%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 0.96s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.04/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n028.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 12:20:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.95 * |/ | \/ | *
% 0.56/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.95 * A. Jaeger and B. Loechner | | *
% 0.56/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Goals:
% 0.56/0.95 ------
% 0.56/0.95
% 0.56/0.95 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.56/0.95
% 0.56/0.95 Detected structure: Orkus
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.96 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.56/0.96 goal joined
% 0.56/0.96 % SZS status Unsatisfiable
% 0.56/0.96 #START OF PROOF
% 0.56/0.96 % SZS output start CNFRefutation
% 0.56/0.96 cnf('0.1.0.0',axiom,
% 0.56/0.96 ( X1 = divide(divide(X2,inverse(divide(X1,divide(X2,X3)))),X3) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_3900_n028')).
% 0.56/0.96 cnf('0.1.1.0',plain,
% 0.56/0.96 ( X1 = divide(divide(X2,inverse(divide(X1,divide(X2,X3)))),X3) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.96 cnf('0.1.2.0',plain,
% 0.56/0.96 ( divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_1]).
% 0.56/0.96 cnf('0.2.0.0',axiom,
% 0.56/0.96 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_3900_n028')).
% 0.56/0.96 cnf('0.2.1.0',plain,
% 0.56/0.96 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.96 cnf('0.2.2.0',plain,
% 0.56/0.96 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_2]).
% 0.56/0.96 cnf('0.3.0.0',plain,
% 0.56/0.96 ( divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2 ),
% 0.56/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.56/0.96 cnf('0.3.0.1',plain,
% 0.56/0.96 ( divide(multiply(X1,divide(X2,divide(X1,X3))),X3) = X2 ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.3.1.0',plain,
% 0.56/0.96 ( divide(multiply(X1,divide(X2,divide(X1,X3))),X3) = X2 ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.3.0.1']),
% 0.56/0.96 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.56/0.96 cnf('0.3.2.0',plain,
% 0.56/0.96 ( divide(multiply(X1,divide(X2,divide(X1,X3))),X3) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_3]).
% 0.56/0.96 cnf('0.4.0.0',plain,
% 0.56/0.96 ( X1 = multiply(multiply(X2,divide(X1,divide(X2,inverse(X3)))),X3) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.96 [pos('L','L')]).
% 0.56/0.96 cnf('0.4.0.1',plain,
% 0.56/0.96 ( X1 = multiply(multiply(X2,divide(X1,multiply(X2,X3))),X3) ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.4.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.96 [pos('R.1.2.2','L')]).
% 0.56/0.96 cnf('0.4.1.0',plain,
% 0.56/0.96 ( X1 = multiply(multiply(X2,divide(X1,multiply(X2,X3))),X3) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.56/0.96 [weight('<109,3,2,[1,0,0,0]>')]).
% 0.56/0.96 cnf('0.4.2.0',plain,
% 0.56/0.96 ( multiply(multiply(X1,divide(X2,multiply(X1,X3))),X3) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_4]).
% 0.56/0.96 cnf('0.5.0.0',plain,
% 0.56/0.96 ( multiply(X1,divide(X2,divide(X1,divide(X3,X4)))) = divide(multiply(X3,X2),X4) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1.2','L')]).
% 0.56/0.96 cnf('0.5.1.0',plain,
% 0.56/0.96 ( multiply(X1,divide(X2,divide(X1,divide(X3,X4)))) = divide(multiply(X3,X2),X4) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/0.96 [weight('<149,3,3,[0,0,0,3]>')]).
% 0.56/0.96 cnf('0.5.2.0',plain,
% 0.56/0.96 ( multiply(X1,divide(X2,divide(X1,divide(X3,X4)))) = divide(multiply(X3,X2),X4) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_5]).
% 0.56/0.96 cnf('0.6.0.0',plain,
% 0.56/0.96 ( X1 = divide(divide(multiply(X2,X1),X3),divide(X2,X3)) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.6.1.0',plain,
% 0.56/0.96 ( X1 = divide(divide(multiply(X2,X1),X3),divide(X2,X3)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.56/0.96 [weight('<109,5,3,[0,0,0,1]>')]).
% 0.56/0.96 cnf('0.6.2.0',plain,
% 0.56/0.96 ( divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_6]).
% 0.56/0.96 cnf('0.7.0.0',plain,
% 0.56/0.96 ( X1 = divide(multiply(multiply(X2,X1),X3),divide(X2,inverse(X3))) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.7.0.1',plain,
% 0.56/0.96 ( X1 = divide(multiply(multiply(X2,X1),X3),multiply(X2,X3)) ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.7.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.96 [pos('R.2','L')]).
