TSTP Solution File: GRP660-14 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:27:37 EDT 2022
% Result : Unsatisfiable 0.60s 1.03s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.14 % Command : woody %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 23:00:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.00 * |/ | \/ | *
% 0.60/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.00 * A. Jaeger and B. Loechner | | *
% 0.60/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.60/1.00
% 0.60/1.00 Goals:
% 0.60/1.00 ------
% 0.60/1.00
% 0.60/1.00 ( 1) mult(ld(x1,x1),x0) ?=? x0
% 0.60/1.00
% 0.60/1.00 Detected structure: Quasigruppe
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.60/1.03 joined goal: 1 mult(ld(x1,x1),x0) ?= x0 to x0
% 0.60/1.03 goal joined
% 0.60/1.03 % SZS status Unsatisfiable
% 0.60/1.03 #START OF PROOF
% 0.60/1.03 % SZS output start CNFRefutation
% 0.60/1.03 cnf('0.1.0.0',axiom,
% 0.60/1.03 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_2095_n021')).
% 0.60/1.03 cnf('0.1.1.0',plain,
% 0.60/1.03 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.1.2.0',plain,
% 0.60/1.03 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_1]).
% 0.60/1.03 cnf('0.2.0.0',axiom,
% 0.60/1.03 ( X1 = mult(rd(X1,X2),X2) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_2095_n021')).
% 0.60/1.03 cnf('0.2.1.0',plain,
% 0.60/1.03 ( X1 = mult(rd(X1,X2),X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.03 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.2.2.0',plain,
% 0.60/1.03 ( mult(rd(X1,X2),X2) = X1 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_2]).
% 0.60/1.03 cnf('0.3.0.0',axiom,
% 0.60/1.03 ( X1 = rd(mult(X1,X2),X2) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_2095_n021')).
% 0.60/1.03 cnf('0.3.1.0',plain,
% 0.60/1.03 ( X1 = rd(mult(X1,X2),X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.03 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.03 cnf('0.3.2.0',plain,
% 0.60/1.03 ( rd(mult(X1,X2),X2) = X1 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_3]).
% 0.60/1.03 cnf('0.4.0.0',axiom,
% 0.60/1.03 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_2095_n021')).
% 0.60/1.03 cnf('0.4.1.0',plain,
% 0.60/1.03 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/1.03 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.60/1.03 cnf('0.4.2.0',plain,
% 0.60/1.03 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_4]).
% 0.60/1.03 cnf('0.5.0.0',axiom,
% 0.60/1.03 ( mult(X1,mult(X2,mult(X3,X1))) = mult(mult(mult(X1,X2),X3),X1) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_2095_n021')).
% 0.60/1.03 cnf('0.5.1.0',plain,
% 0.60/1.03 ( mult(X1,mult(X2,mult(X3,X1))) = mult(mult(mult(X1,X2),X3),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/1.03 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.60/1.03 cnf('0.5.2.0',plain,
% 0.60/1.03 ( mult(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,mult(X3,X1))) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_5]).
% 0.60/1.03 cnf('0.6.0.0',plain,
% 0.60/1.03 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.6.1.0',plain,
% 0.60/1.03 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.03 [weight('<41,3,1,[1,0,0,1]>')]).
% 0.60/1.03 cnf('0.6.2.0',plain,
% 0.60/1.03 ( rd(X1,ld(X2,X1)) = X2 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_6]).
% 0.60/1.03 cnf('0.7.0.0',plain,
% 0.60/1.03 ( X1 = ld(rd(X2,X1),X2) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.7.1.0',plain,
% 0.60/1.03 ( X1 = ld(rd(X2,X1),X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.60/1.03 [weight('<41,4,2,[1,0,0,2]>')]).
% 0.60/1.03 cnf('0.7.2.0',plain,
% 0.60/1.03 ( ld(rd(X1,X2),X1) = X2 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_7]).
% 0.60/1.03 cnf('0.8.0.0',plain,
% 0.60/1.03 ( mult(X1,mult(ld(X1,X2),mult(X3,X1))) = mult(mult(X2,X3),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.1','L')]).
