TSTP Solution File: GRP559-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 12:26:54 EDT 2022
% Result : Unsatisfiable 0.56s 0.94s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n008.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 03:47:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.94 ********************************************************************************
% 0.56/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.94 * |/ | \/ | *
% 0.56/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.94 * A. Jaeger and B. Loechner | | *
% 0.56/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.94 ********************************************************************************
% 0.56/0.94
% 0.56/0.94
% 0.56/0.94 Goals:
% 0.56/0.94 ------
% 0.56/0.94
% 0.56/0.94 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.56/0.94
% 0.56/0.94 Detected structure: Orkus
% 0.56/0.94 ********************************************************************************
% 0.56/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.94 ********************************************************************************
% 0.56/0.94
% 0.56/0.94 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(c3,b3))
% 0.56/0.94 goal joined
% 0.56/0.94 % SZS status Unsatisfiable
% 0.56/0.94 #START OF PROOF
% 0.56/0.94 % SZS output start CNFRefutation
% 0.56/0.94 cnf('0.1.0.0',axiom,
% 0.56/0.94 ( X1 = divide(X2,inverse(divide(divide(X1,X3),divide(X2,X3)))) ),
% 0.56/0.94 file('/tmp/WALDMEISTER_24026_n008')).
% 0.56/0.94 cnf('0.1.1.0',plain,
% 0.56/0.94 ( X1 = divide(X2,inverse(divide(divide(X1,X3),divide(X2,X3)))) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.94 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.94 cnf('0.1.2.0',plain,
% 0.56/0.94 ( divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_1]).
% 0.56/0.94 cnf('0.2.0.0',axiom,
% 0.56/0.94 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.94 file('/tmp/WALDMEISTER_24026_n008')).
% 0.56/0.94 cnf('0.2.1.0',plain,
% 0.56/0.94 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.94 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.94 cnf('0.2.2.0',plain,
% 0.56/0.94 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.94 [u,rule_2]).
% 0.56/0.94 cnf('0.3.0.0',plain,
% 0.56/0.94 ( divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2 ),
% 0.56/0.94 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.56/0.94 cnf('0.3.0.1',plain,
% 0.56/0.94 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.56/0.94 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.94 [pos('L','L')]).
% 0.56/0.94 cnf('0.3.1.0',plain,
% 0.56/0.94 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.3.0.1']),
% 0.56/0.94 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.56/0.94 cnf('0.3.2.0',plain,
% 0.56/0.94 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/0.94 [u,rule_3]).
% 0.56/0.94 cnf('0.4.0.0',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(multiply(X1,X3),divide(X2,inverse(X3)))) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2.1','L')]).
% 0.56/0.94 cnf('0.4.0.1',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(multiply(X1,X3),multiply(X2,X3))) ),
% 0.56/0.94 inference(reduction,[status(thm)],['0.4.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.94 [pos('R.2.2','L')]).
% 0.56/0.94 cnf('0.4.1.0',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(multiply(X1,X3),multiply(X2,X3))) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.56/0.94 [weight('<109,3,2,[1,0,0,3]>')]).
% 0.56/0.94 cnf('0.4.2.0',plain,
% 0.56/0.94 ( multiply(X1,divide(multiply(X2,X3),multiply(X1,X3))) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_4]).
% 0.56/0.94 cnf('0.5.0.0',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(X3,multiply(X2,divide(divide(X3,X4),divide(X1,X4))))) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2.1','L')]).
% 0.56/0.94 cnf('0.5.1.0',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(X3,multiply(X2,divide(divide(X3,X4),divide(X1,X4))))) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/0.94 [weight('<209,4,3,[1,0,0,3]>')]).
% 0.56/0.94 cnf('0.5.2.0',plain,
% 0.56/0.94 ( multiply(X1,divide(X2,multiply(X1,divide(divide(X2,X3),divide(X4,X3))))) = X4 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_5]).
% 0.56/0.94 cnf('0.6.0.0',plain,
% 0.56/0.94 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2.2','L')]).
% 0.56/0.94 cnf('0.6.1.0',plain,
% 0.56/0.94 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.56/0.94 [weight('<41,5,3,[1,0,0,4]>')]).
