TSTP Solution File: GRP655-14 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP655-14 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 12:27:34 EDT 2022
% Result : Unsatisfiable 1.48s 1.88s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP655-14 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 16:34:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.98 * |/ | \/ | *
% 0.60/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.98 * A. Jaeger and B. Loechner | | *
% 0.60/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 0.60/0.98
% 0.60/0.98 Goals:
% 0.60/0.98 ------
% 0.60/0.98
% 0.60/0.98 ( 1) mult(ld(x1,x1),x0) ?=? x0
% 0.60/0.98
% 0.60/0.98 Detected structure: Quasigruppe
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 1.48/1.88 joined goal: 1 mult(ld(x1,x1),x0) ?= x0 to x0
% 1.48/1.88 goal joined
% 1.48/1.88 % SZS status Unsatisfiable
% 1.48/1.88 #START OF PROOF
% 1.48/1.88 % SZS output start CNFRefutation
% 1.48/1.88 cnf('0.1.0.0',axiom,
% 1.48/1.88 ( X1 = mult(X2,ld(X2,X1)) ),
% 1.48/1.88 file('/tmp/WALDMEISTER_21188_n028')).
% 1.48/1.88 cnf('0.1.1.0',plain,
% 1.48/1.88 ( X1 = mult(X2,ld(X2,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.48/1.88 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.1.2.0',plain,
% 1.48/1.88 ( mult(X1,ld(X1,X2)) = X2 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_1]).
% 1.48/1.88 cnf('0.2.0.0',axiom,
% 1.48/1.88 ( X1 = mult(rd(X1,X2),X2) ),
% 1.48/1.88 file('/tmp/WALDMEISTER_21188_n028')).
% 1.48/1.88 cnf('0.2.1.0',plain,
% 1.48/1.88 ( X1 = mult(rd(X1,X2),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.48/1.88 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.2.2.0',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X2) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_2]).
% 1.48/1.88 cnf('0.3.0.0',axiom,
% 1.48/1.88 ( X1 = rd(mult(X1,X2),X2) ),
% 1.48/1.88 file('/tmp/WALDMEISTER_21188_n028')).
% 1.48/1.88 cnf('0.3.1.0',plain,
% 1.48/1.88 ( X1 = rd(mult(X1,X2),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.48/1.88 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.48/1.88 cnf('0.3.2.0',plain,
% 1.48/1.88 ( rd(mult(X1,X2),X2) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_3]).
% 1.48/1.88 cnf('0.4.0.0',axiom,
% 1.48/1.88 ( X1 = ld(X2,mult(X2,X1)) ),
% 1.48/1.88 file('/tmp/WALDMEISTER_21188_n028')).
% 1.48/1.88 cnf('0.4.1.0',plain,
% 1.48/1.88 ( X1 = ld(X2,mult(X2,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.48/1.88 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.48/1.88 cnf('0.4.2.0',plain,
% 1.48/1.88 ( ld(X1,mult(X1,X2)) = X2 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_4]).
% 1.48/1.88 cnf('0.5.0.0',axiom,
% 1.48/1.88 ( mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2) ),
% 1.48/1.88 file('/tmp/WALDMEISTER_21188_n028')).
% 1.48/1.88 cnf('0.5.1.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.48/1.88 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.48/1.88 cnf('0.5.2.0',plain,
% 1.48/1.88 ( mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,mult(X3,X2))) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_5]).
% 1.48/1.88 cnf('0.6.0.0',plain,
% 1.48/1.88 ( X1 = rd(X2,ld(X1,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.6.1.0',plain,
% 1.48/1.88 ( X1 = rd(X2,ld(X1,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.48/1.88 [weight('<41,3,1,[1,0,0,1]>')]).
% 1.48/1.88 cnf('0.6.2.0',plain,
% 1.48/1.88 ( rd(X1,ld(X2,X1)) = X2 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_6]).
% 1.48/1.88 cnf('0.7.0.0',plain,
% 1.48/1.88 ( X1 = ld(rd(X2,X1),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.7.1.0',plain,
% 1.48/1.88 ( X1 = ld(rd(X2,X1),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.48/1.88 [weight('<41,4,2,[1,0,0,2]>')]).
% 1.48/1.88 cnf('0.7.2.0',plain,
% 1.48/1.88 ( ld(rd(X1,X2),X1) = X2 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_7]).
% 1.48/1.88 cnf('0.8.0.0',plain,
% 1.48/1.88 ( mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.1','L')]).
% 1.48/1.88 cnf('0.8.1.0',plain,
% 1.48/1.88 ( mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.48/1.88 [weight('<149,5,2,[1,0,0,2]>')]).
% 1.48/1.88 cnf('0.8.2.0',plain,
% 1.48/1.88 ( mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_8]).
% 1.48/1.88 cnf('0.9.0.0',plain,
% 1.48/1.88 ( mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.9.1.0',plain,
% 1.48/1.88 ( mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.48/1.88 [weight('<119,8,2,[1,0,0,6]>')]).
% 1.48/1.88 cnf('0.9.2.0',plain,
% 1.48/1.88 ( mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_9]).
% 1.48/1.88 cnf('0.12.0.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = ld(rd(X3,X1),mult(mult(X3,X2),X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.12.1.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = ld(rd(X3,X1),mult(mult(X3,X2),X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.48/1.88 [weight('<149,8,4,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.12.2.0',plain,
% 1.48/1.88 ( ld(rd(X1,X2),mult(mult(X1,X3),X2)) = mult(X2,mult(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_12]).
% 1.48/1.88 cnf('0.13.0.0',plain,
% 1.48/1.88 ( mult(X1,mult(ld(X2,X3),X1)) = ld(rd(X2,X1),mult(X3,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.12.2.0','0.1.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.1','L')]).
% 1.48/1.88 cnf('0.13.1.0',plain,
% 1.48/1.88 ( mult(X1,mult(ld(X2,X3),X1)) = ld(rd(X2,X1),mult(X3,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.48/1.88 [weight('<119,12,1,[1,0,0,5]>')]).
% 1.48/1.88 cnf('0.13.2.0',plain,
% 1.48/1.88 ( mult(X1,mult(ld(X2,X3),X1)) = ld(rd(X2,X1),mult(X3,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_13]).
% 1.48/1.88 cnf('0.14.0.0',plain,
% 1.48/1.88 ( mult(X1,rd(X2,X3)) = rd(mult(rd(X1,X3),mult(X3,X2)),X3) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.14.1.0',plain,
% 1.48/1.88 ( mult(X1,rd(X2,X3)) = rd(mult(rd(X1,X3),mult(X3,X2)),X3) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.48/1.88 [weight('<149,9,3,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.14.2.0',plain,
% 1.48/1.88 ( rd(mult(rd(X1,X2),mult(X2,X3)),X2) = mult(X1,rd(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_14]).
% 1.48/1.88 cnf('0.15.0.0',plain,
% 1.48/1.88 ( mult(X1,rd(ld(X2,X3),X2)) = rd(mult(rd(X1,X2),X3),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.14.2.0','0.1.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.15.1.0',plain,
% 1.48/1.88 ( mult(X1,rd(ld(X2,X3),X2)) = rd(mult(rd(X1,X2),X3),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.48/1.88 [weight('<119,14,1,[1,0,0,5]>')]).
% 1.48/1.88 cnf('0.15.2.0',plain,
% 1.48/1.88 ( mult(X1,rd(ld(X2,X3),X2)) = rd(mult(rd(X1,X2),X3),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_15]).
% 1.48/1.88 cnf('0.16.0.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = ld(rd(rd(X3,X2),X1),mult(X3,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.12.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.1','L')]).
% 1.48/1.88 cnf('0.16.1.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = ld(rd(rd(X3,X2),X1),mult(X3,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.48/1.88 [weight('<149,12,2,[1,0,0,5]>')]).
% 1.48/1.88 cnf('0.16.2.0',plain,
% 1.48/1.88 ( ld(rd(rd(X1,X2),X3),mult(X1,X3)) = mult(X3,mult(X2,X3)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_16]).
% 1.48/1.88 cnf('0.17.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,X2),X3) = ld(X3,ld(rd(X1,X3),mult(X2,X3))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.4.2.0','0.13.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.17.1.0',plain,
% 1.48/1.88 ( mult(ld(X1,X2),X3) = ld(X3,ld(rd(X1,X3),mult(X2,X3))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.48/1.88 [weight('<149,13,4,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.17.2.0',plain,
% 1.48/1.88 ( ld(X1,ld(rd(X2,X1),mult(X3,X1))) = mult(ld(X2,X3),X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_17]).
% 1.48/1.88 cnf('0.18.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),X2) = ld(X2,X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.17.2.0','0.4.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.18.1.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),X2) = ld(X2,X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.48/1.88 [weight('<87,17,4,[1,0,0,2]>')]).
