TSTP Solution File: RNG029-7 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG029-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 20:47:29 EDT 2022
% Result : Unsatisfiable 1.44s 1.82s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG029-7 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 15:44:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.98 ********************************************************************************
% 0.56/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.98 * |/ | \/ | *
% 0.56/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.98 * A. Jaeger and B. Loechner | | *
% 0.56/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.98 ********************************************************************************
% 0.56/0.98
% 0.56/0.98
% 0.56/0.98 Goals:
% 0.56/0.98 ------
% 0.56/0.98
% 0.56/0.98 ( 1) multiply(multiply(x,multiply(y,z)),x) ?=? multiply(multiply(x,y),multiply(z,x))
% 0.56/0.98
% 0.56/0.98 Detected structure: NichtassoziativerRing
% 0.56/0.98 ********************************************************************************
% 0.56/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.98 ********************************************************************************
% 0.56/0.98
% 1.44/1.82 joined goal: 1 multiply(multiply(x,multiply(y,z)),x) ?= multiply(multiply(x,y),multiply(z,x)) to add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x)))))
% 1.44/1.82 goal joined
% 1.44/1.82 % SZS status Unsatisfiable
% 1.44/1.82 #START OF PROOF
% 1.44/1.82 % SZS output start CNFRefutation
% 1.44/1.82 cnf('0.1.0.0',axiom,
% 1.44/1.82 ( X1 = add(X1,additive_identity) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.1.1.0',plain,
% 1.44/1.82 ( X1 = add(X1,additive_identity) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.44/1.82 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.1.2.0',plain,
% 1.44/1.82 ( add(X1,additive_identity) = X1 ),
% 1.44/1.82 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_1]).
% 1.44/1.82 cnf('0.2.0.0',axiom,
% 1.44/1.82 ( X1 = add(additive_identity,X1) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.2.1.0',plain,
% 1.44/1.82 ( X1 = add(additive_identity,X1) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.44/1.82 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.44/1.82 cnf('0.2.2.0',plain,
% 1.44/1.82 ( add(additive_identity,X1) = X1 ),
% 1.44/1.82 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_2]).
% 1.44/1.82 cnf('0.3.0.0',axiom,
% 1.44/1.82 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.3.1.0',plain,
% 1.44/1.82 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.44/1.82 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.44/1.82 cnf('0.3.2.0',plain,
% 1.44/1.82 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 1.44/1.82 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_3]).
% 1.44/1.82 cnf('0.5.0.0',axiom,
% 1.44/1.82 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.5.1.0',plain,
% 1.44/1.82 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.44/1.82 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.44/1.82 cnf('0.5.2.0',plain,
% 1.44/1.82 ( multiply(multiply(X1,X2),X2) = multiply(X1,multiply(X2,X2)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_5]).
% 1.44/1.82 cnf('0.6.0.0',axiom,
% 1.44/1.82 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.6.1.0',plain,
% 1.44/1.82 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.44/1.82 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.44/1.82 cnf('0.6.2.0',plain,
% 1.44/1.82 ( multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_6]).
% 1.44/1.82 cnf('0.7.0.0',axiom,
% 1.44/1.82 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.7.1.0',plain,
% 1.44/1.82 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.44/1.82 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.44/1.82 cnf('0.7.2.0',plain,
% 1.44/1.82 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_7]).
% 1.44/1.82 cnf('0.8.0.0',axiom,
% 1.44/1.82 ( multiply(X1,add(X2,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.8.1.0',plain,
% 1.44/1.82 ( multiply(X1,add(X2,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.44/1.82 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.44/1.82 cnf('0.8.1.1',plain,
% 1.44/1.82 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.8.1.0','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.8.2.0',plain,
% 1.44/1.82 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 1.44/1.82 [u,rule_8]).
% 1.44/1.82 cnf('0.10.0.0',axiom,
% 1.44/1.82 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.10.1.0',plain,
% 1.44/1.82 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.44/1.82 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.44/1.82 cnf('0.10.2.0',plain,
% 1.44/1.82 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_10]).
