%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP474-1 : 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 12:26:24 EDT 2022
% Result : Unsatisfiable 0.58s 1.04s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP474-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % 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 : Mon Jun 13 04:10:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.95 * |/ | \/ | *
% 0.55/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.95 * A. Jaeger and B. Loechner | | *
% 0.55/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Goals:
% 0.55/0.95 ------
% 0.55/0.95
% 0.55/0.95 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.55/0.95
% 0.55/0.95 Detected structure: Orkus
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.58/1.04 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.58/1.04 goal joined
% 0.58/1.04 % SZS status Unsatisfiable
% 0.58/1.04 #START OF PROOF
% 0.58/1.04 % SZS output start CNFRefutation
% 0.58/1.04 cnf('0.1.0.0',axiom,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(X2,X1)),divide(divide(X3,X4),X2)),divide(X4,X3)) ),
% 0.58/1.04 file('/tmp/WALDMEISTER_30092_n009')).
% 0.58/1.04 cnf('0.1.1.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(X2,X1)),divide(divide(X3,X4),X2)),divide(X4,X3)) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.04 cnf('0.1.2.0',plain,
% 0.58/1.04 ( divide(divide(inverse(divide(X1,X2)),divide(divide(X3,X4),X1)),divide(X4,X3)) = X2 ),
% 0.58/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_1]).
% 0.58/1.04 cnf('0.2.0.0',axiom,
% 0.58/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.58/1.04 file('/tmp/WALDMEISTER_30092_n009')).
% 0.58/1.04 cnf('0.2.1.0',plain,
% 0.58/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/1.04 cnf('0.2.2.0',plain,
% 0.58/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.58/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.04 [u,rule_2]).
% 0.58/1.04 cnf('0.3.0.0',plain,
% 0.58/1.04 ( inverse(X1) = divide(divide(inverse(multiply(X2,X1)),divide(divide(X3,X4),X2)),divide(X4,X3)) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.1.1.1','L')]).
% 0.58/1.04 cnf('0.3.1.0',plain,
% 0.58/1.04 ( inverse(X1) = divide(divide(inverse(multiply(X2,X1)),divide(divide(X3,X4),X2)),divide(X4,X3)) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.04 [weight('<254,2,1,[0,0,0,3]>')]).
% 0.58/1.04 cnf('0.3.2.0',plain,
% 0.58/1.04 ( divide(divide(inverse(multiply(X1,X2)),divide(divide(X3,X4),X1)),divide(X4,X3)) = inverse(X2) ),
% 0.58/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_3]).
% 0.58/1.04 cnf('0.5.0.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(X2,X1)),divide(multiply(X3,X4),X2)),divide(inverse(X4),X3)) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.1.2.1','L')]).
% 0.58/1.04 cnf('0.5.1.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(X2,X1)),divide(multiply(X3,X4),X2)),divide(inverse(X4),X3)) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/1.04 [weight('<271,2,1,[0,0,0,7]>')]).
% 0.58/1.04 cnf('0.5.2.0',plain,
% 0.58/1.04 ( divide(divide(inverse(divide(X1,X2)),divide(multiply(X3,X4),X1)),divide(inverse(X4),X3)) = X2 ),
% 0.58/1.04 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_5]).
% 0.58/1.04 cnf('0.6.0.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(X2,X1)),divide(divide(inverse(X3),X4),X2)),multiply(X4,X3)) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.2','L')]).
% 0.58/1.04 cnf('0.6.1.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(X2,X1)),divide(divide(inverse(X3),X4),X2)),multiply(X4,X3)) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/1.04 [weight('<271,2,1,[0,0,0,11]>')]).
% 0.58/1.04 cnf('0.6.2.0',plain,
% 0.58/1.04 ( divide(divide(inverse(divide(X1,X2)),divide(divide(inverse(X3),X4),X1)),multiply(X4,X3)) = X2 ),
% 0.58/1.04 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_6]).
% 0.58/1.04 cnf('0.18.0.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(divide(X2,X3),X1)),inverse(X4)),divide(divide(divide(X3,X2),X5),inverse(multiply(X5,X4)))) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.1.2','L')]).
% 0.58/1.04 cnf('0.18.0.1',plain,
% 0.58/1.04 ( X1 = divide(multiply(inverse(divide(divide(X2,X3),X1)),X4),divide(divide(divide(X3,X2),X5),inverse(multiply(X5,X4)))) ),
% 0.58/1.04 inference(reduction,[status(thm)],['0.18.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.04 [pos('R.1','L')]).
