TSTP Solution File: GRP205-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 12:25:23 EDT 2022
% Result : Unsatisfiable 0.54s 0.98s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.11 % Command : woody %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 14 03:40:42 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.51/0.90 ********************************************************************************
% 0.51/0.90 * W A L D M E I S T E R \| \ / \|/ *
% 0.51/0.90 * |/ | \/ | *
% 0.51/0.90 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.51/0.90 * A. Jaeger and B. Loechner | | *
% 0.51/0.90 * <waldmeister@informatik.uni-kl.de> | *
% 0.51/0.90 ********************************************************************************
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 Goals:
% 0.51/0.90 ------
% 0.51/0.90
% 0.51/0.90 ( 1) multiply(multiply(x,y),multiply(z,x)) ?=? multiply(x,multiply(multiply(y,z),x))
% 0.51/0.90
% 0.51/0.90 Detected structure: Loop
% 0.51/0.90 ********************************************************************************
% 0.51/0.90 ****************************** COMPLETION - PROOF ******************************
% 0.51/0.90 ********************************************************************************
% 0.51/0.90
% 0.54/0.98 joined goal: 1 multiply(multiply(x,y),multiply(z,x)) ?= multiply(x,multiply(multiply(y,z),x)) to multiply(x,multiply(multiply(y,z),x))
% 0.54/0.98 goal joined
% 0.54/0.98 % SZS status Unsatisfiable
% 0.54/0.98 #START OF PROOF
% 0.54/0.98 % SZS output start CNFRefutation
% 0.54/0.98 cnf('0.1.0.0',axiom,
% 0.54/0.98 ( X1 = multiply(X2,left_division(X2,X1)) ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.1.1.0',plain,
% 0.54/0.98 ( X1 = multiply(X2,left_division(X2,X1)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.54/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.54/0.98 cnf('0.1.2.0',plain,
% 0.54/0.98 ( multiply(X1,left_division(X1,X2)) = X2 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_1]).
% 0.54/0.98 cnf('0.2.0.0',axiom,
% 0.54/0.98 ( X1 = multiply(X1,identity) ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.2.1.0',plain,
% 0.54/0.98 ( X1 = multiply(X1,identity) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.54/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.54/0.98 cnf('0.2.2.0',plain,
% 0.54/0.98 ( multiply(X1,identity) = X1 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_2]).
% 0.54/0.98 cnf('0.3.0.0',axiom,
% 0.54/0.98 ( X1 = multiply(identity,X1) ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.3.1.0',plain,
% 0.54/0.98 ( X1 = multiply(identity,X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.54/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.54/0.98 cnf('0.3.2.0',plain,
% 0.54/0.98 ( multiply(identity,X1) = X1 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_3]).
% 0.54/0.98 cnf('0.4.0.0',axiom,
% 0.54/0.98 ( X1 = multiply(right_division(X1,X2),X2) ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.4.1.0',plain,
% 0.54/0.98 ( X1 = multiply(right_division(X1,X2),X2) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.54/0.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.54/0.98 cnf('0.4.2.0',plain,
% 0.54/0.98 ( multiply(right_division(X1,X2),X2) = X1 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_4]).
% 0.54/0.98 cnf('0.5.0.0',axiom,
% 0.54/0.98 ( X1 = right_division(multiply(X1,X2),X2) ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.5.1.0',plain,
% 0.54/0.98 ( X1 = right_division(multiply(X1,X2),X2) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.54/0.98 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.54/0.98 cnf('0.5.2.0',plain,
% 0.54/0.98 ( right_division(multiply(X1,X2),X2) = X1 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_5]).
% 0.54/0.98 cnf('0.6.0.0',axiom,
% 0.54/0.98 ( X1 = left_division(X2,multiply(X2,X1)) ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.6.1.0',plain,
% 0.54/0.98 ( X1 = left_division(X2,multiply(X2,X1)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.54/0.98 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.54/0.98 cnf('0.6.2.0',plain,
% 0.54/0.98 ( left_division(X1,multiply(X1,X2)) = X2 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_6]).
% 0.54/0.98 cnf('0.7.0.0',axiom,
% 0.54/0.98 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(multiply(X1,X2),X1),X3) ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.7.1.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(multiply(X1,X2),X1),X3) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.54/0.98 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.54/0.98 cnf('0.7.2.0',plain,
% 0.54/0.98 ( multiply(multiply(multiply(X1,X2),X1),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_7]).
% 0.54/0.98 cnf('0.8.0.0',axiom,
% 0.54/0.98 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.54/0.98 file('/tmp/WALDMEISTER_20821_n032')).
% 0.54/0.98 cnf('0.8.1.0',plain,
% 0.54/0.98 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.54/0.98 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.54/0.98 cnf('0.8.2.0',plain,
% 0.54/0.98 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.54/0.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_8]).
% 0.54/0.98 cnf('0.12.0.0',plain,
% 0.54/0.98 ( left_division(identity,X1) = X1 ),
% 0.54/0.98 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.54/0.98 [pos('L','L')]).
% 0.54/0.98 cnf('0.12.1.0',plain,
% 0.54/0.98 ( left_division(identity,X1) = X1 ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.54/0.98 [weight('<19,3,1,[1,0,0,0]>')]).
% 0.54/0.98 cnf('0.12.2.0',plain,
% 0.54/0.98 ( left_division(identity,X1) = X1 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_12]).
% 0.54/0.98 cnf('0.14.0.0',plain,
% 0.54/0.98 ( identity = right_division(X1,X1) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.14.1.0',plain,
% 0.54/0.98 ( identity = right_division(X1,X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.54/0.98 [weight('<19,5,3,[1,0,0,1]>')]).
% 0.54/0.98 cnf('0.14.2.0',plain,
% 0.54/0.98 ( right_division(X1,X1) = identity ),
% 0.54/0.98 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_14]).
% 0.54/0.98 cnf('0.20.0.0',plain,
% 0.54/0.98 ( X1 = right_division(X2,left_division(X1,X2)) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.20.1.0',plain,
% 0.54/0.98 ( X1 = right_division(X2,left_division(X1,X2)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.54/0.98 [weight('<41,5,1,[1,0,0,1]>')]).
% 0.54/0.98 cnf('0.20.2.0',plain,
% 0.54/0.98 ( right_division(X1,left_division(X2,X1)) = X2 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_20]).
% 0.54/0.98 cnf('0.21.0.0',plain,
% 0.54/0.98 ( X1 = left_division(right_division(X2,X1),X2) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.21.1.0',plain,
% 0.54/0.98 ( X1 = left_division(right_division(X2,X1),X2) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.54/0.98 [weight('<41,6,4,[1,0,0,2]>')]).
% 0.54/0.98 cnf('0.21.2.0',plain,
% 0.54/0.98 ( left_division(right_division(X1,X2),X1) = X2 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_21]).
% 0.54/0.98 cnf('0.22.0.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(right_inverse(X1),multiply(X1,X2))) = multiply(multiply(identity,X1),X2) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1.1','L')]).
% 0.54/0.98 cnf('0.22.0.1',plain,
% 0.54/0.98 ( multiply(X1,multiply(right_inverse(X1),multiply(X1,X2))) = multiply(X1,X2) ),
% 0.54/0.98 inference(reduction,[status(thm)],['0.22.0.0','0.3.2.0',theory(equality)]),
% 0.54/0.98 [pos('R.1','L')]).