% 1.44/1.82 cnf('0.11.0.0',axiom,
% 1.44/1.82 ( multiply(add(X1,additive_inverse(X2)),X3) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.11.1.0',plain,
% 1.44/1.82 ( multiply(add(X1,additive_inverse(X2)),X3) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.44/1.82 [weight('<12,0,0,[0,0,0,13]>')]).
% 1.44/1.82 cnf('0.11.1.1',plain,
% 1.44/1.82 ( add(multiply(X1,X3),multiply(additive_inverse(X2),X3)) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.11.1.0','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.11.2.0',plain,
% 1.44/1.82 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 1.44/1.82 [u,rule_11]).
% 1.44/1.82 cnf('0.14.0.0',axiom,
% 1.44/1.82 ( add(X1,X2) = add(X2,X1) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.14.1.0',plain,
% 1.44/1.82 ( add(X1,X2) = add(X2,X1) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.44/1.82 [weight('<16,0,0,[0,0,0,17]>')]).
% 1.44/1.82 cnf('0.14.2.0',plain,
% 1.44/1.82 ( add(X1,X2) = add(X2,X1) ),
% 1.44/1.82 inference(activate,[status(thm)],['0.14.1.0']),
% 1.44/1.82 [equation_1]).
% 1.44/1.82 cnf('0.15.0.0',axiom,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.15.1.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.44/1.82 [weight('<17,0,0,[0,0,0,18]>')]).
% 1.44/1.82 cnf('0.15.2.0',plain,
% 1.44/1.82 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_14]).
% 1.44/1.82 cnf('0.16.0.0',axiom,
% 1.44/1.82 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023')).
% 1.44/1.82 cnf('0.16.1.0',plain,
% 1.44/1.82 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.44/1.82 [weight('<18,0,0,[0,0,0,19]>')]).
% 1.44/1.82 cnf('0.16.2.0',plain,
% 1.44/1.82 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 1.44/1.82 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_15]).
% 1.44/1.82 cnf('0.20.0.0',plain,
% 1.44/1.82 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.15.2.0','0.16.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.20.0.1',plain,
% 1.44/1.82 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.20.1.0',plain,
% 1.44/1.82 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.20.0.1']),
% 1.44/1.82 [weight('<6,16,15,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.20.2.0',plain,
% 1.44/1.82 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 1.44/1.82 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_19]).
% 1.44/1.82 cnf('0.21.0.0',plain,
% 1.44/1.82 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.1','L')]).
% 1.44/1.82 cnf('0.21.1.0',plain,
% 1.44/1.82 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.21.0.0']),
% 1.44/1.82 [weight('<6,20,3,[1,0,0,3]>')]).
% 1.44/1.82 cnf('0.21.2.0',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(X1,X2)) = X2 ),
% 1.44/1.82 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_20]).
% 1.44/1.82 cnf('0.22.0.0',plain,
% 1.44/1.82 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.20.2.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.22.1.0',plain,
% 1.44/1.82 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.44/1.82 [weight('<6,20,14,[1,0,0,2]>')]).
% 1.44/1.82 cnf('0.22.2.0',plain,
% 1.44/1.82 ( add(X1,add(X2,additive_inverse(X1))) = X2 ),
% 1.44/1.82 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_21]).
% 1.44/1.82 cnf('0.23.0.0',plain,
% 1.44/1.82 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.21.2.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.23.1.0',plain,
% 1.44/1.82 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.44/1.82 [weight('<6,21,14,[1,0,0,3]>')]).
% 1.44/1.82 cnf('0.23.2.0',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(X2,X1)) = X2 ),
% 1.44/1.82 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_22]).
% 1.44/1.82 cnf('0.24.0.0',plain,
% 1.44/1.82 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.23.2.0','0.21.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.24.1.0',plain,
% 1.44/1.82 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.24.0.0']),
% 1.44/1.82 [weight('<6,23,21,[1,0,0,3]>')]).
