%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP413-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:26:10 EDT 2022
% Result : Unsatisfiable 0.62s 1.09s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP413-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : woody %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 20:43:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.00 * |/ | \/ | *
% 0.60/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.00 * A. Jaeger and B. Loechner | | *
% 0.60/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.60/1.00
% 0.60/1.00 Goals:
% 0.60/1.00 ------
% 0.60/1.00
% 0.60/1.00 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.60/1.00
% 0.60/1.00 Detected structure: Orkus
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.62/1.09 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.62/1.09 goal joined
% 0.62/1.09 % SZS status Unsatisfiable
% 0.62/1.09 #START OF PROOF
% 0.62/1.09 % SZS output start CNFRefutation
% 0.62/1.09 cnf('0.1.0.0',axiom,
% 0.62/1.09 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),X1))),X3))) ),
% 0.62/1.09 file('/tmp/WALDMEISTER_15624_n018')).
% 0.62/1.09 cnf('0.1.1.0',plain,
% 0.62/1.09 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),X1))),X3))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.09 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.09 cnf('0.1.2.0',plain,
% 0.62/1.09 ( multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2))) = X3 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_1]).
% 0.62/1.09 cnf('0.2.0.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4))),X1)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1.1.2.1','L')]).
% 0.62/1.09 cnf('0.2.1.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4))),X1)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.09 [weight('<?,1,1,[0,0,0,10]>')]).
% 0.62/1.09 cnf('0.2.2.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4))),X1)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.2.1.0']),
% 0.62/1.09 [equation_1]).
% 0.62/1.09 cnf('0.2.2.2',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(b2))),X3))),b2)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.3.0.0',plain,
% 0.62/1.09 ( X1 = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X3)))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2','L')]).
% 0.62/1.09 cnf('0.3.1.0',plain,
% 0.62/1.09 ( X1 = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X3)))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.09 [weight('<379,2,1,[0,0,0,2]>')]).
% 0.62/1.09 cnf('0.3.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_2]).
% 0.62/1.09 cnf('0.4.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X4) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2))))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.2','L')]).
% 0.62/1.09 cnf('0.4.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X4) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2))))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.09 [weight('<671,3,2,[1,0,0,8]>')]).
% 0.62/1.09 cnf('0.4.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),inverse(X2))),X5) ),
% 0.62/1.09 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_3]).
% 0.62/1.09 cnf('0.5.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,X4)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.2','L')]).
% 0.62/1.09 cnf('0.5.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,X4)) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.09 [weight('<728,4,1,[1,0,0,8]>')]).
% 0.62/1.09 cnf('0.5.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,X4)) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.5.1.0']),
% 0.62/1.09 [equation_2]).
% 0.62/1.09 cnf('0.5.2.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(b2,inverse(X3))),multiply(b2,X4)) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.5.2.2',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(multiply(b2,inverse(b2))),inverse(X2))),multiply(inverse(multiply(b2,inverse(b2))),X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.6.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.62/1.09 [pos('L','L')]).
% 0.62/1.09 cnf('0.6.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.09 [weight('<360,5,5,[1,0,0,0]>')]).
% 0.62/1.09 cnf('0.6.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.6.1.0']),
% 0.62/1.09 [equation_3]).
% 0.62/1.09 cnf('0.6.2.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,X3)) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.6.2.2',plain,
% 0.62/1.09 ( multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.7.0.0',plain,
% 0.62/1.09 ( multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1.2.1','L')]).
% 0.62/1.09 cnf('0.7.0.1',plain,
% 0.62/1.09 ( X3 = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('L','L')]).
% 0.62/1.09 cnf('0.7.1.0',plain,
% 0.62/1.09 ( X3 = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.62/1.09 [weight('<379,6,2,[0,0,0,8]>')]).
% 0.62/1.09 cnf('0.7.2.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_4]).
% 0.62/1.09 cnf('0.8.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X4)))),X2)))),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1.2','L')]).
% 0.62/1.09 cnf('0.8.0.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X4)),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.8.0.0','0.7.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1.2','L')]).
% 0.62/1.09 cnf('0.8.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X4)),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.62/1.09 [weight('<288,7,6,[0,0,0,4]>')]).
