TSTP Solution File: GRP527-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP527-1 : 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 12:26:47 EDT 2022
% Result : Unsatisfiable 0.56s 0.97s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 11:41:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.97 * |/ | \/ | *
% 0.56/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.97 * A. Jaeger and B. Loechner | | *
% 0.56/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Goals:
% 0.56/0.97 ------
% 0.56/0.97
% 0.56/0.97 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.56/0.97
% 0.56/0.97 Detected structure: Orkus
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.56/0.97 goal joined
% 0.56/0.97 % SZS status Unsatisfiable
% 0.56/0.97 #START OF PROOF
% 0.56/0.97 % SZS output start CNFRefutation
% 0.56/0.97 cnf('0.1.0.0',axiom,
% 0.56/0.97 ( X1 = divide(X2,divide(divide(X2,X3),divide(X1,X3))) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_17972_n008')).
% 0.56/0.97 cnf('0.1.1.0',plain,
% 0.56/0.97 ( X1 = divide(X2,divide(divide(X2,X3),divide(X1,X3))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.1.2.0',plain,
% 0.56/0.97 ( divide(X1,divide(divide(X1,X2),divide(X3,X2))) = X3 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_1]).
% 0.56/0.97 cnf('0.2.0.0',axiom,
% 0.56/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_17972_n008')).
% 0.56/0.97 cnf('0.2.1.0',plain,
% 0.56/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.2.2.0',plain,
% 0.56/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_2]).
% 0.56/0.97 cnf('0.3.0.0',axiom,
% 0.56/0.97 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_17972_n008')).
% 0.56/0.97 cnf('0.3.1.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.56/0.97 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.56/0.97 cnf('0.3.2.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_3]).
% 0.56/0.97 cnf('0.4.0.0',plain,
% 0.56/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.56/0.97 cnf('0.4.0.1',plain,
% 0.56/0.97 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.4.1.0',plain,
% 0.56/0.97 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.56/0.97 [weight('<39,2,3,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.4.2.0',plain,
% 0.56/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_4]).
% 0.56/0.97 cnf('0.5.0.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.5.1.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/0.97 [weight('<53,4,3,[1,0,0,0]>')]).
% 0.56/0.97 cnf('0.5.2.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_5]).
% 0.56/0.97 cnf('0.6.0.0',plain,
% 0.56/0.97 ( X1 = divide(X2,inverse(divide(X1,X2))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.6.1.0',plain,
% 0.56/0.97 ( X1 = divide(X2,inverse(divide(X1,X2))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.56/0.97 [weight('<55,3,1,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.6.1.1',plain,
% 0.56/0.97 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.6.1.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.6.2.0',plain,
% 0.56/0.97 ( multiply(X1,divide(X2,X1)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.6.1.1',theory(equality)]),
% 0.56/0.97 [x,rule_6]).
% 0.56/0.97 cnf('0.7.0.0',plain,
% 0.56/0.97 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.7.1.0',plain,
% 0.56/0.97 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.97 [weight('<55,6,4,[1,0,0,2]>')]).
% 0.56/0.97 cnf('0.7.2.0',plain,
% 0.56/0.97 ( multiply(inverse(X1),multiply(X2,X1)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_7]).
% 0.56/0.97 cnf('0.8.0.0',plain,
% 0.56/0.97 ( X1 = multiply(inverse(divide(X2,X1)),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.8.1.0',plain,
% 0.56/0.97 ( X1 = multiply(inverse(divide(X2,X1)),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.97 [weight('<55,7,6,[1,0,0,3]>')]).
% 0.56/0.97 cnf('0.8.2.0',plain,
% 0.56/0.97 ( multiply(inverse(divide(X1,X2)),X1) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_8]).
% 0.56/0.97 cnf('0.9.0.0',plain,
% 0.56/0.97 ( inverse(divide(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.9.1.0',plain,
% 0.56/0.97 ( inverse(divide(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.56/0.97 [weight('<44,8,7,[0,0,0,3]>')]).
% 0.56/0.97 cnf('0.9.2.0',plain,
% 0.56/0.97 ( inverse(divide(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_9]).
% 0.56/0.97 cnf('0.10.0.0',plain,
% 0.56/0.97 ( multiply(inverse(divide(X1,X2)),X1) = X2 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.56/0.97 cnf('0.10.0.1',plain,
% 0.56/0.97 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.10.0.0','0.9.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.10.1.0',plain,
% 0.56/0.97 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.56/0.97 [weight('<55,8,9,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.10.2.0',plain,
% 0.56/0.97 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_10]).