% 1.44/1.82 cnf('0.24.1.1',plain,
% 1.44/1.82 ( additive_inverse(X1) = add(X2,additive_inverse(add(X1,X2))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.24.1.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.24.2.0',plain,
% 1.44/1.82 ( add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 1.44/1.82 [x,rule_23]).
% 1.44/1.82 cnf('0.25.0.0',plain,
% 1.44/1.82 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.21.2.0','0.24.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.25.1.0',plain,
% 1.44/1.82 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.44/1.82 [weight('<4,24,21,[0,0,0,3]>')]).
% 1.44/1.82 cnf('0.25.2.0',plain,
% 1.44/1.82 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_24]).
% 1.44/1.82 cnf('0.30.0.0',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(add(X2,X1),X3)) = add(X2,X3) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.15.2.0','0.23.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.30.0.1',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.30.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.30.1.0',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.30.0.1']),
% 1.44/1.82 [weight('<8,23,15,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.30.2.0',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(X2,add(X1,X3))) = add(X2,X3) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_29]).
% 1.44/1.82 cnf('0.31.0.0',plain,
% 1.44/1.82 ( add(X1,X2) = add(additive_inverse(X3),add(X1,add(X2,X3))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.23.2.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.31.1.0',plain,
% 1.44/1.82 ( add(X1,X2) = add(additive_inverse(X3),add(X1,add(X2,X3))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.31.0.0']),
% 1.44/1.82 [weight('<8,23,15,[1,0,0,3]>')]).
% 1.44/1.82 cnf('0.31.2.0',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(X2,add(X3,X1))) = add(X2,X3) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_30]).
% 1.44/1.82 cnf('0.32.0.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.32.1.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.44/1.82 [weight('<10,15,14,[1,0,0,0]>')]).
% 1.44/1.82 cnf('0.32.2.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(X3,add(X1,X2)) ),
% 1.44/1.82 inference(activate,[status(thm)],['0.32.1.0']),
% 1.44/1.82 [equation_2]).
% 1.44/1.82 cnf('0.33.0.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(add(X2,X1),X3) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.33.0.1',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.33.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.33.1.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.33.0.1']),
% 1.44/1.82 [weight('<10,15,14,[1,0,0,1]>')]).
% 1.44/1.82 cnf('0.33.2.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 1.44/1.82 inference(activate,[status(thm)],['0.33.1.0']),
% 1.44/1.82 [equation_3]).
% 1.44/1.82 cnf('0.37.0.0',plain,
% 1.44/1.82 ( add(add(X1,X2),X3) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.31.2.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.37.0.1',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.37.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.37.1.0',plain,
% 1.44/1.82 ( add(X1,add(X2,X3)) = add(additive_inverse(X4),add(X1,add(X2,add(X3,X4)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.37.0.1']),
% 1.44/1.82 [weight('<10,31,15,[1,0,0,3]>')]).
% 1.44/1.82 cnf('0.37.2.0',plain,
% 1.44/1.82 ( add(additive_inverse(X1),add(X2,add(X3,add(X4,X1)))) = add(X2,add(X3,X4)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_34]).
% 1.44/1.82 cnf('0.39.0.0',plain,
% 1.44/1.82 ( multiply(add(X1,X2),multiply(add(X1,X2),X3)) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.39.1.0',plain,
% 1.44/1.82 ( multiply(add(X1,X2),multiply(add(X1,X2),X3)) = multiply(add(multiply(add(X1,X2),X1),multiply(add(X1,X2),X2)),X3) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.39.0.0']),
% 1.44/1.82 [weight('<13,7,6,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.39.1.1',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.0','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.39.1.2',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.1','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1.2','L')]).
% 1.44/1.82 cnf('0.39.1.3',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.2','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.39.1.4',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.3','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.39.1.5',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.4','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.2.2','L')]).
% 1.44/1.82 cnf('0.39.1.6',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.5','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.2','L')]).
% 1.44/1.82 cnf('0.39.1.7',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.6','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.39.1.8',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.7','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1.1','L')]).
% 1.44/1.82 cnf('0.39.1.9',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.8','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.39.1.10',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.9','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.39.1.11',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.10','0.6.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.39.1.12',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.11','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.1','L')]).