% 1.48/1.88 cnf('0.18.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),X2) = ld(X2,X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_18]).
% 1.48/1.88 cnf('0.20.0.0',plain,
% 1.48/1.88 ( X1 = ld(ld(X2,rd(X2,X1)),ld(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.4.2.0','0.18.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.20.1.0',plain,
% 1.48/1.88 ( X1 = ld(ld(X2,rd(X2,X1)),ld(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.48/1.88 [weight('<109,18,4,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.20.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,rd(X1,X2)),ld(X2,X2)) = X2 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_20]).
% 1.48/1.88 cnf('0.21.0.0',plain,
% 1.48/1.88 ( mult(mult(X1,ld(X2,rd(X2,X3))),X3) = mult(rd(X1,X3),mult(X3,ld(X3,X3))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.8.2.0','0.18.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.21.0.1',plain,
% 1.48/1.88 ( mult(mult(X1,ld(X2,rd(X2,X3))),X3) = mult(rd(X1,X3),X3) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.21.0.0','0.1.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.21.0.2',plain,
% 1.48/1.88 ( mult(mult(X1,ld(X2,rd(X2,X3))),X3) = X1 ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.21.0.1','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.21.1.0',plain,
% 1.48/1.88 ( mult(mult(X1,ld(X2,rd(X2,X3))),X3) = X1 ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.21.0.2']),
% 1.48/1.88 [weight('<109,18,8,[0,0,0,6]>')]).
% 1.48/1.88 cnf('0.21.2.0',plain,
% 1.48/1.88 ( mult(mult(X1,ld(X2,rd(X2,X3))),X3) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_21]).
% 1.48/1.88 cnf('0.22.0.0',plain,
% 1.48/1.88 ( rd(X1,ld(X2,rd(X2,X3))) = mult(X1,X3) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.21.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.22.1.0',plain,
% 1.48/1.88 ( rd(X1,ld(X2,rd(X2,X3))) = mult(X1,X3) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.48/1.88 [weight('<87,21,2,[1,0,0,1]>')]).
% 1.48/1.88 cnf('0.22.2.0',plain,
% 1.48/1.88 ( rd(X1,ld(X2,rd(X2,X3))) = mult(X1,X3) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_22]).
% 1.48/1.88 cnf('0.23.0.0',plain,
% 1.48/1.88 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.22.2.0','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.23.1.0',plain,
% 1.48/1.88 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.48/1.88 [weight('<65,22,6,[1,0,0,4]>')]).
% 1.48/1.88 cnf('0.23.2.0',plain,
% 1.48/1.88 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_23]).
% 1.48/1.88 cnf('0.25.0.0',plain,
% 1.48/1.88 ( ld(X1,X2) = ld(X3,rd(X3,ld(X2,X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.4.2.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.25.1.0',plain,
% 1.48/1.88 ( ld(X1,X2) = ld(X3,rd(X3,ld(X2,X1))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.48/1.88 [weight('<87,23,4,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.25.2.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,ld(X2,X3))) = ld(X3,X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_25]).
% 1.48/1.88 cnf('0.27.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X3)),ld(X3,X2)) = X1 ),
% 1.48/1.88 inference(cp,[status(thm)],['0.23.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.27.1.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X3)),ld(X3,X2)) = X1 ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.48/1.88 [weight('<109,23,2,[1,0,0,0]>')]).
% 1.48/1.88 cnf('0.27.2.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X3)),ld(X3,X2)) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_27]).
% 1.48/1.88 cnf('0.28.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X2,X3)),X3) = ld(X3,ld(rd(X1,X3),X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.17.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.28.1.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X2,X3)),X3) = ld(X3,ld(rd(X1,X3),X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.48/1.88 [weight('<119,17,2,[1,0,0,6]>')]).
% 1.48/1.88 cnf('0.28.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X2,X3)),X3) = ld(X3,ld(rd(X1,X3),X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_28]).
% 1.48/1.88 cnf('0.31.0.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = rd(ld(X2,X2),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.20.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.31.1.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = rd(ld(X2,X2),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.31.0.0']),
% 1.48/1.88 [weight('<120,20,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.31.2.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = rd(ld(X2,X2),X2) ),
% 1.48/1.88 inference(activate,[status(thm)],['0.31.1.0']),
% 1.48/1.88 [equation_1]).
% 1.48/1.88 cnf('0.31.2.2',plain,
% 1.48/1.88 ( ld(x1,rd(x1,X1)) = rd(ld(X1,X1),X1) ),
% 1.48/1.88 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 1.48/1.88 cnf('0.32.0.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(mult(X3,X2),X3) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.7.2.0','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.32.1.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(mult(X3,X2),X3) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.48/1.88 [weight('<120,22,7,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.32.2.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(mult(X3,X2),X3) ),
% 1.48/1.88 inference(activate,[status(thm)],['0.32.1.0']),
% 1.48/1.88 [equation_2]).
% 1.48/1.88 cnf('0.32.2.1',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(mult(x1,X2),x1) ),
% 1.48/1.88 inference(instr,[status(thm)],['0.32.2.0',theory(equality)])).
% 1.48/1.88 cnf('0.32.2.2',plain,
% 1.48/1.88 ( ld(x1,rd(x1,X2)) = ld(mult(X1,X2),X1) ),
% 1.48/1.88 inference(instl,[status(thm)],['0.32.2.0',theory(equality)])).
% 1.48/1.88 cnf('0.34.0.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(X3,rd(X3,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.34.1.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(X3,rd(X3,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.48/1.88 [weight('<120,25,7,[1,0,0,4]>')]).
% 1.48/1.88 cnf('0.34.2.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(X3,rd(X3,X2)) ),
% 1.48/1.88 inference(activate,[status(thm)],['0.34.1.0']),
% 1.48/1.88 [equation_4]).
% 1.48/1.88 cnf('0.34.2.1',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(x1,rd(x1,X2)) ),
% 1.48/1.88 inference(instr,[status(thm)],['0.34.2.0',theory(equality)])).
% 1.48/1.88 cnf('0.34.2.2',plain,
% 1.48/1.88 ( ld(x1,rd(x1,X2)) = ld(X1,rd(X1,X2)) ),
% 1.48/1.88 inference(instl,[status(thm)],['0.34.2.0',theory(equality)])).
% 1.48/1.88 cnf('0.36.0.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = ld(rd(rd(rd(X3,X1),X2),X1),X3) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.16.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.36.1.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = ld(rd(rd(rd(X3,X1),X2),X1),X3) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.36.0.0']),
% 1.48/1.88 [weight('<149,16,2,[1,0,0,6]>')]).
% 1.48/1.88 cnf('0.36.2.0',plain,
% 1.48/1.88 ( ld(rd(rd(rd(X1,X2),X3),X2),X1) = mult(X2,mult(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_32]).
% 1.48/1.88 cnf('0.37.0.0',plain,
% 1.48/1.88 ( rd(rd(rd(X1,X2),X3),X2) = rd(X1,mult(X2,mult(X3,X2))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.36.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.37.1.0',plain,
% 1.48/1.88 ( rd(rd(rd(X1,X2),X3),X2) = rd(X1,mult(X2,mult(X3,X2))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.37.0.0']),
% 1.48/1.88 [weight('<119,36,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.37.2.0',plain,
% 1.48/1.88 ( rd(rd(rd(X1,X2),X3),X2) = rd(X1,mult(X2,mult(X3,X2))) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_33]).
% 1.48/1.88 cnf('0.38.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),X3) = rd(mult(X1,X3),mult(X3,mult(X2,X3))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.16.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.38.1.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),X3) = rd(mult(X1,X3),mult(X3,mult(X2,X3))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.38.0.0']),
% 1.48/1.88 [weight('<149,16,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.38.2.0',plain,
% 1.48/1.88 ( rd(mult(X1,X2),mult(X2,mult(X3,X2))) = rd(rd(X1,X3),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_34]).
% 1.48/1.88 cnf('0.40.0.0',plain,
% 1.48/1.88 ( rd(mult(rd(X1,ld(X2,rd(X2,X3))),X4),ld(X2,rd(X2,X3))) = mult(X1,mult(ld(ld(X2,rd(X2,X3)),X4),X3)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.15.2.0','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.40.0.1',plain,
% 1.48/1.88 ( mult(mult(rd(X1,ld(X2,rd(X2,X3))),X4),X3) = mult(X1,mult(ld(ld(X2,rd(X2,X3)),X4),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.40.0.0','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.40.0.2',plain,
% 1.48/1.88 ( mult(mult(mult(X1,X3),X4),X3) = mult(X1,mult(ld(ld(X2,rd(X2,X3)),X4),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.40.0.1','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.1','L')]).
