TSTP Solution File: GRP705-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP705-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 12:28:11 EDT 2022
% Result : Unsatisfiable 1.29s 1.71s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP705-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 10:33:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) mult(mult(op_a,op_b),a) ?=? mult(op_a,mult(op_b,a))
% 0.59/0.98
% 0.59/0.98 Detected structure: Loop
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 1.29/1.71 joined goal: 1 mult(mult(op_a,op_b),a) ?= mult(op_a,mult(op_b,a)) to mult(op_a,mult(op_b,a))
% 1.29/1.71 goal joined
% 1.29/1.71 % SZS status Unsatisfiable
% 1.29/1.71 #START OF PROOF
% 1.29/1.71 % SZS output start CNFRefutation
% 1.29/1.71 cnf('0.1.0.0',axiom,
% 1.29/1.71 ( X1 = mult(X2,ld(X2,X1)) ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.1.1.0',plain,
% 1.29/1.71 ( X1 = mult(X2,ld(X2,X1)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.29/1.71 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.1.2.0',plain,
% 1.29/1.71 ( mult(X1,ld(X1,X2)) = X2 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_1]).
% 1.29/1.71 cnf('0.2.0.0',axiom,
% 1.29/1.71 ( X1 = mult(X1,unit) ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.2.1.0',plain,
% 1.29/1.71 ( X1 = mult(X1,unit) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.29/1.71 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.29/1.71 cnf('0.2.2.0',plain,
% 1.29/1.71 ( mult(X1,unit) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_2]).
% 1.29/1.71 cnf('0.3.0.0',axiom,
% 1.29/1.71 ( X1 = mult(unit,X1) ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.3.1.0',plain,
% 1.29/1.71 ( X1 = mult(unit,X1) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.29/1.71 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.29/1.71 cnf('0.3.2.0',plain,
% 1.29/1.71 ( mult(unit,X1) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_3]).
% 1.29/1.71 cnf('0.4.0.0',axiom,
% 1.29/1.71 ( X1 = mult(rd(X1,X2),X2) ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.4.1.0',plain,
% 1.29/1.71 ( X1 = mult(rd(X1,X2),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.29/1.71 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.29/1.71 cnf('0.4.2.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),X2) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_4]).
% 1.29/1.71 cnf('0.5.0.0',axiom,
% 1.29/1.71 ( X1 = rd(mult(X1,X2),X2) ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.5.1.0',plain,
% 1.29/1.71 ( X1 = rd(mult(X1,X2),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.29/1.71 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.29/1.71 cnf('0.5.2.0',plain,
% 1.29/1.71 ( rd(mult(X1,X2),X2) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_5]).
% 1.29/1.71 cnf('0.6.0.0',axiom,
% 1.29/1.71 ( X1 = ld(X2,mult(X2,X1)) ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.6.1.0',plain,
% 1.29/1.71 ( X1 = ld(X2,mult(X2,X1)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.29/1.71 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.29/1.71 cnf('0.6.2.0',plain,
% 1.29/1.71 ( ld(X1,mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_6]).
% 1.29/1.71 cnf('0.7.0.0',axiom,
% 1.29/1.71 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3) ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.7.1.0',plain,
% 1.29/1.71 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.29/1.71 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.29/1.71 cnf('0.7.2.0',plain,
% 1.29/1.71 ( mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_7]).
% 1.29/1.71 cnf('0.8.0.0',axiom,
% 1.29/1.71 ( mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))) = unit ),
% 1.29/1.71 file('/tmp/WALDMEISTER_9672_n011')).
% 1.29/1.71 cnf('0.8.1.0',plain,
% 1.29/1.71 ( mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))) = unit ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.29/1.71 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.29/1.71 cnf('0.8.2.0',plain,
% 1.29/1.71 ( mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))) = unit ),
% 1.29/1.71 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_8]).
% 1.29/1.71 cnf('0.10.0.0',plain,
% 1.29/1.71 ( ld(unit,X1) = X1 ),
% 1.29/1.71 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.10.1.0',plain,
% 1.29/1.71 ( ld(unit,X1) = X1 ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.29/1.71 [weight('<19,3,1,[1,0,0,0]>')]).
% 1.29/1.71 cnf('0.10.2.0',plain,
% 1.29/1.71 ( ld(unit,X1) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_10]).
% 1.29/1.71 cnf('0.11.0.0',plain,
% 1.29/1.71 ( X1 = rd(X1,unit) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.11.1.0',plain,
% 1.29/1.71 ( X1 = rd(X1,unit) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.29/1.71 [weight('<19,4,2,[1,0,0,0]>')]).
% 1.29/1.71 cnf('0.11.2.0',plain,
% 1.29/1.71 ( rd(X1,unit) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_11]).
% 1.29/1.71 cnf('0.14.0.0',plain,
% 1.29/1.71 ( X1 = rd(X2,ld(X1,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.14.1.0',plain,
% 1.29/1.71 ( X1 = rd(X2,ld(X1,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.29/1.71 [weight('<41,5,1,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.14.2.0',plain,
% 1.29/1.71 ( rd(X1,ld(X2,X1)) = X2 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_14]).
% 1.29/1.71 cnf('0.15.0.0',plain,
% 1.29/1.71 ( X1 = ld(rd(X2,X1),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.15.1.0',plain,
% 1.29/1.71 ( X1 = ld(rd(X2,X1),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.29/1.71 [weight('<41,6,4,[1,0,0,2]>')]).
% 1.29/1.71 cnf('0.15.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),X1) = X2 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_15]).
% 1.29/1.71 cnf('0.18.0.0',plain,
% 1.29/1.71 ( mult(X1,mult(X2,mult(X2,unit))) = mult(mult(X1,X2),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.18.0.1',plain,
% 1.29/1.71 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.18.0.0','0.2.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2.2','L')]).
% 1.29/1.71 cnf('0.18.1.0',plain,
% 1.29/1.71 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.18.0.1']),
% 1.29/1.71 [weight('<65,7,2,[1,0,0,0]>')]).