% 1.44/1.82 cnf('0.39.1.13',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.12','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('0.39.1.14',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.13','0.6.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.2','L')]).
% 1.44/1.82 cnf('0.39.1.15',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.14','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('0.39.1.16',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.39.1.15','0.33.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2','L')]).
% 1.44/1.82 cnf('0.39.2.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.39.1.16',theory(equality)]),
% 1.44/1.82 [x,rule_35]).
% 1.44/1.82 cnf('0.40.0.0',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.39.2.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.40.1.0',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.44/1.82 [weight('<17,39,0,[1,0,0,6]>')]).
% 1.44/1.82 cnf('0.40.2.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_36]).
% 1.44/1.82 cnf('0.41.0.0',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.30.2.0','0.40.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.2','L')]).
% 1.44/1.82 cnf('0.41.0.1',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.41.0.0','0.37.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.41.1.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X2,X3),X4),multiply(multiply(X3,X2),X4)) = add(multiply(X2,multiply(X3,X4)),multiply(X3,multiply(X2,X4))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.41.0.1']),
% 1.44/1.82 [weight('<11,40,30,[0,0,0,5]>')]).
% 1.44/1.82 cnf('0.41.2.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3)) = add(multiply(X1,multiply(X2,X3)),multiply(X2,multiply(X1,X3))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_37]).
% 1.44/1.82 cnf('0.42.0.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X2)),multiply(X2,multiply(X1,X2))) = add(multiply(X1,multiply(X2,X2)),multiply(multiply(X2,X1),X2)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.41.2.0','0.5.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.42.1.0',plain,
% 1.44/1.82 ( multiply(X2,multiply(X1,X2)) = multiply(multiply(X2,X1),X2) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.44/1.82 [weight('<5,41,5,[1,0,0,1]>')]).
% 1.44/1.82 cnf('0.42.2.0',plain,
% 1.44/1.82 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_38]).
% 1.44/1.82 cnf('0.48.0.0',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.15.2.0','0.41.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.48.0.1',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.48.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.48.1.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.48.0.1']),
% 1.44/1.82 [weight('<13,41,15,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.48.2.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_44]).
% 1.44/1.82 cnf('0.61.0.0',plain,
% 1.44/1.82 ( multiply(add(X1,X2),multiply(X3,add(X1,X2))) = multiply(add(multiply(X1,X3),multiply(X2,X3)),add(X1,X2)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.42.2.0','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.61.0.1',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.0','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.61.0.2',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.1','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1.2','L')]).
% 1.44/1.82 cnf('0.61.0.3',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.2','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.61.0.4',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.3','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.61.0.5',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.4','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.2.2','L')]).
% 1.44/1.82 cnf('0.61.0.6',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.5','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.2','L')]).
% 1.44/1.82 cnf('0.61.0.7',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.6','0.10.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.61.0.8',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.7','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.61.0.9',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.8','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.61.0.10',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.9','0.42.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.61.0.11',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.10','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('0.61.0.12',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.0.11','0.42.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.2','L')]).
% 1.44/1.82 cnf('0.61.1.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.61.0.12']),
% 1.44/1.82 [weight('<17,42,10,[1,0,0,1]>')]).
% 1.44/1.82 cnf('0.61.1.1',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.61.1.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2','L')]).
% 1.44/1.82 cnf('0.61.2.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.61.1.1',theory(equality)]),
% 1.44/1.82 [x,rule_57]).
% 1.44/1.82 cnf('0.62.0.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.30.2.0','0.61.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.62.0.1',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.62.0.0','0.31.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.62.1.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.62.0.1']),
% 1.44/1.82 [weight('<11,61,30,[0,0,0,3]>')]).
% 1.44/1.82 cnf('0.62.2.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),multiply(multiply(X3,X2),X1)) = add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_58]).