% 0.58/1.04 cnf('0.18.0.2',plain,
% 0.58/1.04 ( X1 = divide(multiply(inverse(divide(divide(X2,X3),X1)),X4),multiply(divide(divide(X3,X2),X5),multiply(X5,X4))) ),
% 0.58/1.04 inference(reduction,[status(thm)],['0.18.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.04 [pos('R.2','L')]).
% 0.58/1.04 cnf('0.18.1.0',plain,
% 0.58/1.04 ( X1 = divide(multiply(inverse(divide(divide(X2,X3),X1)),X4),multiply(divide(divide(X3,X2),X5),multiply(X5,X4))) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.18.0.2']),
% 0.58/1.04 [weight('<379,3,1,[0,0,0,6]>')]).
% 0.58/1.04 cnf('0.18.2.0',plain,
% 0.58/1.04 ( divide(multiply(inverse(divide(divide(X1,X2),X3)),X4),multiply(divide(divide(X2,X1),X5),multiply(X5,X4))) = X3 ),
% 0.58/1.04 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_18]).
% 0.58/1.04 cnf('0.19.0.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(divide(X2,X3),X1)),X4),multiply(divide(divide(X3,X2),X5),divide(X5,X4))) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.1.2','L')]).
% 0.58/1.04 cnf('0.19.1.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(divide(X2,X3),X1)),X4),multiply(divide(divide(X3,X2),X5),divide(X5,X4))) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/1.04 [weight('<379,6,1,[1,0,0,6]>')]).
% 0.58/1.04 cnf('0.19.2.0',plain,
% 0.58/1.04 ( divide(divide(inverse(divide(divide(X1,X2),X3)),X4),multiply(divide(divide(X2,X1),X5),divide(X5,X4))) = X3 ),
% 0.58/1.04 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_19]).
% 0.58/1.04 cnf('0.24.0.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(multiply(X2,X3),X1)),X4),divide(divide(divide(inverse(X3),X2),X5),inverse(divide(X5,X4)))) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.1.2','L')]).
% 0.58/1.04 cnf('0.24.0.1',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(multiply(X2,X3),X1)),X4),multiply(divide(divide(inverse(X3),X2),X5),divide(X5,X4))) ),
% 0.58/1.04 inference(reduction,[status(thm)],['0.24.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.04 [pos('R.2','L')]).
% 0.58/1.04 cnf('0.24.1.0',plain,
% 0.58/1.04 ( X1 = divide(divide(inverse(divide(multiply(X2,X3),X1)),X4),multiply(divide(divide(inverse(X3),X2),X5),divide(X5,X4))) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.58/1.04 [weight('<419,6,1,[0,0,0,6]>')]).
% 0.58/1.04 cnf('0.24.2.0',plain,
% 0.58/1.04 ( divide(divide(inverse(divide(multiply(X1,X2),X3)),X4),multiply(divide(divide(inverse(X2),X1),X5),divide(X5,X4))) = X3 ),
% 0.58/1.04 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_24]).
% 0.58/1.04 cnf('0.46.0.0',plain,
% 0.58/1.04 ( divide(X1,X2) = divide(multiply(inverse(X3),X4),multiply(divide(divide(divide(divide(X2,X1),X5),inverse(divide(X5,X3))),X6),multiply(X6,X4))) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.18.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.1.1.1','L')]).
% 0.58/1.04 cnf('0.46.0.1',plain,
% 0.58/1.04 ( divide(X1,X2) = divide(multiply(inverse(X3),X4),multiply(divide(multiply(divide(divide(X2,X1),X5),divide(X5,X3)),X6),multiply(X6,X4))) ),
% 0.58/1.04 inference(reduction,[status(thm)],['0.46.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.04 [pos('R.2.1.1','L')]).
% 0.58/1.04 cnf('0.46.1.0',plain,
% 0.58/1.04 ( divide(X1,X2) = divide(multiply(inverse(X3),X4),multiply(divide(multiply(divide(divide(X2,X1),X5),divide(X5,X3)),X6),multiply(X6,X4))) ),
% 0.58/1.04 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.58/1.04 [weight('<503,18,1,[1,0,0,3]>')]).