% 1.48/1.88 cnf('0.40.0.3',plain,
% 1.48/1.88 ( mult(X1,mult(X3,mult(X4,X3))) = mult(X1,mult(ld(ld(X2,rd(X2,X3)),X4),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.40.0.2','0.5.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.40.1.0',plain,
% 1.48/1.88 ( mult(X3,mult(X4,X3)) = mult(ld(ld(X2,rd(X2,X3)),X4),X3) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.40.0.3']),
% 1.48/1.88 [weight('<149,22,15,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.40.2.0',plain,
% 1.48/1.88 ( mult(ld(ld(X1,rd(X1,X2)),X3),X2) = mult(X2,mult(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_36]).
% 1.48/1.88 cnf('0.41.0.0',plain,
% 1.48/1.88 ( mult(X1,mult(ld(X1,X1),X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.40.2.0','0.20.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.41.0.1',plain,
% 1.48/1.88 ( ld(rd(X1,X1),mult(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.41.0.0','0.13.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.41.1.0',plain,
% 1.48/1.88 ( ld(rd(X1,X1),mult(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.41.0.1']),
% 1.48/1.88 [weight('<87,40,20,[1,0,0,1]>')]).
% 1.48/1.88 cnf('0.41.2.0',plain,
% 1.48/1.88 ( ld(rd(X1,X1),mult(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_37]).
% 1.48/1.88 cnf('0.42.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,X1),X1) = ld(X1,mult(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.17.2.0','0.41.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.42.0.1',plain,
% 1.48/1.88 ( mult(ld(X1,X1),X1) = X1 ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.42.0.0','0.4.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.42.1.0',plain,
% 1.48/1.88 ( mult(ld(X1,X1),X1) = X1 ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.42.0.1']),
% 1.48/1.88 [weight('<41,41,17,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.42.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,X1),X1) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_38]).
% 1.48/1.88 cnf('0.43.0.0',plain,
% 1.48/1.88 ( ld(X1,X1) = rd(X1,X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.3.2.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.43.1.0',plain,
% 1.48/1.88 ( ld(X1,X1) = rd(X1,X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.43.0.0']),
% 1.48/1.88 [weight('<27,42,3,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.43.2.0',plain,
% 1.48/1.88 ( rd(X1,X1) = ld(X1,X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_39]).
% 1.48/1.88 cnf('0.44.0.0',plain,
% 1.48/1.88 ( X1 = ld(ld(X1,X1),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.4.2.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.44.1.0',plain,
% 1.48/1.88 ( X1 = ld(ld(X1,X1),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.44.0.0']),
% 1.48/1.88 [weight('<41,42,4,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.44.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),X1) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_40]).
% 1.48/1.88 cnf('0.45.0.0',plain,
% 1.48/1.88 ( ld(rd(X1,X1),mult(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 1.48/1.88 cnf('0.45.0.1',plain,
% 1.48/1.88 ( ld(ld(X1,X1),mult(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.45.0.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.45.1.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),mult(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.45.0.1']),
% 1.48/1.88 [weight('<87,41,43,[0,0,0,0]>')]).
% 1.48/1.88 cnf('0.45.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),mult(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_41]).
% 1.48/1.88 cnf('0.46.0.0',plain,
% 1.48/1.88 ( mult(X1,X2) = rd(X1,ld(X2,ld(X2,X2))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.22.2.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.46.1.0',plain,
% 1.48/1.88 ( mult(X1,X2) = rd(X1,ld(X2,ld(X2,X2))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.46.0.0']),
% 1.48/1.88 [weight('<87,43,22,[0,0,0,4]>')]).
% 1.48/1.88 cnf('0.46.2.0',plain,
% 1.48/1.88 ( rd(X1,ld(X2,ld(X2,X2))) = mult(X1,X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_42]).
% 1.48/1.88 cnf('0.47.0.0',plain,
% 1.48/1.88 ( ld(X1,X1) = rd(mult(X1,X1),mult(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.45.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.47.0.1',plain,
% 1.48/1.88 ( ld(X1,X1) = ld(mult(X1,X1),mult(X1,X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.47.0.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.47.1.0',plain,
% 1.48/1.88 ( ld(X1,X1) = ld(mult(X1,X1),mult(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.47.0.1']),
% 1.48/1.88 [weight('<87,45,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.47.2.0',plain,
% 1.48/1.88 ( ld(mult(X1,X1),mult(X1,X1)) = ld(X1,X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_43]).
% 1.48/1.88 cnf('0.48.0.0',plain,
% 1.48/1.88 ( mult(X1,X1) = rd(mult(X1,X1),ld(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.47.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.48.1.0',plain,
% 1.48/1.88 ( mult(X1,X1) = rd(mult(X1,X1),ld(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.48.0.0']),
% 1.48/1.88 [weight('<87,47,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.48.2.0',plain,
% 1.48/1.88 ( rd(mult(X1,X1),ld(X1,X1)) = mult(X1,X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_44]).
% 1.48/1.88 cnf('0.50.0.0',plain,
% 1.48/1.88 ( X1 = ld(ld(X1,ld(X1,X1)),ld(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.20.2.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.50.1.0',plain,
% 1.48/1.88 ( X1 = ld(ld(X1,ld(X1,X1)),ld(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.50.0.0']),
% 1.48/1.88 [weight('<109,43,20,[0,0,0,3]>')]).
% 1.48/1.88 cnf('0.50.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,ld(X1,X1)),ld(X1,X1)) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_46]).
% 1.48/1.88 cnf('0.51.0.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X1)) = rd(ld(X1,X1),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.50.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.51.1.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X1)) = rd(ld(X1,X1),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.51.0.0']),
% 1.48/1.88 [weight('<65,50,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.51.1.1',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X1)) = ld(x1,rd(x1,X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.51.1.0','0.31.2.2',theory(equality)]),
% 1.48/1.88 [pos('R','R')]).
% 1.48/1.88 cnf('0.51.2.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X1)) = ld(x1,rd(x1,X1)) ),
% 1.48/1.88 inference(activate,[status(thm)],['0.51.1.1']),
% 1.48/1.88 [equation_5]).
% 1.48/1.88 cnf('0.62.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X2,X2)),X2) = ld(X2,ld(rd(X1,X2),X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.17.2.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.62.1.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X2,X2)),X2) = ld(X2,ld(rd(X1,X2),X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.62.0.0']),
% 1.48/1.88 [weight('<119,42,17,[0,0,0,6]>')]).
% 1.48/1.88 cnf('0.62.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X2,X2)),X2) = ld(X2,ld(rd(X1,X2),X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_57]).
% 1.48/1.88 cnf('0.63.0.0',plain,
% 1.48/1.88 ( rd(rd(ld(X1,X1),X2),X1) = rd(X1,mult(X1,mult(X2,X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.38.2.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.63.1.0',plain,
% 1.48/1.88 ( rd(rd(ld(X1,X1),X2),X1) = rd(X1,mult(X1,mult(X2,X1))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.63.0.0']),
% 1.48/1.88 [weight('<119,42,38,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.63.2.0',plain,
% 1.48/1.88 ( rd(rd(ld(X1,X1),X2),X1) = rd(X1,mult(X1,mult(X2,X1))) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_58]).
% 1.48/1.88 cnf('0.64.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X2)),X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.38.2.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.64.1.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X2)),X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.64.0.0']),
% 1.48/1.88 [weight('<119,42,38,[0,0,0,6]>')]).
% 1.48/1.88 cnf('0.64.2.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X2)),X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_59]).
% 1.48/1.88 cnf('0.65.0.0',plain,
% 1.48/1.88 ( ld(x1,rd(x1,mult(X1,X1))) = ld(mult(X1,X1),ld(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.51.2.0','0.47.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.65.1.0',plain,
% 1.48/1.88 ( ld(x1,rd(x1,mult(X1,X1))) = ld(mult(X1,X1),ld(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.65.0.0']),
% 1.48/1.88 [weight('<119,51,47,[1,0,0,2]>')]).
% 1.48/1.88 cnf('0.65.2.0',plain,
% 1.48/1.88 ( ld(mult(X1,X1),ld(X1,X1)) = ld(x1,rd(x1,mult(X1,X1))) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_60]).
% 1.48/1.88 cnf('0.67.0.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(X2,ld(X2,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.32.2.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.67.1.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(X2,ld(X2,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.67.0.0']),
% 1.48/1.88 [weight('<120,42,32,[0,0,1,1]>')]).
% 1.48/1.88 cnf('0.67.2.0',plain,
% 1.48/1.88 ( ld(X1,rd(X1,X2)) = ld(X2,ld(X2,X2)) ),
% 1.48/1.88 inference(activate,[status(thm)],['0.67.1.0']),
% 1.48/1.88 [equation_6]).
% 1.48/1.88 cnf('0.67.2.2',plain,
% 1.48/1.88 ( ld(x1,rd(x1,X1)) = ld(X1,ld(X1,X1)) ),
% 1.48/1.88 inference(instl,[status(thm)],['0.67.2.0',theory(equality)])).
