TSTP Solution File: GRP509-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP509-1 : 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 12:26:43 EDT 2022
% Result : Unsatisfiable 0.58s 0.95s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n009.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 : Tue Jun 14 08:03:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.94 ********************************************************************************
% 0.58/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.94 * |/ | \/ | *
% 0.58/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.94 * A. Jaeger and B. Loechner | | *
% 0.58/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.94 ********************************************************************************
% 0.58/0.94
% 0.58/0.94
% 0.58/0.94 Goals:
% 0.58/0.94 ------
% 0.58/0.94
% 0.58/0.94 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.58/0.94
% 0.58/0.94 Detected structure: Orkus
% 0.58/0.94 ********************************************************************************
% 0.58/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.94 ********************************************************************************
% 0.58/0.94
% 0.58/0.95 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(b1,inverse(b1))
% 0.58/0.95 goal joined
% 0.58/0.95 % SZS status Unsatisfiable
% 0.58/0.95 #START OF PROOF
% 0.58/0.95 % SZS output start CNFRefutation
% 0.58/0.95 cnf('0.1.0.0',axiom,
% 0.58/0.95 ( X1 = multiply(multiply(multiply(X2,X1),X3),inverse(multiply(X2,X3))) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_31367_n009')).
% 0.58/0.95 cnf('0.1.1.0',plain,
% 0.58/0.95 ( X1 = multiply(multiply(multiply(X2,X1),X3),inverse(multiply(X2,X3))) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.1.2.0',plain,
% 0.58/0.95 ( multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3))) = X2 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_1]).
% 0.58/0.95 cnf('0.2.0.0',plain,
% 0.58/0.95 ( X1 = multiply(X2,inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X1))))) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.2.1.0',plain,
% 0.58/0.95 ( X1 = multiply(X2,inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X1))))) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.95 [weight('<?,1,1,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.2.2.0',plain,
% 0.58/0.95 ( multiply(X1,inverse(multiply(multiply(X2,X1),inverse(multiply(X2,X3))))) = X3 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_2]).
% 0.58/0.95 cnf('0.3.0.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,X2)) = multiply(multiply(X3,X4),inverse(multiply(multiply(multiply(X1,X3),X2),X4))) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1.1','L')]).
% 0.58/0.95 cnf('0.3.1.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,X2)) = multiply(multiply(X3,X4),inverse(multiply(multiply(multiply(X1,X3),X2),X4))) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.95 [weight('<220,1,1,[0,0,0,2]>')]).
% 0.58/0.95 cnf('0.3.2.0',plain,
% 0.58/0.95 ( multiply(multiply(X1,X2),inverse(multiply(multiply(multiply(X3,X1),X4),X2))) = inverse(multiply(X3,X4)) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_3]).
% 0.58/0.95 cnf('0.4.0.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,X2)) = multiply(multiply(X3,inverse(multiply(X1,X2))),inverse(X3)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2.1','L')]).
% 0.58/0.95 cnf('0.4.1.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,X2)) = multiply(multiply(X3,inverse(multiply(X1,X2))),inverse(X3)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.95 [weight('<139,3,1,[1,0,0,5]>')]).
% 0.58/0.95 cnf('0.4.2.0',plain,
% 0.58/0.95 ( multiply(multiply(X1,inverse(multiply(X2,X3))),inverse(X1)) = inverse(multiply(X2,X3)) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_4]).
% 0.58/0.95 cnf('0.5.0.0',plain,
% 0.58/0.95 ( inverse(multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3)))) = multiply(multiply(X4,inverse(X2)),inverse(X4)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1.2.1','L')]).
% 0.58/0.95 cnf('0.5.0.1',plain,
% 0.58/0.95 ( inverse(X2) = multiply(multiply(X4,inverse(X2)),inverse(X4)) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.5.1.0',plain,
% 0.58/0.95 ( inverse(X2) = multiply(multiply(X4,inverse(X2)),inverse(X4)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.58/0.95 [weight('<79,4,1,[1,0,0,4]>')]).
% 0.58/0.95 cnf('0.5.2.0',plain,
% 0.58/0.95 ( multiply(multiply(X1,inverse(X2)),inverse(X1)) = inverse(X2) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_5]).
% 0.58/0.95 cnf('0.6.0.0',plain,
% 0.58/0.95 ( inverse(X1) = multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.6.1.0',plain,
% 0.58/0.95 ( inverse(X1) = multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/0.95 [weight('<98,5,1,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.6.2.0',plain,
% 0.58/0.95 ( multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))) = inverse(X1) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_6]).