% 0.62/1.09 cnf('0.8.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.8.1.0']),
% 0.62/1.09 [equation_4]).
% 0.62/1.09 cnf('0.8.2.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(b2,X2)),multiply(b2,X3)) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.8.2.2',plain,
% 0.62/1.09 ( multiply(inverse(multiply(b2,X2)),multiply(b2,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.20.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X4)))),X3)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1','L')]).
% 0.62/1.09 cnf('0.20.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X4)))),X3)) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.62/1.09 [weight('<783,8,7,[1,0,0,1]>')]).
% 0.62/1.09 cnf('0.20.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X4)))),X3)) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.20.1.0']),
% 0.62/1.09 [equation_8]).
% 0.62/1.09 cnf('0.20.2.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(b2,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,b2)))),X3)) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.20.2.2',plain,
% 0.62/1.09 ( multiply(inverse(multiply(b2,X2)),multiply(b2,X4)) = multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X1)))),X4)) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.23.0.0',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X3,X2)))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.2.1.1','L')]).
% 0.62/1.09 cnf('0.23.1.0',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X3,X2)))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.62/1.09 [weight('<960,3,1,[1,0,0,10]>')]).
% 0.62/1.09 cnf('0.23.2.0',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X3,X2)))) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.23.1.0']),
% 0.62/1.09 [equation_10]).
% 0.62/1.09 cnf('0.23.2.1',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(multiply(X3,X2)))) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.23.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.23.2.2',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(b2))),X3))),b2) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,X2)))) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.23.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.24.0.0',plain,
% 0.62/1.09 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X1,X2)))))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.1.2.0','0.23.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1','L')]).
% 0.62/1.09 cnf('0.24.1.0',plain,
% 0.62/1.09 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X1,X2)))))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.62/1.09 [weight('<379,23,1,[0,0,0,3]>')]).
% 0.62/1.09 cnf('0.24.2.0',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,X1)))))) = X3 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_14]).
% 0.62/1.09 cnf('0.30.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(X3,multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X3),X5))))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.20.2.0','0.23.2.0',theory(equality)]),
% 0.62/1.09 [pos('R.2','L')]).
% 0.62/1.09 cnf('0.30.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(X3,multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X3),X5))))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.62/1.09 [weight('<783,23,20,[0,0,1,2]>')]).
% 0.62/1.09 cnf('0.30.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(X3,multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X3),X5))))) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.30.1.0']),
% 0.62/1.09 [equation_11]).
% 0.62/1.09 cnf('0.30.2.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(b2,multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),b2),b2))))) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.30.2.2',plain,
% 0.62/1.09 ( multiply(inverse(multiply(b2,b2)),multiply(b2,b2)) = multiply(X1,multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.31.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),multiply(inverse(multiply(X4,inverse(X5))),inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X5))),inverse(X6))),X3))),X6)))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.09 [pos('R.2.2','R')]).
% 0.62/1.09 cnf('0.31.0.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.31.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('R.2','L')]).
% 0.62/1.09 cnf('0.31.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.62/1.09 [weight('<168,30,2,[1,1,1,8]>')]).
% 0.62/1.09 cnf('0.31.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.31.1.0']),
% 0.62/1.09 [equation_12]).
% 0.62/1.09 cnf('0.31.2.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(b2),b2) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.31.2.2',plain,
% 0.62/1.09 ( multiply(inverse(multiply(b2,b2)),multiply(b2,b2)) = multiply(inverse(X1),X1) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.32.0.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),X2))),X4)))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.31.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1','L')]).
% 0.62/1.09 cnf('0.32.0.1',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.32.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('R.2','L')]).
% 0.62/1.09 cnf('0.32.1.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.62/1.09 [weight('<80,31,1,[1,0,0,2]>')]).
% 0.62/1.09 cnf('0.32.2.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.32.1.0']),
% 0.62/1.09 [equation_13]).
% 0.62/1.09 cnf('0.32.2.1',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(inverse(b2),b2) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.32.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.32.2.2',plain,
% 0.62/1.09 ( multiply(inverse(b2),b2) = multiply(inverse(X1),X1) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.32.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.33.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X4),X4))),X3) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.23.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.2.1','L')]).
