%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 12:27:53 EDT 2022
% Result : Unsatisfiable 0.56s 1.01s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP686-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 18:44:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.97 * |/ | \/ | *
% 0.56/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.97 * A. Jaeger and B. Loechner | | *
% 0.56/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Goals:
% 0.56/0.97 ------
% 0.56/0.97
% 0.56/0.97 ( 1) mult(mult(a,mult(a,b)),c) ?=? mult(mult(a,a),mult(b,c))
% 0.56/0.97
% 0.56/0.97 Detected structure: Loop
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/1.01 joined goal: 1 mult(mult(a,mult(a,b)),c) ?= mult(mult(a,a),mult(b,c)) to mult(a,mult(a,mult(b,c)))
% 0.56/1.01 goal joined
% 0.56/1.01 % SZS status Unsatisfiable
% 0.56/1.01 #START OF PROOF
% 0.56/1.01 % SZS output start CNFRefutation
% 0.56/1.01 cnf('0.1.0.0',axiom,
% 0.56/1.01 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.56/1.01 file('/tmp/WALDMEISTER_2489_n008')).
% 0.56/1.01 cnf('0.1.1.0',plain,
% 0.56/1.01 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/1.01 cnf('0.1.2.0',plain,
% 0.56/1.01 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_1]).
% 0.56/1.01 cnf('0.2.0.0',axiom,
% 0.56/1.01 ( X1 = mult(X1,unit) ),
% 0.56/1.01 file('/tmp/WALDMEISTER_2489_n008')).
% 0.56/1.01 cnf('0.2.1.0',plain,
% 0.56/1.01 ( X1 = mult(X1,unit) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/1.01 cnf('0.2.2.0',plain,
% 0.56/1.01 ( mult(X1,unit) = X1 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_2]).
% 0.56/1.01 cnf('0.3.0.0',axiom,
% 0.56/1.01 ( X1 = mult(unit,X1) ),
% 0.56/1.01 file('/tmp/WALDMEISTER_2489_n008')).
% 0.56/1.01 cnf('0.3.1.0',plain,
% 0.56/1.01 ( X1 = mult(unit,X1) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.56/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.56/1.01 cnf('0.3.2.0',plain,
% 0.56/1.01 ( mult(unit,X1) = X1 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_3]).
% 0.56/1.01 cnf('0.4.0.0',axiom,
% 0.56/1.01 ( X1 = mult(rd(X1,X2),X2) ),
% 0.56/1.01 file('/tmp/WALDMEISTER_2489_n008')).
% 0.56/1.01 cnf('0.4.1.0',plain,
% 0.56/1.01 ( X1 = mult(rd(X1,X2),X2) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.56/1.01 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.56/1.01 cnf('0.4.2.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),X2) = X1 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_4]).
% 0.56/1.01 cnf('0.5.0.0',axiom,
% 0.56/1.01 ( X1 = rd(mult(X1,X2),X2) ),
% 0.56/1.01 file('/tmp/WALDMEISTER_2489_n008')).
% 0.56/1.01 cnf('0.5.1.0',plain,
% 0.56/1.01 ( X1 = rd(mult(X1,X2),X2) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/1.01 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.56/1.01 cnf('0.5.2.0',plain,
% 0.56/1.01 ( rd(mult(X1,X2),X2) = X1 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_5]).
% 0.56/1.01 cnf('0.6.0.0',axiom,
% 0.56/1.01 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.56/1.01 file('/tmp/WALDMEISTER_2489_n008')).
% 0.56/1.01 cnf('0.6.1.0',plain,
% 0.56/1.01 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.56/1.01 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.56/1.01 cnf('0.6.2.0',plain,
% 0.56/1.01 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_6]).
% 0.56/1.01 cnf('0.7.0.0',axiom,
% 0.56/1.01 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(X1,mult(X2,X2)),X3) ),
% 0.56/1.01 file('/tmp/WALDMEISTER_2489_n008')).