% 0.58/0.95 cnf('0.7.0.0',plain,
% 0.58/0.95 ( inverse(X1) = multiply(inverse(X2),inverse(multiply(X1,inverse(X2)))) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.7.1.0',plain,
% 0.58/0.95 ( inverse(X1) = multiply(inverse(X2),inverse(multiply(X1,inverse(X2)))) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/0.95 [weight('<98,5,5,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.7.2.0',plain,
% 0.58/0.95 ( multiply(inverse(X1),inverse(multiply(X2,inverse(X1)))) = inverse(X2) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_7]).
% 0.58/0.95 cnf('0.8.0.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,inverse(multiply(X1,X2)))) = X2 ),
% 0.58/0.95 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.8.1.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,inverse(multiply(X1,X2)))) = X2 ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.95 [weight('<71,7,2,[1,0,0,0]>')]).
% 0.58/0.95 cnf('0.8.2.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,inverse(multiply(X1,X2)))) = X2 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_8]).
% 0.58/0.95 cnf('0.9.0.0',plain,
% 0.58/0.95 ( inverse(X1) = inverse(inverse(inverse(X1))) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.9.1.0',plain,
% 0.58/0.95 ( inverse(X1) = inverse(inverse(inverse(X1))) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/0.95 [weight('<34,8,7,[1,0,0,1]>')]).
% 0.58/0.95 cnf('0.9.2.0',plain,
% 0.58/0.95 ( inverse(inverse(inverse(X1))) = inverse(X1) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_9]).
% 0.58/0.95 cnf('0.10.0.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,inverse(multiply(X1,X2)))) = inverse(inverse(X2)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.9.2.0','0.8.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1.1','L')]).
% 0.58/0.95 cnf('0.10.0.1',plain,
% 0.58/0.95 ( X2 = inverse(inverse(X2)) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.10.0.0','0.8.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.10.1.0',plain,
% 0.58/0.95 ( X2 = inverse(inverse(X2)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.58/0.95 [weight('<19,9,8,[1,0,0,2]>')]).
% 0.58/0.95 cnf('0.10.2.0',plain,
% 0.58/0.95 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_10]).
% 0.58/0.95 cnf('0.11.0.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,inverse(multiply(X1,X2)))) = multiply(multiply(X3,X2),inverse(X3)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1.2','L')]).
% 0.58/0.95 cnf('0.11.0.1',plain,
% 0.58/0.95 ( X2 = multiply(multiply(X3,X2),inverse(X3)) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.11.0.0','0.8.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.11.1.0',plain,
% 0.58/0.95 ( X2 = multiply(multiply(X3,X2),inverse(X3)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.58/0.95 [weight('<55,8,5,[0,0,0,3]>')]).
% 0.58/0.95 cnf('0.11.2.0',plain,
% 0.58/0.95 ( multiply(multiply(X1,X2),inverse(X1)) = X2 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_11]).
% 0.58/0.95 cnf('0.12.0.0',plain,
% 0.58/0.95 ( X1 = multiply(multiply(inverse(X2),X1),X2) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.11.2.0','0.10.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2','L')]).
% 0.58/0.95 cnf('0.12.1.0',plain,
% 0.58/0.95 ( X1 = multiply(multiply(inverse(X2),X1),X2) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/0.95 [weight('<55,11,10,[1,0,0,4]>')]).
% 0.58/0.95 cnf('0.12.2.0',plain,
% 0.58/0.95 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_12]).
% 0.58/0.95 cnf('0.13.0.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,X2)) = multiply(inverse(X1),inverse(X2)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.7.2.0','0.11.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2.1','L')]).
% 0.58/0.95 cnf('0.13.1.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,X2)) = multiply(inverse(X1),inverse(X2)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.58/0.95 [weight('<59,11,7,[0,0,0,4]>')]).
% 0.58/0.95 cnf('0.13.2.0',plain,
% 0.58/0.95 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X1,X2)) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_13]).
% 0.58/0.95 cnf('0.14.0.0',plain,
% 0.58/0.95 ( X1 = inverse(inverse(multiply(X2,multiply(inverse(X2),X1)))) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.8.2.0','0.13.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.14.0.1',plain,
% 0.58/0.95 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.14.0.0','0.10.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.14.1.0',plain,
% 0.58/0.95 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.58/0.95 [weight('<55,13,8,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.14.2.0',plain,
% 0.58/0.95 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_14]).