% 0.56/0.97 cnf('0.14.0.0',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(X2,inverse(X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.14.1.0',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(X2,inverse(X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.56/0.97 [weight('<63,6,3,[1,0,0,2]>')]).
% 0.56/0.97 cnf('0.14.2.0',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(X2,inverse(X2)) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.14.1.0']),
% 0.56/0.97 [equation_1]).
% 0.56/0.97 cnf('0.14.2.1',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(c3,inverse(c3)) ),
% 0.56/0.97 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.14.2.2',plain,
% 0.56/0.97 ( divide(c3,c3) = multiply(X1,inverse(X1)) ),
% 0.56/0.97 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.15.0.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(X2,X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.14.2.0','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','R')]).
% 0.56/0.97 cnf('0.15.1.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(X2,X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.56/0.97 [weight('<48,14,14,[1,1,1,0]>')]).
% 0.56/0.97 cnf('0.15.2.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(X2,X2) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.15.1.0']),
% 0.56/0.97 [equation_2]).
% 0.56/0.97 cnf('0.15.2.1',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(c3,c3) ),
% 0.56/0.97 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.15.2.2',plain,
% 0.56/0.97 ( divide(c3,c3) = divide(X1,X1) ),
% 0.56/0.97 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.16.0.0',plain,
% 0.56/0.97 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.1.2.0','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.16.1.0',plain,
% 0.56/0.97 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.56/0.97 [weight('<41,15,1,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.16.2.0',plain,
% 0.56/0.97 ( divide(X1,divide(X2,X2)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_14]).
% 0.56/0.97 cnf('0.17.0.0',plain,
% 0.56/0.97 ( X1 = multiply(divide(X2,X2),X1) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.6.2.0','0.16.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.17.0.1',plain,
% 0.56/0.97 ( X1 = inverse(inverse(X1)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.17.0.0','0.5.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.17.1.0',plain,
% 0.56/0.97 ( X1 = inverse(inverse(X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.56/0.97 [weight('<19,16,6,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.17.2.0',plain,
% 0.56/0.97 ( inverse(inverse(X1)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_15]).
% 0.56/0.97 cnf('0.18.0.0',plain,
% 0.56/0.97 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.4.2.0','0.17.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.18.1.0',plain,
% 0.56/0.97 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.56/0.97 [weight('<39,17,4,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.18.2.0',plain,
% 0.56/0.97 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_16]).
% 0.56/0.97 cnf('0.21.0.0',plain,
% 0.56/0.97 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.1.2.0','0.16.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.21.1.0',plain,
% 0.56/0.97 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.56/0.97 [weight('<41,16,1,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.21.2.0',plain,
% 0.56/0.97 ( divide(X1,divide(X1,X2)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_19]).
% 0.56/0.97 cnf('0.22.0.0',plain,
% 0.56/0.97 ( divide(multiply(inverse(inverse(X1)),X2),X1) = X2 ),
% 0.56/0.97 inference(cp,[status(thm)],['0.18.2.0','0.10.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.22.0.1',plain,
% 0.56/0.97 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.22.0.0','0.17.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1.1','L')]).
% 0.56/0.97 cnf('0.22.1.0',plain,
% 0.56/0.97 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.56/0.97 [weight('<41,18,10,[1,0,0,0]>')]).
% 0.56/0.97 cnf('0.22.2.0',plain,
% 0.56/0.97 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_20]).
% 0.56/0.97 cnf('0.23.0.0',plain,
% 0.56/0.97 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.6.2.0','0.21.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.23.1.0',plain,
% 0.56/0.97 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.56/0.97 [weight('<41,21,6,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.23.2.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_21]).
% 0.56/0.97 cnf('0.24.0.0',plain,
% 0.56/0.97 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.7.2.0','0.23.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.24.1.0',plain,
% 0.56/0.97 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.56/0.97 [weight('<39,23,7,[0,0,0,3]>')]).
% 0.56/0.97 cnf('0.24.2.0',plain,
% 0.56/0.97 ( multiply(inverse(X1),X2) = divide(X2,X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_22]).
% 0.56/0.97 cnf('0.25.0.0',plain,
% 0.56/0.97 ( inverse(divide(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.56/0.97 cnf('0.25.0.1',plain,
% 0.56/0.97 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.25.0.0','0.24.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.25.1.0',plain,
% 0.56/0.97 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.56/0.97 [weight('<39,9,24,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.25.2.0',plain,
% 0.56/0.97 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_23]).