% 1.48/1.88 cnf('0.68.0.0',plain,
% 1.48/1.88 ( ld(X1,rd(X2,X3)) = rd(ld(X3,ld(rd(X1,X3),X2)),X3) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.3.2.0','0.28.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.68.1.0',plain,
% 1.48/1.88 ( ld(X1,rd(X2,X3)) = rd(ld(X3,ld(rd(X1,X3),X2)),X3) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.68.0.0']),
% 1.48/1.88 [weight('<149,28,3,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.68.2.0',plain,
% 1.48/1.88 ( rd(ld(X1,ld(rd(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_62]).
% 1.48/1.88 cnf('0.69.0.0',plain,
% 1.48/1.88 ( ld(mult(X1,X2),rd(X3,X2)) = rd(ld(X2,ld(X1,X3)),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.68.2.0','0.3.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2.1','L')]).
% 1.48/1.88 cnf('0.69.1.0',plain,
% 1.48/1.88 ( ld(mult(X1,X2),rd(X3,X2)) = rd(ld(X2,ld(X1,X3)),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.69.0.0']),
% 1.48/1.88 [weight('<119,68,3,[1,0,0,4]>')]).
% 1.48/1.88 cnf('0.69.2.0',plain,
% 1.48/1.88 ( rd(ld(X1,ld(X2,X3)),X1) = ld(mult(X2,X1),rd(X3,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_63]).
% 1.48/1.88 cnf('0.74.0.0',plain,
% 1.48/1.88 ( rd(ld(X1,X1),X1) = ld(ld(X1,X1),ld(X2,rd(X2,X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.31.2.0','0.31.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','R')]).
% 1.48/1.88 cnf('0.74.1.0',plain,
% 1.48/1.88 ( rd(ld(X1,X1),X1) = ld(ld(X1,X1),ld(X2,rd(X2,X1))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.74.0.0']),
% 1.48/1.88 [weight('<149,31,31,[0,1,0,2]>')]).
% 1.48/1.88 cnf('0.74.1.1',plain,
% 1.48/1.88 ( ld(x1,rd(x1,X1)) = ld(ld(X1,X1),ld(X2,rd(X2,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.74.1.0','0.31.2.2',theory(equality)]),
% 1.48/1.88 [pos('L','R')]).
% 1.48/1.88 cnf('0.74.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(X2,rd(X2,X1))) = ld(x1,rd(x1,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.74.1.1',theory(equality)]),
% 1.48/1.88 [x,rule_68]).
% 1.48/1.88 cnf('0.76.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),X3) = mult(rd(X1,mult(X2,mult(X3,X2))),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.2.2.0','0.37.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.76.1.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),X3) = mult(rd(X1,mult(X2,mult(X3,X2))),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.76.0.0']),
% 1.48/1.88 [weight('<149,37,2,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.76.2.0',plain,
% 1.48/1.88 ( mult(rd(X1,mult(X2,mult(X3,X2))),X2) = rd(rd(X1,X2),X3) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_70]).
% 1.48/1.88 cnf('0.77.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),rd(X3,X2)) = mult(rd(X1,mult(X2,X3)),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.76.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2.2','L')]).
% 1.48/1.88 cnf('0.77.1.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),rd(X3,X2)) = mult(rd(X1,mult(X2,X3)),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.77.0.0']),
% 1.48/1.88 [weight('<119,76,2,[1,0,0,5]>')]).
% 1.48/1.88 cnf('0.77.2.0',plain,
% 1.48/1.88 ( mult(rd(X1,mult(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_71]).
% 1.48/1.88 cnf('0.78.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X2)),rd(X2,ld(X2,X2))) = mult(rd(X1,X2),ld(X2,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.77.2.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.78.0.1',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,X2)),X2) = mult(rd(X1,X2),ld(X2,X2)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.78.0.0','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.78.0.2',plain,
% 1.48/1.88 ( rd(mult(X1,X2),mult(X2,X2)) = mult(rd(X1,X2),ld(X2,X2)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.78.0.1','0.64.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.78.0.3',plain,
% 1.48/1.88 ( rd(mult(X1,X2),mult(X2,X2)) = rd(rd(X1,X2),ld(X2,X2)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.78.0.2','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.78.1.0',plain,
% 1.48/1.88 ( rd(mult(X1,X2),mult(X2,X2)) = rd(rd(X1,X2),ld(X2,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.78.0.3']),
% 1.48/1.88 [weight('<119,77,42,[1,0,0,3]>')]).
% 1.48/1.88 cnf('0.78.2.0',plain,
% 1.48/1.88 ( rd(mult(X1,X2),mult(X2,X2)) = rd(rd(X1,X2),ld(X2,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_72]).
% 1.48/1.88 cnf('0.79.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,X1),ld(X1,X1)) = ld(mult(X1,X1),mult(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.78.2.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.79.0.1',plain,
% 1.48/1.88 ( rd(ld(X1,X1),ld(X1,X1)) = ld(mult(X1,X1),mult(X1,X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.79.0.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.79.0.2',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(X1,X1)) = ld(mult(X1,X1),mult(X1,X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.79.0.1','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.79.0.3',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.79.0.2','0.47.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.79.1.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.79.0.3']),
% 1.48/1.88 [weight('<87,78,43,[1,0,0,0]>')]).
% 1.48/1.88 cnf('0.79.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_73]).
% 1.48/1.88 cnf('0.80.0.0',plain,
% 1.48/1.88 ( ld(X1,ld(rd(ld(X1,X1),X1),X1)) = mult(ld(X1,X1),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.62.2.0','0.79.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.80.0.1',plain,
% 1.48/1.88 ( ld(X1,ld(rd(ld(X1,X1),X1),X1)) = X1 ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.80.0.0','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.80.1.0',plain,
% 1.48/1.88 ( ld(X1,ld(rd(ld(X1,X1),X1),X1)) = X1 ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.80.0.1']),
% 1.48/1.88 [weight('<109,79,62,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.80.1.1',plain,
% 1.48/1.88 ( ld(X1,ld(ld(x1,rd(x1,X1)),X1)) = X1 ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.80.1.0','0.31.2.2',theory(equality)]),
% 1.48/1.88 [pos('L.2.1','R')]).
% 1.48/1.88 cnf('0.80.2.0',plain,
% 1.48/1.88 ( ld(X1,ld(ld(x1,rd(x1,X1)),X1)) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.80.1.1',theory(equality)]),
% 1.48/1.88 [u,rule_74]).
% 1.48/1.88 cnf('0.81.0.0',plain,
% 1.48/1.88 ( X1 = rd(ld(ld(x1,rd(x1,X1)),X1),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.80.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.81.1.0',plain,
% 1.48/1.88 ( X1 = rd(ld(ld(x1,rd(x1,X1)),X1),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.81.0.0']),
% 1.48/1.88 [weight('<109,80,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.81.2.0',plain,
% 1.48/1.88 ( rd(ld(ld(x1,rd(x1,X1)),X1),X1) = X1 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_75]).
% 1.48/1.88 cnf('0.82.0.0',plain,
% 1.48/1.88 ( ld(ld(x1,rd(x1,X1)),X1) = mult(X1,X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.2.2.0','0.81.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.82.1.0',plain,
% 1.48/1.88 ( ld(ld(x1,rd(x1,X1)),X1) = mult(X1,X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.82.0.0']),
% 1.48/1.88 [weight('<87,81,2,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.82.2.0',plain,
% 1.48/1.88 ( ld(ld(x1,rd(x1,X1)),X1) = mult(X1,X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_76]).
% 1.48/1.88 cnf('0.83.0.0',plain,
% 1.48/1.88 ( ld(x1,rd(x1,X1)) = rd(X1,mult(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.6.2.0','0.82.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.83.1.0',plain,
% 1.48/1.88 ( ld(x1,rd(x1,X1)) = rd(X1,mult(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.83.0.0']),
% 1.48/1.88 [weight('<65,82,6,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.83.2.0',plain,
% 1.48/1.88 ( rd(X1,mult(X1,X1)) = ld(x1,rd(x1,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_77]).
% 1.48/1.88 cnf('0.84.0.0',plain,
% 1.48/1.88 ( mult(X1,X1) = ld(ld(X2,rd(X2,X1)),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.82.2.0','0.34.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.84.1.0',plain,
% 1.48/1.88 ( mult(X1,X1) = ld(ld(X2,rd(X2,X1)),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.84.0.0']),
% 1.48/1.88 [weight('<87,82,34,[1,0,0,1]>')]).
% 1.48/1.88 cnf('0.84.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,rd(X1,X2)),X2) = mult(X2,X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_78]).
