TSTP Solution File: BOO073-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO073-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 : Thu Jul 14 23:52:57 EDT 2022
% Result : Unsatisfiable 0.71s 1.65s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO073-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 16:16:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/1.07 ********************************************************************************
% 0.67/1.07 * W A L D M E I S T E R \| \ / \|/ *
% 0.67/1.07 * |/ | \/ | *
% 0.67/1.07 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.67/1.07 * A. Jaeger and B. Loechner | | *
% 0.67/1.07 * <waldmeister@informatik.uni-kl.de> | *
% 0.67/1.07 ********************************************************************************
% 0.67/1.07
% 0.67/1.07
% 0.67/1.07 Goals:
% 0.67/1.07 ------
% 0.67/1.07
% 0.67/1.07 ( 1) add(add(a,b),c) ?=? add(a,add(b,c))
% 0.67/1.07
% 0.67/1.07 Detected structure: Orkus
% 0.67/1.07 ********************************************************************************
% 0.67/1.07 ****************************** COMPLETION - PROOF ******************************
% 0.67/1.07 ********************************************************************************
% 0.67/1.07
% 0.71/1.65 joined goal: 1 add(add(a,b),c) ?= add(a,add(b,c)) to add(add(b,c),a)
% 0.71/1.65 goal joined
% 0.71/1.65 % SZS status Unsatisfiable
% 0.71/1.65 #START OF PROOF
% 0.71/1.65 % SZS output start CNFRefutation
% 0.71/1.65 cnf('0.1.0.0',axiom,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))))) ),
% 0.71/1.65 file('/tmp/WALDMEISTER_6678_n023')).
% 0.71/1.65 cnf('0.1.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.71/1.65 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.71/1.65 cnf('0.1.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_1]).
% 0.71/1.65 cnf('0.3.0.0',plain,
% 0.71/1.65 ( inverse(X1) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2','L')]).
% 0.71/1.65 cnf('0.3.1.0',plain,
% 0.71/1.65 ( inverse(X1) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.71/1.65 [weight('<439,1,1,[0,0,0,9]>')]).
% 0.71/1.65 cnf('0.3.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_3]).
% 0.71/1.65 cnf('0.4.0.0',plain,
% 0.71/1.65 ( inverse(X1) = inverse(add(inverse(add(X1,inverse(X1))),X1)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1.1.1','L')]).
% 0.71/1.65 cnf('0.4.1.0',plain,
% 0.71/1.65 ( inverse(X1) = inverse(add(inverse(add(X1,inverse(X1))),X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.71/1.65 [weight('<98,3,1,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.4.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(X1,inverse(X1))),X1)) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_4]).
% 0.71/1.65 cnf('0.5.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.5.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.71/1.65 [weight('<271,4,1,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.5.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_5]).
% 0.71/1.65 cnf('0.6.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(add(X1,X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2.1.2','L')]).
% 0.71/1.65 cnf('0.6.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(add(X1,X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.71/1.65 [weight('<89,5,5,[0,0,0,7]>')]).
% 0.71/1.65 cnf('0.6.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_6]).
% 0.71/1.65 cnf('0.7.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2.1.2','L')]).
% 0.71/1.65 cnf('0.7.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.71/1.65 [weight('<209,5,1,[0,0,0,12]>')]).
% 0.71/1.65 cnf('0.7.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3)))) = X3 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_7]).
% 0.71/1.65 cnf('0.8.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(X2,X1)),inverse(add(inverse(X2),X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1.1.1','L')]).
% 0.71/1.65 cnf('0.8.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(X2,X1)),inverse(add(inverse(X2),X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.71/1.65 [weight('<155,7,5,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.8.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2)))) = X2 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_8]).
% 0.71/1.65 cnf('0.9.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2','L')]).
% 0.71/1.65 cnf('0.9.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.71/1.65 [weight('<155,8,4,[1,0,0,6]>')]).
% 0.71/1.65 cnf('0.9.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_9]).
% 0.71/1.65 cnf('0.10.0.0',plain,
% 0.71/1.65 ( inverse(add(X1,X1)) = inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2','L')]).
% 0.71/1.65 cnf('0.10.1.0',plain,
% 0.71/1.65 ( inverse(add(X1,X1)) = inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.71/1.65 [weight('<164,8,6,[1,0,0,6]>')]).
% 0.71/1.65 cnf('0.10.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) = inverse(add(X1,X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_10]).
% 0.71/1.65 cnf('0.11.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.11.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.71/1.65 [weight('<131,10,7,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.11.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_11]).
% 0.71/1.65 cnf('0.14.0.0',plain,
% 0.71/1.65 ( inverse(X1) = inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.14.1.0',plain,
% 0.71/1.65 ( inverse(X1) = inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.71/1.65 [weight('<167,9,7,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.14.2.0',plain,
% 0.71/1.65 ( inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_14]).
% 0.71/1.65 cnf('0.15.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(X2),X1)),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.14.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1.1.1','L')]).
% 0.71/1.65 cnf('0.15.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(X2),X1)),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.71/1.65 [weight('<155,14,7,[0,0,0,4]>')]).
% 0.71/1.65 cnf('0.15.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2)))) = X2 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_15]).
% 0.71/1.65 cnf('0.17.0.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X2)))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.15.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.17.1.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X2)))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.71/1.65 [weight('<191,15,7,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.17.2.0',plain,
% 0.71/1.65 ( inverse(add(X1,inverse(add(inverse(X2),inverse(add(X2,X1)))))) = inverse(add(X2,X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_17]).
% 0.71/1.65 cnf('0.26.0.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),X2)) = inverse(add(X2,inverse(add(X1,inverse(add(inverse(X1),X2)))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.26.1.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),X2)) = inverse(add(X2,inverse(add(X1,inverse(add(inverse(X1),X2)))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.71/1.65 [weight('<203,8,7,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.26.2.0',plain,
% 0.71/1.65 ( inverse(add(X1,inverse(add(X2,inverse(add(inverse(X2),X1)))))) = inverse(add(inverse(X2),X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_26]).
% 0.71/1.65 cnf('0.27.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.5.2.0','0.26.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2.1.2','L')]).
% 0.71/1.65 cnf('0.27.0.1',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.27.0.0','0.26.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.27.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.71/1.65 [weight('<55,26,5,[0,0,0,7]>')]).
% 0.71/1.65 cnf('0.27.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(X1))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_27]).
% 0.71/1.65 cnf('0.28.0.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1 ),
% 0.71/1.65 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.71/1.65 cnf('0.28.0.1',plain,
% 0.71/1.65 ( add(X1,X1) = X1 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.28.0.0','0.27.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.28.1.0',plain,
% 0.71/1.65 ( add(X1,X1) = X1 ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.71/1.65 [weight('<19,11,27,[0,0,0,0]>')]).
% 0.71/1.65 cnf('0.28.2.0',plain,
% 0.71/1.65 ( add(X1,X1) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_28]).
% 0.71/1.65 cnf('0.29.0.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1 ),
% 0.71/1.65 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.71/1.65 cnf('0.29.0.1',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(X1))) = X1 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.29.0.0','0.28.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2.1','L')]).
% 0.71/1.65 cnf('0.29.0.2',plain,
% 0.71/1.65 ( inverse(inverse(X1)) = X1 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.29.0.1','0.28.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.29.1.0',plain,
% 0.71/1.65 ( inverse(inverse(X1)) = X1 ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.71/1.65 [weight('<19,6,28,[0,0,0,0]>')]).
% 0.71/1.65 cnf('0.29.2.0',plain,
% 0.71/1.65 ( inverse(inverse(X1)) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_29]).
% 0.71/1.65 cnf('0.35.0.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.8.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.35.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.71/1.65 [weight('<142,29,8,[1,0,0,1]>')]).
% 0.71/1.65 cnf('0.35.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_35]).
% 0.71/1.65 cnf('0.39.0.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.15.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.39.1.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.71/1.65 [weight('<142,29,15,[1,0,0,1]>')]).