% 0.58/1.04 cnf('0.46.2.0',plain,
% 0.58/1.04 ( divide(multiply(inverse(X1),X2),multiply(divide(multiply(divide(divide(X3,X4),X5),divide(X5,X1)),X6),multiply(X6,X2))) = divide(X4,X3) ),
% 0.58/1.04 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.58/1.04 [x,rule_46]).
% 0.58/1.04 cnf('0.47.0.0',plain,
% 0.58/1.04 ( divide(X1,X2) = divide(divide(inverse(X3),X4),multiply(divide(divide(divide(divide(X2,X1),X5),inverse(divide(X5,X3))),X6),divide(X6,X4))) ),
% 0.58/1.04 inference(cp,[status(thm)],['0.19.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.04 [pos('L.1.1.1','L')]).
% 0.58/1.04 cnf('0.47.0.1',plain,
% 0.58/1.04 ( divide(X1,X2) = divide(divide(inverse(X3),X4),multiply(divide(multiply(divide(divide(X2,X1),X5),divide(X5,X3)),X6),divide(X6,X4))) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.47.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('R.2.1.1','L')]).
% 0.58/1.05 cnf('0.47.1.0',plain,
% 0.58/1.05 ( divide(X1,X2) = divide(divide(inverse(X3),X4),multiply(divide(multiply(divide(divide(X2,X1),X5),divide(X5,X3)),X6),divide(X6,X4))) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.58/1.05 [weight('<503,19,1,[1,0,0,3]>')]).
% 0.58/1.05 cnf('0.47.2.0',plain,
% 0.58/1.05 ( divide(divide(inverse(X1),X2),multiply(divide(multiply(divide(divide(X3,X4),X5),divide(X5,X1)),X6),divide(X6,X2))) = divide(X4,X3) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_47]).
% 0.58/1.05 cnf('0.48.0.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),multiply(X5,X6)),multiply(inverse(X4),X6)) = divide(multiply(inverse(X7),X8),multiply(divide(multiply(divide(divide(X2,X1),X9),divide(X9,X7)),X10),multiply(X10,X8))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.46.2.0','0.46.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2.1.1.1.1','L')]).
% 0.58/1.05 cnf('0.48.0.1',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),multiply(X5,X6)),multiply(inverse(X4),X6)) = divide(X1,X2) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.48.0.0','0.46.2.0',theory(equality)]),
% 0.58/1.05 [pos('R','L')]).
% 0.58/1.05 cnf('0.48.1.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),multiply(X5,X6)),multiply(inverse(X4),X6)) = divide(X1,X2) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.58/1.05 [weight('<503,46,46,[0,0,0,9]>')]).
% 0.58/1.05 cnf('0.48.2.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),multiply(X5,X6)),multiply(inverse(X4),X6)) = divide(X1,X2) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_48]).
% 0.58/1.05 cnf('0.49.0.0',plain,
% 0.58/1.05 ( divide(divide(inverse(divide(X1,X2)),divide(divide(X3,X4),X1)),divide(X4,X3)) = divide(multiply(divide(multiply(divide(X2,X5),divide(X5,X6)),X7),multiply(X7,X8)),multiply(inverse(X6),X8)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.48.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1.1.1.1.1','L')]).
% 0.58/1.05 cnf('0.49.0.1',plain,
% 0.58/1.05 ( X2 = divide(multiply(divide(multiply(divide(X2,X5),divide(X5,X6)),X7),multiply(X7,X8)),multiply(inverse(X6),X8)) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.49.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.49.1.0',plain,
% 0.58/1.05 ( X2 = divide(multiply(divide(multiply(divide(X2,X5),divide(X5,X6)),X7),multiply(X7,X8)),multiply(inverse(X6),X8)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.58/1.05 [weight('<379,48,1,[1,0,0,5]>')]).
% 0.58/1.05 cnf('0.49.2.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(X1,X2),divide(X2,X3)),X4),multiply(X4,X5)),multiply(inverse(X3),X5)) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_49]).
% 0.58/1.05 cnf('0.52.0.0',plain,
% 0.58/1.05 ( X1 = divide(multiply(divide(multiply(divide(X1,X2),multiply(X2,X3)),X4),multiply(X4,X5)),multiply(inverse(inverse(X3)),X5)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.49.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1.1.1.2','L')]).
% 0.58/1.05 cnf('0.52.1.0',plain,
% 0.58/1.05 ( X1 = divide(multiply(divide(multiply(divide(X1,X2),multiply(X2,X3)),X4),multiply(X4,X5)),multiply(inverse(inverse(X3)),X5)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.58/1.05 [weight('<419,49,2,[1,0,0,7]>')]).