% 1.48/1.88 cnf('0.91.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,X2),ld(X1,X2)) = ld(ld(X2,X1),ld(X1,X2)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.84.2.0','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.91.0.1',plain,
% 1.48/1.88 ( rd(ld(X1,X2),ld(X2,X1)) = ld(ld(X2,X1),ld(X1,X2)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.91.0.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.91.1.0',plain,
% 1.48/1.88 ( rd(ld(X1,X2),ld(X2,X1)) = ld(ld(X2,X1),ld(X1,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.91.0.1']),
% 1.48/1.88 [weight('<119,84,6,[1,0,0,3]>')]).
% 1.48/1.88 cnf('0.91.2.0',plain,
% 1.48/1.88 ( rd(ld(X1,X2),ld(X2,X1)) = ld(ld(X2,X1),ld(X1,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_84]).
% 1.48/1.88 cnf('0.92.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),mult(X3,ld(X1,rd(X1,X2)))) = mult(ld(ld(X4,mult(X4,X2)),X3),ld(X1,rd(X1,X2))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.40.2.0','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.1.2','L')]).
% 1.48/1.88 cnf('0.92.0.1',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,ld(rd(X1,X2),X1))) = mult(ld(ld(X4,mult(X4,X2)),X3),ld(X1,rd(X1,X2))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.92.0.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.92.0.2',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,X2)) = mult(ld(ld(X4,mult(X4,X2)),X3),ld(X1,rd(X1,X2))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.92.0.1','0.7.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.92.0.3',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,X2)) = rd(ld(ld(X4,mult(X4,X2)),X3),ld(rd(X1,X2),X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.92.0.2','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.92.0.4',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,X2)) = rd(ld(X2,X3),ld(rd(X1,X2),X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.92.0.3','0.4.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1.1','L')]).
% 1.48/1.88 cnf('0.92.0.5',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,X2)) = rd(ld(X2,X3),X2) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.92.0.4','0.7.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.92.1.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,X2)) = rd(ld(X2,X3),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.92.0.5']),
% 1.48/1.88 [weight('<149,40,22,[1,0,0,4]>')]).
% 1.48/1.88 cnf('0.92.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,X2)) = rd(ld(X2,X3),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_85]).
% 1.48/1.88 cnf('0.99.0.0',plain,
% 1.48/1.88 ( rd(X1,mult(X2,mult(rd(X1,X2),X2))) = rd(ld(rd(X1,X2),rd(X1,X2)),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.37.2.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.99.0.1',plain,
% 1.48/1.88 ( rd(X1,mult(X2,X1)) = rd(ld(rd(X1,X2),rd(X1,X2)),X2) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.99.0.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.99.1.0',plain,
% 1.48/1.88 ( rd(X1,mult(X2,X1)) = rd(ld(rd(X1,X2),rd(X1,X2)),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.99.0.1']),
% 1.48/1.88 [weight('<149,43,37,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.99.2.0',plain,
% 1.48/1.88 ( rd(ld(rd(X1,X2),rd(X1,X2)),X2) = rd(X1,mult(X2,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_92]).
% 1.48/1.88 cnf('0.100.0.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = mult(ld(ld(X1,ld(X1,X1)),X2),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.40.2.0','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.1.2','L')]).
% 1.48/1.88 cnf('0.100.1.0',plain,
% 1.48/1.88 ( mult(X1,mult(X2,X1)) = mult(ld(ld(X1,ld(X1,X1)),X2),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.100.0.0']),
% 1.48/1.88 [weight('<149,43,40,[0,0,0,4]>')]).
% 1.48/1.88 cnf('0.100.2.0',plain,
% 1.48/1.88 ( mult(ld(ld(X1,ld(X1,X1)),X2),X1) = mult(X1,mult(X2,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_93]).
% 1.48/1.88 cnf('0.101.0.0',plain,
% 1.48/1.88 ( ld(ld(X1,ld(X1,X1)),X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.3.2.0','0.100.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.101.1.0',plain,
% 1.48/1.88 ( ld(ld(X1,ld(X1,X1)),X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.101.0.0']),
% 1.48/1.88 [weight('<119,100,3,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.101.2.0',plain,
% 1.48/1.88 ( rd(mult(X1,mult(X2,X1)),X1) = ld(ld(X1,ld(X1,X1)),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_94]).
% 1.48/1.88 cnf('0.102.0.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),mult(X2,ld(X1,ld(X1,X1)))) = mult(ld(ld(X3,mult(X3,X1)),X2),ld(X1,ld(X1,X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.40.2.0','0.46.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.1.2','L')]).
% 1.48/1.88 cnf('0.102.0.1',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),rd(X2,ld(ld(X1,X1),X1))) = mult(ld(ld(X3,mult(X3,X1)),X2),ld(X1,ld(X1,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.102.0.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.102.0.2',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),rd(X2,X1)) = mult(ld(ld(X3,mult(X3,X1)),X2),ld(X1,ld(X1,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.102.0.1','0.44.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.102.0.3',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(ld(ld(X3,mult(X3,X1)),X2),ld(ld(X1,X1),X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.102.0.2','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.102.0.4',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),ld(ld(X1,X1),X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.102.0.3','0.4.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1.1','L')]).
% 1.48/1.88 cnf('0.102.0.5',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.102.0.4','0.44.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.102.1.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.102.0.5']),
% 1.48/1.88 [weight('<149,46,40,[0,0,0,4]>')]).
% 1.48/1.88 cnf('0.102.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_95]).
% 1.48/1.88 cnf('0.103.0.0',plain,
% 1.48/1.88 ( rd(ld(X1,mult(X2,X1)),X1) = mult(ld(X1,ld(X1,X1)),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.102.2.0','0.3.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.103.1.0',plain,
% 1.48/1.88 ( rd(ld(X1,mult(X2,X1)),X1) = mult(ld(X1,ld(X1,X1)),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.103.0.0']),
% 1.48/1.88 [weight('<119,102,3,[1,0,0,6]>')]).
% 1.48/1.88 cnf('0.103.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X1,X1)),X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_96]).
% 1.48/1.88 cnf('0.128.0.0',plain,
% 1.48/1.88 ( ld(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.101.2.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.128.1.0',plain,
% 1.48/1.88 ( ld(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.128.0.0']),
% 1.48/1.88 [weight('<149,101,2,[1,0,0,3]>')]).
% 1.48/1.88 cnf('0.128.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,ld(X1,X1)),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_121]).
% 1.48/1.88 cnf('0.129.0.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X1)) = rd(rd(ld(X1,mult(X2,X1)),X1),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.3.2.0','0.103.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.129.1.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X1)) = rd(rd(ld(X1,mult(X2,X1)),X1),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.129.0.0']),
% 1.48/1.88 [weight('<149,103,3,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.129.2.0',plain,
% 1.48/1.88 ( rd(rd(ld(X1,mult(X2,X1)),X1),X2) = ld(X1,ld(X1,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_122]).
% 1.48/1.88 cnf('0.130.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),ld(X3,ld(X3,X3))) = rd(mult(X1,ld(X3,ld(X3,X3))),rd(ld(X3,mult(mult(X2,ld(X3,ld(X3,X3))),X3)),X3)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.38.2.0','0.103.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.130.0.1',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X3) = rd(mult(X1,ld(X3,ld(X3,X3))),rd(ld(X3,mult(mult(X2,ld(X3,ld(X3,X3))),X3)),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.130.0.0','0.46.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.130.0.2',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X3) = rd(rd(X1,ld(ld(X3,X3),X3)),rd(ld(X3,mult(mult(X2,ld(X3,ld(X3,X3))),X3)),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.130.0.1','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.130.0.3',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X3) = rd(rd(X1,X3),rd(ld(X3,mult(mult(X2,ld(X3,ld(X3,X3))),X3)),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.130.0.2','0.44.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1.2','L')]).
% 1.48/1.88 cnf('0.130.0.4',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X3) = rd(rd(X1,X3),rd(ld(X3,mult(rd(X2,ld(ld(X3,X3),X3)),X3)),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.130.0.3','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2.1.2.1','L')]).
% 1.48/1.88 cnf('0.130.0.5',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X3) = rd(rd(X1,X3),rd(ld(X3,mult(rd(X2,X3),X3)),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.130.0.4','0.44.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2.1.2.1.2','L')]).
% 1.48/1.88 cnf('0.130.0.6',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X3) = rd(rd(X1,X3),rd(ld(X3,X2),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.130.0.5','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2.1.2','L')]).
% 1.48/1.88 cnf('0.130.1.0',plain,
% 1.48/1.88 ( mult(rd(X1,X2),X3) = rd(rd(X1,X3),rd(ld(X3,X2),X3)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.130.0.6']),
% 1.48/1.88 [weight('<149,103,38,[0,0,0,4]>')]).
% 1.48/1.88 cnf('0.130.2.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),rd(ld(X2,X3),X2)) = mult(rd(X1,X3),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_123]).