% 0.71/1.65 cnf('0.39.2.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_39]).
% 0.71/1.65 cnf('0.42.0.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = inverse(inverse(add(X2,X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.17.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.42.0.1',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.42.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.42.1.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.71/1.65 [weight('<153,29,17,[1,0,0,1]>')]).
% 0.71/1.65 cnf('0.42.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_42]).
% 0.71/1.65 cnf('0.45.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.28.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2.1','L')]).
% 0.71/1.65 cnf('0.45.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.71/1.65 [weight('<155,28,7,[0,0,0,10]>')]).
% 0.71/1.65 cnf('0.45.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_45]).
% 0.71/1.65 cnf('0.46.0.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(X2,inverse(inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.45.2.0','0.7.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.46.0.1',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(X2,add(X1,X2))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.46.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1.2','L')]).
% 0.71/1.65 cnf('0.46.1.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(X2,add(X1,X2))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.71/1.65 [weight('<76,45,7,[1,0,0,2]>')]).
% 0.71/1.65 cnf('0.46.2.0',plain,
% 0.71/1.65 ( inverse(add(X1,add(X2,X1))) = inverse(add(X2,X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_46]).
% 0.71/1.65 cnf('0.47.0.0',plain,
% 0.71/1.65 ( add(X1,add(X2,X1)) = inverse(inverse(add(X2,X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.46.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.47.0.1',plain,
% 0.71/1.65 ( add(X1,add(X2,X1)) = add(X2,X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.47.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.47.1.0',plain,
% 0.71/1.65 ( add(X1,add(X2,X1)) = add(X2,X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.71/1.65 [weight('<53,46,29,[0,0,0,1]>')]).
% 0.71/1.65 cnf('0.47.2.0',plain,
% 0.71/1.65 ( add(X1,add(X2,X1)) = add(X2,X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_47]).
% 0.71/1.65 cnf('0.48.0.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = add(inverse(add(X1,X2)),inverse(X2)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.47.2.0','0.39.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.48.0.1',plain,
% 0.71/1.65 ( inverse(X2) = add(inverse(add(X1,X2)),inverse(X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.48.0.0','0.39.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.48.1.0',plain,
% 0.71/1.65 ( inverse(X2) = add(inverse(add(X1,X2)),inverse(X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.71/1.65 [weight('<79,47,39,[1,0,0,2]>')]).
% 0.71/1.65 cnf('0.48.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(X2)) = inverse(X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_48]).
% 0.71/1.65 cnf('0.49.0.0',plain,
% 0.71/1.65 ( inverse(inverse(X1)) = add(inverse(add(X2,inverse(X1))),X1) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.48.2.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.49.0.1',plain,
% 0.71/1.65 ( X1 = add(inverse(add(X2,inverse(X1))),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.49.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.49.1.0',plain,
% 0.71/1.65 ( X1 = add(inverse(add(X2,inverse(X1))),X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.71/1.65 [weight('<71,48,29,[1,0,0,5]>')]).
% 0.71/1.65 cnf('0.49.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,inverse(X2))),X2) = X2 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_49]).
% 0.71/1.65 cnf('0.50.0.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.7.2.0','0.49.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1.1','L')]).
% 0.71/1.65 cnf('0.50.1.0',plain,
% 0.71/1.65 ( X1 = inverse(add(inverse(X1),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.71/1.65 [weight('<89,49,7,[0,0,0,3]>')]).
% 0.71/1.65 cnf('0.50.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X2,X1)))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_50]).
% 0.71/1.65 cnf('0.51.0.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(inverse(inverse(add(X1,X2))),X2)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.50.2.0','0.7.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2','L')]).
% 0.71/1.65 cnf('0.51.0.1',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(add(X1,X2),X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.51.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1.1','L')]).
% 0.71/1.65 cnf('0.51.1.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = inverse(add(add(X1,X2),X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.51.0.1']),
% 0.71/1.65 [weight('<76,50,7,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.51.2.0',plain,
% 0.71/1.65 ( inverse(add(add(X1,X2),X2)) = inverse(add(X1,X2)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_51]).
% 0.71/1.65 cnf('0.52.0.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X2) = inverse(inverse(add(X1,X2))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.51.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.52.0.1',plain,
% 0.71/1.65 ( add(add(X1,X2),X2) = add(X1,X2) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.52.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.52.1.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X2) = add(X1,X2) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.71/1.65 [weight('<53,51,29,[0,0,0,1]>')]).
% 0.71/1.65 cnf('0.52.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X2) = add(X1,X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_52]).
% 0.71/1.65 cnf('0.54.0.0',plain,
% 0.71/1.65 ( add(inverse(X1),inverse(add(X2,X1))) = inverse(X1) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.50.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.54.1.0',plain,
% 0.71/1.65 ( add(inverse(X1),inverse(add(X2,X1))) = inverse(X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.71/1.65 [weight('<79,50,29,[0,0,0,1]>')]).
% 0.71/1.65 cnf('0.54.2.0',plain,
% 0.71/1.65 ( add(inverse(X1),inverse(add(X2,X1))) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_54]).
% 0.71/1.65 cnf('0.55.0.0',plain,
% 0.71/1.65 ( inverse(inverse(X1)) = add(X1,inverse(add(X2,inverse(X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.54.2.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.55.0.1',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(X2,inverse(X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.55.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.55.1.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(X2,inverse(X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.71/1.65 [weight('<71,54,29,[1,0,0,1]>')]).
% 0.71/1.65 cnf('0.55.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(X1)))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_55]).
% 0.71/1.65 cnf('0.56.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(X1,X2))) = add(inverse(inverse(X2)),inverse(add(inverse(inverse(X2)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.35.2.0','0.54.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.56.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(inverse(X2)),inverse(add(inverse(inverse(X2)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.56.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.56.0.2',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(inverse(inverse(X2)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.56.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.56.0.3',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(X2,inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.56.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1.1','L')]).
% 0.71/1.65 cnf('0.56.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(X2,inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.56.0.3']),
% 0.71/1.65 [weight('<129,54,35,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.56.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X1,inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_56]).
% 0.71/1.65 cnf('0.58.0.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = inverse(inverse(add(inverse(X2),X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.26.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.58.0.1',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.58.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.58.1.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.58.0.1']),
% 0.71/1.65 [weight('<164,29,26,[1,0,0,1]>')]).
% 0.71/1.65 cnf('0.58.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_58]).
% 0.71/1.65 cnf('0.61.0.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.7.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.61.1.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.71/1.65 [weight('<194,29,7,[1,0,0,1]>')]).
% 0.71/1.65 cnf('0.61.2.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_61]).
% 0.71/1.65 cnf('0.63.0.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(inverse(inverse(X2)),X1)),inverse(add(inverse(add(X3,X2)),X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.61.2.0','0.35.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1.1.1','L')]).
% 0.71/1.65 cnf('0.63.0.1',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X2,X1)),inverse(add(inverse(add(X3,X2)),X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.63.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1.1.1','L')]).
% 0.71/1.65 cnf('0.63.1.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X2,X1)),inverse(add(inverse(add(X3,X2)),X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.71/1.65 [weight('<194,61,35,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.63.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X1)),X2))) = inverse(X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_63]).
% 0.71/1.65 cnf('0.64.0.0',plain,
% 0.71/1.65 ( add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = add(inverse(add(X1,X3)),inverse(add(inverse(inverse(add(inverse(add(X1,X2)),X3))),inverse(inverse(X3))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.42.2.0','0.61.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.2.1','L')]).
% 0.71/1.65 cnf('0.64.0.1',plain,
% 0.71/1.65 ( inverse(X3) = add(inverse(add(X1,X3)),inverse(add(inverse(inverse(add(inverse(add(X1,X2)),X3))),inverse(inverse(X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.64.0.0','0.61.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.64.0.2',plain,
% 0.71/1.65 ( inverse(X3) = add(inverse(add(X1,X3)),inverse(add(add(inverse(add(X1,X2)),X3),inverse(inverse(X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.64.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1.1','L')]).