% 1.29/1.71 cnf('0.18.2.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_18]).
% 1.29/1.71 cnf('0.20.0.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.18.2.0','0.4.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.20.1.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.29/1.71 [weight('<87,18,4,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.20.2.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_20]).
% 1.29/1.71 cnf('0.24.0.0',plain,
% 1.29/1.71 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.5.2.0','0.20.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.24.1.0',plain,
% 1.29/1.71 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.24.0.0']),
% 1.29/1.71 [weight('<87,20,5,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.24.2.0',plain,
% 1.29/1.71 ( rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_24]).
% 1.29/1.71 cnf('0.27.0.0',plain,
% 1.29/1.71 ( rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.24.2.0','0.4.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.27.1.0',plain,
% 1.29/1.71 ( rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.29/1.71 [weight('<65,24,4,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.27.2.0',plain,
% 1.29/1.71 ( rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_27]).
% 1.29/1.71 cnf('0.34.0.0',plain,
% 1.29/1.71 ( mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 1.29/1.71 cnf('0.34.0.1',plain,
% 1.29/1.71 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.34.0.0','0.18.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.34.1.0',plain,
% 1.29/1.71 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.34.0.1']),
% 1.29/1.71 [weight('<119,7,18,[0,0,0,0]>')]).
% 1.29/1.71 cnf('0.34.2.0',plain,
% 1.29/1.71 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_34]).
% 1.29/1.71 cnf('0.35.0.0',plain,
% 1.29/1.71 ( mult(unit,mult(X1,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.34.2.0','0.3.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.35.0.1',plain,
% 1.29/1.71 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.35.0.0','0.3.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.35.1.0',plain,
% 1.29/1.71 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.35.0.1']),
% 1.29/1.71 [weight('<65,34,3,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.35.2.0',plain,
% 1.29/1.71 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_35]).
% 1.29/1.71 cnf('0.43.0.0',plain,
% 1.29/1.71 ( mult(X1,X1) = rd(mult(X1,mult(X1,X2)),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.5.2.0','0.35.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.43.1.0',plain,
% 1.29/1.71 ( mult(X1,X1) = rd(mult(X1,mult(X1,X2)),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.43.0.0']),
% 1.29/1.71 [weight('<87,35,5,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.43.2.0',plain,
% 1.29/1.71 ( rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_43]).
% 1.29/1.71 cnf('0.44.0.0',plain,
% 1.29/1.71 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.43.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1.2','L')]).
% 1.29/1.71 cnf('0.44.1.0',plain,
% 1.29/1.71 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.44.0.0']),
% 1.29/1.71 [weight('<87,43,1,[1,0,0,3]>')]).
% 1.29/1.71 cnf('0.44.2.0',plain,
% 1.29/1.71 ( rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_44]).
% 1.29/1.71 cnf('0.48.0.0',plain,
% 1.29/1.71 ( mult(X1,X1) = rd(X2,ld(X1,ld(X1,X2))) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.44.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.48.1.0',plain,
% 1.29/1.71 ( mult(X1,X1) = rd(X2,ld(X1,ld(X1,X2))) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.48.0.0']),
% 1.29/1.71 [weight('<87,44,1,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.48.2.0',plain,
% 1.29/1.71 ( rd(X1,ld(X2,ld(X2,X1))) = mult(X2,X2) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_48]).
% 1.29/1.71 cnf('0.49.0.0',plain,
% 1.29/1.71 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.15.2.0','0.48.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.49.1.0',plain,
% 1.29/1.71 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.49.0.0']),
% 1.29/1.71 [weight('<65,48,15,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.49.2.0',plain,
% 1.29/1.71 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_49]).
% 1.29/1.71 cnf('0.120.0.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.34.2.0','0.20.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.120.1.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.120.0.0']),
% 1.29/1.71 [weight('<149,34,20,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.120.2.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_120]).
% 1.29/1.71 cnf('0.121.0.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,X2),mult(X2,X3)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.120.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2.2','L')]).
% 1.29/1.71 cnf('0.121.1.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,X2),mult(X2,X3)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.121.0.0']),
% 1.29/1.71 [weight('<119,120,1,[1,0,0,6]>')]).
% 1.29/1.71 cnf('0.121.2.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,X2),mult(X2,X3)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_121]).
% 1.29/1.71 cnf('0.122.0.0',plain,
% 1.29/1.71 ( mult(rd(unit,X1),mult(X1,X2)) = mult(X1,ld(X1,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.121.2.0','0.3.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.122.0.1',plain,
% 1.29/1.71 ( mult(rd(unit,X1),mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.122.0.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('R','L')]).
% 1.29/1.71 cnf('0.122.1.0',plain,
% 1.29/1.71 ( mult(rd(unit,X1),mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.122.0.1']),
% 1.29/1.71 [weight('<71,121,3,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.122.2.0',plain,
% 1.29/1.71 ( mult(rd(unit,X1),mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_122]).
% 1.29/1.71 cnf('0.123.0.0',plain,
% 1.29/1.71 ( mult(X1,X2) = mult(rd(unit,rd(unit,X1)),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.122.2.0','0.122.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.123.1.0',plain,
% 1.29/1.71 ( X1 = rd(unit,rd(unit,X1)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.123.0.0']),
% 1.29/1.71 [weight('<41,122,122,[0,0,0,4]>')]).
% 1.29/1.71 cnf('0.123.2.0',plain,
% 1.29/1.71 ( rd(unit,rd(unit,X1)) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_123]).
% 1.29/1.71 cnf('0.124.0.0',plain,
% 1.29/1.71 ( ld(X1,unit) = rd(unit,X1) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.123.2.0','0.14.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.124.1.0',plain,
% 1.29/1.71 ( ld(X1,unit) = rd(unit,X1) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.124.0.0']),
% 1.29/1.71 [weight('<27,123,14,[1,0,0,2]>')]).