% 0.60/1.03 cnf('0.8.1.0',plain,
% 0.60/1.03 ( mult(X1,mult(ld(X1,X2),mult(X3,X1))) = mult(mult(X2,X3),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.03 [weight('<149,5,1,[1,0,0,2]>')]).
% 0.60/1.03 cnf('0.8.2.0',plain,
% 0.60/1.03 ( mult(X1,mult(ld(X1,X2),mult(X3,X1))) = mult(mult(X2,X3),X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_8]).
% 0.60/1.03 cnf('0.9.0.0',plain,
% 0.60/1.03 ( mult(mult(X1,rd(X2,X3)),X3) = mult(X3,mult(ld(X3,X1),X2)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2.2','L')]).
% 0.60/1.03 cnf('0.9.1.0',plain,
% 0.60/1.03 ( mult(mult(X1,rd(X2,X3)),X3) = mult(X3,mult(ld(X3,X1),X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.60/1.03 [weight('<119,8,2,[1,0,0,6]>')]).
% 0.60/1.03 cnf('0.9.2.0',plain,
% 0.60/1.03 ( mult(mult(X1,rd(X2,X3)),X3) = mult(X3,mult(ld(X3,X1),X2)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_9]).
% 0.60/1.03 cnf('0.11.0.0',plain,
% 0.60/1.03 ( mult(mult(X1,X2),X3) = rd(mult(X1,mult(X2,mult(X3,X1))),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.11.1.0',plain,
% 0.60/1.03 ( mult(mult(X1,X2),X3) = rd(mult(X1,mult(X2,mult(X3,X1))),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.60/1.03 [weight('<149,5,3,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.11.2.0',plain,
% 0.60/1.03 ( rd(mult(X1,mult(X2,mult(X3,X1))),X1) = mult(mult(X1,X2),X3) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_11]).
% 0.60/1.03 cnf('0.13.0.0',plain,
% 0.60/1.03 ( mult(X1,rd(X2,X3)) = rd(mult(X3,mult(ld(X3,X1),X2)),X3) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.13.1.0',plain,
% 0.60/1.03 ( mult(X1,rd(X2,X3)) = rd(mult(X3,mult(ld(X3,X1),X2)),X3) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.60/1.03 [weight('<149,9,3,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.13.2.0',plain,
% 0.60/1.03 ( rd(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(X2,rd(X3,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_13]).
% 0.60/1.03 cnf('0.14.0.0',plain,
% 0.60/1.03 ( mult(mult(X1,rd(X2,mult(X3,X1))),X3) = rd(mult(X1,X2),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.11.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.2','L')]).
% 0.60/1.03 cnf('0.14.1.0',plain,
% 0.60/1.03 ( mult(mult(X1,rd(X2,mult(X3,X1))),X3) = rd(mult(X1,X2),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.60/1.03 [weight('<149,11,2,[1,0,0,3]>')]).
% 0.60/1.03 cnf('0.14.2.0',plain,
% 0.60/1.03 ( mult(mult(X1,rd(X2,mult(X3,X1))),X3) = rd(mult(X1,X2),X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_14]).
% 0.60/1.03 cnf('0.15.0.0',plain,
% 0.60/1.03 ( mult(X1,rd(X2,mult(X3,X1))) = rd(rd(mult(X1,X2),X1),X3) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.3.2.0','0.14.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.15.1.0',plain,
% 0.60/1.03 ( mult(X1,rd(X2,mult(X3,X1))) = rd(rd(mult(X1,X2),X1),X3) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.60/1.03 [weight('<119,14,3,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.15.2.0',plain,
% 0.60/1.03 ( mult(X1,rd(X2,mult(X3,X1))) = rd(rd(mult(X1,X2),X1),X3) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_15]).
% 0.60/1.03 cnf('0.16.0.0',plain,
% 0.60/1.03 ( mult(X1,rd(ld(ld(X2,X1),X3),X2)) = rd(mult(X2,X3),X2) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.13.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.2','L')]).
% 0.60/1.03 cnf('0.16.1.0',plain,
% 0.60/1.03 ( mult(X1,rd(ld(ld(X2,X1),X3),X2)) = rd(mult(X2,X3),X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.60/1.03 [weight('<149,13,1,[1,0,0,3]>')]).
