%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP719-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n016.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 12:28:14 EDT 2022
% Result : Unsatisfiable 24.56s 24.94s
% Output : CNFRefutation 24.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP719-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 12:11:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.99 * |/ | \/ | *
% 0.60/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.99 * A. Jaeger and B. Loechner | | *
% 0.60/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 Goals:
% 0.60/0.99 ------
% 0.60/0.99
% 0.60/0.99 ( 1) mult(mult(mult(a,mult(b,mult(b,b))),mult(b,mult(b,b))),c) ?=? mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c)))
% 0.60/0.99
% 0.60/0.99 Detected structure: Loop
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 24.56/24.94 joined goal: 1 mult(mult(mult(a,mult(b,mult(b,b))),mult(b,mult(b,b))),c) ?= mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) to mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a)))))
% 24.56/24.94 goal joined
% 24.56/24.94 % SZS status Unsatisfiable
% 24.56/24.94 #START OF PROOF
% 24.56/24.94 % SZS output start CNFRefutation
% 24.56/24.94 cnf('0.1.0.0',axiom,
% 24.56/24.94 ( X1 = mult(X2,ld(X2,X1)) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.1.1.0',plain,
% 24.56/24.94 ( X1 = mult(X2,ld(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.1.0.0']),
% 24.56/24.94 [weight('<0,0,0,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.1.2.0',plain,
% 24.56/24.94 ( mult(X1,ld(X1,X2)) = X2 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_1]).
% 24.56/24.94 cnf('0.2.0.0',axiom,
% 24.56/24.94 ( X1 = mult(X1,unit) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.2.1.0',plain,
% 24.56/24.94 ( X1 = mult(X1,unit) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.2.0.0']),
% 24.56/24.94 [weight('<1,0,0,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.2.2.0',plain,
% 24.56/24.94 ( mult(X1,unit) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_2]).
% 24.56/24.94 cnf('0.4.0.0',axiom,
% 24.56/24.94 ( X1 = mult(unit,X1) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.4.1.0',plain,
% 24.56/24.94 ( X1 = mult(unit,X1) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.4.0.0']),
% 24.56/24.94 [weight('<3,0,0,[0,0,0,4]>')]).
% 24.56/24.94 cnf('0.4.2.0',plain,
% 24.56/24.94 ( mult(unit,X1) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_4]).
% 24.56/24.94 cnf('0.5.0.0',axiom,
% 24.56/24.94 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.5.1.0',plain,
% 24.56/24.94 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.5.0.0']),
% 24.56/24.94 [weight('<4,0,0,[0,0,0,5]>')]).
% 24.56/24.94 cnf('0.5.2.0',plain,
% 24.56/24.94 ( mult(i(X1),mult(X1,X2)) = X2 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_5]).
% 24.56/24.94 cnf('0.6.0.0',axiom,
% 24.56/24.94 ( X1 = mult(rd(X1,X2),X2) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.6.1.0',plain,
% 24.56/24.94 ( X1 = mult(rd(X1,X2),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.6.0.0']),
% 24.56/24.94 [weight('<5,0,0,[0,0,0,6]>')]).
% 24.56/24.94 cnf('0.6.2.0',plain,
% 24.56/24.94 ( mult(rd(X1,X2),X2) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_6]).
% 24.56/24.94 cnf('0.7.0.0',axiom,
% 24.56/24.94 ( X1 = rd(mult(X1,X2),X2) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.7.1.0',plain,
% 24.56/24.94 ( X1 = rd(mult(X1,X2),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.7.0.0']),
% 24.56/24.94 [weight('<6,0,0,[0,0,0,7]>')]).
% 24.56/24.94 cnf('0.7.2.0',plain,
% 24.56/24.94 ( rd(mult(X1,X2),X2) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_7]).
% 24.56/24.94 cnf('0.8.0.0',axiom,
% 24.56/24.94 ( X1 = ld(X2,mult(X2,X1)) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.8.1.0',plain,
% 24.56/24.94 ( X1 = ld(X2,mult(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.8.0.0']),
% 24.56/24.94 [weight('<7,0,0,[0,0,0,8]>')]).
% 24.56/24.94 cnf('0.8.2.0',plain,
% 24.56/24.94 ( ld(X1,mult(X1,X2)) = X2 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_8]).
% 24.56/24.94 cnf('0.9.0.0',axiom,
% 24.56/24.94 ( mult(X1,X2) = mult(X2,X1) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.9.1.0',plain,
% 24.56/24.94 ( mult(X1,X2) = mult(X2,X1) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.9.0.0']),
% 24.56/24.94 [weight('<8,0,0,[0,0,0,9]>')]).
% 24.56/24.94 cnf('0.9.2.0',plain,
% 24.56/24.94 ( mult(X1,X2) = mult(X2,X1) ),
% 24.56/24.94 inference(activate,[status(thm)],['0.9.1.0']),
% 24.56/24.94 [equation_1]).
% 24.56/24.94 cnf('0.10.0.0',axiom,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2) ),
% 24.56/24.94 file('/tmp/WALDMEISTER_15089_n016')).
% 24.56/24.94 cnf('0.10.1.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.10.0.0']),
% 24.56/24.94 [weight('<9,0,0,[0,0,0,10]>')]).
% 24.56/24.94 cnf('0.10.1.1',plain,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X2,mult(mult(X1,mult(X2,X3)),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.10.1.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.10.1.2',plain,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X2,mult(X1,mult(X1,mult(X2,X3)))) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.10.1.1','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('R.2','L')]).
% 24.56/24.94 cnf('0.10.2.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X2,mult(X1,mult(X1,mult(X2,X3)))) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.10.1.2',theory(equality)]),
% 24.56/24.94 [u,rule_9]).
% 24.56/24.94 cnf('0.11.0.0',plain,
% 24.56/24.94 ( ld(unit,X1) = X1 ),
% 24.56/24.94 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.11.1.0',plain,
% 24.56/24.94 ( ld(unit,X1) = X1 ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.11.0.0']),
% 24.56/24.94 [weight('<19,4,1,[1,0,0,0]>')]).
% 24.56/24.94 cnf('0.11.2.0',plain,
% 24.56/24.94 ( ld(unit,X1) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_10]).
% 24.56/24.94 cnf('0.12.0.0',plain,
% 24.56/24.94 ( mult(X1,X2) = mult(i(i(X1)),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.12.1.0',plain,
% 24.56/24.94 ( X1 = i(i(X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.12.0.0']),
% 24.56/24.94 [weight('<19,5,5,[0,0,0,3]>')]).
% 24.56/24.94 cnf('0.12.2.0',plain,
% 24.56/24.94 ( i(i(X1)) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_11]).
% 24.56/24.94 cnf('0.21.0.0',plain,
% 24.56/24.94 ( ld(X1,X2) = mult(i(X1),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.21.1.0',plain,
% 24.56/24.94 ( ld(X1,X2) = mult(i(X1),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.21.0.0']),
% 24.56/24.94 [weight('<39,5,1,[1,0,0,3]>')]).
% 24.56/24.94 cnf('0.21.2.0',plain,
% 24.56/24.94 ( mult(i(X1),X2) = ld(X1,X2) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_20]).
% 24.56/24.94 cnf('0.22.0.0',plain,
% 24.56/24.94 ( ld(X1,X2) = mult(X2,i(X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.21.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.22.1.0',plain,
% 24.56/24.94 ( ld(X1,X2) = mult(X2,i(X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.22.0.0']),
% 24.56/24.94 [weight('<39,21,9,[1,0,0,0]>')]).
% 24.56/24.94 cnf('0.22.2.0',plain,
% 24.56/24.94 ( mult(X1,i(X2)) = ld(X2,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_21]).
% 24.56/24.94 cnf('0.23.0.0',plain,
% 24.56/24.94 ( ld(i(X1),X2) = mult(X1,X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.21.2.0','0.12.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.23.1.0',plain,
% 24.56/24.94 ( ld(i(X1),X2) = mult(X1,X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.23.0.0']),
% 24.56/24.94 [weight('<39,21,12,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.23.2.0',plain,
% 24.56/24.94 ( ld(i(X1),X2) = mult(X1,X2) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_22]).
% 24.56/24.94 cnf('0.24.0.0',plain,
% 24.56/24.94 ( mult(rd(X1,X2),X2) = X1 ),
% 24.56/24.94 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 24.56/24.94 cnf('0.24.1.0',plain,
% 24.56/24.94 ( mult(rd(X1,X2),X2) = X1 ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.24.0.0']),
% 24.56/24.94 [weight('<41,6,9,[0,0,0,0]>')]).
% 24.56/24.94 cnf('0.24.1.1',plain,
% 24.56/24.94 ( mult(X2,rd(X1,X2)) = X1 ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.24.1.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.24.2.0',plain,
% 24.56/24.94 ( mult(X1,rd(X2,X1)) = X2 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 24.56/24.94 [u,rule_23]).
% 24.56/24.94 cnf('0.25.0.0',plain,
% 24.56/24.94 ( rd(X1,X2) = ld(X2,X1) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.8.2.0','0.24.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.25.1.0',plain,
% 24.56/24.94 ( rd(X1,X2) = ld(X2,X1) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.25.0.0']),
% 24.56/24.94 [weight('<27,24,8,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.25.2.0',plain,
% 24.56/24.94 ( rd(X1,X2) = ld(X2,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_24]).
% 24.56/24.94 cnf('0.26.0.0',plain,
% 24.56/24.94 ( rd(mult(X1,X2),X2) = X1 ),
% 24.56/24.94 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 24.56/24.94 cnf('0.26.0.1',plain,
% 24.56/24.94 ( ld(X2,mult(X1,X2)) = X1 ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.26.0.0','0.25.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.26.1.0',plain,
% 24.56/24.94 ( ld(X2,mult(X1,X2)) = X1 ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.26.0.1']),
% 24.56/24.94 [weight('<41,7,25,[0,0,0,0]>')]).
% 24.56/24.94 cnf('0.26.2.0',plain,
% 24.56/24.94 ( ld(X1,mult(X2,X1)) = X2 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_25]).
% 24.56/24.94 cnf('0.27.0.0',plain,
% 24.56/24.94 ( X1 = ld(ld(X1,X2),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.26.2.0','0.1.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.27.1.0',plain,
% 24.56/24.94 ( X1 = ld(ld(X1,X2),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.27.0.0']),
% 24.56/24.94 [weight('<41,26,1,[1,0,0,2]>')]).
% 24.56/24.94 cnf('0.27.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X2) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_26]).
% 24.56/24.94 cnf('0.28.0.0',plain,
% 24.56/24.94 ( i(X1) = ld(X2,ld(X1,X2)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.8.2.0','0.22.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.28.1.0',plain,
% 24.56/24.94 ( i(X1) = ld(X2,ld(X1,X2)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.28.0.0']),
% 24.56/24.94 [weight('<47,22,8,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.28.2.0',plain,
% 24.56/24.94 ( ld(X1,ld(X2,X1)) = i(X2) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_27]).
% 24.56/24.94 cnf('0.29.0.0',plain,
% 24.56/24.94 ( i(ld(X1,X2)) = ld(X2,X1) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.28.2.0','0.27.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.29.1.0',plain,
% 24.56/24.94 ( i(ld(X1,X2)) = ld(X2,X1) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.29.0.0']),
% 24.56/24.94 [weight('<39,28,27,[1,0,0,2]>')]).
% 24.56/24.94 cnf('0.29.2.0',plain,
% 24.56/24.94 ( i(ld(X1,X2)) = ld(X2,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_28]).
% 24.56/24.94 cnf('0.30.0.0',plain,
% 24.56/24.94 ( ld(X1,i(X2)) = i(mult(X2,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.29.2.0','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.30.1.0',plain,
% 24.56/24.94 ( ld(X1,i(X2)) = i(mult(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.30.0.0']),
% 24.56/24.94 [weight('<44,29,23,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.30.2.0',plain,
% 24.56/24.94 ( i(mult(X1,X2)) = ld(X2,i(X1)) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_29]).
% 24.56/24.94 cnf('0.31.0.0',plain,
% 24.56/24.94 ( i(X1) = ld(mult(X1,X2),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.27.2.0','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.31.1.0',plain,
% 24.56/24.94 ( i(X1) = ld(mult(X1,X2),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.31.0.0']),
% 24.56/24.94 [weight('<47,27,23,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.31.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),X2) = i(X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_30]).