% 1.29/1.71 cnf('0.124.2.0',plain,
% 1.29/1.71 ( rd(unit,X1) = ld(X1,unit) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_124]).
% 1.29/1.71 cnf('0.130.0.0',plain,
% 1.29/1.71 ( mult(rd(unit,X1),mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(interreduction_right,[status(thm)],['0.122.2.0'])).
% 1.29/1.71 cnf('0.130.0.1',plain,
% 1.29/1.71 ( mult(ld(X1,unit),mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.130.0.0','0.124.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.130.1.0',plain,
% 1.29/1.71 ( mult(ld(X1,unit),mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.130.0.1']),
% 1.29/1.71 [weight('<71,122,124,[0,0,0,0]>')]).
% 1.29/1.71 cnf('0.130.2.0',plain,
% 1.29/1.71 ( mult(ld(X1,unit),mult(X1,X2)) = X2 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_130]).
% 1.29/1.71 cnf('0.131.0.0',plain,
% 1.29/1.71 ( ld(X1,X2) = mult(ld(X1,unit),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.130.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.131.1.0',plain,
% 1.29/1.71 ( ld(X1,X2) = mult(ld(X1,unit),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.131.0.0']),
% 1.29/1.71 [weight('<53,130,1,[1,0,0,4]>')]).
% 1.29/1.71 cnf('0.131.2.0',plain,
% 1.29/1.71 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_131]).
% 1.29/1.71 cnf('0.132.0.0',plain,
% 1.29/1.71 ( ld(X1,unit) = rd(ld(X1,X2),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.5.2.0','0.131.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.132.1.0',plain,
% 1.29/1.71 ( ld(X1,unit) = rd(ld(X1,X2),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.132.0.0']),
% 1.29/1.71 [weight('<53,131,5,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.132.2.0',plain,
% 1.29/1.71 ( rd(ld(X1,X2),X2) = ld(X1,unit) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_132]).
% 1.29/1.71 cnf('0.133.0.0',plain,
% 1.29/1.71 ( ld(rd(unit,X1),X2) = mult(X1,X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.131.2.0','0.15.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.133.0.1',plain,
% 1.29/1.71 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.133.0.0','0.124.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.133.1.0',plain,
% 1.29/1.71 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.133.0.1']),
% 1.29/1.71 [weight('<53,131,15,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.133.2.0',plain,
% 1.29/1.71 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_133]).
% 1.29/1.71 cnf('0.134.0.0',plain,
% 1.29/1.71 ( ld(X1,unit) = rd(X2,mult(X1,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.132.2.0','0.6.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.134.1.0',plain,
% 1.29/1.71 ( ld(X1,unit) = rd(X2,mult(X1,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.134.0.0']),
% 1.29/1.71 [weight('<53,132,6,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.134.2.0',plain,
% 1.29/1.71 ( rd(X1,mult(X2,X1)) = ld(X2,unit) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_134]).
% 1.29/1.71 cnf('0.135.0.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.132.2.0','0.15.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.135.1.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.135.0.0']),
% 1.29/1.71 [weight('<53,132,15,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.135.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_135]).
% 1.29/1.71 cnf('0.141.0.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.131.2.0','0.135.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.141.1.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.141.0.0']),
% 1.29/1.71 [weight('<65,135,131,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.141.2.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_141]).
% 1.29/1.71 cnf('0.177.0.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),ld(rd(X2,X1),X3)) = X3 ),
% 1.29/1.71 inference(cp,[status(thm)],['0.141.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.177.1.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),ld(rd(X2,X1),X3)) = X3 ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.177.0.0']),
% 1.29/1.71 [weight('<109,141,1,[1,0,0,0]>')]).
% 1.29/1.71 cnf('0.177.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),ld(rd(X2,X1),X3)) = X3 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.177.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_177]).
% 1.29/1.71 cnf('0.185.0.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,X2),mult(X2,X3)) ),
% 1.29/1.71 inference(interreduction_right,[status(thm)],['0.121.2.0'])).
% 1.29/1.71 cnf('0.185.0.1',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = ld(rd(X2,X1),mult(X2,X3)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.185.0.0','0.141.2.0',theory(equality)]),
% 1.29/1.71 [pos('R','L')]).
% 1.29/1.71 cnf('0.185.1.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = ld(rd(X2,X1),mult(X2,X3)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.185.0.1']),
% 1.29/1.71 [weight('<119,121,141,[0,0,0,0]>')]).
% 1.29/1.71 cnf('0.185.2.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = ld(rd(X2,X1),mult(X2,X3)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_185]).
% 1.29/1.71 cnf('0.186.0.0',plain,
% 1.29/1.71 ( ld(rd(rd(X1,X2),X3),mult(rd(X1,X2),unit)) = mult(mult(X3,rd(X1,X2)),rd(X2,X1)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.185.2.0','0.135.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.186.0.1',plain,
% 1.29/1.71 ( ld(rd(rd(X1,X2),X3),ld(rd(X2,X1),unit)) = mult(mult(X3,rd(X1,X2)),rd(X2,X1)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.186.0.0','0.141.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.186.0.2',plain,
% 1.29/1.71 ( ld(rd(rd(X1,X2),X3),rd(X1,X2)) = mult(mult(X3,rd(X1,X2)),rd(X2,X1)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.186.0.1','0.135.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.186.0.3',plain,
% 1.29/1.71 ( X3 = mult(mult(X3,rd(X1,X2)),rd(X2,X1)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.186.0.2','0.15.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.186.1.0',plain,
% 1.29/1.71 ( X3 = mult(mult(X3,rd(X1,X2)),rd(X2,X1)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.186.0.3']),
% 1.29/1.71 [weight('<109,185,135,[1,0,0,4]>')]).
% 1.29/1.71 cnf('0.186.2.0',plain,
% 1.29/1.71 ( mult(mult(X1,rd(X2,X3)),rd(X3,X2)) = X1 ),
% 1.29/1.71 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_186]).