% 0.54/0.98 cnf('0.22.1.0',plain,
% 0.54/0.98 ( multiply(right_inverse(X1),multiply(X1,X2)) = X2 ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.54/0.98 [weight('<55,8,7,[0,0,0,2]>')]).
% 0.54/0.98 cnf('0.22.2.0',plain,
% 0.54/0.98 ( multiply(right_inverse(X1),multiply(X1,X2)) = X2 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_22]).
% 0.54/0.98 cnf('0.23.0.0',plain,
% 0.54/0.98 ( multiply(X1,X2) = multiply(right_inverse(right_inverse(X1)),X2) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.22.2.0','0.22.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.23.1.0',plain,
% 0.54/0.98 ( X1 = right_inverse(right_inverse(X1)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.54/0.98 [weight('<19,22,22,[0,0,0,3]>')]).
% 0.54/0.98 cnf('0.23.2.0',plain,
% 0.54/0.98 ( right_inverse(right_inverse(X1)) = X1 ),
% 0.54/0.98 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_23]).
% 0.54/0.98 cnf('0.27.0.0',plain,
% 0.54/0.98 ( left_division(X1,X2) = multiply(right_inverse(X1),X2) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.22.2.0','0.1.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.27.1.0',plain,
% 0.54/0.98 ( left_division(X1,X2) = multiply(right_inverse(X1),X2) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.54/0.98 [weight('<39,22,1,[1,0,0,3]>')]).
% 0.54/0.98 cnf('0.27.2.0',plain,
% 0.54/0.98 ( multiply(right_inverse(X1),X2) = left_division(X1,X2) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_27]).
% 0.54/0.98 cnf('0.28.0.0',plain,
% 0.54/0.98 ( left_division(right_inverse(X1),X2) = multiply(X1,X2) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.27.2.0','0.23.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.28.1.0',plain,
% 0.54/0.98 ( left_division(right_inverse(X1),X2) = multiply(X1,X2) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.54/0.98 [weight('<39,27,23,[1,0,0,1]>')]).
% 0.54/0.98 cnf('0.28.2.0',plain,
% 0.54/0.98 ( left_division(right_inverse(X1),X2) = multiply(X1,X2) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_28]).
% 0.54/0.98 cnf('0.29.0.0',plain,
% 0.54/0.98 ( right_inverse(X1) = right_division(left_division(X1,X2),X2) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.5.2.0','0.27.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.29.1.0',plain,
% 0.54/0.98 ( right_inverse(X1) = right_division(left_division(X1,X2),X2) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.54/0.98 [weight('<47,27,5,[0,0,0,1]>')]).
% 0.54/0.98 cnf('0.29.2.0',plain,
% 0.54/0.98 ( right_division(left_division(X1,X2),X2) = right_inverse(X1) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_29]).
% 0.54/0.98 cnf('0.30.0.0',plain,
% 0.54/0.98 ( right_inverse(right_division(X1,X2)) = right_division(X2,X1) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.29.2.0','0.21.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.30.1.0',plain,
% 0.54/0.98 ( right_inverse(right_division(X1,X2)) = right_division(X2,X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.54/0.98 [weight('<39,29,21,[1,0,0,1]>')]).
% 0.54/0.98 cnf('0.30.2.0',plain,
% 0.54/0.98 ( right_inverse(right_division(X1,X2)) = right_division(X2,X1) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_30]).
% 0.54/0.98 cnf('0.31.0.0',plain,
% 0.54/0.98 ( right_inverse(X1) = right_division(X2,multiply(X1,X2)) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.20.2.0','0.28.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.31.1.0',plain,
% 0.54/0.98 ( right_inverse(X1) = right_division(X2,multiply(X1,X2)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.54/0.98 [weight('<47,28,20,[0,0,0,2]>')]).
% 0.54/0.98 cnf('0.31.2.0',plain,
% 0.54/0.98 ( right_division(X1,multiply(X2,X1)) = right_inverse(X2) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_31]).
% 0.54/0.98 cnf('0.32.0.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(X2,multiply(X1,identity))) = multiply(multiply(X1,X2),X1) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.54/0.98 [pos('L','L')]).
% 0.54/0.98 cnf('0.32.0.1',plain,
% 0.54/0.98 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,X2),X1) ),
% 0.54/0.98 inference(reduction,[status(thm)],['0.32.0.0','0.2.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2.2','L')]).
% 0.54/0.98 cnf('0.32.1.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,X2),X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.54/0.98 [weight('<65,7,2,[1,0,0,0]>')]).
% 0.54/0.98 cnf('0.32.2.0',plain,
% 0.54/0.98 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_32]).
% 0.54/0.98 cnf('0.33.0.0',plain,
% 0.54/0.98 ( left_division(right_division(X1,X2),X3) = multiply(right_division(X2,X1),X3) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.27.2.0','0.30.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.33.1.0',plain,
% 0.54/0.98 ( left_division(right_division(X1,X2),X3) = multiply(right_division(X2,X1),X3) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.54/0.98 [weight('<65,30,27,[0,0,0,1]>')]).
% 0.54/0.98 cnf('0.33.2.0',plain,
% 0.54/0.98 ( multiply(right_division(X1,X2),X3) = left_division(right_division(X2,X1),X3) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_33]).
% 0.54/0.98 cnf('0.34.0.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(left_division(X1,X2),X1)) = multiply(X2,X1) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.32.2.0','0.1.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.34.1.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(left_division(X1,X2),X1)) = multiply(X2,X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.54/0.98 [weight('<87,32,1,[1,0,0,1]>')]).
% 0.54/0.98 cnf('0.34.2.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(left_division(X1,X2),X1)) = multiply(X2,X1) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_34]).
% 0.54/0.98 cnf('0.35.0.0',plain,
% 0.54/0.98 ( multiply(left_division(X1,X2),X1) = left_division(X1,multiply(X2,X1)) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.6.2.0','0.34.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.35.1.0',plain,
% 0.54/0.98 ( multiply(left_division(X1,X2),X1) = left_division(X1,multiply(X2,X1)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.54/0.98 [weight('<65,34,6,[0,0,0,2]>')]).
% 0.54/0.98 cnf('0.35.2.0',plain,
% 0.54/0.98 ( multiply(left_division(X1,X2),X1) = left_division(X1,multiply(X2,X1)) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_35]).
% 0.54/0.98 cnf('0.36.0.0',plain,
% 0.54/0.98 ( multiply(X1,X2) = right_division(multiply(X1,multiply(X2,X1)),X1) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.5.2.0','0.32.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.36.1.0',plain,
% 0.54/0.98 ( multiply(X1,X2) = right_division(multiply(X1,multiply(X2,X1)),X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.54/0.98 [weight('<87,32,5,[0,0,0,1]>')]).
% 0.54/0.98 cnf('0.36.2.0',plain,
% 0.54/0.98 ( right_division(multiply(X1,multiply(X2,X1)),X1) = multiply(X1,X2) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_36]).
% 0.54/0.98 cnf('0.50.0.0',plain,
% 0.54/0.98 ( left_division(right_inverse(X1),multiply(X2,right_inverse(X1))) = multiply(multiply(X1,X2),right_inverse(X1)) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.35.2.0','0.28.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1','L')]).
