TSTP Solution File: GRP681-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP681-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.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 12:27:51 EDT 2022
% Result : Unsatisfiable 2.30s 2.67s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP681-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 20:42:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.63/1.04 ********************************************************************************
% 0.63/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/1.04 * |/ | \/ | *
% 0.63/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/1.04 * A. Jaeger and B. Loechner | | *
% 0.63/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/1.04 ********************************************************************************
% 0.63/1.04
% 0.63/1.04
% 0.63/1.04 Goals:
% 0.63/1.04 ------
% 0.63/1.04
% 0.63/1.04 ( 1) mult(mult(mult(op_c,op_c),op_d),a) ?=? mult(a,mult(mult(op_c,op_c),op_d))
% 0.63/1.04
% 0.63/1.04 Detected structure: Loop
% 0.63/1.04 ********************************************************************************
% 0.63/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.63/1.04 ********************************************************************************
% 0.63/1.04
% 2.30/2.67 joined goal: 1 mult(mult(mult(op_c,op_c),op_d),a) ?= mult(a,mult(mult(op_c,op_c),op_d)) to mult(a,mult(op_c,mult(op_c,op_d)))
% 2.30/2.67 goal joined
% 2.30/2.67 % SZS status Unsatisfiable
% 2.30/2.67 #START OF PROOF
% 2.30/2.67 % SZS output start CNFRefutation
% 2.30/2.67 cnf('0.1.0.0',axiom,
% 2.30/2.67 ( X1 = mult(X2,ld(X2,X1)) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.1.1.0',plain,
% 2.30/2.67 ( X1 = mult(X2,ld(X2,X1)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.1.0.0']),
% 2.30/2.67 [weight('<0,0,0,[0,0,0,1]>')]).
% 2.30/2.67 cnf('0.1.2.0',plain,
% 2.30/2.67 ( mult(X1,ld(X1,X2)) = X2 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_1]).
% 2.30/2.67 cnf('0.2.0.0',axiom,
% 2.30/2.67 ( X1 = mult(X1,unit) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.2.1.0',plain,
% 2.30/2.67 ( X1 = mult(X1,unit) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.2.0.0']),
% 2.30/2.67 [weight('<1,0,0,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.2.2.0',plain,
% 2.30/2.67 ( mult(X1,unit) = X1 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_2]).
% 2.30/2.67 cnf('0.3.0.0',axiom,
% 2.30/2.67 ( X1 = mult(unit,X1) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.3.1.0',plain,
% 2.30/2.67 ( X1 = mult(unit,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.3.0.0']),
% 2.30/2.67 [weight('<2,0,0,[0,0,0,3]>')]).
% 2.30/2.67 cnf('0.3.2.0',plain,
% 2.30/2.67 ( mult(unit,X1) = X1 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_3]).
% 2.30/2.67 cnf('0.4.0.0',axiom,
% 2.30/2.67 ( X1 = mult(rd(X1,X2),X2) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.4.1.0',plain,
% 2.30/2.67 ( X1 = mult(rd(X1,X2),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.4.0.0']),
% 2.30/2.67 [weight('<3,0,0,[0,0,0,4]>')]).
% 2.30/2.67 cnf('0.4.2.0',plain,
% 2.30/2.67 ( mult(rd(X1,X2),X2) = X1 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_4]).
% 2.30/2.67 cnf('0.5.0.0',axiom,
% 2.30/2.67 ( X1 = rd(mult(X1,X2),X2) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.5.1.0',plain,
% 2.30/2.67 ( X1 = rd(mult(X1,X2),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.5.0.0']),
% 2.30/2.67 [weight('<4,0,0,[0,0,0,5]>')]).
% 2.30/2.67 cnf('0.5.2.0',plain,
% 2.30/2.67 ( rd(mult(X1,X2),X2) = X1 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_5]).
% 2.30/2.67 cnf('0.6.0.0',axiom,
% 2.30/2.67 ( X1 = ld(X2,mult(X2,X1)) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.6.1.0',plain,
% 2.30/2.67 ( X1 = ld(X2,mult(X2,X1)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.30/2.67 [weight('<5,0,0,[0,0,0,6]>')]).
% 2.30/2.67 cnf('0.6.2.0',plain,
% 2.30/2.67 ( ld(X1,mult(X1,X2)) = X2 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_6]).
% 2.30/2.67 cnf('0.7.0.0',axiom,
% 2.30/2.67 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.7.1.0',plain,
% 2.30/2.67 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.30/2.67 [weight('<6,0,0,[0,0,0,7]>')]).
% 2.30/2.67 cnf('0.7.2.0',plain,
% 2.30/2.67 ( mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_7]).
% 2.30/2.67 cnf('0.8.0.0',axiom,
% 2.30/2.67 ( mult(X1,op_d) = mult(op_d,X1) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.8.1.0',plain,
% 2.30/2.67 ( mult(X1,op_d) = mult(op_d,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.8.0.0']),
% 2.30/2.67 [weight('<7,0,0,[0,0,0,8]>')]).
% 2.30/2.67 cnf('0.8.2.0',plain,
% 2.30/2.67 ( mult(X1,op_d) = mult(op_d,X1) ),
% 2.30/2.67 inference(activate,[status(thm)],['0.8.1.0']),
% 2.30/2.67 [equation_1]).
% 2.30/2.67 cnf('0.9.0.0',axiom,
% 2.30/2.67 ( mult(X1,op_c) = mult(op_c,X1) ),
% 2.30/2.67 file('/tmp/WALDMEISTER_13372_n026')).
% 2.30/2.67 cnf('0.9.1.0',plain,
% 2.30/2.67 ( mult(X1,op_c) = mult(op_c,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.30/2.67 [weight('<8,0,0,[0,0,0,9]>')]).
% 2.30/2.67 cnf('0.9.2.0',plain,
% 2.30/2.67 ( mult(X1,op_c) = mult(op_c,X1) ),
% 2.30/2.67 inference(activate,[status(thm)],['0.9.1.0']),
% 2.30/2.67 [equation_2]).
% 2.30/2.67 cnf('0.13.0.0',plain,
% 2.30/2.67 ( unit = ld(X1,X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.13.1.0',plain,
% 2.30/2.67 ( unit = ld(X1,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.13.0.0']),
% 2.30/2.67 [weight('<19,6,2,[1,0,0,2]>')]).
% 2.30/2.67 cnf('0.13.2.0',plain,
% 2.30/2.67 ( ld(X1,X1) = unit ),
% 2.30/2.67 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_11]).
% 2.30/2.67 cnf('0.14.0.0',plain,
% 2.30/2.67 ( X1 = rd(X2,ld(X1,X2)) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.14.1.0',plain,
% 2.30/2.67 ( X1 = rd(X2,ld(X1,X2)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.14.0.0']),
% 2.30/2.67 [weight('<41,5,1,[1,0,0,1]>')]).
% 2.30/2.67 cnf('0.14.2.0',plain,
% 2.30/2.67 ( rd(X1,ld(X2,X1)) = X2 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_12]).
% 2.30/2.67 cnf('0.15.0.0',plain,
% 2.30/2.67 ( X1 = ld(rd(X2,X1),X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.15.1.0',plain,
% 2.30/2.67 ( X1 = ld(rd(X2,X1),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.15.0.0']),
% 2.30/2.67 [weight('<41,6,4,[1,0,0,2]>')]).
% 2.30/2.67 cnf('0.15.2.0',plain,
% 2.30/2.67 ( ld(rd(X1,X2),X1) = X2 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_13]).
% 2.30/2.67 cnf('0.16.0.0',plain,
% 2.30/2.67 ( mult(op_d,rd(X1,op_d)) = X1 ),
% 2.30/2.67 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 2.30/2.67 [pos('L','L')]).
% 2.30/2.67 cnf('0.16.1.0',plain,
% 2.30/2.67 ( mult(op_d,rd(X1,op_d)) = X1 ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.16.0.0']),
% 2.30/2.67 [weight('<41,8,4,[1,0,0,0]>')]).
% 2.30/2.67 cnf('0.16.2.0',plain,
% 2.30/2.67 ( mult(op_d,rd(X1,op_d)) = X1 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_14]).
% 2.30/2.67 cnf('0.17.0.0',plain,
% 2.30/2.67 ( rd(X1,op_d) = ld(op_d,X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.16.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.17.1.0',plain,
% 2.30/2.67 ( rd(X1,op_d) = ld(op_d,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.17.0.0']),
% 2.30/2.67 [weight('<27,16,6,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.17.2.0',plain,
% 2.30/2.67 ( rd(X1,op_d) = ld(op_d,X1) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_15]).