% 1.29/1.71 cnf('0.187.0.0',plain,
% 1.29/1.71 ( mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.5.2.0','0.186.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.187.1.0',plain,
% 1.29/1.71 ( mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.187.0.0']),
% 1.29/1.71 [weight('<65,186,5,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.187.2.0',plain,
% 1.29/1.71 ( mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_187]).
% 1.29/1.71 cnf('0.188.0.0',plain,
% 1.29/1.71 ( rd(X1,rd(X2,mult(X3,X2))) = mult(X1,X3) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.187.2.0','0.5.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.188.0.1',plain,
% 1.29/1.71 ( rd(X1,ld(X3,unit)) = mult(X1,X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.188.0.0','0.134.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.188.1.0',plain,
% 1.29/1.71 ( rd(X1,ld(X3,unit)) = mult(X1,X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.188.0.1']),
% 1.29/1.71 [weight('<53,187,5,[1,0,0,2]>')]).
% 1.29/1.71 cnf('0.188.2.0',plain,
% 1.29/1.71 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_188]).
% 1.29/1.71 cnf('0.189.0.0',plain,
% 1.29/1.71 ( rd(X1,rd(X2,unit)) = mult(X1,ld(X2,unit)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.187.2.0','0.124.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.189.0.1',plain,
% 1.29/1.71 ( rd(X1,X2) = mult(X1,ld(X2,unit)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.189.0.0','0.11.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.189.1.0',plain,
% 1.29/1.71 ( rd(X1,X2) = mult(X1,ld(X2,unit)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.189.0.1']),
% 1.29/1.71 [weight('<53,187,124,[1,0,0,2]>')]).
% 1.29/1.71 cnf('0.189.2.0',plain,
% 1.29/1.71 ( mult(X1,ld(X2,unit)) = rd(X1,X2) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_189]).
% 1.29/1.71 cnf('0.190.0.0',plain,
% 1.29/1.71 ( ld(X1,unit) = ld(mult(X2,X1),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.15.2.0','0.188.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.190.1.0',plain,
% 1.29/1.71 ( ld(X1,unit) = ld(mult(X2,X1),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.190.0.0']),
% 1.29/1.71 [weight('<53,188,15,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.190.2.0',plain,
% 1.29/1.71 ( ld(mult(X1,X2),X1) = ld(X2,unit) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_190]).
% 1.29/1.71 cnf('0.192.0.0',plain,
% 1.29/1.71 ( ld(X1,unit) = ld(X2,rd(X2,X1)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.6.2.0','0.189.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.192.1.0',plain,
% 1.29/1.71 ( ld(X1,unit) = ld(X2,rd(X2,X1)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.192.0.0']),
% 1.29/1.71 [weight('<53,189,6,[0,0,0,2]>')]).
% 1.29/1.71 cnf('0.192.2.0',plain,
% 1.29/1.71 ( ld(X1,rd(X1,X2)) = ld(X2,unit) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_192]).
% 1.29/1.71 cnf('0.193.0.0',plain,
% 1.29/1.71 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.190.2.0','0.1.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.193.1.0',plain,
% 1.29/1.71 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.193.0.0']),
% 1.29/1.71 [weight('<53,190,1,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.193.2.0',plain,
% 1.29/1.71 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_193]).
% 1.29/1.71 cnf('0.194.0.0',plain,
% 1.29/1.71 ( rd(ld(X1,unit),X2) = ld(mult(X2,X1),unit) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.135.2.0','0.188.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.194.1.0',plain,
% 1.29/1.71 ( rd(ld(X1,unit),X2) = ld(mult(X2,X1),unit) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.194.0.0']),
% 1.29/1.71 [weight('<65,188,135,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.194.2.0',plain,
% 1.29/1.71 ( rd(ld(X1,unit),X2) = ld(mult(X2,X1),unit) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_194]).
% 1.29/1.71 cnf('0.197.0.0',plain,
% 1.29/1.71 ( rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.189.2.0','0.131.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.197.1.0',plain,
% 1.29/1.71 ( rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.197.0.0']),
% 1.29/1.71 [weight('<65,189,131,[1,0,0,0]>')]).
% 1.29/1.71 cnf('0.197.1.1',plain,
% 1.29/1.71 ( ld(mult(X2,X1),unit) = ld(X1,ld(X2,unit)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.197.1.0','0.194.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.197.2.0',plain,
% 1.29/1.71 ( ld(mult(X1,X2),unit) = ld(X2,ld(X1,unit)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.197.1.1',theory(equality)]),
% 1.29/1.71 [u,rule_197]).
% 1.29/1.71 cnf('0.198.0.0',plain,
% 1.29/1.71 ( ld(mult(X1,X2),unit) = rd(ld(X2,unit),X1) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.132.2.0','0.190.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.198.1.0',plain,
% 1.29/1.71 ( ld(mult(X1,X2),unit) = rd(ld(X2,unit),X1) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.198.0.0']),
% 1.29/1.71 [weight('<65,190,132,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.198.1.1',plain,
% 1.29/1.71 ( ld(X2,ld(X1,unit)) = rd(ld(X2,unit),X1) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.198.1.0','0.197.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.198.2.0',plain,
% 1.29/1.71 ( rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.198.1.1',theory(equality)]),
% 1.29/1.71 [x,rule_198]).
% 1.29/1.71 cnf('0.199.0.0',plain,
% 1.29/1.71 ( ld(X1,mult(X2,X2)) = ld(ld(X2,ld(X2,X1)),unit) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.193.2.0','0.49.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.199.0.1',plain,
% 1.29/1.71 ( ld(X1,mult(X2,X2)) = ld(ld(X2,X1),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.199.0.0','0.193.2.0',theory(equality)]),
% 1.29/1.71 [pos('R','L')]).
% 1.29/1.71 cnf('0.199.1.0',plain,
% 1.29/1.71 ( ld(X1,mult(X2,X2)) = ld(ld(X2,X1),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.199.0.1']),
% 1.29/1.71 [weight('<65,193,49,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.199.2.0',plain,
% 1.29/1.71 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_199]).