% 1.44/1.82 cnf('0.68.0.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X3,X2),X1),X4)) = add(add(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X2,X1))),X4) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.15.2.0','0.62.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.68.0.1',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X3,X2),X1),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),X4)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.68.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.68.1.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X3,X2),X1),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),X4)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.68.0.1']),
% 1.44/1.82 [weight('<13,62,15,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.68.2.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),add(multiply(multiply(X3,X2),X1),X4)) = add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),X4)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_64]).
% 1.44/1.82 cnf('0.150.0.0',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.48.2.0','0.16.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.150.0.1',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.150.0.0','0.1.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.150.1.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.150.0.1']),
% 1.44/1.82 [weight('<23,48,16,[1,0,0,6]>')]).
% 1.44/1.82 cnf('0.150.2.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X2,X1),X3)))) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.82 inference(activate,[status(thm)],['0.150.1.0']),
% 1.44/1.82 [equation_6]).
% 1.44/1.82 cnf('0.151.0.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.62.2.0','0.150.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','R')]).
% 1.44/1.82 cnf('0.151.0.1',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.151.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.151.0.2',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.151.0.1','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2','L')]).
% 1.44/1.82 cnf('0.151.1.0',plain,
% 1.44/1.82 ( multiply(X3,multiply(X2,X1)) = add(multiply(X2,multiply(X1,X3)),add(additive_inverse(multiply(multiply(X2,X1),X3)),multiply(multiply(X3,X2),X1))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.151.0.2']),
% 1.44/1.82 [weight('<18,150,62,[0,1,0,1]>')]).
% 1.44/1.82 cnf('0.151.2.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(additive_inverse(multiply(multiply(X1,X2),X3)),multiply(multiply(X3,X1),X2))) = multiply(X3,multiply(X1,X2)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_145]).
% 1.44/1.82 cnf('0.153.0.0',plain,
% 1.44/1.82 ( multiply(X1,multiply(X2,X3)) = add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.151.2.0','0.32.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.153.1.0',plain,
% 1.44/1.82 ( multiply(X1,multiply(X2,X3)) = add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(multiply(X2,X3),X1)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.153.0.0']),
% 1.44/1.82 [weight('<18,151,32,[1,0,0,0]>')]).
% 1.44/1.82 cnf('0.153.2.0',plain,
% 1.44/1.82 ( add(multiply(multiply(X1,X2),X3),add(multiply(X2,multiply(X3,X1)),additive_inverse(multiply(multiply(X2,X3),X1)))) = multiply(X1,multiply(X2,X3)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_147]).
% 1.44/1.82 cnf('0.154.0.0',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.151.2.0','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1.2','L')]).
% 1.44/1.82 cnf('0.154.0.1',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.154.0.0','0.11.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.154.0.2',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.154.0.1','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.154.0.3',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.154.0.2','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.1.1','L')]).
% 1.44/1.82 cnf('0.154.0.4',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.154.0.3','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.1','L')]).
% 1.44/1.82 cnf('0.154.0.5',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.154.0.4','0.11.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.1','L')]).
% 1.44/1.82 cnf('0.154.0.6',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.154.0.5','0.11.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('0.154.1.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.154.0.6']),
% 1.44/1.82 [weight('<19,151,8,[1,0,0,3]>')]).
% 1.44/1.82 cnf('0.154.2.0',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_148]).
% 1.44/1.82 cnf('0.155.0.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.20.2.0','0.154.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.155.1.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.155.0.0']),
% 1.44/1.82 [weight('<12,154,20,[0,0,0,2]>')]).
% 1.44/1.82 cnf('0.155.2.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_149]).
% 1.44/1.82 cnf('0.157.0.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.25.2.0','0.155.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.157.0.1',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.157.0.0','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.157.0.2',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.157.0.1','0.25.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.157.0.3',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.157.0.2','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.157.1.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.157.0.3']),
% 1.44/1.82 [weight('<12,155,25,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.157.2.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_151]).
% 1.44/1.82 cnf('0.161.0.0',plain,
% 1.44/1.82 ( 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) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.15.2.0','0.157.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.161.0.1',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.161.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.161.1.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.161.0.1']),
% 1.44/1.82 [weight('<14,157,15,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.161.2.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_155]).