% 0.56/1.01 cnf('0.7.1.0',plain,
% 0.56/1.01 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(X1,mult(X2,X2)),X3) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/1.01 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.56/1.01 cnf('0.7.2.0',plain,
% 0.56/1.01 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_7]).
% 0.56/1.01 cnf('0.11.0.0',plain,
% 0.56/1.01 ( unit = ld(X1,X1) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.2','L')]).
% 0.56/1.01 cnf('0.11.1.0',plain,
% 0.56/1.01 ( unit = ld(X1,X1) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.56/1.01 [weight('<19,6,2,[1,0,0,2]>')]).
% 0.56/1.01 cnf('0.11.2.0',plain,
% 0.56/1.01 ( ld(X1,X1) = unit ),
% 0.56/1.01 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_11]).
% 0.56/1.01 cnf('0.12.0.0',plain,
% 0.56/1.01 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.12.1.0',plain,
% 0.56/1.01 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.56/1.01 [weight('<41,5,1,[1,0,0,1]>')]).
% 0.56/1.01 cnf('0.12.2.0',plain,
% 0.56/1.01 ( rd(X1,ld(X2,X1)) = X2 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_12]).
% 0.56/1.01 cnf('0.13.0.0',plain,
% 0.56/1.01 ( X1 = ld(rd(X2,X1),X2) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.2','L')]).
% 0.56/1.01 cnf('0.13.1.0',plain,
% 0.56/1.01 ( X1 = ld(rd(X2,X1),X2) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.56/1.01 [weight('<41,6,4,[1,0,0,2]>')]).
% 0.56/1.01 cnf('0.13.2.0',plain,
% 0.56/1.01 ( ld(rd(X1,X2),X1) = X2 ),
% 0.56/1.01 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_13]).
% 0.56/1.01 cnf('0.14.0.0',plain,
% 0.56/1.01 ( mult(unit,mult(X1,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.14.0.1',plain,
% 0.56/1.01 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.56/1.01 inference(reduction,[status(thm)],['0.14.0.0','0.3.2.0',theory(equality)]),
% 0.56/1.01 [pos('L','L')]).
% 0.56/1.01 cnf('0.14.1.0',plain,
% 0.56/1.01 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.56/1.01 [weight('<65,7,3,[1,0,0,1]>')]).
% 0.56/1.01 cnf('0.14.2.0',plain,
% 0.56/1.01 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_14]).
% 0.56/1.01 cnf('0.15.0.0',plain,
% 0.56/1.01 ( mult(X1,X1) = rd(mult(X1,mult(X1,X2)),X2) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.5.2.0','0.14.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.15.1.0',plain,
% 0.56/1.01 ( mult(X1,X1) = rd(mult(X1,mult(X1,X2)),X2) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.56/1.01 [weight('<87,14,5,[0,0,0,1]>')]).
% 0.56/1.01 cnf('0.15.2.0',plain,
% 0.56/1.01 ( rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_15]).
% 0.56/1.01 cnf('0.16.0.0',plain,
% 0.56/1.01 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.15.2.0','0.1.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1.2','L')]).
% 0.56/1.01 cnf('0.16.1.0',plain,
% 0.56/1.01 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.56/1.01 [weight('<87,15,1,[1,0,0,3]>')]).
% 0.56/1.01 cnf('0.16.2.0',plain,
% 0.56/1.01 ( rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_16]).
% 0.56/1.01 cnf('0.22.0.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),rd(X1,X2)) = rd(mult(rd(X1,X2),X1),X2) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.15.2.0','0.4.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1.2','L')]).
% 0.56/1.01 cnf('0.22.1.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),rd(X1,X2)) = rd(mult(rd(X1,X2),X1),X2) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.56/1.01 [weight('<119,15,4,[1,0,0,3]>')]).
