%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 12:26:55 EDT 2022
% Result : Unsatisfiable 0.59s 0.97s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 23:47:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.97 ********************************************************************************
% 0.59/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.97 * |/ | \/ | *
% 0.59/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.97 * A. Jaeger and B. Loechner | | *
% 0.59/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.97 ********************************************************************************
% 0.59/0.97
% 0.59/0.97
% 0.59/0.97 Goals:
% 0.59/0.97 ------
% 0.59/0.97
% 0.59/0.97 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.59/0.97
% 0.59/0.97 Detected structure: Orkus
% 0.59/0.97 ********************************************************************************
% 0.59/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.97 ********************************************************************************
% 0.59/0.97
% 0.59/0.97 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.59/0.97 goal joined
% 0.59/0.97 % SZS status Unsatisfiable
% 0.59/0.97 #START OF PROOF
% 0.59/0.97 % SZS output start CNFRefutation
% 0.59/0.97 cnf('0.1.0.0',axiom,
% 0.59/0.97 ( X1 = divide(X2,inverse(divide(divide(X1,X3),divide(X2,X3)))) ),
% 0.59/0.97 file('/tmp/WALDMEISTER_16707_n009')).
% 0.59/0.97 cnf('0.1.1.0',plain,
% 0.59/0.97 ( X1 = divide(X2,inverse(divide(divide(X1,X3),divide(X2,X3)))) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.97 cnf('0.1.2.0',plain,
% 0.59/0.97 ( divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_1]).
% 0.59/0.97 cnf('0.2.0.0',axiom,
% 0.59/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.59/0.97 file('/tmp/WALDMEISTER_16707_n009')).
% 0.59/0.97 cnf('0.2.1.0',plain,
% 0.59/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/0.97 cnf('0.2.2.0',plain,
% 0.59/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.59/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/0.97 [u,rule_2]).
% 0.59/0.97 cnf('0.3.0.0',plain,
% 0.59/0.97 ( divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2 ),
% 0.59/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.59/0.97 cnf('0.3.0.1',plain,
% 0.59/0.97 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.59/0.97 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.97 [pos('L','L')]).
% 0.59/0.97 cnf('0.3.1.0',plain,
% 0.59/0.97 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.3.0.1']),
% 0.59/0.97 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.59/0.97 cnf('0.3.2.0',plain,
% 0.59/0.97 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.97 [u,rule_3]).
% 0.59/0.97 cnf('0.4.0.0',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(multiply(X1,X3),divide(X2,inverse(X3)))) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2.1','L')]).
% 0.59/0.97 cnf('0.4.0.1',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(multiply(X1,X3),multiply(X2,X3))) ),
% 0.59/0.97 inference(reduction,[status(thm)],['0.4.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.97 [pos('R.2.2','L')]).
% 0.59/0.97 cnf('0.4.1.0',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(multiply(X1,X3),multiply(X2,X3))) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.59/0.97 [weight('<109,3,2,[1,0,0,3]>')]).
% 0.59/0.97 cnf('0.4.2.0',plain,
% 0.59/0.97 ( multiply(X1,divide(multiply(X2,X3),multiply(X1,X3))) = X2 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_4]).
% 0.59/0.97 cnf('0.5.0.0',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(X3,multiply(X2,divide(divide(X3,X4),divide(X1,X4))))) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2.1','L')]).
% 0.59/0.97 cnf('0.5.1.0',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(X3,multiply(X2,divide(divide(X3,X4),divide(X1,X4))))) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/0.97 [weight('<209,4,3,[1,0,0,3]>')]).
% 0.59/0.97 cnf('0.5.2.0',plain,
% 0.59/0.97 ( multiply(X1,divide(X2,multiply(X1,divide(divide(X2,X3),divide(X4,X3))))) = X4 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_5]).
% 0.59/0.97 cnf('0.6.0.0',plain,
% 0.59/0.97 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2.2','L')]).
% 0.59/0.97 cnf('0.6.1.0',plain,
% 0.59/0.97 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/0.97 [weight('<41,5,3,[1,0,0,4]>')]).
% 0.59/0.97 cnf('0.6.2.0',plain,
% 0.59/0.97 ( multiply(X1,divide(X2,X2)) = X1 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_6]).
% 0.59/0.97 cnf('0.7.0.0',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(X1,multiply(X2,divide(X3,X3)))) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2.1','L')]).