% 0.71/1.65 cnf('0.64.0.3',plain,
% 0.71/1.65 ( inverse(X3) = add(inverse(add(X1,X3)),inverse(add(add(inverse(add(X1,X2)),X3),X3))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.64.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1.2','L')]).
% 0.71/1.65 cnf('0.64.0.4',plain,
% 0.71/1.65 ( inverse(X3) = add(inverse(add(X1,X3)),inverse(add(inverse(add(X1,X2)),X3))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.64.0.3','0.52.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.64.1.0',plain,
% 0.71/1.65 ( inverse(X3) = add(inverse(add(X1,X3)),inverse(add(inverse(add(X1,X2)),X3))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.64.0.4']),
% 0.71/1.65 [weight('<194,61,42,[0,0,0,7]>')]).
% 0.71/1.65 cnf('0.64.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(inverse(add(X1,X3)),X2))) = inverse(X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_64]).
% 0.71/1.65 cnf('0.66.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(X1,X2))) = add(inverse(inverse(X2)),inverse(add(inverse(inverse(add(inverse(X1),X2))),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.35.2.0','0.39.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.66.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(inverse(X2)),inverse(add(inverse(inverse(add(inverse(X1),X2))),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.66.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.66.0.2',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(inverse(inverse(add(inverse(X1),X2))),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.66.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.66.0.3',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(add(inverse(X1),X2),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.66.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1.1','L')]).
% 0.71/1.65 cnf('0.66.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(add(inverse(X1),X2),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.66.0.3']),
% 0.71/1.65 [weight('<207,39,35,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.66.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(add(inverse(X2),X1),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_66]).
% 0.71/1.65 cnf('0.68.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(X1,X2))) = add(inverse(inverse(X2)),inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.61.2.0','0.61.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.68.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(inverse(X2)),inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.68.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.68.0.2',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.68.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.68.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.68.0.2']),
% 0.71/1.65 [weight('<207,61,61,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.68.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_68]).
% 0.71/1.65 cnf('0.69.0.0',plain,
% 0.71/1.65 ( add(X1,add(X1,X2)) = add(add(X1,X2),inverse(inverse(add(X1,X2)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.68.2.0','0.54.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.69.0.1',plain,
% 0.71/1.65 ( add(X1,add(X1,X2)) = add(add(X1,X2),add(X1,X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.69.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.69.0.2',plain,
% 0.71/1.65 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.69.0.1','0.28.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.69.1.0',plain,
% 0.71/1.65 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.69.0.2']),
% 0.71/1.65 [weight('<53,68,54,[1,0,0,3]>')]).
% 0.71/1.65 cnf('0.69.2.0',plain,
% 0.71/1.65 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_69]).
% 0.71/1.65 cnf('0.73.0.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = add(inverse(add(inverse(X1),inverse(add(X1,X2)))),inverse(add(inverse(X1),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.68.2.0','0.58.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.73.0.1',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = inverse(add(inverse(X1),inverse(add(X1,X2)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.73.0.0','0.28.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.73.1.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = inverse(add(inverse(X1),inverse(add(X1,X2)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.73.0.1']),
% 0.71/1.65 [weight('<208,68,58,[1,0,0,3]>')]).
% 0.71/1.65 cnf('0.73.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = inverse(add(inverse(X1),inverse(add(X1,X2)))) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_73]).
% 0.71/1.65 cnf('0.74.0.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1 ),
% 0.71/1.65 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.71/1.65 cnf('0.74.0.1',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(inverse(add(inverse(X1),inverse(add(X1,X2))))))) = X1 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.74.0.0','0.73.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2.1','L')]).
% 0.71/1.65 cnf('0.74.0.2',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),add(inverse(X1),inverse(add(X1,X2))))) = X1 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.74.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.2','L')]).
% 0.71/1.65 cnf('0.74.0.3',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.74.0.2','0.69.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.74.1.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1 ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.74.0.3']),
% 0.71/1.65 [weight('<89,5,73,[0,0,0,0]>')]).
% 0.71/1.65 cnf('0.74.2.0',plain,
% 0.71/1.65 ( inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_74]).
% 0.71/1.65 cnf('0.76.0.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.71/1.65 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 0.71/1.65 cnf('0.76.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.76.0.0','0.74.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.76.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.76.0.1']),
% 0.71/1.65 [weight('<48,42,74,[0,0,0,0]>')]).
% 0.71/1.65 cnf('0.76.2.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,X1) ),
% 0.71/1.65 inference(activate,[status(thm)],['0.76.1.0']),
% 0.71/1.65 [equation_1]).
% 0.71/1.65 cnf('0.77.0.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(inverse(X1),X2))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.55.2.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.77.1.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(inverse(X1),X2))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.77.0.0']),
% 0.71/1.65 [weight('<71,76,55,[0,0,0,3]>')]).
% 0.71/1.65 cnf('0.77.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(X1),X2))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_76]).
% 0.71/1.65 cnf('0.78.0.0',plain,
% 0.71/1.65 ( add(inverse(X1),inverse(add(X1,X2))) = inverse(X1) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.29.2.0','0.74.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.78.1.0',plain,
% 0.71/1.65 ( add(inverse(X1),inverse(add(X1,X2))) = inverse(X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.71/1.65 [weight('<79,74,29,[0,0,0,1]>')]).
% 0.71/1.65 cnf('0.78.2.0',plain,
% 0.71/1.65 ( add(inverse(X1),inverse(add(X1,X2))) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_77]).
% 0.71/1.65 cnf('0.79.0.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(X2,inverse(add(X2,X1))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.56.2.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.2.1','L')]).
% 0.71/1.65 cnf('0.79.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X2,inverse(add(X2,inverse(add(X2,X1))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.79.0.0']),
% 0.71/1.65 [weight('<129,76,56,[0,0,0,6]>')]).
% 0.71/1.65 cnf('0.79.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X1,inverse(add(X1,X2))))) = add(X2,X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_78]).
% 0.71/1.65 cnf('0.80.0.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X1,X2)),inverse(add(inverse(X2),X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.35.2.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.80.1.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X1,X2)),inverse(add(inverse(X2),X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.71/1.65 [weight('<142,76,35,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.80.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(inverse(X2),X1))) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_79]).
% 0.71/1.65 cnf('0.84.0.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X2)),X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.63.2.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.84.1.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X2)),X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.84.0.0']),
% 0.71/1.65 [weight('<194,76,63,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.84.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X2)),X1))) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_83]).
% 0.71/1.65 cnf('0.89.0.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X1,X2)),inverse(add(X1,inverse(add(X3,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.84.2.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.89.1.0',plain,
% 0.71/1.65 ( inverse(X1) = add(inverse(add(X1,X2)),inverse(add(X1,inverse(add(X3,X2))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.89.0.0']),
% 0.71/1.65 [weight('<194,84,76,[1,0,0,6]>')]).
% 0.71/1.65 cnf('0.89.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(X1,inverse(add(X3,X2))))) = inverse(X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_88]).
% 0.71/1.65 cnf('0.98.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(X1,X2))) = add(inverse(add(inverse(add(X1,X2)),inverse(add(X3,X2)))),inverse(inverse(X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.89.2.0','0.89.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.98.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(add(inverse(add(X1,X2)),inverse(add(X3,X2)))),inverse(inverse(X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.98.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.98.0.2',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(add(inverse(add(X1,X2)),inverse(add(X3,X2)))),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.98.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.98.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(add(inverse(add(X1,X2)),inverse(add(X3,X2)))),X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.98.0.2']),
% 0.71/1.65 [weight('<207,89,89,[0,0,0,6]>')]).