% 0.56/1.01 cnf('0.22.2.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),rd(X1,X2)) = rd(mult(rd(X1,X2),X1),X2) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.56/1.01 [u,rule_22]).
% 0.56/1.01 cnf('0.23.0.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),rd(X1,X2)) = rd(X1,ld(rd(X1,X2),X2)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.16.2.0','0.4.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.23.1.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),rd(X1,X2)) = rd(X1,ld(rd(X1,X2),X2)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.56/1.01 [weight('<119,16,4,[1,0,0,1]>')]).
% 0.56/1.01 cnf('0.23.1.1',plain,
% 0.56/1.01 ( rd(mult(rd(X1,X2),X1),X2) = rd(X1,ld(rd(X1,X2),X2)) ),
% 0.56/1.01 inference(reduction,[status(thm)],['0.23.1.0','0.22.2.0',theory(equality)]),
% 0.56/1.01 [pos('L','L')]).
% 0.56/1.01 cnf('0.23.2.0',plain,
% 0.56/1.01 ( rd(mult(rd(X1,X2),X1),X2) = rd(X1,ld(rd(X1,X2),X2)) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.23.1.1',theory(equality)]),
% 0.56/1.01 [u,rule_23]).
% 0.56/1.01 cnf('0.24.0.0',plain,
% 0.56/1.01 ( rd(unit,ld(rd(unit,X1),X1)) = rd(rd(unit,X1),X1) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.23.2.0','0.2.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.24.1.0',plain,
% 0.56/1.01 ( rd(unit,ld(rd(unit,X1),X1)) = rd(rd(unit,X1),X1) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.56/1.01 [weight('<103,23,2,[1,0,0,1]>')]).
% 0.56/1.01 cnf('0.24.2.0',plain,
% 0.56/1.01 ( rd(unit,ld(rd(unit,X1),X1)) = rd(rd(unit,X1),X1) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.56/1.01 [u,rule_24]).
% 0.56/1.01 cnf('0.27.0.0',plain,
% 0.56/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,mult(X2,X3))),X3) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.5.2.0','0.7.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.27.1.0',plain,
% 0.56/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,mult(X2,X3))),X3) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.56/1.01 [weight('<149,7,5,[0,0,0,1]>')]).
% 0.56/1.01 cnf('0.27.2.0',plain,
% 0.56/1.01 ( rd(mult(X1,mult(X2,mult(X2,X3))),X3) = mult(X1,mult(X2,X2)) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_27]).
% 0.56/1.01 cnf('0.29.0.0',plain,
% 0.56/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,X3)),ld(X2,X3)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.27.2.0','0.1.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1.2.2','L')]).
% 0.56/1.01 cnf('0.29.1.0',plain,
% 0.56/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,X3)),ld(X2,X3)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.56/1.01 [weight('<149,27,1,[1,0,0,5]>')]).
% 0.56/1.01 cnf('0.29.2.0',plain,
% 0.56/1.01 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = mult(X1,mult(X2,X2)) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_29]).
% 0.56/1.01 cnf('0.30.0.0',plain,
% 0.56/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,X2),ld(X2,unit)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1.2','L')]).
% 0.56/1.01 cnf('0.30.1.0',plain,
% 0.56/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,X2),ld(X2,unit)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.56/1.01 [weight('<103,29,2,[1,0,0,3]>')]).
% 0.56/1.01 cnf('0.30.2.0',plain,
% 0.56/1.01 ( rd(mult(X1,X2),ld(X2,unit)) = mult(X1,mult(X2,X2)) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_30]).
% 0.56/1.01 cnf('0.31.0.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),mult(X2,X2)) = rd(X1,ld(X2,unit)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.30.2.0','0.4.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.31.1.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),mult(X2,X2)) = rd(X1,ld(X2,unit)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.56/1.01 [weight('<103,30,4,[1,0,0,1]>')]).
% 0.56/1.01 cnf('0.31.2.0',plain,
% 0.56/1.01 ( mult(rd(X1,X2),mult(X2,X2)) = rd(X1,ld(X2,unit)) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.56/1.01 [u,rule_31]).
