TSTP Solution File: GRP489-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n006.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 : Sat Jul 16 12:26:28 EDT 2022
% Result : Unsatisfiable 0.68s 1.05s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 10:29:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.68/1.04 ********************************************************************************
% 0.68/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.68/1.04 * |/ | \/ | *
% 0.68/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.68/1.04 * A. Jaeger and B. Loechner | | *
% 0.68/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.68/1.04 ********************************************************************************
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 Goals:
% 0.68/1.04 ------
% 0.68/1.04
% 0.68/1.04 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.68/1.04
% 0.68/1.04 Detected structure: Orkus
% 0.68/1.04 ********************************************************************************
% 0.68/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.68/1.04 ********************************************************************************
% 0.68/1.04
% 0.68/1.05 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.68/1.05 goal joined
% 0.68/1.05 % SZS status Unsatisfiable
% 0.68/1.05 #START OF PROOF
% 0.68/1.05 % SZS output start CNFRefutation
% 0.68/1.05 cnf('0.1.0.0',axiom,
% 0.68/1.05 ( X1 = double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X1))),X3),identity)) ),
% 0.68/1.05 file('/tmp/WALDMEISTER_31571_n006')).
% 0.68/1.05 cnf('0.1.1.0',plain,
% 0.68/1.05 ( X1 = double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X1))),X3),identity)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.68/1.05 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.1.2.0',plain,
% 0.68/1.05 ( double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2),identity)) = X3 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_1]).
% 0.68/1.05 cnf('0.2.0.0',axiom,
% 0.68/1.05 ( double_divide(X1,identity) = inverse(X1) ),
% 0.68/1.05 file('/tmp/WALDMEISTER_31571_n006')).
% 0.68/1.05 cnf('0.2.1.0',plain,
% 0.68/1.05 ( double_divide(X1,identity) = inverse(X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.68/1.05 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.68/1.05 cnf('0.2.2.0',plain,
% 0.68/1.05 ( double_divide(X1,identity) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_2]).
% 0.68/1.05 cnf('0.3.0.0',axiom,
% 0.68/1.05 ( double_divide(X1,inverse(X1)) = identity ),
% 0.68/1.05 file('/tmp/WALDMEISTER_31571_n006')).
% 0.68/1.05 cnf('0.3.1.0',plain,
% 0.68/1.05 ( double_divide(X1,inverse(X1)) = identity ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.68/1.05 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.68/1.05 cnf('0.3.2.0',plain,
% 0.68/1.05 ( double_divide(X1,inverse(X1)) = identity ),
% 0.68/1.05 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_3]).
% 0.68/1.05 cnf('0.4.0.0',axiom,
% 0.68/1.05 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.68/1.05 file('/tmp/WALDMEISTER_31571_n006')).
% 0.68/1.05 cnf('0.4.1.0',plain,
% 0.68/1.05 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.68/1.05 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.68/1.05 cnf('0.4.1.1',plain,
% 0.68/1.05 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.4.2.0',plain,
% 0.68/1.05 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.68/1.05 [u,rule_4]).
% 0.68/1.05 cnf('0.5.0.0',plain,
% 0.68/1.05 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.5.1.0',plain,
% 0.68/1.05 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.68/1.05 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.5.2.0',plain,
% 0.68/1.05 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_5]).
% 0.68/1.05 cnf('0.6.0.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.6.1.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.68/1.05 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.6.2.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_6]).
% 0.68/1.05 cnf('0.7.0.0',plain,
% 0.68/1.05 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.7.1.0',plain,
% 0.68/1.05 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.68/1.05 [weight('<44,5,5,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.7.2.0',plain,
% 0.68/1.05 ( inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_7]).
% 0.68/1.05 cnf('0.9.0.0',plain,
% 0.68/1.05 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.9.1.0',plain,
% 0.68/1.05 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.68/1.05 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.9.2.0',plain,
% 0.68/1.05 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_9]).
% 0.68/1.05 cnf('0.19.0.0',plain,
% 0.68/1.05 ( double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2),identity)) = X3 ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.68/1.05 cnf('0.19.0.1',plain,
% 0.68/1.05 ( double_divide(X1,inverse(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2))) = X3 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.19.0.2',plain,
% 0.68/1.05 ( double_divide(X1,inverse(double_divide(double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))),X2))) = X3 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.19.0.1','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.1.1.2.1','L')]).
% 0.68/1.05 cnf('0.19.1.0',plain,
% 0.68/1.05 ( double_divide(X1,inverse(double_divide(double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))),X2))) = X3 ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.19.0.2']),
% 0.68/1.05 [weight('<209,1,2,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.19.1.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))))) = X3 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.19.1.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.19.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))))) = X3 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.68/1.05 [u,rule_19]).
% 0.68/1.05 cnf('0.20.0.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,double_divide(inverse(X2),identity)))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2.2.2','L')]).
% 0.68/1.05 cnf('0.20.0.1',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,inverse(inverse(X2))))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2.2.2','L')]).
% 0.68/1.05 cnf('0.20.0.2',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,multiply(identity,X2)))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.20.0.1','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2.2.2','L')]).
% 0.68/1.05 cnf('0.20.1.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,multiply(identity,X2)))) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.20.0.2']),
% 0.68/1.05 [weight('<119,19,3,[1,0,0,9]>')]).
% 0.68/1.05 cnf('0.20.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(identity,multiply(identity,X1)))) = inverse(X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_20]).