% 24.56/24.94 cnf('0.32.0.0',plain,
% 24.56/24.94 ( i(X1) = ld(mult(X2,X1),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.28.2.0','0.26.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.32.1.0',plain,
% 24.56/24.94 ( i(X1) = ld(mult(X2,X1),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.32.0.0']),
% 24.56/24.94 [weight('<47,28,26,[1,0,0,2]>')]).
% 24.56/24.94 cnf('0.32.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),X1) = i(X2) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_31]).
% 24.56/24.94 cnf('0.35.0.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.21.2.0','0.29.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.35.1.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.35.0.0']),
% 24.56/24.94 [weight('<65,29,21,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.35.2.0',plain,
% 24.56/24.94 ( mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_34]).
% 24.56/24.94 cnf('0.36.0.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X3) = mult(X3,ld(X2,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.22.2.0','0.29.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.36.1.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X3) = mult(X3,ld(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.36.0.0']),
% 24.56/24.94 [weight('<65,29,22,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.36.2.0',plain,
% 24.56/24.94 ( mult(X1,ld(X2,X3)) = ld(ld(X3,X2),X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_35]).
% 24.56/24.94 cnf('0.37.0.0',plain,
% 24.56/24.94 ( ld(X1,i(X2)) = ld(X2,i(X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.22.2.0','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.37.1.0',plain,
% 24.56/24.94 ( ld(X1,i(X2)) = ld(X2,i(X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.37.0.0']),
% 24.56/24.94 [weight('<80,22,21,[1,0,0,0]>')]).
% 24.56/24.94 cnf('0.37.2.0',plain,
% 24.56/24.94 ( ld(X1,i(X2)) = ld(X2,i(X1)) ),
% 24.56/24.94 inference(activate,[status(thm)],['0.37.1.0']),
% 24.56/24.94 [equation_2]).
% 24.56/24.94 cnf('0.38.0.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),X3) = ld(ld(X2,i(X1)),X3) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.23.2.0','0.30.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.38.1.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),X3) = ld(ld(X2,i(X1)),X3) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.38.0.0']),
% 24.56/24.94 [weight('<83,30,23,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.38.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,i(X2)),X3) = mult(mult(X2,X1),X3) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_36]).
% 24.56/24.94 cnf('0.39.0.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),i(X3)) = ld(X3,ld(X2,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.35.2.0','0.22.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.39.1.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),i(X3)) = ld(X3,ld(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.39.0.0']),
% 24.56/24.94 [weight('<83,35,22,[1,0,0,0]>')]).
% 24.56/24.94 cnf('0.39.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),i(X3)) = ld(X3,ld(X2,X1)) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_37]).
% 24.56/24.94 cnf('0.40.0.0',plain,
% 24.56/24.94 ( X1 = ld(ld(X2,X3),ld(ld(X3,X2),X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.8.2.0','0.35.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.40.1.0',plain,
% 24.56/24.94 ( X1 = ld(ld(X2,X3),ld(ld(X3,X2),X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.40.0.0']),
% 24.56/24.94 [weight('<109,35,8,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.40.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),ld(ld(X2,X1),X3)) = X3 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_38]).
% 24.56/24.94 cnf('0.41.0.0',plain,
% 24.56/24.94 ( X1 = ld(ld(X2,i(X3)),ld(ld(i(X2),X3),X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.40.2.0','0.37.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.41.0.1',plain,
% 24.56/24.94 ( X1 = mult(mult(X3,X2),ld(ld(i(X2),X3),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.41.0.0','0.38.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.41.0.2',plain,
% 24.56/24.94 ( X1 = ld(ld(X1,ld(i(X2),X3)),mult(X3,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.41.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.41.0.3',plain,
% 24.56/24.94 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.41.0.2','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('R.1.2','L')]).
% 24.56/24.94 cnf('0.41.1.0',plain,
% 24.56/24.94 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.41.0.3']),
% 24.56/24.94 [weight('<109,40,37,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.41.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,mult(X2,X3)),mult(X3,X2)) = X1 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_39]).
% 24.56/24.94 cnf('0.42.0.0',plain,
% 24.56/24.94 ( unit = ld(mult(X1,X2),mult(X2,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.41.2.0','0.11.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.42.1.0',plain,
% 24.56/24.94 ( unit = ld(mult(X1,X2),mult(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.42.0.0']),
% 24.56/24.94 [weight('<71,41,11,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.42.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),mult(X2,X1)) = unit ),
% 24.56/24.94 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_40]).
% 24.56/24.94 cnf('0.43.0.0',plain,
% 24.56/24.94 ( X1 = ld(ld(i(X2),X3),ld(ld(X2,i(X3)),X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.40.2.0','0.37.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2.1','L')]).
% 24.56/24.94 cnf('0.43.0.1',plain,
% 24.56/24.94 ( X1 = ld(mult(X2,X3),ld(ld(X2,i(X3)),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.43.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('R.1','L')]).
% 24.56/24.94 cnf('0.43.0.2',plain,
% 24.56/24.94 ( X1 = ld(mult(X2,X3),mult(mult(X3,X2),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.43.0.1','0.38.2.0',theory(equality)]),
% 24.56/24.94 [pos('R.2','L')]).
% 24.56/24.94 cnf('0.43.1.0',plain,
% 24.56/24.94 ( X1 = ld(mult(X2,X3),mult(mult(X3,X2),X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.43.0.2']),
% 24.56/24.94 [weight('<109,40,37,[1,0,0,5]>')]).
% 24.56/24.94 cnf('0.43.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),mult(mult(X2,X1),X3)) = X3 ),
% 24.56/24.94 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_41]).
% 24.56/24.94 cnf('0.45.0.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,mult(X2,mult(X1,unit)))) = mult(mult(X2,X1),mult(X2,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.45.0.1',plain,
% 24.56/24.94 ( mult(X1,mult(X2,mult(X2,X1))) = mult(mult(X2,X1),mult(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.45.0.0','0.2.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2.2.2','L')]).
% 24.56/24.94 cnf('0.45.1.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,mult(X2,X1))) = mult(mult(X2,X1),mult(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.45.0.1']),
% 24.56/24.94 [weight('<119,10,4,[1,0,0,4]>')]).
% 24.56/24.94 cnf('0.45.2.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X1,X2)) = mult(X2,mult(X1,mult(X1,X2))) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_43]).
% 24.56/24.94 cnf('0.48.0.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),ld(X3,mult(X2,X1))) = i(X3) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.29.2.0','0.41.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.48.1.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),ld(X3,mult(X2,X1))) = i(X3) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.48.0.0']),
% 24.56/24.94 [weight('<119,41,29,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.48.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),ld(X3,mult(X2,X1))) = i(X3) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_46]).
% 24.56/24.94 cnf('0.49.0.0',plain,
% 24.56/24.94 ( ld(mult(mult(X1,X2),X3),mult(X2,X1)) = i(X3) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.29.2.0','0.43.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.49.1.0',plain,
% 24.56/24.94 ( ld(mult(mult(X1,X2),X3),mult(X2,X1)) = i(X3) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.49.0.0']),
% 24.56/24.94 [weight('<119,43,29,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.49.2.0',plain,
% 24.56/24.94 ( ld(mult(mult(X1,X2),X3),mult(X2,X1)) = i(X3) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_47]).
% 24.56/24.94 cnf('0.52.0.0',plain,
% 24.56/24.94 ( mult(X1,mult(i(X2),mult(i(X2),X1))) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.45.2.0','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.52.0.1',plain,
% 24.56/24.94 ( mult(X1,ld(X2,mult(i(X2),X1))) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.52.0.0','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.52.0.2',plain,
% 24.56/24.94 ( ld(ld(mult(i(X2),X1),X2),X1) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.52.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.52.0.3',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.52.0.2','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1.1','L')]).
% 24.56/24.94 cnf('0.52.0.4',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),mult(i(X2),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.52.0.3','0.35.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.52.0.5',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.52.0.4','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('R.2','L')]).
% 24.56/24.94 cnf('0.52.1.0',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.52.0.5']),
% 24.56/24.94 [weight('<119,45,21,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.52.2.0',plain,
% 24.56/24.94 ( ld(ld(ld(X1,X2),X1),X2) = ld(ld(X2,X1),ld(X1,X2)) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_49]).
% 24.56/24.94 cnf('0.53.0.0',plain,
% 24.56/24.94 ( ld(ld(mult(X1,X2),X1),ld(X1,mult(X1,X2))) = ld(ld(X2,X1),mult(X1,X2)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.52.2.0','0.8.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1.1','L')]).
% 24.56/24.94 cnf('0.53.0.1',plain,
% 24.56/24.94 ( ld(i(X2),ld(X1,mult(X1,X2))) = ld(ld(X2,X1),mult(X1,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.53.0.0','0.32.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.53.0.2',plain,
% 24.56/24.94 ( mult(X2,ld(X1,mult(X1,X2))) = ld(ld(X2,X1),mult(X1,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.53.0.1','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.53.0.3',plain,
% 24.56/24.94 ( ld(ld(mult(X1,X2),X1),X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.53.0.2','0.36.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.53.0.4',plain,
% 24.56/24.94 ( ld(i(X2),X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.53.0.3','0.32.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.53.0.5',plain,
% 24.56/24.94 ( mult(X2,X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.53.0.4','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.53.1.0',plain,
% 24.56/24.94 ( mult(X2,X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.53.0.5']),
% 24.56/24.94 [weight('<87,52,8,[1,0,0,2]>')]).
% 24.56/24.94 cnf('0.53.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),mult(X2,X1)) = mult(X1,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_50]).
% 24.56/24.94 cnf('0.55.0.0',plain,
% 24.56/24.94 ( ld(ld(X1,ld(X2,X1)),ld(ld(X2,X1),X1)) = ld(ld(X2,ld(X2,X1)),X1) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.52.2.0','0.27.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1.1','L')]).
% 24.56/24.94 cnf('0.55.0.1',plain,
% 24.56/24.94 ( ld(i(X2),ld(ld(X2,X1),X1)) = ld(ld(X2,ld(X2,X1)),X1) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.55.0.0','0.28.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.55.0.2',plain,
% 24.56/24.94 ( mult(X2,ld(ld(X2,X1),X1)) = ld(ld(X2,ld(X2,X1)),X1) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.55.0.1','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.55.0.3',plain,
% 24.56/24.94 ( ld(ld(X1,ld(X2,X1)),X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.55.0.2','0.36.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.55.0.4',plain,
% 24.56/24.94 ( ld(i(X2),X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.55.0.3','0.28.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.55.0.5',plain,
% 24.56/24.94 ( mult(X2,X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.55.0.4','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.55.1.0',plain,
% 24.56/24.94 ( mult(X2,X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.55.0.5']),
% 24.56/24.94 [weight('<87,52,27,[1,0,0,2]>')]).
% 24.56/24.94 cnf('0.55.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,ld(X1,X2)),X2) = mult(X1,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_52]).
% 24.56/24.94 cnf('0.56.0.0',plain,
% 24.56/24.94 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.27.2.0','0.55.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.56.1.0',plain,
% 24.56/24.94 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.56.0.0']),
% 24.56/24.94 [weight('<65,55,27,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.56.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_53]).
% 24.56/24.94 cnf('0.57.0.0',plain,
% 24.56/24.94 ( i(ld(X1,ld(X1,X2))) = ld(X2,mult(X1,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.28.2.0','0.55.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.57.0.1',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.57.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.57.1.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.57.0.1']),
% 24.56/24.94 [weight('<65,55,28,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.57.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 24.56/24.94 [u,rule_54]).
% 24.56/24.94 cnf('0.58.0.0',plain,
% 24.56/24.94 ( ld(i(X1),mult(X2,X2)) = ld(ld(X1,i(X2)),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.57.2.0','0.37.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.58.0.1',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = ld(ld(X1,i(X2)),X2) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.58.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.58.0.2',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(mult(X2,X1),X2) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.58.0.1','0.38.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.58.1.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(mult(X2,X1),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.58.0.2']),
% 24.56/24.94 [weight('<65,57,37,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.58.1.1',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.58.1.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.58.2.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X2,X1)) ),
% 24.56/24.94 inference(activate,[status(thm)],['0.58.1.1']),
% 24.56/24.94 [equation_4]).