% 0.56/1.01 cnf('0.33.0.0',plain,
% 0.56/1.01 ( ld(X1,unit) = ld(mult(X2,mult(X1,X1)),mult(X2,X1)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.13.2.0','0.30.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.33.1.0',plain,
% 0.56/1.01 ( ld(X1,unit) = ld(mult(X2,mult(X1,X1)),mult(X2,X1)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.56/1.01 [weight('<129,30,13,[0,0,0,1]>')]).
% 0.56/1.01 cnf('0.33.2.0',plain,
% 0.56/1.01 ( ld(mult(X1,mult(X2,X2)),mult(X1,X2)) = ld(X2,unit) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_33]).
% 0.56/1.01 cnf('0.34.0.0',plain,
% 0.56/1.01 ( rd(X1,X2) = rd(rd(X1,ld(X2,unit)),mult(X2,X2)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.5.2.0','0.31.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.34.1.0',plain,
% 0.56/1.01 ( rd(X1,X2) = rd(rd(X1,ld(X2,unit)),mult(X2,X2)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.56/1.01 [weight('<129,31,5,[0,0,0,1]>')]).
% 0.56/1.01 cnf('0.34.2.0',plain,
% 0.56/1.01 ( rd(rd(X1,ld(X2,unit)),mult(X2,X2)) = rd(X1,X2) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_34]).
% 0.56/1.01 cnf('0.35.0.0',plain,
% 0.56/1.01 ( rd(unit,X1) = rd(X1,mult(X1,X1)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.34.2.0','0.12.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.35.1.0',plain,
% 0.56/1.01 ( rd(unit,X1) = rd(X1,mult(X1,X1)) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.56/1.01 [weight('<53,34,12,[1,0,0,1]>')]).
% 0.56/1.01 cnf('0.35.2.0',plain,
% 0.56/1.01 ( rd(X1,mult(X1,X1)) = rd(unit,X1) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_35]).
% 0.56/1.01 cnf('0.36.0.0',plain,
% 0.56/1.01 ( mult(X1,X1) = ld(rd(unit,X1),X1) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.13.2.0','0.35.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.36.1.0',plain,
% 0.56/1.01 ( mult(X1,X1) = ld(rd(unit,X1),X1) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.56/1.01 [weight('<53,35,13,[0,0,0,1]>')]).
% 0.56/1.01 cnf('0.36.2.0',plain,
% 0.56/1.01 ( ld(rd(unit,X1),X1) = mult(X1,X1) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_36]).
% 0.56/1.01 cnf('0.37.0.0',plain,
% 0.56/1.01 ( rd(unit,ld(rd(unit,X1),X1)) = rd(rd(unit,X1),X1) ),
% 0.56/1.01 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 0.56/1.01 cnf('0.37.0.1',plain,
% 0.56/1.01 ( rd(unit,mult(X1,X1)) = rd(rd(unit,X1),X1) ),
% 0.56/1.01 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.2','L')]).
% 0.56/1.01 cnf('0.37.1.0',plain,
% 0.56/1.01 ( rd(unit,mult(X1,X1)) = rd(rd(unit,X1),X1) ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.56/1.01 [weight('<65,24,36,[0,0,0,0]>')]).
% 0.56/1.01 cnf('0.37.2.0',plain,
% 0.56/1.01 ( rd(rd(unit,X1),X1) = rd(unit,mult(X1,X1)) ),
% 0.56/1.01 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.56/1.01 [x,rule_37]).
% 0.56/1.01 cnf('0.39.0.0',plain,
% 0.56/1.01 ( rd(rd(unit,X1),ld(X1,unit)) = mult(rd(unit,mult(X1,X1)),mult(X1,X1)) ),
% 0.56/1.01 inference(cp,[status(thm)],['0.31.2.0','0.37.2.0',theory(equality)]),
% 0.56/1.01 [pos('L.1','L')]).