% 0.68/1.05 cnf('0.21.0.0',plain,
% 0.68/1.05 ( inverse(inverse(double_divide(identity,multiply(identity,X1)))) = double_divide(X1,inverse(identity)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.20.2.0','0.6.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.21.0.1',plain,
% 0.68/1.05 ( multiply(identity,double_divide(identity,multiply(identity,X1))) = double_divide(X1,inverse(identity)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.21.0.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.21.0.2',plain,
% 0.68/1.05 ( inverse(multiply(multiply(identity,X1),identity)) = double_divide(X1,inverse(identity)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.21.0.1','0.9.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.21.1.0',plain,
% 0.68/1.05 ( inverse(multiply(multiply(identity,X1),identity)) = double_divide(X1,inverse(identity)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.21.0.2']),
% 0.68/1.05 [weight('<76,20,6,[1,0,0,2]>')]).
% 0.68/1.05 cnf('0.21.2.0',plain,
% 0.68/1.05 ( inverse(multiply(multiply(identity,X1),identity)) = double_divide(X1,inverse(identity)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_21]).
% 0.68/1.05 cnf('0.23.0.0',plain,
% 0.68/1.05 ( inverse(identity) = double_divide(X1,inverse(multiply(multiply(identity,X1),identity))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.20.2.0','0.9.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.23.1.0',plain,
% 0.68/1.05 ( inverse(identity) = double_divide(X1,inverse(multiply(multiply(identity,X1),identity))) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.68/1.05 [weight('<98,20,9,[1,0,0,2]>')]).
% 0.68/1.05 cnf('0.23.1.1',plain,
% 0.68/1.05 ( inverse(identity) = double_divide(X1,double_divide(X1,inverse(identity))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.23.1.0','0.21.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2','L')]).
% 0.68/1.05 cnf('0.23.2.0',plain,
% 0.68/1.05 ( double_divide(X1,double_divide(X1,inverse(identity))) = inverse(identity) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.23.1.1',theory(equality)]),
% 0.68/1.05 [x,rule_23]).
% 0.68/1.05 cnf('0.24.0.0',plain,
% 0.68/1.05 ( inverse(identity) = double_divide(X1,multiply(inverse(X1),double_divide(identity,inverse(identity)))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.19.2.0','0.23.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2.2','L')]).
% 0.68/1.05 cnf('0.24.0.1',plain,
% 0.68/1.05 ( inverse(identity) = double_divide(X1,multiply(inverse(X1),identity)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.24.0.0','0.3.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2.2','L')]).
% 0.68/1.05 cnf('0.24.1.0',plain,
% 0.68/1.05 ( inverse(identity) = double_divide(X1,multiply(inverse(X1),identity)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.68/1.05 [weight('<62,23,19,[0,0,0,6]>')]).
% 0.68/1.05 cnf('0.24.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(inverse(X1),identity)) = inverse(identity) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_24]).
% 0.68/1.05 cnf('0.25.0.0',plain,
% 0.68/1.05 ( inverse(identity) = double_divide(identity,inverse(identity)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.24.2.0','0.6.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.25.0.1',plain,
% 0.68/1.05 ( inverse(identity) = identity ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.25.0.0','0.3.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.25.1.0',plain,
% 0.68/1.05 ( inverse(identity) = identity ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.68/1.05 [weight('<11,24,6,[1,0,0,2]>')]).
% 0.68/1.05 cnf('0.25.2.0',plain,
% 0.68/1.05 ( inverse(identity) = identity ),
% 0.68/1.05 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_25]).
% 0.68/1.05 cnf('0.26.0.0',plain,
% 0.68/1.05 ( multiply(identity,identity) = inverse(identity) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.5.2.0','0.25.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.26.0.1',plain,
% 0.68/1.05 ( multiply(identity,identity) = identity ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.26.0.0','0.25.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.26.1.0',plain,
% 0.68/1.05 ( multiply(identity,identity) = identity ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.68/1.05 [weight('<19,25,5,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.26.2.0',plain,
% 0.68/1.05 ( multiply(identity,identity) = identity ),
% 0.68/1.05 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_26]).
% 0.68/1.05 cnf('0.28.0.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,multiply(X1,double_divide(identity,identity))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.20.2.0','0.26.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2.2','L')]).
% 0.68/1.05 cnf('0.28.0.1',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,multiply(X1,inverse(identity))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.28.0.0','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2.2','L')]).
% 0.68/1.05 cnf('0.28.0.2',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,multiply(X1,identity)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.28.0.1','0.25.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2.2','L')]).
% 0.68/1.05 cnf('0.28.1.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,multiply(X1,identity)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.28.0.2']),
% 0.68/1.05 [weight('<47,26,20,[0,0,0,6]>')]).
% 0.68/1.05 cnf('0.28.2.0',plain,
% 0.68/1.05 ( double_divide(identity,multiply(X1,identity)) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_28]).
% 0.68/1.05 cnf('0.29.0.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,identity),identity) = inverse(inverse(X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.28.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.29.0.1',plain,
% 0.68/1.05 ( multiply(multiply(X1,identity),identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.29.0.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.29.1.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,identity),identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.68/1.05 [weight('<53,28,4,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.29.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,identity),identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_29]).