% 0.58/1.05 cnf('0.52.2.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(X1,X2),multiply(X2,X3)),X4),multiply(X4,X5)),multiply(inverse(inverse(X3)),X5)) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_52]).
% 0.58/1.05 cnf('0.57.0.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(multiply(X1,multiply(multiply(inverse(X3),X4),X5)),multiply(inverse(inverse(X4)),X5)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.52.2.0','0.49.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1.1','L')]).
% 0.58/1.05 cnf('0.57.1.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(multiply(X1,multiply(multiply(inverse(X3),X4),X5)),multiply(inverse(inverse(X4)),X5)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.58/1.05 [weight('<483,52,49,[1,0,0,2]>')]).
% 0.58/1.05 cnf('0.57.2.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(multiply(X1,multiply(multiply(inverse(X3),X4),X5)),multiply(inverse(inverse(X4)),X5)) ),
% 0.58/1.05 inference(activate,[status(thm)],['0.57.1.0']),
% 0.58/1.05 [equation_1]).
% 0.58/1.05 cnf('0.57.2.1',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(multiply(X1,multiply(multiply(inverse(X3),c3),c3)),multiply(inverse(inverse(c3)),c3)) ),
% 0.58/1.05 inference(instr,[status(thm)],['0.57.2.0',theory(equality)])).
% 0.58/1.05 cnf('0.57.2.2',plain,
% 0.58/1.05 ( multiply(divide(X1,c3),divide(c3,X2)) = divide(multiply(X1,multiply(multiply(inverse(X2),X3),X4)),multiply(inverse(inverse(X3)),X4)) ),
% 0.58/1.05 inference(instl,[status(thm)],['0.57.2.0',theory(equality)])).
% 0.58/1.05 cnf('0.58.0.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = multiply(divide(X1,X4),divide(X4,X3)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.57.2.0','0.57.2.0',theory(equality)]),
% 0.58/1.05 [pos('R','R')]).
% 0.58/1.05 cnf('0.58.1.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = multiply(divide(X1,X4),divide(X4,X3)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.58/1.05 [weight('<224,57,57,[1,1,1,0]>')]).
% 0.58/1.05 cnf('0.58.2.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = multiply(divide(X1,X4),divide(X4,X3)) ),
% 0.58/1.05 inference(activate,[status(thm)],['0.58.1.0']),
% 0.58/1.05 [equation_2]).
% 0.58/1.05 cnf('0.58.2.1',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = multiply(divide(X1,c3),divide(c3,X3)) ),
% 0.58/1.05 inference(instr,[status(thm)],['0.58.2.0',theory(equality)])).
% 0.58/1.05 cnf('0.58.2.2',plain,
% 0.58/1.05 ( multiply(divide(X1,c3),divide(c3,X3)) = multiply(divide(X1,X2),divide(X2,X3)) ),
% 0.58/1.05 inference(instl,[status(thm)],['0.58.2.0',theory(equality)])).
% 0.58/1.05 cnf('0.62.0.0',plain,
% 0.58/1.05 ( multiply(divide(divide(multiply(divide(X1,X2),divide(X2,inverse(X3))),multiply(inverse(X4),X3)),X5),divide(X5,X4)) = X1 ),
% 0.58/1.05 inference(cp,[status(thm)],['0.57.2.0','0.49.2.0',theory(equality)]),
% 0.58/1.05 [pos('R','L')]).
% 0.58/1.05 cnf('0.62.0.1',plain,
% 0.58/1.05 ( multiply(divide(divide(multiply(divide(X1,X2),multiply(X2,X3)),multiply(inverse(X4),X3)),X5),divide(X5,X4)) = X1 ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.62.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1.1.1.2','L')]).
% 0.58/1.05 cnf('0.62.1.0',plain,
% 0.58/1.05 ( multiply(divide(divide(multiply(divide(X1,X2),multiply(X2,X3)),multiply(inverse(X4),X3)),X5),divide(X5,X4)) = X1 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.58/1.05 [weight('<379,57,49,[1,1,0,0]>')]).
% 0.58/1.05 cnf('0.62.2.0',plain,
% 0.58/1.05 ( multiply(divide(divide(multiply(divide(X1,X2),multiply(X2,X3)),multiply(inverse(X4),X3)),X5),divide(X5,X4)) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_57]).