% 24.56/24.94 cnf('0.59.0.0',plain,
% 24.56/24.94 ( ld(i(X1),mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.57.2.0','0.38.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.59.0.1',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.59.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.59.1.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.59.0.1']),
% 24.56/24.94 [weight('<65,57,38,[1,0,0,0]>')]).
% 24.56/24.94 cnf('0.59.1.1',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X1,X2)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.59.1.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.59.2.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X1,X2)) ),
% 24.56/24.94 inference(activate,[status(thm)],['0.59.1.1']),
% 24.56/24.94 [equation_5]).
% 24.56/24.94 cnf('0.60.0.0',plain,
% 24.56/24.94 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.58.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.60.1.0',plain,
% 24.56/24.94 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.60.0.0']),
% 24.56/24.94 [weight('<65,58,9,[1,0,0,0]>')]).
% 24.56/24.94 cnf('0.60.2.0',plain,
% 24.56/24.94 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_55]).
% 24.56/24.94 cnf('0.63.0.0',plain,
% 24.56/24.94 ( i(ld(X1,X2)) = ld(mult(X2,X1),mult(X1,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.28.2.0','0.53.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.63.0.1',plain,
% 24.56/24.94 ( ld(X2,X1) = ld(mult(X2,X1),mult(X1,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.63.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.63.1.0',plain,
% 24.56/24.94 ( ld(X2,X1) = ld(mult(X2,X1),mult(X1,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.63.0.1']),
% 24.56/24.94 [weight('<87,53,28,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.63.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),mult(X2,X2)) = ld(X1,X2) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_58]).
% 24.56/24.94 cnf('0.64.0.0',plain,
% 24.56/24.94 ( mult(X1,X2) = ld(ld(X1,X2),mult(X2,X2)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.40.2.0','0.53.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.64.1.0',plain,
% 24.56/24.94 ( mult(X1,X2) = ld(ld(X1,X2),mult(X2,X2)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.64.0.0']),
% 24.56/24.94 [weight('<87,53,40,[0,0,0,4]>')]).
% 24.56/24.94 cnf('0.64.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_59]).
% 24.56/24.94 cnf('0.65.0.0',plain,
% 24.56/24.94 ( i(ld(X1,X2)) = ld(mult(X1,X2),mult(X1,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.48.2.0','0.53.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.65.0.1',plain,
% 24.56/24.94 ( ld(X2,X1) = ld(mult(X1,X2),mult(X1,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.65.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.65.1.0',plain,
% 24.56/24.94 ( ld(X2,X1) = ld(mult(X1,X2),mult(X1,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.65.0.1']),
% 24.56/24.94 [weight('<87,53,48,[0,0,0,4]>')]).
% 24.56/24.94 cnf('0.65.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),mult(X1,X1)) = ld(X2,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_60]).
% 24.56/24.94 cnf('0.66.0.0',plain,
% 24.56/24.94 ( ld(X1,X2) = ld(ld(X2,mult(X1,X1)),X1) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.27.2.0','0.57.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.66.1.0',plain,
% 24.56/24.94 ( ld(X1,X2) = ld(ld(X2,mult(X1,X1)),X1) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.66.0.0']),
% 24.56/24.94 [weight('<87,57,27,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.66.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,mult(X2,X2)),X2) = ld(X2,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_61]).
% 24.56/24.94 cnf('0.67.0.0',plain,
% 24.56/24.94 ( i(ld(X1,X2)) = ld(X1,ld(X2,mult(X1,X1))) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.28.2.0','0.57.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.67.0.1',plain,
% 24.56/24.94 ( ld(X2,X1) = ld(X1,ld(X2,mult(X1,X1))) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.67.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.67.1.0',plain,
% 24.56/24.94 ( ld(X2,X1) = ld(X1,ld(X2,mult(X1,X1))) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.67.0.1']),
% 24.56/24.94 [weight('<87,57,28,[0,0,0,2]>')]).
% 24.56/24.94 cnf('0.67.2.0',plain,
% 24.56/24.94 ( ld(X1,ld(X2,mult(X1,X1))) = ld(X2,X1) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_62]).
% 24.56/24.94 cnf('0.68.0.0',plain,
% 24.56/24.94 ( mult(X1,X2) = ld(X1,mult(X2,mult(X1,X1))) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.8.2.0','0.58.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','R')]).
% 24.56/24.94 cnf('0.68.1.0',plain,
% 24.56/24.94 ( mult(X1,X2) = ld(X1,mult(X2,mult(X1,X1))) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.68.0.0']),
% 24.56/24.94 [weight('<87,58,8,[0,1,0,2]>')]).
% 24.56/24.94 cnf('0.68.2.0',plain,
% 24.56/24.94 ( ld(X1,mult(X2,mult(X1,X1))) = mult(X1,X2) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_63]).
% 24.56/24.94 cnf('0.82.0.0',plain,
% 24.56/24.94 ( mult(X1,mult(i(X2),mult(i(X2),X1))) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.45.2.0','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.82.0.1',plain,
% 24.56/24.94 ( mult(X1,ld(X2,mult(i(X2),X1))) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.0.0','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.82.0.2',plain,
% 24.56/24.94 ( ld(ld(mult(i(X2),X1),X2),X1) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.82.0.3',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.0.2','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1.1','L')]).
% 24.56/24.94 cnf('0.82.0.4',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),mult(i(X2),X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.0.3','0.36.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.82.0.5',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.0.4','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('R.2','L')]).
% 24.56/24.94 cnf('0.82.1.0',plain,
% 24.56/24.94 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.82.0.5']),
% 24.56/24.94 [weight('<119,45,21,[1,0,0,4]>')]).
% 24.56/24.94 cnf('0.82.1.1',plain,
% 24.56/24.94 ( ld(ld(X1,mult(X2,X2)),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.1.0','0.57.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.82.1.2',plain,
% 24.56/24.94 ( ld(mult(X2,X2),mult(X1,X1)) = ld(ld(X1,X2),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.1.1','0.57.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.82.1.3',plain,
% 24.56/24.94 ( ld(X2,ld(X2,mult(X1,X1))) = ld(ld(X1,X2),ld(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.82.1.2','0.56.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.82.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),ld(X2,X1)) = ld(X2,ld(X2,mult(X1,X1))) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.82.1.3',theory(equality)]),
% 24.56/24.94 [x,rule_75]).
% 24.56/24.94 cnf('0.89.0.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),X3) = ld(i(X3),mult(X2,X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.41.2.0','0.32.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.89.0.1',plain,
% 24.56/24.94 ( mult(mult(X1,X2),X3) = mult(X3,mult(X2,X1)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.89.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.89.1.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),X3) = mult(X3,mult(X2,X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.89.0.1']),
% 24.56/24.94 [weight('<120,41,32,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.89.2.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),X3) = mult(X3,mult(X2,X1)) ),
% 24.56/24.94 inference(activate,[status(thm)],['0.89.1.0']),
% 24.56/24.94 [equation_11]).
% 24.56/24.94 cnf('0.92.0.0',plain,
% 24.56/24.94 ( mult(mult(mult(X1,X2),X3),X4) = ld(ld(X3,ld(X2,i(X1))),X4) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.38.2.0','0.30.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1.2','L')]).
% 24.56/24.94 cnf('0.92.1.0',plain,
% 24.56/24.94 ( mult(mult(mult(X1,X2),X3),X4) = ld(ld(X3,ld(X2,i(X1))),X4) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.92.0.0']),
% 24.56/24.94 [weight('<143,38,30,[1,0,0,3]>')]).
% 24.56/24.94 cnf('0.92.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,ld(X2,i(X3))),X4) = mult(mult(mult(X3,X2),X1),X4) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_81]).
% 24.56/24.94 cnf('0.93.0.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,i(X1))) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.39.2.0','0.30.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.93.1.0',plain,
% 24.56/24.94 ( ld(mult(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,i(X1))) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.93.0.0']),
% 24.56/24.94 [weight('<143,39,30,[1,0,0,4]>')]).
% 24.56/24.94 cnf('0.93.2.0',plain,
% 24.56/24.94 ( ld(ld(X1,X2),ld(X3,i(X4))) = ld(mult(X4,X3),ld(X2,X1)) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_82]).
% 24.56/24.94 cnf('0.116.0.0',plain,
% 24.56/24.94 ( unit = ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.42.2.0','0.89.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.116.1.0',plain,
% 24.56/24.94 ( unit = ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.116.0.0']),
% 24.56/24.94 [weight('<155,89,42,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.116.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = unit ),
% 24.56/24.94 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_100]).
% 24.56/24.94 cnf('0.119.0.0',plain,
% 24.56/24.94 ( unit = ld(mult(X1,mult(X2,X3)),mult(mult(X3,X2),X1)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.116.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.119.1.0',plain,
% 24.56/24.94 ( unit = ld(mult(X1,mult(X2,X3)),mult(mult(X3,X2),X1)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.119.0.0']),
% 24.56/24.94 [weight('<155,116,9,[1,0,0,6]>')]).
% 24.56/24.94 cnf('0.119.2.0',plain,
% 24.56/24.94 ( ld(mult(X1,mult(X2,X3)),mult(mult(X3,X2),X1)) = unit ),
% 24.56/24.94 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_103]).
% 24.56/24.94 cnf('0.126.0.0',plain,
% 24.56/24.94 ( i(mult(mult(X1,X2),X3)) = ld(mult(X2,X1),i(X3)) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.48.2.0','0.32.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.126.0.1',plain,
% 24.56/24.94 ( ld(X3,i(mult(X1,X2))) = ld(mult(X2,X1),i(X3)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.126.0.0','0.30.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.126.0.2',plain,
% 24.56/24.94 ( ld(X3,ld(X2,i(X1))) = ld(mult(X2,X1),i(X3)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.126.0.1','0.30.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2','L')]).
% 24.56/24.94 cnf('0.126.1.0',plain,
% 24.56/24.94 ( ld(X3,ld(X2,i(X1))) = ld(mult(X2,X1),i(X3)) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.126.0.2']),
% 24.56/24.94 [weight('<168,48,32,[1,0,0,4]>')]).
% 24.56/24.94 cnf('0.126.2.0',plain,
% 24.56/24.94 ( ld(X1,ld(X2,i(X3))) = ld(mult(X2,X3),i(X1)) ),
% 24.56/24.94 inference(activate,[status(thm)],['0.126.1.0']),
% 24.56/24.94 [equation_19]).
% 24.56/24.94 cnf('0.127.0.0',plain,
% 24.56/24.94 ( ld(ld(X1,i(X2)),mult(X3,X3)) = ld(ld(mult(X1,X2),i(X3)),X3) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.57.2.0','0.126.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.127.0.1',plain,
% 24.56/24.94 ( mult(mult(X2,X1),mult(X3,X3)) = ld(ld(mult(X1,X2),i(X3)),X3) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.127.0.0','0.38.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.127.0.2',plain,
% 24.56/24.94 ( mult(mult(X2,X1),mult(X3,X3)) = mult(mult(X3,mult(X1,X2)),X3) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.127.0.1','0.38.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.127.1.0',plain,
% 24.56/24.94 ( mult(mult(X2,X1),mult(X3,X3)) = mult(mult(X3,mult(X1,X2)),X3) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.127.0.2']),
% 24.56/24.94 [weight('<119,126,57,[0,0,0,1]>')]).
% 24.56/24.94 cnf('0.127.1.1',plain,
% 24.56/24.94 ( mult(mult(X2,X1),mult(X3,X3)) = mult(X3,mult(mult(X1,X2),X3)) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.127.1.0','0.89.2.0',theory(equality)]),
% 24.56/24.94 [pos('R','L')]).
% 24.56/24.94 cnf('0.127.2.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X3,X3)) = mult(X3,mult(mult(X2,X1),X3)) ),
% 24.56/24.94 inference(activate,[status(thm)],['0.127.1.1']),
% 24.56/24.94 [equation_20]).
% 24.56/24.94 cnf('0.146.0.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X1,X2),mult(X3,mult(X2,X1))) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.146.1.0',plain,
% 24.56/24.94 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X1,X2),mult(X3,mult(X2,X1))) ),
% 24.56/24.94 inference(weigh,[status(thm)],['0.146.0.0']),
% 24.56/24.94 [weight('<189,10,9,[1,0,0,1]>')]).