% 1.29/1.71 cnf('0.200.0.0',plain,
% 1.29/1.71 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.131.2.0','0.193.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.200.1.0',plain,
% 1.29/1.71 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.200.0.0']),
% 1.29/1.71 [weight('<65,193,131,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.200.2.0',plain,
% 1.29/1.71 ( mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_200]).
% 1.29/1.71 cnf('0.201.0.0',plain,
% 1.29/1.71 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.188.2.0','0.193.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.201.1.0',plain,
% 1.29/1.71 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.201.0.0']),
% 1.29/1.71 [weight('<65,193,188,[0,0,0,2]>')]).
% 1.29/1.71 cnf('0.201.2.0',plain,
% 1.29/1.71 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_201]).
% 1.29/1.71 cnf('0.208.0.0',plain,
% 1.29/1.71 ( mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = ld(op_b,unit) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.208.1.0',plain,
% 1.29/1.71 ( mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = ld(op_b,unit) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.208.0.0']),
% 1.29/1.71 [weight('<?,8,6,[0,0,0,2]>')]).
% 1.29/1.71 cnf('0.208.2.0',plain,
% 1.29/1.71 ( mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = ld(op_b,unit) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_208]).
% 1.29/1.71 cnf('0.213.0.0',plain,
% 1.29/1.71 ( rd(X1,rd(ld(X2,unit),X3)) = mult(X1,mult(X3,X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.187.2.0','0.188.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.213.1.0',plain,
% 1.29/1.71 ( rd(X1,rd(ld(X2,unit),X3)) = mult(X1,mult(X3,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.213.0.0']),
% 1.29/1.71 [weight('<103,188,187,[0,0,0,2]>')]).
% 1.29/1.71 cnf('0.213.1.1',plain,
% 1.29/1.71 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.213.1.0','0.198.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.213.2.0',plain,
% 1.29/1.71 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.213.1.1',theory(equality)]),
% 1.29/1.71 [u,rule_213]).
% 1.29/1.71 cnf('0.216.0.0',plain,
% 1.29/1.71 ( rd(rd(X1,X2),X3) = ld(rd(X2,X1),ld(X3,unit)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.177.2.0','0.192.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.216.1.0',plain,
% 1.29/1.71 ( rd(rd(X1,X2),X3) = ld(rd(X2,X1),ld(X3,unit)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.216.0.0']),
% 1.29/1.71 [weight('<103,192,177,[0,0,0,4]>')]).
% 1.29/1.71 cnf('0.216.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),ld(X3,unit)) = rd(rd(X2,X1),X3) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_216]).
% 1.29/1.71 cnf('0.239.0.0',plain,
% 1.29/1.71 ( mult(mult(X1,X2),ld(X2,X3)) = ld(rd(X2,X1),mult(X2,X3)) ),
% 1.29/1.71 inference(interreduction_right,[status(thm)],['0.185.2.0'])).
% 1.29/1.71 cnf('0.239.0.1',plain,
% 1.29/1.71 ( rd(mult(X1,X2),ld(X3,X2)) = ld(rd(X2,X1),mult(X2,X3)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.239.0.0','0.201.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.239.1.0',plain,
% 1.29/1.71 ( rd(mult(X1,X2),ld(X3,X2)) = ld(rd(X2,X1),mult(X2,X3)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.239.0.1']),
% 1.29/1.71 [weight('<119,185,201,[0,0,0,0]>')]).
% 1.29/1.71 cnf('0.239.2.0',plain,
% 1.29/1.71 ( rd(mult(X1,X2),ld(X3,X2)) = ld(rd(X2,X1),mult(X2,X3)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.239.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_239]).
% 1.29/1.71 cnf('0.284.0.0',plain,
% 1.29/1.71 ( mult(rd(X1,X2),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3) ),
% 1.29/1.71 inference(interreduction_right,[status(thm)],['0.120.2.0'])).
% 1.29/1.71 cnf('0.284.0.1',plain,
% 1.29/1.71 ( ld(rd(X2,X1),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.284.0.0','0.141.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.284.1.0',plain,
% 1.29/1.71 ( ld(rd(X2,X1),mult(X2,mult(X2,X3))) = mult(mult(X1,X2),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.284.0.1']),
% 1.29/1.71 [weight('<149,120,141,[0,0,0,0]>')]).
% 1.29/1.71 cnf('0.284.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),mult(X1,mult(X1,X3))) = mult(mult(X2,X1),X3) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.284.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_284]).
% 1.29/1.71 cnf('0.285.0.0',plain,
% 1.29/1.71 ( mult(mult(ld(X1,X2),X2),X3) = ld(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.284.2.0','0.14.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.285.0.1',plain,
% 1.29/1.71 ( mult(ld(ld(X2,X1),X2),X3) = ld(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.285.0.0','0.200.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.285.0.2',plain,
% 1.29/1.71 ( mult(ld(X1,mult(X2,X2)),X3) = ld(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.285.0.1','0.199.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.285.0.3',plain,
% 1.29/1.71 ( ld(ld(mult(X2,X2),X1),X3) = ld(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.285.0.2','0.200.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.285.0.4',plain,
% 1.29/1.71 ( ld(ld(X2,ld(X2,X1)),X3) = ld(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.285.0.3','0.49.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.285.1.0',plain,
% 1.29/1.71 ( ld(ld(X2,ld(X2,X1)),X3) = ld(X1,mult(X2,mult(X2,X3))) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.285.0.4']),
% 1.29/1.71 [weight('<119,284,14,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.285.2.0',plain,
% 1.29/1.71 ( ld(ld(X1,ld(X1,X2)),X3) = ld(X2,mult(X1,mult(X1,X3))) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.285.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_285]).
