TSTP Solution File: GRP564-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n015.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 0.99s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n015.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 14:05:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.59/0.99
% 0.59/0.99 Detected structure: Orkus
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.59/0.99 goal joined
% 0.59/0.99 % SZS status Unsatisfiable
% 0.59/0.99 #START OF PROOF
% 0.59/0.99 % SZS output start CNFRefutation
% 0.59/0.99 cnf('0.1.0.0',axiom,
% 0.59/0.99 ( X1 = divide(divide(divide(X2,inverse(X1)),X3),divide(X2,X3)) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_7639_n015')).
% 0.59/0.99 cnf('0.1.1.0',plain,
% 0.59/0.99 ( X1 = divide(divide(divide(X2,inverse(X1)),X3),divide(X2,X3)) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.99 cnf('0.1.2.0',plain,
% 0.59/0.99 ( divide(divide(divide(X1,inverse(X2)),X3),divide(X1,X3)) = X2 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_1]).
% 0.59/0.99 cnf('0.2.0.0',axiom,
% 0.59/0.99 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_7639_n015')).
% 0.59/0.99 cnf('0.2.1.0',plain,
% 0.59/0.99 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/0.99 cnf('0.2.2.0',plain,
% 0.59/0.99 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.59/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_2]).
% 0.59/0.99 cnf('0.3.0.0',plain,
% 0.59/0.99 ( divide(divide(divide(X1,inverse(X2)),X3),divide(X1,X3)) = X2 ),
% 0.59/0.99 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.59/0.99 cnf('0.3.0.1',plain,
% 0.59/0.99 ( divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2 ),
% 0.59/0.99 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.1.1','L')]).
% 0.59/0.99 cnf('0.3.1.0',plain,
% 0.59/0.99 ( divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.3.0.1']),
% 0.59/0.99 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.59/0.99 cnf('0.3.2.0',plain,
% 0.59/0.99 ( divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_3]).
% 0.59/0.99 cnf('0.4.0.0',plain,
% 0.59/0.99 ( X1 = divide(multiply(multiply(X2,X1),X3),divide(X2,inverse(X3))) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.1','L')]).
% 0.59/0.99 cnf('0.4.0.1',plain,
% 0.59/0.99 ( X1 = divide(multiply(multiply(X2,X1),X3),multiply(X2,X3)) ),
% 0.59/0.99 inference(reduction,[status(thm)],['0.4.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.99 [pos('R.2','L')]).
% 0.59/0.99 cnf('0.4.1.0',plain,
% 0.59/0.99 ( X1 = divide(multiply(multiply(X2,X1),X3),multiply(X2,X3)) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.59/0.99 [weight('<109,3,2,[1,0,0,1]>')]).
% 0.59/0.99 cnf('0.4.2.0',plain,
% 0.59/0.99 ( divide(multiply(multiply(X1,X2),X3),multiply(X1,X3)) = X2 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_4]).
% 0.59/0.99 cnf('0.5.0.0',plain,
% 0.59/0.99 ( X1 = divide(X2,divide(multiply(X3,X2),multiply(X3,X1))) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.1','L')]).
% 0.59/0.99 cnf('0.5.1.0',plain,
% 0.59/0.99 ( X1 = divide(X2,divide(multiply(X3,X2),multiply(X3,X1))) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/0.99 [weight('<109,4,3,[0,0,0,1]>')]).
% 0.59/0.99 cnf('0.5.2.0',plain,
% 0.59/0.99 ( divide(X1,divide(multiply(X2,X1),multiply(X2,X3))) = X3 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_5]).
% 0.59/0.99 cnf('0.6.0.0',plain,
% 0.59/0.99 ( X1 = divide(divide(multiply(divide(multiply(X2,X3),X4),X1),divide(X2,X4)),X3) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.2','L')]).
% 0.59/0.99 cnf('0.6.1.0',plain,
% 0.59/0.99 ( X1 = divide(divide(multiply(divide(multiply(X2,X3),X4),X1),divide(X2,X4)),X3) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/0.99 [weight('<209,3,3,[0,0,0,6]>')]).
% 0.59/0.99 cnf('0.6.2.0',plain,
% 0.59/0.99 ( divide(divide(multiply(divide(multiply(X1,X2),X3),X4),divide(X1,X3)),X2) = X4 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_6]).