% 0.56/0.94 cnf('0.6.2.0',plain,
% 0.56/0.94 ( multiply(X1,divide(X2,X2)) = X1 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_6]).
% 0.56/0.94 cnf('0.7.0.0',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(X1,multiply(X2,divide(X3,X3)))) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2.1','L')]).
% 0.56/0.94 cnf('0.7.0.1',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.56/0.94 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.56/0.94 [pos('R.2.2','L')]).
% 0.56/0.94 cnf('0.7.1.0',plain,
% 0.56/0.94 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.56/0.94 [weight('<41,6,4,[0,0,0,3]>')]).
% 0.56/0.94 cnf('0.7.2.0',plain,
% 0.56/0.94 ( multiply(X1,divide(X2,X1)) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_7]).
% 0.56/0.94 cnf('0.9.0.0',plain,
% 0.56/0.94 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.9.1.0',plain,
% 0.56/0.94 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.56/0.94 [weight('<55,7,2,[1,0,0,2]>')]).
% 0.56/0.94 cnf('0.9.2.0',plain,
% 0.56/0.94 ( multiply(inverse(X1),multiply(X2,X1)) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_9]).
% 0.56/0.94 cnf('0.11.0.0',plain,
% 0.56/0.94 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.11.1.0',plain,
% 0.56/0.94 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.56/0.94 [weight('<55,9,6,[1,0,0,3]>')]).
% 0.56/0.94 cnf('0.11.2.0',plain,
% 0.56/0.94 ( multiply(inverse(divide(X1,X1)),X2) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_11]).
% 0.56/0.94 cnf('0.12.0.0',plain,
% 0.56/0.94 ( X1 = multiply(inverse(divide(X2,X2)),divide(multiply(X1,X3),X3)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.4.2.0','0.11.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2.2','L')]).
% 0.56/0.94 cnf('0.12.0.1',plain,
% 0.56/0.94 ( X1 = divide(multiply(X1,X3),X3) ),
% 0.56/0.94 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 0.56/0.94 [pos('R','L')]).
% 0.56/0.94 cnf('0.12.1.0',plain,
% 0.56/0.94 ( X1 = divide(multiply(X1,X3),X3) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.56/0.94 [weight('<41,11,4,[0,0,0,6]>')]).
% 0.56/0.94 cnf('0.12.2.0',plain,
% 0.56/0.94 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_12]).
% 0.56/0.94 cnf('0.14.0.0',plain,
% 0.56/0.94 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.12.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.1','L')]).
% 0.56/0.94 cnf('0.14.1.0',plain,
% 0.56/0.94 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.56/0.94 [weight('<41,12,7,[1,0,0,1]>')]).
% 0.56/0.94 cnf('0.14.2.0',plain,
% 0.56/0.94 ( divide(X1,divide(X1,X2)) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_14]).
% 0.56/0.94 cnf('0.16.0.0',plain,
% 0.56/0.94 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.3.2.0','0.14.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.16.1.0',plain,
% 0.56/0.94 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.56/0.94 [weight('<41,14,3,[0,0,0,2]>')]).
% 0.56/0.94 cnf('0.16.2.0',plain,
% 0.56/0.94 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_16]).
% 0.56/0.94 cnf('0.17.0.0',plain,
% 0.56/0.94 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.9.2.0','0.16.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.17.1.0',plain,
% 0.56/0.94 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.56/0.94 [weight('<39,16,9,[0,0,0,3]>')]).
% 0.56/0.94 cnf('0.17.2.0',plain,
% 0.56/0.94 ( multiply(inverse(X1),X2) = divide(X2,X1) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_17]).
% 0.56/0.94 cnf('0.18.0.0',plain,
% 0.56/0.94 ( X1 = divide(multiply(X2,X1),X2) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.14.2.0','0.12.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.18.1.0',plain,
% 0.56/0.94 ( X1 = divide(multiply(X2,X1),X2) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.56/0.94 [weight('<41,14,12,[1,0,0,2]>')]).
% 0.56/0.94 cnf('0.18.2.0',plain,
% 0.56/0.94 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_18]).
% 0.56/0.94 cnf('0.19.0.0',plain,
% 0.56/0.94 ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.19.1.0',plain,
% 0.56/0.94 ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.56/0.94 [weight('<47,14,2,[1,0,0,2]>')]).