% 1.29/1.71 cnf('0.288.0.0',plain,
% 1.29/1.71 ( ld(ld(X1,ld(X1,X2)),ld(X3,unit)) = rd(ld(X2,mult(X1,mult(X1,unit))),X3) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.198.2.0','0.285.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.288.0.1',plain,
% 1.29/1.71 ( ld(X2,mult(X1,mult(X1,ld(X3,unit)))) = rd(ld(X2,mult(X1,mult(X1,unit))),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.288.0.0','0.285.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.288.0.2',plain,
% 1.29/1.71 ( ld(X2,mult(X1,rd(X1,ld(unit,X3)))) = rd(ld(X2,mult(X1,mult(X1,unit))),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.288.0.1','0.201.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2.2','L')]).
% 1.29/1.71 cnf('0.288.0.3',plain,
% 1.29/1.71 ( ld(X2,rd(X1,rd(ld(unit,X3),X1))) = rd(ld(X2,mult(X1,mult(X1,unit))),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.288.0.2','0.187.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.288.0.4',plain,
% 1.29/1.71 ( ld(X2,rd(X1,rd(X3,X1))) = rd(ld(X2,mult(X1,mult(X1,unit))),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.288.0.3','0.10.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2.2.1','L')]).
% 1.29/1.71 cnf('0.288.0.5',plain,
% 1.29/1.71 ( ld(X2,rd(X1,rd(X3,X1))) = rd(ld(X2,mult(X1,X1)),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.288.0.4','0.2.2.0',theory(equality)]),
% 1.29/1.71 [pos('R.1.2.2','L')]).
% 1.29/1.71 cnf('0.288.1.0',plain,
% 1.29/1.71 ( ld(X2,rd(X1,rd(X3,X1))) = rd(ld(X2,mult(X1,X1)),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.288.0.5']),
% 1.29/1.71 [weight('<119,285,198,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.288.2.0',plain,
% 1.29/1.71 ( rd(ld(X1,mult(X2,X2)),X3) = ld(X1,rd(X2,rd(X3,X2))) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.288.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_288]).
% 1.29/1.71 cnf('0.290.0.0',plain,
% 1.29/1.71 ( ld(ld(X1,unit),rd(X2,rd(X3,X2))) = rd(mult(X1,mult(X2,X2)),X3) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.288.2.0','0.133.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.290.0.1',plain,
% 1.29/1.71 ( mult(X1,rd(X2,rd(X3,X2))) = rd(mult(X1,mult(X2,X2)),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.290.0.0','0.133.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.290.0.2',plain,
% 1.29/1.71 ( rd(X1,rd(rd(X3,X2),X2)) = rd(mult(X1,mult(X2,X2)),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.290.0.1','0.187.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.290.0.3',plain,
% 1.29/1.71 ( rd(X1,rd(X3,mult(X2,X2))) = rd(mult(X1,mult(X2,X2)),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.290.0.2','0.27.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.290.1.0',plain,
% 1.29/1.71 ( rd(X1,rd(X3,mult(X2,X2))) = rd(mult(X1,mult(X2,X2)),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.290.0.3']),
% 1.29/1.71 [weight('<119,288,133,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.290.2.0',plain,
% 1.29/1.71 ( rd(mult(X1,mult(X2,X2)),X3) = rd(X1,rd(X3,mult(X2,X2))) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.290.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_290]).
% 1.29/1.71 cnf('0.292.0.0',plain,
% 1.29/1.71 ( rd(X1,mult(X2,mult(X3,X3))) = ld(rd(X2,rd(X1,mult(X3,X3))),unit) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.135.2.0','0.290.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.292.0.1',plain,
% 1.29/1.71 ( rd(X1,mult(X2,mult(X3,X3))) = rd(rd(X1,mult(X3,X3)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.292.0.0','0.135.2.0',theory(equality)]),
% 1.29/1.71 [pos('R','L')]).
% 1.29/1.71 cnf('0.292.1.0',plain,
% 1.29/1.71 ( rd(X1,mult(X2,mult(X3,X3))) = rd(rd(X1,mult(X3,X3)),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.292.0.1']),
% 1.29/1.71 [weight('<119,290,135,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.292.2.0',plain,
% 1.29/1.71 ( rd(rd(X1,mult(X2,X2)),X3) = rd(X1,mult(X3,mult(X2,X2))) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.292.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_292]).
% 1.29/1.71 cnf('0.303.0.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),mult(X1,rd(X1,X3))) = rd(mult(X2,X1),X3) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.239.2.0','0.15.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.303.0.1',plain,
% 1.29/1.71 ( ld(rd(X1,X2),rd(X1,rd(X3,X1))) = rd(mult(X2,X1),X3) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.303.0.0','0.187.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.303.1.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),rd(X1,rd(X3,X1))) = rd(mult(X2,X1),X3) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.303.0.1']),
% 1.29/1.71 [weight('<149,239,15,[1,0,0,4]>')]).
% 1.29/1.71 cnf('0.303.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),rd(X1,rd(X3,X1))) = rd(mult(X2,X1),X3) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.303.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_303]).
% 1.29/1.71 cnf('0.353.0.0',plain,
% 1.29/1.71 ( rd(X1,rd(X2,X1)) = ld(rd(X3,X1),rd(mult(X3,X1),X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.177.2.0','0.303.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.353.1.0',plain,
% 1.29/1.71 ( rd(X1,rd(X2,X1)) = ld(rd(X3,X1),rd(mult(X3,X1),X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.353.0.0']),
% 1.29/1.71 [weight('<149,303,177,[0,0,0,4]>')]).
% 1.29/1.71 cnf('0.353.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,X2),rd(mult(X1,X2),X3)) = rd(X2,rd(X3,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.353.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_353]).
% 1.29/1.71 cnf('0.430.0.0',plain,
% 1.29/1.71 ( rd(X1,rd(X2,X1)) = ld(rd(X3,mult(X1,X1)),rd(mult(rd(X3,X1),X1),X2)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.353.2.0','0.27.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.430.0.1',plain,
% 1.29/1.71 ( rd(X1,rd(X2,X1)) = ld(rd(X3,mult(X1,X1)),rd(ld(rd(X1,X3),X1),X2)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.430.0.0','0.141.2.0',theory(equality)]),
% 1.29/1.71 [pos('R.2.1','L')]).
