add(X2,X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.11','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.355.0.13',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(multiply(multiply(X1,X2),multiply(X1,X2)),add(multiply(multiply(X1,X2),multiply(X1,X3)),multiply(multiply(X1,X3),multiply(X1,add(X2,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.12','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.355.0.14',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(multiply(X1,X2),multiply(X1,X3)),multiply(multiply(X1,X3),multiply(X1,add(X2,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.13','0.63.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.355.0.15',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(multiply(X1,X2),multiply(X1,X3)),multiply(multiply(X1,X3),add(multiply(X1,X2),multiply(X1,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.14','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2','L')]).
% 1.46/1.89 cnf('0.355.0.16',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(multiply(X1,X2),multiply(X1,X3)),add(multiply(multiply(X1,X3),multiply(X1,X2)),multiply(multiply(X1,X3),multiply(X1,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.15','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('0.355.0.17',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) = add(multiply(X1,multiply(X2,multiply(X1,X2))),add(multiply(multiply(X1,X2),multiply(X1,X3)),add(multiply(multiply(X1,X3),multiply(X1,X2)),multiply(X1,multiply(X3,multiply(X1,X3)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.0.16','0.63.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2','L')]).
% 1.46/1.89 cnf('0.355.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3))))) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(multiply(multiply(X1,X3),multiply(X1,X2)),multiply(X1,multiply(X3,multiply(X1,X3))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.355.0.17']),
% 1.46/1.89 [weight('<23,63,7,[1,0,0,1]>')]).
% 1.46/1.89 cnf('0.355.1.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3))))) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(multiply(X1,multiply(X3,multiply(X1,X3))),multiply(multiply(X1,X3),multiply(X1,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.355.1.0','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('0.355.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),add(multiply(X1,multiply(X3,multiply(X1,X3))),multiply(multiply(X1,X3),multiply(X1,X2)))) = add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.355.1.1',theory(equality)]),
% 1.46/1.89 [x,rule_344]).
% 1.46/1.89 cnf('0.356.0.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),multiply(multiply(X1,X3),multiply(X1,X2))) = add(additive_inverse(multiply(X1,multiply(X3,multiply(X1,X3)))),add(multiply(X1,multiply(X2,multiply(X1,X3))),add(multiply(X1,multiply(X3,multiply(X1,X2))),multiply(X1,multiply(X3,multiply(X1,X3)))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.30.2.0','0.355.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.356.0.1',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),multiply(multiply(X1,X3),multiply(X1,X2))) = add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.356.0.0','0.31.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.356.1.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),multiply(multiply(X1,X3),multiply(X1,X2))) = add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.356.0.1']),
% 1.46/1.89 [weight('<15,355,30,[0,0,0,3]>')]).
% 1.46/1.89 cnf('0.356.2.0',plain,
% 1.46/1.89 ( add(multiply(multiply(X1,X2),multiply(X1,X3)),multiply(multiply(X1,X3),multiply(X1,X2))) = add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.356.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_345]).
% 1.46/1.89 cnf('0.357.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,multiply(X3,multiply(X1,X2)))) = add(multiply(multiply(multiply(X1,X2),X1),X3),multiply(X1,multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.356.2.0','0.335.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('0.357.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,multiply(X1,X3))),multiply(X1,multiply(X3,multiply(X1,X2)))) = add(multiply(multiply(X1,multiply(X2,X1)),X3),multiply(X1,multiply(X3,multiply(X1,X2)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.357.0.0','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.1','L')]).
% 1.46/1.89 cnf('0.357.1.0',plain,
% 1.46/1.89 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(X1,multiply(X2,X1)),X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.357.0.1']),
% 1.46/1.89 [weight('<7,356,335,[1,0,0,0]>')]).
% 1.46/1.89 cnf('0.357.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.357.1.0',theory(equality)]),
% 1.46/1.89 [x,rule_346]).
% 1.46/1.89 cnf('0.366.0.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(X1,multiply(X2,X1)),X3)),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) = add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))) ),
% 1.46/1.89 inference(interreduction_right,[status(thm)],['0.84.2.0'])).
% 1.46/1.89 cnf('0.366.0.1',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) = add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.366.0.0','0.357.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1','L')]).
% 1.46/1.89 cnf('0.366.1.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) = add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.366.0.1']),
% 1.46/1.89 [weight('<17,84,357,[0,0,0,0]>')]).