% 0.71/1.65 cnf('0.98.1.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(X1,inverse(add(inverse(add(X1,X2)),inverse(add(X3,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.98.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.98.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(add(X1,X2)),inverse(add(X3,X2))))) = add(X1,X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.98.1.1',theory(equality)]),
% 0.71/1.65 [x,rule_97]).
% 0.71/1.65 cnf('0.102.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(inverse(X1),X2))) = add(inverse(inverse(X2)),inverse(add(inverse(inverse(add(X2,X1))),inverse(add(inverse(X1),X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.35.2.0','0.80.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.102.0.1',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(inverse(inverse(X2)),inverse(add(inverse(inverse(add(X2,X1))),inverse(add(inverse(X1),X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.102.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.102.0.2',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(X2,inverse(add(inverse(inverse(add(X2,X1))),inverse(add(inverse(X1),X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.102.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.102.0.3',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(X2,inverse(add(add(X2,X1),inverse(add(inverse(X1),X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.102.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1.1','L')]).
% 0.71/1.65 cnf('0.102.1.0',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(X2,inverse(add(add(X2,X1),inverse(add(inverse(X1),X2))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.102.0.3']),
% 0.71/1.65 [weight('<220,80,35,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.102.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(add(X1,X2),inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_101]).
% 0.71/1.65 cnf('0.104.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(inverse(add(X1,X2)),X3))) = add(inverse(inverse(X3)),inverse(add(inverse(inverse(add(X2,X3))),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.35.2.0','0.63.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.104.0.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(inverse(inverse(X3)),inverse(add(inverse(inverse(add(X2,X3))),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.104.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.104.0.2',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(inverse(inverse(add(X2,X3))),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.104.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.104.0.3',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(add(X2,X3),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.104.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1.1','L')]).
% 0.71/1.65 cnf('0.104.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(add(X2,X3),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.104.0.3']),
% 0.71/1.65 [weight('<?,63,35,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.104.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(add(X2,X1),inverse(add(inverse(add(X3,X2)),X1))))) = add(inverse(add(X3,X2)),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_103]).
% 0.71/1.65 cnf('0.108.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(X1,X2))) = add(inverse(inverse(X1)),inverse(add(inverse(add(X3,inverse(X1))),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.63.2.0','0.78.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.108.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(inverse(X1)),inverse(add(inverse(add(X3,inverse(X1))),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.108.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.108.0.2',plain,
% 0.71/1.65 ( add(X1,X2) = add(X1,inverse(add(inverse(add(X3,inverse(X1))),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.108.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.108.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X1,inverse(add(inverse(add(X3,inverse(X1))),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.108.0.2']),
% 0.71/1.65 [weight('<237,78,63,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.108.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(add(X2,inverse(X1))),inverse(add(X1,X3))))) = add(X1,X3) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_107]).
% 0.71/1.65 cnf('0.109.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(X1,X2))) = add(inverse(inverse(X1)),inverse(add(inverse(add(inverse(X1),X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.64.2.0','0.78.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.109.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(inverse(X1)),inverse(add(inverse(add(inverse(X1),X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.109.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.109.0.2',plain,
% 0.71/1.65 ( add(X1,X2) = add(X1,inverse(add(inverse(add(inverse(X1),X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.109.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.109.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(X1,inverse(add(inverse(add(inverse(X1),X3)),inverse(add(X1,X2))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.109.0.2']),
% 0.71/1.65 [weight('<237,78,64,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.109.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X3))))) = add(X1,X3) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_108]).
% 0.71/1.65 cnf('0.114.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(inverse(add(X1,X2)),X3))) = add(inverse(add(X2,inverse(add(inverse(add(X1,X2)),X3)))),inverse(inverse(X3))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.64.2.0','0.63.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.114.0.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(inverse(add(X2,inverse(add(inverse(add(X1,X2)),X3)))),inverse(inverse(X3))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.114.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.114.0.2',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(inverse(add(X2,inverse(add(inverse(add(X1,X2)),X3)))),X3) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.114.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.114.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(inverse(add(X2,inverse(add(inverse(add(X1,X2)),X3)))),X3) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.114.0.2']),
% 0.71/1.65 [weight('<246,64,63,[1,0,0,6]>')]).
% 0.71/1.65 cnf('0.114.1.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(X2,inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.114.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.114.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(add(inverse(add(X3,X2)),X1))))) = add(inverse(add(X3,X2)),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.114.1.1',theory(equality)]),
% 0.71/1.65 [x,rule_113]).
% 0.71/1.65 cnf('0.115.0.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,inverse(add(X1,X2)))),X2) = add(X2,inverse(inverse(X2))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.114.2.0','0.64.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.115.0.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,inverse(add(X1,X2)))),X2) = add(X2,X2) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.115.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.115.0.2',plain,
% 0.71/1.65 ( add(inverse(add(X1,inverse(add(X1,X2)))),X2) = X2 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.115.0.1','0.28.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.115.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,inverse(add(X1,X2)))),X2) = X2 ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.115.0.2']),
% 0.71/1.65 [weight('<109,114,64,[1,0,0,3]>')]).
% 0.71/1.65 cnf('0.115.1.1',plain,
% 0.71/1.65 ( add(X2,inverse(add(X1,inverse(add(X1,X2))))) = X2 ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.115.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.115.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(add(X2,X1))))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.115.1.1',theory(equality)]),
% 0.71/1.65 [u,rule_114]).
% 0.71/1.65 cnf('0.116.0.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X1,inverse(add(X2,inverse(X1)))))) = add(X1,inverse(inverse(add(X2,inverse(X1))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.108.2.0','0.115.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.116.0.1',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(X1,inverse(inverse(add(X2,inverse(X1))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.116.0.0','0.55.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.116.0.2',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(X1,add(X2,inverse(X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.116.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.116.1.0',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(X1,add(X2,inverse(X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.116.0.2']),
% 0.71/1.65 [weight('<76,115,108,[0,0,0,3]>')]).
% 0.71/1.65 cnf('0.116.2.0',plain,
% 0.71/1.65 ( add(X1,add(X2,inverse(X1))) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_115]).
% 0.71/1.65 cnf('0.117.0.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X1,inverse(add(inverse(X1),X2))))) = add(X1,inverse(inverse(add(inverse(X1),X2)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.109.2.0','0.115.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.117.0.1',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(X1,inverse(inverse(add(inverse(X1),X2)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.117.0.0','0.77.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.117.0.2',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(X1,add(inverse(X1),X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.117.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.117.1.0',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(X1,add(inverse(X1),X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.117.0.2']),
% 0.71/1.65 [weight('<76,115,109,[0,0,0,3]>')]).
% 0.71/1.65 cnf('0.117.2.0',plain,
% 0.71/1.65 ( add(X1,add(inverse(X1),X2)) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_116]).
% 0.71/1.65 cnf('0.118.0.0',plain,
% 0.71/1.65 ( add(inverse(X1),inverse(inverse(X1))) = add(inverse(X1),add(X2,X1)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.116.2.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.2','L')]).
% 0.71/1.65 cnf('0.118.0.1',plain,
% 0.71/1.65 ( add(inverse(X1),X1) = add(inverse(X1),add(X2,X1)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.118.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.118.1.0',plain,
% 0.71/1.65 ( add(inverse(X1),X1) = add(inverse(X1),add(X2,X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.118.0.1']),
% 0.71/1.65 [weight('<76,116,29,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.118.1.1',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(inverse(X1),add(X2,X1)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.118.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.118.2.0',plain,
% 0.71/1.65 ( add(inverse(X1),add(X2,X1)) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.118.1.1',theory(equality)]),
% 0.71/1.65 [x,rule_117]).
% 0.71/1.65 cnf('0.125.0.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X1,X2))) = add(add(X1,X2),inverse(X2)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.116.2.0','0.54.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.125.1.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X1,X2))) = add(add(X1,X2),inverse(X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.125.0.0']),
% 0.71/1.65 [weight('<134,116,54,[1,0,0,2]>')]).