% 1.48/1.88 cnf('0.144.0.0',plain,
% 1.48/1.88 ( rd(mult(X1,X2),X1) = ld(ld(X3,rd(X3,X1)),rd(X2,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.128.2.0','0.67.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','R')]).
% 1.48/1.88 cnf('0.144.1.0',plain,
% 1.48/1.88 ( rd(mult(X1,X2),X1) = ld(ld(X3,rd(X3,X1)),rd(X2,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.144.0.0']),
% 1.48/1.88 [weight('<149,128,67,[1,0,1,1]>')]).
% 1.48/1.88 cnf('0.144.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,rd(X1,X2)),rd(X3,X2)) = rd(mult(X2,X3),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_137]).
% 1.48/1.88 cnf('0.148.0.0',plain,
% 1.48/1.88 ( mult(rd(ld(X1,mult(rd(ld(X1,X2),X1),X1)),X2),X1) = ld(X1,ld(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.130.2.0','0.129.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.148.0.1',plain,
% 1.48/1.88 ( mult(rd(ld(X1,ld(X1,X2)),X2),X1) = ld(X1,ld(X1,X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.148.0.0','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.1.2','L')]).
% 1.48/1.88 cnf('0.148.1.0',plain,
% 1.48/1.88 ( mult(rd(ld(X1,ld(X1,X2)),X2),X1) = ld(X1,ld(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.148.0.1']),
% 1.48/1.88 [weight('<149,130,129,[1,0,0,0]>')]).
% 1.48/1.88 cnf('0.148.2.0',plain,
% 1.48/1.88 ( mult(rd(ld(X1,ld(X1,X2)),X2),X1) = ld(X1,ld(X1,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_141]).
% 1.48/1.88 cnf('0.149.0.0',plain,
% 1.48/1.88 ( rd(ld(X1,ld(X1,X2)),X2) = rd(ld(X1,ld(X1,X1)),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.3.2.0','0.148.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.149.0.1',plain,
% 1.48/1.88 ( rd(ld(X1,ld(X1,X2)),X2) = ld(mult(X1,X1),rd(X1,X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.149.0.0','0.69.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.149.0.2',plain,
% 1.48/1.88 ( rd(ld(X1,ld(X1,X2)),X2) = ld(mult(X1,X1),ld(X1,X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.149.0.1','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.149.0.3',plain,
% 1.48/1.88 ( rd(ld(X1,ld(X1,X2)),X2) = ld(x1,rd(x1,mult(X1,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.149.0.2','0.65.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.149.1.0',plain,
% 1.48/1.88 ( rd(ld(X1,ld(X1,X2)),X2) = ld(x1,rd(x1,mult(X1,X1))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.149.0.3']),
% 1.48/1.88 [weight('<119,148,3,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.149.2.0',plain,
% 1.48/1.88 ( rd(ld(X1,ld(X1,X2)),X2) = ld(x1,rd(x1,mult(X1,X1))) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_142]).
% 1.48/1.88 cnf('0.155.0.0',plain,
% 1.48/1.88 ( rd(mult(ld(X1,rd(X1,X2)),X3),ld(X1,rd(X1,X2))) = ld(ld(X4,mult(X4,X2)),rd(X3,ld(X1,rd(X1,X2)))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.144.2.0','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.155.0.1',plain,
% 1.48/1.88 ( mult(mult(ld(X1,rd(X1,X2)),X3),X2) = ld(ld(X4,mult(X4,X2)),rd(X3,ld(X1,rd(X1,X2)))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.155.0.0','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.155.0.2',plain,
% 1.48/1.88 ( mult(mult(ld(X1,rd(X1,X2)),X3),X2) = ld(X2,rd(X3,ld(X1,rd(X1,X2)))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.155.0.1','0.4.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.155.0.3',plain,
% 1.48/1.88 ( mult(mult(ld(X1,rd(X1,X2)),X3),X2) = ld(X2,mult(X3,X2)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.155.0.2','0.22.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.155.1.0',plain,
% 1.48/1.88 ( mult(mult(ld(X1,rd(X1,X2)),X3),X2) = ld(X2,mult(X3,X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.155.0.3']),
% 1.48/1.88 [weight('<149,144,22,[1,0,0,3]>')]).
% 1.48/1.88 cnf('0.155.2.0',plain,
% 1.48/1.88 ( mult(mult(ld(X1,rd(X1,X2)),X3),X2) = ld(X2,mult(X3,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_148]).
% 1.48/1.88 cnf('0.156.0.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(x1,rd(x1,mult(X1,X1))),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.2.2.0','0.149.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.156.1.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(x1,rd(x1,mult(X1,X1))),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.156.0.0']),
% 1.48/1.88 [weight('<149,149,2,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.156.2.0',plain,
% 1.48/1.88 ( mult(ld(x1,rd(x1,mult(X1,X1))),X2) = ld(X1,ld(X1,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_149]).
% 1.48/1.88 cnf('0.160.0.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(X3,rd(X3,mult(X1,X1))),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.156.2.0','0.34.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.160.1.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(X3,rd(X3,mult(X1,X1))),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.160.0.0']),
% 1.48/1.88 [weight('<149,156,34,[1,0,0,1]>')]).
% 1.48/1.88 cnf('0.160.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,mult(X2,X2))),X3) = ld(X2,ld(X2,X3)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_153]).
% 1.48/1.88 cnf('0.165.0.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(X1,ld(x1,rd(x1,X1))),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.160.2.0','0.83.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.165.1.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(X1,ld(x1,rd(x1,X1))),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.165.0.0']),
% 1.48/1.88 [weight('<149,160,83,[1,0,0,3]>')]).
% 1.48/1.88 cnf('0.165.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(x1,rd(x1,X1))),X2) = ld(X1,ld(X1,X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_158]).
% 1.48/1.88 cnf('0.167.0.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(X1,ld(X3,rd(X3,X1))),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.165.2.0','0.34.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.167.1.0',plain,
% 1.48/1.88 ( ld(X1,ld(X1,X2)) = mult(ld(X1,ld(X3,rd(X3,X1))),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.167.0.0']),
% 1.48/1.88 [weight('<149,165,34,[1,0,0,3]>')]).
% 1.48/1.88 cnf('0.167.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,ld(X2,rd(X2,X1))),X3) = ld(X1,ld(X1,X3)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_160]).
% 1.48/1.88 cnf('0.171.0.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(ld(X1,X1),X2)) = mult(ld(ld(X1,X1),ld(mult(X1,X1),mult(X1,X1))),X2) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.167.2.0','0.48.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2.2','L')]).
% 1.48/1.88 cnf('0.171.0.1',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(ld(X1,X1),X2)) = mult(ld(ld(X1,X1),ld(X1,X1)),X2) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.171.0.0','0.47.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1.2','L')]).
% 1.48/1.88 cnf('0.171.0.2',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(ld(X1,X1),X2)) = mult(ld(X1,X1),X2) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.171.0.1','0.79.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.171.1.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(ld(X1,X1),X2)) = mult(ld(X1,X1),X2) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.171.0.2']),
% 1.48/1.88 [weight('<149,167,48,[1,0,0,5]>')]).
% 1.48/1.88 cnf('0.171.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,X1),ld(ld(X1,X1),X2)) = mult(ld(X1,X1),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_164]).
% 1.48/1.88 cnf('0.203.0.0',plain,
% 1.48/1.88 ( rd(mult(X1,ld(X1,X1)),X1) = ld(ld(X2,rd(X2,X1)),ld(X3,rd(X3,X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.144.2.0','0.31.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','R')]).
% 1.48/1.88 cnf('0.203.0.1',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X1,X1)),X1) = ld(ld(X2,rd(X2,X1)),ld(X3,rd(X3,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.203.0.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.203.0.2',plain,
% 1.48/1.88 ( rd(X1,X1) = ld(ld(X2,rd(X2,X1)),ld(X3,rd(X3,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.203.0.1','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.203.0.3',plain,
% 1.48/1.88 ( ld(X1,X1) = ld(ld(X2,rd(X2,X1)),ld(X3,rd(X3,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.203.0.2','0.43.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.203.1.0',plain,
% 1.48/1.88 ( ld(X1,X1) = ld(ld(X2,rd(X2,X1)),ld(X3,rd(X3,X1))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.203.0.3']),
% 1.48/1.88 [weight('<179,144,31,[1,0,1,6]>')]).
% 1.48/1.88 cnf('0.203.2.0',plain,
% 1.48/1.88 ( ld(ld(X1,rd(X1,X2)),ld(X3,rd(X3,X2))) = ld(X2,X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.203.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_194]).
% 1.48/1.88 cnf('0.220.0.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,ld(X3,X3))),X3) = rd(mult(X1,X3),mult(X3,ld(X3,ld(rd(X2,X3),X3)))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.38.2.0','0.62.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.2','L')]).
