%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP532-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 12:26:49 EDT 2022
% Result : Unsatisfiable 0.47s 0.85s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP532-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.11 % Command : woody %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 13 23:49:42 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.47/0.85 ********************************************************************************
% 0.47/0.85 * W A L D M E I S T E R \| \ / \|/ *
% 0.47/0.85 * |/ | \/ | *
% 0.47/0.85 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.47/0.85 * A. Jaeger and B. Loechner | | *
% 0.47/0.85 * <waldmeister@informatik.uni-kl.de> | *
% 0.47/0.85 ********************************************************************************
% 0.47/0.85
% 0.47/0.85
% 0.47/0.85 Goals:
% 0.47/0.85 ------
% 0.47/0.85
% 0.47/0.85 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.47/0.85
% 0.47/0.85 Detected structure: Orkus
% 0.47/0.85 ********************************************************************************
% 0.47/0.85 ****************************** COMPLETION - PROOF ******************************
% 0.47/0.85 ********************************************************************************
% 0.47/0.85
% 0.47/0.85 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.47/0.85 goal joined
% 0.47/0.85 % SZS status Unsatisfiable
% 0.47/0.85 #START OF PROOF
% 0.47/0.85 % SZS output start CNFRefutation
% 0.47/0.85 cnf('0.1.0.0',axiom,
% 0.47/0.85 ( X1 = divide(divide(X2,divide(X3,X1)),divide(X2,X3)) ),
% 0.47/0.85 file('/tmp/WALDMEISTER_32078_n032')).
% 0.47/0.85 cnf('0.1.1.0',plain,
% 0.47/0.85 ( X1 = divide(divide(X2,divide(X3,X1)),divide(X2,X3)) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.47/0.85 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.47/0.85 cnf('0.1.2.0',plain,
% 0.47/0.85 ( divide(divide(X1,divide(X2,X3)),divide(X1,X2)) = X3 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.47/0.85 [x,rule_1]).
% 0.47/0.85 cnf('0.2.0.0',axiom,
% 0.47/0.85 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.47/0.85 file('/tmp/WALDMEISTER_32078_n032')).
% 0.47/0.85 cnf('0.2.1.0',plain,
% 0.47/0.85 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.47/0.85 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.47/0.85 cnf('0.2.2.0',plain,
% 0.47/0.85 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_2]).
% 0.47/0.85 cnf('0.3.0.0',axiom,
% 0.47/0.85 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.47/0.85 file('/tmp/WALDMEISTER_32078_n032')).
% 0.47/0.85 cnf('0.3.1.0',plain,
% 0.47/0.85 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.47/0.85 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.47/0.85 cnf('0.3.2.0',plain,
% 0.47/0.85 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_3]).
% 0.47/0.85 cnf('0.4.0.0',plain,
% 0.47/0.85 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.47/0.85 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.47/0.85 cnf('0.4.0.1',plain,
% 0.47/0.85 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.2','L')]).
% 0.47/0.85 cnf('0.4.1.0',plain,
% 0.47/0.85 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.47/0.85 [weight('<39,2,3,[0,0,0,0]>')]).
% 0.47/0.85 cnf('0.4.2.0',plain,
% 0.47/0.85 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_4]).
% 0.47/0.85 cnf('0.5.0.0',plain,
% 0.47/0.85 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.5.1.0',plain,
% 0.47/0.85 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.47/0.85 [weight('<53,4,3,[1,0,0,0]>')]).
% 0.47/0.85 cnf('0.5.2.0',plain,
% 0.47/0.85 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_5]).
% 0.47/0.85 cnf('0.6.0.0',plain,
% 0.47/0.85 ( inverse(divide(divide(X1,X2),X1)) = X2 ),
% 0.47/0.85 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.6.1.0',plain,
% 0.47/0.85 ( inverse(divide(divide(X1,X2),X1)) = X2 ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.47/0.85 [weight('<55,3,1,[1,0,0,0]>')]).
% 0.47/0.85 cnf('0.6.2.0',plain,
% 0.47/0.85 ( inverse(divide(divide(X1,X2),X1)) = X2 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_6]).
% 0.47/0.85 cnf('0.7.0.0',plain,
% 0.47/0.85 ( X1 = inverse(inverse(X1)) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.1','L')]).
% 0.47/0.85 cnf('0.7.1.0',plain,
% 0.47/0.85 ( X1 = inverse(inverse(X1)) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.47/0.85 [weight('<19,6,3,[1,0,0,1]>')]).
% 0.47/0.85 cnf('0.7.2.0',plain,
% 0.47/0.85 ( inverse(inverse(X1)) = X1 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.47/0.85 [x,rule_7]).
% 0.47/0.85 cnf('0.9.0.0',plain,
% 0.47/0.85 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.47/0.85 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.47/0.85 cnf('0.9.0.1',plain,
% 0.47/0.85 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.47/0.85 [pos('R','L')]).
% 0.47/0.85 cnf('0.9.1.0',plain,
% 0.47/0.85 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.47/0.85 [weight('<41,5,7,[0,0,0,0]>')]).
% 0.47/0.85 cnf('0.9.2.0',plain,
% 0.47/0.85 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_9]).