% 24.56/24.94 cnf('0.146.2.0',plain,
% 24.56/24.94 ( mult(mult(X1,X2),mult(X3,mult(X2,X1))) = mult(X1,mult(X2,mult(X2,mult(X1,X3)))) ),
% 24.56/24.94 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 24.56/24.94 [x,rule_126]).
% 24.56/24.94 cnf('0.150.0.0',plain,
% 24.56/24.94 ( mult(i(X1),mult(X2,mult(X2,mult(i(X1),X3)))) = mult(ld(X1,X2),mult(X3,mult(X2,i(X1)))) ),
% 24.56/24.94 inference(cp,[status(thm)],['0.10.2.0','0.22.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.1','L')]).
% 24.56/24.94 cnf('0.150.0.1',plain,
% 24.56/24.94 ( ld(X1,mult(X2,mult(X2,mult(i(X1),X3)))) = mult(ld(X1,X2),mult(X3,mult(X2,i(X1)))) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.150.0.0','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L','L')]).
% 24.56/24.94 cnf('0.150.0.2',plain,
% 24.56/24.94 ( ld(X1,mult(X2,mult(X2,ld(X1,X3)))) = mult(ld(X1,X2),mult(X3,mult(X2,i(X1)))) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.150.0.1','0.21.2.0',theory(equality)]),
% 24.56/24.94 [pos('L.2.2.2','L')]).
% 24.56/24.94 cnf('0.150.0.3',plain,
% 24.56/24.94 ( ld(X1,mult(X2,mult(X2,ld(X1,X3)))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 24.56/24.94 inference(reduction,[status(thm)],['0.150.0.2','0.22.2.0',theory(equality)]),
% 24.56/24.94 [pos('R.2.2','L')]).
% 24.56/24.95 cnf('0.150.1.0',plain,
% 24.56/24.95 ( ld(X1,mult(X2,mult(X2,ld(X1,X3)))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.150.0.3']),
% 24.56/24.95 [weight('<189,22,10,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.150.1.1',plain,
% 24.56/24.95 ( ld(X1,mult(X2,ld(ld(X3,X1),X2))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.150.1.0','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('0.150.1.2',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X2,ld(X3,X1)),X2)) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.150.1.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.150.1.3',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X3,X1),mult(X2,X2))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.150.1.2','0.57.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.150.1.4',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X3,X1),mult(X2,X2))) = ld(ld(X2,X1),mult(X3,ld(X1,X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.150.1.3','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.150.1.5',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X3,X1),mult(X2,X2))) = ld(ld(X2,X1),ld(ld(X2,X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.150.1.4','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.150.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(ld(X1,X2),X3)) = ld(X2,ld(ld(X3,X2),mult(X1,X1))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.150.1.5',theory(equality)]),
% 24.56/24.95 [x,rule_129]).
% 24.56/24.95 cnf('0.151.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(mult(X1,X2),X1),mult(X2,X2))) = ld(ld(X2,X1),mult(X2,X2)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.150.2.0','0.53.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.151.0.1',plain,
% 24.56/24.95 ( ld(X1,ld(i(X2),mult(X2,X2))) = ld(ld(X2,X1),mult(X2,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.151.0.0','0.32.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.151.0.2',plain,
% 24.56/24.95 ( ld(X1,mult(X2,mult(X2,X2))) = ld(ld(X2,X1),mult(X2,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.151.0.1','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.151.1.0',plain,
% 24.56/24.95 ( ld(X1,mult(X2,mult(X2,X2))) = ld(ld(X2,X1),mult(X2,X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.151.0.2']),
% 24.56/24.95 [weight('<119,150,53,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.151.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),mult(X1,X1)) = ld(X2,mult(X1,mult(X1,X1))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_130]).
% 24.56/24.95 cnf('0.153.0.0',plain,
% 24.56/24.95 ( ld(i(X1),mult(X2,mult(X2,X2))) = ld(ld(X1,i(X2)),mult(X2,X2)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.151.2.0','0.37.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.153.0.1',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X2,X2))) = ld(ld(X1,i(X2)),mult(X2,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.153.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.153.0.2',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X2,X2))) = mult(mult(X2,X1),mult(X2,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.153.0.1','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.153.1.0',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X2,X2))) = mult(mult(X2,X1),mult(X2,X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.153.0.2']),
% 24.56/24.95 [weight('<119,151,37,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.153.1.1',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X2,X2))) = mult(X2,mult(mult(X1,X2),X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.153.1.0','0.127.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.153.1.2',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X2,X2))) = mult(X2,mult(X2,mult(X2,X1))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.153.1.1','0.89.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.153.2.0',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X2,X2))) = mult(X2,mult(X2,mult(X2,X1))) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.153.1.2']),
% 24.56/24.95 [equation_22]).
% 24.56/24.95 cnf('0.155.0.0',plain,
% 24.56/24.95 ( mult(X1,mult(X1,mult(X1,X2))) = mult(mult(X1,mult(X1,X1)),X2) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.153.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.155.1.0',plain,
% 24.56/24.95 ( mult(X1,mult(X1,mult(X1,X2))) = mult(mult(X1,mult(X1,X1)),X2) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.155.0.0']),
% 24.56/24.95 [weight('<119,153,9,[1,0,0,0]>')]).
% 24.56/24.95 cnf('0.155.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X1,X1)),X2) = mult(X1,mult(X1,mult(X1,X2))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_132]).
% 24.56/24.95 cnf('0.217.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(ld(X1,X2),X3)) = ld(ld(ld(X2,X1),ld(X1,X2)),X3) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.56.2.0','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.217.1.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(ld(X1,X2),X3)) = ld(ld(ld(X2,X1),ld(X1,X2)),X3) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.217.0.0']),
% 24.56/24.95 [weight('<189,56,35,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.217.1.1',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X3,X2),mult(X1,X1))) = ld(ld(ld(X2,X1),ld(X1,X2)),X3) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.217.1.0','0.150.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.217.1.2',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X3,X2),mult(X1,X1))) = ld(ld(X1,ld(X1,mult(X2,X2))),X3) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.217.1.1','0.82.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.217.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,ld(X1,mult(X2,X2))),X3) = ld(X2,ld(ld(X3,X2),mult(X1,X1))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.217.1.2',theory(equality)]),
% 24.56/24.95 [x,rule_190]).
% 24.56/24.95 cnf('0.237.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X2,X1),mult(i(X3),i(X3)))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.150.2.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.237.0.1',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X2,X1),ld(X3,i(X3)))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.237.0.0','0.21.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('0.237.0.2',plain,
% 24.56/24.95 ( ld(X1,ld(mult(X3,X3),ld(X1,X2))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.237.0.1','0.93.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.237.0.3',plain,
% 24.56/24.95 ( ld(X1,ld(X3,ld(X3,ld(X1,X2)))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.237.0.2','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.237.0.4',plain,
% 24.56/24.95 ( ld(X1,ld(X3,ld(X3,ld(X1,X2)))) = ld(mult(X3,X1),ld(mult(X3,X1),X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.237.0.3','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.1','L')]).
% 24.56/24.95 cnf('0.237.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(X3,ld(X3,ld(X1,X2)))) = ld(mult(X3,X1),ld(mult(X3,X1),X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.237.0.4']),
% 24.56/24.95 [weight('<189,150,23,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.237.2.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(mult(X1,X2),X3)) = ld(X2,ld(X1,ld(X1,ld(X2,X3)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_204]).
% 24.56/24.95 cnf('0.312.0.0',plain,
% 24.56/24.95 ( X1 = ld(ld(X1,mult(X2,mult(X3,X4))),mult(X2,mult(X4,X3))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.41.2.0','0.89.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2','L')]).
% 24.56/24.95 cnf('0.312.1.0',plain,
% 24.56/24.95 ( X1 = ld(ld(X1,mult(X2,mult(X3,X4))),mult(X2,mult(X4,X3))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.312.0.0']),
% 24.56/24.95 [weight('<209,89,41,[0,0,0,3]>')]).
% 24.56/24.95 cnf('0.312.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,mult(X3,X4))),mult(X2,mult(X4,X3))) = X1 ),
% 24.56/24.95 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_260]).
% 24.56/24.95 cnf('0.313.0.0',plain,
% 24.56/24.95 ( X1 = ld(ld(X1,mult(mult(X2,X3),X4)),mult(mult(X3,X2),X4)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.41.2.0','0.89.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2','R')]).
% 24.56/24.95 cnf('0.313.1.0',plain,
% 24.56/24.95 ( X1 = ld(ld(X1,mult(mult(X2,X3),X4)),mult(mult(X3,X2),X4)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.313.0.0']),
% 24.56/24.95 [weight('<209,89,41,[0,1,0,3]>')]).
% 24.56/24.95 cnf('0.313.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(mult(X2,X3),X4)),mult(mult(X3,X2),X4)) = X1 ),
% 24.56/24.95 inference(orient,[status(thm)],['0.313.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_261]).
% 24.56/24.95 cnf('0.334.0.0',plain,
% 24.56/24.95 ( mult(mult(mult(mult(X1,X2),X3),X4),X5) = ld(ld(X4,ld(X3,ld(X2,i(X1)))),X5) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.92.2.0','0.30.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2.2','L')]).
% 24.56/24.95 cnf('0.334.1.0',plain,
% 24.56/24.95 ( mult(mult(mult(mult(X1,X2),X3),X4),X5) = ld(ld(X4,ld(X3,ld(X2,i(X1)))),X5) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.334.0.0']),
% 24.56/24.95 [weight('<219,92,30,[1,0,0,5]>')]).
% 24.56/24.95 cnf('0.334.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,ld(X2,ld(X3,i(X4)))),X5) = mult(mult(mult(mult(X4,X3),X2),X1),X5) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.334.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_282]).
% 24.56/24.95 cnf('0.335.0.0',plain,
% 24.56/24.95 ( ld(mult(mult(X1,X2),X3),ld(X4,X5)) = ld(ld(X5,X4),ld(X3,ld(X2,i(X1)))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.93.2.0','0.30.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('0.335.1.0',plain,
% 24.56/24.95 ( ld(mult(mult(X1,X2),X3),ld(X4,X5)) = ld(ld(X5,X4),ld(X3,ld(X2,i(X1)))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.335.0.0']),
% 24.56/24.95 [weight('<219,93,30,[1,0,0,6]>')]).
% 24.56/24.95 cnf('0.335.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(X3,ld(X4,i(X5)))) = ld(mult(mult(X5,X4),X3),ld(X2,X1)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.335.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_283]).
% 24.56/24.95 cnf('0.388.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,X1)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.36.2.0','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.388.1.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,X1)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.388.0.0']),
% 24.56/24.95 [weight('<224,36,35,[1,0,0,0]>')]).
% 24.56/24.95 cnf('0.388.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,X1)) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.388.1.0']),
% 24.56/24.95 [equation_56]).
% 24.56/24.95 cnf('0.401.0.0',plain,
% 24.56/24.95 ( mult(mult(mult(X1,X2),X3),X4) = ld(i(X4),mult(X3,mult(X2,X1))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.312.2.0','0.49.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.401.0.1',plain,
% 24.56/24.95 ( mult(mult(mult(X1,X2),X3),X4) = mult(X4,mult(X3,mult(X2,X1))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.401.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.401.1.0',plain,
% 24.56/24.95 ( mult(mult(mult(X1,X2),X3),X4) = mult(X4,mult(X3,mult(X2,X1))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.401.0.1']),
% 24.56/24.95 [weight('<224,312,49,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.401.2.0',plain,
% 24.56/24.95 ( mult(mult(mult(X1,X2),X3),X4) = mult(X4,mult(X3,mult(X2,X1))) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.401.1.0']),
% 24.56/24.95 [equation_69]).
% 24.56/24.95 cnf('0.402.0.0',plain,
% 24.56/24.95 ( mult(mult(X1,X2),mult(X3,X4)) = ld(unit,mult(mult(X4,X3),mult(X2,X1))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.312.2.0','0.119.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.402.0.1',plain,
% 24.56/24.95 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X4,X3),mult(X2,X1)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.402.0.0','0.11.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.402.1.0',plain,
% 24.56/24.95 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X4,X3),mult(X2,X1)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.402.0.1']),
% 24.56/24.95 [weight('<224,312,119,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.402.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X4,X3),mult(X2,X1)) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.402.1.0']),
% 24.56/24.95 [equation_70]).