% 0.68/1.05 cnf('0.31.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(inverse(X1),identity)) = inverse(identity) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 0.68/1.05 cnf('0.31.0.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(inverse(X1),identity)) = identity ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.31.0.0','0.25.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.31.1.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(inverse(X1),identity)) = identity ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.68/1.05 [weight('<55,24,25,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.31.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(inverse(X1),identity)) = identity ),
% 0.68/1.05 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_31]).
% 0.68/1.05 cnf('0.32.0.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),identity) = double_divide(X2,multiply(X1,double_divide(identity,double_divide(inverse(X2),identity)))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.19.2.0','0.31.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2.2.2','L')]).
% 0.68/1.05 cnf('0.32.0.1',plain,
% 0.68/1.05 ( multiply(inverse(X1),identity) = double_divide(X2,multiply(X1,double_divide(identity,inverse(inverse(X2))))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.32.0.0','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2.2.2','L')]).
% 0.68/1.05 cnf('0.32.0.2',plain,
% 0.68/1.05 ( multiply(inverse(X1),identity) = double_divide(X2,multiply(X1,double_divide(identity,multiply(identity,X2)))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.32.0.1','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2.2.2','L')]).
% 0.68/1.05 cnf('0.32.0.3',plain,
% 0.68/1.05 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.32.0.2','0.20.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.32.1.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.32.0.3']),
% 0.68/1.05 [weight('<34,31,19,[0,0,0,9]>')]).
% 0.68/1.05 cnf('0.32.2.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_32]).
% 0.68/1.05 cnf('0.33.0.0',plain,
% 0.68/1.05 ( multiply(identity,inverse(X1)) = multiply(inverse(X1),identity) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.29.2.0','0.32.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.33.0.1',plain,
% 0.68/1.05 ( multiply(identity,inverse(X1)) = inverse(X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.33.0.0','0.32.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.33.1.0',plain,
% 0.68/1.05 ( multiply(identity,inverse(X1)) = inverse(X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.68/1.05 [weight('<34,32,29,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.33.2.0',plain,
% 0.68/1.05 ( multiply(identity,inverse(X1)) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_33]).
% 0.68/1.05 cnf('0.34.0.0',plain,
% 0.68/1.05 ( inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.68/1.05 cnf('0.34.0.1',plain,
% 0.68/1.05 ( inverse(multiply(identity,X1)) = inverse(X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.34.0.0','0.33.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.34.1.0',plain,
% 0.68/1.05 ( inverse(multiply(identity,X1)) = inverse(X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.68/1.05 [weight('<34,7,33,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.34.2.0',plain,
% 0.68/1.05 ( inverse(multiply(identity,X1)) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_34]).
% 0.68/1.05 cnf('0.35.0.0',plain,
% 0.68/1.05 ( inverse(inverse(X1)) = double_divide(identity,inverse(X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.28.2.0','0.32.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.35.0.1',plain,
% 0.68/1.05 ( multiply(identity,X1) = double_divide(identity,inverse(X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.35.0.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.35.1.0',plain,
% 0.68/1.05 ( multiply(identity,X1) = double_divide(identity,inverse(X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.68/1.05 [weight('<39,32,28,[0,0,0,2]>')]).
% 0.68/1.05 cnf('0.35.2.0',plain,
% 0.68/1.05 ( double_divide(identity,inverse(X1)) = multiply(identity,X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_35]).
% 0.68/1.05 cnf('0.36.0.0',plain,
% 0.68/1.05 ( multiply(identity,inverse(X1)) = double_divide(identity,multiply(identity,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.35.2.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.36.0.1',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,multiply(identity,X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.36.0.0','0.33.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.36.1.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,multiply(identity,X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.68/1.05 [weight('<47,35,5,[1,0,0,2]>')]).
% 0.68/1.05 cnf('0.36.2.0',plain,
% 0.68/1.05 ( double_divide(identity,multiply(identity,X1)) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_36]).
% 0.68/1.05 cnf('0.37.0.0',plain,
% 0.68/1.05 ( inverse(double_divide(X1,X2)) = multiply(multiply(X2,X1),identity) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.32.2.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.37.0.1',plain,
% 0.68/1.05 ( multiply(X2,X1) = multiply(multiply(X2,X1),identity) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.37.0.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.37.1.0',plain,
% 0.68/1.05 ( multiply(X2,X1) = multiply(multiply(X2,X1),identity) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.68/1.05 [weight('<53,32,4,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.37.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,X2),identity) = multiply(X1,X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_37]).
% 0.68/1.05 cnf('0.38.0.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,identity),identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 0.68/1.05 cnf('0.38.0.1',plain,
% 0.68/1.05 ( multiply(X1,identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.38.0.0','0.37.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.38.1.0',plain,
% 0.68/1.05 ( multiply(X1,identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.68/1.05 [weight('<48,29,37,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.38.2.0',plain,
% 0.68/1.05 ( multiply(X1,identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(activate,[status(thm)],['0.38.1.0']),
% 0.68/1.05 [equation_1]).
% 0.68/1.05 cnf('0.39.0.0',plain,
% 0.68/1.05 ( inverse(X1) = inverse(multiply(X1,identity)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.34.2.0','0.38.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','R')]).
% 0.68/1.05 cnf('0.39.1.0',plain,
% 0.68/1.05 ( inverse(X1) = inverse(multiply(X1,identity)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.68/1.05 [weight('<34,38,34,[0,1,0,1]>')]).