% 0.58/1.05 cnf('0.72.0.0',plain,
% 0.58/1.05 ( multiply(divide(divide(inverse(divide(X1,X2)),divide(multiply(X3,X4),X1)),X5),divide(X5,X6)) = multiply(X2,divide(divide(inverse(X4),X3),X6)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.58.2.0','0.5.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.72.1.0',plain,
% 0.58/1.05 ( multiply(divide(divide(inverse(divide(X1,X2)),divide(multiply(X3,X4),X1)),X5),divide(X5,X6)) = multiply(X2,divide(divide(inverse(X4),X3),X6)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.72.0.0']),
% 0.58/1.05 [weight('<424,58,5,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.72.2.0',plain,
% 0.58/1.05 ( multiply(divide(divide(inverse(divide(X1,X2)),divide(multiply(X3,X4),X1)),X5),divide(X5,X6)) = multiply(X2,divide(divide(inverse(X4),X3),X6)) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_67]).
% 0.58/1.05 cnf('0.108.0.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),divide(X5,X6)),divide(inverse(X4),X6)) = divide(multiply(inverse(X7),X8),multiply(divide(multiply(divide(divide(X2,X1),X9),divide(X9,X7)),X10),multiply(X10,X8))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.46.2.0','0.47.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2.1.1.1.1','L')]).
% 0.58/1.05 cnf('0.108.0.1',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),divide(X5,X6)),divide(inverse(X4),X6)) = divide(X1,X2) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.108.0.0','0.46.2.0',theory(equality)]),
% 0.58/1.05 [pos('R','L')]).
% 0.58/1.05 cnf('0.108.1.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),divide(X5,X6)),divide(inverse(X4),X6)) = divide(X1,X2) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.108.0.1']),
% 0.58/1.05 [weight('<503,47,46,[0,0,0,9]>')]).
% 0.58/1.05 cnf('0.108.2.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X5),divide(X5,X6)),divide(inverse(X4),X6)) = divide(X1,X2) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_103]).
% 0.58/1.05 cnf('0.109.0.0',plain,
% 0.58/1.05 ( divide(divide(inverse(divide(X1,X2)),divide(divide(X3,X4),X1)),divide(X4,X3)) = divide(multiply(divide(multiply(divide(X2,X5),divide(X5,X6)),X7),divide(X7,X8)),divide(inverse(X6),X8)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.108.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1.1.1.1.1','L')]).
% 0.58/1.05 cnf('0.109.0.1',plain,
% 0.58/1.05 ( X2 = divide(multiply(divide(multiply(divide(X2,X5),divide(X5,X6)),X7),divide(X7,X8)),divide(inverse(X6),X8)) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.109.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.109.1.0',plain,
% 0.58/1.05 ( X2 = divide(multiply(divide(multiply(divide(X2,X5),divide(X5,X6)),X7),divide(X7,X8)),divide(inverse(X6),X8)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.109.0.1']),
% 0.58/1.05 [weight('<379,108,1,[1,0,0,5]>')]).
% 0.58/1.05 cnf('0.109.2.0',plain,
% 0.58/1.05 ( divide(multiply(divide(multiply(divide(X1,X2),divide(X2,X3)),X4),divide(X4,X5)),divide(inverse(X3),X5)) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_104]).
% 0.58/1.05 cnf('0.110.0.0',plain,
% 0.58/1.05 ( divide(inverse(X1),X2) = divide(divide(inverse(X3),X4),multiply(divide(divide(inverse(divide(X5,X2)),divide(multiply(divide(X3,X6),divide(X6,X1)),X5)),X7),divide(X7,X4))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.24.2.0','0.109.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1.1.1','L')]).
% 0.58/1.05 cnf('0.110.0.1',plain,
% 0.58/1.05 ( divide(inverse(X1),X2) = divide(divide(inverse(X3),X4),multiply(X2,divide(divide(inverse(divide(X6,X1)),divide(X3,X6)),X4))) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.110.0.0','0.72.2.0',theory(equality)]),
% 0.58/1.05 [pos('R.2','L')]).
% 0.58/1.05 cnf('0.110.1.0',plain,
% 0.58/1.05 ( divide(inverse(X1),X2) = divide(divide(inverse(X3),X4),multiply(X2,divide(divide(inverse(divide(X6,X1)),divide(X3,X6)),X4))) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.110.0.1']),
% 0.58/1.05 [weight('<395,109,24,[0,0,0,3]>')]).
