TSTP Solution File: GRP682-11 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP682-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 0.63s 1.08s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP682-11 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.14 % Command : woody %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 07:29:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.63/1.03 ********************************************************************************
% 0.63/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/1.03 * |/ | \/ | *
% 0.63/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/1.03 * A. Jaeger and B. Loechner | | *
% 0.63/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/1.03 ********************************************************************************
% 0.63/1.03
% 0.63/1.03
% 0.63/1.03 Goals:
% 0.63/1.03 ------
% 0.63/1.03
% 0.63/1.03 ( 1) ld(rd(x0,x1),mult(rd(x0,x1),x2)) ?=? ld(x0,mult(x0,x2))
% 0.63/1.03
% 0.63/1.03 Detected structure: Orkus
% 0.63/1.03 ********************************************************************************
% 0.63/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.63/1.03 ********************************************************************************
% 0.63/1.03
% 0.63/1.08 joined goal: 1 ld(rd(x0,x1),mult(rd(x0,x1),x2)) ?= ld(x0,mult(x0,x2)) to ld(x0,mult(x0,x2))
% 0.63/1.08 goal joined
% 0.63/1.08 % SZS status Unsatisfiable
% 0.63/1.08 #START OF PROOF
% 0.63/1.08 % SZS output start CNFRefutation
% 0.63/1.08 cnf('0.1.0.0',axiom,
% 0.63/1.08 ( X1 = rd(mult(X1,X1),X1) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025')).
% 0.63/1.08 cnf('0.1.1.0',plain,
% 0.63/1.08 ( X1 = rd(mult(X1,X1),X1) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.08 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.1.2.0',plain,
% 0.63/1.08 ( rd(mult(X1,X1),X1) = X1 ),
% 0.63/1.08 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_1]).
% 0.63/1.08 cnf('0.2.0.0',axiom,
% 0.63/1.08 ( X1 = ld(X1,mult(X1,X1)) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025')).
% 0.63/1.08 cnf('0.2.1.0',plain,
% 0.63/1.08 ( X1 = ld(X1,mult(X1,X1)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.08 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.08 cnf('0.2.2.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X1)) = X1 ),
% 0.63/1.08 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_2]).
% 0.63/1.08 cnf('0.3.0.0',axiom,
% 0.63/1.08 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),rd(X4,X3)),rd(X4,X3)) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025')).
% 0.63/1.08 cnf('0.3.1.0',plain,
% 0.63/1.08 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),rd(X4,X3)),rd(X4,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.08 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.63/1.08 cnf('0.3.2.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_3]).
% 0.63/1.08 cnf('0.4.0.0',axiom,
% 0.63/1.08 ( mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025')).
% 0.63/1.08 cnf('0.4.1.0',plain,
% 0.63/1.08 ( mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.08 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.63/1.08 cnf('0.4.2.0',plain,
% 0.63/1.08 ( mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_4]).
% 0.63/1.08 cnf('0.5.0.0',axiom,
% 0.63/1.08 ( mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025')).
% 0.63/1.08 cnf('0.5.1.0',plain,
% 0.63/1.08 ( mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.08 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.63/1.08 cnf('0.5.2.0',plain,
% 0.63/1.08 ( mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_5]).
% 0.63/1.08 cnf('0.6.0.0',axiom,
% 0.63/1.08 ( mult(ld(X1,mult(X1,X2)),X3) = ld(ld(X1,X4),mult(ld(X1,X4),mult(X2,X3))) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025')).
% 0.63/1.08 cnf('0.6.1.0',plain,
% 0.63/1.08 ( mult(ld(X1,mult(X1,X2)),X3) = ld(ld(X1,X4),mult(ld(X1,X4),mult(X2,X3))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.63/1.08 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.63/1.08 cnf('0.6.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_6]).
% 0.63/1.08 cnf('0.7.0.0',axiom,
% 0.63/1.08 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025')).
% 0.63/1.08 cnf('0.7.1.0',plain,
% 0.63/1.08 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.08 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.63/1.08 cnf('0.7.2.0',plain,
% 0.63/1.08 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_7]).
% 0.63/1.08 cnf('0.8.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X1,X1))) = rd(rd(mult(X1,X1),X1),X1) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.8.0.1',plain,
% 0.63/1.08 ( ld(X1,ld(X1,mult(X1,X1))) = rd(rd(mult(X1,X1),X1),X1) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.8.0.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.8.0.2',plain,
% 0.63/1.08 ( ld(X1,X1) = rd(rd(mult(X1,X1),X1),X1) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.8.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.8.0.3',plain,
% 0.63/1.08 ( ld(X1,X1) = rd(X1,X1) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.8.0.2','0.1.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1','L')]).
% 0.63/1.08 cnf('0.8.1.0',plain,
% 0.63/1.08 ( ld(X1,X1) = rd(X1,X1) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.8.0.3']),
% 0.63/1.08 [weight('<27,7,5,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.8.2.0',plain,
% 0.63/1.08 ( rd(X1,X1) = ld(X1,X1) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_8]).
% 0.63/1.08 cnf('0.9.0.0',plain,
% 0.63/1.08 ( rd(mult(X1,X1),X1) = mult(ld(X1,X1),X1) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.9.0.1',plain,
% 0.63/1.08 ( X1 = mult(ld(X1,X1),X1) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.9.0.0','0.1.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.9.1.0',plain,
% 0.63/1.08 ( X1 = mult(ld(X1,X1),X1) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.63/1.08 [weight('<41,8,5,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.9.2.0',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X1) = X1 ),
% 0.63/1.08 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_9]).
% 0.63/1.08 cnf('0.12.0.0',plain,
% 0.63/1.08 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),rd(mult(X3,X3),X3)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1.2','L')]).
% 0.63/1.08 cnf('0.12.0.1',plain,
% 0.63/1.08 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.12.1.0',plain,
% 0.63/1.08 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.63/1.08 [weight('<119,3,1,[1,0,0,5]>')]).
% 0.63/1.08 cnf('0.12.2.0',plain,
% 0.63/1.08 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_12]).