% 0.71/1.65 cnf('0.125.1.1',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X1,X2))) = add(inverse(X2),add(X1,X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.125.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.125.1.2',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X1,X2))) = add(X2,inverse(X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.125.1.1','0.118.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.125.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X1,X2))) = add(X2,inverse(X2)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.125.1.2',theory(equality)]),
% 0.71/1.65 [u,rule_124]).
% 0.71/1.65 cnf('0.126.0.0',plain,
% 0.71/1.65 ( add(add(inverse(X1),X2),inverse(add(inverse(X1),X2))) = add(add(X1,inverse(X1)),inverse(add(X1,add(inverse(X1),X2)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.125.2.0','0.117.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.126.0.1',plain,
% 0.71/1.65 ( add(X2,inverse(X2)) = add(add(X1,inverse(X1)),inverse(add(X1,add(inverse(X1),X2)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.126.0.0','0.125.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.126.0.2',plain,
% 0.71/1.65 ( add(X2,inverse(X2)) = add(add(X1,inverse(X1)),inverse(add(X1,inverse(X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.126.0.1','0.117.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.126.0.3',plain,
% 0.71/1.65 ( add(X2,inverse(X2)) = add(inverse(X1),inverse(inverse(X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.126.0.2','0.125.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.126.0.4',plain,
% 0.71/1.65 ( add(X2,inverse(X2)) = add(inverse(X1),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.126.0.3','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.126.1.0',plain,
% 0.71/1.65 ( add(X2,inverse(X2)) = add(inverse(X1),X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.126.0.4']),
% 0.71/1.65 [weight('<80,125,117,[1,0,0,1]>')]).
% 0.71/1.65 cnf('0.126.1.1',plain,
% 0.71/1.65 ( add(X2,inverse(X2)) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.126.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.126.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(X2,inverse(X2)) ),
% 0.71/1.65 inference(activate,[status(thm)],['0.126.1.1']),
% 0.71/1.65 [equation_2]).
% 0.71/1.65 cnf('0.126.2.1',plain,
% 0.71/1.65 ( add(X1,inverse(X1)) = add(c,inverse(c)) ),
% 0.71/1.65 inference(instr,[status(thm)],['0.126.2.0',theory(equality)])).
% 0.71/1.65 cnf('0.126.2.2',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(instl,[status(thm)],['0.126.2.0',theory(equality)])).
% 0.71/1.65 cnf('0.127.0.0',plain,
% 0.71/1.65 ( inverse(inverse(X1)) = add(inverse(add(X2,inverse(X2))),inverse(add(inverse(X1),inverse(X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.35.2.0','0.126.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.127.0.1',plain,
% 0.71/1.65 ( X1 = add(inverse(add(X2,inverse(X2))),inverse(add(inverse(X1),inverse(X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.127.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.127.0.2',plain,
% 0.71/1.65 ( X1 = add(inverse(add(X2,inverse(X2))),inverse(inverse(X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.127.0.1','0.28.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.127.0.3',plain,
% 0.71/1.65 ( X1 = add(inverse(add(X2,inverse(X2))),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.127.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.127.1.0',plain,
% 0.71/1.65 ( X1 = add(inverse(add(X2,inverse(X2))),X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.127.0.3']),
% 0.71/1.65 [weight('<71,126,35,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.127.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,inverse(X1))),X2) = X2 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_125]).
% 0.71/1.65 cnf('0.128.0.0',plain,
% 0.71/1.65 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),inverse(add(X2,inverse(X2)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.54.2.0','0.126.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.128.0.1',plain,
% 0.71/1.65 ( X1 = add(inverse(inverse(X1)),inverse(add(X2,inverse(X2)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.128.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.128.0.2',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(X2,inverse(X2)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.128.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.128.1.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(X2,inverse(X2)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.128.0.2']),
% 0.71/1.65 [weight('<71,126,54,[0,0,0,4]>')]).
% 0.71/1.65 cnf('0.128.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,inverse(X2)))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_126]).
% 0.71/1.65 cnf('0.130.0.0',plain,
% 0.71/1.65 ( add(inverse(inverse(add(X1,inverse(X1)))),X2) = add(inverse(add(X1,inverse(X1))),inverse(inverse(add(X1,inverse(X1))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.127.2.0','0.117.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.130.0.1',plain,
% 0.71/1.65 ( add(add(X1,inverse(X1)),X2) = add(inverse(add(X1,inverse(X1))),inverse(inverse(add(X1,inverse(X1))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.130.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.130.0.2',plain,
% 0.71/1.65 ( add(add(X1,inverse(X1)),X2) = inverse(inverse(add(X1,inverse(X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.130.0.1','0.127.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.130.0.3',plain,
% 0.71/1.65 ( add(add(X1,inverse(X1)),X2) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.130.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.130.1.0',plain,
% 0.71/1.65 ( add(add(X1,inverse(X1)),X2) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.130.0.3']),
% 0.71/1.65 [weight('<76,127,117,[1,0,0,0]>')]).
% 0.71/1.65 cnf('0.130.2.0',plain,
% 0.71/1.65 ( add(add(X1,inverse(X1)),X2) = add(X1,inverse(X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_128]).
% 0.71/1.65 cnf('0.131.0.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = add(inverse(add(X1,X2)),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.115.2.0','0.79.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.131.1.0',plain,
% 0.71/1.65 ( inverse(add(X1,X2)) = add(inverse(add(X1,X2)),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.131.0.0']),
% 0.71/1.65 [weight('<139,115,79,[1,0,0,3]>')]).
% 0.71/1.65 cnf('0.131.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(X2,X1))) = inverse(add(X1,X2)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_129]).
% 0.71/1.65 cnf('0.132.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(X1,X2))) = add(inverse(inverse(add(X1,X2))),inverse(inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.54.2.0','0.131.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.132.0.1',plain,
% 0.71/1.65 ( add(X1,X2) = add(inverse(inverse(add(X1,X2))),inverse(inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.132.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.132.0.2',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),inverse(inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.132.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.132.0.3',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),add(X2,X1)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.132.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.132.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),add(X2,X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.132.0.3']),
% 0.71/1.65 [weight('<87,131,54,[0,0,0,4]>')]).
% 0.71/1.65 cnf('0.132.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),add(X2,X1)) = add(X1,X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_130]).
% 0.71/1.65 cnf('0.133.0.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(inverse(add(X1,X2)))) = add(inverse(inverse(add(X1,X2))),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.118.2.0','0.131.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.133.0.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),add(X1,X2)) = add(inverse(inverse(add(X1,X2))),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.133.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.133.0.2',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),add(X1,X2)) = add(add(X1,X2),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.133.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.133.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),add(X1,X2)) = add(add(X1,X2),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.133.0.2']),
% 0.71/1.65 [weight('<152,131,118,[0,0,0,3]>')]).
% 0.71/1.65 cnf('0.133.1.1',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X1,X2))) = add(add(X1,X2),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.133.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.133.1.2',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(add(X1,X2),inverse(add(X2,X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.133.1.1','0.126.2.1',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.133.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X2,X1))) = add(c,inverse(c)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.133.1.2',theory(equality)]),
% 0.71/1.65 [x,rule_131]).
% 0.71/1.65 cnf('0.138.0.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X2,X1))) = add(inverse(add(X2,X1)),inverse(add(inverse(add(add(X1,X2),X3)),inverse(add(c,inverse(c)))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.68.2.0','0.133.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.2.1','L')]).
% 0.71/1.65 cnf('0.138.0.1',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(inverse(add(X2,X1)),inverse(add(inverse(add(add(X1,X2),X3)),inverse(add(c,inverse(c)))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.138.0.0','0.133.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.138.0.2',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(inverse(add(X2,X1)),inverse(inverse(add(add(X1,X2),X3)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.138.0.1','0.128.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.138.0.3',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(inverse(add(X2,X1)),add(add(X1,X2),X3)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.138.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.138.1.0',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(inverse(add(X2,X1)),add(add(X1,X2),X3)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.138.0.3']),
% 0.71/1.65 [weight('<164,133,68,[0,0,0,9]>')]).