% 0.56/0.97 cnf('0.32.0.0',plain,
% 0.56/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.23.2.0','0.22.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.32.1.0',plain,
% 0.56/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.56/0.97 [weight('<48,23,22,[1,0,0,1]>')]).
% 0.56/0.97 cnf('0.32.2.0',plain,
% 0.56/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.32.1.0']),
% 0.56/0.97 [equation_4]).
% 0.56/0.97 cnf('0.35.0.0',plain,
% 0.56/0.97 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.4.2.0','0.25.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.35.1.0',plain,
% 0.56/0.97 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.56/0.97 [weight('<65,25,4,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.35.2.0',plain,
% 0.56/0.97 ( divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_31]).
% 0.56/0.97 cnf('0.38.0.0',plain,
% 0.56/0.97 ( divide(X1,divide(divide(X1,X2),divide(X3,X2))) = X3 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.56/0.97 cnf('0.38.0.1',plain,
% 0.56/0.97 ( multiply(X1,divide(divide(X3,X2),divide(X1,X2))) = X3 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.38.0.0','0.35.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.38.0.2',plain,
% 0.56/0.97 ( multiply(X1,multiply(divide(X3,X2),divide(X2,X1))) = X3 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.38.0.1','0.35.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.38.1.0',plain,
% 0.56/0.97 ( multiply(X1,multiply(divide(X3,X2),divide(X2,X1))) = X3 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.38.0.2']),
% 0.56/0.97 [weight('<109,1,35,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.38.2.0',plain,
% 0.56/0.97 ( multiply(X1,multiply(divide(X2,X3),divide(X3,X1))) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_34]).
% 0.56/0.97 cnf('0.39.0.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(X1,X3) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.22.2.0','0.38.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.39.1.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(X1,X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.56/0.97 [weight('<87,38,22,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.39.2.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X2),divide(X2,X3)) = divide(X1,X3) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_35]).
% 0.56/0.97 cnf('0.40.0.0',plain,
% 0.56/0.97 ( divide(multiply(X1,X2),X3) = multiply(X2,divide(X1,X3)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.39.2.0','0.22.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.40.1.0',plain,
% 0.56/0.97 ( divide(multiply(X1,X2),X3) = multiply(X2,divide(X1,X3)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.56/0.97 [weight('<65,39,22,[1,0,0,1]>')]).
% 0.56/0.97 cnf('0.40.2.0',plain,
% 0.56/0.97 ( divide(multiply(X1,X2),X3) = multiply(X2,divide(X1,X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_36]).
% 0.56/0.97 cnf('0.42.0.0',plain,
% 0.56/0.97 ( multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X2,X1),X3) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.42.0.1',plain,
% 0.56/0.97 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X2,X1),X3) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.42.0.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.42.1.0',plain,
% 0.56/0.97 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X2,X1),X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.56/0.97 [weight('<65,40,4,[1,0,0,0]>')]).
% 0.56/0.97 cnf('0.42.2.0',plain,
% 0.56/0.97 ( multiply(multiply(X1,X2),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_38]).
% 0.56/0.97 cnf('1.0.0.0',conjecture,
% 0.56/0.97 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_17972_n008',conjecture_1)).
% 0.56/0.97 cnf('1.0.0.1',plain,
% 0.56/0.97 ( multiply(multiply(b3,a3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.32.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('1.0.0.2',plain,
% 0.56/0.97 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.42.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.3',plain,
% 0.56/0.97 ( $true ),
% 0.56/0.97 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.56/0.97 [conjecture_1]).
% 0.56/0.97
% 0.56/0.97 Proved Goals:
% 0.56/0.97 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.56/0.97 1 goal was specified, which was proved.
% 0.56/0.97 % SZS output end CNFRefutation
% 0.56/0.97 #END OF PROOF
% 0.56/0.97
% 0.56/0.97 Problem WALDMEISTER_17972_n008
% 0.56/0.97 CPs.gen 523
% 0.56/0.97 CPs.reexp 0
% 0.56/0.97 Select 112
% 0.56/0.97 R 38
% 0.56/0.97 E 4
% 0.56/0.97 vsize 6.5M
% 0.56/0.97 rss 3.8M
% 0.56/0.97 process.time 0.004s
% 0.56/0.97 wallclock.time 0.004s
% 0.56/0.97 status S
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Waldmeister states: Goal proved.
% 0.56/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------