% 1.46/1.89 cnf('0.366.2.0',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))),additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3))) = add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.366.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_355]).
% 1.46/1.89 cnf('0.367.0.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3)) = add(multiply(X1,multiply(X2,multiply(X1,X3))),add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.366.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.367.1.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3)) = add(multiply(X1,multiply(X2,multiply(X1,X3))),add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.367.0.0']),
% 1.46/1.89 [weight('<8,366,20,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.367.2.0',plain,
% 1.46/1.89 ( additive_inverse(multiply(multiply(X1,multiply(X1,X2)),X3)) = add(multiply(X1,multiply(X2,multiply(X1,X3))),add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3))))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.367.1.0',theory(equality)]),
% 1.46/1.89 [u,rule_356]).
% 1.46/1.89 cnf('0.368.0.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = additive_inverse(add(multiply(X1,multiply(X2,multiply(X1,X3))),add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.3.2.0','0.367.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('0.368.0.1',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(additive_inverse(add(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))),additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3))))),additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.368.0.0','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.368.0.2',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(add(additive_inverse(additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))),additive_inverse(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3))))),additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.368.0.1','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.368.0.3',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(additive_inverse(additive_inverse(multiply(multiply(X1,X2),multiply(X1,X3)))),add(additive_inverse(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))),additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.368.0.2','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.368.0.4',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(additive_inverse(additive_inverse(multiply(X1,multiply(multiply(X1,X2),X3)))),additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.368.0.3','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('0.368.0.5',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(multiply(X1,multiply(multiply(X1,X2),X3)),additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.368.0.4','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('0.368.1.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(multiply(multiply(X1,X2),multiply(X1,X3)),add(multiply(X1,multiply(multiply(X1,X2),X3)),additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.368.0.5']),
% 1.46/1.89 [weight('<7,367,3,[0,0,0,1]>')]).
% 1.46/1.89 cnf('0.368.1.1',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))),add(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(multiply(X1,X2),multiply(X1,X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.368.1.0','0.38.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.368.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,multiply(X1,X2)),X3) = add(additive_inverse(multiply(X1,multiply(X2,multiply(X1,X3)))),add(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(multiply(X1,X2),multiply(X1,X3)))) ),
% 1.46/1.89 inference(orient,[status(thm)],['0.368.1.1',theory(equality)]),
% 1.46/1.89 [u,rule_357]).
% 1.46/1.89 cnf('0.419.0.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),X3) = add(multiply(multiply(X2,X3),X1),add(additive_inverse(multiply(X2,multiply(X3,X1))),multiply(X1,multiply(X2,X3)))) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.20.2.0','0.156.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.419.1.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),X3) = add(multiply(multiply(X2,X3),X1),add(additive_inverse(multiply(X2,multiply(X3,X1))),multiply(X1,multiply(X2,X3)))) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.419.0.0']),
% 1.46/1.89 [weight('<23,156,20,[0,0,0,2]>')]).
% 1.46/1.89 cnf('0.419.1.1',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),X3) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),multiply(X1,multiply(X2,X3)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.419.1.0','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.419.2.0',plain,
% 1.46/1.89 ( multiply(multiply(X1,X2),X3) = add(additive_inverse(multiply(X2,multiply(X3,X1))),add(multiply(multiply(X2,X3),X1),multiply(X1,multiply(X2,X3)))) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.419.1.1']),
% 1.46/1.89 [equation_16]).
% 1.46/1.89 cnf('0.420.0.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),additive_inverse(additive_inverse(multiply(multiply(X3,X1),X2))))) = add(multiply(multiply(X1,X2),X3),additive_identity) ),
% 1.46/1.89 inference(cp,[status(thm)],['0.159.2.0','0.16.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('0.420.0.1',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),multiply(multiply(X3,X1),X2))) = add(multiply(multiply(X1,X2),X3),additive_identity) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.420.0.0','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('0.420.0.2',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),multiply(multiply(X3,X1),X2))) = multiply(multiply(X1,X2),X3) ),
% 1.46/1.89 inference(reduction,[status(thm)],['0.420.0.1','0.1.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('0.420.1.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),multiply(multiply(X3,X1),X2))) = multiply(multiply(X1,X2),X3) ),
% 1.46/1.89 inference(weigh,[status(thm)],['0.420.0.2']),
% 1.46/1.89 [weight('<23,159,16,[1,0,0,6]>')]).