% 0.68/1.05 cnf('0.39.2.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,identity)) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_38]).
% 0.68/1.05 cnf('0.40.0.0',plain,
% 0.68/1.05 ( inverse(double_divide(X1,X2)) = multiply(identity,multiply(X2,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.33.2.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.40.0.1',plain,
% 0.68/1.05 ( multiply(X2,X1) = multiply(identity,multiply(X2,X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.40.0.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.40.1.0',plain,
% 0.68/1.05 ( multiply(X2,X1) = multiply(identity,multiply(X2,X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.68/1.05 [weight('<53,33,4,[1,0,0,2]>')]).
% 0.68/1.05 cnf('0.40.2.0',plain,
% 0.68/1.05 ( multiply(identity,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_39]).
% 0.68/1.05 cnf('0.47.0.0',plain,
% 0.68/1.05 ( multiply(identity,double_divide(X1,X2)) = double_divide(identity,multiply(X2,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.35.2.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.47.0.1',plain,
% 0.68/1.05 ( inverse(multiply(X2,X1)) = double_divide(identity,multiply(X2,X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.47.0.0','0.9.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.47.1.0',plain,
% 0.68/1.05 ( inverse(multiply(X2,X1)) = double_divide(identity,multiply(X2,X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.68/1.05 [weight('<59,35,4,[1,0,0,2]>')]).
% 0.68/1.05 cnf('0.47.2.0',plain,
% 0.68/1.05 ( double_divide(identity,multiply(X1,X2)) = inverse(multiply(X1,X2)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_46]).
% 0.68/1.05 cnf('0.48.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(identity,multiply(identity,X1)))) = inverse(X2) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.68/1.05 cnf('0.48.0.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,inverse(X1))) = inverse(X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.48.0.0','0.36.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.48.1.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,inverse(X1))) = inverse(X2) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.68/1.05 [weight('<62,20,36,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.48.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,inverse(X1))) = inverse(X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_47]).
% 0.68/1.05 cnf('0.49.0.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = inverse(inverse(X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.48.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.49.0.1',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = multiply(identity,X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.49.0.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.49.1.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = multiply(identity,X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.68/1.05 [weight('<69,48,4,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.49.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = multiply(identity,X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_48]).
% 0.68/1.05 cnf('0.50.0.0',plain,
% 0.68/1.05 ( multiply(identity,multiply(X1,inverse(inverse(X2)))) = multiply(multiply(identity,X1),X2) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.49.2.0','0.49.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.50.0.1',plain,
% 0.68/1.05 ( multiply(X1,inverse(inverse(X2))) = multiply(multiply(identity,X1),X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.50.0.0','0.40.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.50.0.2',plain,
% 0.68/1.05 ( multiply(X1,multiply(identity,X2)) = multiply(multiply(identity,X1),X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.50.0.1','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.50.1.0',plain,
% 0.68/1.05 ( multiply(X1,multiply(identity,X2)) = multiply(multiply(identity,X1),X2) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.50.0.2']),
% 0.68/1.05 [weight('<65,49,49,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.50.2.0',plain,
% 0.68/1.05 ( multiply(multiply(identity,X1),X2) = multiply(X1,multiply(identity,X2)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_49]).
% 0.68/1.05 cnf('0.54.0.0',plain,
% 0.68/1.05 ( identity = double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),inverse(X2))))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.19.2.0','0.2.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2.2.2','L')]).
% 0.68/1.05 cnf('0.54.1.0',plain,
% 0.68/1.05 ( identity = double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),inverse(X2))))) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.68/1.05 [weight('<?,19,2,[1,0,0,9]>')]).
% 0.68/1.05 cnf('0.54.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),inverse(X2))))) = identity ),
% 0.68/1.05 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_53]).
% 0.68/1.05 cnf('0.58.0.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),multiply(identity,X2)) = multiply(inverse(X1),X2) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.50.2.0','0.33.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.58.1.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),multiply(identity,X2)) = multiply(inverse(X1),X2) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.68/1.05 [weight('<76,50,33,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.58.2.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),multiply(identity,X2)) = multiply(inverse(X1),X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_57]).
% 0.68/1.05 cnf('0.60.0.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,inverse(inverse(X2)))) = double_divide(X2,multiply(identity,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.48.2.0','0.49.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.60.0.1',plain,
% 0.68/1.05 ( inverse(multiply(X1,multiply(identity,X2))) = double_divide(X2,multiply(identity,X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.60.0.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1.2','L')]).
% 0.68/1.05 cnf('0.60.1.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,multiply(identity,X2))) = double_divide(X2,multiply(identity,X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.68/1.05 [weight('<83,49,48,[0,0,0,2]>')]).
% 0.68/1.05 cnf('0.60.2.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,multiply(identity,X2))) = double_divide(X2,multiply(identity,X1)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_59]).
% 0.68/1.05 cnf('0.61.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(identity,inverse(X2))) = inverse(multiply(inverse(X2),X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.60.2.0','0.58.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.61.0.1',plain,
% 0.68/1.05 ( double_divide(X1,inverse(X2)) = inverse(multiply(inverse(X2),X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.61.0.0','0.33.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.61.1.0',plain,
% 0.68/1.05 ( double_divide(X1,inverse(X2)) = inverse(multiply(inverse(X2),X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.68/1.05 [weight('<59,60,58,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.61.2.0',plain,
% 0.68/1.05 ( inverse(multiply(inverse(X1),X2)) = double_divide(X2,inverse(X1)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_60]).
