TSTP Solution File: GRP412-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP412-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.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 0.57s 1.01s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP412-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 06:20:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/1.01 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% 0.57/1.01 goal joined
% 0.57/1.01 % SZS status Unsatisfiable
% 0.57/1.01 #START OF PROOF
% 0.57/1.01 % SZS output start CNFRefutation
% 0.57/1.01 cnf('0.1.0.0',axiom,
% 0.57/1.01 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),X1))),X3))) ),
% 0.57/1.01 file('/tmp/WALDMEISTER_30248_n009')).
% 0.57/1.01 cnf('0.1.1.0',plain,
% 0.57/1.01 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),X1))),X3))) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/1.01 cnf('0.1.2.0',plain,
% 0.57/1.01 ( multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2))) = X3 ),
% 0.57/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/1.01 [x,rule_1]).
% 0.57/1.01 cnf('0.2.0.0',plain,
% 0.57/1.01 ( 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))) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.2.1.1.2.1','L')]).
% 0.57/1.01 cnf('0.2.1.0',plain,
% 0.57/1.01 ( 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))) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/1.01 [weight('<?,1,1,[0,0,0,10]>')]).
% 0.57/1.01 cnf('0.2.2.0',plain,
% 0.57/1.01 ( 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))) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.2.1.0']),
% 0.57/1.01 [equation_1]).
% 0.57/1.01 cnf('0.2.2.2',plain,
% 0.57/1.01 ( inverse(multiply(multiply(multiply(inverse(b1),b1),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(b1))),X3))),b1)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.3.0.0',plain,
% 0.57/1.01 ( X1 = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X3)))) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.2','L')]).
% 0.57/1.01 cnf('0.3.1.0',plain,
% 0.57/1.01 ( X1 = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X3)))) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/1.01 [weight('<379,2,1,[0,0,0,2]>')]).
% 0.57/1.01 cnf('0.3.2.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3 ),
% 0.57/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/1.01 [x,rule_2]).
% 0.57/1.01 cnf('0.4.0.0',plain,
% 0.57/1.01 ( 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))))) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.2.2','L')]).
% 0.57/1.01 cnf('0.4.1.0',plain,
% 0.57/1.01 ( 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))))) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/1.01 [weight('<671,3,2,[1,0,0,8]>')]).
% 0.57/1.01 cnf('0.4.2.0',plain,
% 0.57/1.01 ( 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) ),
% 0.57/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/1.01 [x,rule_3]).
% 0.57/1.01 cnf('0.5.0.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.2.2','L')]).
% 0.57/1.01 cnf('0.5.1.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/1.01 [weight('<728,4,1,[1,0,0,8]>')]).
% 0.57/1.01 cnf('0.5.2.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.5.1.0']),
% 0.57/1.01 [equation_2]).
% 0.57/1.01 cnf('0.5.2.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(b1,inverse(X3))),multiply(b1,X4)) ),
% 0.57/1.01 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.5.2.2',plain,
% 0.57/1.01 ( multiply(inverse(multiply(inverse(multiply(b1,inverse(b1))),inverse(X2))),multiply(inverse(multiply(b1,inverse(b1))),X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.6.0.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.57/1.01 [pos('L','L')]).
% 0.57/1.01 cnf('0.6.1.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/1.01 [weight('<360,5,5,[1,0,0,0]>')]).
% 0.57/1.01 cnf('0.6.2.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.6.1.0']),
% 0.57/1.01 [equation_3]).
% 0.57/1.01 cnf('0.6.2.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,X3)) ),
% 0.57/1.01 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.6.2.2',plain,
% 0.57/1.01 ( multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.7.0.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.1.1.2.1','L')]).
% 0.57/1.01 cnf('0.7.0.1',plain,
% 0.57/1.01 ( X3 = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.57/1.01 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.57/1.01 [pos('L','L')]).
% 0.57/1.01 cnf('0.7.1.0',plain,
% 0.57/1.01 ( X3 = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.57/1.01 [weight('<379,6,2,[0,0,0,8]>')]).
% 0.57/1.01 cnf('0.7.2.0',plain,
% 0.57/1.01 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3 ),
% 0.57/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/1.01 [x,rule_4]).
% 0.57/1.01 cnf('0.8.0.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.1.1.2','L')]).
% 0.57/1.01 cnf('0.8.0.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X4)),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.57/1.01 inference(reduction,[status(thm)],['0.8.0.0','0.7.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.1.1.2','L')]).
% 0.57/1.01 cnf('0.8.1.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X4)),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.57/1.01 [weight('<288,7,6,[0,0,0,4]>')]).
% 0.57/1.01 cnf('0.8.2.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.8.1.0']),
% 0.57/1.01 [equation_4]).
% 0.57/1.01 cnf('0.8.2.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) ),
% 0.57/1.01 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.8.2.2',plain,
% 0.57/1.01 ( multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.20.0.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.1','L')]).
% 0.57/1.01 cnf('0.20.1.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.57/1.01 [weight('<783,8,7,[1,0,0,1]>')]).