% 0.56/1.01 cnf('0.39.0.1',plain,
% 0.56/1.01 ( rd(rd(unit,X1),ld(X1,unit)) = unit ),
% 0.56/1.01 inference(reduction,[status(thm)],['0.39.0.0','0.4.2.0',theory(equality)]),
% 0.56/1.01 [pos('R','L')]).
% 0.56/1.01 cnf('0.39.1.0',plain,
% 0.56/1.01 ( rd(rd(unit,X1),ld(X1,unit)) = unit ),
% 0.56/1.01 inference(weigh,[status(thm)],['0.39.0.1']),
% 0.56/1.01 [weight('<71,37,31,[0,0,0,1]>')]).
% 0.56/1.01 cnf('0.39.2.0',plain,
% 0.61/1.01 ( rd(rd(unit,X1),ld(X1,unit)) = unit ),
% 0.61/1.01 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_39]).
% 0.61/1.01 cnf('0.40.0.0',plain,
% 0.61/1.01 ( rd(unit,X1) = mult(unit,ld(X1,unit)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.39.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.40.0.1',plain,
% 0.61/1.01 ( rd(unit,X1) = ld(X1,unit) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.40.0.0','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.40.1.0',plain,
% 0.61/1.01 ( rd(unit,X1) = ld(X1,unit) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.61/1.01 [weight('<27,39,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.40.2.0',plain,
% 0.61/1.01 ( rd(unit,X1) = ld(X1,unit) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_40]).
% 0.61/1.01 cnf('0.41.0.0',plain,
% 0.61/1.01 ( unit = mult(ld(X1,unit),X1) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.40.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.41.1.0',plain,
% 0.61/1.01 ( unit = mult(ld(X1,unit),X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.61/1.01 [weight('<41,40,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.41.2.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),X1) = unit ),
% 0.61/1.01 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_41]).
% 0.61/1.01 cnf('0.46.0.0',plain,
% 0.61/1.01 ( ld(X1,unit) = ld(mult(ld(X1,unit),mult(X1,X1)),unit) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.33.2.0','0.41.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.46.1.0',plain,
% 0.61/1.01 ( X1 = mult(ld(X1,unit),mult(X1,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.61/1.01 [weight('<71,41,33,[0,0,0,6]>')]).
% 0.61/1.01 cnf('0.46.2.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),mult(X1,X1)) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_46]).
% 0.61/1.01 cnf('0.61.0.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.7.2.0','0.46.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.61.1.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.61/1.01 [weight('<129,46,7,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.61.2.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_61]).
% 0.61/1.01 cnf('0.62.0.0',plain,
% 0.61/1.01 ( mult(X1,ld(X1,X2)) = mult(ld(X1,unit),mult(X1,X2)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.61.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2','L')]).
% 0.61/1.01 cnf('0.62.0.1',plain,
% 0.61/1.01 ( X2 = mult(ld(X1,unit),mult(X1,X2)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.62.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.62.1.0',plain,
% 0.61/1.01 ( X2 = mult(ld(X1,unit),mult(X1,X2)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.61/1.01 [weight('<71,61,1,[1,0,0,6]>')]).
% 0.61/1.01 cnf('0.62.2.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),mult(X1,X2)) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_62]).
% 0.61/1.01 cnf('0.63.0.0',plain,
% 0.61/1.01 ( ld(X1,X2) = mult(ld(X1,unit),X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.62.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.63.1.0',plain,
% 0.61/1.01 ( ld(X1,X2) = mult(ld(X1,unit),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.61/1.01 [weight('<53,62,1,[1,0,0,4]>')]).
% 0.61/1.01 cnf('0.63.2.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_63]).