% 0.68/1.05 cnf('0.62.0.0',plain,
% 0.68/1.05 ( multiply(identity,multiply(inverse(X1),X2)) = double_divide(identity,double_divide(X2,inverse(X1))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.35.2.0','0.61.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.62.0.1',plain,
% 0.68/1.05 ( multiply(inverse(X1),X2) = double_divide(identity,double_divide(X2,inverse(X1))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.62.0.0','0.40.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.62.1.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),X2) = double_divide(identity,double_divide(X2,inverse(X1))) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.68/1.05 [weight('<76,61,35,[0,0,0,2]>')]).
% 0.68/1.05 cnf('0.62.2.0',plain,
% 0.68/1.05 ( double_divide(identity,double_divide(X1,inverse(X2))) = multiply(inverse(X2),X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_61]).
% 0.68/1.05 cnf('0.70.0.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(inverse(X2),multiply(X1,multiply(identity,X2))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.48.2.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.70.1.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(inverse(X2),multiply(X1,multiply(identity,X2))) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.68/1.05 [weight('<98,48,5,[1,0,0,4]>')]).
% 0.68/1.05 cnf('0.70.2.0',plain,
% 0.68/1.05 ( double_divide(inverse(X1),multiply(X2,multiply(identity,X1))) = inverse(X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_69]).
% 0.68/1.05 cnf('0.71.0.0',plain,
% 0.68/1.05 ( inverse(inverse(X1)) = double_divide(inverse(X2),multiply(inverse(X1),X2)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.70.2.0','0.58.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.71.0.1',plain,
% 0.68/1.05 ( multiply(identity,X1) = double_divide(inverse(X2),multiply(inverse(X1),X2)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.71.0.0','0.5.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.71.1.0',plain,
% 0.68/1.05 ( multiply(identity,X1) = double_divide(inverse(X2),multiply(inverse(X1),X2)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.71.0.1']),
% 0.68/1.05 [weight('<87,70,58,[1,0,0,3]>')]).
% 0.68/1.05 cnf('0.71.2.0',plain,
% 0.68/1.05 ( double_divide(inverse(X1),multiply(inverse(X2),X1)) = multiply(identity,X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_70]).
% 0.68/1.05 cnf('0.72.0.0',plain,
% 0.68/1.05 ( multiply(multiply(inverse(X1),X2),inverse(X2)) = inverse(multiply(identity,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.71.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.72.0.1',plain,
% 0.68/1.05 ( multiply(multiply(inverse(X1),X2),inverse(X2)) = inverse(X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.72.0.0','0.34.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.72.1.0',plain,
% 0.68/1.05 ( multiply(multiply(inverse(X1),X2),inverse(X2)) = inverse(X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.68/1.05 [weight('<79,71,4,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.72.2.0',plain,
% 0.68/1.05 ( multiply(multiply(inverse(X1),X2),inverse(X2)) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_71]).
% 0.68/1.05 cnf('0.79.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(identity,multiply(identity,X2))) = inverse(multiply(X2,multiply(identity,multiply(identity,X1)))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.60.2.0','0.50.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.79.0.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(identity,X2)) = inverse(multiply(X2,multiply(identity,multiply(identity,X1)))) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.79.0.0','0.40.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.79.0.2',plain,
% 0.68/1.05 ( double_divide(X1,multiply(identity,X2)) = double_divide(multiply(identity,X1),multiply(identity,X2)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.79.0.1','0.60.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.79.1.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(identity,X2)) = double_divide(multiply(identity,X1),multiply(identity,X2)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.79.0.2']),
% 0.68/1.05 [weight('<103,60,50,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.79.2.0',plain,
% 0.68/1.05 ( double_divide(multiply(identity,X1),multiply(identity,X2)) = double_divide(X1,multiply(identity,X2)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_78]).
% 0.68/1.05 cnf('0.80.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(identity,double_divide(identity,double_divide(inverse(multiply(identity,X1)),double_divide(identity,X2))))) = X2 ),
% 0.68/1.05 inference(cp,[status(thm)],['0.79.2.0','0.19.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.80.0.1',plain,
% 0.68/1.05 ( double_divide(X1,inverse(multiply(double_divide(inverse(multiply(identity,X1)),double_divide(identity,X2)),identity))) = X2 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.80.0.0','0.9.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.80.0.2',plain,
% 0.68/1.05 ( double_divide(X1,inverse(double_divide(inverse(multiply(identity,X1)),double_divide(identity,X2)))) = X2 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.80.0.1','0.39.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.80.0.3',plain,
% 0.68/1.05 ( double_divide(X1,multiply(double_divide(identity,X2),inverse(multiply(identity,X1)))) = X2 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.80.0.2','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.80.0.4',plain,
% 0.68/1.05 ( double_divide(X1,multiply(double_divide(identity,X2),inverse(X1))) = X2 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.80.0.3','0.34.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.80.0.5',plain,
% 0.68/1.05 ( inverse(double_divide(identity,X2)) = X2 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.80.0.4','0.48.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.80.0.6',plain,
% 0.68/1.05 ( multiply(X2,identity) = X2 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.80.0.5','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.80.1.0',plain,
% 0.68/1.05 ( multiply(X2,identity) = X2 ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.80.0.6']),
% 0.68/1.05 [weight('<19,79,19,[1,0,0,0]>')]).