% 1.29/1.71 cnf('0.430.0.2',plain,
% 1.29/1.71 ( rd(X1,rd(X2,X1)) = ld(rd(X3,mult(X1,X1)),rd(X3,X2)) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.430.0.1','0.15.2.0',theory(equality)]),
% 1.29/1.71 [pos('R.2.1','L')]).
% 1.29/1.71 cnf('0.430.1.0',plain,
% 1.29/1.71 ( rd(X1,rd(X2,X1)) = ld(rd(X3,mult(X1,X1)),rd(X3,X2)) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.430.0.2']),
% 1.29/1.71 [weight('<149,353,27,[1,0,0,1]>')]).
% 1.29/1.71 cnf('0.430.2.0',plain,
% 1.29/1.71 ( ld(rd(X1,mult(X2,X2)),rd(X1,X3)) = rd(X2,rd(X3,X2)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.430.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_430]).
% 1.29/1.71 cnf('0.433.0.0',plain,
% 1.29/1.71 ( rd(X1,rd(rd(X2,X3),X1)) = rd(mult(mult(X1,X1),X3),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.430.2.0','0.303.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.433.0.1',plain,
% 1.29/1.71 ( rd(X1,rd(rd(X2,X3),X1)) = rd(mult(X1,mult(X1,X3)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.433.0.0','0.35.2.0',theory(equality)]),
% 1.29/1.71 [pos('R.1','L')]).
% 1.29/1.71 cnf('0.433.1.0',plain,
% 1.29/1.71 ( rd(X1,rd(rd(X2,X3),X1)) = rd(mult(X1,mult(X1,X3)),X2) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.433.0.1']),
% 1.29/1.71 [weight('<119,430,303,[1,0,0,0]>')]).
% 1.29/1.71 cnf('0.433.2.0',plain,
% 1.29/1.71 ( rd(mult(X1,mult(X1,X2)),X3) = rd(X1,rd(rd(X3,X2),X1)) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.433.1.0',theory(equality)]),
% 1.29/1.71 [x,rule_433]).
% 1.29/1.71 cnf('0.767.0.0',plain,
% 1.29/1.71 ( rd(rd(X1,mult(X2,mult(X2,X3))),X4) = ld(rd(X2,rd(rd(X1,X3),X2)),ld(X4,unit)) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.216.2.0','0.433.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1','L')]).
% 1.29/1.71 cnf('0.767.0.1',plain,
% 1.29/1.71 ( rd(rd(X1,mult(X2,mult(X2,X3))),X4) = rd(rd(rd(rd(X1,X3),X2),X2),X4) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.767.0.0','0.216.2.0',theory(equality)]),
% 1.29/1.71 [pos('R','L')]).
% 1.29/1.71 cnf('0.767.0.2',plain,
% 1.29/1.71 ( rd(rd(X1,mult(X2,mult(X2,X3))),X4) = rd(rd(rd(X1,X3),mult(X2,X2)),X4) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.767.0.1','0.27.2.0',theory(equality)]),
% 1.29/1.71 [pos('R.1','L')]).
% 1.29/1.71 cnf('0.767.0.3',plain,
% 1.29/1.71 ( rd(rd(X1,mult(X2,mult(X2,X3))),X4) = rd(rd(X1,X3),mult(X4,mult(X2,X2))) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.767.0.2','0.292.2.0',theory(equality)]),
% 1.29/1.71 [pos('R','L')]).
% 1.29/1.71 cnf('0.767.1.0',plain,
% 1.29/1.71 ( rd(rd(X1,mult(X2,mult(X2,X3))),X4) = rd(rd(X1,X3),mult(X4,mult(X2,X2))) ),
% 1.29/1.71 inference(weigh,[status(thm)],['0.767.0.3']),
% 1.29/1.71 [weight('<189,433,216,[0,0,0,1]>')]).
% 1.29/1.71 cnf('0.767.2.0',plain,
% 1.29/1.71 ( rd(rd(X1,mult(X2,mult(X2,X3))),X4) = rd(rd(X1,X3),mult(X4,mult(X2,X2))) ),
% 1.29/1.71 inference(orient,[status(thm)],['0.767.1.0',theory(equality)]),
% 1.29/1.71 [u,rule_767]).
% 1.29/1.71 cnf('0.768.0.0',plain,
% 1.29/1.71 ( rd(rd(X1,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))),mult(X2,mult(op_b,op_b))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.71 inference(cp,[status(thm)],['0.767.2.0','0.208.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.1.2','L')]).
% 1.29/1.71 cnf('0.768.0.1',plain,
% 1.29/1.71 ( rd(rd(X1,mult(op_b,mult(op_b,mult(op_b,op_b)))),mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.768.0.0','0.767.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.768.0.2',plain,
% 1.29/1.71 ( rd(rd(X1,mult(op_b,op_b)),mult(mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,op_b))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.768.0.1','0.767.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.768.0.3',plain,
% 1.29/1.71 ( rd(X1,mult(mult(mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,op_b))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.768.0.2','0.292.2.0',theory(equality)]),
% 1.29/1.71 [pos('L','L')]).
% 1.29/1.71 cnf('0.768.0.4',plain,
% 1.29/1.71 ( rd(X1,mult(mult(mult(X2,mult(op_b,op_b)),mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,op_b))))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.768.0.3','0.34.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.768.0.5',plain,
% 1.29/1.71 ( rd(X1,mult(mult(X2,mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.768.0.4','0.34.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.768.0.6',plain,
% 1.29/1.71 ( rd(X1,mult(X2,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.71 inference(reduction,[status(thm)],['0.768.0.5','0.34.2.0',theory(equality)]),
% 1.29/1.71 [pos('L.2','L')]).