% 0.62/1.09 cnf('0.33.0.1',plain,
% 0.62/1.09 ( X3 = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X4),X4))),X3) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.33.0.0','0.3.2.0',theory(equality)]),
% 0.62/1.09 [pos('L','L')]).
% 0.62/1.09 cnf('0.33.1.0',plain,
% 0.62/1.09 ( X3 = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X4),X4))),X3) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.62/1.09 [weight('<181,32,23,[0,0,0,7]>')]).
% 0.62/1.09 cnf('0.33.2.0',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X1) = X1 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_20]).
% 0.62/1.09 cnf('0.34.0.0',plain,
% 0.62/1.09 ( X1 = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),X1) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.33.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1','L')]).
% 0.62/1.09 cnf('0.34.1.0',plain,
% 0.62/1.09 ( X1 = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),X1) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.62/1.09 [weight('<181,33,32,[1,0,0,2]>')]).
% 0.62/1.09 cnf('0.34.2.0',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X3) = X3 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_21]).
% 0.62/1.09 cnf('0.35.0.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X5),X5))),X3)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.8.2.0','0.34.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1','L')]).
% 0.62/1.09 cnf('0.35.0.1',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 0.62/1.09 [pos('R.2','L')]).
% 0.62/1.09 cnf('0.35.1.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.62/1.09 [weight('<116,34,8,[0,0,0,2]>')]).
% 0.62/1.09 cnf('0.35.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.62/1.09 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.62/1.09 [u,rule_22]).
% 0.62/1.09 cnf('0.36.0.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X2) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.35.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1','L')]).
% 0.62/1.09 cnf('0.36.1.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X2) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2)) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.62/1.09 [weight('<164,35,32,[1,0,0,2]>')]).
% 0.62/1.09 cnf('0.36.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X3)) = multiply(inverse(X2),X3) ),
% 0.62/1.09 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_23]).
% 0.62/1.09 cnf('0.37.0.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(X1),inverse(X2))),X3))),X2))) = multiply(inverse(multiply(inverse(X4),X4)),X3) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.36.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2','L')]).
% 0.62/1.09 cnf('0.37.0.1',plain,
% 0.62/1.09 ( X3 = multiply(inverse(multiply(inverse(X4),X4)),X3) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.37.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.09 [pos('L','L')]).
% 0.62/1.09 cnf('0.37.1.0',plain,
% 0.62/1.09 ( X3 = multiply(inverse(multiply(inverse(X4),X4)),X3) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.62/1.09 [weight('<71,36,1,[1,0,0,6]>')]).
% 0.62/1.09 cnf('0.37.2.0',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = X2 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_24]).
% 0.62/1.09 cnf('0.43.0.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3 ),
% 0.62/1.09 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.62/1.09 cnf('0.43.0.1',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X1)) = X3 ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.43.0.0','0.35.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1.2.1','L')]).
% 0.62/1.09 cnf('0.43.1.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X1)) = X3 ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.62/1.09 [weight('<239,7,35,[0,0,0,0]>')]).
% 0.62/1.09 cnf('0.43.2.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X2))),X1)) = X2 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.62/1.09 [u,rule_30]).
% 0.62/1.09 cnf('0.45.0.0',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,X1)))))) = X3 ),
% 0.62/1.09 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 0.62/1.09 cnf('0.45.0.1',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X3,X1))))) = X3 ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.45.0.0','0.35.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1','L')]).
% 0.62/1.09 cnf('0.45.1.0',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X3,X1))))) = X3 ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.62/1.09 [weight('<239,24,35,[0,0,0,0]>')]).
% 0.62/1.09 cnf('0.45.2.0',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.62/1.09 [u,rule_32]).
% 0.62/1.09 cnf('0.48.0.0',plain,
% 0.62/1.09 ( X1 = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),X1))),X3)) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.43.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1.1.1','L')]).
% 0.62/1.09 cnf('0.48.1.0',plain,
% 0.62/1.09 ( X1 = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),X1))),X3)) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.62/1.09 [weight('<239,43,32,[1,0,0,3]>')]).