% 0.71/1.65 cnf('0.138.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),add(add(X2,X1),X3)) = add(c,inverse(c)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_136]).
% 0.71/1.65 cnf('0.139.0.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),add(add(X2,X1),X3)) = add(add(add(X2,X1),X3),inverse(add(X2,inverse(add(c,inverse(c)))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.114.2.0','0.138.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.2.1','L')]).
% 0.71/1.65 cnf('0.139.0.1',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(add(add(X2,X1),X3),inverse(add(X2,inverse(add(c,inverse(c)))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.139.0.0','0.138.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.139.0.2',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(add(add(X2,X1),X3),inverse(X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.139.0.1','0.128.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.139.1.0',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(add(add(X2,X1),X3),inverse(X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.139.0.2']),
% 0.71/1.65 [weight('<116,138,114,[0,0,0,6]>')]).
% 0.71/1.65 cnf('0.139.1.1',plain,
% 0.71/1.65 ( add(c,inverse(c)) = add(inverse(X2),add(add(X2,X1),X3)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.139.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.139.2.0',plain,
% 0.71/1.65 ( add(inverse(X1),add(add(X1,X2),X3)) = add(c,inverse(c)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.139.1.1',theory(equality)]),
% 0.71/1.65 [x,rule_137]).
% 0.71/1.65 cnf('0.140.0.0',plain,
% 0.71/1.65 ( add(X1,add(add(X1,X2),X3)) = add(add(add(X1,X2),X3),inverse(add(add(c,inverse(c)),inverse(add(X1,add(add(X1,X2),X3)))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.66.2.0','0.139.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.1','L')]).
% 0.71/1.65 cnf('0.140.0.1',plain,
% 0.71/1.65 ( add(X1,add(add(X1,X2),X3)) = add(add(add(X1,X2),X3),inverse(add(c,inverse(c)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.140.0.0','0.130.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.140.0.2',plain,
% 0.71/1.65 ( add(X1,add(add(X1,X2),X3)) = add(add(X1,X2),X3) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.140.0.1','0.128.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.140.1.0',plain,
% 0.71/1.65 ( add(X1,add(add(X1,X2),X3)) = add(add(X1,X2),X3) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.140.0.2']),
% 0.71/1.65 [weight('<103,139,66,[0,0,0,4]>')]).
% 0.71/1.65 cnf('0.140.2.0',plain,
% 0.71/1.65 ( add(X1,add(add(X1,X2),X3)) = add(add(X1,X2),X3) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.140.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_138]).
% 0.71/1.65 cnf('0.141.0.0',plain,
% 0.71/1.65 ( add(add(X1,X2),add(X3,add(X1,X2))) = add(X1,add(X3,add(X1,X2))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.140.2.0','0.47.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.141.0.1',plain,
% 0.71/1.65 ( add(X3,add(X1,X2)) = add(X1,add(X3,add(X1,X2))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.141.0.0','0.47.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.141.1.0',plain,
% 0.71/1.65 ( add(X3,add(X1,X2)) = add(X1,add(X3,add(X1,X2))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.141.0.1']),
% 0.71/1.65 [weight('<103,140,47,[1,0,0,2]>')]).
% 0.71/1.65 cnf('0.141.2.0',plain,
% 0.71/1.65 ( add(X1,add(X2,add(X1,X3))) = add(X2,add(X1,X3)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_139]).
% 0.71/1.65 cnf('0.143.0.0',plain,
% 0.71/1.65 ( add(X1,add(X2,add(X3,X2))) = add(X2,add(X1,add(X3,X2))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.141.2.0','0.47.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.2','L')]).
% 0.71/1.65 cnf('0.143.0.1',plain,
% 0.71/1.65 ( add(X1,add(X3,X2)) = add(X2,add(X1,add(X3,X2))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.143.0.0','0.47.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.143.1.0',plain,
% 0.71/1.65 ( add(X1,add(X3,X2)) = add(X2,add(X1,add(X3,X2))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.143.0.1']),
% 0.71/1.65 [weight('<103,141,47,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.143.2.0',plain,
% 0.71/1.65 ( add(X1,add(X2,add(X3,X1))) = add(X2,add(X3,X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_141]).
% 0.71/1.65 cnf('0.144.0.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(add(inverse(X1),X2),X3))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.77.2.0','0.140.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.144.1.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(add(inverse(X1),X2),X3))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.144.0.0']),
% 0.71/1.65 [weight('<109,140,77,[0,0,0,3]>')]).
% 0.71/1.65 cnf('0.144.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(add(inverse(X1),X2),X3))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_142]).
% 0.71/1.65 cnf('0.147.0.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(X2,add(X3,inverse(X1))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.77.2.0','0.143.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.147.1.0',plain,
% 0.71/1.65 ( X1 = add(X1,inverse(add(X2,add(X3,inverse(X1))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.147.0.0']),
% 0.71/1.65 [weight('<109,143,77,[0,0,0,3]>')]).
% 0.71/1.65 cnf('0.147.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,add(X3,inverse(X1))))) = X1 ),
% 0.71/1.65 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_145]).
% 0.71/1.65 cnf('0.172.0.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),inverse(add(inverse(X2),X3))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.144.2.0','0.35.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.1','L')]).
% 0.71/1.65 cnf('0.172.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),inverse(add(inverse(X2),X3))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.172.0.0']),
% 0.71/1.65 [weight('<129,144,35,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.172.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(inverse(X2),X3))) = add(X1,X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_170]).
% 0.71/1.65 cnf('0.173.0.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(add(X1,X2),inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(interreduction_right,[status(thm)],['0.102.2.0'])).
% 0.71/1.65 cnf('0.173.0.1',plain,
% 0.71/1.65 ( add(X1,inverse(add(X1,X2))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.173.0.0','0.172.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.173.1.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X1,X2))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.173.0.1']),
% 0.71/1.65 [weight('<76,102,172,[0,0,0,0]>')]).
% 0.71/1.65 cnf('0.173.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X1,X2))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 0.71/1.65 [u,rule_171]).
% 0.71/1.65 cnf('0.174.0.0',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(X2,inverse(add(X1,X2))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.173.2.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.174.1.0',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(X2,inverse(add(X1,X2))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.174.0.0']),
% 0.71/1.65 [weight('<76,173,76,[1,0,0,3]>')]).
% 0.71/1.65 cnf('0.174.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(X2,X1))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_172]).
% 0.71/1.65 cnf('0.176.0.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),inverse(add(inverse(X1),X3))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.144.2.0','0.80.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.1','L')]).
% 0.71/1.65 cnf('0.176.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),inverse(add(inverse(X1),X3))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.176.0.0']),
% 0.71/1.65 [weight('<129,144,80,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.176.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(inverse(X1),X3))) = add(X1,X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.176.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_174]).
% 0.71/1.65 cnf('0.189.0.0',plain,
% 0.71/1.65 ( add(X1,add(add(X2,X3),add(X3,X2))) = add(add(X3,X2),add(X1,add(X2,X3))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.143.2.0','0.132.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.2','L')]).
% 0.71/1.65 cnf('0.189.0.1',plain,
% 0.71/1.65 ( add(X1,add(X2,X3)) = add(add(X3,X2),add(X1,add(X2,X3))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.189.0.0','0.132.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.189.1.0',plain,
% 0.71/1.65 ( add(X1,add(X2,X3)) = add(add(X3,X2),add(X1,add(X2,X3))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.189.0.1']),
% 0.71/1.65 [weight('<149,143,132,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.189.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),add(X3,add(X2,X1))) = add(X3,add(X2,X1)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_187]).
% 0.71/1.65 cnf('0.274.0.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),inverse(add(X3,inverse(add(X2,X1))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.147.2.0','0.131.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.2','L')]).