% 1.44/1.82 cnf('0.207.0.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.161.2.0','0.5.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1.1','L')]).
% 1.44/1.82 cnf('0.207.1.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.207.0.0']),
% 1.44/1.82 [weight('<18,161,5,[1,0,0,2]>')]).
% 1.44/1.82 cnf('0.207.2.0',plain,
% 1.44/1.82 ( 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)) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_201]).
% 1.44/1.82 cnf('0.227.0.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.153.2.0','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.227.0.1',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.227.0.0','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.227.0.2',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.227.0.1','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.227.0.3',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.227.0.2','0.11.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.1.2','L')]).
% 1.44/1.82 cnf('0.227.0.4',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.227.0.3','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.1','L')]).
% 1.44/1.82 cnf('0.227.0.5',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.227.0.4','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.1.1','L')]).
% 1.44/1.82 cnf('0.227.0.6',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.227.0.5','0.11.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.1','L')]).
% 1.44/1.82 cnf('0.227.0.7',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.227.0.6','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('0.227.1.0',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.227.0.7']),
% 1.44/1.82 [weight('<19,153,8,[1,0,0,1]>')]).
% 1.44/1.82 cnf('0.227.2.0',plain,
% 1.44/1.82 ( 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))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_221]).
% 1.44/1.82 cnf('0.280.0.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.32.2.0','0.227.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.280.0.1',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.280.0.0','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.280.1.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.280.0.1']),
% 1.44/1.82 [weight('<21,227,32,[0,0,0,2]>')]).
% 1.44/1.82 cnf('0.280.2.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.280.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_274]).
% 1.44/1.82 cnf('0.281.0.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.20.2.0','0.280.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.281.1.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.281.0.0']),
% 1.44/1.82 [weight('<14,280,20,[0,0,0,2]>')]).
% 1.44/1.82 cnf('0.281.2.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.281.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_275]).
% 1.44/1.82 cnf('0.283.0.0',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.25.2.0','0.281.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.283.0.1',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.283.0.0','0.25.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.283.0.2',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.283.0.1','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.283.0.3',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.283.0.2','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.283.0.4',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.283.0.3','0.25.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.283.0.5',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.283.0.4','0.25.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.283.0.6',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.283.0.5','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.283.0.7',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.283.0.6','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.283.1.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.283.0.7']),
% 1.44/1.82 [weight('<15,281,25,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.283.2.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.283.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_277]).
% 1.44/1.82 cnf('0.284.0.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.283.2.0','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.1','L')]).
% 1.44/1.82 cnf('0.284.0.1',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.284.0.0','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.1','L')]).
% 1.44/1.82 cnf('0.284.1.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.284.0.1']),
% 1.44/1.82 [weight('<14,283,3,[1,0,0,7]>')]).
% 1.44/1.82 cnf('0.284.2.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.284.1.0',theory(equality)]),
% 1.44/1.82 [x,rule_278]).
% 1.44/1.82 cnf('0.287.0.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.284.2.0','0.207.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.287.0.1',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.287.0.0','0.6.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1.2','L')]).
% 1.44/1.82 cnf('0.287.0.2',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.287.0.1','0.6.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.2.1','L')]).
% 1.44/1.82 cnf('0.287.0.3',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.287.0.2','0.6.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.1.1','L')]).
% 1.44/1.82 cnf('0.287.0.4',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.287.0.3','0.284.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.287.1.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.287.0.4']),
% 1.44/1.82 [weight('<17,284,207,[1,0,0,0]>')]).
% 1.44/1.82 cnf('0.287.1.1',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.287.1.0','0.14.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.287.2.0',plain,
% 1.44/1.82 ( 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)))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.287.1.1',theory(equality)]),
% 1.44/1.82 [u,rule_281]).
% 1.44/1.82 cnf('0.288.0.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.20.2.0','0.287.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.288.1.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.288.0.0']),
% 1.44/1.82 [weight('<8,287,20,[0,0,0,2]>')]).