% 2.30/2.67 cnf('0.19.0.0',plain,
% 2.30/2.67 ( op_d = ld(X1,mult(op_d,X1)) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.19.1.0',plain,
% 2.30/2.67 ( op_d = ld(X1,mult(op_d,X1)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.19.0.0']),
% 2.30/2.67 [weight('<41,8,6,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.19.2.0',plain,
% 2.30/2.67 ( ld(X1,mult(op_d,X1)) = op_d ),
% 2.30/2.67 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_17]).
% 2.30/2.67 cnf('0.21.0.0',plain,
% 2.30/2.67 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 2.30/2.67 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 2.30/2.67 [pos('L','L')]).
% 2.30/2.67 cnf('0.21.1.0',plain,
% 2.30/2.67 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.21.0.0']),
% 2.30/2.67 [weight('<41,9,4,[1,0,0,0]>')]).
% 2.30/2.67 cnf('0.21.2.0',plain,
% 2.30/2.67 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_19]).
% 2.30/2.67 cnf('0.22.0.0',plain,
% 2.30/2.67 ( rd(X1,op_c) = ld(op_c,X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.21.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.22.1.0',plain,
% 2.30/2.67 ( rd(X1,op_c) = ld(op_c,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.22.0.0']),
% 2.30/2.67 [weight('<27,21,6,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.22.2.0',plain,
% 2.30/2.67 ( rd(X1,op_c) = ld(op_c,X1) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_20]).
% 2.30/2.67 cnf('0.24.0.0',plain,
% 2.30/2.67 ( op_c = ld(X1,mult(op_c,X1)) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.24.1.0',plain,
% 2.30/2.67 ( op_c = ld(X1,mult(op_c,X1)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.24.0.0']),
% 2.30/2.67 [weight('<41,9,6,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.24.2.0',plain,
% 2.30/2.67 ( ld(X1,mult(op_c,X1)) = op_c ),
% 2.30/2.67 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_22]).
% 2.30/2.67 cnf('0.26.0.0',plain,
% 2.30/2.67 ( op_d = ld(ld(op_d,X1),X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.15.2.0','0.17.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.26.1.0',plain,
% 2.30/2.67 ( op_d = ld(ld(op_d,X1),X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.26.0.0']),
% 2.30/2.67 [weight('<41,17,15,[0,0,0,1]>')]).
% 2.30/2.67 cnf('0.26.2.0',plain,
% 2.30/2.67 ( ld(ld(op_d,X1),X1) = op_d ),
% 2.30/2.67 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_24]).
% 2.30/2.67 cnf('0.27.0.0',plain,
% 2.30/2.67 ( op_c = ld(ld(op_c,X1),X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.15.2.0','0.22.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.27.1.0',plain,
% 2.30/2.67 ( op_c = ld(ld(op_c,X1),X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.27.0.0']),
% 2.30/2.67 [weight('<41,22,15,[0,0,0,1]>')]).
% 2.30/2.67 cnf('0.27.2.0',plain,
% 2.30/2.67 ( ld(ld(op_c,X1),X1) = op_c ),
% 2.30/2.67 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_25]).
% 2.30/2.67 cnf('0.28.0.0',plain,
% 2.30/2.67 ( mult(X1,mult(unit,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1.2','L')]).
% 2.30/2.67 cnf('0.28.0.1',plain,
% 2.30/2.67 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 2.30/2.67 inference(reduction,[status(thm)],['0.28.0.0','0.3.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.28.1.0',plain,
% 2.30/2.67 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.28.0.1']),
% 2.30/2.67 [weight('<65,7,3,[1,0,0,3]>')]).
% 2.30/2.67 cnf('0.28.2.0',plain,
% 2.30/2.67 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_26]).
% 2.30/2.67 cnf('0.65.0.0',plain,
% 2.30/2.67 ( mult(op_d,mult(X1,mult(op_d,X2))) = mult(mult(op_d,mult(op_d,X1)),X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1.2','L')]).
% 2.30/2.67 cnf('0.65.1.0',plain,
% 2.30/2.67 ( mult(op_d,mult(X1,mult(op_d,X2))) = mult(mult(op_d,mult(op_d,X1)),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.65.0.0']),
% 2.30/2.67 [weight('<119,8,7,[0,0,0,3]>')]).
% 2.30/2.67 cnf('0.65.2.0',plain,
% 2.30/2.67 ( mult(mult(op_d,mult(op_d,X1)),X2) = mult(op_d,mult(X1,mult(op_d,X2))) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_63]).
% 2.30/2.67 cnf('0.67.0.0',plain,
% 2.30/2.67 ( mult(op_c,mult(X1,mult(op_c,X2))) = mult(mult(op_c,mult(op_c,X1)),X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1.2','L')]).
% 2.30/2.67 cnf('0.67.1.0',plain,
% 2.30/2.67 ( mult(op_c,mult(X1,mult(op_c,X2))) = mult(mult(op_c,mult(op_c,X1)),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.67.0.0']),
% 2.30/2.67 [weight('<119,9,7,[0,0,0,3]>')]).
% 2.30/2.67 cnf('0.67.2.0',plain,
% 2.30/2.67 ( mult(mult(op_c,mult(op_c,X1)),X2) = mult(op_c,mult(X1,mult(op_c,X2))) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_65]).
% 2.30/2.67 cnf('0.99.0.0',plain,
% 2.30/2.67 ( mult(op_d,mult(X1,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,X1))) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.65.2.0','0.8.2.0',theory(equality)]),
% 2.30/2.67 [pos('L','L')]).
% 2.30/2.67 cnf('0.99.1.0',plain,
% 2.30/2.67 ( mult(X1,mult(op_d,op_d)) = mult(op_d,mult(op_d,X1)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.99.0.0']),
% 2.30/2.67 [weight('<120,65,8,[1,0,0,0]>')]).
% 2.30/2.67 cnf('0.99.2.0',plain,
% 2.30/2.67 ( mult(X1,mult(op_d,op_d)) = mult(op_d,mult(op_d,X1)) ),
% 2.30/2.67 inference(activate,[status(thm)],['0.99.1.0']),
% 2.30/2.67 [equation_7]).
% 2.30/2.67 cnf('0.123.0.0',plain,
% 2.30/2.67 ( mult(op_d,mult(X1,mult(op_d,X2))) = mult(mult(X1,mult(op_d,op_d)),X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.65.2.0','0.99.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','R')]).
% 2.30/2.67 cnf('0.123.1.0',plain,
% 2.30/2.67 ( mult(op_d,mult(X1,mult(op_d,X2))) = mult(mult(X1,mult(op_d,op_d)),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.123.0.0']),
% 2.30/2.67 [weight('<119,99,65,[0,1,0,1]>')]).
% 2.30/2.67 cnf('0.123.2.0',plain,
% 2.30/2.67 ( mult(mult(X1,mult(op_d,op_d)),X2) = mult(op_d,mult(X1,mult(op_d,X2))) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_115]).
% 2.30/2.67 cnf('0.124.0.0',plain,
% 2.30/2.67 ( mult(op_c,mult(X1,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_c,X1))) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.67.2.0','0.9.2.0',theory(equality)]),
% 2.30/2.67 [pos('L','L')]).
% 2.30/2.67 cnf('0.124.1.0',plain,
% 2.30/2.67 ( mult(X1,mult(op_c,op_c)) = mult(op_c,mult(op_c,X1)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.124.0.0']),
% 2.30/2.67 [weight('<120,67,9,[1,0,0,0]>')]).
% 2.30/2.67 cnf('0.124.2.0',plain,
% 2.30/2.67 ( mult(X1,mult(op_c,op_c)) = mult(op_c,mult(op_c,X1)) ),
% 2.30/2.67 inference(activate,[status(thm)],['0.124.1.0']),
% 2.30/2.67 [equation_9]).
% 2.30/2.67 cnf('0.147.0.0',plain,
% 2.30/2.67 ( mult(op_c,mult(X1,mult(op_c,X2))) = mult(mult(X1,mult(op_c,op_c)),X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.67.2.0','0.124.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','R')]).
% 2.30/2.67 cnf('0.147.1.0',plain,
% 2.30/2.67 ( mult(op_c,mult(X1,mult(op_c,X2))) = mult(mult(X1,mult(op_c,op_c)),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.147.0.0']),
% 2.30/2.67 [weight('<119,124,67,[0,1,0,1]>')]).