% 0.63/1.08 cnf('0.13.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.12.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.13.1.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.63/1.08 [weight('<87,12,1,[1,0,0,2]>')]).
% 0.63/1.08 cnf('0.13.2.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_13]).
% 0.63/1.08 cnf('0.14.0.0',plain,
% 0.63/1.08 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(ld(X1,mult(X1,X1)),mult(X2,X3))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.14.0.1',plain,
% 0.63/1.08 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,mult(X2,X3))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.14.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.1','L')]).
% 0.63/1.08 cnf('0.14.1.0',plain,
% 0.63/1.08 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,mult(X2,X3))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.63/1.08 [weight('<119,6,2,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.14.2.0',plain,
% 0.63/1.08 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,mult(X2,X3))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_14]).
% 0.63/1.08 cnf('0.15.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.15.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.63/1.08 [weight('<87,14,2,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.15.2.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_15]).
% 0.63/1.08 cnf('0.17.0.0',plain,
% 0.63/1.08 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.63/1.08 cnf('0.17.0.1',plain,
% 0.63/1.08 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.17.0.0','0.8.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1.1','L')]).
% 0.63/1.08 cnf('0.17.1.0',plain,
% 0.63/1.08 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.63/1.08 [weight('<119,7,8,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.17.2.0',plain,
% 0.63/1.08 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_17]).
% 0.63/1.08 cnf('0.18.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(ld(X1,X1),X2),X2),X2) = mult(ld(X1,mult(X1,ld(X2,X2))),X2) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.5.2.0','0.17.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.18.0.1',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X2) = mult(ld(X1,mult(X1,ld(X2,X2))),X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.18.0.0','0.13.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.18.0.2',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,mult(ld(X2,X2),X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.18.0.1','0.14.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.18.0.3',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.18.0.2','0.9.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.2','L')]).
% 0.63/1.08 cnf('0.18.1.0',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.18.0.3']),
% 0.63/1.08 [weight('<65,17,5,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.18.2.0',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_18]).
% 0.63/1.08 cnf('0.19.0.0',plain,
% 0.63/1.08 ( ld(X1,X1) = rd(ld(X1,mult(X1,ld(X1,X1))),ld(X1,X1)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.1.2.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.19.0.1',plain,
% 0.63/1.08 ( ld(X1,X1) = rd(ld(X1,ld(X1,mult(X1,X1))),ld(X1,X1)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.19.0.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1.2','L')]).
% 0.63/1.08 cnf('0.19.0.2',plain,
% 0.63/1.08 ( ld(X1,X1) = rd(ld(X1,X1),ld(X1,X1)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.19.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1.2','L')]).
% 0.63/1.08 cnf('0.19.0.3',plain,
% 0.63/1.08 ( ld(X1,X1) = ld(ld(X1,X1),ld(X1,X1)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.19.0.2','0.8.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.19.1.0',plain,
% 0.63/1.08 ( ld(X1,X1) = ld(ld(X1,X1),ld(X1,X1)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.19.0.3']),
% 0.63/1.08 [weight('<87,18,1,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.19.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_19]).
% 0.63/1.08 cnf('0.20.0.0',plain,
% 0.63/1.08 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.63/1.08 cnf('0.20.0.1',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.20.0.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.20.1.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.63/1.08 [weight('<119,17,18,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.20.2.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_20]).
% 0.63/1.08 cnf('0.25.0.0',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X2) = ld(ld(X1,X1),ld(X1,mult(X1,mult(ld(X1,X1),X2)))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.15.2.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.25.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(ld(X1,X1),ld(X1,mult(X1,mult(ld(X1,X1),X2)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.25.0.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.25.0.2',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(ld(X1,X1),ld(X1,mult(X1,ld(X1,mult(X1,X2))))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.25.0.1','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.2.2','L')]).
% 0.63/1.08 cnf('0.25.0.3',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(ld(X1,X1),ld(X1,ld(X1,mult(X1,mult(X1,X2))))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.25.0.2','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.2','L')]).
% 0.63/1.08 cnf('0.25.0.4',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(ld(X1,X1),ld(X1,mult(X1,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.25.0.3','0.15.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.2','L')]).
% 0.63/1.08 cnf('0.25.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(ld(X1,X1),ld(X1,mult(X1,X2))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.25.0.4']),
% 0.63/1.08 [weight('<149,18,15,[0,0,0,2]>')]).
% 0.63/1.08 cnf('0.25.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,X1),ld(X1,mult(X1,X2))) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_25]).
% 0.63/1.08 cnf('0.38.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,ld(X2,X2)),X3),X3) = mult(X1,rd(ld(X2,mult(X2,X3)),X3)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.12.2.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.1','L')]).
% 0.63/1.08 cnf('0.38.1.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,ld(X2,X2)),X3),X3) = mult(X1,rd(ld(X2,mult(X2,X3)),X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.63/1.08 [weight('<189,18,12,[0,0,0,3]>')]).
% 0.63/1.08 cnf('0.38.1.1',plain,
% 0.63/1.08 ( rd(mult(mult(X1,ld(X2,X2)),X3),X3) = mult(X1,ld(X2,mult(X2,ld(X3,X3)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.38.1.0','0.20.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.38.2.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,mult(X2,ld(X3,X3)))) = rd(mult(mult(X1,ld(X2,X2)),X3),X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.38.1.1',theory(equality)]),
% 0.63/1.08 [x,rule_38]).
% 0.63/1.08 cnf('0.39.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,ld(X1,X1)),X2),X2) = ld(X1,mult(X1,mult(X1,ld(X2,X2)))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.38.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.39.0.1',plain,
% 0.63/1.08 ( rd(mult(ld(X1,mult(X1,X1)),X2),X2) = ld(X1,mult(X1,mult(X1,ld(X2,X2)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.39.0.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1.1','L')]).
% 0.63/1.08 cnf('0.39.0.2',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = ld(X1,mult(X1,mult(X1,ld(X2,X2)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.39.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1.1','L')]).
% 0.63/1.08 cnf('0.39.0.3',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = mult(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.39.0.2','0.15.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.39.1.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = mult(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.39.0.3']),
% 0.63/1.08 [weight('<65,38,4,[1,0,0,0]>')]).