% 0.60/1.03 cnf('0.16.2.0',plain,
% 0.60/1.03 ( mult(X1,rd(ld(ld(X2,X1),X3),X2)) = rd(mult(X2,X3),X2) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_16]).
% 0.60/1.03 cnf('0.17.0.0',plain,
% 0.60/1.03 ( rd(ld(ld(X1,X2),X3),X1) = ld(X2,rd(mult(X1,X3),X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.4.2.0','0.16.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.17.1.0',plain,
% 0.60/1.03 ( rd(ld(ld(X1,X2),X3),X1) = ld(X2,rd(mult(X1,X3),X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.60/1.03 [weight('<119,16,4,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.17.2.0',plain,
% 0.60/1.03 ( rd(ld(ld(X1,X2),X3),X1) = ld(X2,rd(mult(X1,X3),X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_17]).
% 0.60/1.03 cnf('0.18.0.0',plain,
% 0.60/1.03 ( rd(rd(mult(X1,X2),X1),rd(X3,X1)) = mult(X1,rd(X2,X3)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2.2','L')]).
% 0.60/1.03 cnf('0.18.1.0',plain,
% 0.60/1.03 ( rd(rd(mult(X1,X2),X1),rd(X3,X1)) = mult(X1,rd(X2,X3)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.60/1.03 [weight('<149,15,2,[1,0,0,4]>')]).
% 0.60/1.03 cnf('0.18.2.0',plain,
% 0.60/1.03 ( rd(rd(mult(X1,X2),X1),rd(X3,X1)) = mult(X1,rd(X2,X3)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_18]).
% 0.60/1.03 cnf('0.19.0.0',plain,
% 0.60/1.03 ( mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.18.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.19.1.0',plain,
% 0.60/1.03 ( mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.60/1.03 [weight('<65,18,3,[1,0,0,1]>')]).
% 0.60/1.03 cnf('0.19.2.0',plain,
% 0.60/1.03 ( mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_19]).
% 0.60/1.03 cnf('0.20.0.0',plain,
% 0.60/1.03 ( rd(X1,X2) = ld(X1,rd(X1,rd(X2,X1))) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.4.2.0','0.19.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.20.1.0',plain,
% 0.60/1.03 ( rd(X1,X2) = ld(X1,rd(X1,rd(X2,X1))) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.60/1.03 [weight('<87,19,4,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.20.2.0',plain,
% 0.60/1.03 ( ld(X1,rd(X1,rd(X2,X1))) = rd(X1,X2) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_20]).
% 0.60/1.03 cnf('0.21.0.0',plain,
% 0.60/1.03 ( rd(X1,mult(X2,X1)) = ld(X1,rd(X1,X2)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2.2','L')]).
% 0.60/1.03 cnf('0.21.1.0',plain,
% 0.60/1.03 ( rd(X1,mult(X2,X1)) = ld(X1,rd(X1,X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.60/1.03 [weight('<65,20,3,[1,0,0,4]>')]).
% 0.60/1.03 cnf('0.21.2.0',plain,
% 0.60/1.03 ( rd(X1,mult(X2,X1)) = ld(X1,rd(X1,X2)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_21]).
% 0.60/1.03 cnf('0.22.0.0',plain,
% 0.60/1.03 ( rd(X1,rd(ld(X2,X1),X1)) = mult(X1,X2) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.19.2.0','0.6.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.22.1.0',plain,
% 0.60/1.03 ( rd(X1,rd(ld(X2,X1),X1)) = mult(X1,X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.60/1.03 [weight('<87,19,6,[1,0,0,2]>')]).
% 0.60/1.03 cnf('0.22.2.0',plain,
% 0.60/1.03 ( rd(X1,rd(ld(X2,X1),X1)) = mult(X1,X2) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_22]).
% 0.60/1.03 cnf('0.23.0.0',plain,
% 0.60/1.03 ( rd(ld(X1,X2),X2) = ld(mult(X2,X1),X2) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.7.2.0','0.22.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.23.1.0',plain,
% 0.60/1.03 ( rd(ld(X1,X2),X2) = ld(mult(X2,X1),X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.60/1.03 [weight('<65,22,7,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.23.2.0',plain,
% 0.60/1.03 ( rd(ld(X1,X2),X2) = ld(mult(X2,X1),X2) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_23]).