% 0.54/0.98 cnf('0.50.0.1',plain,
% 0.54/0.98 ( multiply(X1,multiply(X2,right_inverse(X1))) = multiply(multiply(X1,X2),right_inverse(X1)) ),
% 0.54/0.98 inference(reduction,[status(thm)],['0.50.0.0','0.28.2.0',theory(equality)]),
% 0.54/0.98 [pos('L','L')]).
% 0.54/0.98 cnf('0.50.1.0',plain,
% 0.54/0.98 ( multiply(X1,multiply(X2,right_inverse(X1))) = multiply(multiply(X1,X2),right_inverse(X1)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.54/0.98 [weight('<90,35,28,[1,0,0,1]>')]).
% 0.54/0.98 cnf('0.50.2.0',plain,
% 0.54/0.98 ( multiply(multiply(X1,X2),right_inverse(X1)) = multiply(X1,multiply(X2,right_inverse(X1))) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_50]).
% 0.54/0.98 cnf('0.54.0.0',plain,
% 0.54/0.98 ( right_inverse(multiply(X1,X2)) = right_division(X1,multiply(X1,multiply(X2,X1))) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.31.2.0','0.32.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.54.1.0',plain,
% 0.54/0.98 ( right_inverse(multiply(X1,X2)) = right_division(X1,multiply(X1,multiply(X2,X1))) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.54/0.98 [weight('<95,32,31,[0,0,0,2]>')]).
% 0.54/0.98 cnf('0.54.2.0',plain,
% 0.54/0.98 ( right_division(X1,multiply(X1,multiply(X2,X1))) = right_inverse(multiply(X1,X2)) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_54]).
% 0.54/0.98 cnf('0.56.0.0',plain,
% 0.54/0.98 ( multiply(X1,right_inverse(X2)) = right_division(multiply(X1,left_division(X2,X1)),X1) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.36.2.0','0.27.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1.2','L')]).
% 0.54/0.98 cnf('0.56.1.0',plain,
% 0.54/0.98 ( multiply(X1,right_inverse(X2)) = right_division(multiply(X1,left_division(X2,X1)),X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.54/0.98 [weight('<95,36,27,[1,0,0,3]>')]).
% 0.54/0.98 cnf('0.56.2.0',plain,
% 0.54/0.98 ( right_division(multiply(X1,left_division(X2,X1)),X1) = multiply(X1,right_inverse(X2)) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_56]).
% 0.54/0.98 cnf('0.57.0.0',plain,
% 0.54/0.98 ( multiply(X1,right_inverse(right_division(X1,X2))) = right_division(multiply(X1,X2),X1) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.56.2.0','0.21.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.1.2','L')]).
% 0.54/0.98 cnf('0.57.0.1',plain,
% 0.54/0.98 ( multiply(X1,right_division(X2,X1)) = right_division(multiply(X1,X2),X1) ),
% 0.54/0.98 inference(reduction,[status(thm)],['0.57.0.0','0.30.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.57.1.0',plain,
% 0.54/0.98 ( multiply(X1,right_division(X2,X1)) = right_division(multiply(X1,X2),X1) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.57.0.1']),
% 0.54/0.98 [weight('<65,56,21,[1,0,0,3]>')]).
% 0.54/0.98 cnf('0.57.2.0',plain,
% 0.54/0.98 ( multiply(X1,right_division(X2,X1)) = right_division(multiply(X1,X2),X1) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.54/0.98 [u,rule_57]).
% 0.54/0.98 cnf('0.58.0.0',plain,
% 0.54/0.98 ( right_division(X1,X2) = left_division(X2,right_division(multiply(X2,X1),X2)) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.6.2.0','0.57.2.0',theory(equality)]),
% 0.54/0.98 [pos('L.2','L')]).
% 0.54/0.98 cnf('0.58.1.0',plain,
% 0.54/0.98 ( right_division(X1,X2) = left_division(X2,right_division(multiply(X2,X1),X2)) ),
% 0.54/0.98 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.54/0.98 [weight('<87,57,6,[0,0,0,2]>')]).
% 0.54/0.98 cnf('0.58.2.0',plain,
% 0.54/0.98 ( left_division(X1,right_division(multiply(X1,X2),X1)) = right_division(X2,X1) ),
% 0.54/0.98 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.54/0.98 [x,rule_58]).
% 0.54/0.98 cnf('0.59.0.0',plain,
% 0.54/0.98 ( right_division(left_division(X1,X2),X1) = left_division(X1,right_division(X2,X1)) ),
% 0.54/0.98 inference(cp,[status(thm)],['0.58.2.0','0.1.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.59.1.0',plain,
% 0.54/0.99 ( right_division(left_division(X1,X2),X1) = left_division(X1,right_division(X2,X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.54/0.99 [weight('<65,58,1,[1,0,0,3]>')]).
% 0.54/0.99 cnf('0.59.2.0',plain,
% 0.54/0.99 ( right_division(left_division(X1,X2),X1) = left_division(X1,right_division(X2,X1)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_59]).
% 0.54/0.99 cnf('0.60.0.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(X1,X2)) = right_inverse(left_division(X1,right_division(X2,X1))) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.30.2.0','0.59.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.60.1.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(X1,X2)) = right_inverse(left_division(X1,right_division(X2,X1))) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.54/0.99 [weight('<83,59,30,[0,0,0,1]>')]).
% 0.54/0.99 cnf('0.60.2.0',plain,
% 0.54/0.99 ( right_inverse(left_division(X1,right_division(X2,X1))) = right_division(X1,left_division(X1,X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_60]).
% 0.54/0.99 cnf('0.77.0.0',plain,
% 0.54/0.99 ( multiply(multiply(multiply(X1,X2),X1),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.54/0.99 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.54/0.99 cnf('0.77.0.1',plain,
% 0.54/0.99 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.77.0.0','0.32.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.77.1.0',plain,
% 0.54/0.99 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.77.0.1']),
% 0.54/0.99 [weight('<119,7,32,[0,0,0,0]>')]).
% 0.54/0.99 cnf('0.77.2.0',plain,
% 0.54/0.99 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_77]).
% 0.54/0.99 cnf('0.78.0.0',plain,
% 0.54/0.99 ( multiply(X1,multiply(X2,multiply(X1,right_inverse(X1)))) = multiply(X1,multiply(multiply(X2,X1),right_inverse(X1))) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.77.2.0','0.50.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.78.0.1',plain,
% 0.54/0.99 ( multiply(X1,multiply(X2,identity)) = multiply(X1,multiply(multiply(X2,X1),right_inverse(X1))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.78.0.0','0.8.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.2','L')]).
% 0.54/0.99 cnf('0.78.0.2',plain,
% 0.54/0.99 ( multiply(X1,X2) = multiply(X1,multiply(multiply(X2,X1),right_inverse(X1))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.78.0.1','0.2.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.78.1.0',plain,
% 0.54/0.99 ( X2 = multiply(multiply(X2,X1),right_inverse(X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.78.0.2']),
% 0.54/0.99 [weight('<55,77,50,[1,0,0,0]>')]).