% 0.59/0.99 cnf('0.10.0.0',plain,
% 0.59/0.99 ( X1 = multiply(divide(multiply(divide(multiply(X2,inverse(X3)),X4),X1),divide(X2,X4)),X3) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.99 [pos('L','L')]).
% 0.59/0.99 cnf('0.10.1.0',plain,
% 0.59/0.99 ( X1 = multiply(divide(multiply(divide(multiply(X2,inverse(X3)),X4),X1),divide(X2,X4)),X3) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.59/0.99 [weight('<239,6,2,[1,0,0,0]>')]).
% 0.59/0.99 cnf('0.10.2.0',plain,
% 0.59/0.99 ( multiply(divide(multiply(divide(multiply(X1,inverse(X2)),X3),X4),divide(X1,X3)),X2) = X4 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_10]).
% 0.59/0.99 cnf('0.11.0.0',plain,
% 0.59/0.99 ( X1 = divide(divide(X2,divide(divide(multiply(X3,inverse(X1)),X4),divide(X3,X4))),X2) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.6.2.0','0.10.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.1.1','L')]).
% 0.59/0.99 cnf('0.11.0.1',plain,
% 0.59/0.99 ( X1 = divide(divide(X2,inverse(X1)),X2) ),
% 0.59/0.99 inference(reduction,[status(thm)],['0.11.0.0','0.3.2.0',theory(equality)]),
% 0.59/0.99 [pos('R.1.2','L')]).
% 0.59/0.99 cnf('0.11.0.2',plain,
% 0.59/0.99 ( X1 = divide(multiply(X2,X1),X2) ),
% 0.59/0.99 inference(reduction,[status(thm)],['0.11.0.1','0.2.2.0',theory(equality)]),
% 0.59/0.99 [pos('R.1','L')]).
% 0.59/0.99 cnf('0.11.1.0',plain,
% 0.59/0.99 ( X1 = divide(multiply(X2,X1),X2) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.11.0.2']),
% 0.59/0.99 [weight('<41,10,6,[0,0,0,2]>')]).
% 0.59/0.99 cnf('0.11.2.0',plain,
% 0.59/0.99 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_11]).
% 0.59/0.99 cnf('0.12.0.0',plain,
% 0.59/0.99 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.1','L')]).
% 0.59/0.99 cnf('0.12.1.0',plain,
% 0.59/0.99 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.59/0.99 [weight('<41,11,3,[0,0,0,1]>')]).
% 0.59/0.99 cnf('0.12.2.0',plain,
% 0.59/0.99 ( divide(X1,divide(X2,X2)) = X1 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_12]).
% 0.59/0.99 cnf('0.13.0.0',plain,
% 0.59/0.99 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.59/0.99 inference(cp,[status(thm)],['0.12.2.0','0.11.2.0',theory(equality)]),
% 0.59/0.99 [pos('L','L')]).
% 0.59/0.99 cnf('0.13.1.0',plain,
% 0.59/0.99 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.59/0.99 [weight('<41,12,11,[1,0,0,0]>')]).
% 0.59/0.99 cnf('0.13.2.0',plain,
% 0.59/0.99 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/0.99 [u,rule_13]).
% 0.59/0.99 cnf('0.15.0.0',plain,
% 0.59/0.99 ( X1 = divide(X2,divide(X2,multiply(divide(X3,X3),X1))) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.5.2.0','0.13.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.2.1','L')]).
% 0.59/0.99 cnf('0.15.0.1',plain,
% 0.59/0.99 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.59/0.99 inference(reduction,[status(thm)],['0.15.0.0','0.13.2.0',theory(equality)]),
% 0.59/0.99 [pos('R.2.2','L')]).
% 0.59/0.99 cnf('0.15.1.0',plain,
% 0.59/0.99 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.59/0.99 [weight('<41,13,5,[0,0,0,3]>')]).
% 0.59/0.99 cnf('0.15.2.0',plain,
% 0.59/0.99 ( divide(X1,divide(X1,X2)) = X2 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_15]).
% 0.59/0.99 cnf('0.17.0.0',plain,
% 0.59/0.99 ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.2','L')]).
% 0.59/0.99 cnf('0.17.1.0',plain,
% 0.59/0.99 ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.59/0.99 [weight('<47,15,2,[1,0,0,2]>')]).