% 1.44/1.82 cnf('0.288.2.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.288.1.0',theory(equality)]),
% 1.44/1.82 [u,rule_282]).
% 1.44/1.82 cnf('0.289.0.0',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.3.2.0','0.288.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.1','L')]).
% 1.44/1.82 cnf('0.289.0.1',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.289.0.0','0.25.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.289.0.2',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.289.0.1','0.25.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.289.0.3',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.289.0.2','0.15.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.289.0.4',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.289.0.3','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.1','L')]).
% 1.44/1.82 cnf('0.289.0.5',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.289.0.4','0.3.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.1','L')]).
% 1.44/1.82 cnf('0.289.1.0',plain,
% 1.44/1.82 ( 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)))))) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.289.0.5']),
% 1.44/1.82 [weight('<7,288,3,[0,0,0,1]>')]).
% 1.44/1.82 cnf('0.289.1.1',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.289.1.0','0.32.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.289.2.0',plain,
% 1.44/1.82 ( 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))))) ),
% 1.44/1.82 inference(orient,[status(thm)],['0.289.1.1',theory(equality)]),
% 1.44/1.82 [u,rule_283]).
% 1.44/1.82 cnf('0.351.0.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X1,X2),X3)))) = multiply(multiply(X2,X1),X3) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.48.2.0','0.22.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('0.351.1.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X1,X2),X3)))) = multiply(multiply(X2,X1),X3) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.351.0.0']),
% 1.44/1.82 [weight('<23,48,22,[1,0,0,0]>')]).
% 1.44/1.82 cnf('0.351.2.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X2,multiply(X1,X3)),additive_inverse(multiply(multiply(X1,X2),X3)))) = multiply(multiply(X2,X1),X3) ),
% 1.44/1.82 inference(activate,[status(thm)],['0.351.1.0']),
% 1.44/1.82 [equation_11]).
% 1.44/1.82 cnf('0.389.0.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),additive_inverse(multiply(multiply(X3,X2),X1)))) = add(multiply(multiply(X1,X2),X3),additive_identity) ),
% 1.44/1.82 inference(cp,[status(thm)],['0.68.2.0','0.16.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('0.389.0.1',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),additive_inverse(multiply(multiply(X3,X2),X1)))) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.82 inference(reduction,[status(thm)],['0.389.0.0','0.1.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('0.389.1.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),additive_inverse(multiply(multiply(X3,X2),X1)))) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.82 inference(weigh,[status(thm)],['0.389.0.1']),
% 1.44/1.82 [weight('<23,68,16,[1,0,0,6]>')]).
% 1.44/1.82 cnf('0.389.2.0',plain,
% 1.44/1.82 ( add(multiply(X1,multiply(X2,X3)),add(multiply(X3,multiply(X2,X1)),additive_inverse(multiply(multiply(X3,X2),X1)))) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.82 inference(activate,[status(thm)],['0.389.1.0']),
% 1.44/1.82 [equation_12]).
% 1.44/1.82 cnf('1.0.0.0',conjecture,
% 1.44/1.82 ( multiply(multiply(x,multiply(y,z)),x) = multiply(multiply(x,y),multiply(z,x)) ),
% 1.44/1.82 file('/tmp/WALDMEISTER_13963_n023',conjecture_1)).
% 1.44/1.82 cnf('1.0.0.1',plain,
% 1.44/1.82 ( multiply(x,multiply(multiply(y,z),x)) = multiply(multiply(x,y),multiply(z,x)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.0','0.42.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('1.0.0.2',plain,
% 1.44/1.82 ( multiply(x,add(multiply(z,multiply(y,x)),add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(z,y),x))))) = multiply(multiply(x,y),multiply(z,x)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.1','0.351.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','R')]).
% 1.44/1.82 cnf('1.0.0.3',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),multiply(x,add(multiply(y,multiply(z,x)),additive_inverse(multiply(multiply(z,y),x))))) = multiply(multiply(x,y),multiply(z,x)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.2','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L','L')]).
% 1.44/1.82 cnf('1.0.0.4',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),multiply(x,additive_inverse(multiply(multiply(z,y),x))))) = multiply(multiply(x,y),multiply(z,x)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.3','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2','L')]).