% 24.56/24.95 cnf('0.403.0.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,X3)),X4) = ld(i(X4),mult(mult(X3,X2),X1)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.313.2.0','0.49.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.403.0.1',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,X3)),X4) = mult(X4,mult(mult(X3,X2),X1)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.403.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.403.1.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,X3)),X4) = mult(X4,mult(mult(X3,X2),X1)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.403.0.1']),
% 24.56/24.95 [weight('<224,313,49,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.403.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,X3)),X4) = mult(X4,mult(mult(X3,X2),X1)) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.403.1.0']),
% 24.56/24.95 [equation_71]).
% 24.56/24.95 cnf('0.407.0.0',plain,
% 24.56/24.95 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X3,mult(ld(ld(X2,X1),X3),ld(X1,X2))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.53.2.0','0.40.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.407.0.1',plain,
% 24.56/24.95 ( ld(ld(X2,X1),ld(X1,X2)) = ld(X3,mult(ld(ld(X2,X1),X3),ld(X1,X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.407.0.0','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.407.0.2',plain,
% 24.56/24.95 ( ld(ld(X2,X1),ld(X1,X2)) = ld(X3,ld(ld(X3,ld(X2,X1)),ld(X1,X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.407.0.1','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.407.1.0',plain,
% 24.56/24.95 ( ld(ld(X2,X1),ld(X1,X2)) = ld(X3,ld(ld(X3,ld(X2,X1)),ld(X1,X2))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.407.0.2']),
% 24.56/24.95 [weight('<227,53,40,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.407.1.1',plain,
% 24.56/24.95 ( ld(X1,ld(X1,mult(X2,X2))) = ld(X3,ld(ld(X3,ld(X2,X1)),ld(X1,X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.407.1.0','0.82.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.407.1.2',plain,
% 24.56/24.95 ( ld(X1,ld(X1,mult(X2,X2))) = ld(X3,ld(ld(X2,X1),ld(ld(X2,X1),X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.407.1.1','0.388.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.407.1.3',plain,
% 24.56/24.95 ( ld(X1,ld(X1,mult(X2,X2))) = ld(X3,ld(X1,ld(ld(X3,X1),mult(X2,X2)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.407.1.2','0.150.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.407.2.0',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(ld(X1,X2),mult(X3,X3)))) = ld(X2,ld(X2,mult(X3,X3))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.407.1.3',theory(equality)]),
% 24.56/24.95 [x,rule_335]).
% 24.56/24.95 cnf('0.408.0.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(mult(X1,X2),mult(X3,X3))) = ld(X2,ld(mult(X1,X2),ld(X1,mult(X3,X3)))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.407.2.0','0.26.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.1','L')]).
% 24.56/24.95 cnf('0.408.0.1',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X2,mult(X3,X3))))) = ld(X2,ld(mult(X1,X2),ld(X1,mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.408.0.0','0.237.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.408.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(X2,mult(X3,X3)))) = ld(mult(X1,X2),ld(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.408.0.1']),
% 24.56/24.95 [weight('<189,407,26,[1,0,0,5]>')]).
% 24.56/24.95 cnf('0.408.2.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(X1,mult(X3,X3))) = ld(X1,ld(X1,ld(X2,mult(X3,X3)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.408.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_336]).
% 24.56/24.95 cnf('0.411.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(i(X2),mult(X3,X3)))) = ld(ld(X2,X1),ld(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.408.2.0','0.22.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.411.0.1',plain,
% 24.56/24.95 ( ld(X1,ld(X1,mult(X2,mult(X3,X3)))) = ld(ld(X2,X1),ld(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.411.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('0.411.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(X1,mult(X2,mult(X3,X3)))) = ld(ld(X2,X1),ld(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.411.0.1']),
% 24.56/24.95 [weight('<189,408,22,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.411.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(X2,mult(X3,X3))) = ld(X2,ld(X2,mult(X1,mult(X3,X3)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.411.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_338]).
% 24.56/24.95 cnf('0.412.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,X2)),ld(ld(X1,mult(X2,X2)),ld(X3,mult(X2,X2)))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.408.2.0','0.27.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.412.0.1',plain,
% 24.56/24.95 ( ld(mult(X2,X2),ld(ld(ld(X3,mult(X2,X2)),mult(X2,X2)),mult(X1,X1))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.412.0.0','0.150.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.412.0.2',plain,
% 24.56/24.95 ( ld(X2,ld(X2,ld(ld(ld(X3,mult(X2,X2)),mult(X2,X2)),mult(X1,X1)))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.412.0.1','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.412.0.3',plain,
% 24.56/24.95 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.412.0.2','0.41.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.1','L')]).
% 24.56/24.95 cnf('0.412.0.4',plain,
% 24.56/24.95 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(ld(ld(mult(X2,X2),X1),X3),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.412.0.3','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.412.0.5',plain,
% 24.56/24.95 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(ld(ld(X2,ld(X2,X1)),X3),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.412.0.4','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1.1','L')]).
% 24.56/24.95 cnf('0.412.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(ld(ld(X2,ld(X2,X1)),X3),X1) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.412.0.5']),
% 24.56/24.95 [weight('<189,408,27,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.412.2.0',plain,
% 24.56/24.95 ( ld(ld(ld(X1,ld(X1,X2)),X3),X2) = ld(X1,ld(X1,ld(X3,mult(X2,X2)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.412.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_339]).
% 24.56/24.95 cnf('0.413.0.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(mult(X1,X2),ld(X3,mult(X2,X2)))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.408.2.0','0.63.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.413.0.1',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X2,ld(X3,mult(X2,X2)))))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.413.0.0','0.237.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.413.0.2',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.413.0.1','0.67.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.2','L')]).
% 24.56/24.95 cnf('0.413.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.413.0.2']),
% 24.56/24.95 [weight('<189,408,63,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.413.2.0',plain,
% 24.56/24.95 ( ld(mult(mult(X1,X2),X3),ld(X1,X2)) = ld(X2,ld(X1,ld(X1,ld(X3,X2)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.413.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_340]).
% 24.56/24.95 cnf('0.414.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(ld(X1,X2),ld(X3,mult(X2,X2)))) = ld(mult(ld(X1,X2),X3),mult(X1,X2)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.408.2.0','0.64.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.414.0.1',plain,
% 24.56/24.95 ( ld(X2,ld(ld(ld(X3,mult(X2,X2)),X2),mult(X1,X1))) = ld(mult(ld(X1,X2),X3),mult(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.414.0.0','0.150.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.414.0.2',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(mult(ld(X1,X2),X3),mult(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.414.0.1','0.66.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.414.0.3',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,X1),X3),mult(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.414.0.2','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.414.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,X1),X3),mult(X1,X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.414.0.3']),
% 24.56/24.95 [weight('<189,408,64,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.414.2.0',plain,
% 24.56/24.95 ( ld(ld(ld(X1,X2),X3),mult(X2,X1)) = ld(X1,ld(ld(X1,X3),mult(X2,X2))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.414.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_341]).
% 24.56/24.95 cnf('0.416.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(X1,mult(X2,mult(i(X3),i(X3))))) = ld(ld(X2,X1),ld(X1,ld(X3,i(X3)))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.411.2.0','0.21.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('0.416.0.1',plain,
% 24.56/24.95 ( ld(X1,ld(X1,mult(X2,ld(X3,i(X3))))) = ld(ld(X2,X1),ld(X1,ld(X3,i(X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.416.0.0','0.21.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.2','L')]).
% 24.56/24.95 cnf('0.416.0.2',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(ld(i(X3),X3),X2))) = ld(ld(X2,X1),ld(X1,ld(X3,i(X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.416.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('0.416.0.3',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(mult(X3,X3),X2))) = ld(ld(X2,X1),ld(X1,ld(X3,i(X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.416.0.2','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.1','L')]).
% 24.56/24.95 cnf('0.416.0.4',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(X3,ld(X3,X2)))) = ld(ld(X2,X1),ld(X1,ld(X3,i(X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.416.0.3','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('0.416.0.5',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(X3,ld(X3,X2)))) = ld(mult(mult(X3,X3),X1),ld(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.416.0.4','0.335.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.416.0.6',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(X3,ld(X3,X2)))) = ld(mult(X3,mult(X3,X1)),ld(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.416.0.5','0.60.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.416.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(X3,ld(X3,X2)))) = ld(mult(X3,mult(X3,X1)),ld(X1,X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.416.0.6']),
% 24.56/24.95 [weight('<189,411,21,[1,0,0,6]>')]).
% 24.56/24.95 cnf('0.416.2.0',plain,
% 24.56/24.95 ( ld(mult(X1,mult(X1,X2)),ld(X2,X3)) = ld(X2,ld(X2,ld(X1,ld(X1,X3)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.416.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_343]).
% 24.56/24.95 cnf('0.417.0.0',plain,
% 24.56/24.95 ( ld(i(X1),ld(i(X1),mult(X2,mult(X3,X3)))) = ld(ld(X2,i(X1)),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.411.2.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.417.0.1',plain,
% 24.56/24.95 ( mult(X1,ld(i(X1),mult(X2,mult(X3,X3)))) = ld(ld(X2,i(X1)),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.417.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.417.0.2',plain,
% 24.56/24.95 ( ld(ld(mult(X2,mult(X3,X3)),i(X1)),X1) = ld(ld(X2,i(X1)),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.417.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.417.0.3',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,mult(X3,X3))),X1) = ld(ld(X2,i(X1)),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.417.0.2','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.417.0.4',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,mult(X3,X3))),X1) = mult(mult(X1,X2),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.417.0.3','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.417.1.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,mult(X3,X3))),X1) = mult(mult(X1,X2),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.417.0.4']),
% 24.56/24.95 [weight('<189,411,23,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.417.1.1',plain,
% 24.56/24.95 ( mult(X1,mult(mult(mult(X3,X3),X2),X1)) = mult(mult(X1,X2),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.417.1.0','0.403.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.417.1.2',plain,
% 24.56/24.95 ( mult(X1,mult(mult(X3,mult(X3,X2)),X1)) = mult(mult(X1,X2),mult(X1,mult(X3,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.417.1.1','0.60.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.417.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,X2),mult(X1,mult(X3,X3))) = mult(X1,mult(mult(X3,mult(X3,X2)),X1)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.417.1.2',theory(equality)]),
% 24.56/24.95 [x,rule_344]).
% 24.56/24.95 cnf('0.421.0.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(mult(X1,X2),mult(X3,mult(X2,X2)))) = ld(ld(X3,mult(X1,X2)),ld(X1,X2)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.411.2.0','0.63.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.421.0.1',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X2,mult(X3,mult(X2,X2)))))) = ld(ld(X3,mult(X1,X2)),ld(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.421.0.0','0.237.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.421.0.2',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,mult(X2,X3)))) = ld(ld(X3,mult(X1,X2)),ld(X1,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.421.0.1','0.68.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.2','L')]).
% 24.56/24.95 cnf('0.421.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,mult(X2,X3)))) = ld(ld(X3,mult(X1,X2)),ld(X1,X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.421.0.2']),
% 24.56/24.95 [weight('<189,411,63,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.421.1.1',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,mult(X2,X3)))) = ld(ld(X2,X1),ld(mult(X1,X2),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.421.1.0','0.388.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.421.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(mult(X2,X1),X3)) = ld(X1,ld(X2,ld(X2,mult(X1,X3)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.421.1.1',theory(equality)]),
% 24.56/24.95 [x,rule_348]).
% 24.56/24.95 cnf('0.424.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(ld(X1,X2),ld(X3,mult(X2,X2)))) = ld(ld(ld(ld(X1,X2),X1),X3),X2) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.412.2.0','0.27.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.1.2','L')]).
% 24.56/24.95 cnf('0.424.0.1',plain,
% 24.56/24.95 ( ld(X2,ld(ld(ld(X3,mult(X2,X2)),X2),mult(X1,X1))) = ld(ld(ld(ld(X1,X2),X1),X3),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.424.0.0','0.150.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.424.0.2',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(ld(X1,X2),X1),X3),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.424.0.1','0.66.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.424.0.3',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,mult(X1,X1)),X3),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.424.0.2','0.57.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1.1','L')]).
% 24.56/24.95 cnf('0.424.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,mult(X1,X1)),X3),X2) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.424.0.3']),
% 24.56/24.95 [weight('<189,412,27,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.424.2.0',plain,
% 24.56/24.95 ( ld(ld(ld(X1,mult(X2,X2)),X3),X1) = ld(X1,ld(ld(X1,X3),mult(X2,X2))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.424.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_351]).
