TSTP Solution File: GRP434-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP434-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 12:26:15 EDT 2022
% Result : Unsatisfiable 0.60s 1.01s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP434-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 21:47:20 EDT 2022
% 0.12/0.33 % 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
% 0.60/1.01 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.60/1.01 goal joined
% 0.60/1.01 % SZS status Unsatisfiable
% 0.60/1.01 #START OF PROOF
% 0.60/1.01 % SZS output start CNFRefutation
% 0.60/1.01 cnf('0.1.0.0',axiom,
% 0.60/1.01 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X1)),X2),X3),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_4668_n020')).
% 0.60/1.01 cnf('0.1.1.0',plain,
% 0.60/1.01 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X1)),X2),X3),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.01 cnf('0.1.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2),multiply(X4,inverse(X4)))) = X3 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_1]).
% 0.60/1.01 cnf('0.2.0.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X3,X4),X2)),X3)),X4),multiply(X5,inverse(X5)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1.1','L')]).
% 0.60/1.01 cnf('0.2.1.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X3,X4),X2)),X3)),X4),multiply(X5,inverse(X5)))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.01 [weight('<?,1,1,[0,0,0,4]>')]).
% 0.60/1.01 cnf('0.2.2.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X3,X4),X2)),X3)),X4),multiply(X5,inverse(X5)))) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.2.1.0']),
% 0.60/1.01 [equation_1]).
% 0.60/1.01 cnf('0.2.2.1',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(b2,multiply(inverse(multiply(multiply(b2,b2),b2)),b2)),b2),multiply(b2,inverse(b2)))) ),
% 0.60/1.01 inference(instr,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.2.2.2',plain,
% 0.60/1.01 ( multiply(b2,inverse(b2)) = inverse(multiply(multiply(multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X1)),X2)),X3),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.3.0.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.2.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','R')]).
% 0.60/1.01 cnf('0.3.1.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.01 [weight('<80,2,2,[1,1,1,0]>')]).
% 0.60/1.01 cnf('0.3.2.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.3.1.0']),
% 0.60/1.01 [equation_2]).
% 0.60/1.01 cnf('0.3.2.1',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(b2,inverse(b2)) ),
% 0.60/1.01 inference(instr,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.3.2.2',plain,
% 0.60/1.01 ( multiply(b2,inverse(b2)) = multiply(X1,inverse(X1)) ),
% 0.60/1.01 inference(instl,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.4.0.0',plain,
% 0.60/1.01 ( inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X3,inverse(X3))),X1),X2),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1.1.1','L')]).
% 0.60/1.01 cnf('0.4.1.0',plain,
% 0.60/1.01 ( inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X3,inverse(X3))),X1),X2),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/1.01 [weight('<319,3,1,[0,0,0,5]>')]).
% 0.60/1.01 cnf('0.4.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),X3),multiply(X4,inverse(X4)))) = inverse(multiply(X2,X3)) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_2]).
% 0.60/1.01 cnf('0.5.0.0',plain,
% 0.60/1.01 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X1)),X3),inverse(X3)),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1.1.1.1','L')]).
% 0.60/1.01 cnf('0.5.1.0',plain,
% 0.60/1.01 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X1)),X3),inverse(X3)),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/1.01 [weight('<379,3,1,[0,0,0,6]>')]).
% 0.60/1.01 cnf('0.5.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(X1)),X2)),X3),inverse(X3)),multiply(X4,inverse(X4)))) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_3]).
% 0.60/1.01 cnf('0.6.0.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(X4,inverse(X4)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','R')]).
% 0.60/1.01 cnf('0.6.1.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(X4,inverse(X4)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.01 [weight('<399,4,2,[1,0,1,0]>')]).
% 0.60/1.01 cnf('0.6.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(X4,inverse(X4)) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.6.1.0']),
% 0.60/1.01 [equation_3]).
% 0.60/1.01 cnf('0.6.2.1',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(b2,inverse(b2)) ),
% 0.60/1.01 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.6.2.2',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(b2,b2),inverse(multiply(b2,inverse(b2))))),b2),b2)) = multiply(X1,inverse(X1)) ),
% 0.60/1.01 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.7.0.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1.1','L')]).
% 0.60/1.01 cnf('0.7.1.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.60/1.01 [weight('<255,6,3,[1,0,0,4]>')]).
% 0.60/1.01 cnf('0.7.2.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.7.1.0']),
% 0.60/1.01 [equation_4]).