% 0.61/1.01 cnf('0.65.0.0',plain,
% 0.61/1.01 ( ld(rd(unit,X1),X2) = mult(X1,X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.63.2.0','0.13.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.65.0.1',plain,
% 0.61/1.01 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.65.0.0','0.40.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.65.1.0',plain,
% 0.61/1.01 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.65.0.1']),
% 0.61/1.01 [weight('<53,63,13,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.65.2.0',plain,
% 0.61/1.01 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_65]).
% 0.61/1.01 cnf('0.96.0.0',plain,
% 0.61/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,X3),ld(X2,ld(X2,X3))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.29.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2','L')]).
% 0.61/1.01 cnf('0.96.1.0',plain,
% 0.61/1.01 ( mult(X1,mult(X2,X2)) = rd(mult(X1,X3),ld(X2,ld(X2,X3))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.96.0.0']),
% 0.61/1.01 [weight('<149,29,1,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.96.2.0',plain,
% 0.61/1.01 ( rd(mult(X1,X2),ld(X3,ld(X3,X2))) = mult(X1,mult(X3,X3)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_96]).
% 0.61/1.01 cnf('0.99.0.0',plain,
% 0.61/1.01 ( mult(ld(X1,unit),mult(X2,X2)) = rd(ld(X1,mult(X2,mult(X2,X3))),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.27.2.0','0.63.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.99.0.1',plain,
% 0.61/1.01 ( ld(X1,mult(X2,X2)) = rd(ld(X1,mult(X2,mult(X2,X3))),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.99.0.0','0.63.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.99.1.0',plain,
% 0.61/1.01 ( ld(X1,mult(X2,X2)) = rd(ld(X1,mult(X2,mult(X2,X3))),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.99.0.1']),
% 0.61/1.01 [weight('<149,63,27,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.99.2.0',plain,
% 0.61/1.01 ( rd(ld(X1,mult(X2,mult(X2,X3))),X3) = ld(X1,mult(X2,X2)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_99]).
% 0.61/1.01 cnf('0.100.0.0',plain,
% 0.61/1.01 ( ld(mult(X1,mult(X1,X2)),mult(X1,X1)) = rd(unit,X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.99.2.0','0.11.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.100.0.1',plain,
% 0.61/1.01 ( ld(mult(X1,mult(X1,X2)),mult(X1,X1)) = ld(X2,unit) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.100.0.0','0.40.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.100.1.0',plain,
% 0.61/1.01 ( ld(mult(X1,mult(X1,X2)),mult(X1,X1)) = ld(X2,unit) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.100.0.1']),
% 0.61/1.01 [weight('<129,99,11,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.100.2.0',plain,
% 0.61/1.01 ( ld(mult(X1,mult(X1,X2)),mult(X1,X1)) = ld(X2,unit) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_100]).
% 0.61/1.01 cnf('0.101.0.0',plain,
% 0.61/1.01 ( ld(ld(X1,X2),unit) = ld(mult(X1,X2),mult(X1,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.100.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2','L')]).
% 0.61/1.01 cnf('0.101.1.0',plain,
% 0.61/1.01 ( ld(ld(X1,X2),unit) = ld(mult(X1,X2),mult(X1,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.61/1.01 [weight('<103,100,1,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.101.2.0',plain,
% 0.61/1.01 ( ld(mult(X1,X2),mult(X1,X1)) = ld(ld(X1,X2),unit) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_101]).
% 0.61/1.01 cnf('0.102.0.0',plain,
% 0.61/1.01 ( ld(ld(X1,ld(X1,X2)),unit) = ld(X2,mult(X1,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.101.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.102.1.0',plain,
% 0.61/1.01 ( ld(ld(X1,ld(X1,X2)),unit) = ld(X2,mult(X1,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.102.0.0']),
% 0.61/1.01 [weight('<103,101,1,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.102.2.0',plain,
% 0.61/1.01 ( ld(ld(X1,ld(X1,X2)),unit) = ld(X2,mult(X1,X1)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_102]).