% 24.56/24.95 cnf('0.425.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X2,ld(X2,X1)),X3)) = i(ld(X2,ld(X2,ld(X3,mult(X1,X1))))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.29.2.0','0.412.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.425.0.1',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X2,ld(X2,X1)),X3)) = ld(ld(X2,ld(X3,mult(X1,X1))),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.425.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.425.0.2',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X2,ld(X2,X1)),X3)) = ld(ld(X3,mult(X1,X1)),mult(X2,X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.425.0.1','0.57.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.425.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X2,ld(X2,X1)),X3)) = ld(ld(X3,mult(X1,X1)),mult(X2,X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.425.0.2']),
% 24.56/24.95 [weight('<189,412,29,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.425.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,X2)),mult(X3,X3)) = ld(X2,ld(ld(X3,ld(X3,X2)),X1)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.425.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_352]).
% 24.56/24.95 cnf('0.426.0.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(mult(X1,X2),ld(X3,mult(X2,X2)))) = ld(ld(ld(mult(X1,X2),i(X1)),X3),X2) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.412.2.0','0.31.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.1.2','L')]).
% 24.56/24.95 cnf('0.426.0.1',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X2,ld(X3,mult(X2,X2)))))) = ld(ld(ld(mult(X1,X2),i(X1)),X3),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.426.0.0','0.237.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.426.0.2',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(ld(ld(mult(X1,X2),i(X1)),X3),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.426.0.1','0.67.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.2','L')]).
% 24.56/24.95 cnf('0.426.0.3',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,mult(X1,X2)),X3),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.426.0.2','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.426.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,mult(X1,X2)),X3),X2) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.426.0.3']),
% 24.56/24.95 [weight('<189,412,31,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.426.2.0',plain,
% 24.56/24.95 ( ld(mult(mult(X1,mult(X1,X2)),X3),X2) = ld(X2,ld(X1,ld(X1,ld(X3,X2)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.426.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_353]).
% 24.56/24.95 cnf('0.429.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),mult(mult(X1,X2),X3)) = i(ld(X2,ld(X1,ld(X1,ld(X3,X2))))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.29.2.0','0.413.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.429.0.1',plain,
% 24.56/24.95 ( ld(ld(X1,X2),mult(mult(X1,X2),X3)) = ld(ld(X1,ld(X1,ld(X3,X2))),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.429.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.429.1.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),mult(mult(X1,X2),X3)) = ld(ld(X1,ld(X1,ld(X3,X2))),X2) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.429.0.1']),
% 24.56/24.95 [weight('<189,413,29,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.429.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,ld(X1,ld(X2,X3))),X3) = ld(ld(X1,X3),mult(mult(X1,X3),X2)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.429.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_356]).
% 24.56/24.95 cnf('0.432.0.0',plain,
% 24.56/24.95 ( ld(i(X1),ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.414.2.0','0.22.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.432.0.1',plain,
% 24.56/24.95 ( mult(X1,ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.432.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.432.0.2',plain,
% 24.56/24.95 ( ld(ld(mult(X3,X3),ld(i(X1),X2)),X1) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.432.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.432.0.3',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,ld(i(X1),X2))),X1) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.432.0.2','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.432.0.4',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.432.0.3','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2.2','L')]).
% 24.56/24.95 cnf('0.432.0.5',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(mult(X1,X3),X2),ld(X1,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.432.0.4','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1.1','L')]).
% 24.56/24.95 cnf('0.432.1.0',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(mult(X1,X3),X2),ld(X1,X3)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.432.0.5']),
% 24.56/24.95 [weight('<189,414,22,[1,0,0,6]>')]).
% 24.56/24.95 cnf('0.432.1.1',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(X3,X1),ld(X2,mult(X1,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.432.1.0','0.388.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.432.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,ld(X1,mult(X2,X3))),X2) = ld(ld(X1,X2),ld(X3,mult(X2,X1))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.432.1.1',theory(equality)]),
% 24.56/24.95 [u,rule_359]).
% 24.56/24.95 cnf('0.433.0.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(ld(X2,X1),X3)) = i(ld(X2,ld(ld(X2,X3),mult(X1,X1)))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.29.2.0','0.414.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.433.0.1',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(ld(X2,X1),X3)) = ld(ld(ld(X2,X3),mult(X1,X1)),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.433.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.433.1.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(ld(X2,X1),X3)) = ld(ld(ld(X2,X3),mult(X1,X1)),X2) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.433.0.1']),
% 24.56/24.95 [weight('<189,414,29,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.433.2.0',plain,
% 24.56/24.95 ( ld(ld(ld(X1,X2),mult(X3,X3)),X1) = ld(mult(X3,X1),ld(ld(X1,X3),X2)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.433.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_360]).
% 24.56/24.95 cnf('0.434.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(X2,ld(X2,X3)))) = ld(mult(X2,mult(X1,X2)),ld(X1,X3)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.416.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2','L')]).
% 24.56/24.95 cnf('0.434.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(X1,ld(X2,ld(X2,X3)))) = ld(mult(X2,mult(X1,X2)),ld(X1,X3)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.434.0.0']),
% 24.56/24.95 [weight('<189,416,9,[1,0,0,3]>')]).
% 24.56/24.95 cnf('0.434.2.0',plain,
% 24.56/24.95 ( ld(mult(X1,mult(X2,X1)),ld(X2,X3)) = ld(X2,ld(X2,ld(X1,ld(X1,X3)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.434.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_361]).
% 24.56/24.95 cnf('0.437.0.0',plain,
% 24.56/24.95 ( mult(X1,mult(mult(X2,mult(X2,X3)),X1)) = mult(mult(X1,X3),mult(mult(X2,X2),X1)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.417.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.437.0.1',plain,
% 24.56/24.95 ( mult(X1,mult(mult(X2,mult(X2,X3)),X1)) = mult(mult(X1,X3),mult(X2,mult(X2,X1))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.437.0.0','0.60.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.437.1.0',plain,
% 24.56/24.95 ( mult(X1,mult(mult(X2,mult(X2,X3)),X1)) = mult(mult(X1,X3),mult(X2,mult(X2,X1))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.437.0.1']),
% 24.56/24.95 [weight('<189,417,9,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.437.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,X2),mult(X3,mult(X3,X1))) = mult(X1,mult(mult(X3,mult(X3,X2)),X1)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.437.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_364]).
% 24.56/24.95 cnf('0.439.0.0',plain,
% 24.56/24.95 ( mult(X1,mult(mult(X2,mult(X2,X3)),X1)) = mult(mult(mult(X2,X2),X1),mult(X1,X3)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.417.2.0','0.89.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','R')]).
% 24.56/24.95 cnf('0.439.0.1',plain,
% 24.56/24.95 ( mult(X1,mult(mult(X2,mult(X2,X3)),X1)) = mult(mult(X2,mult(X2,X1)),mult(X1,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.439.0.0','0.60.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.439.1.0',plain,
% 24.56/24.95 ( mult(X1,mult(mult(X2,mult(X2,X3)),X1)) = mult(mult(X2,mult(X2,X1)),mult(X1,X3)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.439.0.1']),
% 24.56/24.95 [weight('<189,417,89,[1,0,1,0]>')]).
% 24.56/24.95 cnf('0.439.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X1,X2)),mult(X2,X3)) = mult(X2,mult(mult(X1,mult(X1,X3)),X2)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.439.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_366]).
% 24.56/24.95 cnf('0.446.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,X3)))) = ld(ld(X1,X2),ld(mult(X1,X2),X3)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.421.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.446.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,X3)))) = ld(ld(X1,X2),ld(mult(X1,X2),X3)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.446.0.0']),
% 24.56/24.95 [weight('<189,421,9,[1,0,0,5]>')]).
% 24.56/24.95 cnf('0.446.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(mult(X1,X2),X3)) = ld(X1,ld(X2,ld(X2,mult(X1,X3)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.446.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_373]).
% 24.56/24.95 cnf('0.449.0.0',plain,
% 24.56/24.95 ( ld(i(X1),ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.424.2.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.1','L')]).
% 24.56/24.95 cnf('0.449.0.1',plain,
% 24.56/24.95 ( mult(X1,ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.449.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.449.0.2',plain,
% 24.56/24.95 ( ld(ld(mult(X3,X3),ld(i(X1),X2)),X1) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.449.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.449.0.3',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,ld(i(X1),X2))),X1) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.449.0.2','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.449.0.4',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.449.0.3','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2.2','L')]).
% 24.56/24.95 cnf('0.449.0.5',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(X1,ld(X2,mult(X1,mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.449.0.4','0.39.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.449.1.0',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(X1,ld(X2,mult(X1,mult(X3,X3)))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.449.0.5']),
% 24.56/24.95 [weight('<189,424,23,[1,0,0,2]>')]).
% 24.56/24.95 cnf('0.449.1.1',plain,
% 24.56/24.95 ( ld(ld(X3,X1),ld(X2,mult(X1,X3))) = ld(X1,ld(X2,mult(X1,mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.449.1.0','0.432.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.449.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),ld(X3,mult(X2,X1))) = ld(X2,ld(X3,mult(X2,mult(X1,X1)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.449.1.1',theory(equality)]),
% 24.56/24.95 [u,rule_376]).
% 24.56/24.95 cnf('0.450.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X1,mult(X2,X2)),X3)) = i(ld(X1,ld(ld(X1,X3),mult(X2,X2)))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.29.2.0','0.424.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.450.0.1',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X1,mult(X2,X2)),X3)) = ld(ld(ld(X1,X3),mult(X2,X2)),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.450.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.450.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X1,mult(X2,X2)),X3)) = ld(ld(ld(X1,X3),mult(X2,X2)),X1) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.450.0.1']),
% 24.56/24.95 [weight('<189,424,29,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.450.1.1',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X1,mult(X2,X2)),X3)) = ld(mult(X2,X1),ld(ld(X1,X2),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.450.1.0','0.433.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.450.2.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(ld(X2,X1),X3)) = ld(X2,ld(ld(X2,mult(X1,X1)),X3)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.450.1.1',theory(equality)]),
% 24.56/24.95 [x,rule_377]).
% 24.56/24.95 cnf('0.453.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X1,i(X2)),mult(X3,X3))) = ld(ld(X2,i(ld(X1,mult(X3,X3)))),X1) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.424.2.0','0.37.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.453.0.1',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,X1),mult(X3,X3))) = ld(ld(X2,i(ld(X1,mult(X3,X3)))),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.453.0.0','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.453.0.2',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,X1),mult(X3,X3))) = mult(mult(ld(X1,mult(X3,X3)),X2),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.453.0.1','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.453.0.3',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,X1),mult(X3,X3))) = mult(ld(ld(mult(X3,X3),X1),X2),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.453.0.2','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.453.0.4',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,X1),mult(X3,X3))) = ld(ld(X2,ld(mult(X3,X3),X1)),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.453.0.3','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.453.0.5',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,X1),mult(X3,X3))) = ld(ld(X2,ld(X3,ld(X3,X1))),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.453.0.4','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1.2','L')]).
% 24.56/24.95 cnf('0.453.1.0',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,X1),mult(X3,X3))) = ld(ld(X2,ld(X3,ld(X3,X1))),X1) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.453.0.5']),
% 24.56/24.95 [weight('<189,424,37,[1,0,0,1]>')]).
% 24.56/24.95 cnf('0.453.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,ld(X2,ld(X2,X3))),X3) = ld(X3,mult(mult(X1,X3),mult(X2,X2))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.453.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_380]).
% 24.56/24.95 cnf('0.459.0.0',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),X3)) = i(ld(X1,ld(X2,ld(X2,ld(X3,X1))))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.29.2.0','0.426.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.459.0.1',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),X3)) = ld(ld(X2,ld(X2,ld(X3,X1))),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.459.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.459.1.0',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),X3)) = ld(ld(X2,ld(X2,ld(X3,X1))),X1) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.459.0.1']),
% 24.56/24.95 [weight('<189,426,29,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.459.1.1',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),X3)) = ld(ld(X2,X1),mult(mult(X2,X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.459.1.0','0.429.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.459.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),mult(mult(X1,X2),X3)) = ld(X2,mult(mult(X1,mult(X1,X2)),X3)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.459.1.1',theory(equality)]),
% 24.56/24.95 [x,rule_386]).