% 0.62/1.09 cnf('0.48.2.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),X3))),X2)) = X3 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_35]).
% 0.62/1.09 cnf('0.49.0.0',plain,
% 0.62/1.09 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),inverse(multiply(X1,X3))))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.45.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.1','L')]).
% 0.62/1.09 cnf('0.49.1.0',plain,
% 0.62/1.09 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),inverse(multiply(X1,X3))))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.62/1.09 [weight('<239,45,32,[1,0,0,1]>')]).
% 0.62/1.09 cnf('0.49.2.0',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,X2))))) = X3 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_36]).
% 0.62/1.09 cnf('0.61.0.0',plain,
% 0.62/1.09 ( inverse(X1) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.49.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1.2.1','L')]).
% 0.62/1.09 cnf('0.61.1.0',plain,
% 0.62/1.09 ( inverse(X1) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.62/1.09 [weight('<287,49,32,[1,0,0,11]>')]).
% 0.62/1.09 cnf('0.61.2.0',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X3))))) = inverse(X2) ),
% 0.62/1.09 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_48]).
% 0.62/1.09 cnf('0.62.0.0',plain,
% 0.62/1.09 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),X3))),X2)) = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X3),inverse(multiply(inverse(X5),X5))))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.61.2.0','0.48.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1.1.1','L')]).
% 0.62/1.09 cnf('0.62.0.1',plain,
% 0.62/1.09 ( X3 = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X3),inverse(multiply(inverse(X5),X5))))) ),
% 0.62/1.09 inference(reduction,[status(thm)],['0.62.0.0','0.48.2.0',theory(equality)]),
% 0.62/1.09 [pos('L','L')]).
% 0.62/1.09 cnf('0.62.1.0',plain,
% 0.62/1.09 ( X3 = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X3),inverse(multiply(inverse(X5),X5))))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.62/1.09 [weight('<239,61,48,[1,0,0,8]>')]).
% 0.62/1.09 cnf('0.62.2.0',plain,
% 0.62/1.09 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.62/1.09 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.62/1.09 [x,rule_49]).
% 0.62/1.09 cnf('0.63.0.0',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(X2,inverse(multiply(multiply(X2,inverse(X3)),X3))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.1.2.0','0.62.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1.1','L')]).
% 0.62/1.09 cnf('0.63.1.0',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(X2,inverse(multiply(multiply(X2,inverse(X3)),X3))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.62/1.09 [weight('<224,62,1,[0,0,0,4]>')]).
% 0.62/1.09 cnf('0.63.2.0',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(X2,inverse(multiply(multiply(X2,inverse(X3)),X3))) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.63.1.0']),
% 0.62/1.09 [equation_14]).
% 0.62/1.09 cnf('0.63.2.1',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(b2,inverse(multiply(multiply(b2,inverse(b2)),b2))) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.63.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.63.2.2',plain,
% 0.62/1.09 ( inverse(multiply(inverse(b2),b2)) = multiply(X1,inverse(multiply(multiply(X1,inverse(X2)),X2))) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.63.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.64.0.0',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.62.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1','L')]).
% 0.62/1.09 cnf('0.64.1.0',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.64.0.0']),
% 0.62/1.09 [weight('<255,62,32,[1,0,0,6]>')]).
% 0.62/1.09 cnf('0.64.2.0',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.64.1.0']),
% 0.62/1.09 [equation_15]).
% 0.62/1.09 cnf('0.64.2.1',plain,
% 0.62/1.09 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.64.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.64.2.2',plain,
% 0.62/1.09 ( inverse(multiply(inverse(b2),b2)) = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.64.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.65.0.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.62/1.09 inference(cp,[status(thm)],['0.62.2.0','0.37.2.0',theory(equality)]),
% 0.62/1.09 [pos('L.2.1','L')]).
% 0.62/1.09 cnf('0.65.1.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.62/1.09 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.62/1.09 [weight('<255,62,37,[1,0,0,6]>')]).
% 0.62/1.09 cnf('0.65.2.0',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.62/1.09 inference(activate,[status(thm)],['0.65.1.0']),
% 0.62/1.09 [equation_16]).