% 1.48/1.88 cnf('0.220.0.1',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,ld(X3,X3))),X3) = rd(mult(X1,X3),rd(X3,ld(ld(rd(X2,X3),X3),X3))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.220.0.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.220.0.2',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,ld(X3,X3))),X3) = rd(mult(X1,X3),ld(rd(X2,X3),X3)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.220.0.1','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.220.1.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,ld(X3,X3))),X3) = rd(mult(X1,X3),ld(rd(X2,X3),X3)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.220.0.2']),
% 1.48/1.88 [weight('<189,62,38,[0,0,0,6]>')]).
% 1.48/1.88 cnf('0.220.2.0',plain,
% 1.48/1.88 ( rd(rd(X1,ld(X2,ld(X3,X3))),X3) = rd(mult(X1,X3),ld(rd(X2,X3),X3)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_211]).
% 1.48/1.88 cnf('0.352.0.0',plain,
% 1.48/1.88 ( mult(mult(X1,ld(X2,X3)),X4) = mult(rd(X1,X4),ld(rd(X2,X4),mult(X3,X4))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.8.2.0','0.13.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.352.1.0',plain,
% 1.48/1.88 ( mult(mult(X1,ld(X2,X3)),X4) = mult(rd(X1,X4),ld(rd(X2,X4),mult(X3,X4))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.352.0.0']),
% 1.48/1.88 [weight('<227,13,8,[0,0,0,4]>')]).
% 1.48/1.88 cnf('0.352.1.1',plain,
% 1.48/1.88 ( mult(rd(X1,ld(X3,X2)),X4) = mult(rd(X1,X4),ld(rd(X2,X4),mult(X3,X4))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.352.1.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.352.1.2',plain,
% 1.48/1.88 ( mult(rd(X1,ld(X3,X2)),X4) = rd(rd(X1,X4),ld(mult(X3,X4),rd(X2,X4))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.352.1.1','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.352.2.0',plain,
% 1.48/1.88 ( rd(rd(X1,X2),ld(mult(X3,X2),rd(X4,X2))) = mult(rd(X1,ld(X3,X4)),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.352.1.2',theory(equality)]),
% 1.48/1.88 [x,rule_332]).
% 1.48/1.88 cnf('0.399.0.0',plain,
% 1.48/1.88 ( rd(ld(X1,ld(rd(X2,X1),rd(X2,X1))),X1) = mult(ld(X3,rd(X3,X1)),rd(X2,mult(X1,X2))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.92.2.0','0.99.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.399.0.1',plain,
% 1.48/1.88 ( ld(mult(rd(X2,X1),X1),rd(rd(X2,X1),X1)) = mult(ld(X3,rd(X3,X1)),rd(X2,mult(X1,X2))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.399.0.0','0.69.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.399.0.2',plain,
% 1.48/1.88 ( ld(X2,rd(rd(X2,X1),X1)) = mult(ld(X3,rd(X3,X1)),rd(X2,mult(X1,X2))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.399.0.1','0.2.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.399.1.0',plain,
% 1.48/1.88 ( ld(X2,rd(rd(X2,X1),X1)) = mult(ld(X3,rd(X3,X1)),rd(X2,mult(X1,X2))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.399.0.2']),
% 1.48/1.88 [weight('<227,99,92,[0,0,0,6]>')]).
% 1.48/1.88 cnf('0.399.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,rd(X1,X2)),rd(X3,mult(X2,X3))) = ld(X3,rd(rd(X3,X2),X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.399.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_379]).
% 1.48/1.88 cnf('0.400.0.0',plain,
% 1.48/1.88 ( ld(X1,rd(rd(X1,ld(X2,X2)),ld(X2,X2))) = mult(ld(mult(X2,X2),mult(X2,X2)),rd(X1,mult(ld(X2,X2),X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.399.2.0','0.48.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.400.0.1',plain,
% 1.48/1.88 ( ld(X1,X1) = mult(ld(mult(X2,X2),mult(X2,X2)),rd(X1,mult(ld(X2,X2),X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.400.0.0','0.27.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.400.0.2',plain,
% 1.48/1.88 ( ld(X1,X1) = mult(ld(X2,X2),rd(X1,mult(ld(X2,X2),X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.400.0.1','0.47.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.400.1.0',plain,
% 1.48/1.88 ( ld(X1,X1) = mult(ld(X2,X2),rd(X1,mult(ld(X2,X2),X1))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.400.0.2']),
% 1.48/1.88 [weight('<179,399,48,[1,0,0,3]>')]).
% 1.48/1.88 cnf('0.400.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,X1),rd(X2,mult(ld(X1,X1),X2))) = ld(X2,X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.400.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_380]).
% 1.48/1.88 cnf('0.401.0.0',plain,
% 1.48/1.88 ( rd(X1,mult(ld(X2,X2),X1)) = ld(ld(X2,X2),ld(X1,X1)) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.4.2.0','0.400.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2','L')]).
% 1.48/1.88 cnf('0.401.1.0',plain,
% 1.48/1.88 ( rd(X1,mult(ld(X2,X2),X1)) = ld(ld(X2,X2),ld(X1,X1)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.401.0.0']),
% 1.48/1.88 [weight('<119,400,4,[0,0,0,2]>')]).
% 1.48/1.88 cnf('0.401.2.0',plain,
% 1.48/1.88 ( rd(X1,mult(ld(X2,X2),X1)) = ld(ld(X2,X2),ld(X1,X1)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.401.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_381]).
% 1.48/1.88 cnf('0.482.0.0',plain,
% 1.48/1.88 ( ld(X1,mult(ld(X2,X3),X1)) = mult(rd(ld(X4,rd(X4,X1)),ld(X3,X2)),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.155.2.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.482.1.0',plain,
% 1.48/1.88 ( ld(X1,mult(ld(X2,X3),X1)) = mult(rd(ld(X4,rd(X4,X1)),ld(X3,X2)),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.482.0.0']),
% 1.48/1.88 [weight('<227,155,23,[1,0,0,1]>')]).
% 1.48/1.88 cnf('0.482.2.0',plain,
% 1.48/1.88 ( mult(rd(ld(X1,rd(X1,X2)),ld(X3,X4)),X2) = ld(X2,mult(ld(X4,X3),X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.482.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_462]).
% 1.48/1.88 cnf('0.483.0.0',plain,
% 1.48/1.88 ( ld(X1,mult(ld(ld(X2,X2),ld(X3,rd(X3,X2))),X1)) = mult(rd(ld(X4,rd(X4,X1)),X2),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.482.2.0','0.20.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2','L')]).
% 1.48/1.88 cnf('0.483.0.1',plain,
% 1.48/1.88 ( ld(X1,mult(ld(x1,rd(x1,X2)),X1)) = mult(rd(ld(X4,rd(X4,X1)),X2),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.483.0.0','0.74.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.1','L')]).
% 1.48/1.88 cnf('0.483.1.0',plain,
% 1.48/1.88 ( ld(X1,mult(ld(x1,rd(x1,X2)),X1)) = mult(rd(ld(X4,rd(X4,X1)),X2),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.483.0.1']),
% 1.48/1.88 [weight('<189,482,20,[1,0,0,7]>')]).
% 1.48/1.88 cnf('0.483.2.0',plain,
% 1.48/1.88 ( mult(rd(ld(X1,rd(X1,X2)),X3),X2) = ld(X2,mult(ld(x1,rd(x1,X3)),X2)) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.483.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_463]).
% 1.48/1.88 cnf('0.600.0.0',plain,
% 1.48/1.88 ( ld(X1,mult(ld(x1,rd(x1,mult(ld(X2,X2),ld(X3,rd(X3,X1))))),X1)) = mult(ld(ld(X2,X2),ld(ld(X3,rd(X3,X1)),ld(X3,rd(X3,X1)))),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.483.2.0','0.401.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.600.0.1',plain,
% 1.48/1.88 ( ld(X1,mult(ld(x1,rd(x1,rd(ld(X2,X2),ld(rd(X3,X1),X3)))),X1)) = mult(ld(ld(X2,X2),ld(ld(X3,rd(X3,X1)),ld(X3,rd(X3,X1)))),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.600.0.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.1.2.2','L')]).
% 1.48/1.88 cnf('0.600.0.2',plain,
% 1.48/1.88 ( ld(X1,mult(ld(x1,rd(x1,rd(ld(X2,X2),X1))),X1)) = mult(ld(ld(X2,X2),ld(ld(X3,rd(X3,X1)),ld(X3,rd(X3,X1)))),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.600.0.1','0.7.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.2.1.2.2.2','L')]).