% 0.61/1.01 cnf('0.103.0.0',plain,
% 0.61/1.01 ( ld(X1,ld(X1,X2)) = rd(unit,ld(X2,mult(X1,X1))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.12.2.0','0.102.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.103.0.1',plain,
% 0.61/1.01 ( ld(X1,ld(X1,X2)) = ld(ld(X2,mult(X1,X1)),unit) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.103.0.0','0.40.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.103.1.0',plain,
% 0.61/1.01 ( ld(X1,ld(X1,X2)) = ld(ld(X2,mult(X1,X1)),unit) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.103.0.1']),
% 0.61/1.01 [weight('<103,102,12,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.103.2.0',plain,
% 0.61/1.01 ( ld(ld(X1,mult(X2,X2)),unit) = ld(X2,ld(X2,X1)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_103]).
% 0.61/1.01 cnf('0.115.0.0',plain,
% 0.61/1.01 ( ld(ld(X1,mult(X2,X2)),X3) = mult(ld(X2,ld(X2,X1)),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.63.2.0','0.103.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.115.1.0',plain,
% 0.61/1.01 ( ld(ld(X1,mult(X2,X2)),X3) = mult(ld(X2,ld(X2,X1)),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.115.0.0']),
% 0.61/1.01 [weight('<119,103,63,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.115.2.0',plain,
% 0.61/1.01 ( mult(ld(X1,ld(X1,X2)),X3) = ld(ld(X2,mult(X1,X1)),X3) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_115]).
% 0.61/1.01 cnf('0.138.0.0',plain,
% 0.61/1.01 ( mult(X1,mult(X2,X2)) = rd(X3,ld(X2,ld(X2,ld(X1,X3)))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.96.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.138.1.0',plain,
% 0.61/1.01 ( mult(X1,mult(X2,X2)) = rd(X3,ld(X2,ld(X2,ld(X1,X3)))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.138.0.0']),
% 0.61/1.01 [weight('<149,96,1,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.138.2.0',plain,
% 0.61/1.01 ( rd(X1,ld(X2,ld(X2,ld(X3,X1)))) = mult(X3,mult(X2,X2)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_138]).
% 0.61/1.01 cnf('0.139.0.0',plain,
% 0.61/1.01 ( ld(X1,ld(X1,ld(X2,X3))) = ld(mult(X2,mult(X1,X1)),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.13.2.0','0.138.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.139.1.0',plain,
% 0.61/1.01 ( ld(X1,ld(X1,ld(X2,X3))) = ld(mult(X2,mult(X1,X1)),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.139.0.0']),
% 0.61/1.01 [weight('<119,138,13,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.139.2.0',plain,
% 0.61/1.01 ( ld(mult(X1,mult(X2,X2)),X3) = ld(X2,ld(X2,ld(X1,X3))) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_139]).
% 0.61/1.01 cnf('0.141.0.0',plain,
% 0.61/1.01 ( ld(X1,ld(X1,ld(ld(X2,unit),X3))) = ld(ld(X2,mult(X1,X1)),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.139.2.0','0.63.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.141.0.1',plain,
% 0.61/1.01 ( ld(X1,ld(X1,mult(X2,X3))) = ld(ld(X2,mult(X1,X1)),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.141.0.0','0.65.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2','L')]).
% 0.61/1.01 cnf('0.141.1.0',plain,
% 0.61/1.01 ( ld(X1,ld(X1,mult(X2,X3))) = ld(ld(X2,mult(X1,X1)),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.141.0.1']),
% 0.61/1.01 [weight('<119,139,63,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.141.2.0',plain,
% 0.61/1.01 ( ld(ld(X1,mult(X2,X2)),X3) = ld(X2,ld(X2,mult(X1,X3))) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_141]).
% 0.61/1.01 cnf('0.142.0.0',plain,
% 0.61/1.01 ( mult(ld(X1,ld(X1,X2)),X3) = ld(ld(X2,mult(X1,X1)),X3) ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.115.2.0'])).