% 1.46/1.89 cnf('0.420.2.0',plain,
% 1.46/1.89 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(X3,multiply(X1,X2))),multiply(multiply(X3,X1),X2))) = multiply(multiply(X1,X2),X3) ),
% 1.46/1.89 inference(activate,[status(thm)],['0.420.1.0']),
% 1.46/1.89 [equation_17]).
% 1.46/1.89 cnf('1.0.0.0',conjecture,
% 1.46/1.89 ( multiply(associator(x,y,z),x) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 file('/tmp/WALDMEISTER_24570_n018',conjecture_1)).
% 1.46/1.89 cnf('1.0.0.1',plain,
% 1.46/1.89 ( multiply(add(additive_inverse(multiply(x,multiply(y,z))),multiply(multiply(x,y),z)),x) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.0','0.18.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('1.0.0.2',plain,
% 1.46/1.89 ( add(multiply(additive_inverse(multiply(x,multiply(y,z))),x),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.1','0.10.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.3',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(multiply(x,multiply(y,z)),x)),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.2','0.11.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('1.0.0.4',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(multiply(y,z),x))),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.3','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.5',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),add(multiply(multiply(z,x),y),multiply(y,multiply(z,x)))))),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.4','0.419.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.6',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,add(multiply(y,multiply(z,x)),add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y))))),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.5','0.32.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.7',plain,
% 1.46/1.89 ( add(additive_inverse(add(multiply(x,multiply(y,multiply(z,x))),multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y))))),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.6','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.8',plain,
% 1.46/1.89 ( add(add(additive_inverse(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y)))),additive_inverse(multiply(x,multiply(y,multiply(z,x))))),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.7','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('1.0.0.9',plain,
% 1.46/1.89 ( add(add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),additive_inverse(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y))))),multiply(multiply(multiply(x,y),z),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.8','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1','L')]).
% 1.46/1.89 cnf('1.0.0.10',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(additive_inverse(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y)))),multiply(multiply(multiply(x,y),z),x))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.9','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.11',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(additive_inverse(add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),multiply(x,multiply(multiply(z,x),y)))),multiply(multiply(multiply(x,y),z),x))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.10','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.12',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y)))))),multiply(multiply(multiply(x,y),z),x))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.11','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.13',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(add(additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y))))),additive_inverse(multiply(x,multiply(multiply(z,x),y)))),multiply(multiply(multiply(x,y),z),x))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.12','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.14',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y))))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(multiply(x,y),z),x)))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.13','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.15',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(additive_inverse(additive_inverse(multiply(x,multiply(z,multiply(x,y))))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(multiply(x,y),z),x)))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.14','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.16',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(multiply(x,y),z),x)))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.15','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.17',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(multiply(x,y),multiply(z,x)),add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.16','0.420.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','R')]).
% 1.46/1.89 cnf('1.0.0.18',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.17','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.19',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y))))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.18','0.420.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.1.1.2','R')]).
% 1.46/1.89 cnf('1.0.0.20',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.19','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.1.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.21',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.20','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.22',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y)))))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.21','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.23',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y))))),additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.22','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.24',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y))))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.23','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.25',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y))))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.24','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.26',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(additive_inverse(multiply(x,multiply(z,multiply(x,y))))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.25','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.27',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.26','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.28',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(add(multiply(x,multiply(x,multiply(y,z))),multiply(x,multiply(multiply(z,x),y)))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.27','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.29',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),additive_inverse(multiply(x,multiply(x,multiply(y,z))))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.28','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.30',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),additive_inverse(multiply(x,multiply(multiply(z,x),y)))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.29','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.31',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.30','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.32',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(multiply(x,y),multiply(z,x)),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.31','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.33',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(multiply(x,y),z)),multiply(x,multiply(y,multiply(z,x))))),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.32','0.289.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.34',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z)))),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.33','0.32.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.35',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(y,multiply(z,x))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.34','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.36',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.35','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.37',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.36','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.38',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.37','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.39',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(y,multiply(z,x))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.38','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.40',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(y,multiply(z,x))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.39','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.41',plain,
% 1.46/1.89 ( add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(y,multiply(z,x)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.40','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.42',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.41','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.43',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.42','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.44',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.43','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.45',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.44','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.46',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.45','0.420.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.2.1.2','R')]).