% 0.60/1.03 cnf('0.24.0.0',plain,
% 0.60/1.03 ( mult(X1,X2) = ld(ld(X2,rd(X2,X1)),X2) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.7.2.0','0.21.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.24.1.0',plain,
% 0.60/1.03 ( mult(X1,X2) = ld(ld(X2,rd(X2,X1)),X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.60/1.03 [weight('<87,21,7,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.24.2.0',plain,
% 0.60/1.03 ( ld(ld(X1,rd(X1,X2)),X1) = mult(X2,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_24]).
% 0.60/1.03 cnf('0.29.0.0',plain,
% 0.60/1.03 ( mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,X1),rd(X3,X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.18.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.1','L')]).
% 0.60/1.03 cnf('0.29.1.0',plain,
% 0.60/1.03 ( mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,X1),rd(X3,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.60/1.03 [weight('<119,18,1,[1,0,0,2]>')]).
% 0.60/1.03 cnf('0.29.2.0',plain,
% 0.60/1.03 ( mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,X1),rd(X3,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_29]).
% 0.60/1.03 cnf('0.34.0.0',plain,
% 0.60/1.03 ( ld(ld(X1,X2),X3) = mult(ld(X2,rd(mult(X1,X3),X1)),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.2.2.0','0.17.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.34.1.0',plain,
% 0.60/1.03 ( ld(ld(X1,X2),X3) = mult(ld(X2,rd(mult(X1,X3),X1)),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.60/1.03 [weight('<149,17,2,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.34.2.0',plain,
% 0.60/1.03 ( mult(ld(X1,rd(mult(X2,X3),X2)),X2) = ld(ld(X2,X1),X3) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_34]).
% 0.60/1.03 cnf('0.35.0.0',plain,
% 0.60/1.03 ( ld(ld(X1,X2),ld(X1,X3)) = mult(ld(X2,rd(X3,X1)),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.34.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.2.1','L')]).
% 0.60/1.03 cnf('0.35.1.0',plain,
% 0.60/1.03 ( ld(ld(X1,X2),ld(X1,X3)) = mult(ld(X2,rd(X3,X1)),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.60/1.03 [weight('<119,34,1,[1,0,0,4]>')]).
% 0.60/1.03 cnf('0.35.2.0',plain,
% 0.60/1.03 ( mult(ld(X1,rd(X2,X3)),X3) = ld(ld(X3,X1),ld(X3,X2)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_35]).
% 0.60/1.03 cnf('0.36.0.0',plain,
% 0.60/1.03 ( ld(mult(X1,X2),rd(mult(X1,X3),X1)) = rd(ld(X2,X3),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.17.2.0','0.4.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.1','L')]).
% 0.60/1.03 cnf('0.36.1.0',plain,
% 0.60/1.03 ( ld(mult(X1,X2),rd(mult(X1,X3),X1)) = rd(ld(X2,X3),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.60/1.03 [weight('<149,17,4,[1,0,0,2]>')]).
% 0.60/1.03 cnf('0.36.2.0',plain,
% 0.60/1.03 ( ld(mult(X1,X2),rd(mult(X1,X3),X1)) = rd(ld(X2,X3),X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_36]).
% 0.60/1.03 cnf('0.37.0.0',plain,
% 0.60/1.03 ( rd(ld(X1,ld(X2,X3)),X2) = ld(mult(X2,X1),rd(X3,X2)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.36.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2.1','L')]).
% 0.60/1.03 cnf('0.37.1.0',plain,
% 0.60/1.03 ( rd(ld(X1,ld(X2,X3)),X2) = ld(mult(X2,X1),rd(X3,X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.60/1.03 [weight('<119,36,1,[1,0,0,5]>')]).
% 0.60/1.03 cnf('0.37.2.0',plain,
% 0.60/1.03 ( rd(ld(X1,ld(X2,X3)),X2) = ld(mult(X2,X1),rd(X3,X2)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_37]).