% 0.47/0.85 cnf('0.10.0.0',plain,
% 0.47/0.85 ( divide(divide(X1,X2),X1) = inverse(X2) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.1','L')]).
% 0.47/0.85 cnf('0.10.1.0',plain,
% 0.47/0.85 ( divide(divide(X1,X2),X1) = inverse(X2) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.47/0.85 [weight('<47,7,6,[1,0,0,1]>')]).
% 0.47/0.85 cnf('0.10.2.0',plain,
% 0.47/0.85 ( divide(divide(X1,X2),X1) = inverse(X2) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_10]).
% 0.47/0.85 cnf('0.11.0.0',plain,
% 0.47/0.85 ( inverse(inverse(X1)) = divide(multiply(X2,X1),X2) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.1','L')]).
% 0.47/0.85 cnf('0.11.0.1',plain,
% 0.47/0.85 ( X1 = divide(multiply(X2,X1),X2) ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.11.0.0','0.7.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.11.1.0',plain,
% 0.47/0.85 ( X1 = divide(multiply(X2,X1),X2) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.47/0.85 [weight('<41,10,4,[1,0,0,1]>')]).
% 0.47/0.85 cnf('0.11.2.0',plain,
% 0.47/0.85 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.47/0.85 [x,rule_11]).
% 0.47/0.85 cnf('0.12.0.0',plain,
% 0.47/0.85 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.11.2.0','0.9.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.1','L')]).
% 0.47/0.85 cnf('0.12.1.0',plain,
% 0.47/0.85 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.47/0.85 [weight('<41,11,9,[1,0,0,1]>')]).
% 0.47/0.85 cnf('0.12.2.0',plain,
% 0.47/0.85 ( divide(X1,divide(X2,X2)) = X1 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.47/0.85 [x,rule_12]).
% 0.47/0.85 cnf('0.13.0.0',plain,
% 0.47/0.85 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.1.2.0','0.12.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.1','L')]).
% 0.47/0.85 cnf('0.13.1.0',plain,
% 0.47/0.85 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.47/0.85 [weight('<41,12,1,[0,0,0,1]>')]).
% 0.47/0.85 cnf('0.13.2.0',plain,
% 0.47/0.85 ( divide(X1,divide(X1,X2)) = X2 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.47/0.85 [x,rule_13]).
% 0.47/0.85 cnf('0.16.0.0',plain,
% 0.47/0.85 ( X1 = divide(divide(X1,X2),inverse(X2)) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.13.2.0','0.10.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.2','L')]).
% 0.47/0.85 cnf('0.16.0.1',plain,
% 0.47/0.85 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.16.0.0','0.4.2.0',theory(equality)]),
% 0.47/0.85 [pos('R','L')]).
% 0.47/0.85 cnf('0.16.1.0',plain,
% 0.47/0.85 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.47/0.85 [weight('<41,13,10,[1,0,0,2]>')]).
% 0.47/0.85 cnf('0.16.2.0',plain,
% 0.47/0.85 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.47/0.85 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.47/0.85 [x,rule_16]).
% 0.47/0.85 cnf('0.24.0.0',plain,
% 0.47/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.16.2.0','0.11.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.1','L')]).
% 0.47/0.85 cnf('0.24.1.0',plain,
% 0.47/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.47/0.85 [weight('<48,16,11,[1,0,0,1]>')]).
% 0.47/0.85 cnf('0.24.2.0',plain,
% 0.47/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.47/0.85 inference(activate,[status(thm)],['0.24.1.0']),
% 0.47/0.85 [equation_2]).
% 0.47/0.85 cnf('1.0.0.0',conjecture,
% 0.47/0.85 ( multiply(a,b) = multiply(b,a) ),
% 0.47/0.85 file('/tmp/WALDMEISTER_32078_n032',conjecture_1)).
% 0.47/0.85 cnf('1.0.0.1',plain,
% 0.47/0.85 ( multiply(b,a) = multiply(b,a) ),
% 0.47/0.85 inference(reduction,[status(thm)],['1.0.0.0','0.24.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('1.0.0.2',plain,
% 0.47/0.85 ( $true ),
% 0.47/0.85 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.47/0.85 [conjecture_1]).
% 0.47/0.85
% 0.47/0.85 Proved Goals:
% 0.47/0.85 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.47/0.85 1 goal was specified, which was proved.
% 0.47/0.85 % SZS output end CNFRefutation
% 0.47/0.85 #END OF PROOF
% 0.47/0.85
% 0.47/0.85 Problem WALDMEISTER_32078_n032
% 0.47/0.85 CPs.gen 191
% 0.47/0.85 CPs.reexp 0
% 0.47/0.85 Select 32
% 0.47/0.85 R 22
% 0.47/0.85 E 2
% 0.47/0.85 vsize 6.4M
% 0.47/0.85 rss 3.8M
% 0.47/0.85 process.time 0.003s
% 0.47/0.85 wallclock.time 0.003s
% 0.47/0.85 status S
% 0.47/0.85
% 0.47/0.85
% 0.47/0.85 Waldmeister states: Goal proved.
% 0.47/0.85 % SZS status Unsatisfiable
%------------------------------------------------------------------------------