% 0.54/0.99 cnf('0.78.2.0',plain,
% 0.54/0.99 ( multiply(multiply(X1,X2),right_inverse(X2)) = X1 ),
% 0.54/0.99 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_78]).
% 0.54/0.99 cnf('0.79.0.0',plain,
% 0.54/0.99 ( multiply(X1,X2) = right_division(X1,right_inverse(X2)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.5.2.0','0.78.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.79.1.0',plain,
% 0.54/0.99 ( multiply(X1,X2) = right_division(X1,right_inverse(X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.79.0.0']),
% 0.54/0.99 [weight('<39,78,5,[0,0,0,1]>')]).
% 0.54/0.99 cnf('0.79.2.0',plain,
% 0.54/0.99 ( right_division(X1,right_inverse(X2)) = multiply(X1,X2) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_79]).
% 0.54/0.99 cnf('0.80.0.0',plain,
% 0.54/0.99 ( multiply(X1,right_inverse(X2)) = right_division(X1,X2) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.79.2.0','0.23.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.80.1.0',plain,
% 0.54/0.99 ( multiply(X1,right_inverse(X2)) = right_division(X1,X2) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.54/0.99 [weight('<39,79,23,[1,0,0,2]>')]).
% 0.54/0.99 cnf('0.80.2.0',plain,
% 0.54/0.99 ( multiply(X1,right_inverse(X2)) = right_division(X1,X2) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_80]).
% 0.54/0.99 cnf('0.81.0.0',plain,
% 0.54/0.99 ( right_division(right_inverse(X1),X2) = right_inverse(multiply(X2,X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.30.2.0','0.79.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.81.1.0',plain,
% 0.54/0.99 ( right_division(right_inverse(X1),X2) = right_inverse(multiply(X2,X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.54/0.99 [weight('<44,79,30,[0,0,0,1]>')]).
% 0.54/0.99 cnf('0.81.2.0',plain,
% 0.54/0.99 ( right_inverse(multiply(X1,X2)) = right_division(right_inverse(X2),X1) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_81]).
% 0.54/0.99 cnf('0.82.0.0',plain,
% 0.54/0.99 ( right_division(right_inverse(X1),right_inverse(X2)) = right_inverse(left_division(X2,X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.81.2.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.82.0.1',plain,
% 0.54/0.99 ( multiply(right_inverse(X1),X2) = right_inverse(left_division(X2,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.82.0.0','0.79.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.82.0.2',plain,
% 0.54/0.99 ( left_division(X1,X2) = right_inverse(left_division(X2,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.82.0.1','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.82.1.0',plain,
% 0.54/0.99 ( left_division(X1,X2) = right_inverse(left_division(X2,X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.82.0.2']),
% 0.54/0.99 [weight('<39,81,27,[1,0,0,1]>')]).
% 0.54/0.99 cnf('0.82.2.0',plain,
% 0.54/0.99 ( right_inverse(left_division(X1,X2)) = left_division(X2,X1) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_82]).
% 0.54/0.99 cnf('0.83.0.0',plain,
% 0.54/0.99 ( right_division(right_inverse(X1),X2) = left_division(X1,right_inverse(X2)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.80.2.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.83.1.0',plain,
% 0.54/0.99 ( right_division(right_inverse(X1),X2) = left_division(X1,right_inverse(X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.83.0.0']),
% 0.54/0.99 [weight('<44,80,27,[1,0,0,0]>')]).
% 0.54/0.99 cnf('0.83.2.0',plain,
% 0.54/0.99 ( right_division(right_inverse(X1),X2) = left_division(X1,right_inverse(X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_83]).
% 0.54/0.99 cnf('0.85.0.0',plain,
% 0.54/0.99 ( right_inverse(multiply(X1,X2)) = right_division(right_inverse(X2),X1) ),
% 0.54/0.99 inference(interreduction_right,[status(thm)],['0.81.2.0'])).
% 0.54/0.99 cnf('0.85.0.1',plain,
% 0.54/0.99 ( right_inverse(multiply(X1,X2)) = left_division(X2,right_inverse(X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.85.0.0','0.83.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.85.1.0',plain,
% 0.54/0.99 ( right_inverse(multiply(X1,X2)) = left_division(X2,right_inverse(X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.85.0.1']),
% 0.54/0.99 [weight('<44,81,83,[0,0,0,0]>')]).
% 0.54/0.99 cnf('0.85.2.0',plain,
% 0.54/0.99 ( right_inverse(multiply(X1,X2)) = left_division(X2,right_inverse(X1)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_85]).
% 0.54/0.99 cnf('0.87.0.0',plain,
% 0.54/0.99 ( right_inverse(X1) = left_division(X2,right_division(X2,X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.6.2.0','0.80.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.87.1.0',plain,
% 0.54/0.99 ( right_inverse(X1) = left_division(X2,right_division(X2,X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.87.0.0']),
% 0.54/0.99 [weight('<47,80,6,[0,0,0,2]>')]).
% 0.54/0.99 cnf('0.87.2.0',plain,
% 0.54/0.99 ( left_division(X1,right_division(X1,X2)) = right_inverse(X2) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_87]).
% 0.54/0.99 cnf('0.90.0.0',plain,
% 0.54/0.99 ( right_inverse(left_division(X1,right_division(X2,X1))) = right_division(X1,left_division(X1,X2)) ),
% 0.54/0.99 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 0.54/0.99 cnf('0.90.0.1',plain,
% 0.54/0.99 ( left_division(right_division(X2,X1),X1) = right_division(X1,left_division(X1,X2)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.90.0.0','0.82.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.90.1.0',plain,
% 0.54/0.99 ( left_division(right_division(X2,X1),X1) = right_division(X1,left_division(X1,X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.90.0.1']),
% 0.54/0.99 [weight('<65,60,82,[0,0,0,0]>')]).
% 0.54/0.99 cnf('0.90.2.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(X1,X2)) = left_division(right_division(X2,X1),X1) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_90]).
% 0.54/0.99 cnf('0.93.0.0',plain,
% 0.54/0.99 ( multiply(X1,right_division(X2,X3)) = right_division(X1,right_division(X3,X2)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.79.2.0','0.30.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.93.1.0',plain,
% 0.54/0.99 ( multiply(X1,right_division(X2,X3)) = right_division(X1,right_division(X3,X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.93.0.0']),
% 0.54/0.99 [weight('<65,79,30,[1,0,0,2]>')]).
% 0.54/0.99 cnf('0.93.2.0',plain,
% 0.54/0.99 ( multiply(X1,right_division(X2,X3)) = right_division(X1,right_division(X3,X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_93]).
% 0.54/0.99 cnf('0.94.0.0',plain,
% 0.54/0.99 ( multiply(X1,right_division(X2,X1)) = right_division(multiply(X1,X2),X1) ),
% 0.54/0.99 inference(interreduction_right,[status(thm)],['0.57.2.0'])).
% 0.54/0.99 cnf('0.94.0.1',plain,
% 0.54/0.99 ( right_division(X1,right_division(X1,X2)) = right_division(multiply(X1,X2),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.94.0.0','0.93.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.94.1.0',plain,
% 0.54/0.99 ( right_division(X1,right_division(X1,X2)) = right_division(multiply(X1,X2),X1) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.94.0.1']),
% 0.54/0.99 [weight('<65,57,93,[0,0,0,0]>')]).