% 0.62/1.09 cnf('0.65.2.1',plain,
% 0.62/1.09 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(inverse(b2),b2)))) ),
% 0.62/1.09 inference(instr,[status(thm)],['0.65.2.0',theory(equality)])).
% 0.62/1.09 cnf('0.65.2.2',plain,
% 0.62/1.09 ( multiply(inverse(b2),b2) = multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X2),X2)))) ),
% 0.62/1.09 inference(instl,[status(thm)],['0.65.2.0',theory(equality)])).
% 0.62/1.09 cnf('1.0.0.0',conjecture,
% 0.62/1.09 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.62/1.09 file('/tmp/WALDMEISTER_15624_n018',conjecture_1)).
% 0.62/1.09 cnf('1.0.0.1',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(inverse(b2),b2)))),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.0','0.65.2.1',theory(equality)]),
% 0.62/1.09 [pos('L.1','L')]).
% 0.62/1.09 cnf('1.0.0.2',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))))),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.1','0.64.2.1',theory(equality)]),
% 0.62/1.09 [pos('L.1.2.1','L')]).
% 0.62/1.09 cnf('1.0.0.3',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(inverse(b2),b2)))))))),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.2','0.65.2.1',theory(equality)]),
% 0.62/1.09 [pos('L.1.2.1.2.1','L')]).
% 0.62/1.09 cnf('1.0.0.4',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))))))))),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.3','0.64.2.1',theory(equality)]),
% 0.62/1.09 [pos('L.1.2.1.2.1.2.1','L')]).
% 0.62/1.09 cnf('1.0.0.5',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(b2),b2))))))))),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.4','0.65.2.1',theory(equality)]),
% 0.62/1.09 [pos('L.1.2.1.2.1.2.1.1','L')]).
% 0.62/1.09 cnf('1.0.0.6',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(inverse(b2),b2),inverse(inverse(multiply(inverse(b2),b2)))))),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.5','0.63.2.2',theory(equality)]),
% 0.62/1.09 [pos('L.1.2.1.2.1','R')]).
% 0.62/1.09 cnf('1.0.0.7',plain,
% 0.62/1.09 ( multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.6','0.65.2.2',theory(equality)]),
% 0.62/1.09 [pos('L.1.2.1','R')]).
% 0.62/1.09 cnf('1.0.0.8',plain,
% 0.62/1.09 ( multiply(inverse(multiply(inverse(b2),b2)),a2) = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.7','0.64.2.2',theory(equality)]),
% 0.62/1.09 [pos('L.1','R')]).
% 0.62/1.09 cnf('1.0.0.9',plain,
% 0.62/1.09 ( a2 = a2 ),
% 0.62/1.09 inference(reduction,[status(thm)],['1.0.0.8','0.37.2.0',theory(equality)]),
% 0.62/1.09 [pos('L','L')]).
% 0.62/1.09 cnf('1.0.0.10',plain,
% 0.62/1.09 ( $true ),
% 0.62/1.09 inference(trivial,[status(thm)],['1.0.0.9',theory(equality)]),
% 0.62/1.09 [conjecture_1]).
% 0.62/1.09
% 0.62/1.09 Proved Goals:
% 0.62/1.09 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.62/1.09 1 goal was specified, which was proved.
% 0.62/1.09 % SZS output end CNFRefutation
% 0.62/1.09 #END OF PROOF
% 0.62/1.09
% 0.62/1.09 Problem WALDMEISTER_15624_n018
% 0.62/1.09 CPs.gen 6149
% 0.62/1.09 CPs.reexp 0
% 0.62/1.09 Select 304
% 0.62/1.09 R 49
% 0.62/1.09 E 16
% 0.62/1.09 vsize 6.5M
% 0.62/1.09 rss 3.7M
% 0.62/1.09 process.time 0.084s
% 0.62/1.09 wallclock.time 0.084s
% 0.62/1.09 status S
% 0.62/1.09
% 0.62/1.09
% 0.62/1.09 Waldmeister states: Goal proved.
% 0.62/1.09 % SZS status Unsatisfiable
%------------------------------------------------------------------------------