% 2.30/2.67 cnf('0.147.2.0',plain,
% 2.30/2.67 ( mult(mult(X1,mult(op_c,op_c)),X2) = mult(op_c,mult(X1,mult(op_c,X2))) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_137]).
% 2.30/2.67 cnf('0.149.0.0',plain,
% 2.30/2.67 ( mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1.2','L')]).
% 2.30/2.67 cnf('0.149.1.0',plain,
% 2.30/2.67 ( mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.149.0.0']),
% 2.30/2.67 [weight('<149,7,4,[1,0,0,3]>')]).
% 2.30/2.67 cnf('0.149.2.0',plain,
% 2.30/2.67 ( mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_139]).
% 2.30/2.67 cnf('0.150.0.0',plain,
% 2.30/2.67 ( mult(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X1),X3)) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.149.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2.2','L')]).
% 2.30/2.67 cnf('0.150.1.0',plain,
% 2.30/2.67 ( mult(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X1),X3)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.150.0.0']),
% 2.30/2.67 [weight('<119,149,1,[1,0,0,6]>')]).
% 2.30/2.67 cnf('0.150.2.0',plain,
% 2.30/2.67 ( mult(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X1),X3)) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_140]).
% 2.30/2.67 cnf('0.151.0.0',plain,
% 2.30/2.67 ( mult(X1,mult(rd(unit,X1),X2)) = mult(X1,ld(X1,X2)) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.150.2.0','0.2.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.151.0.1',plain,
% 2.30/2.67 ( mult(X1,mult(rd(unit,X1),X2)) = X2 ),
% 2.30/2.67 inference(reduction,[status(thm)],['0.151.0.0','0.1.2.0',theory(equality)]),
% 2.30/2.67 [pos('R','L')]).
% 2.30/2.67 cnf('0.151.1.0',plain,
% 2.30/2.67 ( mult(X1,mult(rd(unit,X1),X2)) = X2 ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.151.0.1']),
% 2.30/2.67 [weight('<71,150,2,[1,0,0,1]>')]).
% 2.30/2.67 cnf('0.151.2.0',plain,
% 2.30/2.67 ( mult(X1,mult(rd(unit,X1),X2)) = X2 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_141]).
% 2.30/2.67 cnf('0.152.0.0',plain,
% 2.30/2.67 ( unit = mult(X1,rd(unit,X1)) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.151.2.0','0.2.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.152.1.0',plain,
% 2.30/2.67 ( unit = mult(X1,rd(unit,X1)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.152.0.0']),
% 2.30/2.67 [weight('<41,151,2,[1,0,0,2]>')]).
% 2.30/2.67 cnf('0.152.2.0',plain,
% 2.30/2.67 ( mult(X1,rd(unit,X1)) = unit ),
% 2.30/2.67 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_142]).
% 2.30/2.67 cnf('0.153.0.0',plain,
% 2.30/2.67 ( rd(unit,X1) = ld(X1,unit) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.152.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.153.1.0',plain,
% 2.30/2.67 ( rd(unit,X1) = ld(X1,unit) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.153.0.0']),
% 2.30/2.67 [weight('<27,152,6,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.153.2.0',plain,
% 2.30/2.67 ( rd(unit,X1) = ld(X1,unit) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_143]).
% 2.30/2.67 cnf('0.156.0.0',plain,
% 2.30/2.67 ( mult(X1,mult(rd(unit,X1),X2)) = X2 ),
% 2.30/2.67 inference(interreduction_right,[status(thm)],['0.151.2.0'])).
% 2.30/2.67 cnf('0.156.0.1',plain,
% 2.30/2.67 ( mult(X1,mult(ld(X1,unit),X2)) = X2 ),
% 2.30/2.67 inference(reduction,[status(thm)],['0.156.0.0','0.153.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2.1','L')]).
% 2.30/2.67 cnf('0.156.1.0',plain,
% 2.30/2.67 ( mult(X1,mult(ld(X1,unit),X2)) = X2 ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.156.0.1']),
% 2.30/2.67 [weight('<71,151,153,[0,0,0,0]>')]).
% 2.30/2.67 cnf('0.156.2.0',plain,
% 2.30/2.67 ( mult(X1,mult(ld(X1,unit),X2)) = X2 ),
% 2.30/2.67 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_146]).
% 2.30/2.67 cnf('0.157.0.0',plain,
% 2.30/2.67 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.156.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.157.1.0',plain,
% 2.30/2.67 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.157.0.0']),
% 2.30/2.67 [weight('<53,156,1,[1,0,0,2]>')]).
% 2.30/2.67 cnf('0.157.2.0',plain,
% 2.30/2.67 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_147]).
% 2.30/2.67 cnf('0.158.0.0',plain,
% 2.30/2.67 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.6.2.0','0.156.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.158.1.0',plain,
% 2.30/2.67 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.158.0.0']),
% 2.30/2.67 [weight('<53,156,6,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.158.2.0',plain,
% 2.30/2.67 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_148]).
% 2.30/2.67 cnf('0.159.0.0',plain,
% 2.30/2.67 ( ld(X1,unit) = rd(X2,mult(X1,X2)) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.14.2.0','0.157.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.159.1.0',plain,
% 2.30/2.67 ( ld(X1,unit) = rd(X2,mult(X1,X2)) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.159.0.0']),
% 2.30/2.67 [weight('<53,157,14,[0,0,0,2]>')]).
% 2.30/2.67 cnf('0.159.2.0',plain,
% 2.30/2.67 ( rd(X1,mult(X2,X1)) = ld(X2,unit) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_149]).
% 2.30/2.67 cnf('0.160.0.0',plain,
% 2.30/2.67 ( ld(X1,unit) = rd(ld(X1,X2),X2) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.5.2.0','0.158.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.160.1.0',plain,
% 2.30/2.67 ( ld(X1,unit) = rd(ld(X1,X2),X2) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.160.0.0']),
% 2.30/2.67 [weight('<53,158,5,[0,0,0,1]>')]).
% 2.30/2.67 cnf('0.160.2.0',plain,
% 2.30/2.67 ( rd(ld(X1,X2),X2) = ld(X1,unit) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 2.30/2.67 [x,rule_150]).
% 2.30/2.67 cnf('0.165.0.0',plain,
% 2.30/2.67 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.159.2.0','0.4.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.2','L')]).
% 2.30/2.67 cnf('0.165.1.0',plain,
% 2.30/2.67 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.165.0.0']),
% 2.30/2.67 [weight('<53,159,4,[1,0,0,2]>')]).
% 2.30/2.67 cnf('0.165.2.0',plain,
% 2.30/2.67 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_155]).
% 2.30/2.67 cnf('0.170.0.0',plain,
% 2.30/2.67 ( ld(ld(op_d,X1),unit) = rd(op_d,X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.160.2.0','0.26.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.170.1.0',plain,
% 2.30/2.67 ( ld(ld(op_d,X1),unit) = rd(op_d,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.170.0.0']),
% 2.30/2.67 [weight('<53,160,26,[1,0,0,1]>')]).
% 2.30/2.67 cnf('0.170.2.0',plain,
% 2.30/2.67 ( ld(ld(op_d,X1),unit) = rd(op_d,X1) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_160]).
% 2.30/2.67 cnf('0.171.0.0',plain,
% 2.30/2.67 ( ld(ld(op_c,X1),unit) = rd(op_c,X1) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.160.2.0','0.27.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.171.1.0',plain,
% 2.30/2.67 ( ld(ld(op_c,X1),unit) = rd(op_c,X1) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.171.0.0']),
% 2.30/2.67 [weight('<53,160,27,[1,0,0,1]>')]).
% 2.30/2.67 cnf('0.171.2.0',plain,
% 2.30/2.67 ( ld(ld(op_c,X1),unit) = rd(op_c,X1) ),
% 2.30/2.67 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 2.30/2.67 [u,rule_161]).
% 2.30/2.67 cnf('0.175.0.0',plain,
% 2.30/2.67 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 2.30/2.67 inference(cp,[status(thm)],['0.157.2.0','0.165.2.0',theory(equality)]),
% 2.30/2.67 [pos('L.1','L')]).
% 2.30/2.67 cnf('0.175.1.0',plain,
% 2.30/2.67 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 2.30/2.67 inference(weigh,[status(thm)],['0.175.0.0']),
% 2.30/2.67 [weight('<65,165,157,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.175.2.0',plain,
% 2.30/2.68 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.175.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_165]).