% 0.54/0.99 cnf('0.94.2.0',plain,
% 0.54/0.99 ( right_division(multiply(X1,X2),X1) = right_division(X1,right_division(X1,X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_94]).
% 0.54/0.99 cnf('0.96.0.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,X2),X3) = multiply(left_division(X2,X1),X3) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.27.2.0','0.82.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.96.1.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,X2),X3) = multiply(left_division(X2,X1),X3) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.96.0.0']),
% 0.54/0.99 [weight('<65,82,27,[0,0,0,1]>')]).
% 0.54/0.99 cnf('0.96.2.0',plain,
% 0.54/0.99 ( multiply(left_division(X1,X2),X3) = left_division(left_division(X2,X1),X3) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_96]).
% 0.54/0.99 cnf('0.98.0.0',plain,
% 0.54/0.99 ( multiply(X1,left_division(X2,X3)) = right_division(X1,left_division(X3,X2)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.79.2.0','0.82.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.98.1.0',plain,
% 0.54/0.99 ( multiply(X1,left_division(X2,X3)) = right_division(X1,left_division(X3,X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.98.0.0']),
% 0.54/0.99 [weight('<65,82,79,[0,0,0,2]>')]).
% 0.54/0.99 cnf('0.98.2.0',plain,
% 0.54/0.99 ( multiply(X1,left_division(X2,X3)) = right_division(X1,left_division(X3,X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_98]).
% 0.54/0.99 cnf('0.106.0.0',plain,
% 0.54/0.99 ( left_division(right_division(right_inverse(X1),X2),X3) = multiply(multiply(X2,X1),X3) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.33.2.0','0.79.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.106.1.0',plain,
% 0.54/0.99 ( left_division(right_division(right_inverse(X1),X2),X3) = multiply(multiply(X2,X1),X3) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.54/0.99 [weight('<83,79,33,[0,0,0,1]>')]).
% 0.54/0.99 cnf('0.106.1.1',plain,
% 0.54/0.99 ( left_division(left_division(X1,right_inverse(X2)),X3) = multiply(multiply(X2,X1),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.106.1.0','0.83.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.106.2.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,right_inverse(X2)),X3) = multiply(multiply(X2,X1),X3) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.106.1.1',theory(equality)]),
% 0.54/0.99 [u,rule_106]).
% 0.54/0.99 cnf('0.109.0.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,X2),right_inverse(X3)) = right_division(left_division(X2,X1),X3) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.83.2.0','0.82.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.109.1.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,X2),right_inverse(X3)) = right_division(left_division(X2,X1),X3) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.109.0.0']),
% 0.54/0.99 [weight('<83,83,82,[1,0,0,1]>')]).
% 0.54/0.99 cnf('0.109.2.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,X2),right_inverse(X3)) = right_division(left_division(X2,X1),X3) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_109]).
% 0.54/0.99 cnf('0.110.0.0',plain,
% 0.54/0.99 ( multiply(X1,multiply(X2,X3)) = right_division(X1,left_division(X3,right_inverse(X2))) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.79.2.0','0.85.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.110.1.0',plain,
% 0.54/0.99 ( multiply(X1,multiply(X2,X3)) = right_division(X1,left_division(X3,right_inverse(X2))) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.110.0.0']),
% 0.54/0.99 [weight('<83,85,79,[0,0,0,2]>')]).
% 0.54/0.99 cnf('0.110.2.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(X2,right_inverse(X3))) = multiply(X1,multiply(X3,X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_110]).
% 0.54/0.99 cnf('0.111.0.0',plain,
% 0.54/0.99 ( right_inverse(left_division(X1,X2)) = left_division(X1,left_division(right_division(X2,X1),X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.87.2.0','0.90.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.111.0.1',plain,
% 0.54/0.99 ( left_division(X2,X1) = left_division(X1,left_division(right_division(X2,X1),X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.111.0.0','0.82.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.111.1.0',plain,
% 0.54/0.99 ( left_division(X2,X1) = left_division(X1,left_division(right_division(X2,X1),X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.111.0.1']),
% 0.54/0.99 [weight('<87,90,87,[0,0,0,2]>')]).
% 0.54/0.99 cnf('0.111.2.0',plain,
% 0.54/0.99 ( left_division(X1,left_division(right_division(X2,X1),X1)) = left_division(X2,X1) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_111]).
% 0.54/0.99 cnf('0.125.0.0',plain,
% 0.54/0.99 ( right_division(X1,multiply(X1,multiply(X2,X1))) = right_inverse(multiply(X1,X2)) ),
% 0.54/0.99 inference(interreduction_right,[status(thm)],['0.54.2.0'])).
% 0.54/0.99 cnf('0.125.0.1',plain,
% 0.54/0.99 ( right_division(X1,multiply(X1,multiply(X2,X1))) = right_division(right_inverse(X2),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.125.0.0','0.81.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.125.1.0',plain,
% 0.54/0.99 ( right_division(X1,multiply(X1,multiply(X2,X1))) = right_division(right_inverse(X2),X1) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.125.0.1']),
% 0.54/0.99 [weight('<95,54,81,[0,0,0,0]>')]).
% 0.54/0.99 cnf('0.125.1.1',plain,
% 0.54/0.99 ( right_division(X1,multiply(X1,multiply(X2,X1))) = left_division(X2,right_inverse(X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.125.1.0','0.83.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.125.2.0',plain,
% 0.54/0.99 ( right_division(X1,multiply(X1,multiply(X2,X1))) = left_division(X2,right_inverse(X1)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.125.1.1',theory(equality)]),
% 0.54/0.99 [u,rule_125]).
% 0.54/0.99 cnf('0.144.0.0',plain,
% 0.54/0.99 ( multiply(X1,multiply(right_inverse(X2),multiply(X1,X3))) = multiply(multiply(X1,left_division(X2,X1)),X3) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.77.2.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1.2','L')]).
% 0.54/0.99 cnf('0.144.0.1',plain,
% 0.54/0.99 ( multiply(X1,left_division(X2,multiply(X1,X3))) = multiply(multiply(X1,left_division(X2,X1)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.144.0.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.144.1.0',plain,
% 0.54/0.99 ( multiply(X1,left_division(X2,multiply(X1,X3))) = multiply(multiply(X1,left_division(X2,X1)),X3) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.144.0.1']),
% 0.54/0.99 [weight('<119,77,27,[1,0,0,3]>')]).
% 0.54/0.99 cnf('0.144.1.1',plain,
% 0.54/0.99 ( right_division(X1,left_division(multiply(X1,X3),X2)) = multiply(multiply(X1,left_division(X2,X1)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.144.1.0','0.98.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.144.1.2',plain,
% 0.54/0.99 ( right_division(X1,left_division(multiply(X1,X3),X2)) = multiply(right_division(X1,left_division(X1,X2)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.144.1.1','0.98.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.1','L')]).
% 0.54/0.99 cnf('0.144.1.3',plain,
% 0.54/0.99 ( right_division(X1,left_division(multiply(X1,X3),X2)) = multiply(left_division(right_division(X2,X1),X1),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.144.1.2','0.90.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.1','L')]).