% 0.58/1.05 cnf('0.110.2.0',plain,
% 0.58/1.05 ( divide(divide(inverse(X1),X2),multiply(X3,divide(divide(inverse(divide(X4,X5)),divide(X1,X4)),X2))) = divide(inverse(X5),X3) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_105]).
% 0.58/1.05 cnf('0.111.0.0',plain,
% 0.58/1.05 ( divide(inverse(X1),X2) = divide(divide(inverse(divide(X3,X4)),divide(X4,X3)),multiply(X2,X1)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.110.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2.2','L')]).
% 0.58/1.05 cnf('0.111.1.0',plain,
% 0.58/1.05 ( divide(inverse(X1),X2) = divide(divide(inverse(divide(X3,X4)),divide(X4,X3)),multiply(X2,X1)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.111.0.0']),
% 0.58/1.05 [weight('<220,110,1,[1,0,0,7]>')]).
% 0.58/1.05 cnf('0.111.2.0',plain,
% 0.58/1.05 ( divide(divide(inverse(divide(X1,X2)),divide(X2,X1)),multiply(X3,X4)) = divide(inverse(X4),X3) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_106]).
% 0.58/1.05 cnf('0.112.0.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),divide(inverse(divide(X3,X4)),divide(X4,X3))) = divide(multiply(inverse(X5),X6),multiply(divide(multiply(divide(divide(inverse(X2),X1),X7),divide(X7,X5)),X8),multiply(X8,X6))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.46.2.0','0.111.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2.1.1.1.1','L')]).
% 0.58/1.05 cnf('0.112.0.1',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),divide(inverse(divide(X3,X4)),divide(X4,X3))) = divide(X1,inverse(X2)) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.112.0.0','0.46.2.0',theory(equality)]),
% 0.58/1.05 [pos('R','L')]).
% 0.58/1.05 cnf('0.112.0.2',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),divide(inverse(divide(X3,X4)),divide(X4,X3))) = multiply(X1,X2) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.112.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('R','L')]).
% 0.58/1.05 cnf('0.112.1.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),divide(inverse(divide(X3,X4)),divide(X4,X3))) = multiply(X1,X2) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.112.0.2']),
% 0.58/1.05 [weight('<207,111,46,[0,0,0,9]>')]).
% 0.58/1.05 cnf('0.112.2.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),divide(inverse(divide(X3,X4)),divide(X4,X3))) = multiply(X1,X2) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_107]).
% 0.58/1.05 cnf('0.113.0.0',plain,
% 0.58/1.05 ( multiply(divide(divide(multiply(divide(X1,X2),multiply(X2,X3)),multiply(inverse(X4),X3)),X5),divide(X5,X4)) = divide(X1,divide(inverse(divide(X6,X7)),divide(X7,X6))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.112.2.0','0.62.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.113.0.1',plain,
% 0.58/1.05 ( X1 = divide(X1,divide(inverse(divide(X6,X7)),divide(X7,X6))) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.113.0.0','0.62.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.113.1.0',plain,
% 0.58/1.05 ( X1 = divide(X1,divide(inverse(divide(X6,X7)),divide(X7,X6))) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.113.0.1']),
% 0.58/1.05 [weight('<131,112,62,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.113.2.0',plain,
% 0.58/1.05 ( divide(X1,divide(inverse(divide(X2,X3)),divide(X3,X2))) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_108]).
% 0.58/1.05 cnf('0.114.0.0',plain,
% 0.58/1.05 ( X1 = divide(X1,inverse(divide(divide(X2,X3),inverse(divide(X3,X2))))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.113.2.0','0.113.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.114.0.1',plain,
% 0.58/1.05 ( X1 = multiply(X1,divide(divide(X2,X3),inverse(divide(X3,X2)))) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.114.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('R','L')]).
% 0.58/1.05 cnf('0.114.0.2',plain,
% 0.58/1.05 ( X1 = multiply(X1,multiply(divide(X2,X3),divide(X3,X2))) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.114.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('R.2','L')]).
% 0.58/1.05 cnf('0.114.1.0',plain,
% 0.58/1.05 ( X1 = multiply(X1,multiply(divide(X2,X3),divide(X3,X2))) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.114.0.2']),
% 0.58/1.05 [weight('<109,113,113,[0,0,0,2]>')]).