% 2.30/2.68 cnf('0.178.0.0',plain,
% 2.30/2.68 ( mult(ld(op_d,X1),X2) = ld(rd(op_d,X1),X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.157.2.0','0.170.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.178.1.0',plain,
% 2.30/2.68 ( mult(ld(op_d,X1),X2) = ld(rd(op_d,X1),X2) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.178.0.0']),
% 2.30/2.68 [weight('<65,170,157,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.178.2.0',plain,
% 2.30/2.68 ( mult(ld(op_d,X1),X2) = ld(rd(op_d,X1),X2) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_168]).
% 2.30/2.68 cnf('0.179.0.0',plain,
% 2.30/2.68 ( mult(ld(op_c,X1),X2) = ld(rd(op_c,X1),X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.157.2.0','0.171.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.179.1.0',plain,
% 2.30/2.68 ( mult(ld(op_c,X1),X2) = ld(rd(op_c,X1),X2) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.179.0.0']),
% 2.30/2.68 [weight('<65,171,157,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.179.2.0',plain,
% 2.30/2.68 ( mult(ld(op_c,X1),X2) = ld(rd(op_c,X1),X2) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_169]).
% 2.30/2.68 cnf('0.256.0.0',plain,
% 2.30/2.68 ( mult(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X1),X3)) ),
% 2.30/2.68 inference(interreduction_right,[status(thm)],['0.150.2.0'])).
% 2.30/2.68 cnf('0.256.0.1',plain,
% 2.30/2.68 ( mult(mult(X1,X2),ld(X1,X3)) = mult(X1,ld(rd(X1,X2),X3)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.256.0.0','0.175.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.2','L')]).
% 2.30/2.68 cnf('0.256.1.0',plain,
% 2.30/2.68 ( mult(mult(X1,X2),ld(X1,X3)) = mult(X1,ld(rd(X1,X2),X3)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.256.0.1']),
% 2.30/2.68 [weight('<119,150,175,[0,0,0,0]>')]).
% 2.30/2.68 cnf('0.256.2.0',plain,
% 2.30/2.68 ( mult(mult(X1,X2),ld(X1,X3)) = mult(X1,ld(rd(X1,X2),X3)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.256.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_246]).
% 2.30/2.68 cnf('0.257.0.0',plain,
% 2.30/2.68 ( mult(X1,mult(ld(X2,unit),mult(X1,X3))) = mult(mult(X1,ld(X2,X1)),X3) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.7.2.0','0.158.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1.2','L')]).
% 2.30/2.68 cnf('0.257.0.1',plain,
% 2.30/2.68 ( mult(X1,ld(X2,mult(X1,X3))) = mult(mult(X1,ld(X2,X1)),X3) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.257.0.0','0.158.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.257.1.0',plain,
% 2.30/2.68 ( mult(X1,ld(X2,mult(X1,X3))) = mult(mult(X1,ld(X2,X1)),X3) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.257.0.1']),
% 2.30/2.68 [weight('<119,158,7,[0,0,0,3]>')]).
% 2.30/2.68 cnf('0.257.2.0',plain,
% 2.30/2.68 ( mult(mult(X1,ld(X2,X1)),X3) = mult(X1,ld(X2,mult(X1,X3))) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.257.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_247]).
% 2.30/2.68 cnf('0.261.0.0',plain,
% 2.30/2.68 ( mult(op_d,mult(ld(X1,unit),mult(op_d,X2))) = mult(ld(X1,mult(op_d,op_d)),X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.123.2.0','0.158.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.261.0.1',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,mult(op_d,X2))) = mult(ld(X1,mult(op_d,op_d)),X2) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.261.0.0','0.158.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.261.1.0',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,mult(op_d,X2))) = mult(ld(X1,mult(op_d,op_d)),X2) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.261.0.1']),
% 2.30/2.68 [weight('<119,158,123,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.261.2.0',plain,
% 2.30/2.68 ( mult(ld(X1,mult(op_d,op_d)),X2) = mult(op_d,ld(X1,mult(op_d,X2))) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.261.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_251]).
% 2.30/2.68 cnf('0.262.0.0',plain,
% 2.30/2.68 ( mult(op_c,mult(ld(X1,unit),mult(op_c,X2))) = mult(ld(X1,mult(op_c,op_c)),X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.147.2.0','0.158.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.262.0.1',plain,
% 2.30/2.68 ( mult(op_c,ld(X1,mult(op_c,X2))) = mult(ld(X1,mult(op_c,op_c)),X2) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.262.0.0','0.158.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.262.1.0',plain,
% 2.30/2.68 ( mult(op_c,ld(X1,mult(op_c,X2))) = mult(ld(X1,mult(op_c,op_c)),X2) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.262.0.1']),
% 2.30/2.68 [weight('<119,158,147,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.262.2.0',plain,
% 2.30/2.68 ( mult(ld(X1,mult(op_c,op_c)),X2) = mult(op_c,ld(X1,mult(op_c,X2))) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.262.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_252]).
% 2.30/2.68 cnf('0.369.0.0',plain,
% 2.30/2.68 ( mult(op_d,mult(ld(op_d,X1),mult(op_d,X2))) = mult(mult(op_d,X1),X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.65.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1.2','L')]).
% 2.30/2.68 cnf('0.369.1.0',plain,
% 2.30/2.68 ( mult(op_d,mult(ld(op_d,X1),mult(op_d,X2))) = mult(mult(op_d,X1),X2) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.369.0.0']),
% 2.30/2.68 [weight('<149,65,1,[1,0,0,3]>')]).
% 2.30/2.68 cnf('0.369.1.1',plain,
% 2.30/2.68 ( mult(op_d,ld(rd(op_d,X1),mult(op_d,X2))) = mult(mult(op_d,X1),X2) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.369.1.0','0.178.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.369.2.0',plain,
% 2.30/2.68 ( mult(op_d,ld(rd(op_d,X1),mult(op_d,X2))) = mult(mult(op_d,X1),X2) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.369.1.1',theory(equality)]),
% 2.30/2.68 [u,rule_359]).
% 2.30/2.68 cnf('0.370.0.0',plain,
% 2.30/2.68 ( mult(mult(op_d,X1),rd(op_d,X1)) = mult(op_d,op_d) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.369.2.0','0.19.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.370.1.0',plain,
% 2.30/2.68 ( mult(mult(op_d,X1),rd(op_d,X1)) = mult(op_d,op_d) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.370.0.0']),
% 2.30/2.68 [weight('<87,369,19,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.370.2.0',plain,
% 2.30/2.68 ( mult(mult(op_d,X1),rd(op_d,X1)) = mult(op_d,op_d) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.370.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_360]).
% 2.30/2.68 cnf('0.371.0.0',plain,
% 2.30/2.68 ( mult(op_d,op_d) = mult(X1,rd(op_d,ld(op_d,X1))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.370.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.371.1.0',plain,
% 2.30/2.68 ( mult(op_d,op_d) = mult(X1,rd(op_d,ld(op_d,X1))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.371.0.0']),
% 2.30/2.68 [weight('<87,370,1,[1,0,0,1]>')]).
% 2.30/2.68 cnf('0.371.2.0',plain,
% 2.30/2.68 ( mult(X1,rd(op_d,ld(op_d,X1))) = mult(op_d,op_d) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.371.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_361]).
% 2.30/2.68 cnf('0.372.0.0',plain,
% 2.30/2.68 ( rd(op_d,ld(op_d,X1)) = ld(X1,mult(op_d,op_d)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.371.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.372.1.0',plain,
% 2.30/2.68 ( rd(op_d,ld(op_d,X1)) = ld(X1,mult(op_d,op_d)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.372.0.0']),
% 2.30/2.68 [weight('<65,371,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.372.2.0',plain,
% 2.30/2.68 ( rd(op_d,ld(op_d,X1)) = ld(X1,mult(op_d,op_d)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.372.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_362]).
% 2.30/2.68 cnf('0.382.0.0',plain,
% 2.30/2.68 ( rd(ld(op_d,X1),op_d) = ld(ld(X1,mult(op_d,op_d)),unit) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.165.2.0','0.372.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.382.0.1',plain,
% 2.30/2.68 ( ld(op_d,ld(op_d,X1)) = ld(ld(X1,mult(op_d,op_d)),unit) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.382.0.0','0.17.2.0',theory(equality)]),
% 2.30/2.68 [pos('L','L')]).
% 2.30/2.68 cnf('0.382.1.0',plain,
% 2.30/2.68 ( ld(op_d,ld(op_d,X1)) = ld(ld(X1,mult(op_d,op_d)),unit) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.382.0.1']),
% 2.30/2.68 [weight('<103,372,165,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.382.2.0',plain,
% 2.30/2.68 ( ld(ld(X1,mult(op_d,op_d)),unit) = ld(op_d,ld(op_d,X1)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.382.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_372]).