% 0.59/0.97 cnf('0.7.0.1',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.59/0.97 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.59/0.97 [pos('R.2.2','L')]).
% 0.59/0.97 cnf('0.7.1.0',plain,
% 0.59/0.97 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.59/0.97 [weight('<41,6,4,[0,0,0,3]>')]).
% 0.59/0.97 cnf('0.7.2.0',plain,
% 0.59/0.97 ( multiply(X1,divide(X2,X1)) = X2 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_7]).
% 0.59/0.97 cnf('0.9.0.0',plain,
% 0.59/0.97 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2','L')]).
% 0.59/0.97 cnf('0.9.1.0',plain,
% 0.59/0.97 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.59/0.97 [weight('<55,7,2,[1,0,0,2]>')]).
% 0.59/0.97 cnf('0.9.2.0',plain,
% 0.59/0.97 ( multiply(inverse(X1),multiply(X2,X1)) = X2 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_9]).
% 0.59/0.97 cnf('0.11.0.0',plain,
% 0.59/0.97 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2','L')]).
% 0.59/0.97 cnf('0.11.1.0',plain,
% 0.59/0.97 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.59/0.97 [weight('<55,9,6,[1,0,0,3]>')]).
% 0.59/0.97 cnf('0.11.2.0',plain,
% 0.59/0.97 ( multiply(inverse(divide(X1,X1)),X2) = X2 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_11]).
% 0.59/0.97 cnf('0.12.0.0',plain,
% 0.59/0.97 ( X1 = multiply(inverse(divide(X2,X2)),divide(multiply(X1,X3),X3)) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.4.2.0','0.11.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2.2','L')]).
% 0.59/0.97 cnf('0.12.0.1',plain,
% 0.59/0.97 ( X1 = divide(multiply(X1,X3),X3) ),
% 0.59/0.97 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 0.59/0.97 [pos('R','L')]).
% 0.59/0.97 cnf('0.12.1.0',plain,
% 0.59/0.97 ( X1 = divide(multiply(X1,X3),X3) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.59/0.97 [weight('<41,11,4,[0,0,0,6]>')]).
% 0.59/0.97 cnf('0.12.2.0',plain,
% 0.59/0.97 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.59/0.97 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/0.97 [x,rule_12]).
% 0.59/0.97 cnf('0.27.0.0',plain,
% 0.59/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/0.97 inference(cp,[status(thm)],['0.7.2.0','0.12.2.0',theory(equality)]),
% 0.59/0.97 [pos('L.2','L')]).
% 0.59/0.97 cnf('0.27.1.0',plain,
% 0.59/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/0.97 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.59/0.97 [weight('<48,12,7,[0,0,0,2]>')]).
% 0.59/0.97 cnf('0.27.2.0',plain,
% 0.59/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/0.97 inference(activate,[status(thm)],['0.27.1.0']),
% 0.59/0.97 [equation_1]).
% 0.59/0.97 cnf('1.0.0.0',conjecture,
% 0.59/0.97 ( multiply(a,b) = multiply(b,a) ),
% 0.59/0.97 file('/tmp/WALDMEISTER_16707_n009',conjecture_1)).
% 0.59/0.97 cnf('1.0.0.1',plain,
% 0.59/0.97 ( multiply(b,a) = multiply(b,a) ),
% 0.59/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.0',theory(equality)]),
% 0.59/0.97 [pos('L','L')]).
% 0.59/0.97 cnf('1.0.0.2',plain,
% 0.59/0.97 ( $true ),
% 0.59/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/0.97 [conjecture_1]).
% 0.59/0.97
% 0.59/0.97 Proved Goals:
% 0.59/0.97 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.59/0.97 1 goal was specified, which was proved.
% 0.59/0.97 % SZS output end CNFRefutation
% 0.59/0.97 #END OF PROOF
% 0.59/0.97
% 0.59/0.97 Problem WALDMEISTER_16707_n009
% 0.59/0.97 CPs.gen 269
% 0.59/0.97 CPs.reexp 0
% 0.59/0.97 Select 41
% 0.59/0.97 R 26
% 0.59/0.97 E 1
% 0.59/0.97 vsize 6.4M
% 0.59/0.97 rss 3.8M
% 0.59/0.97 process.time 0.003s
% 0.59/0.97 wallclock.time 0.003s
% 0.59/0.97 status S
% 0.59/0.97
% 0.59/0.97
% 0.59/0.97 Waldmeister states: Goal proved.
% 0.59/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------