% 1.46/1.89 cnf('1.0.0.47',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.46','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.2.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.48',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.47','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.49',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.48','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.50',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.49','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.51',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.50','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.52',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.51','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.53',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.52','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.54',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.53','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.55',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.54','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.56',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,multiply(x,multiply(y,z))),multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.55','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.57',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(x,multiply(y,z))),add(multiply(x,multiply(multiply(z,x),y)),multiply(multiply(x,multiply(x,y)),z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.56','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.58',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(x,multiply(y,z))),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.57','0.30.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.59',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(x,multiply(y,z))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.58','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.60',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(x,multiply(y,z))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.59','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.61',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z)))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.60','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.62',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.61','0.368.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.63',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.62','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.64',plain,
% 1.46/1.89 ( add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.63','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.65',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.64','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.66',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y)))),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.65','0.420.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.1.2','R')]).
% 1.46/1.89 cnf('1.0.0.67',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.66','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.68',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.67','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.69',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.68','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.70',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.69','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.71',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.70','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.72',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.71','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.73',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.72','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.74',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,multiply(x,multiply(y,z))),multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.73','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.75',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(x,multiply(y,z))),add(multiply(x,multiply(multiply(z,x),y)),multiply(multiply(x,y),multiply(x,z))))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.74','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.76',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(x,multiply(y,z))),multiply(multiply(x,y),multiply(x,z))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.75','0.30.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.77',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(x,multiply(y,z))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(multiply(x,y),multiply(x,z))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.76','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.78',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),multiply(multiply(x,y),multiply(x,z))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.77','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.79',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),add(multiply(multiply(y,multiply(x,z)),x),multiply(x,multiply(y,multiply(x,z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.78','0.419.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.80',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(y,multiply(x,z))),add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),multiply(multiply(y,multiply(x,z)),x)))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.79','0.32.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.81',plain,
% 1.46/1.89 ( add(multiply(x,multiply(y,multiply(x,z))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),multiply(multiply(y,multiply(x,z)),x)))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.80','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.82',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),multiply(multiply(y,multiply(x,z)),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.81','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.83',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),multiply(multiply(y,multiply(x,z)),x)) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.82','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.1.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.84',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.83','0.267.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.85',plain,
% 1.46/1.89 ( add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.84','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L.2','L')]).
% 1.46/1.89 cnf('1.0.0.86',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.85','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.87',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = associator(x,multiply(x,y),z) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.86','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('L','L')]).
% 1.46/1.89 cnf('1.0.0.88',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(multiply(x,y),z))),multiply(multiply(x,multiply(x,y)),z)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.87','0.18.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('1.0.0.89',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y))))),multiply(multiply(x,multiply(x,y)),z)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.88','0.420.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.1.2','R')]).
% 1.46/1.89 cnf('1.0.0.90',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))))),multiply(multiply(x,multiply(x,y)),z)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.89','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.91',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))))),multiply(multiply(x,multiply(x,y)),z)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.90','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.92',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y)))))),multiply(multiply(x,multiply(x,y)),z)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.91','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('1.0.0.93',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(add(additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y))))),additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))))),multiply(multiply(x,multiply(x,y)),z)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.92','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('1.0.0.94',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,additive_inverse(multiply(z,multiply(x,y))))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.93','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('1.0.0.95',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(additive_inverse(multiply(x,multiply(z,multiply(x,y))))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.94','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.96',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.95','0.3.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1','L')]).
% 1.46/1.89 cnf('1.0.0.97',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(add(multiply(x,multiply(x,multiply(y,z))),multiply(x,multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.96','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1.1','L')]).
% 1.46/1.89 cnf('1.0.0.98',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),additive_inverse(multiply(x,multiply(x,multiply(y,z))))),multiply(multiply(x,multiply(x,y)),z))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.97','0.25.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.99',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),additive_inverse(multiply(x,multiply(multiply(z,x),y)))),multiply(multiply(x,multiply(x,y)),z))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.98','0.14.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.100',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,multiply(x,y)),z)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.99','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.101',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.100','0.368.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.102',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.101','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.103',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.102','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.104',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(multiply(x,y),z)),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.103','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('1.0.0.105',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),add(additive_inverse(multiply(z,multiply(x,y))),multiply(multiply(z,x),y)))),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.104','0.420.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2.2.1.2','R')]).