% 0.59/0.99 cnf('0.17.2.0',plain,
% 0.59/0.99 ( divide(X1,multiply(X1,X2)) = inverse(X2) ),
% 0.59/0.99 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_17]).
% 0.59/0.99 cnf('0.18.0.0',plain,
% 0.59/0.99 ( inverse(X1) = divide(divide(X2,X2),X1) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.17.2.0','0.13.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.2','L')]).
% 0.59/0.99 cnf('0.18.1.0',plain,
% 0.59/0.99 ( inverse(X1) = divide(divide(X2,X2),X1) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.59/0.99 [weight('<47,17,13,[1,0,0,2]>')]).
% 0.59/0.99 cnf('0.18.2.0',plain,
% 0.59/0.99 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.59/0.99 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_18]).
% 0.59/0.99 cnf('0.21.0.0',plain,
% 0.59/0.99 ( X1 = divide(divide(multiply(divide(X2,X2),X1),X3),inverse(X3)) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.3.2.0','0.18.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.2','L')]).
% 0.59/0.99 cnf('0.21.0.1',plain,
% 0.59/0.99 ( X1 = multiply(divide(multiply(divide(X2,X2),X1),X3),X3) ),
% 0.59/0.99 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.99 [pos('R','L')]).
% 0.59/0.99 cnf('0.21.0.2',plain,
% 0.59/0.99 ( X1 = multiply(divide(X1,X3),X3) ),
% 0.59/0.99 inference(reduction,[status(thm)],['0.21.0.1','0.13.2.0',theory(equality)]),
% 0.59/0.99 [pos('R.1.1','L')]).
% 0.59/0.99 cnf('0.21.1.0',plain,
% 0.59/0.99 ( X1 = multiply(divide(X1,X3),X3) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.21.0.2']),
% 0.59/0.99 [weight('<41,18,3,[0,0,0,6]>')]).
% 0.59/0.99 cnf('0.21.2.0',plain,
% 0.59/0.99 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.59/0.99 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.59/0.99 [x,rule_21]).
% 0.59/0.99 cnf('0.29.0.0',plain,
% 0.59/0.99 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/0.99 inference(cp,[status(thm)],['0.21.2.0','0.11.2.0',theory(equality)]),
% 0.59/0.99 [pos('L.1','L')]).
% 0.59/0.99 cnf('0.29.1.0',plain,
% 0.59/0.99 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/0.99 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.59/0.99 [weight('<48,21,11,[1,0,0,1]>')]).
% 0.59/0.99 cnf('0.29.2.0',plain,
% 0.59/0.99 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/0.99 inference(activate,[status(thm)],['0.29.1.0']),
% 0.59/0.99 [equation_2]).
% 0.59/0.99 cnf('1.0.0.0',conjecture,
% 0.59/0.99 ( multiply(a,b) = multiply(b,a) ),
% 0.59/0.99 file('/tmp/WALDMEISTER_7639_n015',conjecture_1)).
% 0.59/0.99 cnf('1.0.0.1',plain,
% 0.59/0.99 ( multiply(b,a) = multiply(b,a) ),
% 0.59/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.29.2.0',theory(equality)]),
% 0.59/0.99 [pos('L','L')]).
% 0.59/0.99 cnf('1.0.0.2',plain,
% 0.59/0.99 ( $true ),
% 0.59/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/0.99 [conjecture_1]).
% 0.59/0.99
% 0.59/0.99 Proved Goals:
% 0.59/0.99 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.59/0.99 1 goal was specified, which was proved.
% 0.59/0.99 % SZS output end CNFRefutation
% 0.59/0.99 #END OF PROOF
% 0.59/0.99
% 0.59/0.99 Problem WALDMEISTER_7639_n015
% 0.59/0.99 CPs.gen 406
% 0.59/0.99 CPs.reexp 0
% 0.59/0.99 Select 54
% 0.59/0.99 R 27
% 0.59/0.99 E 2
% 0.59/0.99 vsize 6.4M
% 0.59/0.99 rss 3.8M
% 0.59/0.99 process.time 0.004s
% 0.59/0.99 wallclock.time 0.004s
% 0.59/0.99 status S
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Waldmeister states: Goal proved.
% 0.59/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------