% 0.60/1.03 cnf('0.45.0.0',plain,
% 0.60/1.03 ( rd(ld(X1,X2),X3) = ld(X1,rd(rd(X2,X1),rd(X3,X1))) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.4.2.0','0.29.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.45.1.0',plain,
% 0.60/1.03 ( rd(ld(X1,X2),X3) = ld(X1,rd(rd(X2,X1),rd(X3,X1))) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.60/1.03 [weight('<149,29,4,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.45.2.0',plain,
% 0.60/1.03 ( ld(X1,rd(rd(X2,X1),rd(X3,X1))) = rd(ld(X1,X2),X3) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_45]).
% 0.60/1.03 cnf('0.46.0.0',plain,
% 0.60/1.03 ( rd(ld(X1,mult(X2,X1)),X3) = ld(X1,rd(X2,rd(X3,X1))) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.45.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2.1','L')]).
% 0.60/1.03 cnf('0.46.1.0',plain,
% 0.60/1.03 ( rd(ld(X1,mult(X2,X1)),X3) = ld(X1,rd(X2,rd(X3,X1))) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.60/1.03 [weight('<119,45,3,[1,0,0,3]>')]).
% 0.60/1.03 cnf('0.46.2.0',plain,
% 0.60/1.03 ( rd(ld(X1,mult(X2,X1)),X3) = ld(X1,rd(X2,rd(X3,X1))) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_46]).
% 0.60/1.03 cnf('0.50.0.0',plain,
% 0.60/1.03 ( mult(X1,mult(X1,X2)) = ld(rd(ld(X2,X2),X1),mult(X1,X2)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.24.2.0','0.36.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.50.1.0',plain,
% 0.60/1.03 ( mult(X1,mult(X1,X2)) = ld(rd(ld(X2,X2),X1),mult(X1,X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.60/1.03 [weight('<149,36,24,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.50.2.0',plain,
% 0.60/1.03 ( ld(rd(ld(X1,X1),X2),mult(X2,X1)) = mult(X2,mult(X2,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_50]).
% 0.60/1.03 cnf('0.52.0.0',plain,
% 0.60/1.03 ( ld(X1,mult(X2,X1)) = mult(ld(X1,rd(X2,rd(X3,X1))),X3) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.2.2.0','0.46.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.52.1.0',plain,
% 0.60/1.03 ( ld(X1,mult(X2,X1)) = mult(ld(X1,rd(X2,rd(X3,X1))),X3) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.60/1.03 [weight('<149,46,2,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.52.2.0',plain,
% 0.60/1.03 ( mult(ld(X1,rd(X2,rd(X3,X1))),X3) = ld(X1,mult(X2,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_52]).
% 0.60/1.03 cnf('0.54.0.0',plain,
% 0.60/1.03 ( mult(rd(X1,X2),mult(rd(X1,X2),X2)) = ld(rd(ld(X2,X2),rd(X1,X2)),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.50.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.54.0.1',plain,
% 0.60/1.03 ( mult(rd(X1,X2),X1) = ld(rd(ld(X2,X2),rd(X1,X2)),X1) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.54.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.54.1.0',plain,
% 0.60/1.03 ( mult(rd(X1,X2),X1) = ld(rd(ld(X2,X2),rd(X1,X2)),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.60/1.03 [weight('<149,50,2,[1,0,0,6]>')]).
% 0.60/1.03 cnf('0.54.2.0',plain,
% 0.60/1.03 ( ld(rd(ld(X1,X1),rd(X2,X1)),X2) = mult(rd(X2,X1),X2) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_54]).
% 0.60/1.03 cnf('0.57.0.0',plain,
% 0.60/1.03 ( mult(rd(ld(X1,X1),X1),ld(X1,X1)) = rd(ld(X1,X1),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.54.2.0','0.7.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('0.57.0.1',plain,
% 0.60/1.03 ( mult(ld(mult(X1,X1),X1),ld(X1,X1)) = rd(ld(X1,X1),X1) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.57.0.0','0.23.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.57.0.2',plain,
% 0.60/1.03 ( mult(ld(mult(X1,X1),X1),ld(X1,X1)) = ld(mult(X1,X1),X1) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.57.0.1','0.23.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.57.1.0',plain,
% 0.60/1.03 ( mult(ld(mult(X1,X1),X1),ld(X1,X1)) = ld(mult(X1,X1),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.57.0.2']),
% 0.60/1.03 [weight('<149,54,7,[1,0,0,0]>')]).