% 0.54/0.99 cnf('0.144.1.4',plain,
% 0.54/0.99 ( right_division(X1,left_division(multiply(X1,X3),X2)) = left_division(left_division(X1,right_division(X2,X1)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.144.1.3','0.96.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.144.2.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(multiply(X1,X2),X3)) = left_division(left_division(X1,right_division(X3,X1)),X2) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.144.1.4',theory(equality)]),
% 0.54/0.99 [u,rule_144]).
% 0.54/0.99 cnf('0.147.0.0',plain,
% 0.54/0.99 ( multiply(right_inverse(X1),multiply(X2,multiply(right_inverse(X1),X3))) = multiply(multiply(right_inverse(X1),right_division(X2,X1)),X3) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.77.2.0','0.80.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1.2','L')]).
% 0.54/0.99 cnf('0.147.0.1',plain,
% 0.54/0.99 ( left_division(X1,multiply(X2,multiply(right_inverse(X1),X3))) = multiply(multiply(right_inverse(X1),right_division(X2,X1)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.147.0.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.147.0.2',plain,
% 0.54/0.99 ( left_division(X1,multiply(X2,left_division(X1,X3))) = multiply(multiply(right_inverse(X1),right_division(X2,X1)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.147.0.1','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.2','L')]).
% 0.54/0.99 cnf('0.147.0.3',plain,
% 0.54/0.99 ( left_division(X1,multiply(X2,left_division(X1,X3))) = multiply(left_division(X1,right_division(X2,X1)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.147.0.2','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.1','L')]).
% 0.54/0.99 cnf('0.147.1.0',plain,
% 0.54/0.99 ( left_division(X1,multiply(X2,left_division(X1,X3))) = multiply(left_division(X1,right_division(X2,X1)),X3) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.147.0.3']),
% 0.54/0.99 [weight('<119,80,77,[0,0,0,3]>')]).
% 0.54/0.99 cnf('0.147.1.1',plain,
% 0.54/0.99 ( left_division(X1,right_division(X2,left_division(X3,X1))) = multiply(left_division(X1,right_division(X2,X1)),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.147.1.0','0.98.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.147.1.2',plain,
% 0.54/0.99 ( left_division(X1,right_division(X2,left_division(X3,X1))) = left_division(left_division(right_division(X2,X1),X1),X3) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.147.1.1','0.96.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.147.2.0',plain,
% 0.54/0.99 ( left_division(left_division(right_division(X1,X2),X2),X3) = left_division(X2,right_division(X1,left_division(X3,X2))) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.147.1.2',theory(equality)]),
% 0.54/0.99 [x,rule_147]).
% 0.54/0.99 cnf('0.148.0.0',plain,
% 0.54/0.99 ( right_division(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,right_inverse(X3)))) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.80.2.0','0.77.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.148.0.1',plain,
% 0.54/0.99 ( right_division(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,right_division(X1,X3))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.148.0.0','0.80.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.2.2','L')]).
% 0.54/0.99 cnf('0.148.1.0',plain,
% 0.54/0.99 ( right_division(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,right_division(X1,X3))) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.148.0.1']),
% 0.54/0.99 [weight('<119,80,77,[1,0,0,0]>')]).
% 0.54/0.99 cnf('0.148.1.1',plain,
% 0.54/0.99 ( right_division(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,right_division(X2,right_division(X3,X1))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.148.1.0','0.93.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.2','L')]).
% 0.54/0.99 cnf('0.148.1.2',plain,
% 0.54/0.99 ( right_division(multiply(X1,multiply(X2,X1)),X3) = right_division(X1,right_division(right_division(X3,X1),X2)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.148.1.1','0.93.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.148.2.0',plain,
% 0.54/0.99 ( right_division(multiply(X1,multiply(X2,X1)),X3) = right_division(X1,right_division(right_division(X3,X1),X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.148.1.2',theory(equality)]),
% 0.54/0.99 [u,rule_148]).
% 0.54/0.99 cnf('0.162.0.0',plain,
% 0.54/0.99 ( right_division(right_division(X1,X2),left_division(X3,X4)) = left_division(right_division(X2,X1),left_division(X4,X3)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.98.2.0','0.33.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.162.1.0',plain,
% 0.54/0.99 ( right_division(right_division(X1,X2),left_division(X3,X4)) = left_division(right_division(X2,X1),left_division(X4,X3)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.162.0.0']),
% 0.54/0.99 [weight('<119,98,33,[1,0,0,0]>')]).
% 0.54/0.99 cnf('0.162.2.0',plain,
% 0.54/0.99 ( right_division(right_division(X1,X2),left_division(X3,X4)) = left_division(right_division(X2,X1),left_division(X4,X3)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_162]).
% 0.54/0.99 cnf('0.182.0.0',plain,
% 0.54/0.99 ( right_division(left_division(multiply(X1,X2),X3),X1) = right_inverse(left_division(left_division(X1,right_division(X3,X1)),X2)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.30.2.0','0.144.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.182.0.1',plain,
% 0.54/0.99 ( right_division(left_division(multiply(X1,X2),X3),X1) = left_division(X2,left_division(X1,right_division(X3,X1))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.182.0.0','0.82.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.182.1.0',plain,
% 0.54/0.99 ( right_division(left_division(multiply(X1,X2),X3),X1) = left_division(X2,left_division(X1,right_division(X3,X1))) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.182.0.1']),
% 0.54/0.99 [weight('<119,144,30,[0,0,0,1]>')]).
% 0.54/0.99 cnf('0.182.2.0',plain,
% 0.54/0.99 ( right_division(left_division(multiply(X1,X2),X3),X1) = left_division(X2,left_division(X1,right_division(X3,X1))) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_182]).
% 0.54/0.99 cnf('0.183.0.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,right_division(X2,X1)),right_inverse(X3)) = right_division(X1,left_division(right_division(X1,X3),X2)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.144.2.0','0.80.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.183.0.1',plain,
% 0.54/0.99 ( right_division(left_division(right_division(X2,X1),X1),X3) = right_division(X1,left_division(right_division(X1,X3),X2)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.183.0.0','0.109.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.183.1.0',plain,
% 0.54/0.99 ( right_division(left_division(right_division(X2,X1),X1),X3) = right_division(X1,left_division(right_division(X1,X3),X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.183.0.1']),
% 0.54/0.99 [weight('<119,144,80,[1,0,0,3]>')]).
% 0.54/0.99 cnf('0.183.2.0',plain,
% 0.54/0.99 ( right_division(left_division(right_division(X1,X2),X2),X3) = right_division(X2,left_division(right_division(X2,X3),X1)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_183]).
% 0.54/0.99 cnf('0.195.0.0',plain,
% 0.54/0.99 ( left_division(right_inverse(X1),left_division(X2,right_division(X3,X2))) = right_division(left_division(right_division(X2,X1),X3),X2) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.182.2.0','0.80.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1.1','L')]).
% 0.54/0.99 cnf('0.195.0.1',plain,
% 0.54/0.99 ( multiply(X1,left_division(X2,right_division(X3,X2))) = right_division(left_division(right_division(X2,X1),X3),X2) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.195.0.0','0.28.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.195.0.2',plain,
% 0.54/0.99 ( right_division(X1,left_division(right_division(X3,X2),X2)) = right_division(left_division(right_division(X2,X1),X3),X2) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.195.0.1','0.98.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.195.1.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(right_division(X3,X2),X2)) = right_division(left_division(right_division(X2,X1),X3),X2) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.195.0.2']),
% 0.54/0.99 [weight('<119,182,80,[1,0,0,2]>')]).