% 24.56/24.95 cnf('0.460.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(mult(X2,mult(X2,X1)),X3)),X4) = mult(ld(X1,ld(X2,ld(X2,ld(X3,X1)))),X4) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.35.2.0','0.426.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.460.0.1',plain,
% 24.56/24.95 ( ld(ld(X1,mult(mult(X2,mult(X2,X1)),X3)),X4) = ld(ld(ld(X2,ld(X2,ld(X3,X1))),X1),X4) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.460.0.0','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.460.1.0',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),X3)) = ld(ld(X2,ld(X2,ld(X3,X1))),X1) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.460.0.1']),
% 24.56/24.95 [weight('<189,426,35,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.460.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,ld(X1,ld(X2,X3))),X3) = ld(X3,mult(mult(X1,mult(X1,X3)),X2)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.460.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_387]).
% 24.56/24.95 cnf('0.468.0.0',plain,
% 24.56/24.95 ( ld(i(X1),ld(i(X1),ld(X2,ld(X2,X3)))) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.434.2.0','0.21.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2','L')]).
% 24.56/24.95 cnf('0.468.0.1',plain,
% 24.56/24.95 ( mult(X1,ld(i(X1),ld(X2,ld(X2,X3)))) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.468.0.2',plain,
% 24.56/24.95 ( ld(ld(ld(X2,ld(X2,X3)),i(X1)),X1) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.468.0.3',plain,
% 24.56/24.95 ( mult(mult(X1,ld(X2,ld(X2,X3))),X1) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.2','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.468.0.4',plain,
% 24.56/24.95 ( mult(ld(ld(ld(X2,X3),X2),X1),X1) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.3','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.468.0.5',plain,
% 24.56/24.95 ( ld(ld(X1,ld(ld(X2,X3),X2)),X1) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.4','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.468.0.6',plain,
% 24.56/24.95 ( ld(ld(ld(X2,X3),X2),mult(X1,X1)) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.5','0.57.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.468.0.7',plain,
% 24.56/24.95 ( ld(ld(X3,mult(X2,X2)),mult(X1,X1)) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.6','0.57.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.468.0.8',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X1,ld(X1,X2)),X3)) = ld(mult(X2,ld(X1,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.7','0.425.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.468.0.9',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X1,ld(X1,X2)),X3)) = ld(ld(ld(X2,X1),X2),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.8','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.468.0.10',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X1,ld(X1,X2)),X3)) = ld(ld(X1,mult(X2,X2)),ld(i(X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.9','0.57.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.468.0.11',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X1,ld(X1,X2)),X3)) = ld(ld(X1,mult(X2,X2)),mult(X1,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.468.0.10','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.468.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X1,ld(X1,X2)),X3)) = ld(ld(X1,mult(X2,X2)),mult(X1,X3)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.468.0.11']),
% 24.56/24.95 [weight('<189,434,21,[1,0,0,3]>')]).
% 24.56/24.95 cnf('0.468.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,X2)),mult(X1,X3)) = ld(X2,ld(ld(X1,ld(X1,X2)),X3)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.468.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_395]).
% 24.56/24.95 cnf('0.474.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(i(X2),mult(X1,mult(X3,X3)))) = ld(ld(X3,X1),mult(X2,mult(X1,X3))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.449.2.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.474.0.1',plain,
% 24.56/24.95 ( ld(X1,mult(X2,mult(X1,mult(X3,X3)))) = ld(ld(X3,X1),mult(X2,mult(X1,X3))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.474.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.474.1.0',plain,
% 24.56/24.95 ( ld(X1,mult(X2,mult(X1,mult(X3,X3)))) = ld(ld(X3,X1),mult(X2,mult(X1,X3))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.474.0.1']),
% 24.56/24.95 [weight('<189,449,23,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.474.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,X2),mult(X3,mult(X2,X1))) = ld(X2,mult(X3,mult(X2,mult(X1,X1)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_401]).
% 24.56/24.95 cnf('0.475.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,X3)),ld(X3,X2)) = i(ld(X2,ld(X1,mult(X2,mult(X3,X3))))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.29.2.0','0.449.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.475.0.1',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,X3)),ld(X3,X2)) = ld(ld(X1,mult(X2,mult(X3,X3))),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.475.0.0','0.29.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.475.1.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,X3)),ld(X3,X2)) = ld(ld(X1,mult(X2,mult(X3,X3))),X2) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.475.0.1']),
% 24.56/24.95 [weight('<189,449,29,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.475.1.1',plain,
% 24.56/24.95 ( ld(ld(X2,X3),ld(mult(X2,X3),X1)) = ld(ld(X1,mult(X2,mult(X3,X3))),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.475.1.0','0.388.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.475.1.2',plain,
% 24.56/24.95 ( ld(X2,ld(X3,ld(X3,mult(X2,X1)))) = ld(ld(X1,mult(X2,mult(X3,X3))),X2) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.475.1.1','0.446.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.475.2.0',plain,
% 24.56/24.95 ( ld(ld(X1,mult(X2,mult(X3,X3))),X2) = ld(X2,ld(X3,ld(X3,mult(X2,X1)))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.475.1.2',theory(equality)]),
% 24.56/24.95 [x,rule_402]).
% 24.56/24.95 cnf('0.482.0.0',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(ld(mult(X1,X2),mult(X1,X1)),X3)) = ld(mult(X2,mult(X1,X1)),ld(ld(mult(X1,X2),X1),X3)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.450.2.0','0.58.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','R')]).
% 24.56/24.95 cnf('0.482.0.1',plain,
% 24.56/24.95 ( ld(mult(X1,X2),ld(ld(X2,X1),X3)) = ld(mult(X2,mult(X1,X1)),ld(ld(mult(X1,X2),X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.482.0.0','0.65.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.482.0.2',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,mult(X1,X1)),X3)) = ld(mult(X2,mult(X1,X1)),ld(ld(mult(X1,X2),X1),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.482.0.1','0.450.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.482.0.3',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,mult(X1,X1)),X3)) = ld(mult(X2,mult(X1,X1)),ld(i(X2),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.482.0.2','0.32.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.1','L')]).
% 24.56/24.95 cnf('0.482.0.4',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,mult(X1,X1)),X3)) = ld(mult(X2,mult(X1,X1)),mult(X2,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.482.0.3','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.482.1.0',plain,
% 24.56/24.95 ( ld(X2,ld(ld(X2,mult(X1,X1)),X3)) = ld(mult(X2,mult(X1,X1)),mult(X2,X3)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.482.0.4']),
% 24.56/24.95 [weight('<189,450,58,[1,0,1,1]>')]).
% 24.56/24.95 cnf('0.482.2.0',plain,
% 24.56/24.95 ( ld(mult(X1,mult(X2,X2)),mult(X1,X3)) = ld(X1,ld(ld(X1,mult(X2,X2)),X3)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.482.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_408]).
% 24.56/24.95 cnf('0.497.0.0',plain,
% 24.56/24.95 ( ld(ld(X1,i(X2)),mult(mult(X3,mult(X3,ld(X1,i(X2)))),X4)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.460.2.0','0.126.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2.2','L')]).
% 24.56/24.95 cnf('0.497.0.1',plain,
% 24.56/24.95 ( mult(mult(X2,X1),mult(mult(X3,mult(X3,ld(X1,i(X2)))),X4)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.0','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.497.0.2',plain,
% 24.56/24.95 ( mult(mult(X2,X1),mult(mult(X3,ld(ld(i(X2),X1),X3)),X4)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1.2','L')]).
% 24.56/24.95 cnf('0.497.0.3',plain,
% 24.56/24.95 ( mult(mult(X2,X1),mult(ld(ld(X3,ld(i(X2),X1)),X3),X4)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.2','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.497.0.4',plain,
% 24.56/24.95 ( mult(mult(X2,X1),mult(ld(ld(i(X2),X1),mult(X3,X3)),X4)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.3','0.57.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.1','L')]).
% 24.56/24.95 cnf('0.497.0.5',plain,
% 24.56/24.95 ( mult(mult(X2,X1),ld(ld(mult(X3,X3),ld(i(X2),X1)),X4)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.4','0.35.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.497.0.6',plain,
% 24.56/24.95 ( ld(ld(X4,ld(mult(X3,X3),ld(i(X2),X1))),mult(X2,X1)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.5','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.497.0.7',plain,
% 24.56/24.95 ( ld(ld(X4,ld(X3,ld(X3,ld(i(X2),X1)))),mult(X2,X1)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.6','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2','L')]).
% 24.56/24.95 cnf('0.497.0.8',plain,
% 24.56/24.95 ( ld(ld(X4,ld(X3,ld(X3,mult(X2,X1)))),mult(X2,X1)) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.7','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2.2.2','L')]).
% 24.56/24.95 cnf('0.497.0.9',plain,
% 24.56/24.95 ( ld(mult(X2,X1),mult(mult(X4,mult(X2,X1)),mult(X3,X3))) = ld(ld(X3,ld(X3,ld(mult(X1,X2),i(X4)))),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.8','0.453.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.497.0.10',plain,
% 24.56/24.95 ( ld(mult(X2,X1),mult(mult(X4,mult(X2,X1)),mult(X3,X3))) = mult(mult(mult(mult(X4,mult(X1,X2)),X3),X3),ld(X1,i(X2))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.9','0.334.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.497.0.11',plain,
% 24.56/24.95 ( ld(mult(X2,X1),mult(mult(X4,mult(X2,X1)),mult(X3,X3))) = ld(ld(i(X2),X1),mult(mult(mult(X4,mult(X1,X2)),X3),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.10','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.497.0.12',plain,
% 24.56/24.95 ( ld(mult(X2,X1),mult(mult(X4,mult(X2,X1)),mult(X3,X3))) = ld(mult(X2,X1),mult(mult(mult(X4,mult(X1,X2)),X3),X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.0.11','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.497.1.0',plain,
% 24.56/24.95 ( mult(mult(X4,mult(X2,X1)),mult(X3,X3)) = mult(mult(mult(X4,mult(X1,X2)),X3),X3) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.497.0.12']),
% 24.56/24.95 [weight('<189,460,126,[1,0,0,5]>')]).
% 24.56/24.95 cnf('0.497.1.1',plain,
% 24.56/24.95 ( mult(mult(X4,mult(X2,X1)),mult(X3,X3)) = mult(X3,mult(X3,mult(mult(X1,X2),X4))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.497.1.0','0.401.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.497.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,X3)),mult(X4,X4)) = mult(X4,mult(X4,mult(mult(X3,X2),X1))) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.497.1.1']),
% 24.56/24.95 [equation_80]).
% 24.56/24.95 cnf('0.503.0.0',plain,
% 24.56/24.95 ( ld(i(X1),ld(ld(X2,ld(X2,i(X1))),X3)) = ld(ld(X2,ld(X1,i(X1))),mult(X2,X3)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.468.2.0','0.21.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2','L')]).
% 24.56/24.95 cnf('0.503.0.1',plain,
% 24.56/24.95 ( mult(X1,ld(ld(X2,ld(X2,i(X1))),X3)) = ld(ld(X2,ld(X1,i(X1))),mult(X2,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.503.0.0','0.23.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.503.0.2',plain,
% 24.56/24.95 ( ld(ld(X3,ld(X2,ld(X2,i(X1)))),X1) = ld(ld(X2,ld(X1,i(X1))),mult(X2,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.503.0.1','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.503.0.3',plain,
% 24.56/24.95 ( mult(mult(mult(mult(X1,X2),X2),X3),X1) = ld(ld(X2,ld(X1,i(X1))),mult(X2,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.503.0.2','0.334.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.503.0.4',plain,
% 24.56/24.95 ( mult(mult(mult(mult(X1,X2),X2),X3),X1) = mult(mult(mult(X1,X1),X2),mult(X2,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.503.0.3','0.92.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.503.0.5',plain,
% 24.56/24.95 ( mult(mult(mult(mult(X1,X2),X2),X3),X1) = mult(mult(X1,mult(X1,X2)),mult(X2,X3)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.503.0.4','0.60.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.503.0.6',plain,
% 24.56/24.95 ( mult(mult(mult(mult(X1,X2),X2),X3),X1) = mult(X2,mult(mult(X1,mult(X1,X3)),X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.503.0.5','0.439.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.503.1.0',plain,
% 24.56/24.95 ( mult(mult(mult(mult(X1,X2),X2),X3),X1) = mult(X2,mult(mult(X1,mult(X1,X3)),X2)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.503.0.6']),
% 24.56/24.95 [weight('<189,468,21,[1,0,0,3]>')]).