% 0.63/1.08 cnf('0.39.2.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_39]).
% 0.63/1.08 cnf('0.43.0.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.63/1.08 cnf('0.43.0.1',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,rd(mult(X1,X2),X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.43.0.0','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.43.1.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,rd(mult(X1,X2),X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.63/1.08 [weight('<119,20,39,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.43.2.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,rd(mult(X1,X2),X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_43]).
% 0.63/1.08 cnf('0.44.0.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,X2)) = rd(rd(mult(mult(X1,ld(X2,X2)),X2),X2),ld(X2,X2)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.13.2.0','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.44.0.1',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = rd(rd(mult(mult(X1,ld(X2,X2)),X2),X2),ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.44.0.0','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.44.0.2',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = rd(rd(mult(rd(mult(X1,X2),X2),X2),X2),ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.44.0.1','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1.1.1','L')]).
% 0.63/1.08 cnf('0.44.0.3',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = rd(rd(rd(mult(mult(X1,X2),X2),X2),X2),ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.44.0.2','0.5.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1.1','L')]).
% 0.63/1.08 cnf('0.44.0.4',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = rd(rd(mult(X1,X2),X2),ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.44.0.3','0.13.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1.1','L')]).
% 0.63/1.08 cnf('0.44.1.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = rd(rd(mult(X1,X2),X2),ld(X2,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.44.0.4']),
% 0.63/1.08 [weight('<149,39,13,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.44.2.0',plain,
% 0.63/1.08 ( rd(rd(mult(X1,X2),X2),ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_44]).
% 0.63/1.08 cnf('0.45.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),X2),X2) = rd(mult(X1,X2),ld(X2,X2)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.44.2.0','0.13.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.45.0.1',plain,
% 0.63/1.08 ( mult(X1,X2) = rd(mult(X1,X2),ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.45.0.0','0.13.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.45.1.0',plain,
% 0.63/1.08 ( mult(X1,X2) = rd(mult(X1,X2),ld(X2,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.63/1.08 [weight('<87,44,13,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.45.2.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),ld(X2,X2)) = mult(X1,X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_45]).
% 0.63/1.08 cnf('0.46.0.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,X2)) = ld(X1,mult(X1,rd(mult(X1,X2),X2))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.15.2.0','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.46.0.1',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = ld(X1,mult(X1,rd(mult(X1,X2),X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.46.0.0','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.46.0.2',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = ld(X1,rd(mult(mult(X1,X1),X2),X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.46.0.1','0.12.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.46.1.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = ld(X1,rd(mult(mult(X1,X1),X2),X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.46.0.2']),
% 0.63/1.08 [weight('<149,39,15,[0,0,0,4]>')]).
% 0.63/1.08 cnf('0.46.2.0',plain,
% 0.63/1.08 ( ld(X1,rd(mult(mult(X1,X1),X2),X2)) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_46]).
% 0.63/1.08 cnf('0.56.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.63/1.08 cnf('0.56.0.1',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.56.0.0','0.12.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.56.1.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.63/1.08 [weight('<?,3,12,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.56.2.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_56]).
% 0.63/1.08 cnf('0.58.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(X1,rd(X2,X3)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.56.2.0','0.13.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.58.1.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(X1,rd(X2,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.63/1.08 [weight('<149,56,13,[1,0,0,0]>')]).
% 0.63/1.08 cnf('0.58.2.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(X1,rd(X2,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_58]).
% 0.63/1.08 cnf('0.59.0.0',plain,
% 0.63/1.08 ( rd(mult(rd(X1,X2),X2),X2) = ld(rd(X1,X2),mult(rd(X1,X2),rd(X1,X2))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.46.2.0','0.58.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.59.0.1',plain,
% 0.63/1.08 ( rd(rd(mult(X1,X2),X2),X2) = ld(rd(X1,X2),mult(rd(X1,X2),rd(X1,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.59.0.0','0.5.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.59.0.2',plain,
% 0.63/1.08 ( rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.59.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.59.1.0',plain,
% 0.63/1.08 ( rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.59.0.2']),
% 0.63/1.08 [weight('<87,58,46,[0,0,0,2]>')]).
% 0.63/1.08 cnf('0.59.2.0',plain,
% 0.63/1.08 ( rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_59]).
% 0.63/1.08 cnf('0.60.0.0',plain,
% 0.63/1.08 ( rd(X1,ld(X2,X2)) = rd(rd(rd(mult(X1,X2),X2),ld(X2,X2)),ld(X2,X2)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.59.2.0','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1.1','L')]).
% 0.63/1.08 cnf('0.60.0.1',plain,
% 0.63/1.08 ( rd(X1,ld(X2,X2)) = rd(rd(mult(X1,X2),X2),ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.60.0.0','0.44.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1','L')]).
% 0.63/1.08 cnf('0.60.0.2',plain,
% 0.63/1.08 ( rd(X1,ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.60.0.1','0.44.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.60.1.0',plain,
% 0.63/1.08 ( rd(X1,ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.60.0.2']),
% 0.63/1.08 [weight('<65,59,39,[1,0,0,2]>')]).
% 0.63/1.08 cnf('0.60.2.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),X2) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_60]).
% 0.63/1.08 cnf('0.61.0.0',plain,
% 0.63/1.08 ( mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.63/1.08 cnf('0.61.0.1',plain,
% 0.63/1.08 ( mult(rd(X1,X2),X2) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.61.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.61.1.0',plain,
% 0.63/1.08 ( mult(rd(X1,X2),X2) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.63/1.08 [weight('<65,5,60,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.61.2.0',plain,
% 0.63/1.08 ( mult(rd(X1,X2),X2) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_61]).
% 0.63/1.08 cnf('0.62.0.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 0.63/1.08 cnf('0.62.0.1',plain,
% 0.63/1.08 ( mult(X1,ld(X2,X2)) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.62.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.62.1.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,X2)) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.63/1.08 [weight('<65,39,60,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.62.2.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,X2)) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_62]).