% 0.71/1.65 cnf('0.274.1.0',plain,
% 0.71/1.65 ( add(X1,X2) = add(add(X1,X2),inverse(add(X3,inverse(add(X2,X1))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.274.0.0']),
% 0.71/1.65 [weight('<179,147,131,[1,0,0,5]>')]).
% 0.71/1.65 cnf('0.274.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),inverse(add(X3,inverse(add(X2,X1))))) = add(X1,X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.274.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_272]).
% 0.71/1.65 cnf('0.287.0.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,add(X2,X3))),inverse(add(X3,X2))) = add(inverse(add(X3,X2)),inverse(add(add(c,inverse(c)),inverse(add(inverse(add(X1,add(X2,X3))),inverse(add(X3,X2))))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.104.2.0','0.133.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.1','L')]).
% 0.71/1.65 cnf('0.287.0.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,add(X2,X3))),inverse(add(X3,X2))) = add(inverse(add(X3,X2)),inverse(add(c,inverse(c)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.287.0.0','0.130.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.287.0.2',plain,
% 0.71/1.65 ( add(inverse(add(X1,add(X2,X3))),inverse(add(X3,X2))) = inverse(add(X3,X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.287.0.1','0.128.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.287.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,add(X2,X3))),inverse(add(X3,X2))) = inverse(add(X3,X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.287.0.2']),
% 0.71/1.65 [weight('<191,133,104,[0,0,0,4]>')]).
% 0.71/1.65 cnf('0.287.1.1',plain,
% 0.71/1.65 ( add(inverse(add(X3,X2)),inverse(add(X1,add(X2,X3)))) = inverse(add(X3,X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.287.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.287.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),inverse(add(X3,add(X2,X1)))) = inverse(add(X1,X2)) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.287.1.1',theory(equality)]),
% 0.71/1.65 [u,rule_285]).
% 0.71/1.65 cnf('0.305.0.0',plain,
% 0.71/1.65 ( add(inverse(inverse(add(inverse(add(X1,X2)),inverse(add(X3,X2))))),X1) = add(X1,inverse(add(X1,X2))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.173.2.0','0.98.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.305.0.1',plain,
% 0.71/1.65 ( add(add(inverse(add(X1,X2)),inverse(add(X3,X2))),X1) = add(X1,inverse(add(X1,X2))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.305.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.305.0.2',plain,
% 0.71/1.65 ( add(add(inverse(add(X1,X2)),inverse(add(X3,X2))),X1) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.305.0.1','0.173.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.305.1.0',plain,
% 0.71/1.65 ( add(add(inverse(add(X1,X2)),inverse(add(X3,X2))),X1) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.305.0.2']),
% 0.71/1.65 [weight('<191,173,98,[1,0,0,3]>')]).
% 0.71/1.65 cnf('0.305.1.1',plain,
% 0.71/1.65 ( add(X1,add(inverse(add(X1,X2)),inverse(add(X3,X2)))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.305.1.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.305.2.0',plain,
% 0.71/1.65 ( add(X1,add(inverse(add(X1,X2)),inverse(add(X3,X2)))) = add(inverse(X2),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.305.1.1',theory(equality)]),
% 0.71/1.65 [u,rule_303]).
% 0.71/1.65 cnf('0.307.0.0',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(X2,add(inverse(add(X3,X1)),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.305.2.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.307.1.0',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(X2,add(inverse(add(X3,X1)),inverse(add(X2,X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.307.0.0']),
% 0.71/1.65 [weight('<191,305,76,[1,0,0,2]>')]).
% 0.71/1.65 cnf('0.307.2.0',plain,
% 0.71/1.65 ( add(X1,add(inverse(add(X2,X3)),inverse(add(X1,X3)))) = add(inverse(X3),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.307.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_305]).
% 0.71/1.65 cnf('0.309.0.0',plain,
% 0.71/1.65 ( add(inverse(inverse(add(X1,X2))),X3) = add(X3,add(inverse(inverse(add(X2,X1))),inverse(add(X3,inverse(add(X1,X2)))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.307.2.0','0.131.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.1','L')]).
% 0.71/1.65 cnf('0.309.0.1',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(X3,add(inverse(inverse(add(X2,X1))),inverse(add(X3,inverse(add(X1,X2)))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.309.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.309.0.2',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(X3,add(add(X2,X1),inverse(add(X3,inverse(add(X1,X2)))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.309.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.309.0.3',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(X3,add(X2,X1)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.309.0.2','0.274.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.309.1.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(X3,add(X2,X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.309.0.3']),
% 0.71/1.65 [weight('<120,307,131,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.309.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(X3,add(X2,X1)) ),
% 0.71/1.65 inference(activate,[status(thm)],['0.309.1.0']),
% 0.71/1.65 [equation_3]).
% 0.71/1.65 cnf('0.310.0.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,add(inverse(add(X2,X1)),inverse(add(X3,add(X1,X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.307.2.0','0.132.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.1','L')]).
% 0.71/1.65 cnf('0.310.0.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(X2,X1))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.310.0.0','0.287.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.310.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(X2,X1))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.310.0.1']),
% 0.71/1.65 [weight('<168,307,132,[1,0,0,4]>')]).
% 0.71/1.65 cnf('0.310.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(X2,X1))) ),
% 0.71/1.65 inference(activate,[status(thm)],['0.310.1.0']),
% 0.71/1.65 [equation_4]).
% 0.71/1.65 cnf('0.359.0.0',plain,
% 0.71/1.65 ( inverse(inverse(add(inverse(add(X1,X2)),X3))) = add(inverse(inverse(X3)),inverse(add(inverse(inverse(add(X1,X3))),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.35.2.0','0.64.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1.1','L')]).
% 0.71/1.65 cnf('0.359.0.1',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(inverse(inverse(X3)),inverse(add(inverse(inverse(add(X1,X3))),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.359.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.359.0.2',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(inverse(inverse(add(X1,X3))),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.359.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.359.0.3',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(add(X1,X3),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.359.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1.1','L')]).
% 0.71/1.65 cnf('0.359.1.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),X3) = add(X3,inverse(add(add(X1,X3),inverse(add(inverse(add(X1,X2)),X3))))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.359.0.3']),
% 0.71/1.65 [weight('<?,64,35,[0,0,0,2]>')]).
% 0.71/1.65 cnf('0.359.2.0',plain,
% 0.71/1.65 ( add(X1,inverse(add(add(X2,X1),inverse(add(inverse(add(X2,X3)),X1))))) = add(inverse(add(X2,X3)),X1) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.359.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_355]).
% 0.71/1.65 cnf('0.377.0.0',plain,
% 0.71/1.65 ( add(inverse(inverse(add(inverse(add(X1,X2)),X3))),inverse(add(X2,X3))) = add(inverse(add(X2,X3)),inverse(inverse(X3))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.173.2.0','0.63.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1','L')]).
% 0.71/1.65 cnf('0.377.0.1',plain,
% 0.71/1.65 ( add(add(inverse(add(X1,X2)),X3),inverse(add(X2,X3))) = add(inverse(add(X2,X3)),inverse(inverse(X3))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.377.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.377.0.2',plain,
% 0.71/1.65 ( add(add(inverse(add(X1,X2)),X3),inverse(add(X2,X3))) = add(inverse(add(X2,X3)),X3) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.377.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2','L')]).
% 0.71/1.65 cnf('0.377.1.0',plain,
% 0.71/1.65 ( add(add(inverse(add(X1,X2)),X3),inverse(add(X2,X3))) = add(inverse(add(X2,X3)),X3) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.377.0.2']),
% 0.71/1.65 [weight('<215,173,63,[1,0,0,3]>')]).