% 24.56/24.95 cnf('0.503.1.1',plain,
% 24.56/24.95 ( mult(X1,mult(X3,mult(X2,mult(X1,X2)))) = mult(X2,mult(mult(X1,mult(X1,X3)),X2)) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.503.1.0','0.401.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.503.2.0',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X3,mult(X1,X3)))) = mult(X3,mult(mult(X1,mult(X1,X2)),X3)) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.503.1.1']),
% 24.56/24.95 [equation_82]).
% 24.56/24.95 cnf('0.515.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X1,mult(X2,X2)),X3)) = ld(mult(X1,mult(X2,X2)),mult(X3,X1)) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.482.2.0','0.9.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.515.1.0',plain,
% 24.56/24.95 ( ld(X1,ld(ld(X1,mult(X2,X2)),X3)) = ld(mult(X1,mult(X2,X2)),mult(X3,X1)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.515.0.0']),
% 24.56/24.95 [weight('<189,482,9,[1,0,0,6]>')]).
% 24.56/24.95 cnf('0.515.2.0',plain,
% 24.56/24.95 ( ld(mult(X1,mult(X2,X2)),mult(X3,X1)) = ld(X1,ld(ld(X1,mult(X2,X2)),X3)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.515.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_432]).
% 24.56/24.95 cnf('0.642.0.0',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X3,X2))) = ld(X3,mult(X2,mult(mult(X3,mult(X3,X1)),X2))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.8.2.0','0.503.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.642.1.0',plain,
% 24.56/24.95 ( mult(X1,mult(X2,mult(X3,X2))) = ld(X3,mult(X2,mult(mult(X3,mult(X3,X1)),X2))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.642.0.0']),
% 24.56/24.95 [weight('<227,503,8,[0,0,0,2]>')]).
% 24.56/24.95 cnf('0.642.2.0',plain,
% 24.56/24.95 ( ld(X1,mult(X2,mult(mult(X1,mult(X1,X3)),X2))) = mult(X3,mult(X2,mult(X1,X2))) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.642.1.0',theory(equality)]),
% 24.56/24.95 [x,rule_554]).
% 24.56/24.95 cnf('0.651.0.0',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(mult(X2,X2),mult(X3,X3)))))) = ld(ld(mult(X2,X2),ld(ld(mult(X2,X2),mult(X3,X3)),X1)),X1) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.475.2.0','0.515.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1','L')]).
% 24.56/24.95 cnf('0.651.0.1',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(ld(mult(X2,X2),ld(ld(mult(X2,X2),mult(X3,X3)),X1)),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.0','0.60.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.2.2','L')]).
% 24.56/24.95 cnf('0.651.0.2',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(ld(X2,ld(X2,ld(ld(mult(X2,X2),mult(X3,X3)),X1))),X1) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.1','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.1','L')]).
% 24.56/24.95 cnf('0.651.0.3',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(X1,mult(mult(X2,mult(X2,X1)),ld(mult(X2,X2),mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.2','0.460.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.651.0.4',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(X1,ld(ld(mult(X3,X3),mult(X2,X2)),mult(X2,mult(X2,X1)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.3','0.36.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.651.0.5',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(X1,ld(ld(X3,ld(X3,mult(X2,X2))),mult(X2,mult(X2,X1)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.4','0.56.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.1','L')]).
% 24.56/24.95 cnf('0.651.0.6',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(X1,ld(X2,ld(ld(mult(X2,mult(X2,X1)),X2),mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.5','0.217.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.651.0.7',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(X1,ld(X2,ld(i(mult(X2,X1)),mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.6','0.32.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.2.1','L')]).
% 24.56/24.95 cnf('0.651.0.8',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(X1,ld(X2,ld(ld(X1,i(X2)),mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.7','0.30.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.2.1','L')]).
% 24.56/24.95 cnf('0.651.0.9',plain,
% 24.56/24.95 ( ld(X1,ld(X2,ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))))) = ld(X1,ld(X2,mult(mult(X2,X1),mult(X3,X3)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.651.0.8','0.38.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.2','L')]).
% 24.56/24.95 cnf('0.651.1.0',plain,
% 24.56/24.95 ( ld(X2,mult(X1,mult(X2,mult(X2,mult(X3,X3))))) = mult(mult(X2,X1),mult(X3,X3)) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.651.0.9']),
% 24.56/24.95 [weight('<227,515,475,[0,0,0,1]>')]).
% 24.56/24.95 cnf('0.651.2.0',plain,
% 24.56/24.95 ( ld(X1,mult(X2,mult(X1,mult(X1,mult(X3,X3))))) = mult(mult(X1,X2),mult(X3,X3)) ),
% 24.56/24.95 inference(orient,[status(thm)],['0.651.1.0',theory(equality)]),
% 24.56/24.95 [u,rule_562]).
% 24.56/24.95 cnf('0.1729.0.0',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),mult(X3,X4))) = ld(ld(X2,X1),mult(mult(X4,X3),mult(X1,X2))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.459.2.0','0.402.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.1729.1.0',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),mult(X3,X4))) = ld(ld(X2,X1),mult(mult(X4,X3),mult(X1,X2))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.1729.0.0']),
% 24.56/24.95 [weight('<275,459,402,[1,0,0,4]>')]).
% 24.56/24.95 cnf('0.1729.1.1',plain,
% 24.56/24.95 ( ld(X1,mult(mult(X2,mult(X2,X1)),mult(X3,X4))) = ld(X1,mult(mult(X4,X3),mult(X1,mult(X2,X2)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.1729.1.0','0.474.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.1729.2.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X1,X2)),mult(X3,X4)) = mult(mult(X4,X3),mult(X2,mult(X1,X1))) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.1729.1.1']),
% 24.56/24.95 [equation_252]).
% 24.56/24.95 cnf('0.1810.0.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(mult(X2,X2),X3)),mult(X2,X2)) = ld(X1,mult(mult(X2,X2),mult(mult(X1,mult(X1,X3)),mult(X2,X2)))) ),
% 24.56/24.95 inference(cp,[status(thm)],['0.651.2.0','0.437.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('0.1810.0.1',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,mult(X2,X3))),mult(X2,X2)) = ld(X1,mult(mult(X2,X2),mult(mult(X1,mult(X1,X3)),mult(X2,X2)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.1810.0.0','0.60.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.1.2','L')]).
% 24.56/24.95 cnf('0.1810.0.2',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,mult(X2,X3))),mult(X2,X2)) = mult(X3,mult(mult(X2,X2),mult(X1,mult(X2,X2)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.1810.0.1','0.642.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','L')]).
% 24.56/24.95 cnf('0.1810.0.3',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,mult(X2,X3))),mult(X2,X2)) = mult(X3,mult(X2,mult(X2,mult(X2,mult(X2,X1))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.1810.0.2','0.146.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('0.1810.1.0',plain,
% 24.56/24.95 ( mult(mult(X1,mult(X2,mult(X2,X3))),mult(X2,X2)) = mult(X3,mult(X2,mult(X2,mult(X2,mult(X2,X1))))) ),
% 24.56/24.95 inference(weigh,[status(thm)],['0.1810.0.3']),
% 24.56/24.95 [weight('<275,651,437,[1,0,0,2]>')]).
% 24.56/24.95 cnf('0.1810.1.1',plain,
% 24.56/24.95 ( mult(X2,mult(X2,mult(mult(mult(X2,X3),X2),X1))) = mult(X3,mult(X2,mult(X2,mult(X2,mult(X2,X1))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.1810.1.0','0.497.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('0.1810.1.2',plain,
% 24.56/24.95 ( mult(X2,mult(X2,mult(mult(X2,mult(X3,X2)),X1))) = mult(X3,mult(X2,mult(X2,mult(X2,mult(X2,X1))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['0.1810.1.1','0.89.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.1','L')]).
% 24.56/24.95 cnf('0.1810.2.0',plain,
% 24.56/24.95 ( mult(X1,mult(X1,mult(mult(X1,mult(X2,X1)),X3))) = mult(X2,mult(X1,mult(X1,mult(X1,mult(X1,X3))))) ),
% 24.56/24.95 inference(activate,[status(thm)],['0.1810.1.2']),
% 24.56/24.95 [equation_286]).
% 24.56/24.95 cnf('1.0.0.0',conjecture,
% 24.56/24.95 ( mult(mult(mult(a,mult(b,mult(b,b))),mult(b,mult(b,b))),c) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 file('/tmp/WALDMEISTER_15089_n016',conjecture_1)).
% 24.56/24.95 cnf('1.0.0.1',plain,
% 24.56/24.95 ( mult(c,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),a))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.0','0.401.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','L')]).
% 24.56/24.95 cnf('1.0.0.2',plain,
% 24.56/24.95 ( mult(c,mult(b,mult(b,mult(b,mult(mult(b,mult(b,b)),a))))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.1','0.155.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2','L')]).
% 24.56/24.95 cnf('1.0.0.3',plain,
% 24.56/24.95 ( mult(c,mult(b,mult(b,mult(b,mult(b,mult(b,mult(b,a))))))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.2','0.1810.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.4',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(c,b)),mult(b,mult(b,a))))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.3','0.1810.2.0',theory(equality)]),
% 24.56/24.95 [pos('L','R')]).
% 24.56/24.95 cnf('1.0.0.5',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,a)),mult(mult(b,c),b)))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.4','0.403.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.6',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(a,mult(b,b))))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.5','0.1729.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.7',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(a,b))))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.6','0.59.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.8',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.7','0.9.2.0',theory(equality)]),
% 24.56/24.95 [pos('L.2.2.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.9',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(a,mult(b,mult(b,mult(b,mult(mult(b,mult(b,b)),c))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.8','0.155.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2','L')]).
% 24.56/24.95 cnf('1.0.0.10',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(a,mult(b,mult(b,mult(b,mult(b,mult(b,mult(b,c))))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.9','0.1810.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.11',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(b,mult(b,mult(mult(b,mult(a,b)),mult(b,mult(b,c))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.10','0.1810.2.0',theory(equality)]),
% 24.56/24.95 [pos('R','R')]).
% 24.56/24.95 cnf('1.0.0.12',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(b,mult(b,mult(mult(b,mult(b,c)),mult(mult(b,a),b)))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.11','0.403.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.13',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(a,b))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.12','0.89.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.14',plain,
% 24.56/24.95 ( mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) ),
% 24.56/24.95 inference(reduction,[status(thm)],['1.0.0.13','0.9.2.0',theory(equality)]),
% 24.56/24.95 [pos('R.2.2.2.2','L')]).
% 24.56/24.95 cnf('1.0.0.15',plain,
% 24.56/24.95 ( $true ),
% 24.56/24.95 inference(trivial,[status(thm)],['1.0.0.14',theory(equality)]),
% 24.56/24.95 [conjecture_1]).
% 24.56/24.95
% 24.56/24.95 Proved Goals:
% 24.56/24.95 No. 1: mult(mult(mult(a,mult(b,mult(b,b))),mult(b,mult(b,b))),c) ?= mult(a,mult(mult(b,mult(b,b)),mult(mult(b,mult(b,b)),c))) joined, current: mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a))))) = mult(b,mult(b,mult(mult(b,mult(b,c)),mult(b,mult(b,a)))))
% 24.56/24.95 1 goal was specified, which was proved.
% 24.56/24.95 % SZS output end CNFRefutation
% 24.56/24.95 #END OF PROOF
% 24.56/24.95
% 24.56/24.95 Problem WALDMEISTER_15089_n016
% 24.56/24.95 CPs.gen 2695338
% 24.56/24.95 CPs.reexp 0
% 24.56/24.95 Select 93493
% 24.56/24.95 R 1524
% 24.56/24.95 E 286
% 24.56/24.95 vsize 10.3M
% 24.56/24.95 rss 5.8M
% 24.56/24.95 process.time 23.959s
% 24.56/24.95 wallclock.time 23.960s
% 24.56/24.95 status S
% 24.56/24.95
% 24.56/24.95
% 24.56/24.95 Waldmeister states: Goal proved.
% 24.56/24.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------