% 0.63/1.08 cnf('0.63.0.0',plain,
% 0.63/1.08 ( rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 0.63/1.08 cnf('0.63.0.1',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),X2) = rd(X1,X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.63.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.63.1.0',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),X2) = rd(X1,X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.63/1.08 [weight('<87,59,60,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.63.2.0',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),X2) = rd(X1,X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_63]).
% 0.63/1.08 cnf('0.64.0.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),ld(X2,X2)) = mult(rd(X1,ld(X2,X2)),X2) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.61.2.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.64.0.1',plain,
% 0.63/1.08 ( mult(X1,X2) = mult(rd(X1,ld(X2,X2)),X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.64.0.0','0.45.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.64.1.0',plain,
% 0.63/1.08 ( mult(X1,X2) = mult(rd(X1,ld(X2,X2)),X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.64.0.1']),
% 0.63/1.08 [weight('<87,61,60,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.64.2.0',plain,
% 0.63/1.08 ( mult(rd(X1,ld(X2,X2)),X2) = mult(X1,X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_64]).
% 0.63/1.08 cnf('0.66.0.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,rd(mult(X1,X2),X2)) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 0.63/1.08 cnf('0.66.0.1',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,rd(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.66.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.66.1.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,rd(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.66.0.1']),
% 0.63/1.08 [weight('<119,43,60,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.66.2.0',plain,
% 0.63/1.08 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,rd(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_66]).
% 0.63/1.08 cnf('0.67.0.0',plain,
% 0.63/1.08 ( rd(ld(X1,X1),ld(X2,X2)) = rd(ld(X1,mult(X1,X2)),X2) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.60.2.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.67.1.0',plain,
% 0.63/1.08 ( rd(ld(X1,X1),ld(X2,X2)) = rd(ld(X1,mult(X1,X2)),X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.67.0.0']),
% 0.63/1.08 [weight('<119,60,18,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.67.1.1',plain,
% 0.63/1.08 ( rd(ld(X1,X1),ld(X2,X2)) = ld(X1,rd(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.67.1.0','0.66.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.67.2.0',plain,
% 0.63/1.08 ( rd(ld(X1,X1),ld(X2,X2)) = ld(X1,rd(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.67.1.1',theory(equality)]),
% 0.63/1.08 [u,rule_67]).
% 0.63/1.08 cnf('0.70.0.0',plain,
% 0.63/1.08 ( ld(X1,rd(mult(mult(X1,X1),X2),X2)) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.63/1.08 cnf('0.70.0.1',plain,
% 0.63/1.08 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(mult(X1,X2),X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.70.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.70.0.2',plain,
% 0.63/1.08 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.70.0.1','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.70.1.0',plain,
% 0.63/1.08 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.70.0.2']),
% 0.63/1.08 [weight('<149,46,60,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.70.2.0',plain,
% 0.63/1.08 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(X1,ld(X2,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_70]).
% 0.63/1.08 cnf('0.78.0.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,mult(X2,ld(X3,X3)))) = rd(mult(mult(X1,ld(X2,X2)),X3),X3) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 0.63/1.08 cnf('0.78.0.1',plain,
% 0.63/1.08 ( mult(X1,ld(X2,rd(mult(X2,X3),X3))) = rd(mult(mult(X1,ld(X2,X2)),X3),X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.78.0.0','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.78.0.2',plain,
% 0.63/1.08 ( mult(X1,ld(X2,rd(mult(X2,X3),X3))) = rd(mult(rd(mult(X1,X2),X2),X3),X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.78.0.1','0.39.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1.1','L')]).
% 0.63/1.08 cnf('0.78.1.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,rd(mult(X2,X3),X3))) = rd(mult(rd(mult(X1,X2),X2),X3),X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.78.0.2']),
% 0.63/1.08 [weight('<189,38,39,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.78.1.1',plain,
% 0.63/1.08 ( mult(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(mult(rd(mult(X1,X2),X2),X3),X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.78.1.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.78.1.2',plain,
% 0.63/1.08 ( mult(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(rd(mult(X1,X2),X2),ld(X3,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.78.1.1','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.78.1.3',plain,
% 0.63/1.08 ( mult(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(rd(X1,ld(X2,X2)),ld(X3,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.78.1.2','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.1','L')]).
% 0.63/1.08 cnf('0.78.2.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(rd(X1,ld(X2,X2)),ld(X3,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.78.1.3',theory(equality)]),
% 0.63/1.08 [u,rule_78]).
% 0.63/1.08 cnf('0.84.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(ld(X2,X2),X3))) = mult(ld(X1,rd(X1,ld(X2,X2))),X3) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.14.2.0','0.62.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1.2','L')]).
% 0.63/1.08 cnf('0.84.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X2,mult(X2,X3)))) = mult(ld(X1,rd(X1,ld(X2,X2))),X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.84.0.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.84.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X2,mult(X2,X3)))) = mult(ld(X1,rd(X1,ld(X2,X2))),X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.84.0.1']),
% 0.63/1.08 [weight('<189,62,14,[0,0,0,3]>')]).
% 0.63/1.08 cnf('0.84.2.0',plain,
% 0.63/1.08 ( mult(ld(X1,rd(X1,ld(X2,X2))),X3) = ld(X1,mult(X1,ld(X2,mult(X2,X3)))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_84]).
% 0.63/1.08 cnf('0.87.0.0',plain,
% 0.63/1.08 ( ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.63/1.08 cnf('0.87.0.1',plain,
% 0.63/1.08 ( ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = ld(X1,mult(X1,mult(X3,X4))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.87.0.0','0.14.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.87.1.0',plain,
% 0.63/1.08 ( ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = ld(X1,mult(X1,mult(X3,X4))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.87.0.1']),
% 0.63/1.08 [weight('<227,6,14,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.87.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = ld(X1,mult(X1,mult(X3,X4))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_87]).
% 0.63/1.08 cnf('0.88.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(ld(X1,X2),X3))) = mult(ld(X1,X2),X3) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.87.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.88.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(ld(X1,X2),X3))) = mult(ld(X1,X2),X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.88.0.0']),
% 0.63/1.08 [weight('<149,87,15,[1,0,0,0]>')]).
% 0.63/1.08 cnf('0.88.2.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(ld(X1,X2),X3))) = mult(ld(X1,X2),X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_88]).