% 1.46/1.89 cnf('1.0.0.106',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(additive_inverse(multiply(z,multiply(x,y))),add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.105','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2.2.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.107',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y)))),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.106','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.108',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.107','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.109',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.108','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.110',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(multiply(x,additive_inverse(multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.109','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.111',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(z,multiply(x,y))),add(additive_inverse(multiply(x,multiply(z,multiply(x,y)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.110','0.8.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.112',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,add(multiply(x,multiply(y,z)),multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.111','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.113',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(add(multiply(x,multiply(x,multiply(y,z))),multiply(x,multiply(multiply(z,x),y))),multiply(multiply(x,y),multiply(x,z)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.112','0.7.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2.1','L')]).
% 1.46/1.89 cnf('1.0.0.114',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(additive_inverse(multiply(x,multiply(multiply(z,x),y))),add(multiply(x,multiply(x,multiply(y,z))),add(multiply(x,multiply(multiply(z,x),y)),multiply(multiply(x,y),multiply(x,z))))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.113','0.15.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.115',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(x,multiply(y,z))),multiply(multiply(x,y),multiply(x,z))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.114','0.30.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2.2','L')]).
% 1.46/1.89 cnf('1.0.0.116',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(x,multiply(y,z))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(multiply(x,y),multiply(x,z))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.115','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.117',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),multiply(multiply(x,y),multiply(x,z))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.116','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.118',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),add(multiply(multiply(y,multiply(x,z)),x),multiply(x,multiply(y,multiply(x,z)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.117','0.419.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.119',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(multiply(x,multiply(y,multiply(x,z))),add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),multiply(multiply(y,multiply(x,z)),x)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.118','0.32.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.120',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(x,multiply(y,multiply(x,z))),add(additive_inverse(multiply(x,multiply(y,multiply(x,z)))),add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),multiply(multiply(y,multiply(x,z)),x)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.119','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('1.0.0.121',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(y,multiply(multiply(x,z),x))),multiply(multiply(y,multiply(x,z)),x)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.120','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('1.0.0.122',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),multiply(multiply(y,multiply(x,z)),x)) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.121','0.42.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.1.1.2','L')]).
% 1.46/1.89 cnf('1.0.0.123',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),add(multiply(y,multiply(x,multiply(z,x))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.122','0.267.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.124',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(z,x))),add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.123','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R.2','L')]).
% 1.46/1.89 cnf('1.0.0.125',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(y,multiply(x,multiply(z,x))),add(additive_inverse(multiply(y,multiply(x,multiply(z,x)))),add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.124','0.33.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('1.0.0.126',plain,
% 1.46/1.89 ( add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) ),
% 1.46/1.89 inference(reduction,[status(thm)],['1.0.0.125','0.20.2.0',theory(equality)]),
% 1.46/1.89 [pos('R','L')]).
% 1.46/1.89 cnf('1.0.0.127',plain,
% 1.46/1.89 ( $true ),
% 1.46/1.89 inference(trivial,[status(thm)],['1.0.0.126',theory(equality)]),
% 1.46/1.89 [conjecture_1]).
% 1.46/1.89
% 1.46/1.89 Proved Goals:
% 1.46/1.89 No. 1: multiply(associator(x,y,z),x) ?= associator(x,multiply(x,y),z) joined, current: add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z)))) = add(multiply(y,multiply(x,multiply(x,z))),additive_inverse(multiply(multiply(y,x),multiply(x,z))))
% 1.46/1.89 1 goal was specified, which was proved.
% 1.46/1.89 % SZS output end CNFRefutation
% 1.46/1.89 #END OF PROOF
% 1.46/1.89
% 1.46/1.89 Problem WALDMEISTER_24570_n018
% 1.46/1.89 CPs.gen 65786
% 1.46/1.89 CPs.reexp 0
% 1.46/1.89 Select 2636
% 1.46/1.89 R 403
% 1.46/1.89 E 17
% 1.46/1.89 vsize 6.7M
% 1.46/1.89 rss 4.1M
% 1.46/1.89 process.time 0.965s
% 1.46/1.89 wallclock.time 0.965s
% 1.46/1.89 status S
% 1.46/1.89
% 1.46/1.89
% 1.46/1.89 Waldmeister states: Goal proved.
% 1.46/1.89 % SZS status Unsatisfiable
%------------------------------------------------------------------------------