% 0.58/1.05 cnf('0.114.2.0',plain,
% 0.58/1.05 ( multiply(X1,multiply(divide(X2,X3),divide(X3,X2))) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_109]).
% 0.58/1.05 cnf('0.115.0.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,divide(inverse(divide(X3,X4)),divide(X4,X3)))) = multiply(divide(X1,X5),X5) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.58.2.0','0.113.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.115.0.1',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),X2) = multiply(divide(X1,X5),X5) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.115.0.0','0.113.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.115.1.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),X2) = multiply(divide(X1,X5),X5) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.115.0.1']),
% 0.58/1.05 [weight('<120,113,58,[0,0,0,4]>')]).
% 0.58/1.05 cnf('0.115.2.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),X2) = multiply(divide(X1,X3),X3) ),
% 0.58/1.05 inference(activate,[status(thm)],['0.115.1.0']),
% 0.58/1.05 [equation_6]).
% 0.58/1.05 cnf('0.115.2.1',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),X2) = multiply(divide(X1,c3),c3) ),
% 0.58/1.05 inference(instr,[status(thm)],['0.115.2.0',theory(equality)])).
% 0.58/1.05 cnf('0.115.2.2',plain,
% 0.58/1.05 ( multiply(divide(X1,c3),c3) = multiply(divide(X1,X2),X2) ),
% 0.58/1.05 inference(instl,[status(thm)],['0.115.2.0',theory(equality)])).
% 0.58/1.05 cnf('0.116.0.0',plain,
% 0.58/1.05 ( X1 = multiply(X1,multiply(divide(inverse(X2),X3),multiply(X3,X2))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.114.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2.2','L')]).
% 0.58/1.05 cnf('0.116.1.0',plain,
% 0.58/1.05 ( X1 = multiply(X1,multiply(divide(inverse(X2),X3),multiply(X3,X2))) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.116.0.0']),
% 0.58/1.05 [weight('<131,114,2,[1,0,0,6]>')]).
% 0.58/1.05 cnf('0.116.2.0',plain,
% 0.58/1.05 ( multiply(X1,multiply(divide(inverse(X2),X3),multiply(X3,X2))) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_110]).
% 0.58/1.05 cnf('0.117.0.0',plain,
% 0.58/1.05 ( X1 = multiply(X1,divide(inverse(divide(X2,X3)),divide(X3,X2))) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.116.2.0','0.114.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.117.1.0',plain,
% 0.58/1.05 ( X1 = multiply(X1,divide(inverse(divide(X2,X3)),divide(X3,X2))) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.117.0.0']),
% 0.58/1.05 [weight('<131,116,114,[1,0,0,2]>')]).
% 0.58/1.05 cnf('0.117.2.0',plain,
% 0.58/1.05 ( multiply(X1,divide(inverse(divide(X2,X3)),divide(X3,X2))) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_111]).
% 0.58/1.05 cnf('0.118.0.0',plain,
% 0.58/1.05 ( divide(X1,divide(inverse(divide(X2,X3)),divide(X3,X2))) = multiply(divide(X1,X4),X4) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.117.2.0','0.115.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.118.0.1',plain,
% 0.58/1.05 ( X1 = multiply(divide(X1,X4),X4) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.118.0.0','0.113.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.118.1.0',plain,
% 0.58/1.05 ( X1 = multiply(divide(X1,X4),X4) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.118.0.1']),
% 0.58/1.05 [weight('<41,117,115,[1,0,0,0]>')]).
% 0.58/1.05 cnf('0.118.2.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_112]).
% 0.58/1.05 cnf('0.119.0.0',plain,
% 0.58/1.05 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.118.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.119.1.0',plain,
% 0.58/1.05 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.119.0.0']),
% 0.58/1.05 [weight('<55,118,2,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.119.2.0',plain,
% 0.58/1.05 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_113]).
% 0.58/1.05 cnf('0.120.0.0',plain,
% 0.58/1.05 ( divide(X1,X2) = multiply(X1,inverse(X2)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.119.2.0','0.118.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.120.1.0',plain,
% 0.58/1.05 ( divide(X1,X2) = multiply(X1,inverse(X2)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.120.0.0']),
% 0.58/1.05 [weight('<39,119,118,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.120.2.0',plain,
% 0.58/1.05 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_114]).
% 0.58/1.05 cnf('0.122.0.0',plain,
% 0.58/1.05 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.58/1.05 inference(interreduction_right,[status(thm)],['0.119.2.0'])).