% 0.54/0.99 cnf('0.195.2.0',plain,
% 0.54/0.99 ( right_division(left_division(right_division(X1,X2),X3),X1) = right_division(X2,left_division(right_division(X3,X1),X1)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_195]).
% 0.54/0.99 cnf('0.211.0.0',plain,
% 0.54/0.99 ( right_division(multiply(X1,multiply(X2,X1)),left_division(right_division(X3,X1),X1)) = right_division(left_division(left_division(X2,right_inverse(X1)),X3),X1) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.195.2.0','0.125.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1.1','L')]).
% 0.54/0.99 cnf('0.211.0.1',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(left_division(right_division(X3,X1),X1),X1),X2)) = right_division(left_division(left_division(X2,right_inverse(X1)),X3),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.211.0.0','0.148.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.211.0.2',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,left_division(right_division(X1,X1),X3)),X2)) = right_division(left_division(left_division(X2,right_inverse(X1)),X3),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.211.0.1','0.183.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.211.0.3',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,left_division(identity,X3)),X2)) = right_division(left_division(left_division(X2,right_inverse(X1)),X3),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.211.0.2','0.14.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1.2.1','L')]).
% 0.54/0.99 cnf('0.211.0.4',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,X3),X2)) = right_division(left_division(left_division(X2,right_inverse(X1)),X3),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.211.0.3','0.12.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1.2','L')]).
% 0.54/0.99 cnf('0.211.0.5',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,X3),X2)) = right_division(multiply(multiply(X1,X2),X3),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.211.0.4','0.106.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.1','L')]).
% 0.54/0.99 cnf('0.211.1.0',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,X3),X2)) = right_division(multiply(multiply(X1,X2),X3),X1) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.211.0.5']),
% 0.54/0.99 [weight('<119,195,125,[1,0,0,2]>')]).
% 0.54/0.99 cnf('0.211.2.0',plain,
% 0.54/0.99 ( right_division(multiply(multiply(X1,X2),X3),X1) = right_division(X1,right_division(right_division(X1,X3),X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.211.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_211]).
% 0.54/0.99 cnf('0.217.0.0',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,X2),multiply(X3,X1))) = right_division(multiply(X1,multiply(X3,multiply(X1,X2))),X1) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.211.2.0','0.77.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.217.0.1',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,X2),multiply(X3,X1))) = right_division(X1,right_division(X1,multiply(X3,multiply(X1,X2)))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.217.0.0','0.94.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.217.1.0',plain,
% 0.54/0.99 ( right_division(right_division(X1,X2),multiply(X3,X1)) = right_division(X1,multiply(X3,multiply(X1,X2))) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.217.0.1']),
% 0.54/0.99 [weight('<119,211,77,[1,0,0,1]>')]).
% 0.54/0.99 cnf('0.217.2.0',plain,
% 0.54/0.99 ( right_division(right_division(X1,X2),multiply(X3,X1)) = right_division(X1,multiply(X3,multiply(X1,X2))) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_217]).
% 0.54/0.99 cnf('0.218.0.0',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_division(X1,right_inverse(X2)),X3)) = right_division(right_division(multiply(X1,X3),X2),X1) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.211.2.0','0.80.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.218.0.1',plain,
% 0.54/0.99 ( right_division(X1,right_division(multiply(X1,X2),X3)) = right_division(right_division(multiply(X1,X3),X2),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.218.0.0','0.79.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.218.1.0',plain,
% 0.54/0.99 ( right_division(X1,right_division(multiply(X1,X2),X3)) = right_division(right_division(multiply(X1,X3),X2),X1) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.218.0.1']),
% 0.54/0.99 [weight('<119,211,80,[1,0,0,1]>')]).
% 0.54/0.99 cnf('0.218.2.0',plain,
% 0.54/0.99 ( right_division(right_division(multiply(X1,X2),X3),X1) = right_division(X1,right_division(multiply(X1,X3),X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_218]).
% 0.54/0.99 cnf('0.227.0.0',plain,
% 0.54/0.99 ( right_division(X1,multiply(right_inverse(X2),multiply(X1,X3))) = right_division(right_division(X1,X3),left_division(X2,X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.217.2.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.227.0.1',plain,
% 0.54/0.99 ( right_division(X1,left_division(X2,multiply(X1,X3))) = right_division(right_division(X1,X3),left_division(X2,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.227.0.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.227.0.2',plain,
% 0.54/0.99 ( right_division(X1,left_division(X2,multiply(X1,X3))) = left_division(right_division(X3,X1),left_division(X1,X2)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.227.0.1','0.162.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.227.1.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(X2,multiply(X1,X3))) = left_division(right_division(X3,X1),left_division(X1,X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.227.0.2']),
% 0.54/0.99 [weight('<119,217,27,[1,0,0,4]>')]).
% 0.54/0.99 cnf('0.227.2.0',plain,
% 0.54/0.99 ( right_division(X1,left_division(X2,multiply(X1,X3))) = left_division(right_division(X3,X1),left_division(X1,X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_227]).
% 0.54/0.99 cnf('0.231.0.0',plain,
% 0.54/0.99 ( left_division(right_division(multiply(X1,X2),X3),X1) = left_division(X1,left_division(right_division(X1,right_division(multiply(X1,X3),X2)),X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.111.2.0','0.218.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.231.0.1',plain,
% 0.54/0.99 ( left_division(right_division(multiply(X1,X2),X3),X1) = left_division(X1,right_division(multiply(X1,X3),X2)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.231.0.0','0.21.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.2','L')]).
% 0.54/0.99 cnf('0.231.1.0',plain,
% 0.54/0.99 ( left_division(right_division(multiply(X1,X2),X3),X1) = left_division(X1,right_division(multiply(X1,X3),X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.231.0.1']),
% 0.54/0.99 [weight('<119,218,111,[0,0,0,3]>')]).
% 0.54/0.99 cnf('0.231.2.0',plain,
% 0.54/0.99 ( left_division(right_division(multiply(X1,X2),X3),X1) = left_division(X1,right_division(multiply(X1,X3),X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 0.54/0.99 [u,rule_231]).