% 2.30/2.68 cnf('0.383.0.0',plain,
% 2.30/2.68 ( unit = mult(ld(X1,mult(op_d,op_d)),ld(op_d,ld(op_d,X1))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.1.2.0','0.382.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.383.0.1',plain,
% 2.30/2.68 ( unit = mult(op_d,ld(X1,mult(op_d,ld(op_d,ld(op_d,X1))))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.383.0.0','0.261.2.0',theory(equality)]),
% 2.30/2.68 [pos('R','L')]).
% 2.30/2.68 cnf('0.383.0.2',plain,
% 2.30/2.68 ( unit = mult(op_d,ld(X1,ld(op_d,X1))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.383.0.1','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.2.2','L')]).
% 2.30/2.68 cnf('0.383.1.0',plain,
% 2.30/2.68 ( unit = mult(op_d,ld(X1,ld(op_d,X1))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.383.0.2']),
% 2.30/2.68 [weight('<71,382,1,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.383.2.0',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,ld(op_d,X1))) = unit ),
% 2.30/2.68 inference(orient,[status(thm)],['0.383.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_373]).
% 2.30/2.68 cnf('0.384.0.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,X1)) = ld(op_d,unit) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.383.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.384.1.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,X1)) = ld(op_d,unit) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.384.0.0']),
% 2.30/2.68 [weight('<53,383,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.384.2.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,X1)) = ld(op_d,unit) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.384.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_374]).
% 2.30/2.68 cnf('0.385.0.0',plain,
% 2.30/2.68 ( ld(op_d,X1) = mult(X1,ld(op_d,unit)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.1.2.0','0.384.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.385.1.0',plain,
% 2.30/2.68 ( ld(op_d,X1) = mult(X1,ld(op_d,unit)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.385.0.0']),
% 2.30/2.68 [weight('<53,384,1,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.385.2.0',plain,
% 2.30/2.68 ( mult(X1,ld(op_d,unit)) = ld(op_d,X1) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.385.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_375]).
% 2.30/2.68 cnf('0.413.0.0',plain,
% 2.30/2.68 ( ld(rd(op_d,X1),mult(op_d,X2)) = ld(op_d,mult(mult(op_d,X1),X2)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.369.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.413.1.0',plain,
% 2.30/2.68 ( ld(rd(op_d,X1),mult(op_d,X2)) = ld(op_d,mult(mult(op_d,X1),X2)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.413.0.0']),
% 2.30/2.68 [weight('<119,369,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.413.2.0',plain,
% 2.30/2.68 ( ld(rd(op_d,X1),mult(op_d,X2)) = ld(op_d,mult(mult(op_d,X1),X2)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.413.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_403]).
% 2.30/2.68 cnf('0.415.0.0',plain,
% 2.30/2.68 ( ld(rd(ld(op_d,X1),op_d),X2) = mult(ld(X1,mult(op_d,op_d)),X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.175.2.0','0.372.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.415.0.1',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),X2) = mult(ld(X1,mult(op_d,op_d)),X2) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.415.0.0','0.17.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.415.0.2',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),X2) = mult(op_d,ld(X1,mult(op_d,X2))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.415.0.1','0.261.2.0',theory(equality)]),
% 2.30/2.68 [pos('R','L')]).
% 2.30/2.68 cnf('0.415.1.0',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),X2) = mult(op_d,ld(X1,mult(op_d,X2))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.415.0.2']),
% 2.30/2.68 [weight('<119,372,175,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.415.2.0',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,mult(op_d,X2))) = ld(ld(op_d,ld(op_d,X1)),X2) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.415.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_405]).
% 2.30/2.68 cnf('0.467.0.0',plain,
% 2.30/2.68 ( ld(op_d,mult(mult(op_d,X1),X2)) = ld(rd(op_d,X1),mult(X2,op_d)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.413.2.0','0.8.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','R')]).
% 2.30/2.68 cnf('0.467.1.0',plain,
% 2.30/2.68 ( ld(op_d,mult(mult(op_d,X1),X2)) = ld(rd(op_d,X1),mult(X2,op_d)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.467.0.0']),
% 2.30/2.68 [weight('<119,413,8,[1,0,1,4]>')]).
% 2.30/2.68 cnf('0.467.2.0',plain,
% 2.30/2.68 ( ld(rd(op_d,X1),mult(X2,op_d)) = ld(op_d,mult(mult(op_d,X1),X2)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.467.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_456]).
% 2.30/2.68 cnf('0.469.0.0',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),X2) = mult(op_d,ld(X1,mult(X2,op_d))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.415.2.0','0.8.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2.2','R')]).
% 2.30/2.68 cnf('0.469.1.0',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),X2) = mult(op_d,ld(X1,mult(X2,op_d))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.469.0.0']),
% 2.30/2.68 [weight('<119,415,8,[1,0,1,4]>')]).
% 2.30/2.68 cnf('0.469.2.0',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,mult(X2,op_d))) = ld(ld(op_d,ld(op_d,X1)),X2) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.469.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_458]).
% 2.30/2.68 cnf('0.515.0.0',plain,
% 2.30/2.68 ( mult(op_c,mult(ld(op_c,X1),mult(op_c,X2))) = mult(mult(op_c,X1),X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.67.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1.2','L')]).
% 2.30/2.68 cnf('0.515.1.0',plain,
% 2.30/2.68 ( mult(op_c,mult(ld(op_c,X1),mult(op_c,X2))) = mult(mult(op_c,X1),X2) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.515.0.0']),
% 2.30/2.68 [weight('<149,67,1,[1,0,0,3]>')]).
% 2.30/2.68 cnf('0.515.1.1',plain,
% 2.30/2.68 ( mult(op_c,ld(rd(op_c,X1),mult(op_c,X2))) = mult(mult(op_c,X1),X2) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.515.1.0','0.179.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.515.2.0',plain,
% 2.30/2.68 ( mult(op_c,ld(rd(op_c,X1),mult(op_c,X2))) = mult(mult(op_c,X1),X2) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.515.1.1',theory(equality)]),
% 2.30/2.68 [u,rule_503]).
% 2.30/2.68 cnf('0.516.0.0',plain,
% 2.30/2.68 ( mult(mult(op_c,X1),rd(op_c,X1)) = mult(op_c,op_c) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.515.2.0','0.24.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.516.1.0',plain,
% 2.30/2.68 ( mult(mult(op_c,X1),rd(op_c,X1)) = mult(op_c,op_c) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.516.0.0']),
% 2.30/2.68 [weight('<87,515,24,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.516.2.0',plain,
% 2.30/2.68 ( mult(mult(op_c,X1),rd(op_c,X1)) = mult(op_c,op_c) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_504]).
% 2.30/2.68 cnf('0.517.0.0',plain,
% 2.30/2.68 ( mult(op_c,op_c) = mult(X1,rd(op_c,ld(op_c,X1))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.516.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.517.1.0',plain,
% 2.30/2.68 ( mult(op_c,op_c) = mult(X1,rd(op_c,ld(op_c,X1))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.517.0.0']),
% 2.30/2.68 [weight('<87,516,1,[1,0,0,1]>')]).
% 2.30/2.68 cnf('0.517.2.0',plain,
% 2.30/2.68 ( mult(X1,rd(op_c,ld(op_c,X1))) = mult(op_c,op_c) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.517.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_505]).
% 2.30/2.68 cnf('0.518.0.0',plain,
% 2.30/2.68 ( rd(op_c,ld(op_c,X1)) = ld(X1,mult(op_c,op_c)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.517.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.518.1.0',plain,
% 2.30/2.68 ( rd(op_c,ld(op_c,X1)) = ld(X1,mult(op_c,op_c)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.518.0.0']),
% 2.30/2.68 [weight('<65,517,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.518.2.0',plain,
% 2.30/2.68 ( rd(op_c,ld(op_c,X1)) = ld(X1,mult(op_c,op_c)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.518.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_506]).
% 2.30/2.68 cnf('0.528.0.0',plain,
% 2.30/2.68 ( rd(ld(op_c,X1),op_c) = ld(ld(X1,mult(op_c,op_c)),unit) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.165.2.0','0.518.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.528.0.1',plain,
% 2.30/2.68 ( ld(op_c,ld(op_c,X1)) = ld(ld(X1,mult(op_c,op_c)),unit) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.528.0.0','0.22.2.0',theory(equality)]),
% 2.30/2.68 [pos('L','L')]).