% 0.60/1.03 cnf('0.57.2.0',plain,
% 0.60/1.03 ( mult(ld(mult(X1,X1),X1),ld(X1,X1)) = ld(mult(X1,X1),X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_57]).
% 0.60/1.03 cnf('0.58.0.0',plain,
% 0.60/1.03 ( mult(X1,rd(ld(X1,X1),mult(X1,X1))) = rd(mult(mult(X1,X1),ld(mult(X1,X1),X1)),mult(X1,X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.13.2.0','0.57.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.2','L')]).
% 0.60/1.03 cnf('0.58.0.1',plain,
% 0.60/1.03 ( rd(rd(X1,X1),rd(mult(X1,X1),X1)) = rd(mult(mult(X1,X1),ld(mult(X1,X1),X1)),mult(X1,X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.58.0.0','0.29.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('0.58.0.2',plain,
% 0.60/1.03 ( rd(rd(X1,X1),X1) = rd(mult(mult(X1,X1),ld(mult(X1,X1),X1)),mult(X1,X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.58.0.1','0.3.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.58.0.3',plain,
% 0.60/1.03 ( rd(rd(X1,X1),X1) = rd(X1,mult(X1,X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.58.0.2','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('R.1','L')]).
% 0.60/1.03 cnf('0.58.0.4',plain,
% 0.60/1.03 ( rd(rd(X1,X1),X1) = ld(X1,rd(X1,X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.58.0.3','0.21.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.58.1.0',plain,
% 0.60/1.03 ( rd(rd(X1,X1),X1) = ld(X1,rd(X1,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.58.0.4']),
% 0.60/1.03 [weight('<65,57,13,[0,0,0,3]>')]).
% 0.60/1.03 cnf('0.58.2.0',plain,
% 0.60/1.03 ( rd(rd(X1,X1),X1) = ld(X1,rd(X1,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_58]).
% 0.60/1.03 cnf('0.59.0.0',plain,
% 0.60/1.03 ( rd(X1,X1) = mult(ld(X1,rd(X1,X1)),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.2.2.0','0.58.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.59.0.1',plain,
% 0.60/1.03 ( rd(X1,X1) = ld(ld(X1,X1),ld(X1,X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.59.0.0','0.35.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.59.1.0',plain,
% 0.60/1.03 ( rd(X1,X1) = ld(ld(X1,X1),ld(X1,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.59.0.1']),
% 0.60/1.03 [weight('<87,58,2,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.59.2.0',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(X1,X1)) = rd(X1,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_59]).
% 0.60/1.03 cnf('0.61.0.0',plain,
% 0.60/1.03 ( ld(X1,X1) = rd(ld(X1,X1),rd(X1,X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.6.2.0','0.59.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.61.1.0',plain,
% 0.60/1.03 ( ld(X1,X1) = rd(ld(X1,X1),rd(X1,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.60/1.03 [weight('<87,59,6,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.61.2.0',plain,
% 0.60/1.03 ( rd(ld(X1,X1),rd(X1,X1)) = ld(X1,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_61]).
% 0.60/1.03 cnf('0.62.0.0',plain,
% 0.60/1.03 ( mult(rd(X1,X1),mult(rd(X1,X1),X1)) = ld(ld(X1,X1),mult(rd(X1,X1),X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.50.2.0','0.61.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.62.0.1',plain,
% 0.60/1.03 ( mult(rd(X1,X1),X1) = ld(ld(X1,X1),mult(rd(X1,X1),X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.62.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.62.0.2',plain,
% 0.60/1.03 ( X1 = ld(ld(X1,X1),mult(rd(X1,X1),X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.62.0.1','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('0.62.0.3',plain,
% 0.60/1.03 ( X1 = ld(ld(X1,X1),X1) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.62.0.2','0.2.2.0',theory(equality)]),
% 0.60/1.03 [pos('R.2','L')]).