% 0.58/0.95 cnf('0.15.0.0',plain,
% 0.58/0.95 ( multiply(inverse(inverse(X1)),X2) = multiply(X2,X1) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.12.2.0','0.14.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.15.0.1',plain,
% 0.58/0.95 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.15.0.0','0.10.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.15.1.0',plain,
% 0.58/0.95 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.58/0.95 [weight('<48,14,12,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.15.2.0',plain,
% 0.58/0.95 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.95 inference(activate,[status(thm)],['0.15.1.0']),
% 0.58/0.95 [equation_1]).
% 0.58/0.95 cnf('0.23.0.0',plain,
% 0.58/0.95 ( multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))) = inverse(X1) ),
% 0.58/0.95 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.58/0.95 cnf('0.23.0.1',plain,
% 0.58/0.95 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(X1) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.23.0.0','0.13.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.23.1.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(X1) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.58/0.95 [weight('<79,6,13,[0,0,0,0]>')]).
% 0.58/0.95 cnf('0.23.2.0',plain,
% 0.58/0.95 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(X1) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_22]).
% 0.58/0.95 cnf('0.24.0.0',plain,
% 0.58/0.95 ( multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.10.2.0','0.23.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.24.0.1',plain,
% 0.58/0.95 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.24.0.0','0.10.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.24.1.0',plain,
% 0.58/0.95 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.58/0.95 [weight('<55,23,10,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.24.2.0',plain,
% 0.58/0.95 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_23]).
% 0.58/0.95 cnf('0.26.0.0',plain,
% 0.58/0.95 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.14.2.0','0.24.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2','L')]).
% 0.58/0.95 cnf('0.26.1.0',plain,
% 0.58/0.95 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.58/0.95 [weight('<80,24,14,[0,0,0,2]>')]).
% 0.58/0.95 cnf('0.26.2.0',plain,
% 0.58/0.95 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.58/0.95 inference(activate,[status(thm)],['0.26.1.0']),
% 0.58/0.95 [equation_2]).
% 0.58/0.95 cnf('0.26.2.1',plain,
% 0.58/0.95 ( multiply(X1,inverse(X1)) = multiply(b1,inverse(b1)) ),
% 0.58/0.95 inference(instr,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.58/0.95 cnf('0.26.2.2',plain,
% 0.58/0.95 ( multiply(b1,inverse(b1)) = multiply(X1,inverse(X1)) ),
% 0.58/0.95 inference(instl,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.58/0.95 cnf('1.0.0.0',conjecture,
% 0.58/0.95 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_31367_n009',conjecture_1)).
% 0.58/0.95 cnf('1.0.0.1',plain,
% 0.58/0.95 ( multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
% 0.58/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.15.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('1.0.0.2',plain,
% 0.58/0.95 ( multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)) ),
% 0.58/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.15.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('1.0.0.3',plain,
% 0.58/0.95 ( multiply(b1,inverse(b1)) = multiply(b1,inverse(b1)) ),
% 0.58/0.95 inference(reduction,[status(thm)],['1.0.0.2','0.26.2.1',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('1.0.0.4',plain,
% 0.58/0.95 ( $true ),
% 0.58/0.95 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.58/0.95 [conjecture_1]).
% 0.58/0.95
% 0.58/0.95 Proved Goals:
% 0.58/0.95 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(b1,inverse(b1)) = multiply(b1,inverse(b1))
% 0.58/0.95 1 goal was specified, which was proved.
% 0.58/0.95 % SZS output end CNFRefutation
% 0.58/0.95 #END OF PROOF
% 0.58/0.95
% 0.58/0.95 Problem WALDMEISTER_31367_n009
% 0.58/0.95 CPs.gen 394
% 0.58/0.95 CPs.reexp 0
% 0.58/0.95 Select 77
% 0.58/0.95 R 24
% 0.58/0.95 E 2
% 0.58/0.95 vsize 6.4M
% 0.58/0.95 rss 3.7M
% 0.58/0.95 process.time 0.004s
% 0.58/0.95 wallclock.time 0.004s
% 0.58/0.95 status S
% 0.58/0.95
% 0.58/0.95
% 0.58/0.95 Waldmeister states: Goal proved.
% 0.58/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------