% 0.56/0.96 cnf('0.7.1.0',plain,
% 0.56/0.96 ( X1 = divide(multiply(multiply(X2,X1),X3),multiply(X2,X3)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.56/0.96 [weight('<109,6,2,[1,0,0,1]>')]).
% 0.56/0.96 cnf('0.7.2.0',plain,
% 0.56/0.96 ( divide(multiply(multiply(X1,X2),X3),multiply(X1,X3)) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_7]).
% 0.56/0.96 cnf('0.8.0.0',plain,
% 0.56/0.96 ( X1 = divide(X2,divide(multiply(X3,X2),multiply(X3,X1))) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.8.1.0',plain,
% 0.56/0.96 ( X1 = divide(X2,divide(multiply(X3,X2),multiply(X3,X1))) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.96 [weight('<109,7,6,[0,0,0,1]>')]).
% 0.56/0.96 cnf('0.8.2.0',plain,
% 0.56/0.96 ( divide(X1,divide(multiply(X2,X1),multiply(X2,X3))) = X3 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_8]).
% 0.56/0.96 cnf('0.13.0.0',plain,
% 0.56/0.96 ( divide(multiply(multiply(X1,X2),X3),multiply(X1,X4)) = multiply(X2,divide(X3,X4)) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.2.2','L')]).
% 0.56/0.96 cnf('0.13.1.0',plain,
% 0.56/0.96 ( divide(multiply(multiply(X1,X2),X3),multiply(X1,X4)) = multiply(X2,divide(X3,X4)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.56/0.96 [weight('<149,8,5,[0,0,0,4]>')]).
% 0.56/0.96 cnf('0.13.2.0',plain,
% 0.56/0.96 ( divide(multiply(multiply(X1,X2),X3),multiply(X1,X4)) = multiply(X2,divide(X3,X4)) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_13]).
% 0.56/0.96 cnf('0.14.0.0',plain,
% 0.56/0.96 ( divide(multiply(multiply(X1,X2),X3),multiply(X1,X3)) = X2 ),
% 0.56/0.96 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.56/0.96 cnf('0.14.0.1',plain,
% 0.56/0.96 ( multiply(X2,divide(X3,X3)) = X2 ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.14.0.0','0.13.2.0',theory(equality)]),
% 0.56/0.96 [pos('L','L')]).
% 0.56/0.96 cnf('0.14.1.0',plain,
% 0.56/0.96 ( multiply(X2,divide(X3,X3)) = X2 ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.56/0.96 [weight('<41,7,13,[0,0,0,0]>')]).
% 0.56/0.96 cnf('0.14.2.0',plain,
% 0.56/0.96 ( multiply(X1,divide(X2,X2)) = X1 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_14]).
% 0.56/0.96 cnf('0.15.0.0',plain,
% 0.56/0.96 ( X1 = multiply(multiply(X2,divide(X1,X2)),divide(X3,X3)) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.4.2.0','0.14.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1.2.2','L')]).
% 0.56/0.96 cnf('0.15.0.1',plain,
% 0.56/0.96 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.56/0.96 [pos('R','L')]).
% 0.56/0.96 cnf('0.15.1.0',plain,
% 0.56/0.96 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.56/0.96 [weight('<41,14,4,[0,0,0,5]>')]).
% 0.56/0.96 cnf('0.15.2.0',plain,
% 0.56/0.96 ( multiply(X1,divide(X2,X1)) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_15]).
% 0.56/0.96 cnf('0.17.0.0',plain,
% 0.56/0.96 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.2','L')]).
% 0.56/0.96 cnf('0.17.1.0',plain,
% 0.56/0.96 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.56/0.96 [weight('<55,15,2,[1,0,0,2]>')]).
% 0.56/0.96 cnf('0.17.2.0',plain,
% 0.56/0.96 ( multiply(inverse(X1),multiply(X2,X1)) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_17]).
% 0.56/0.96 cnf('0.19.0.0',plain,
% 0.56/0.96 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.17.2.0','0.14.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.2','L')]).
% 0.56/0.96 cnf('0.19.1.0',plain,
% 0.56/0.96 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.56/0.96 [weight('<55,17,14,[1,0,0,3]>')]).
% 0.56/0.96 cnf('0.19.2.0',plain,
% 0.56/0.96 ( multiply(inverse(divide(X1,X1)),X2) = X2 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_19]).