% 2.30/2.68 cnf('0.528.1.0',plain,
% 2.30/2.68 ( ld(op_c,ld(op_c,X1)) = ld(ld(X1,mult(op_c,op_c)),unit) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.528.0.1']),
% 2.30/2.68 [weight('<103,518,165,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.528.2.0',plain,
% 2.30/2.68 ( ld(ld(X1,mult(op_c,op_c)),unit) = ld(op_c,ld(op_c,X1)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.528.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_516]).
% 2.30/2.68 cnf('0.529.0.0',plain,
% 2.30/2.68 ( unit = mult(ld(X1,mult(op_c,op_c)),ld(op_c,ld(op_c,X1))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.1.2.0','0.528.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.529.0.1',plain,
% 2.30/2.68 ( unit = mult(op_c,ld(X1,mult(op_c,ld(op_c,ld(op_c,X1))))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.529.0.0','0.262.2.0',theory(equality)]),
% 2.30/2.68 [pos('R','L')]).
% 2.30/2.68 cnf('0.529.0.2',plain,
% 2.30/2.68 ( unit = mult(op_c,ld(X1,ld(op_c,X1))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.529.0.1','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.2.2','L')]).
% 2.30/2.68 cnf('0.529.1.0',plain,
% 2.30/2.68 ( unit = mult(op_c,ld(X1,ld(op_c,X1))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.529.0.2']),
% 2.30/2.68 [weight('<71,528,1,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.529.2.0',plain,
% 2.30/2.68 ( mult(op_c,ld(X1,ld(op_c,X1))) = unit ),
% 2.30/2.68 inference(orient,[status(thm)],['0.529.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_517]).
% 2.30/2.68 cnf('0.530.0.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_c,X1)) = ld(op_c,unit) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.529.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.530.1.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_c,X1)) = ld(op_c,unit) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.530.0.0']),
% 2.30/2.68 [weight('<53,529,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.530.2.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_c,X1)) = ld(op_c,unit) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.530.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_518]).
% 2.30/2.68 cnf('0.532.0.0',plain,
% 2.30/2.68 ( ld(op_c,unit) = ld(mult(op_c,X1),X1) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.530.2.0','0.6.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.532.1.0',plain,
% 2.30/2.68 ( ld(op_c,unit) = ld(mult(op_c,X1),X1) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.532.0.0']),
% 2.30/2.68 [weight('<53,530,6,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.532.2.0',plain,
% 2.30/2.68 ( ld(mult(op_c,X1),X1) = ld(op_c,unit) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.532.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_520]).
% 2.30/2.68 cnf('0.534.0.0',plain,
% 2.30/2.68 ( mult(op_c,X1) = rd(X1,ld(op_c,unit)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.14.2.0','0.532.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.534.1.0',plain,
% 2.30/2.68 ( mult(op_c,X1) = rd(X1,ld(op_c,unit)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.534.0.0']),
% 2.30/2.68 [weight('<53,532,14,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.534.2.0',plain,
% 2.30/2.68 ( rd(X1,ld(op_c,unit)) = mult(op_c,X1) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.534.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_522]).
% 2.30/2.68 cnf('0.652.0.0',plain,
% 2.30/2.68 ( mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3) ),
% 2.30/2.68 inference(interreduction_right,[status(thm)],['0.149.2.0'])).
% 2.30/2.68 cnf('0.652.0.1',plain,
% 2.30/2.68 ( mult(X1,ld(rd(X1,X2),mult(X1,X3))) = mult(mult(X1,X2),X3) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.652.0.0','0.175.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.652.1.0',plain,
% 2.30/2.68 ( mult(X1,ld(rd(X1,X2),mult(X1,X3))) = mult(mult(X1,X2),X3) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.652.0.1']),
% 2.30/2.68 [weight('<149,149,175,[0,0,0,0]>')]).
% 2.30/2.68 cnf('0.652.2.0',plain,
% 2.30/2.68 ( mult(X1,ld(rd(X1,X2),mult(X1,X3))) = mult(mult(X1,X2),X3) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.652.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_638]).
% 2.30/2.68 cnf('0.653.0.0',plain,
% 2.30/2.68 ( ld(rd(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X1,X2),X3)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.652.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.653.1.0',plain,
% 2.30/2.68 ( ld(rd(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X1,X2),X3)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.653.0.0']),
% 2.30/2.68 [weight('<119,652,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.653.2.0',plain,
% 2.30/2.68 ( ld(rd(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X1,X2),X3)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.653.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_639]).
% 2.30/2.68 cnf('0.660.0.0',plain,
% 2.30/2.68 ( ld(X1,mult(mult(X1,X2),ld(op_d,unit))) = ld(rd(X1,X2),ld(op_d,X1)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.653.2.0','0.385.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.660.0.1',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,mult(X1,X2))) = ld(rd(X1,X2),ld(op_d,X1)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.660.0.0','0.385.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.660.1.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,mult(X1,X2))) = ld(rd(X1,X2),ld(op_d,X1)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.660.0.1']),
% 2.30/2.68 [weight('<119,653,385,[1,0,0,4]>')]).
% 2.30/2.68 cnf('0.660.2.0',plain,
% 2.30/2.68 ( ld(rd(X1,X2),ld(op_d,X1)) = ld(X1,ld(op_d,mult(X1,X2))) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.660.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_646]).
% 2.30/2.68 cnf('0.714.0.0',plain,
% 2.30/2.68 ( mult(X1,ld(rd(X1,ld(X1,X2)),X3)) = mult(X2,ld(X1,X3)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.256.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.714.1.0',plain,
% 2.30/2.68 ( mult(X1,ld(rd(X1,ld(X1,X2)),X3)) = mult(X2,ld(X1,X3)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.714.0.0']),
% 2.30/2.68 [weight('<149,256,1,[1,0,0,1]>')]).
% 2.30/2.68 cnf('0.714.2.0',plain,
% 2.30/2.68 ( mult(X1,ld(rd(X1,ld(X1,X2)),X3)) = mult(X2,ld(X1,X3)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.714.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_699]).
% 2.30/2.68 cnf('0.715.0.0',plain,
% 2.30/2.68 ( mult(X1,ld(X2,unit)) = mult(X2,rd(ld(X2,X1),X2)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.714.2.0','0.165.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.715.1.0',plain,
% 2.30/2.68 ( mult(X1,ld(X2,unit)) = mult(X2,rd(ld(X2,X1),X2)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.715.0.0']),
% 2.30/2.68 [weight('<103,714,165,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.715.2.0',plain,
% 2.30/2.68 ( mult(X1,rd(ld(X1,X2),X1)) = mult(X2,ld(X1,unit)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.715.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_700]).
% 2.30/2.68 cnf('0.716.0.0',plain,
% 2.30/2.68 ( rd(ld(X1,X2),X1) = ld(X1,mult(X2,ld(X1,unit))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.715.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.716.1.0',plain,
% 2.30/2.68 ( rd(ld(X1,X2),X1) = ld(X1,mult(X2,ld(X1,unit))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.716.0.0']),
% 2.30/2.68 [weight('<103,715,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.716.2.0',plain,
% 2.30/2.68 ( ld(X1,mult(X2,ld(X1,unit))) = rd(ld(X1,X2),X1) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.716.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_701]).
% 2.30/2.68 cnf('0.725.0.0',plain,
% 2.30/2.68 ( rd(ld(rd(unit,X1),X2),rd(unit,X1)) = ld(rd(unit,X1),mult(X2,X1)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.716.2.0','0.15.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2.2','L')]).
% 2.30/2.68 cnf('0.725.0.1',plain,
% 2.30/2.68 ( rd(ld(ld(X1,unit),X2),rd(unit,X1)) = ld(rd(unit,X1),mult(X2,X1)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.725.0.0','0.153.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1.1','L')]).
% 2.30/2.68 cnf('0.725.0.2',plain,
% 2.30/2.68 ( rd(mult(X1,X2),rd(unit,X1)) = ld(rd(unit,X1),mult(X2,X1)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.725.0.1','0.157.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.725.0.3',plain,
% 2.30/2.68 ( rd(mult(X1,X2),ld(X1,unit)) = ld(rd(unit,X1),mult(X2,X1)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.725.0.2','0.153.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.725.0.4',plain,
% 2.30/2.68 ( rd(mult(X1,X2),ld(X1,unit)) = ld(ld(X1,unit),mult(X2,X1)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.725.0.3','0.153.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.1','L')]).