% 0.56/0.94 cnf('0.19.2.0',plain,
% 0.56/0.94 ( divide(X1,multiply(X1,X2)) = inverse(X2) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_19]).
% 0.56/0.94 cnf('0.20.0.0',plain,
% 0.56/0.94 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.19.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.20.1.0',plain,
% 0.56/0.94 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.56/0.94 [weight('<39,19,7,[1,0,0,2]>')]).
% 0.56/0.94 cnf('0.20.2.0',plain,
% 0.56/0.94 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.56/0.94 [u,rule_20]).
% 0.56/0.94 cnf('0.21.0.0',plain,
% 0.56/0.94 ( divide(multiply(X1,X2),X1) = inverse(inverse(X2)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.20.2.0','0.19.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.1','L')]).
% 0.56/0.94 cnf('0.21.0.1',plain,
% 0.56/0.94 ( X2 = inverse(inverse(X2)) ),
% 0.56/0.94 inference(reduction,[status(thm)],['0.21.0.0','0.18.2.0',theory(equality)]),
% 0.56/0.94 [pos('L','L')]).
% 0.56/0.94 cnf('0.21.1.0',plain,
% 0.56/0.94 ( X2 = inverse(inverse(X2)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.56/0.94 [weight('<19,20,19,[1,0,0,1]>')]).
% 0.56/0.94 cnf('0.21.2.0',plain,
% 0.56/0.94 ( inverse(inverse(X1)) = X1 ),
% 0.56/0.94 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_21]).
% 0.56/0.94 cnf('0.22.0.0',plain,
% 0.56/0.94 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.2.2.0','0.21.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.22.1.0',plain,
% 0.56/0.94 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.56/0.94 [weight('<39,21,2,[0,0,0,2]>')]).
% 0.56/0.94 cnf('0.22.2.0',plain,
% 0.56/0.94 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.56/0.94 [u,rule_22]).
% 0.56/0.94 cnf('0.23.0.0',plain,
% 0.56/0.94 ( divide(inverse(X1),X2) = inverse(multiply(X2,X1)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.20.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.1','L')]).
% 0.56/0.94 cnf('0.23.1.0',plain,
% 0.56/0.94 ( divide(inverse(X1),X2) = inverse(multiply(X2,X1)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.56/0.94 [weight('<44,20,2,[1,0,0,1]>')]).
% 0.56/0.94 cnf('0.23.2.0',plain,
% 0.56/0.94 ( inverse(multiply(X1,X2)) = divide(inverse(X2),X1) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_23]).
% 0.56/0.94 cnf('0.25.0.0',plain,
% 0.56/0.94 ( inverse(X1) = divide(divide(X2,X1),X2) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.1','L')]).
% 0.56/0.94 cnf('0.25.1.0',plain,
% 0.56/0.94 ( inverse(X1) = divide(divide(X2,X1),X2) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.56/0.94 [weight('<47,17,12,[0,0,0,1]>')]).
% 0.56/0.94 cnf('0.25.2.0',plain,
% 0.56/0.94 ( divide(divide(X1,X2),X1) = inverse(X2) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_25]).
% 0.56/0.94 cnf('0.27.0.0',plain,
% 0.56/0.94 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.7.2.0','0.12.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.27.1.0',plain,
% 0.56/0.94 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.56/0.94 [weight('<48,12,7,[0,0,0,2]>')]).
% 0.56/0.94 cnf('0.27.2.0',plain,
% 0.56/0.94 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.94 inference(activate,[status(thm)],['0.27.1.0']),
% 0.56/0.94 [equation_1]).
% 0.56/0.94 cnf('0.31.0.0',plain,
% 0.56/0.94 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.2.2.0','0.20.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.2','L')]).
% 0.56/0.94 cnf('0.31.1.0',plain,
% 0.56/0.94 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.56/0.94 [weight('<65,20,2,[0,0,0,2]>')]).
% 0.56/0.94 cnf('0.31.2.0',plain,
% 0.56/0.94 ( divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_29]).