% 0.60/1.03 cnf('0.62.1.0',plain,
% 0.60/1.03 ( X1 = ld(ld(X1,X1),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.62.0.3']),
% 0.60/1.03 [weight('<41,61,50,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.62.2.0',plain,
% 0.60/1.03 ( ld(ld(X1,X1),X1) = X1 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_62]).
% 0.60/1.03 cnf('0.63.0.0',plain,
% 0.60/1.03 ( ld(X1,X1) = rd(X1,X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.6.2.0','0.62.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.63.1.0',plain,
% 0.60/1.03 ( ld(X1,X1) = rd(X1,X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.60/1.03 [weight('<27,62,6,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.63.2.0',plain,
% 0.60/1.03 ( rd(X1,X1) = ld(X1,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_63]).
% 0.60/1.03 cnf('0.65.0.0',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(X1,X1)) = rd(X1,X1) ),
% 0.60/1.03 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 0.60/1.03 cnf('0.65.0.1',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.65.0.0','0.63.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.65.1.0',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.65.0.1']),
% 0.60/1.03 [weight('<87,59,63,[0,0,0,0]>')]).
% 0.60/1.03 cnf('0.65.2.0',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_65]).
% 0.60/1.03 cnf('0.79.0.0',plain,
% 0.60/1.03 ( ld(mult(ld(X1,X1),X2),rd(X1,ld(X1,X1))) = rd(ld(X2,X1),ld(X1,X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.37.2.0','0.62.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.2','L')]).
% 0.60/1.03 cnf('0.79.0.1',plain,
% 0.60/1.03 ( ld(mult(ld(X1,X1),X2),X1) = rd(ld(X2,X1),ld(X1,X1)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.79.0.0','0.6.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.79.1.0',plain,
% 0.60/1.03 ( ld(mult(ld(X1,X1),X2),X1) = rd(ld(X2,X1),ld(X1,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.79.0.1']),
% 0.60/1.03 [weight('<119,62,37,[0,0,0,3]>')]).
% 0.60/1.03 cnf('0.79.2.0',plain,
% 0.60/1.03 ( rd(ld(X1,X2),ld(X2,X2)) = ld(mult(ld(X2,X2),X1),X2) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_79]).
% 0.60/1.03 cnf('0.110.0.0',plain,
% 0.60/1.03 ( ld(X1,mult(X2,X1)) = mult(ld(X1,rd(X2,ld(X1,X1))),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.52.2.0','0.63.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.2.2','L')]).
% 0.60/1.03 cnf('0.110.1.0',plain,
% 0.60/1.03 ( ld(X1,mult(X2,X1)) = mult(ld(X1,rd(X2,ld(X1,X1))),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.110.0.0']),
% 0.60/1.03 [weight('<149,63,52,[0,0,0,5]>')]).
% 0.60/1.03 cnf('0.110.2.0',plain,
% 0.60/1.03 ( mult(ld(X1,rd(X2,ld(X1,X1))),X1) = ld(X1,mult(X2,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_110]).
% 0.60/1.03 cnf('0.111.0.0',plain,
% 0.60/1.03 ( ld(ld(X1,X1),mult(X2,ld(X1,X1))) = mult(ld(ld(X1,X1),rd(X2,ld(X1,X1))),ld(X1,X1)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.110.2.0','0.65.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.2.2','L')]).
% 0.60/1.03 cnf('0.111.0.1',plain,
% 0.60/1.03 ( ld(ld(X1,X1),mult(X2,ld(X1,X1))) = ld(ld(ld(X1,X1),ld(X1,X1)),ld(ld(X1,X1),X2)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.111.0.0','0.35.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.111.0.2',plain,
% 0.60/1.03 ( ld(ld(X1,X1),mult(X2,ld(X1,X1))) = ld(ld(X1,X1),ld(ld(X1,X1),X2)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.111.0.1','0.65.2.0',theory(equality)]),
% 0.60/1.03 [pos('R.1','L')]).