% 0.63/1.08 cnf('0.100.0.0',plain,
% 0.63/1.08 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.56.2.0'])).
% 0.63/1.08 cnf('0.100.0.1',plain,
% 0.63/1.08 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.100.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.100.0.2',plain,
% 0.63/1.08 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(X1,X2),ld(X4,X4)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.100.0.1','0.60.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.100.1.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(X1,X2),ld(X4,X4)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.100.0.2']),
% 0.63/1.08 [weight('<227,56,60,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.100.2.0',plain,
% 0.63/1.08 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(X1,X2),ld(X4,X4)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_100]).
% 0.63/1.08 cnf('0.101.0.0',plain,
% 0.63/1.08 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = ld(X1,rd(mult(X1,X1),ld(X3,X3))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.70.2.0','0.100.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.101.0.1',plain,
% 0.63/1.08 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.101.0.0','0.70.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.101.1.0',plain,
% 0.63/1.08 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.101.0.1']),
% 0.63/1.08 [weight('<149,100,70,[0,0,0,2]>')]).
% 0.63/1.08 cnf('0.101.2.0',plain,
% 0.63/1.08 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_101]).
% 0.63/1.08 cnf('0.102.0.0',plain,
% 0.63/1.08 ( rd(X1,ld(ld(X2,X2),ld(X2,X2))) = rd(X1,ld(mult(X3,X2),rd(mult(X3,X2),ld(X2,X2)))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.101.2.0','0.45.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.1','L')]).
% 0.63/1.08 cnf('0.102.0.1',plain,
% 0.63/1.08 ( rd(X1,ld(X2,X2)) = rd(X1,ld(mult(X3,X2),rd(mult(X3,X2),ld(X2,X2)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.102.0.0','0.19.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.102.0.2',plain,
% 0.63/1.08 ( rd(X1,ld(X2,X2)) = rd(X1,ld(mult(X3,X2),mult(X3,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.102.0.1','0.45.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.2','L')]).
% 0.63/1.08 cnf('0.102.1.0',plain,
% 0.63/1.08 ( rd(X1,ld(X2,X2)) = rd(X1,ld(mult(X3,X2),mult(X3,X2))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.102.0.2']),
% 0.63/1.08 [weight('<149,101,45,[1,0,0,3]>')]).
% 0.63/1.08 cnf('0.102.2.0',plain,
% 0.63/1.08 ( rd(X1,ld(mult(X2,X3),mult(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_102]).
% 0.63/1.08 cnf('0.118.0.0',plain,
% 0.63/1.08 ( ld(X1,rd(X1,ld(mult(X1,X2),mult(X1,X2)))) = rd(mult(X1,X2),mult(X1,X2)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.66.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.118.0.1',plain,
% 0.63/1.08 ( ld(X1,rd(X1,ld(mult(X1,X2),mult(X1,X2)))) = ld(mult(X1,X2),mult(X1,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.118.0.0','0.8.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.118.1.0',plain,
% 0.63/1.08 ( ld(X1,rd(X1,ld(mult(X1,X2),mult(X1,X2)))) = ld(mult(X1,X2),mult(X1,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.118.0.1']),
% 0.63/1.08 [weight('<227,66,15,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.118.1.1',plain,
% 0.63/1.08 ( ld(X1,rd(X1,ld(X2,X2))) = ld(mult(X1,X2),mult(X1,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.118.1.0','0.102.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.118.2.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(X1,X2)) = ld(X1,rd(X1,ld(X2,X2))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.118.1.1',theory(equality)]),
% 0.63/1.08 [x,rule_118]).
% 0.63/1.08 cnf('0.119.0.0',plain,
% 0.63/1.08 ( rd(X1,ld(mult(X2,X3),mult(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.102.2.0'])).
% 0.63/1.08 cnf('0.119.0.1',plain,
% 0.63/1.08 ( rd(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.119.0.0','0.118.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.119.1.0',plain,
% 0.63/1.08 ( rd(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.119.0.1']),
% 0.63/1.08 [weight('<149,102,118,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.119.2.0',plain,
% 0.63/1.08 ( rd(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_119]).
% 0.63/1.08 cnf('0.129.0.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = mult(ld(X1,rd(X1,ld(X2,X2))),X3) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.18.2.0','0.118.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.129.0.1',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,ld(X2,mult(X2,X3)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.129.0.0','0.84.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.129.1.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,ld(X2,mult(X2,X3)))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.129.0.1']),
% 0.63/1.08 [weight('<189,118,18,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.129.2.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,ld(X2,mult(X2,X3)))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_129]).
% 0.63/1.08 cnf('0.130.0.0',plain,
% 0.63/1.08 ( rd(X1,ld(mult(X2,X3),mult(X2,X3))) = mult(X1,ld(X2,rd(X2,ld(X3,X3)))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.62.2.0','0.118.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.130.0.1',plain,
% 0.63/1.08 ( rd(X1,ld(X2,rd(X2,ld(X3,X3)))) = mult(X1,ld(X2,rd(X2,ld(X3,X3)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.130.0.0','0.118.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.130.0.2',plain,
% 0.63/1.08 ( rd(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(rd(X1,ld(X2,X2)),ld(X3,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.130.0.1','0.78.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.130.1.0',plain,
% 0.63/1.08 ( rd(X1,ld(X2,rd(X2,ld(X3,X3)))) = rd(rd(X1,ld(X2,X2)),ld(X3,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.130.0.2']),
% 0.63/1.08 [weight('<189,118,62,[0,0,0,2]>')]).
% 0.63/1.08 cnf('0.130.1.1',plain,
% 0.63/1.08 ( rd(X1,ld(X3,X3)) = rd(rd(X1,ld(X2,X2)),ld(X3,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.130.1.0','0.119.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.130.2.0',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),ld(X3,X3)) = rd(X1,ld(X3,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.130.1.1',theory(equality)]),
% 0.63/1.08 [x,rule_130]).