% 0.56/0.96 cnf('0.20.0.0',plain,
% 0.56/0.96 ( X1 = multiply(divide(X1,multiply(inverse(divide(X2,X2)),X3)),X3) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.4.2.0','0.19.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.20.0.1',plain,
% 0.56/0.96 ( X1 = multiply(divide(X1,X3),X3) ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.20.0.0','0.19.2.0',theory(equality)]),
% 0.56/0.96 [pos('R.1.2','L')]).
% 0.56/0.96 cnf('0.20.1.0',plain,
% 0.56/0.96 ( X1 = multiply(divide(X1,X3),X3) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.56/0.96 [weight('<41,19,4,[0,0,0,1]>')]).
% 0.56/0.96 cnf('0.20.2.0',plain,
% 0.56/0.96 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_20]).
% 0.56/0.96 cnf('0.21.0.0',plain,
% 0.56/0.96 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.17.2.0','0.20.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.2','L')]).
% 0.56/0.96 cnf('0.21.1.0',plain,
% 0.56/0.96 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.56/0.96 [weight('<39,20,17,[0,0,0,3]>')]).
% 0.56/0.96 cnf('0.21.2.0',plain,
% 0.56/0.96 ( multiply(inverse(X1),X2) = divide(X2,X1) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_21]).
% 0.56/0.96 cnf('0.22.0.0',plain,
% 0.56/0.96 ( multiply(inverse(X1),multiply(X2,X1)) = X2 ),
% 0.56/0.96 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.56/0.96 cnf('0.22.0.1',plain,
% 0.56/0.96 ( divide(multiply(X2,X1),X1) = X2 ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.22.0.0','0.21.2.0',theory(equality)]),
% 0.56/0.96 [pos('L','L')]).
% 0.56/0.96 cnf('0.22.1.0',plain,
% 0.56/0.96 ( divide(multiply(X2,X1),X1) = X2 ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.56/0.96 [weight('<41,17,21,[0,0,0,0]>')]).
% 0.56/0.96 cnf('0.22.2.0',plain,
% 0.56/0.96 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_22]).
% 0.56/0.96 cnf('0.35.0.0',plain,
% 0.56/0.96 ( multiply(X1,X2) = multiply(X2,divide(multiply(X1,X3),X3)) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.22.2.0','0.13.2.0',theory(equality)]),
% 0.56/0.96 [pos('L','L')]).
% 0.56/0.96 cnf('0.35.0.1',plain,
% 0.56/0.96 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.96 inference(reduction,[status(thm)],['0.35.0.0','0.22.2.0',theory(equality)]),
% 0.56/0.96 [pos('R.2','L')]).
% 0.56/0.96 cnf('0.35.1.0',plain,
% 0.56/0.96 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.56/0.96 [weight('<48,22,13,[1,0,0,0]>')]).
% 0.56/0.96 cnf('0.35.2.0',plain,
% 0.56/0.96 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.56/0.96 inference(activate,[status(thm)],['0.35.1.0']),
% 0.56/0.96 [equation_1]).
% 0.56/0.96 cnf('1.0.0.0',conjecture,
% 0.56/0.96 ( multiply(a,b) = multiply(b,a) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_3900_n028',conjecture_1)).
% 0.56/0.96 cnf('1.0.0.1',plain,
% 0.56/0.96 ( multiply(b,a) = multiply(b,a) ),
% 0.56/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.35.2.0',theory(equality)]),
% 0.56/0.96 [pos('L','L')]).
% 0.56/0.96 cnf('1.0.0.2',plain,
% 0.56/0.96 ( $true ),
% 0.56/0.96 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.56/0.96 [conjecture_1]).
% 0.56/0.96
% 0.56/0.96 Proved Goals:
% 0.56/0.96 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.56/0.96 1 goal was specified, which was proved.
% 0.56/0.96 % SZS output end CNFRefutation
% 0.56/0.96 #END OF PROOF
% 0.56/0.96
% 0.56/0.96 Problem WALDMEISTER_3900_n028
% 0.56/0.96 CPs.gen 576
% 0.56/0.96 CPs.reexp 0
% 0.56/0.96 Select 59
% 0.56/0.96 R 34
% 0.56/0.96 E 1
% 0.56/0.96 vsize 6.4M
% 0.56/0.96 rss 3.8M
% 0.56/0.96 process.time 0.004s
% 0.56/0.96 wallclock.time 0.004s
% 0.56/0.96 status S
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Waldmeister states: Goal proved.
% 0.56/0.96 % SZS status Unsatisfiable
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