% 0.58/1.05 cnf('0.122.0.1',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.122.0.0','0.120.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.122.1.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.122.0.1']),
% 0.58/1.05 [weight('<41,119,120,[0,0,0,0]>')]).
% 0.58/1.05 cnf('0.122.2.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_116]).
% 0.58/1.05 cnf('0.124.0.0',plain,
% 0.58/1.05 ( divide(multiply(divide(X1,X2),divide(X2,X3)),inverse(X3)) = X1 ),
% 0.58/1.05 inference(cp,[status(thm)],['0.122.2.0','0.49.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.124.0.1',plain,
% 0.58/1.05 ( multiply(multiply(divide(X1,X2),divide(X2,X3)),X3) = X1 ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.124.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.124.1.0',plain,
% 0.58/1.05 ( multiply(multiply(divide(X1,X2),divide(X2,X3)),X3) = X1 ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.124.0.1']),
% 0.58/1.05 [weight('<109,122,49,[1,0,0,0]>')]).
% 0.58/1.05 cnf('0.124.2.0',plain,
% 0.58/1.05 ( multiply(multiply(divide(X1,X2),divide(X2,X3)),X3) = X1 ),
% 0.58/1.05 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_118]).
% 0.58/1.05 cnf('0.125.0.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(X1,X3) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.122.2.0','0.124.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.125.1.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(X1,X3) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.125.0.0']),
% 0.58/1.05 [weight('<87,124,122,[0,0,0,1]>')]).
% 0.58/1.05 cnf('0.125.2.0',plain,
% 0.58/1.05 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(X1,X3) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_119]).
% 0.58/1.05 cnf('0.144.0.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.125.2.0','0.122.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.1','L')]).
% 0.58/1.05 cnf('0.144.1.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.144.0.0']),
% 0.58/1.05 [weight('<65,125,122,[1,0,0,1]>')]).
% 0.58/1.05 cnf('0.144.2.0',plain,
% 0.58/1.05 ( divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 0.58/1.05 [u,rule_136]).
% 0.58/1.05 cnf('0.146.0.0',plain,
% 0.58/1.05 ( multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3) ),
% 0.58/1.05 inference(cp,[status(thm)],['0.144.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('0.146.0.1',plain,
% 0.58/1.05 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.58/1.05 inference(reduction,[status(thm)],['0.146.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.05 [pos('L.2','L')]).
% 0.58/1.05 cnf('0.146.1.0',plain,
% 0.58/1.05 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.58/1.05 inference(weigh,[status(thm)],['0.146.0.1']),
% 0.58/1.05 [weight('<65,144,2,[1,0,0,0]>')]).
% 0.58/1.05 cnf('0.146.2.0',plain,
% 0.58/1.05 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.58/1.05 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 0.58/1.05 [x,rule_138]).
% 0.58/1.05 cnf('1.0.0.0',conjecture,
% 0.58/1.05 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.58/1.05 file('/tmp/WALDMEISTER_30092_n009',conjecture_1)).
% 0.58/1.05 cnf('1.0.0.1',plain,
% 0.58/1.05 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.58/1.05 inference(reduction,[status(thm)],['1.0.0.0','0.146.2.0',theory(equality)]),
% 0.58/1.05 [pos('L','L')]).
% 0.58/1.05 cnf('1.0.0.2',plain,
% 0.58/1.05 ( $true ),
% 0.58/1.05 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/1.05 [conjecture_1]).
% 0.58/1.05
% 0.58/1.05 Proved Goals:
% 0.58/1.05 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.58/1.05 1 goal was specified, which was proved.
% 0.58/1.05 % SZS output end CNFRefutation
% 0.58/1.05 #END OF PROOF
% 0.58/1.05
% 0.58/1.05 Problem WALDMEISTER_30092_n009
% 0.58/1.05 CPs.gen 19971
% 0.58/1.05 CPs.reexp 0
% 0.58/1.05 Select 558
% 0.58/1.05 R 138
% 0.58/1.05 E 8
% 0.58/1.05 vsize 6.5M
% 0.58/1.05 rss 4.0M
% 0.58/1.05 process.time 0.100s
% 0.58/1.05 wallclock.time 0.100s
% 0.58/1.05 status S
% 0.58/1.05
% 0.58/1.05
% 0.58/1.05 Waldmeister states: Goal proved.
% 0.58/1.05 % SZS status Unsatisfiable
%------------------------------------------------------------------------------