% 0.54/0.99 cnf('0.249.0.0',plain,
% 0.54/0.99 ( left_division(X1,right_division(multiply(X1,left_division(multiply(X1,X2),X3)),X2)) = left_division(left_division(right_division(X3,multiply(X1,X2)),multiply(X1,X2)),X1) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.231.2.0','0.90.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.249.0.1',plain,
% 0.54/0.99 ( left_division(X1,right_division(right_division(X1,left_division(X3,multiply(X1,X2))),X2)) = left_division(left_division(right_division(X3,multiply(X1,X2)),multiply(X1,X2)),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.249.0.0','0.98.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.249.0.2',plain,
% 0.54/0.99 ( left_division(X1,right_division(left_division(right_division(X2,X1),left_division(X1,X3)),X2)) = left_division(left_division(right_division(X3,multiply(X1,X2)),multiply(X1,X2)),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.249.0.1','0.227.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.249.0.3',plain,
% 0.54/0.99 ( left_division(X1,right_division(X1,left_division(right_division(left_division(X1,X3),X2),X2))) = left_division(left_division(right_division(X3,multiply(X1,X2)),multiply(X1,X2)),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.249.0.2','0.195.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.249.0.4',plain,
% 0.54/0.99 ( right_inverse(left_division(right_division(left_division(X1,X3),X2),X2)) = left_division(left_division(right_division(X3,multiply(X1,X2)),multiply(X1,X2)),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.249.0.3','0.87.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.249.0.5',plain,
% 0.54/0.99 ( left_division(X2,right_division(left_division(X1,X3),X2)) = left_division(left_division(right_division(X3,multiply(X1,X2)),multiply(X1,X2)),X1) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.249.0.4','0.82.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.249.0.6',plain,
% 0.54/0.99 ( left_division(X2,right_division(left_division(X1,X3),X2)) = left_division(multiply(X1,X2),right_division(X3,left_division(X1,multiply(X1,X2)))) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.249.0.5','0.147.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.249.0.7',plain,
% 0.54/0.99 ( left_division(X2,right_division(left_division(X1,X3),X2)) = left_division(multiply(X1,X2),right_division(X3,X2)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.249.0.6','0.6.2.0',theory(equality)]),
% 0.54/0.99 [pos('R.2.2','L')]).
% 0.54/0.99 cnf('0.249.1.0',plain,
% 0.54/0.99 ( left_division(X2,right_division(left_division(X1,X3),X2)) = left_division(multiply(X1,X2),right_division(X3,X2)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.249.0.7']),
% 0.54/0.99 [weight('<119,231,90,[1,0,0,1]>')]).
% 0.54/0.99 cnf('0.249.2.0',plain,
% 0.54/0.99 ( left_division(multiply(X1,X2),right_division(X3,X2)) = left_division(X2,right_division(left_division(X1,X3),X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.249.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_249]).
% 0.54/0.99 cnf('0.254.0.0',plain,
% 0.54/0.99 ( left_division(X1,right_division(left_division(right_inverse(X2),X3),X1)) = left_division(left_division(X2,X1),right_division(X3,X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.249.2.0','0.27.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.1','L')]).
% 0.54/0.99 cnf('0.254.0.1',plain,
% 0.54/0.99 ( left_division(X1,right_division(multiply(X2,X3),X1)) = left_division(left_division(X2,X1),right_division(X3,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.254.0.0','0.28.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2.1','L')]).
% 0.54/0.99 cnf('0.254.1.0',plain,
% 0.54/0.99 ( left_division(X1,right_division(multiply(X2,X3),X1)) = left_division(left_division(X2,X1),right_division(X3,X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.254.0.1']),
% 0.54/0.99 [weight('<119,249,27,[1,0,0,1]>')]).
% 0.54/0.99 cnf('0.254.2.0',plain,
% 0.54/0.99 ( left_division(left_division(X1,X2),right_division(X3,X2)) = left_division(X2,right_division(multiply(X1,X3),X2)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.254.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_254]).
% 0.54/0.99 cnf('0.257.0.0',plain,
% 0.54/0.99 ( left_division(right_inverse(X1),right_division(multiply(X2,X3),right_inverse(X1))) = left_division(left_division(X2,right_inverse(X1)),multiply(X3,X1)) ),
% 0.54/0.99 inference(cp,[status(thm)],['0.254.2.0','0.79.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.257.0.1',plain,
% 0.54/0.99 ( multiply(X1,right_division(multiply(X2,X3),right_inverse(X1))) = left_division(left_division(X2,right_inverse(X1)),multiply(X3,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.257.0.0','0.28.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.257.0.2',plain,
% 0.54/0.99 ( right_division(X1,right_division(right_inverse(X1),multiply(X2,X3))) = left_division(left_division(X2,right_inverse(X1)),multiply(X3,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.257.0.1','0.93.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.257.0.3',plain,
% 0.54/0.99 ( right_division(X1,left_division(X1,right_inverse(multiply(X2,X3)))) = left_division(left_division(X2,right_inverse(X1)),multiply(X3,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.257.0.2','0.83.2.0',theory(equality)]),
% 0.54/0.99 [pos('L.2','L')]).
% 0.54/0.99 cnf('0.257.0.4',plain,
% 0.54/0.99 ( multiply(X1,multiply(multiply(X2,X3),X1)) = left_division(left_division(X2,right_inverse(X1)),multiply(X3,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.257.0.3','0.110.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('0.257.0.5',plain,
% 0.54/0.99 ( multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['0.257.0.4','0.106.2.0',theory(equality)]),
% 0.54/0.99 [pos('R','L')]).
% 0.54/0.99 cnf('0.257.1.0',plain,
% 0.54/0.99 ( multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.54/0.99 inference(weigh,[status(thm)],['0.257.0.5']),
% 0.54/0.99 [weight('<119,254,79,[1,0,0,4]>')]).
% 0.54/0.99 cnf('0.257.2.0',plain,
% 0.54/0.99 ( multiply(multiply(X1,X2),multiply(X3,X1)) = multiply(X1,multiply(multiply(X2,X3),X1)) ),
% 0.54/0.99 inference(orient,[status(thm)],['0.257.1.0',theory(equality)]),
% 0.54/0.99 [x,rule_257]).
% 0.54/0.99 cnf('1.0.0.0',conjecture,
% 0.54/0.99 ( multiply(multiply(x,y),multiply(z,x)) = multiply(x,multiply(multiply(y,z),x)) ),
% 0.54/0.99 file('/tmp/WALDMEISTER_20821_n032',conjecture_1)).
% 0.54/0.99 cnf('1.0.0.1',plain,
% 0.54/0.99 ( multiply(x,multiply(multiply(y,z),x)) = multiply(x,multiply(multiply(y,z),x)) ),
% 0.54/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.257.2.0',theory(equality)]),
% 0.54/0.99 [pos('L','L')]).
% 0.54/0.99 cnf('1.0.0.2',plain,
% 0.54/0.99 ( $true ),
% 0.54/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.54/0.99 [conjecture_1]).
% 0.54/0.99
% 0.54/0.99 Proved Goals:
% 0.54/0.99 No. 1: multiply(multiply(x,y),multiply(z,x)) ?= multiply(x,multiply(multiply(y,z),x)) joined, current: multiply(x,multiply(multiply(y,z),x)) = multiply(x,multiply(multiply(y,z),x))
% 0.54/0.99 1 goal was specified, which was proved.
% 0.54/0.99 % SZS output end CNFRefutation
% 0.54/0.99 #END OF PROOF
% 0.54/0.99
% 0.54/0.99 Problem WALDMEISTER_20821_n032
% 0.54/0.99 CPs.gen 17645
% 0.54/0.99 CPs.reexp 0
% 0.54/0.99 Select 1005
% 0.54/0.99 R 257
% 0.54/0.99 E 0
% 0.54/0.99 vsize 6.6M
% 0.54/0.99 rss 4.1M
% 0.54/0.99 process.time 0.088s
% 0.54/0.99 wallclock.time 0.088s
% 0.54/0.99 status S
% 0.54/0.99
% 0.54/0.99
% 0.54/0.99 Waldmeister states: Goal proved.
% 0.54/0.99 % SZS status Unsatisfiable
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