% 0.60/1.01 cnf('0.7.2.1',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(b2,inverse(b2))),b2),inverse(b2))) ),
% 0.60/1.01 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.7.2.2',plain,
% 0.60/1.01 ( multiply(b2,inverse(b2)) = inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),inverse(X2))) ),
% 0.60/1.01 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.9.0.0',plain,
% 0.60/1.01 ( inverse(X1) = inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))),X1),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1.1','R')]).
% 0.60/1.01 cnf('0.9.1.0',plain,
% 0.60/1.01 ( inverse(X1) = inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))),X1),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.60/1.01 [weight('<398,7,1,[0,1,0,4]>')]).
% 0.60/1.01 cnf('0.9.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X4,inverse(X4)))) = inverse(X3) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_4]).
% 0.60/1.01 cnf('0.10.0.0',plain,
% 0.60/1.01 ( inverse(X1) = inverse(multiply(multiply(multiply(X2,inverse(X2)),X1),multiply(X3,inverse(X3)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1','L')]).
% 0.60/1.01 cnf('0.10.1.0',plain,
% 0.60/1.01 ( inverse(X1) = inverse(multiply(multiply(multiply(X2,inverse(X2)),X1),multiply(X3,inverse(X3)))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.60/1.01 [weight('<194,9,3,[1,0,0,3]>')]).
% 0.60/1.01 cnf('0.10.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_5]).
% 0.60/1.01 cnf('0.12.0.0',plain,
% 0.60/1.01 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.60/1.01 inference(cp,[status(thm)],['0.10.2.0','0.5.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.12.1.0',plain,
% 0.60/1.01 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.60/1.01 [weight('<131,10,5,[1,0,0,0]>')]).
% 0.60/1.01 cnf('0.12.2.0',plain,
% 0.60/1.01 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_7]).
% 0.60/1.01 cnf('0.13.0.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3))))))))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1','L')]).
% 0.60/1.01 cnf('0.13.0.1',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(X3,inverse(X3)))) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.13.0.0','0.12.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.1','L')]).
% 0.60/1.01 cnf('0.13.1.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(X3,inverse(X3)))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.60/1.01 [weight('<120,12,9,[1,0,0,3]>')]).
% 0.60/1.01 cnf('0.13.2.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(X2,inverse(X2)))) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.13.1.0']),
% 0.60/1.01 [equation_6]).
% 0.60/1.01 cnf('0.13.2.1',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(b2,inverse(b2)))) ),
% 0.60/1.01 inference(instr,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.13.2.2',plain,
% 0.60/1.01 ( multiply(b2,inverse(b2)) = inverse(inverse(multiply(X1,inverse(X1)))) ),
% 0.60/1.01 inference(instl,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.14.0.0',plain,
% 0.60/1.01 ( inverse(X1) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3))),X1),multiply(X4,inverse(X4)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.10.2.0','0.13.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1.2','R')]).
% 0.60/1.01 cnf('0.14.0.1',plain,
% 0.60/1.01 ( inverse(X1) = inverse(multiply(multiply(X3,inverse(X3)),X1)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.14.0.0','0.4.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.14.1.0',plain,
% 0.60/1.01 ( inverse(X1) = inverse(multiply(multiply(X3,inverse(X3)),X1)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.60/1.01 [weight('<79,13,10,[0,1,0,5]>')]).
% 0.60/1.01 cnf('0.14.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(X1,inverse(X1)),X2)) = inverse(X2) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_8]).
% 0.60/1.01 cnf('0.15.0.0',plain,
% 0.60/1.01 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.60/1.01 cnf('0.15.0.1',plain,
% 0.60/1.01 ( inverse(inverse(inverse(inverse(X2)))) = X2 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1','L')]).
% 0.60/1.01 cnf('0.15.1.0',plain,
% 0.60/1.01 ( inverse(inverse(inverse(inverse(X2)))) = X2 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.60/1.01 [weight('<41,12,14,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.15.2.0',plain,
% 0.60/1.01 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_9]).
% 0.60/1.01 cnf('0.16.0.0',plain,
% 0.60/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = inverse(inverse(inverse(inverse(X2)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1','L')]).
% 0.60/1.01 cnf('0.16.0.1',plain,
% 0.60/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.16.0.0','0.15.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.16.1.0',plain,
% 0.60/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.60/1.01 [weight('<55,15,14,[1,0,0,3]>')]).