% 0.63/1.08 cnf('0.131.0.0',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),X3) = rd(rd(X1,ld(X3,X3)),X3) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.63.2.0','0.130.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.131.0.1',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),X3) = rd(X1,X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.131.0.0','0.63.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.131.1.0',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),X3) = rd(X1,X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.131.0.1']),
% 0.63/1.08 [weight('<87,130,63,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.131.2.0',plain,
% 0.63/1.08 ( rd(rd(X1,ld(X2,X2)),X3) = rd(X1,X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_131]).
% 0.63/1.08 cnf('0.132.0.0',plain,
% 0.63/1.08 ( mult(rd(X1,ld(X2,X2)),X3) = mult(rd(X1,ld(X3,X3)),X3) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.64.2.0','0.131.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.132.0.1',plain,
% 0.63/1.08 ( mult(rd(X1,ld(X2,X2)),X3) = mult(X1,X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.132.0.0','0.64.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.132.1.0',plain,
% 0.63/1.08 ( mult(rd(X1,ld(X2,X2)),X3) = mult(X1,X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.132.0.1']),
% 0.63/1.08 [weight('<87,131,64,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.132.2.0',plain,
% 0.63/1.08 ( mult(rd(X1,ld(X2,X2)),X3) = mult(X1,X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_132]).
% 0.63/1.08 cnf('0.135.0.0',plain,
% 0.63/1.08 ( mult(ld(X1,X1),X2) = mult(ld(X1,rd(X1,ld(X3,X3))),X2) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.132.2.0','0.67.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.135.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = mult(ld(X1,rd(X1,ld(X3,X3))),X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.135.0.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.135.0.2',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(X1,mult(X1,ld(X3,mult(X3,X2)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.135.0.1','0.84.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.135.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(X1,mult(X1,ld(X3,mult(X3,X2)))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.135.0.2']),
% 0.63/1.08 [weight('<149,132,67,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.135.2.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X2,mult(X2,X3)))) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_135]).
% 0.63/1.08 cnf('0.136.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(X1,ld(X2,mult(X2,X3))))) = mult(X1,ld(X1,mult(X1,X3))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.4.2.0','0.135.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.136.0.1',plain,
% 0.63/1.08 ( mult(X1,ld(X2,mult(X2,X3))) = mult(X1,ld(X1,mult(X1,X3))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.136.0.0','0.15.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.136.0.2',plain,
% 0.63/1.08 ( mult(X1,ld(X2,mult(X2,X3))) = ld(X1,mult(X1,mult(X1,X3))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.136.0.1','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.136.0.3',plain,
% 0.63/1.08 ( mult(X1,ld(X2,mult(X2,X3))) = mult(X1,X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.136.0.2','0.15.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.136.1.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,mult(X2,X3))) = mult(X1,X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.136.0.3']),
% 0.63/1.08 [weight('<87,135,4,[0,0,0,2]>')]).
% 0.63/1.08 cnf('0.136.2.0',plain,
% 0.63/1.08 ( mult(X1,ld(X2,mult(X2,X3))) = mult(X1,X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_136]).
% 0.63/1.08 cnf('0.138.0.0',plain,
% 0.63/1.08 ( mult(ld(X1,rd(X1,ld(X2,X2))),X3) = ld(X1,mult(X1,ld(X2,mult(X2,X3)))) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.84.2.0'])).
% 0.63/1.08 cnf('0.138.0.1',plain,
% 0.63/1.08 ( mult(ld(X1,rd(X1,ld(X2,X2))),X3) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.138.0.0','0.135.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.138.1.0',plain,
% 0.63/1.08 ( mult(ld(X1,rd(X1,ld(X2,X2))),X3) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.138.0.1']),
% 0.63/1.08 [weight('<149,84,135,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.138.2.0',plain,
% 0.63/1.08 ( mult(ld(X1,rd(X1,ld(X2,X2))),X3) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_138]).
% 0.63/1.08 cnf('0.139.0.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,ld(X2,mult(X2,X3)))) ),
% 0.63/1.08 inference(interreduction_right,[status(thm)],['0.129.2.0'])).
% 0.63/1.08 cnf('0.139.0.1',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.139.0.0','0.135.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.139.1.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.139.0.1']),
% 0.63/1.08 [weight('<149,129,135,[0,0,0,0]>')]).
% 0.63/1.08 cnf('0.139.2.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_139]).
% 0.63/1.08 cnf('0.142.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(ld(X2,rd(X2,ld(X3,X3))),X4))) = ld(ld(X1,X5),mult(ld(X1,X5),ld(X2,mult(X2,X4)))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.87.2.0','0.138.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.142.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X2,mult(X2,X4)))) = ld(ld(X1,X5),mult(ld(X1,X5),ld(X2,mult(X2,X4)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.142.0.0','0.138.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.142.0.2',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X4)) = ld(ld(X1,X5),mult(ld(X1,X5),ld(X2,mult(X2,X4)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.142.0.1','0.136.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.142.0.3',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X4)) = ld(ld(X1,X5),mult(ld(X1,X5),X4)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.142.0.2','0.136.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.142.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X4)) = ld(ld(X1,X5),mult(ld(X1,X5),X4)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.142.0.3']),
% 0.63/1.08 [weight('<149,138,87,[0,0,0,8]>')]).
% 0.63/1.08 cnf('0.142.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,X2),mult(ld(X1,X2),X3)) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_142]).
% 0.63/1.08 cnf('0.143.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X1,X2))) = ld(X1,X2) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.142.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.143.0.1',plain,
% 0.63/1.08 ( ld(X1,ld(X1,mult(X1,X2))) = ld(X1,X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.143.0.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.143.1.0',plain,
% 0.63/1.08 ( ld(X1,ld(X1,mult(X1,X2))) = ld(X1,X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.143.0.1']),
% 0.63/1.08 [weight('<87,142,2,[1,0,0,0]>')]).
% 0.63/1.08 cnf('0.143.2.0',plain,
% 0.63/1.08 ( ld(X1,ld(X1,mult(X1,X2))) = ld(X1,X2) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_143]).