% 0.61/1.01 cnf('0.142.0.1',plain,
% 0.61/1.01 ( mult(ld(X1,ld(X1,X2)),X3) = ld(X1,ld(X1,mult(X2,X3))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.142.0.0','0.141.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.142.1.0',plain,
% 0.61/1.01 ( mult(ld(X1,ld(X1,X2)),X3) = ld(X1,ld(X1,mult(X2,X3))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.142.0.1']),
% 0.61/1.01 [weight('<119,115,141,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.142.2.0',plain,
% 0.61/1.01 ( mult(ld(X1,ld(X1,X2)),X3) = ld(X1,ld(X1,mult(X2,X3))) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_142]).
% 0.61/1.01 cnf('0.145.0.0',plain,
% 0.61/1.01 ( ld(ld(X1,unit),ld(ld(X1,unit),mult(X2,X3))) = mult(mult(X1,ld(ld(X1,unit),X2)),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.142.2.0','0.65.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.145.0.1',plain,
% 0.61/1.01 ( mult(X1,ld(ld(X1,unit),mult(X2,X3))) = mult(mult(X1,ld(ld(X1,unit),X2)),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.145.0.0','0.65.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.145.0.2',plain,
% 0.61/1.01 ( mult(X1,mult(X1,mult(X2,X3))) = mult(mult(X1,ld(ld(X1,unit),X2)),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.145.0.1','0.65.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.145.0.3',plain,
% 0.61/1.01 ( mult(X1,mult(X1,mult(X2,X3))) = mult(mult(X1,mult(X1,X2)),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.145.0.2','0.65.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.1.2','L')]).
% 0.61/1.01 cnf('0.145.1.0',plain,
% 0.61/1.01 ( mult(X1,mult(X1,mult(X2,X3))) = mult(mult(X1,mult(X1,X2)),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.145.0.3']),
% 0.61/1.01 [weight('<119,142,65,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.145.2.0',plain,
% 0.61/1.01 ( mult(mult(X1,mult(X1,X2)),X3) = mult(X1,mult(X1,mult(X2,X3))) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_145]).
% 0.61/1.01 cnf('1.0.0.0',conjecture,
% 0.61/1.01 ( mult(mult(a,mult(a,b)),c) = mult(mult(a,a),mult(b,c)) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_2489_n008',conjecture_1)).
% 0.61/1.01 cnf('1.0.0.1',plain,
% 0.61/1.01 ( mult(mult(a,mult(a,b)),c) = mult(a,mult(a,mult(b,c))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('1.0.0.2',plain,
% 0.61/1.01 ( mult(a,mult(a,mult(b,c))) = mult(a,mult(a,mult(b,c))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.145.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('1.0.0.3',plain,
% 0.61/1.01 ( $true ),
% 0.61/1.01 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.61/1.01 [conjecture_1]).
% 0.61/1.01
% 0.61/1.01 Proved Goals:
% 0.61/1.01 No. 1: mult(mult(a,mult(a,b)),c) ?= mult(mult(a,a),mult(b,c)) joined, current: mult(a,mult(a,mult(b,c))) = mult(a,mult(a,mult(b,c)))
% 0.61/1.01 1 goal was specified, which was proved.
% 0.61/1.01 % SZS output end CNFRefutation
% 0.61/1.01 #END OF PROOF
% 0.61/1.01
% 0.61/1.01 Problem WALDMEISTER_2489_n008
% 0.61/1.01 CPs.gen 5751
% 0.61/1.01 CPs.reexp 0
% 0.61/1.01 Select 311
% 0.61/1.01 R 145
% 0.61/1.01 E 0
% 0.61/1.01 vsize 6.5M
% 0.61/1.01 rss 3.8M
% 0.61/1.01 process.time 0.036s
% 0.61/1.01 wallclock.time 0.036s
% 0.61/1.01 status S
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Waldmeister states: Goal proved.
% 0.61/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------