% 0.57/1.01 cnf('0.20.2.0',plain,
% 0.57/1.01 ( 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)) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.20.1.0']),
% 0.57/1.01 [equation_8]).
% 0.57/1.01 cnf('0.20.2.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(b1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,b1)))),X3)) ),
% 0.57/1.01 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.20.2.2',plain,
% 0.57/1.01 ( multiply(inverse(multiply(b1,X2)),multiply(b1,X4)) = multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X1)))),X4)) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.23.0.0',plain,
% 0.57/1.01 ( 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)))) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.57/1.01 [pos('L.2.2.1.1','L')]).
% 0.57/1.01 cnf('0.23.1.0',plain,
% 0.57/1.01 ( 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)))) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.57/1.01 [weight('<960,3,1,[1,0,0,10]>')]).
% 0.57/1.01 cnf('0.23.2.0',plain,
% 0.57/1.01 ( 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)))) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.23.1.0']),
% 0.57/1.01 [equation_10]).
% 0.57/1.01 cnf('0.23.2.1',plain,
% 0.57/1.01 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,inverse(multiply(X3,X2)))) ),
% 0.57/1.01 inference(instr,[status(thm)],['0.23.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.23.2.2',plain,
% 0.57/1.01 ( multiply(multiply(multiply(inverse(b1),b1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(b1))),X3))),b1) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,X2)))) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.23.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.30.0.0',plain,
% 0.57/1.01 ( 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))))) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.20.2.0','0.23.2.0',theory(equality)]),
% 0.57/1.01 [pos('R.2','L')]).
% 0.57/1.01 cnf('0.30.1.0',plain,
% 0.57/1.01 ( 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))))) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.57/1.01 [weight('<783,23,20,[0,0,1,2]>')]).
% 0.57/1.01 cnf('0.30.2.0',plain,
% 0.57/1.01 ( 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))))) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.30.1.0']),
% 0.57/1.01 [equation_11]).
% 0.57/1.01 cnf('0.30.2.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(b1,multiply(inverse(multiply(b1,inverse(b1))),multiply(b1,inverse(multiply(multiply(multiply(inverse(b1),b1),b1),b1))))) ),
% 0.57/1.01 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.30.2.2',plain,
% 0.57/1.01 ( multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(X1,multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.31.0.0',plain,
% 0.57/1.01 ( 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)))) ),
% 0.57/1.01 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 0.57/1.01 [pos('R.2.2','R')]).
% 0.57/1.01 cnf('0.31.0.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.57/1.01 inference(reduction,[status(thm)],['0.31.0.0','0.1.2.0',theory(equality)]),
% 0.57/1.01 [pos('R.2','L')]).
% 0.57/1.01 cnf('0.31.1.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.57/1.01 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.57/1.01 [weight('<168,30,2,[1,1,1,8]>')]).
% 0.57/1.01 cnf('0.31.2.0',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.57/1.01 inference(activate,[status(thm)],['0.31.1.0']),
% 0.57/1.01 [equation_12]).
% 0.57/1.01 cnf('0.31.2.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(b1),b1) ),
% 0.57/1.01 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.57/1.01 cnf('0.31.2.2',plain,
% 0.57/1.01 ( multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(inverse(X1),X1) ),
% 0.57/1.01 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.57/1.01 cnf('1.0.0.0',conjecture,
% 0.57/1.01 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.57/1.01 file('/tmp/WALDMEISTER_30248_n009',conjecture_1)).
% 0.57/1.01 cnf('1.0.0.1',plain,
% 0.57/1.01 ( multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(inverse(b1),b1) ),
% 0.57/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.31.2.2',theory(equality)]),
% 0.57/1.01 [pos('L','R')]).
% 0.57/1.01 cnf('1.0.0.2',plain,
% 0.57/1.01 ( multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) ),
% 0.57/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.31.2.2',theory(equality)]),
% 0.57/1.01 [pos('R','R')]).
% 0.57/1.01 cnf('1.0.0.3',plain,
% 0.57/1.01 ( $true ),
% 0.57/1.01 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.57/1.01 [conjecture_1]).
% 0.57/1.01
% 0.57/1.01 Proved Goals:
% 0.57/1.01 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% 0.57/1.01 1 goal was specified, which was proved.
% 0.57/1.01 % SZS output end CNFRefutation
% 0.57/1.01 #END OF PROOF
% 0.57/1.01
% 0.57/1.01 Problem WALDMEISTER_30248_n009
% 0.57/1.01 CPs.gen 3444
% 0.57/1.01 CPs.reexp 0
% 0.57/1.01 Select 167
% 0.57/1.01 R 19
% 0.57/1.01 E 12
% 0.57/1.01 vsize 6.5M
% 0.57/1.01 rss 3.7M
% 0.57/1.01 process.time 0.036s
% 0.57/1.01 wallclock.time 0.036s
% 0.57/1.01 status S
% 0.57/1.01
% 0.57/1.01
% 0.57/1.01 Waldmeister states: Goal proved.
% 0.57/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------