% 0.71/1.65 cnf('0.377.1.1',plain,
% 0.71/1.65 ( add(inverse(add(X2,X3)),add(X3,inverse(add(X1,X2)))) = add(inverse(add(X2,X3)),X3) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.377.1.0','0.309.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.377.1.2',plain,
% 0.71/1.65 ( add(inverse(add(X2,X3)),add(X3,inverse(add(X1,X2)))) = add(X3,inverse(add(X3,X2))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.377.1.1','0.310.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.377.1.3',plain,
% 0.71/1.65 ( add(inverse(add(X2,X3)),add(X3,inverse(add(X1,X2)))) = add(inverse(X2),X3) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.377.1.2','0.173.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.377.2.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),add(X2,inverse(add(X3,X1)))) = add(inverse(X1),X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.377.1.3',theory(equality)]),
% 0.71/1.65 [u,rule_373]).
% 0.71/1.65 cnf('0.378.0.0',plain,
% 0.71/1.65 ( add(inverse(add(X1,X2)),add(X2,inverse(add(X3,X1)))) = add(add(X2,inverse(add(X3,X1))),inverse(add(add(X1,add(X2,inverse(add(X3,X1)))),inverse(add(inverse(X1),X2))))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.359.2.0','0.377.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.1.2.1','L')]).
% 0.71/1.65 cnf('0.378.0.1',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(add(X2,inverse(add(X3,X1))),inverse(add(add(X1,add(X2,inverse(add(X3,X1)))),inverse(add(inverse(X1),X2))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.378.0.0','0.377.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.378.0.2',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(add(X2,inverse(add(X3,X1))),inverse(add(X1,add(X2,inverse(add(X3,X1)))))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.378.0.1','0.176.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.1','L')]).
% 0.71/1.65 cnf('0.378.0.3',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(inverse(X1),add(X2,inverse(add(X3,X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.378.0.2','0.174.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.378.1.0',plain,
% 0.71/1.65 ( add(inverse(X1),X2) = add(inverse(X1),add(X2,inverse(add(X3,X1)))) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.378.0.3']),
% 0.71/1.65 [weight('<139,377,359,[0,0,0,8]>')]).
% 0.71/1.65 cnf('0.378.2.0',plain,
% 0.71/1.65 ( add(inverse(X1),add(X2,inverse(add(X3,X1)))) = add(inverse(X1),X2) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.378.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_374]).
% 0.71/1.65 cnf('0.379.0.0',plain,
% 0.71/1.65 ( add(inverse(inverse(add(X1,X2))),X3) = add(inverse(inverse(add(X1,X2))),add(X3,inverse(inverse(X2)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.378.2.0','0.54.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.2.1','L')]).
% 0.71/1.65 cnf('0.379.0.1',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(inverse(inverse(add(X1,X2))),add(X3,inverse(inverse(X2)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.379.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.379.0.2',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X1,X2),add(X3,inverse(inverse(X2)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.379.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.379.0.3',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X1,X2),add(X3,X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.379.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.2','L')]).
% 0.71/1.65 cnf('0.379.1.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X1,X2),add(X3,X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.379.0.3']),
% 0.71/1.65 [weight('<103,378,54,[1,0,0,6]>')]).
% 0.71/1.65 cnf('0.379.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),add(X3,X2)) = add(add(X1,X2),X3) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.379.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_375]).
% 0.71/1.65 cnf('0.380.0.0',plain,
% 0.71/1.65 ( add(inverse(inverse(add(X1,X2))),X3) = add(inverse(inverse(add(X1,X2))),add(X3,inverse(inverse(X1)))) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.378.2.0','0.78.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2.2.1','L')]).
% 0.71/1.65 cnf('0.380.0.1',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(inverse(inverse(add(X1,X2))),add(X3,inverse(inverse(X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.380.0.0','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.1','L')]).
% 0.71/1.65 cnf('0.380.0.2',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X1,X2),add(X3,inverse(inverse(X1)))) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.380.0.1','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.1','L')]).
% 0.71/1.65 cnf('0.380.0.3',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X1,X2),add(X3,X1)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.380.0.2','0.29.2.0',theory(equality)]),
% 0.71/1.65 [pos('R.2.2','L')]).
% 0.71/1.65 cnf('0.380.1.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X1,X2),add(X3,X1)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.380.0.3']),
% 0.71/1.65 [weight('<103,378,78,[1,0,0,6]>')]).
% 0.71/1.65 cnf('0.380.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),add(X3,X1)) = add(add(X1,X2),X3) ),
% 0.71/1.65 inference(orient,[status(thm)],['0.380.1.0',theory(equality)]),
% 0.71/1.65 [x,rule_376]).
% 0.71/1.65 cnf('0.383.0.0',plain,
% 0.71/1.65 ( add(add(X1,X2),add(X3,X2)) = add(add(X2,X3),add(add(X1,X2),X3)) ),
% 0.71/1.65 inference(cp,[status(thm)],['0.189.2.0','0.379.2.0',theory(equality)]),
% 0.71/1.65 [pos('L.2','L')]).
% 0.71/1.65 cnf('0.383.0.1',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X2,X3),add(add(X1,X2),X3)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.383.0.0','0.379.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('0.383.0.2',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X2,X3),add(X1,X2)) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.383.0.1','0.379.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.383.1.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X2,X3),add(X1,X2)) ),
% 0.71/1.65 inference(weigh,[status(thm)],['0.383.0.2']),
% 0.71/1.65 [weight('<103,379,189,[0,0,0,4]>')]).
% 0.71/1.65 cnf('0.383.1.1',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X2,X3),X1) ),
% 0.71/1.65 inference(reduction,[status(thm)],['0.383.1.0','0.380.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('0.383.2.0',plain,
% 0.71/1.65 ( add(add(X1,X2),X3) = add(add(X2,X3),X1) ),
% 0.71/1.65 inference(activate,[status(thm)],['0.383.1.1']),
% 0.71/1.65 [equation_5]).
% 0.71/1.65 cnf('1.0.0.0',conjecture,
% 0.71/1.65 ( add(add(a,b),c) = add(a,add(b,c)) ),
% 0.71/1.65 file('/tmp/WALDMEISTER_6678_n023',conjecture_1)).
% 0.71/1.65 cnf('1.0.0.1',plain,
% 0.71/1.65 ( add(add(a,b),c) = add(add(b,c),a) ),
% 0.71/1.65 inference(reduction,[status(thm)],['1.0.0.0','0.76.2.0',theory(equality)]),
% 0.71/1.65 [pos('R','L')]).
% 0.71/1.65 cnf('1.0.0.2',plain,
% 0.71/1.65 ( add(add(b,c),a) = add(add(b,c),a) ),
% 0.71/1.65 inference(reduction,[status(thm)],['1.0.0.1','0.383.2.0',theory(equality)]),
% 0.71/1.65 [pos('L','L')]).
% 0.71/1.65 cnf('1.0.0.3',plain,
% 0.71/1.65 ( $true ),
% 0.71/1.65 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.71/1.65 [conjecture_1]).
% 0.71/1.65
% 0.71/1.65 Proved Goals:
% 0.71/1.65 No. 1: add(add(a,b),c) ?= add(a,add(b,c)) joined, current: add(add(b,c),a) = add(add(b,c),a)
% 0.71/1.65 1 goal was specified, which was proved.
% 0.71/1.65 % SZS output end CNFRefutation
% 0.71/1.65 #END OF PROOF
% 0.71/1.65
% 0.71/1.65 Problem WALDMEISTER_6678_n023
% 0.71/1.65 CPs.gen 186496
% 0.71/1.65 CPs.reexp 0
% 0.71/1.65 Select 26345
% 0.71/1.65 R 378
% 0.71/1.65 E 5
% 0.71/1.65 vsize 6.6M
% 0.71/1.65 rss 4.0M
% 0.71/1.65 process.time 0.582s
% 0.71/1.65 wallclock.time 0.582s
% 0.71/1.65 status S
% 0.71/1.65
% 0.71/1.65
% 0.71/1.65 Waldmeister states: Goal proved.
% 0.71/1.65 % SZS status Unsatisfiable
%------------------------------------------------------------------------------