% 2.30/2.68 cnf('0.725.0.5',plain,
% 2.30/2.68 ( rd(mult(X1,X2),ld(X1,unit)) = mult(X1,mult(X2,X1)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.725.0.4','0.157.2.0',theory(equality)]),
% 2.30/2.68 [pos('R','L')]).
% 2.30/2.68 cnf('0.725.1.0',plain,
% 2.30/2.68 ( rd(mult(X1,X2),ld(X1,unit)) = mult(X1,mult(X2,X1)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.725.0.5']),
% 2.30/2.68 [weight('<103,716,15,[1,0,0,4]>')]).
% 2.30/2.68 cnf('0.725.2.0',plain,
% 2.30/2.68 ( rd(mult(X1,X2),ld(X1,unit)) = mult(X1,mult(X2,X1)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.725.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_710]).
% 2.30/2.68 cnf('0.730.0.0',plain,
% 2.30/2.68 ( mult(X1,mult(ld(X1,X2),X1)) = rd(X2,ld(X1,unit)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.725.2.0','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.730.1.0',plain,
% 2.30/2.68 ( mult(X1,mult(ld(X1,X2),X1)) = rd(X2,ld(X1,unit)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.730.0.0']),
% 2.30/2.68 [weight('<103,725,1,[1,0,0,1]>')]).
% 2.30/2.68 cnf('0.730.2.0',plain,
% 2.30/2.68 ( mult(X1,mult(ld(X1,X2),X1)) = rd(X2,ld(X1,unit)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.730.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_715]).
% 2.30/2.68 cnf('0.748.0.0',plain,
% 2.30/2.68 ( mult(X1,ld(X2,rd(X2,ld(X2,X1)))) = mult(X2,unit) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.714.2.0','0.13.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.748.0.1',plain,
% 2.30/2.68 ( mult(X1,ld(X2,rd(X2,ld(X2,X1)))) = X2 ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.748.0.0','0.2.2.0',theory(equality)]),
% 2.30/2.68 [pos('R','L')]).
% 2.30/2.68 cnf('0.748.1.0',plain,
% 2.30/2.68 ( mult(X1,ld(X2,rd(X2,ld(X2,X1)))) = X2 ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.748.0.1']),
% 2.30/2.68 [weight('<109,714,13,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.748.2.0',plain,
% 2.30/2.68 ( mult(X1,ld(X2,rd(X2,ld(X2,X1)))) = X2 ),
% 2.30/2.68 inference(orient,[status(thm)],['0.748.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_733]).
% 2.30/2.68 cnf('0.749.0.0',plain,
% 2.30/2.68 ( ld(X1,rd(X1,ld(X1,X2))) = ld(X2,X1) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.6.2.0','0.748.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.749.1.0',plain,
% 2.30/2.68 ( ld(X1,rd(X1,ld(X1,X2))) = ld(X2,X1) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.749.0.0']),
% 2.30/2.68 [weight('<87,748,6,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.749.2.0',plain,
% 2.30/2.68 ( ld(X1,rd(X1,ld(X1,X2))) = ld(X2,X1) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.749.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_734]).
% 2.30/2.68 cnf('0.750.0.0',plain,
% 2.30/2.68 ( rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.1.2.0','0.749.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.750.1.0',plain,
% 2.30/2.68 ( rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.750.0.0']),
% 2.30/2.68 [weight('<65,749,1,[0,0,0,2]>')]).
% 2.30/2.68 cnf('0.750.2.0',plain,
% 2.30/2.68 ( mult(X1,ld(X2,X1)) = rd(X1,ld(X1,X2)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.750.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_735]).
% 2.30/2.68 cnf('0.752.0.0',plain,
% 2.30/2.68 ( rd(X1,ld(X1,rd(X1,X2))) = mult(X1,X2) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.750.2.0','0.15.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.752.1.0',plain,
% 2.30/2.68 ( rd(X1,ld(X1,rd(X1,X2))) = mult(X1,X2) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.752.0.0']),
% 2.30/2.68 [weight('<87,750,15,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.752.2.0',plain,
% 2.30/2.68 ( rd(X1,ld(X1,rd(X1,X2))) = mult(X1,X2) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.752.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_737]).
% 2.30/2.68 cnf('0.818.0.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,mult(X1,ld(X1,rd(X1,X2))))) = ld(mult(X1,X2),ld(op_d,X1)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.660.2.0','0.752.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.818.0.1',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,rd(X1,X2))) = ld(mult(X1,X2),ld(op_d,X1)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.818.0.0','0.1.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2.2','L')]).
% 2.30/2.68 cnf('0.818.1.0',plain,
% 2.30/2.68 ( ld(X1,ld(op_d,rd(X1,X2))) = ld(mult(X1,X2),ld(op_d,X1)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.818.0.1']),
% 2.30/2.68 [weight('<119,752,660,[0,0,0,1]>')]).
% 2.30/2.68 cnf('0.818.2.0',plain,
% 2.30/2.68 ( ld(mult(X1,X2),ld(op_d,X1)) = ld(X1,ld(op_d,rd(X1,X2))) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.818.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_802]).
% 2.30/2.68 cnf('0.837.0.0',plain,
% 2.30/2.68 ( ld(op_c,ld(op_d,rd(op_c,X1))) = ld(mult(X1,op_c),ld(op_d,op_c)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.818.2.0','0.9.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','R')]).
% 2.30/2.68 cnf('0.837.1.0',plain,
% 2.30/2.68 ( ld(op_c,ld(op_d,rd(op_c,X1))) = ld(mult(X1,op_c),ld(op_d,op_c)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.837.0.0']),
% 2.30/2.68 [weight('<119,818,9,[1,0,1,1]>')]).
% 2.30/2.68 cnf('0.837.2.0',plain,
% 2.30/2.68 ( ld(mult(X1,op_c),ld(op_d,op_c)) = ld(op_c,ld(op_d,rd(op_c,X1))) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.837.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_821]).
% 2.30/2.68 cnf('0.904.0.0',plain,
% 2.30/2.68 ( ld(op_d,mult(mult(op_d,ld(X1,op_d)),X2)) = ld(X1,mult(X2,op_d)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.467.2.0','0.14.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.904.0.1',plain,
% 2.30/2.68 ( ld(op_d,mult(op_d,ld(X1,mult(op_d,X2)))) = ld(X1,mult(X2,op_d)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.904.0.0','0.257.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.904.0.2',plain,
% 2.30/2.68 ( ld(op_d,ld(ld(op_d,ld(op_d,X1)),X2)) = ld(X1,mult(X2,op_d)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.904.0.1','0.415.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.904.1.0',plain,
% 2.30/2.68 ( ld(op_d,ld(ld(op_d,ld(op_d,X1)),X2)) = ld(X1,mult(X2,op_d)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.904.0.2']),
% 2.30/2.68 [weight('<149,467,14,[1,0,0,1]>')]).
% 2.30/2.68 cnf('0.904.2.0',plain,
% 2.30/2.68 ( ld(op_d,ld(ld(op_d,ld(op_d,X1)),X2)) = ld(X1,mult(X2,op_d)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.904.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_887]).
% 2.30/2.68 cnf('0.909.0.0',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),ld(op_d,X2)) = mult(op_d,ld(X1,ld(rd(op_d,X2),op_d))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.469.2.0','0.178.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2.2','L')]).
% 2.30/2.68 cnf('0.909.0.1',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),ld(op_d,X2)) = mult(op_d,ld(X1,X2)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.909.0.0','0.15.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.2.2','L')]).
% 2.30/2.68 cnf('0.909.1.0',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),ld(op_d,X2)) = mult(op_d,ld(X1,X2)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.909.0.1']),
% 2.30/2.68 [weight('<149,469,178,[1,0,0,4]>')]).
% 2.30/2.68 cnf('0.909.2.0',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),ld(op_d,X2)) = mult(op_d,ld(X1,X2)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.909.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_892]).
% 2.30/2.68 cnf('0.1159.0.0',plain,
% 2.30/2.68 ( ld(op_c,ld(op_d,rd(op_c,ld(op_c,X1)))) = ld(ld(rd(op_c,X1),op_c),ld(op_d,op_c)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.837.2.0','0.179.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('0.1159.0.1',plain,
% 2.30/2.68 ( ld(op_c,ld(op_d,ld(X1,mult(op_c,op_c)))) = ld(ld(rd(op_c,X1),op_c),ld(op_d,op_c)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.1159.0.0','0.518.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2.2','L')]).
% 2.30/2.68 cnf('0.1159.0.2',plain,
% 2.30/2.68 ( ld(op_c,ld(op_d,ld(X1,mult(op_c,op_c)))) = ld(X1,ld(op_d,op_c)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.1159.0.1','0.15.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.1','L')]).
