TSTP Solution File: GRP446-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 12:26:17 EDT 2022
% Result : Unsatisfiable 0.58s 0.97s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.05/0.14 % Command : woody %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 03:58:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.58/0.97
% 0.58/0.97 Detected structure: Orkus
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.58/0.97 goal joined
% 0.58/0.97 % SZS status Unsatisfiable
% 0.58/0.97 #START OF PROOF
% 0.58/0.97 % SZS output start CNFRefutation
% 0.58/0.97 cnf('0.1.0.0',axiom,
% 0.58/0.97 ( X1 = divide(X2,divide(divide(divide(divide(X2,X2),X1),X3),divide(divide(divide(X2,X2),X2),X3))) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_30294_n027')).
% 0.58/0.97 cnf('0.1.1.0',plain,
% 0.58/0.97 ( X1 = divide(X2,divide(divide(divide(divide(X2,X2),X1),X3),divide(divide(divide(X2,X2),X2),X3))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.97 cnf('0.1.2.0',plain,
% 0.58/0.97 ( divide(X1,divide(divide(divide(divide(X1,X1),X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_1]).
% 0.58/0.97 cnf('0.2.0.0',axiom,
% 0.58/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_30294_n027')).
% 0.58/0.97 cnf('0.2.1.0',plain,
% 0.58/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.97 cnf('0.2.2.0',plain,
% 0.58/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_2]).
% 0.58/0.97 cnf('0.3.0.0',axiom,
% 0.58/0.97 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_30294_n027')).
% 0.58/0.97 cnf('0.3.1.0',plain,
% 0.58/0.97 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.97 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.97 cnf('0.3.2.0',plain,
% 0.58/0.97 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_3]).
% 0.58/0.97 cnf('0.4.0.0',plain,
% 0.58/0.97 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.58/0.97 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.58/0.97 cnf('0.4.0.1',plain,
% 0.58/0.97 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.4.1.0',plain,
% 0.58/0.97 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.58/0.97 [weight('<39,2,3,[0,0,0,0]>')]).
% 0.58/0.97 cnf('0.4.2.0',plain,
% 0.58/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_4]).
% 0.58/0.97 cnf('0.5.0.0',plain,
% 0.58/0.97 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.5.1.0',plain,
% 0.58/0.97 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.97 [weight('<53,4,3,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.5.2.0',plain,
% 0.58/0.97 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_5]).
% 0.58/0.97 cnf('0.6.0.0',plain,
% 0.58/0.97 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1','L')]).
% 0.58/0.97 cnf('0.6.1.0',plain,
% 0.58/0.97 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/0.97 [weight('<62,3,3,[0,0,0,1]>')]).
% 0.58/0.97 cnf('0.6.2.0',plain,
% 0.58/0.97 ( divide(inverse(divide(X1,X1)),X2) = inverse(X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_6]).
% 0.58/0.97 cnf('0.8.0.0',plain,
% 0.58/0.97 ( inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1','L')]).
% 0.58/0.97 cnf('0.8.1.0',plain,
% 0.58/0.97 ( inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.97 [weight('<69,5,3,[1,0,0,1]>')]).
% 0.58/0.97 cnf('0.8.2.0',plain,
% 0.58/0.97 ( multiply(inverse(divide(X1,X1)),X2) = inverse(inverse(X2)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_8]).
% 0.58/0.97 cnf('0.9.0.0',plain,
% 0.58/0.97 ( inverse(inverse(X1)) = multiply(multiply(inverse(X2),X2),X1) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1','L')]).
% 0.58/0.97 cnf('0.9.1.0',plain,
% 0.58/0.97 ( inverse(inverse(X1)) = multiply(multiply(inverse(X2),X2),X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/0.97 [weight('<69,5,4,[1,0,0,1]>')]).
% 0.58/0.97 cnf('0.9.2.0',plain,
% 0.58/0.97 ( multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_9]).
% 0.58/0.97 cnf('0.26.0.0',plain,
% 0.58/0.97 ( divide(X1,divide(divide(divide(divide(X1,X1),X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2 ),
% 0.58/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.58/0.97 cnf('0.26.0.1',plain,
% 0.58/0.97 ( divide(X1,divide(divide(inverse(X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2 ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.26.0.0','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.1.1','L')]).
% 0.58/0.97 cnf('0.26.0.2',plain,
% 0.58/0.97 ( divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2 ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.26.0.1','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.2.1','L')]).
% 0.58/0.97 cnf('0.26.1.0',plain,
% 0.58/0.97 ( divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2 ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.26.0.2']),
% 0.58/0.97 [weight('<155,1,3,[0,0,0,0]>')]).
% 0.58/0.97 cnf('0.26.2.0',plain,
% 0.58/0.97 ( divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_26]).
% 0.58/0.97 cnf('0.27.0.0',plain,
% 0.58/0.97 ( X1 = divide(X2,inverse(divide(inverse(X2),inverse(X1)))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.27.0.1',plain,
% 0.58/0.97 ( X1 = multiply(X2,divide(inverse(X2),inverse(X1))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.27.0.0','0.4.2.0',theory(equality)]),
% 0.58/0.97 [pos('R','L')]).
% 0.58/0.97 cnf('0.27.0.2',plain,
% 0.58/0.97 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.27.0.1','0.4.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.2','L')]).
% 0.58/0.97 cnf('0.27.1.0',plain,
% 0.58/0.97 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.58/0.97 [weight('<55,26,3,[1,0,0,2]>')]).
% 0.58/0.97 cnf('0.27.2.0',plain,
% 0.58/0.97 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_27]).