% 1.44/1.82 cnf('1.0.0.5',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = multiply(multiply(x,y),multiply(z,x)) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.4','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('L.2.2','L')]).
% 1.44/1.82 cnf('1.0.0.6',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = 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))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.5','0.289.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('1.0.0.7',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = 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)))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.6','0.32.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('1.0.0.8',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,add(multiply(x,multiply(y,z)),add(multiply(z,multiply(y,x)),additive_inverse(multiply(multiply(z,y),x))))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.7','0.389.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.2','R')]).
% 1.44/1.82 cnf('1.0.0.9',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,add(multiply(z,multiply(y,x)),add(multiply(x,multiply(y,z)),additive_inverse(multiply(multiply(z,y),x))))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.8','0.33.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.2','L')]).
% 1.44/1.82 cnf('1.0.0.10',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(z,multiply(y,x))),multiply(x,add(multiply(x,multiply(y,z)),additive_inverse(multiply(multiply(z,y),x))))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.9','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('1.0.0.11',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(y,multiply(z,x))),add(multiply(x,multiply(z,multiply(y,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,add(multiply(x,multiply(y,z)),additive_inverse(multiply(multiply(z,y),x))))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.10','0.33.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2','L')]).
% 1.44/1.82 cnf('1.0.0.12',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,add(multiply(x,multiply(y,z)),additive_inverse(multiply(multiply(z,y),x))))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.11','0.33.2.0',theory(equality)]),
% 1.44/1.82 [pos('R','L')]).
% 1.44/1.82 cnf('1.0.0.13',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),add(multiply(x,multiply(x,multiply(y,z))),multiply(x,additive_inverse(multiply(multiply(z,y),x))))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.12','0.7.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2.2','L')]).
% 1.44/1.82 cnf('1.0.0.14',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),add(multiply(x,multiply(x,multiply(y,z))),add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,additive_inverse(multiply(multiply(z,y),x))))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.13','0.33.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('1.0.0.15',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),multiply(x,additive_inverse(multiply(multiply(z,y),x))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.14','0.20.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('1.0.0.16',plain,
% 1.44/1.82 ( add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) ),
% 1.44/1.82 inference(reduction,[status(thm)],['1.0.0.15','0.8.2.0',theory(equality)]),
% 1.44/1.82 [pos('R.2.2','L')]).
% 1.44/1.82 cnf('1.0.0.17',plain,
% 1.44/1.82 ( $true ),
% 1.44/1.82 inference(trivial,[status(thm)],['1.0.0.16',theory(equality)]),
% 1.44/1.82 [conjecture_1]).
% 1.44/1.82
% 1.44/1.82 Proved Goals:
% 1.44/1.82 No. 1: multiply(multiply(x,multiply(y,z)),x) ?= multiply(multiply(x,y),multiply(z,x)) joined, current: add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x))))) = add(multiply(x,multiply(z,multiply(y,x))),add(multiply(x,multiply(y,multiply(z,x))),additive_inverse(multiply(x,multiply(multiply(z,y),x)))))
% 1.44/1.82 1 goal was specified, which was proved.
% 1.44/1.82 % SZS output end CNFRefutation
% 1.44/1.82 #END OF PROOF
% 1.44/1.82
% 1.44/1.82 Problem WALDMEISTER_13963_n023
% 1.44/1.82 CPs.gen 59237
% 1.44/1.82 CPs.reexp 0
% 1.44/1.82 Select 2201
% 1.44/1.82 R 377
% 1.44/1.82 E 12
% 1.44/1.82 vsize 6.7M
% 1.44/1.82 rss 4.1M
% 1.44/1.82 process.time 0.844s
% 1.44/1.82 wallclock.time 0.844s
% 1.44/1.82 status S
% 1.44/1.82
% 1.44/1.82
% 1.44/1.82 Waldmeister states: Goal proved.
% 1.44/1.82 % SZS status Unsatisfiable
%------------------------------------------------------------------------------