% 1.29/1.71 cnf('0.768.0.7',plain,
% 1.29/1.72 ( rd(X1,mult(X2,ld(op_b,unit))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.72 inference(reduction,[status(thm)],['0.768.0.6','0.208.2.0',theory(equality)]),
% 1.29/1.72 [pos('L.2.2','L')]).
% 1.29/1.72 cnf('0.768.0.8',plain,
% 1.29/1.72 ( rd(X1,rd(X2,ld(unit,op_b))) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.72 inference(reduction,[status(thm)],['0.768.0.7','0.201.2.0',theory(equality)]),
% 1.29/1.72 [pos('L.2','L')]).
% 1.29/1.72 cnf('0.768.0.9',plain,
% 1.29/1.72 ( rd(X1,rd(X2,op_b)) = rd(rd(X1,ld(op_b,unit)),X2) ),
% 1.29/1.72 inference(reduction,[status(thm)],['0.768.0.8','0.10.2.0',theory(equality)]),
% 1.29/1.72 [pos('L.2.2','L')]).
% 1.29/1.72 cnf('0.768.0.10',plain,
% 1.29/1.72 ( rd(X1,rd(X2,op_b)) = rd(mult(X1,op_b),X2) ),
% 1.29/1.72 inference(reduction,[status(thm)],['0.768.0.9','0.188.2.0',theory(equality)]),
% 1.29/1.72 [pos('R.1','L')]).
% 1.29/1.72 cnf('0.768.1.0',plain,
% 1.29/1.72 ( rd(X1,rd(X2,op_b)) = rd(mult(X1,op_b),X2) ),
% 1.29/1.72 inference(weigh,[status(thm)],['0.768.0.10']),
% 1.29/1.72 [weight('<65,767,208,[1,0,0,3]>')]).
% 1.29/1.72 cnf('0.768.2.0',plain,
% 1.29/1.72 ( rd(mult(X1,op_b),X2) = rd(X1,rd(X2,op_b)) ),
% 1.29/1.72 inference(orient,[status(thm)],['0.768.1.0',theory(equality)]),
% 1.29/1.72 [x,rule_768]).
% 1.29/1.72 cnf('0.770.0.0',plain,
% 1.29/1.72 ( rd(X1,rd(ld(X2,unit),op_b)) = mult(mult(X1,op_b),X2) ),
% 1.29/1.72 inference(cp,[status(thm)],['0.768.2.0','0.188.2.0',theory(equality)]),
% 1.29/1.72 [pos('L','L')]).
% 1.29/1.72 cnf('0.770.0.1',plain,
% 1.29/1.72 ( rd(X1,ld(X2,ld(op_b,unit))) = mult(mult(X1,op_b),X2) ),
% 1.29/1.72 inference(reduction,[status(thm)],['0.770.0.0','0.198.2.0',theory(equality)]),
% 1.29/1.72 [pos('L.2','L')]).
% 1.29/1.72 cnf('0.770.0.2',plain,
% 1.29/1.72 ( mult(X1,mult(op_b,X2)) = mult(mult(X1,op_b),X2) ),
% 1.29/1.72 inference(reduction,[status(thm)],['0.770.0.1','0.213.2.0',theory(equality)]),
% 1.29/1.72 [pos('L','L')]).
% 1.29/1.72 cnf('0.770.1.0',plain,
% 1.29/1.72 ( mult(X1,mult(op_b,X2)) = mult(mult(X1,op_b),X2) ),
% 1.29/1.72 inference(weigh,[status(thm)],['0.770.0.2']),
% 1.29/1.72 [weight('<65,768,188,[1,0,0,0]>')]).
% 1.29/1.72 cnf('0.770.2.0',plain,
% 1.29/1.72 ( mult(mult(X1,op_b),X2) = mult(X1,mult(op_b,X2)) ),
% 1.29/1.72 inference(orient,[status(thm)],['0.770.1.0',theory(equality)]),
% 1.29/1.72 [x,rule_770]).
% 1.29/1.72 cnf('1.0.0.0',conjecture,
% 1.29/1.72 ( mult(mult(op_a,op_b),a) = mult(op_a,mult(op_b,a)) ),
% 1.29/1.72 file('/tmp/WALDMEISTER_9672_n011',conjecture_1)).
% 1.29/1.72 cnf('1.0.0.1',plain,
% 1.29/1.72 ( mult(op_a,mult(op_b,a)) = mult(op_a,mult(op_b,a)) ),
% 1.29/1.72 inference(reduction,[status(thm)],['1.0.0.0','0.770.2.0',theory(equality)]),
% 1.29/1.72 [pos('L','L')]).
% 1.29/1.72 cnf('1.0.0.2',plain,
% 1.29/1.72 ( $true ),
% 1.29/1.72 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 1.29/1.72 [conjecture_1]).
% 1.29/1.72
% 1.29/1.72 Proved Goals:
% 1.29/1.72 No. 1: mult(mult(op_a,op_b),a) ?= mult(op_a,mult(op_b,a)) joined, current: mult(op_a,mult(op_b,a)) = mult(op_a,mult(op_b,a))
% 1.29/1.72 1 goal was specified, which was proved.
% 1.29/1.72 % SZS output end CNFRefutation
% 1.29/1.72 #END OF PROOF
% 1.29/1.72
% 1.29/1.72 Problem WALDMEISTER_9672_n011
% 1.29/1.72 CPs.gen 119499
% 1.29/1.72 CPs.reexp 0
% 1.29/1.72 Select 3450
% 1.29/1.72 R 770
% 1.29/1.72 E 0
% 1.29/1.72 vsize 6.8M
% 1.29/1.72 rss 4.1M
% 1.29/1.72 process.time 0.726s
% 1.29/1.72 wallclock.time 0.730s
% 1.29/1.72 status S
% 1.29/1.72
% 1.29/1.72
% 1.29/1.72 Waldmeister states: Goal proved.
% 1.29/1.72 % SZS status Unsatisfiable
%------------------------------------------------------------------------------