% 0.68/1.05 cnf('0.80.2.0',plain,
% 0.68/1.05 ( multiply(X1,identity) = X1 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_79]).
% 0.68/1.05 cnf('0.81.0.0',plain,
% 0.68/1.05 ( multiply(X1,identity) = multiply(identity,X1) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 0.68/1.05 cnf('0.81.0.1',plain,
% 0.68/1.05 ( X1 = multiply(identity,X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.81.0.0','0.80.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.81.1.0',plain,
% 0.68/1.05 ( X1 = multiply(identity,X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.81.0.1']),
% 0.68/1.05 [weight('<19,38,80,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.81.2.0',plain,
% 0.68/1.05 ( multiply(identity,X1) = X1 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_80]).
% 0.68/1.05 cnf('0.82.0.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,identity)) = double_divide(identity,X1) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.47.2.0','0.80.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.82.0.1',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.82.0.0','0.80.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.82.1.0',plain,
% 0.68/1.05 ( inverse(X1) = double_divide(identity,X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.82.0.1']),
% 0.68/1.05 [weight('<23,80,47,[0,0,0,2]>')]).
% 0.68/1.05 cnf('0.82.2.0',plain,
% 0.68/1.05 ( double_divide(identity,X1) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_81]).
% 0.68/1.05 cnf('0.83.0.0',plain,
% 0.68/1.05 ( multiply(X1,identity) = inverse(inverse(X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.82.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.83.0.1',plain,
% 0.68/1.05 ( X1 = inverse(inverse(X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.83.0.0','0.80.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.83.1.0',plain,
% 0.68/1.05 ( X1 = inverse(inverse(X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.83.0.1']),
% 0.68/1.05 [weight('<19,82,4,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.83.2.0',plain,
% 0.68/1.05 ( inverse(inverse(X1)) = X1 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_82]).
% 0.68/1.05 cnf('0.85.0.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,multiply(identity,X2))) = double_divide(X2,multiply(identity,X1)) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 0.68/1.05 cnf('0.85.0.1',plain,
% 0.68/1.05 ( inverse(multiply(X1,X2)) = double_divide(X2,multiply(identity,X1)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.85.0.0','0.81.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1.2','L')]).
% 0.68/1.05 cnf('0.85.0.2',plain,
% 0.68/1.05 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.85.0.1','0.81.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.2','L')]).
% 0.68/1.05 cnf('0.85.1.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.85.0.2']),
% 0.68/1.05 [weight('<39,60,81,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.85.2.0',plain,
% 0.68/1.05 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_84]).
% 0.68/1.05 cnf('0.86.0.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = multiply(identity,X1) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.49.2.0'])).
% 0.68/1.05 cnf('0.86.0.1',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.86.0.0','0.81.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.86.1.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.86.0.1']),
% 0.68/1.05 [weight('<55,49,81,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.86.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_85]).
% 0.68/1.05 cnf('0.87.0.0',plain,
% 0.68/1.05 ( inverse(inverse(X1)) = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.72.2.0','0.83.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1.1','L')]).
% 0.68/1.05 cnf('0.87.0.1',plain,
% 0.68/1.05 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.87.0.0','0.83.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.87.1.0',plain,
% 0.68/1.05 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.87.0.1']),
% 0.68/1.05 [weight('<55,83,72,[0,0,0,2]>')]).
% 0.68/1.05 cnf('0.87.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_86]).
% 0.68/1.05 cnf('0.88.0.0',plain,
% 0.68/1.05 ( double_divide(inverse(X1),multiply(X2,multiply(identity,X1))) = inverse(X2) ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.70.2.0'])).
% 0.68/1.05 cnf('0.88.0.1',plain,
% 0.68/1.05 ( double_divide(inverse(X1),multiply(X2,X1)) = inverse(X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.88.0.0','0.81.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.88.1.0',plain,
% 0.68/1.05 ( double_divide(inverse(X1),multiply(X2,X1)) = inverse(X2) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.88.0.1']),
% 0.68/1.05 [weight('<62,70,81,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.88.2.0',plain,
% 0.68/1.05 ( double_divide(inverse(X1),multiply(X2,X1)) = inverse(X2) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_87]).
% 0.68/1.05 cnf('0.90.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),inverse(X2))))) = identity ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.54.2.0'])).
% 0.68/1.05 cnf('0.90.0.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,multiply(inverse(X2),inverse(X1)))) = identity ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.90.0.0','0.62.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.90.1.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,multiply(inverse(X2),inverse(X1)))) = identity ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.90.0.1']),
% 0.68/1.05 [weight('<109,54,62,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.90.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,multiply(inverse(X2),inverse(X1)))) = identity ),
% 0.68/1.05 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_89]).
% 0.68/1.05 cnf('0.91.0.0',plain,
% 0.68/1.05 ( X1 = multiply(multiply(X1,multiply(X2,X3)),double_divide(X3,X2)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.86.2.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1.2','L')]).
% 0.68/1.05 cnf('0.91.1.0',plain,
% 0.68/1.05 ( X1 = multiply(multiply(X1,multiply(X2,X3)),double_divide(X3,X2)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.91.0.0']),
% 0.68/1.05 [weight('<109,86,4,[1,0,0,3]>')]).