% 0.58/0.97 cnf('0.28.0.0',plain,
% 0.58/0.97 ( X1 = inverse(inverse(multiply(inverse(divide(X2,X2)),X1))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.27.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.28.0.1',plain,
% 0.58/0.97 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.28.0.0','0.8.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.1','L')]).
% 0.58/0.97 cnf('0.28.1.0',plain,
% 0.58/0.97 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.58/0.97 [weight('<41,27,5,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.28.2.0',plain,
% 0.58/0.97 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_28]).
% 0.58/0.97 cnf('0.29.0.0',plain,
% 0.58/0.97 ( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.27.2.0','0.27.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.29.1.0',plain,
% 0.58/0.97 ( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.58/0.97 [weight('<53,27,27,[0,0,0,2]>')]).
% 0.58/0.97 cnf('0.29.2.0',plain,
% 0.58/0.97 ( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_29]).
% 0.58/0.97 cnf('0.32.0.0',plain,
% 0.58/0.97 ( multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.4.2.0','0.28.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.32.1.0',plain,
% 0.58/0.97 ( multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.58/0.97 [weight('<69,28,4,[0,0,0,2]>')]).
% 0.58/0.97 cnf('0.32.2.0',plain,
% 0.58/0.97 ( multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_32]).
% 0.58/0.97 cnf('0.33.0.0',plain,
% 0.58/0.97 ( divide(inverse(inverse(X1)),X2) = multiply(X1,inverse(inverse(inverse(X2)))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.32.2.0','0.29.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.33.0.1',plain,
% 0.58/0.97 ( divide(inverse(inverse(X1)),X2) = divide(X1,X2) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.33.0.0','0.32.2.0',theory(equality)]),
% 0.58/0.97 [pos('R','L')]).
% 0.58/0.97 cnf('0.33.1.0',plain,
% 0.58/0.97 ( divide(inverse(inverse(X1)),X2) = divide(X1,X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.58/0.97 [weight('<53,32,29,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.33.2.0',plain,
% 0.58/0.97 ( divide(inverse(inverse(X1)),X2) = divide(X1,X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_33]).
% 0.58/0.97 cnf('0.35.0.0',plain,
% 0.58/0.97 ( X1 = inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X3,X3)),X2))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.35.0.1',plain,
% 0.58/0.97 ( X1 = inverse(divide(divide(inverse(X1),X2),inverse(X2))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.35.0.0','0.6.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2','L')]).
% 0.58/0.97 cnf('0.35.0.2',plain,
% 0.58/0.97 ( X1 = inverse(multiply(divide(inverse(X1),X2),X2)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.35.0.1','0.4.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1','L')]).
% 0.58/0.97 cnf('0.35.1.0',plain,
% 0.58/0.97 ( X1 = inverse(multiply(divide(inverse(X1),X2),X2)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.58/0.97 [weight('<71,26,3,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.35.2.0',plain,
% 0.58/0.97 ( inverse(multiply(divide(inverse(X1),X2),X2)) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_35]).
% 0.58/0.97 cnf('0.36.0.0',plain,
% 0.58/0.97 ( inverse(X1) = inverse(multiply(divide(X1,X2),X2)) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.35.2.0','0.33.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1.1','L')]).
% 0.58/0.97 cnf('0.36.1.0',plain,
% 0.58/0.97 ( inverse(X1) = inverse(multiply(divide(X1,X2),X2)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.58/0.97 [weight('<62,35,33,[1,0,0,2]>')]).
% 0.58/0.97 cnf('0.36.2.0',plain,
% 0.58/0.97 ( inverse(multiply(divide(X1,X2),X2)) = inverse(X1) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_36]).
% 0.58/0.97 cnf('0.37.0.0',plain,
% 0.58/0.97 ( inverse(multiply(divide(inverse(X1),X2),X2)) = X1 ),
% 0.58/0.97 inference(interreduction_right,[status(thm)],['0.35.2.0'])).
% 0.58/0.97 cnf('0.37.0.1',plain,
% 0.58/0.97 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.37.1.0',plain,
% 0.58/0.97 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.58/0.97 [weight('<19,35,36,[0,0,0,0]>')]).
% 0.58/0.97 cnf('0.37.2.0',plain,
% 0.58/0.97 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_37]).
% 0.58/0.97 cnf('1.0.0.0',conjecture,
% 0.58/0.97 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.58/0.97 file('/tmp/WALDMEISTER_30294_n027',conjecture_1)).
% 0.58/0.97 cnf('1.0.0.1',plain,
% 0.58/0.97 ( inverse(inverse(a2)) = a2 ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.9.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('1.0.0.2',plain,
% 0.58/0.97 ( a2 = a2 ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.37.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('1.0.0.3',plain,
% 0.58/0.97 ( $true ),
% 0.58/0.97 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.58/0.97 [conjecture_1]).
% 0.58/0.97
% 0.58/0.97 Proved Goals:
% 0.58/0.97 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.58/0.97 1 goal was specified, which was proved.
% 0.58/0.97 % SZS output end CNFRefutation
% 0.58/0.97 #END OF PROOF
% 0.58/0.97
% 0.58/0.97 Problem WALDMEISTER_30294_n027
% 0.58/0.97 CPs.gen 452
% 0.58/0.97 CPs.reexp 0
% 0.58/0.97 Select 135
% 0.58/0.97 R 37
% 0.58/0.97 E 0
% 0.58/0.97 vsize 6.4M
% 0.58/0.97 rss 3.8M
% 0.58/0.97 process.time 0.004s
% 0.58/0.97 wallclock.time 0.004s
% 0.58/0.97 status S
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Waldmeister states: Goal proved.
% 0.58/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------