% 0.60/1.01 cnf('0.16.2.0',plain,
% 0.60/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_10]).
% 0.60/1.01 cnf('0.18.0.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.60/1.01 cnf('0.18.0.1',plain,
% 0.60/1.01 ( inverse(multiply(X2,multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.18.0.0','0.16.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1','L')]).
% 0.60/1.01 cnf('0.18.1.0',plain,
% 0.60/1.01 ( inverse(multiply(X2,multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.60/1.01 [weight('<79,10,16,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.18.2.0',plain,
% 0.60/1.01 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(X1) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_12]).
% 0.60/1.01 cnf('0.19.0.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(inverse(inverse(X1)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.15.2.0','0.18.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1','L')]).
% 0.60/1.01 cnf('0.19.0.1',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.19.0.0','0.15.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.19.1.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.60/1.01 [weight('<55,18,15,[0,0,0,3]>')]).
% 0.60/1.01 cnf('0.19.2.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_13]).
% 0.60/1.01 cnf('0.27.0.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2),multiply(X4,inverse(X4)))) = X3 ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.60/1.01 cnf('0.27.0.1',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2)) = X3 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.27.0.0','0.18.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.27.1.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2)) = X3 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.60/1.01 [weight('<155,1,18,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.27.2.0',plain,
% 0.60/1.01 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2)) = X3 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_19]).
% 0.60/1.01 cnf('0.28.0.0',plain,
% 0.60/1.01 ( X1 = inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X3,inverse(X3))),X2)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.27.2.0','0.16.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1.1.1','L')]).
% 0.60/1.01 cnf('0.28.0.1',plain,
% 0.60/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,X1)),X2)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.28.0.0','0.19.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.1.1','L')]).
% 0.60/1.01 cnf('0.28.1.0',plain,
% 0.60/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,X1)),X2)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.60/1.01 [weight('<71,27,16,[1,0,0,5]>')]).
% 0.60/1.01 cnf('0.28.2.0',plain,
% 0.60/1.01 ( inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_20]).
% 0.60/1.01 cnf('0.29.0.0',plain,
% 0.60/1.01 ( X1 = inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.28.2.0','0.16.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1.1','L')]).
% 0.60/1.01 cnf('0.29.0.1',plain,
% 0.60/1.01 ( X1 = inverse(inverse(X1)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.29.0.0','0.19.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.1','L')]).
% 0.60/1.01 cnf('0.29.1.0',plain,
% 0.60/1.01 ( X1 = inverse(inverse(X1)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.60/1.01 [weight('<19,28,16,[1,0,0,3]>')]).
% 0.60/1.01 cnf('0.29.2.0',plain,
% 0.60/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_21]).
% 0.60/1.01 cnf('0.30.0.0',plain,
% 0.60/1.01 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.16.2.0','0.29.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.2','L')]).
% 0.60/1.01 cnf('0.30.1.0',plain,
% 0.60/1.01 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.60/1.01 [weight('<55,29,16,[0,0,0,3]>')]).
% 0.60/1.01 cnf('0.30.2.0',plain,
% 0.60/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_22]).
% 0.60/1.01 cnf('1.0.0.0',conjecture,
% 0.60/1.01 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.60/1.01 file('/tmp/WALDMEISTER_4668_n020',conjecture_1)).
% 0.60/1.01 cnf('1.0.0.1',plain,
% 0.60/1.01 ( a2 = a2 ),
% 0.60/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.30.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('1.0.0.2',plain,
% 0.60/1.01 ( $true ),
% 0.60/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/1.01 [conjecture_1]).
% 0.60/1.01
% 0.60/1.01 Proved Goals:
% 0.60/1.01 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.60/1.01 1 goal was specified, which was proved.
% 0.60/1.01 % SZS output end CNFRefutation
% 0.60/1.01 #END OF PROOF
% 0.60/1.01
% 0.60/1.01 Problem WALDMEISTER_4668_n020
% 0.60/1.01 CPs.gen 910
% 0.60/1.01 CPs.reexp 0
% 0.60/1.01 Select 108
% 0.60/1.01 R 22
% 0.60/1.01 E 8
% 0.60/1.01 vsize 6.5M
% 0.60/1.01 rss 3.7M
% 0.60/1.01 process.time 0.007s
% 0.60/1.01 wallclock.time 0.007s
% 0.60/1.01 status S
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Waldmeister states: Goal proved.
% 0.60/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------