% 1.48/1.88 cnf('0.600.0.3',plain,
% 1.48/1.88 ( ld(X1,mult(ld(x1,rd(x1,rd(ld(X2,X2),X1))),X1)) = mult(ld(ld(X2,X2),ld(X1,X1)),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.600.0.2','0.203.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1.2','L')]).
% 1.48/1.88 cnf('0.600.0.4',plain,
% 1.48/1.88 ( ld(X1,mult(ld(x1,rd(x1,rd(ld(X2,X2),X1))),X1)) = ld(X1,ld(rd(ld(X2,X2),X1),X1)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.600.0.3','0.62.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.600.1.0',plain,
% 1.48/1.88 ( mult(ld(x1,rd(x1,rd(ld(X2,X2),X1))),X1) = ld(rd(ld(X2,X2),X1),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.600.0.4']),
% 1.48/1.88 [weight('<227,483,401,[1,0,0,1]>')]).
% 1.48/1.88 cnf('0.600.2.0',plain,
% 1.48/1.88 ( mult(ld(x1,rd(x1,rd(ld(X1,X1),X2))),X2) = ld(rd(ld(X1,X1),X2),X2) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.600.1.0',theory(equality)]),
% 1.48/1.88 [u,rule_580]).
% 1.48/1.88 cnf('0.635.0.0',plain,
% 1.48/1.88 ( ld(rd(ld(X1,X1),ld(X2,ld(X1,X1))),ld(X2,ld(X1,X1))) = mult(ld(x1,rd(x1,X2)),ld(X2,ld(X1,X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.600.2.0','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.2.2','L')]).
% 1.48/1.88 cnf('0.635.0.1',plain,
% 1.48/1.88 ( ld(X2,ld(X2,ld(X1,X1))) = mult(ld(x1,rd(x1,X2)),ld(X2,ld(X1,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.635.0.0','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.635.0.2',plain,
% 1.48/1.88 ( ld(X2,ld(X2,ld(X1,X1))) = rd(ld(x1,rd(x1,X2)),ld(ld(X1,X1),X2)) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.635.0.1','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.635.1.0',plain,
% 1.48/1.88 ( ld(X2,ld(X2,ld(X1,X1))) = rd(ld(x1,rd(x1,X2)),ld(ld(X1,X1),X2)) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.635.0.2']),
% 1.48/1.88 [weight('<227,600,6,[1,0,0,5]>')]).
% 1.48/1.88 cnf('0.635.2.0',plain,
% 1.48/1.88 ( rd(ld(x1,rd(x1,X1)),ld(ld(X2,X2),X1)) = ld(X1,ld(X1,ld(X2,X2))) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.635.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_615]).
% 1.48/1.88 cnf('0.636.0.0',plain,
% 1.48/1.88 ( rd(mult(ld(x1,rd(x1,ld(X1,X1))),X1),ld(rd(ld(X2,X2),X1),X1)) = rd(ld(ld(X1,X1),ld(ld(X1,X1),ld(X2,X2))),X1) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.220.2.0','0.635.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.636.0.1',plain,
% 1.48/1.88 ( rd(mult(ld(X1,X1),X1),ld(rd(ld(X2,X2),X1),X1)) = rd(ld(ld(X1,X1),ld(ld(X1,X1),ld(X2,X2))),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.636.0.0','0.25.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1.1','L')]).
% 1.48/1.88 cnf('0.636.0.2',plain,
% 1.48/1.88 ( rd(X1,ld(rd(ld(X2,X2),X1),X1)) = rd(ld(ld(X1,X1),ld(ld(X1,X1),ld(X2,X2))),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.636.0.1','0.42.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.636.0.3',plain,
% 1.48/1.88 ( rd(ld(X2,X2),X1) = rd(ld(ld(X1,X1),ld(ld(X1,X1),ld(X2,X2))),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.636.0.2','0.6.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('0.636.0.4',plain,
% 1.48/1.88 ( rd(ld(X2,X2),X1) = rd(mult(ld(X1,X1),ld(X2,X2)),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.636.0.3','0.171.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.636.0.5',plain,
% 1.48/1.88 ( rd(ld(X2,X2),X1) = rd(rd(ld(X1,X1),ld(X2,X2)),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.636.0.4','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.636.0.6',plain,
% 1.48/1.88 ( rd(ld(X2,X2),X1) = rd(X1,mult(X1,mult(ld(X2,X2),X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.636.0.5','0.63.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.636.0.7',plain,
% 1.48/1.88 ( rd(ld(X2,X2),X1) = rd(X1,ld(rd(X2,X1),mult(X2,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.636.0.6','0.13.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.2','L')]).
% 1.48/1.88 cnf('0.636.1.0',plain,
% 1.48/1.88 ( rd(ld(X2,X2),X1) = rd(X1,ld(rd(X2,X1),mult(X2,X1))) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.636.0.7']),
% 1.48/1.88 [weight('<149,635,220,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.636.2.0',plain,
% 1.48/1.88 ( rd(X1,ld(rd(X2,X1),mult(X2,X1))) = rd(ld(X2,X2),X1) ),
% 1.48/1.88 inference(orient,[status(thm)],['0.636.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_616]).
% 1.48/1.88 cnf('0.637.0.0',plain,
% 1.48/1.88 ( X1 = mult(rd(ld(X2,X2),X1),ld(rd(X2,X1),mult(X2,X1))) ),
% 1.48/1.88 inference(cp,[status(thm)],['0.2.2.0','0.636.2.0',theory(equality)]),
% 1.48/1.88 [pos('L.1','L')]).
% 1.48/1.88 cnf('0.637.0.1',plain,
% 1.48/1.88 ( X1 = rd(rd(ld(X2,X2),X1),ld(mult(X2,X1),rd(X2,X1))) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.637.0.0','0.23.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.637.0.2',plain,
% 1.48/1.88 ( X1 = mult(rd(ld(X2,X2),ld(X2,X2)),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.637.0.1','0.352.2.0',theory(equality)]),
% 1.48/1.88 [pos('R','L')]).
% 1.48/1.88 cnf('0.637.0.3',plain,
% 1.48/1.88 ( X1 = mult(ld(ld(X2,X2),ld(X2,X2)),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.637.0.2','0.91.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.637.0.4',plain,
% 1.48/1.88 ( X1 = mult(ld(X2,X2),X1) ),
% 1.48/1.88 inference(reduction,[status(thm)],['0.637.0.3','0.79.2.0',theory(equality)]),
% 1.48/1.88 [pos('R.1','L')]).
% 1.48/1.88 cnf('0.637.1.0',plain,
% 1.48/1.88 ( X1 = mult(ld(X2,X2),X1) ),
% 1.48/1.88 inference(weigh,[status(thm)],['0.637.0.4']),
% 1.48/1.88 [weight('<41,636,2,[0,0,0,1]>')]).
% 1.48/1.88 cnf('0.637.2.0',plain,
% 1.48/1.88 ( mult(ld(X1,X1),X2) = X2 ),
% 1.48/1.88 inference(orient,[status(thm)],['0.637.1.0',theory(equality)]),
% 1.48/1.88 [x,rule_617]).
% 1.48/1.88 cnf('1.0.0.0',conjecture,
% 1.48/1.88 ( mult(ld(x1,x1),x0) = x0 ),
% 1.48/1.88 file('/tmp/WALDMEISTER_21188_n028',conjecture_1)).
% 1.48/1.88 cnf('1.0.0.1',plain,
% 1.48/1.88 ( x0 = x0 ),
% 1.48/1.88 inference(reduction,[status(thm)],['1.0.0.0','0.637.2.0',theory(equality)]),
% 1.48/1.88 [pos('L','L')]).
% 1.48/1.88 cnf('1.0.0.2',plain,
% 1.48/1.88 ( $true ),
% 1.48/1.88 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 1.48/1.88 [conjecture_1]).
% 1.48/1.88
% 1.48/1.88 Proved Goals:
% 1.48/1.88 No. 1: mult(ld(x1,x1),x0) ?= x0 joined, current: x0 = x0
% 1.48/1.88 1 goal was specified, which was proved.
% 1.48/1.88 % SZS output end CNFRefutation
% 1.48/1.88 #END OF PROOF
% 1.48/1.88
% 1.48/1.88 Problem WALDMEISTER_21188_n028
% 1.48/1.88 CPs.gen 151396
% 1.48/1.88 CPs.reexp 0
% 1.48/1.88 Select 6016
% 1.48/1.88 R 617
% 1.48/1.88 E 20
% 1.48/1.88 vsize 8.5M
% 1.48/1.88 rss 4.1M
% 1.48/1.88 process.time 0.902s
% 1.48/1.88 wallclock.time 0.902s
% 1.48/1.88 status S
% 1.48/1.88
% 1.48/1.88
% 1.48/1.88 Waldmeister states: Goal proved.
% 1.48/1.88 % SZS status Unsatisfiable
%------------------------------------------------------------------------------