% 0.60/1.03 cnf('0.111.1.0',plain,
% 0.60/1.03 ( mult(X2,ld(X1,X1)) = ld(ld(X1,X1),X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.111.0.2']),
% 0.60/1.03 [weight('<65,110,65,[1,0,0,5]>')]).
% 0.60/1.03 cnf('0.111.2.0',plain,
% 0.60/1.03 ( mult(X1,ld(X2,X2)) = ld(ld(X2,X2),X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_111]).
% 0.60/1.03 cnf('0.112.0.0',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(ld(X1,X1),rd(X2,ld(ld(X1,X1),ld(X1,X1))))) = ld(ld(X1,X1),mult(X2,ld(X1,X1))) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.111.2.0','0.110.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('0.112.0.1',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(ld(X1,X1),rd(X2,ld(X1,X1)))) = ld(ld(X1,X1),mult(X2,ld(X1,X1))) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.112.0.0','0.65.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2.2.2','L')]).
% 0.60/1.03 cnf('0.112.0.2',plain,
% 0.60/1.03 ( ld(ld(X1,X1),ld(ld(X1,X1),rd(X2,ld(X1,X1)))) = ld(ld(X1,X1),ld(ld(X1,X1),X2)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.112.0.1','0.111.2.0',theory(equality)]),
% 0.60/1.03 [pos('R.2','L')]).
% 0.60/1.03 cnf('0.112.1.0',plain,
% 0.60/1.03 ( rd(X2,ld(X1,X1)) = X2 ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.112.0.2']),
% 0.60/1.03 [weight('<41,111,110,[1,0,0,0]>')]).
% 0.60/1.03 cnf('0.112.2.0',plain,
% 0.60/1.03 ( rd(X1,ld(X2,X2)) = X1 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_112]).
% 0.60/1.03 cnf('0.113.0.0',plain,
% 0.60/1.03 ( rd(ld(X1,X2),ld(X2,X2)) = ld(mult(ld(X2,X2),X1),X2) ),
% 0.60/1.03 inference(interreduction_right,[status(thm)],['0.79.2.0'])).
% 0.60/1.03 cnf('0.113.0.1',plain,
% 0.60/1.03 ( ld(X1,X2) = ld(mult(ld(X2,X2),X1),X2) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.113.0.0','0.112.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('0.113.1.0',plain,
% 0.60/1.03 ( X1 = mult(ld(X2,X2),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.113.0.1']),
% 0.60/1.03 [weight('<41,79,112,[0,0,0,0]>')]).
% 0.60/1.03 cnf('0.113.2.0',plain,
% 0.60/1.03 ( mult(ld(X1,X1),X2) = X2 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_113]).
% 0.60/1.03 cnf('1.0.0.0',conjecture,
% 0.60/1.03 ( mult(ld(x1,x1),x0) = x0 ),
% 0.60/1.03 file('/tmp/WALDMEISTER_2095_n021',conjecture_1)).
% 0.60/1.03 cnf('1.0.0.1',plain,
% 0.60/1.03 ( x0 = x0 ),
% 0.60/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.113.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('1.0.0.2',plain,
% 0.60/1.03 ( $true ),
% 0.60/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/1.03 [conjecture_1]).
% 0.60/1.03
% 0.60/1.03 Proved Goals:
% 0.60/1.03 No. 1: mult(ld(x1,x1),x0) ?= x0 joined, current: x0 = x0
% 0.60/1.03 1 goal was specified, which was proved.
% 0.60/1.03 % SZS output end CNFRefutation
% 0.60/1.03 #END OF PROOF
% 0.60/1.03
% 0.60/1.03 Problem WALDMEISTER_2095_n021
% 0.60/1.03 CPs.gen 3697
% 0.60/1.03 CPs.reexp 0
% 0.60/1.03 Select 166
% 0.60/1.03 R 113
% 0.60/1.03 E 0
% 0.60/1.03 vsize 6.4M
% 0.60/1.03 rss 3.8M
% 0.60/1.03 process.time 0.026s
% 0.60/1.03 wallclock.time 0.026s
% 0.60/1.03 status S
% 0.60/1.03
% 0.60/1.03
% 0.60/1.03 Waldmeister states: Goal proved.
% 0.60/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------