% 0.63/1.08 cnf('0.144.0.0',plain,
% 0.63/1.08 ( ld(ld(X1,X1),X2) = ld(ld(X1,X1),ld(ld(X1,X1),ld(X1,mult(X1,X2)))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.143.2.0','0.18.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.144.0.1',plain,
% 0.63/1.08 ( ld(ld(X1,X1),X2) = ld(ld(X1,X1),ld(X1,mult(X1,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.144.0.0','0.25.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.144.0.2',plain,
% 0.63/1.08 ( ld(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.144.0.1','0.25.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.144.1.0',plain,
% 0.63/1.08 ( ld(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.144.0.2']),
% 0.63/1.08 [weight('<65,143,18,[1,0,0,4]>')]).
% 0.63/1.08 cnf('0.144.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_144]).
% 0.63/1.08 cnf('0.145.0.0',plain,
% 0.63/1.08 ( ld(X1,ld(X2,mult(X2,X3))) = ld(X1,ld(X1,mult(X1,X3))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.143.2.0','0.136.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2','L')]).
% 0.63/1.08 cnf('0.145.0.1',plain,
% 0.63/1.08 ( ld(X1,ld(X2,mult(X2,X3))) = ld(X1,X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.145.0.0','0.143.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.145.1.0',plain,
% 0.63/1.08 ( ld(X1,ld(X2,mult(X2,X3))) = ld(X1,X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.145.0.1']),
% 0.63/1.08 [weight('<87,143,136,[1,0,0,4]>')]).
% 0.63/1.08 cnf('0.145.2.0',plain,
% 0.63/1.08 ( ld(X1,ld(X2,mult(X2,X3))) = ld(X1,X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_145]).
% 0.63/1.08 cnf('0.147.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(rd(X1,ld(X3,X3)),mult(mult(X1,ld(X3,X3)),X2)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.139.2.0','0.62.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.147.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(rd(X1,ld(X3,X3)),mult(rd(X1,ld(X3,X3)),X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.147.0.0','0.62.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.1','L')]).
% 0.63/1.08 cnf('0.147.0.2',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(rd(X1,ld(X3,X3)),mult(X1,X2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.147.0.1','0.132.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.147.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(rd(X1,ld(X3,X3)),mult(X1,X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.147.0.2']),
% 0.63/1.08 [weight('<149,139,62,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.147.2.0',plain,
% 0.63/1.08 ( ld(rd(X1,ld(X2,X2)),mult(X1,X3)) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_147]).
% 0.63/1.08 cnf('0.148.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X1,X2))) = ld(rd(X1,ld(X3,X3)),ld(X1,mult(X1,X2))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.147.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.148.0.1',plain,
% 0.63/1.08 ( ld(X1,ld(X1,mult(X1,X2))) = ld(rd(X1,ld(X3,X3)),ld(X1,mult(X1,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.148.0.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.148.0.2',plain,
% 0.63/1.08 ( ld(X1,X2) = ld(rd(X1,ld(X3,X3)),ld(X1,mult(X1,X2))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.148.0.1','0.145.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.148.0.3',plain,
% 0.63/1.08 ( ld(X1,X2) = ld(rd(X1,ld(X3,X3)),X2) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.148.0.2','0.145.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.148.1.0',plain,
% 0.63/1.08 ( ld(X1,X2) = ld(rd(X1,ld(X3,X3)),X2) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.148.0.3']),
% 0.63/1.08 [weight('<87,147,4,[1,0,0,6]>')]).
% 0.63/1.08 cnf('0.148.2.0',plain,
% 0.63/1.08 ( ld(rd(X1,ld(X2,X2)),X3) = ld(X1,X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_148]).
% 0.63/1.08 cnf('0.149.0.0',plain,
% 0.63/1.08 ( ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(ld(X1,rd(X1,ld(X2,X2))),X3) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.144.2.0','0.118.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.149.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X3)) = ld(ld(X1,rd(X1,ld(X2,X2))),X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.149.0.0','0.139.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.149.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X3)) = ld(ld(X1,rd(X1,ld(X2,X2))),X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.149.0.1']),
% 0.63/1.08 [weight('<149,144,118,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.149.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,rd(X1,ld(X2,X2))),X3) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_149]).
% 0.63/1.08 cnf('0.153.0.0',plain,
% 0.63/1.08 ( ld(ld(X1,rd(X1,ld(X2,X2))),mult(ld(X1,rd(X1,ld(X2,X2))),X3)) = ld(ld(X1,mult(X1,X4)),mult(ld(ld(X1,rd(X1,ld(X2,X2))),X4),X3)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.142.2.0','0.149.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.153.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,mult(ld(X1,rd(X1,ld(X2,X2))),X3))) = ld(ld(X1,mult(X1,X4)),mult(ld(ld(X1,rd(X1,ld(X2,X2))),X4),X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.153.0.0','0.149.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.153.0.2',plain,
% 0.63/1.08 ( mult(ld(X1,rd(X1,ld(X2,X2))),X3) = ld(ld(X1,mult(X1,X4)),mult(ld(ld(X1,rd(X1,ld(X2,X2))),X4),X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.153.0.1','0.88.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.153.0.3',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X3)) = ld(ld(X1,mult(X1,X4)),mult(ld(ld(X1,rd(X1,ld(X2,X2))),X4),X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.153.0.2','0.138.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.153.0.4',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X3)) = ld(ld(X1,mult(X1,X4)),mult(ld(X1,mult(X1,X4)),X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.153.0.3','0.149.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.1','L')]).
% 0.63/1.08 cnf('0.153.0.5',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X3)) = ld(ld(X1,mult(X1,X4)),ld(X1,mult(X1,mult(X4,X3)))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.153.0.4','0.14.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2','L')]).
% 0.63/1.08 cnf('0.153.0.6',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X3)) = ld(ld(X1,mult(X1,X4)),mult(X4,X3)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.153.0.5','0.145.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.153.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X3)) = ld(ld(X1,mult(X1,X4)),mult(X4,X3)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.153.0.6']),
% 0.63/1.08 [weight('<149,149,142,[0,0,0,1]>')]).
% 0.63/1.08 cnf('0.153.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,mult(X1,X2)),mult(X2,X3)) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_153]).