% 0.68/1.05 cnf('0.91.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,multiply(X2,X3)),double_divide(X3,X2)) = X1 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_90]).
% 0.68/1.05 cnf('0.93.0.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = inverse(identity) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.90.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.93.0.1',plain,
% 0.68/1.05 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = identity ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.93.0.0','0.25.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.93.1.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = identity ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.93.0.1']),
% 0.68/1.05 [weight('<109,90,4,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.93.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = identity ),
% 0.68/1.05 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_92]).
% 0.68/1.05 cnf('0.94.0.0',plain,
% 0.68/1.05 ( multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = multiply(identity,X2) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.86.2.0','0.93.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.94.0.1',plain,
% 0.68/1.05 ( multiply(X1,multiply(inverse(X1),X2)) = multiply(identity,X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.94.0.0','0.83.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.94.0.2',plain,
% 0.68/1.05 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.94.0.1','0.81.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.94.1.0',plain,
% 0.68/1.05 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.94.0.2']),
% 0.68/1.05 [weight('<55,93,86,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.94.2.0',plain,
% 0.68/1.05 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_93]).
% 0.68/1.05 cnf('0.95.0.0',plain,
% 0.68/1.05 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.94.2.0','0.83.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.1','L')]).
% 0.68/1.05 cnf('0.95.1.0',plain,
% 0.68/1.05 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.95.0.0']),
% 0.68/1.05 [weight('<55,94,83,[1,0,0,3]>')]).
% 0.68/1.05 cnf('0.95.2.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_94]).
% 0.68/1.05 cnf('0.96.0.0',plain,
% 0.68/1.05 ( inverse(inverse(X1)) = double_divide(inverse(multiply(X1,X2)),X2) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.88.2.0','0.95.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.96.0.1',plain,
% 0.68/1.05 ( X1 = double_divide(inverse(multiply(X1,X2)),X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.96.0.0','0.83.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.96.0.2',plain,
% 0.68/1.05 ( X1 = double_divide(double_divide(X2,X1),X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.96.0.1','0.85.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.1','L')]).
% 0.68/1.05 cnf('0.96.1.0',plain,
% 0.68/1.05 ( X1 = double_divide(double_divide(X2,X1),X2) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.96.0.2']),
% 0.68/1.05 [weight('<41,95,88,[0,0,0,3]>')]).
% 0.68/1.05 cnf('0.96.2.0',plain,
% 0.68/1.05 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_95]).
% 0.68/1.05 cnf('0.98.0.0',plain,
% 0.68/1.05 ( multiply(X1,inverse(X2)) = double_divide(inverse(X1),X2) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.96.2.0','0.48.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.98.1.0',plain,
% 0.68/1.05 ( multiply(X1,inverse(X2)) = double_divide(inverse(X1),X2) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.98.0.0']),
% 0.68/1.05 [weight('<44,96,48,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.98.2.0',plain,
% 0.68/1.05 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_97]).
% 0.68/1.05 cnf('0.100.0.0',plain,
% 0.68/1.05 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.95.2.0','0.87.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2','L')]).
% 0.68/1.05 cnf('0.100.0.1',plain,
% 0.68/1.05 ( inverse(X1) = multiply(double_divide(X1,X2),X2) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.100.0.0','0.85.2.0',theory(equality)]),
% 0.68/1.05 [pos('R.1','L')]).
% 0.68/1.05 cnf('0.100.1.0',plain,
% 0.68/1.05 ( inverse(X1) = multiply(double_divide(X1,X2),X2) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.100.0.1']),
% 0.68/1.05 [weight('<47,95,87,[1,0,0,3]>')]).
% 0.68/1.05 cnf('0.100.2.0',plain,
% 0.68/1.05 ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_99]).
% 0.68/1.05 cnf('0.104.0.0',plain,
% 0.68/1.05 ( multiply(double_divide(X1,X2),inverse(X3)) = double_divide(multiply(X2,X1),X3) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.98.2.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.104.1.0',plain,
% 0.68/1.05 ( multiply(double_divide(X1,X2),inverse(X3)) = double_divide(multiply(X2,X1),X3) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.104.0.0']),
% 0.68/1.05 [weight('<83,98,4,[1,0,0,1]>')]).
% 0.68/1.05 cnf('0.104.2.0',plain,
% 0.68/1.05 ( multiply(double_divide(X1,X2),inverse(X3)) = double_divide(multiply(X2,X1),X3) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_103]).
% 0.68/1.05 cnf('0.105.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))))) = X3 ),
% 0.68/1.05 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.68/1.05 cnf('0.105.0.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,inverse(double_divide(inverse(X1),double_divide(X2,X3))))) = X3 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.105.0.0','0.82.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.105.0.2',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,multiply(double_divide(X2,X3),inverse(X1)))) = X3 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.105.0.1','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.105.1.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,multiply(double_divide(X2,X3),inverse(X1)))) = X3 ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.105.0.2']),
% 0.68/1.05 [weight('<?,19,82,[0,0,0,0]>')]).
% 0.68/1.05 cnf('0.105.1.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(multiply(X3,X2),X1))) = X3 ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.105.1.0','0.104.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.2','L')]).
% 0.68/1.05 cnf('0.105.2.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,double_divide(multiply(X3,X2),X1))) = X3 ),
% 0.68/1.05 inference(orient,[status(thm)],['0.105.1.1',theory(equality)]),
% 0.68/1.05 [u,rule_104]).