% 0.56/0.94 cnf('0.33.0.0',plain,
% 0.56/0.94 ( divide(X1,multiply(X2,X3)) = multiply(divide(inverse(X3),X2),X1) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.17.2.0','0.23.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.1','L')]).
% 0.56/0.94 cnf('0.33.1.0',plain,
% 0.56/0.94 ( divide(X1,multiply(X2,X3)) = multiply(divide(inverse(X3),X2),X1) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.56/0.94 [weight('<83,23,17,[0,0,0,1]>')]).
% 0.56/0.94 cnf('0.33.2.0',plain,
% 0.56/0.94 ( multiply(divide(inverse(X1),X2),X3) = divide(X3,multiply(X2,X1)) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.56/0.94 [x,rule_30]).
% 0.56/0.94 cnf('0.35.0.0',plain,
% 0.56/0.94 ( divide(multiply(X1,X2),multiply(X3,X2)) = divide(X1,X3) ),
% 0.56/0.94 inference(cp,[status(thm)],['0.18.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.94 [pos('L.1','L')]).
% 0.56/0.94 cnf('0.35.1.0',plain,
% 0.56/0.94 ( divide(multiply(X1,X2),multiply(X3,X2)) = divide(X1,X3) ),
% 0.56/0.94 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.56/0.94 [weight('<87,18,4,[1,0,0,1]>')]).
% 0.56/0.94 cnf('0.35.2.0',plain,
% 0.56/0.94 ( divide(multiply(X1,X2),multiply(X3,X2)) = divide(X1,X3) ),
% 0.56/0.94 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.56/0.94 [u,rule_32]).
% 0.56/0.94 cnf('0.36.0.0',plain,
% 0.56/0.94 ( multiply(X1,X2) = multiply(multiply(X3,X2),divide(X1,X3)) ),
% 0.56/0.95 inference(cp,[status(thm)],['0.7.2.0','0.35.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.2','L')]).
% 0.56/0.95 cnf('0.36.1.0',plain,
% 0.56/0.95 ( multiply(X1,X2) = multiply(multiply(X3,X2),divide(X1,X3)) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.56/0.95 [weight('<87,35,7,[0,0,0,2]>')]).
% 0.56/0.95 cnf('0.36.2.0',plain,
% 0.56/0.95 ( multiply(multiply(X1,X2),divide(X3,X1)) = multiply(X3,X2) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_33]).
% 0.56/0.95 cnf('0.37.0.0',plain,
% 0.56/0.95 ( multiply(divide(X1,X2),X3) = multiply(multiply(X1,X3),inverse(X2)) ),
% 0.56/0.95 inference(cp,[status(thm)],['0.36.2.0','0.25.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.2','L')]).
% 0.56/0.95 cnf('0.37.0.1',plain,
% 0.56/0.95 ( multiply(divide(X1,X2),X3) = divide(multiply(X1,X3),X2) ),
% 0.56/0.95 inference(reduction,[status(thm)],['0.37.0.0','0.22.2.0',theory(equality)]),
% 0.56/0.95 [pos('R','L')]).
% 0.56/0.95 cnf('0.37.1.0',plain,
% 0.56/0.95 ( multiply(divide(X1,X2),X3) = divide(multiply(X1,X3),X2) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.56/0.95 [weight('<65,36,25,[1,0,0,4]>')]).
% 0.56/0.95 cnf('0.37.2.0',plain,
% 0.56/0.95 ( divide(multiply(X1,X2),X3) = multiply(divide(X1,X3),X2) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_34]).
% 0.56/0.95 cnf('0.38.0.0',plain,
% 0.56/0.95 ( multiply(divide(inverse(X1),X2),X3) = divide(divide(X3,X1),X2) ),
% 0.56/0.95 inference(cp,[status(thm)],['0.37.2.0','0.17.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1','L')]).
% 0.56/0.95 cnf('0.38.0.1',plain,
% 0.56/0.95 ( divide(X3,multiply(X2,X1)) = divide(divide(X3,X1),X2) ),
% 0.56/0.95 inference(reduction,[status(thm)],['0.38.0.0','0.33.2.0',theory(equality)]),
% 0.56/0.95 [pos('L','L')]).