% 0.63/1.08 cnf('0.154.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X2,X3))) = ld(ld(X1,mult(X1,X2)),ld(X2,mult(X2,X3))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.153.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.154.0.1',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X2,X3))) = ld(ld(X1,mult(X1,X2)),X3) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.154.0.0','0.145.2.0',theory(equality)]),
% 0.63/1.08 [pos('R','L')]).
% 0.63/1.08 cnf('0.154.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(X2,X3))) = ld(ld(X1,mult(X1,X2)),X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.154.0.1']),
% 0.63/1.08 [weight('<119,153,4,[1,0,0,6]>')]).
% 0.63/1.08 cnf('0.154.2.0',plain,
% 0.63/1.08 ( ld(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,ld(X2,X3))) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_154]).
% 0.63/1.08 cnf('0.157.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(mult(X1,X2),X3))) = ld(mult(X1,X2),X3) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.154.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.157.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(mult(X1,X2),X3))) = ld(mult(X1,X2),X3) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.157.0.0']),
% 0.63/1.08 [weight('<149,154,15,[1,0,0,1]>')]).
% 0.63/1.08 cnf('0.157.2.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,ld(mult(X1,X2),X3))) = ld(mult(X1,X2),X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 0.63/1.08 [u,rule_157]).
% 0.63/1.08 cnf('0.162.0.0',plain,
% 0.63/1.08 ( ld(mult(rd(X1,X2),X2),X3) = ld(rd(X1,X2),mult(rd(X1,X2),ld(rd(X1,ld(X2,X2)),X3))) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.157.2.0','0.61.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2.2.1','L')]).
% 0.63/1.08 cnf('0.162.0.1',plain,
% 0.63/1.08 ( ld(rd(X1,ld(X2,X2)),X3) = ld(rd(X1,X2),mult(rd(X1,X2),ld(rd(X1,ld(X2,X2)),X3))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.162.0.0','0.61.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.1','L')]).
% 0.63/1.08 cnf('0.162.0.2',plain,
% 0.63/1.08 ( ld(X1,X3) = ld(rd(X1,X2),mult(rd(X1,X2),ld(rd(X1,ld(X2,X2)),X3))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.162.0.1','0.148.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('0.162.0.3',plain,
% 0.63/1.08 ( ld(X1,X3) = ld(rd(X1,X2),mult(rd(X1,X2),ld(X1,X3))) ),
% 0.63/1.08 inference(reduction,[status(thm)],['0.162.0.2','0.148.2.0',theory(equality)]),
% 0.63/1.08 [pos('R.2.2','L')]).
% 0.63/1.08 cnf('0.162.1.0',plain,
% 0.63/1.08 ( ld(X1,X3) = ld(rd(X1,X2),mult(rd(X1,X2),ld(X1,X3))) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.162.0.3']),
% 0.63/1.08 [weight('<179,157,61,[1,0,0,5]>')]).
% 0.63/1.08 cnf('0.162.2.0',plain,
% 0.63/1.08 ( ld(rd(X1,X2),mult(rd(X1,X2),ld(X1,X3))) = ld(X1,X3) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_162]).
% 0.63/1.08 cnf('0.164.0.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(rd(X1,X3),mult(rd(X1,X3),X2)) ),
% 0.63/1.08 inference(cp,[status(thm)],['0.162.2.0','0.136.2.0',theory(equality)]),
% 0.63/1.08 [pos('L.2','L')]).
% 0.63/1.08 cnf('0.164.1.0',plain,
% 0.63/1.08 ( ld(X1,mult(X1,X2)) = ld(rd(X1,X3),mult(rd(X1,X3),X2)) ),
% 0.63/1.08 inference(weigh,[status(thm)],['0.164.0.0']),
% 0.63/1.08 [weight('<149,162,136,[1,0,0,4]>')]).
% 0.63/1.08 cnf('0.164.2.0',plain,
% 0.63/1.08 ( ld(rd(X1,X2),mult(rd(X1,X2),X3)) = ld(X1,mult(X1,X3)) ),
% 0.63/1.08 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 0.63/1.08 [x,rule_164]).
% 0.63/1.08 cnf('1.0.0.0',conjecture,
% 0.63/1.08 ( ld(rd(x0,x1),mult(rd(x0,x1),x2)) = ld(x0,mult(x0,x2)) ),
% 0.63/1.08 file('/tmp/WALDMEISTER_6063_n025',conjecture_1)).
% 0.63/1.08 cnf('1.0.0.1',plain,
% 0.63/1.08 ( ld(x0,mult(x0,x2)) = ld(x0,mult(x0,x2)) ),
% 0.63/1.08 inference(reduction,[status(thm)],['1.0.0.0','0.164.2.0',theory(equality)]),
% 0.63/1.08 [pos('L','L')]).
% 0.63/1.08 cnf('1.0.0.2',plain,
% 0.63/1.08 ( $true ),
% 0.63/1.08 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.63/1.08 [conjecture_1]).
% 0.63/1.08
% 0.63/1.08 Proved Goals:
% 0.63/1.08 No. 1: ld(rd(x0,x1),mult(rd(x0,x1),x2)) ?= ld(x0,mult(x0,x2)) joined, current: ld(x0,mult(x0,x2)) = ld(x0,mult(x0,x2))
% 0.63/1.08 1 goal was specified, which was proved.
% 0.63/1.08 % SZS output end CNFRefutation
% 0.63/1.08 #END OF PROOF
% 0.63/1.08
% 0.63/1.08 Problem WALDMEISTER_6063_n025
% 0.63/1.08 CPs.gen 6588
% 0.63/1.08 CPs.reexp 0
% 0.63/1.08 Select 305
% 0.63/1.08 R 164
% 0.63/1.08 E 0
% 0.63/1.08 vsize 6.5M
% 0.63/1.08 rss 3.8M
% 0.63/1.08 process.time 0.047s
% 0.63/1.08 wallclock.time 0.047s
% 0.63/1.08 status S
% 0.63/1.08
% 0.63/1.08
% 0.63/1.08 Waldmeister states: Goal proved.
% 0.63/1.08 % SZS status Unsatisfiable
%------------------------------------------------------------------------------