% 2.30/2.68 cnf('0.1159.1.0',plain,
% 2.30/2.68 ( ld(op_c,ld(op_d,ld(X1,mult(op_c,op_c)))) = ld(X1,ld(op_d,op_c)) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.1159.0.2']),
% 2.30/2.68 [weight('<149,837,179,[1,0,0,1]>')]).
% 2.30/2.68 cnf('0.1159.2.0',plain,
% 2.30/2.68 ( ld(op_c,ld(op_d,ld(X1,mult(op_c,op_c)))) = ld(X1,ld(op_d,op_c)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.1159.1.0',theory(equality)]),
% 2.30/2.68 [u,rule_1141]).
% 2.30/2.68 cnf('0.1463.0.0',plain,
% 2.30/2.68 ( ld(ld(op_d,ld(op_d,X1)),ld(op_d,op_c)) = ld(op_c,ld(X1,mult(mult(op_c,op_c),op_d))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.1159.2.0','0.904.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.1463.0.1',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,op_c)) = ld(op_c,ld(X1,mult(mult(op_c,op_c),op_d))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.1463.0.0','0.909.2.0',theory(equality)]),
% 2.30/2.68 [pos('L','L')]).
% 2.30/2.68 cnf('0.1463.0.2',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,op_c)) = ld(op_c,ld(X1,mult(op_c,mult(op_c,op_d)))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.1463.0.1','0.28.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.2.2','L')]).
% 2.30/2.68 cnf('0.1463.1.0',plain,
% 2.30/2.68 ( mult(op_d,ld(X1,op_c)) = ld(op_c,ld(X1,mult(op_c,mult(op_c,op_d)))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.1463.0.2']),
% 2.30/2.68 [weight('<149,1159,904,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.1463.2.0',plain,
% 2.30/2.68 ( ld(op_c,ld(X1,mult(op_c,mult(op_c,op_d)))) = mult(op_d,ld(X1,op_c)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.1463.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_1443]).
% 2.30/2.68 cnf('0.1587.0.0',plain,
% 2.30/2.68 ( mult(op_d,ld(ld(X1,unit),op_c)) = ld(op_c,mult(X1,mult(op_c,mult(op_c,op_d)))) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.1463.2.0','0.157.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.1587.0.1',plain,
% 2.30/2.68 ( mult(op_d,mult(X1,op_c)) = ld(op_c,mult(X1,mult(op_c,mult(op_c,op_d)))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.1587.0.0','0.157.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2','L')]).
% 2.30/2.68 cnf('0.1587.1.0',plain,
% 2.30/2.68 ( mult(op_d,mult(X1,op_c)) = ld(op_c,mult(X1,mult(op_c,mult(op_c,op_d)))) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.1587.0.1']),
% 2.30/2.68 [weight('<149,1463,157,[1,0,0,2]>')]).
% 2.30/2.68 cnf('0.1587.2.0',plain,
% 2.30/2.68 ( ld(op_c,mult(X1,mult(op_c,mult(op_c,op_d)))) = mult(op_d,mult(X1,op_c)) ),
% 2.30/2.68 inference(orient,[status(thm)],['0.1587.1.0',theory(equality)]),
% 2.30/2.68 [x,rule_1566]).
% 2.30/2.68 cnf('0.1588.0.0',plain,
% 2.30/2.68 ( rd(mult(X1,mult(op_c,mult(op_c,op_d))),ld(op_c,unit)) = mult(op_c,mult(mult(op_d,mult(X1,op_c)),op_c)) ),
% 2.30/2.68 inference(cp,[status(thm)],['0.730.2.0','0.1587.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2.1','L')]).
% 2.30/2.68 cnf('0.1588.0.1',plain,
% 2.30/2.68 ( mult(op_c,mult(X1,mult(op_c,mult(op_c,op_d)))) = mult(op_c,mult(mult(op_d,mult(X1,op_c)),op_c)) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.1588.0.0','0.534.2.0',theory(equality)]),
% 2.30/2.68 [pos('L','L')]).
% 2.30/2.68 cnf('0.1588.1.0',plain,
% 2.30/2.68 ( mult(X1,mult(op_c,mult(op_c,op_d))) = mult(mult(op_d,mult(X1,op_c)),op_c) ),
% 2.30/2.68 inference(weigh,[status(thm)],['0.1588.0.1']),
% 2.30/2.68 [weight('<119,1587,730,[0,0,0,3]>')]).
% 2.30/2.68 cnf('0.1588.1.1',plain,
% 2.30/2.68 ( mult(X1,mult(op_c,mult(op_c,op_d))) = mult(op_c,mult(op_d,mult(X1,op_c))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['0.1588.1.0','0.9.2.0',theory(equality)]),
% 2.30/2.68 [pos('R','L')]).
% 2.30/2.68 cnf('0.1588.2.0',plain,
% 2.30/2.68 ( mult(X1,mult(op_c,mult(op_c,op_d))) = mult(op_c,mult(op_d,mult(X1,op_c))) ),
% 2.30/2.68 inference(activate,[status(thm)],['0.1588.1.1']),
% 2.30/2.68 [equation_22]).
% 2.30/2.68 cnf('1.0.0.0',conjecture,
% 2.30/2.68 ( mult(mult(mult(op_c,op_c),op_d),a) = mult(a,mult(mult(op_c,op_c),op_d)) ),
% 2.30/2.68 file('/tmp/WALDMEISTER_13372_n026',conjecture_1)).
% 2.30/2.68 cnf('1.0.0.1',plain,
% 2.30/2.68 ( mult(mult(mult(op_c,op_c),op_d),a) = mult(a,mult(op_c,mult(op_c,op_d))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['1.0.0.0','0.28.2.0',theory(equality)]),
% 2.30/2.68 [pos('R.2','L')]).
% 2.30/2.68 cnf('1.0.0.2',plain,
% 2.30/2.68 ( mult(mult(op_c,mult(op_c,op_d)),a) = mult(a,mult(op_c,mult(op_c,op_d))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['1.0.0.1','0.28.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.1','L')]).
% 2.30/2.68 cnf('1.0.0.3',plain,
% 2.30/2.68 ( mult(op_c,mult(op_d,mult(op_c,a))) = mult(a,mult(op_c,mult(op_c,op_d))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['1.0.0.2','0.67.2.0',theory(equality)]),
% 2.30/2.68 [pos('L','L')]).
% 2.30/2.68 cnf('1.0.0.4',plain,
% 2.30/2.68 ( mult(op_c,mult(op_d,mult(a,op_c))) = mult(a,mult(op_c,mult(op_c,op_d))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['1.0.0.3','0.9.2.0',theory(equality)]),
% 2.30/2.68 [pos('L.2.2','R')]).
% 2.30/2.68 cnf('1.0.0.5',plain,
% 2.30/2.68 ( mult(a,mult(op_c,mult(op_c,op_d))) = mult(a,mult(op_c,mult(op_c,op_d))) ),
% 2.30/2.68 inference(reduction,[status(thm)],['1.0.0.4','0.1588.2.0',theory(equality)]),
% 2.30/2.68 [pos('L','R')]).
% 2.30/2.68 cnf('1.0.0.6',plain,
% 2.30/2.68 ( $true ),
% 2.30/2.68 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 2.30/2.68 [conjecture_1]).
% 2.30/2.68
% 2.30/2.68 Proved Goals:
% 2.30/2.68 No. 1: mult(mult(mult(op_c,op_c),op_d),a) ?= mult(a,mult(mult(op_c,op_c),op_d)) joined, current: mult(a,mult(op_c,mult(op_c,op_d))) = mult(a,mult(op_c,mult(op_c,op_d)))
% 2.30/2.68 1 goal was specified, which was proved.
% 2.30/2.68 % SZS output end CNFRefutation
% 2.30/2.68 #END OF PROOF
% 2.30/2.68
% 2.30/2.68 Problem WALDMEISTER_13372_n026
% 2.30/2.68 CPs.gen 288026
% 2.30/2.68 CPs.reexp 0
% 2.30/2.68 Select 14790
% 2.30/2.68 R 1566
% 2.30/2.68 E 22
% 2.30/2.68 vsize 9.4M
% 2.30/2.68 rss 5.0M
% 2.30/2.68 process.time 1.638s
% 2.30/2.68 wallclock.time 1.638s
% 2.30/2.68 status S
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Waldmeister states: Goal proved.
% 2.30/2.68 % SZS status Unsatisfiable
%------------------------------------------------------------------------------