% 0.68/1.05 cnf('0.107.0.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,X3)) = multiply(inverse(X1),double_divide(X3,X2)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.91.2.0','0.100.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.107.1.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X2,X3)) = multiply(inverse(X1),double_divide(X3,X2)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.68/1.05 [weight('<83,100,91,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.107.2.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),double_divide(X2,X3)) = double_divide(X1,multiply(X3,X2)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_106]).
% 0.68/1.05 cnf('0.109.0.0',plain,
% 0.68/1.05 ( multiply(X1,double_divide(multiply(X2,X1),X3)) = double_divide(X2,X3) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.96.2.0','0.105.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.109.1.0',plain,
% 0.68/1.05 ( multiply(X1,double_divide(multiply(X2,X1),X3)) = double_divide(X2,X3) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.109.0.0']),
% 0.68/1.05 [weight('<87,105,96,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.109.2.0',plain,
% 0.68/1.05 ( multiply(X1,double_divide(multiply(X2,X1),X3)) = double_divide(X2,X3) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_108]).
% 0.68/1.05 cnf('0.110.0.0',plain,
% 0.68/1.05 ( double_divide(multiply(X1,inverse(X2)),X3) = multiply(X2,double_divide(X1,X3)) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.109.2.0','0.86.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.2.1','L')]).
% 0.68/1.05 cnf('0.110.1.0',plain,
% 0.68/1.05 ( double_divide(multiply(X1,inverse(X2)),X3) = multiply(X2,double_divide(X1,X3)) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.110.0.0']),
% 0.68/1.05 [weight('<83,109,86,[1,0,0,3]>')]).
% 0.68/1.05 cnf('0.110.2.0',plain,
% 0.68/1.05 ( double_divide(multiply(X1,inverse(X2)),X3) = multiply(X2,double_divide(X1,X3)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.68/1.05 [u,rule_109]).
% 0.68/1.05 cnf('0.111.0.0',plain,
% 0.68/1.05 ( multiply(inverse(X1),double_divide(X2,X3)) = double_divide(multiply(X2,X1),X3) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.110.2.0','0.83.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1.2','L')]).
% 0.68/1.05 cnf('0.111.0.1',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X3,X2)) = double_divide(multiply(X2,X1),X3) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.111.0.0','0.107.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('0.111.1.0',plain,
% 0.68/1.05 ( double_divide(X1,multiply(X3,X2)) = double_divide(multiply(X2,X1),X3) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.111.0.1']),
% 0.68/1.05 [weight('<65,110,83,[1,0,0,3]>')]).
% 0.68/1.05 cnf('0.111.2.0',plain,
% 0.68/1.05 ( double_divide(multiply(X1,X2),X3) = double_divide(X2,multiply(X3,X1)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_110]).
% 0.68/1.05 cnf('0.112.0.0',plain,
% 0.68/1.05 ( multiply(X1,multiply(X2,X3)) = inverse(double_divide(X3,multiply(X1,X2))) ),
% 0.68/1.05 inference(cp,[status(thm)],['0.4.2.0','0.111.2.0',theory(equality)]),
% 0.68/1.05 [pos('L.1','L')]).
% 0.68/1.05 cnf('0.112.0.1',plain,
% 0.68/1.05 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.68/1.05 inference(reduction,[status(thm)],['0.112.0.0','0.4.2.0',theory(equality)]),
% 0.68/1.05 [pos('R','L')]).
% 0.68/1.05 cnf('0.112.1.0',plain,
% 0.68/1.05 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.68/1.05 inference(weigh,[status(thm)],['0.112.0.1']),
% 0.68/1.05 [weight('<65,111,4,[0,0,0,1]>')]).
% 0.68/1.05 cnf('0.112.2.0',plain,
% 0.68/1.05 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.68/1.05 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.68/1.05 [x,rule_111]).
% 0.68/1.05 cnf('1.0.0.0',conjecture,
% 0.68/1.05 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.68/1.05 file('/tmp/WALDMEISTER_31571_n006',conjecture_1)).
% 0.68/1.05 cnf('1.0.0.1',plain,
% 0.68/1.05 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.68/1.05 inference(reduction,[status(thm)],['1.0.0.0','0.112.2.0',theory(equality)]),
% 0.68/1.05 [pos('L','L')]).
% 0.68/1.05 cnf('1.0.0.2',plain,
% 0.68/1.05 ( $true ),
% 0.68/1.05 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.68/1.05 [conjecture_1]).
% 0.68/1.05
% 0.68/1.05 Proved Goals:
% 0.68/1.05 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.68/1.05 1 goal was specified, which was proved.
% 0.68/1.05 % SZS output end CNFRefutation
% 0.68/1.05 #END OF PROOF
% 0.68/1.05
% 0.68/1.05 Problem WALDMEISTER_31571_n006
% 0.68/1.05 CPs.gen 2007
% 0.68/1.05 CPs.reexp 0
% 0.68/1.05 Select 285
% 0.68/1.05 R 111
% 0.68/1.05 E 1
% 0.68/1.05 vsize 6.5M
% 0.68/1.05 rss 3.8M
% 0.68/1.05 process.time 0.012s
% 0.68/1.05 wallclock.time 0.012s
% 0.68/1.05 status S
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 Waldmeister states: Goal proved.
% 0.68/1.05 % SZS status Unsatisfiable
%------------------------------------------------------------------------------