% 0.56/0.95 cnf('0.38.1.0',plain,
% 0.56/0.95 ( divide(X3,multiply(X2,X1)) = divide(divide(X3,X1),X2) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.56/0.95 [weight('<65,37,17,[1,0,0,1]>')]).
% 0.56/0.95 cnf('0.38.2.0',plain,
% 0.56/0.95 ( divide(divide(X1,X2),X3) = divide(X1,multiply(X3,X2)) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_35]).
% 0.56/0.95 cnf('0.39.0.0',plain,
% 0.56/0.95 ( divide(X1,multiply(inverse(X2),X3)) = multiply(divide(X1,X3),X2) ),
% 0.56/0.95 inference(cp,[status(thm)],['0.38.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L','L')]).
% 0.56/0.95 cnf('0.39.0.1',plain,
% 0.56/0.95 ( divide(X1,divide(X3,X2)) = multiply(divide(X1,X3),X2) ),
% 0.56/0.95 inference(reduction,[status(thm)],['0.39.0.0','0.17.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.2','L')]).
% 0.56/0.95 cnf('0.39.0.2',plain,
% 0.56/0.95 ( multiply(X1,divide(X2,X3)) = multiply(divide(X1,X3),X2) ),
% 0.56/0.95 inference(reduction,[status(thm)],['0.39.0.1','0.31.2.0',theory(equality)]),
% 0.56/0.95 [pos('L','L')]).
% 0.56/0.95 cnf('0.39.1.0',plain,
% 0.56/0.95 ( multiply(X1,divide(X2,X3)) = multiply(divide(X1,X3),X2) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.39.0.2']),
% 0.56/0.95 [weight('<65,38,2,[1,0,0,0]>')]).
% 0.56/0.95 cnf('0.39.2.0',plain,
% 0.56/0.95 ( multiply(divide(X1,X2),X3) = multiply(X1,divide(X3,X2)) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_36]).
% 0.56/0.95 cnf('0.41.0.0',plain,
% 0.56/0.95 ( multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X3),X2) ),
% 0.56/0.95 inference(cp,[status(thm)],['0.39.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1','L')]).
% 0.56/0.95 cnf('0.41.0.1',plain,
% 0.56/0.95 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X3),X2) ),
% 0.56/0.95 inference(reduction,[status(thm)],['0.41.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.2','L')]).
% 0.56/0.95 cnf('0.41.1.0',plain,
% 0.56/0.95 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X3),X2) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.56/0.95 [weight('<65,39,2,[1,0,0,1]>')]).
% 0.56/0.95 cnf('0.41.2.0',plain,
% 0.56/0.95 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X3,X2)) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_38]).
% 0.56/0.95 cnf('1.0.0.0',conjecture,
% 0.56/0.95 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.56/0.95 file('/tmp/WALDMEISTER_24026_n008',conjecture_1)).
% 0.56/0.95 cnf('1.0.0.1',plain,
% 0.56/0.95 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.0',theory(equality)]),
% 0.56/0.95 [pos('R.2','L')]).
% 0.56/0.95 cnf('1.0.0.2',plain,
% 0.56/0.95 ( multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(c3,b3)) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.41.2.0',theory(equality)]),
% 0.56/0.95 [pos('L','L')]).
% 0.56/0.95 cnf('1.0.0.3',plain,
% 0.56/0.95 ( $true ),
% 0.56/0.95 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.56/0.95 [conjecture_1]).
% 0.56/0.95
% 0.56/0.95 Proved Goals:
% 0.56/0.95 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(c3,b3))
% 0.56/0.95 1 goal was specified, which was proved.
% 0.56/0.95 % SZS output end CNFRefutation
% 0.56/0.95 #END OF PROOF
% 0.56/0.95
% 0.56/0.95 Problem WALDMEISTER_24026_n008
% 0.56/0.95 CPs.gen 557
% 0.56/0.95 CPs.reexp 0
% 0.56/0.95 Select 106
% 0.56/0.95 R 38
% 0.56/0.95 E 3
% 0.56/0.95 vsize 6.5M
% 0.56/0.95 rss 3.8M
% 0.56/0.95 process.time 0.005s
% 0.56/0.95 wallclock.time 0.005s
% 0.56/0.95 status S
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Waldmeister states: Goal proved.
% 0.56/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------