TSTP Solution File: GRP447-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 12:26:18 EDT 2022
% Result : Unsatisfiable 0.60s 1.02s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n020.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 08:50:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.01 * |/ | \/ | *
% 0.60/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.01 * A. Jaeger and B. Loechner | | *
% 0.60/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Goals:
% 0.60/1.01 ------
% 0.60/1.01
% 0.60/1.01 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.60/1.01
% 0.60/1.01 Detected structure: Orkus
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.02 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.60/1.02 goal joined
% 0.60/1.02 % SZS status Unsatisfiable
% 0.60/1.02 #START OF PROOF
% 0.60/1.02 % SZS output start CNFRefutation
% 0.60/1.02 cnf('0.1.0.0',axiom,
% 0.60/1.02 ( X1 = divide(X2,divide(divide(divide(divide(X2,X2),X1),X3),divide(divide(divide(X2,X2),X2),X3))) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_2684_n020')).
% 0.60/1.02 cnf('0.1.1.0',plain,
% 0.60/1.02 ( X1 = divide(X2,divide(divide(divide(divide(X2,X2),X1),X3),divide(divide(divide(X2,X2),X2),X3))) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.02 cnf('0.1.2.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(divide(divide(X1,X1),X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_1]).
% 0.60/1.02 cnf('0.2.0.0',axiom,
% 0.60/1.02 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_2684_n020')).
% 0.60/1.02 cnf('0.2.1.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.2.2.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_2]).
% 0.60/1.02 cnf('0.3.0.0',axiom,
% 0.60/1.02 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_2684_n020')).
% 0.60/1.02 cnf('0.3.1.0',plain,
% 0.60/1.02 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.02 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.02 cnf('0.3.2.0',plain,
% 0.60/1.02 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_3]).
% 0.60/1.02 cnf('0.4.0.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.60/1.02 cnf('0.4.0.1',plain,
% 0.60/1.02 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.4.1.0',plain,
% 0.60/1.02 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.60/1.02 [weight('<39,2,3,[0,0,0,0]>')]).
% 0.60/1.02 cnf('0.4.2.0',plain,
% 0.60/1.02 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_4]).
% 0.60/1.02 cnf('0.5.0.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L','L')]).
% 0.60/1.02 cnf('0.5.1.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/1.02 [weight('<53,4,3,[1,0,0,0]>')]).
% 0.60/1.02 cnf('0.5.2.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_5]).
% 0.60/1.02 cnf('0.6.0.0',plain,
% 0.60/1.02 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.1','L')]).
% 0.60/1.02 cnf('0.6.1.0',plain,
% 0.60/1.02 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.02 [weight('<62,3,3,[0,0,0,1]>')]).
% 0.60/1.02 cnf('0.6.2.0',plain,
% 0.60/1.02 ( divide(inverse(divide(X1,X1)),X2) = inverse(X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_6]).
% 0.60/1.02 cnf('0.8.0.0',plain,
% 0.60/1.02 ( inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.1','L')]).
% 0.60/1.02 cnf('0.8.1.0',plain,
% 0.60/1.02 ( inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.02 [weight('<69,5,3,[1,0,0,1]>')]).
% 0.60/1.02 cnf('0.8.2.0',plain,
% 0.60/1.02 ( multiply(inverse(divide(X1,X1)),X2) = inverse(inverse(X2)) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_8]).
% 0.60/1.02 cnf('0.26.0.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(divide(divide(X1,X1),X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2 ),
% 0.60/1.02 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.60/1.02 cnf('0.26.0.1',plain,
% 0.60/1.02 ( divide(X1,divide(divide(inverse(X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.26.0.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2.1.1','L')]).
% 0.60/1.02 cnf('0.26.0.2',plain,
% 0.60/1.02 ( divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.26.0.1','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2.2.1','L')]).
% 0.60/1.02 cnf('0.26.1.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2 ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.26.0.2']),
% 0.60/1.02 [weight('<155,1,3,[0,0,0,0]>')]).
% 0.60/1.02 cnf('0.26.2.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_26]).
% 0.60/1.02 cnf('0.27.0.0',plain,
% 0.60/1.02 ( X1 = divide(X2,inverse(divide(inverse(X2),inverse(X1)))) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.27.0.1',plain,
% 0.60/1.02 ( X1 = multiply(X2,divide(inverse(X2),inverse(X1))) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.27.0.0','0.4.2.0',theory(equality)]),
% 0.60/1.02 [pos('R','L')]).
% 0.60/1.02 cnf('0.27.0.2',plain,
% 0.60/1.02 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.27.0.1','0.4.2.0',theory(equality)]),
% 0.60/1.02 [pos('R.2','L')]).
% 0.60/1.02 cnf('0.27.1.0',plain,
% 0.60/1.02 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.60/1.02 [weight('<55,26,3,[1,0,0,2]>')]).
% 0.60/1.02 cnf('0.27.2.0',plain,
% 0.60/1.02 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_27]).
% 0.60/1.02 cnf('0.28.0.0',plain,
% 0.60/1.02 ( X1 = inverse(inverse(multiply(inverse(divide(X2,X2)),X1))) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.27.2.0','0.5.2.0',theory(equality)]),
% 0.60/1.02 [pos('L','L')]).
% 0.60/1.02 cnf('0.28.0.1',plain,
% 0.60/1.02 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.28.0.0','0.8.2.0',theory(equality)]),
% 0.60/1.02 [pos('R.1.1','L')]).
% 0.60/1.02 cnf('0.28.1.0',plain,
% 0.60/1.02 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.60/1.02 [weight('<41,27,5,[1,0,0,0]>')]).
% 0.60/1.02 cnf('0.28.2.0',plain,
% 0.60/1.02 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_28]).
% 0.60/1.02 cnf('0.29.0.0',plain,
% 0.60/1.02 ( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.27.2.0','0.27.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.29.1.0',plain,
% 0.60/1.02 ( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.60/1.02 [weight('<53,27,27,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.29.2.0',plain,
% 0.60/1.02 ( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_29]).
% 0.60/1.02 cnf('0.30.0.0',plain,
% 0.60/1.02 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.27.2.0','0.29.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.30.1.0',plain,
% 0.60/1.02 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.60/1.02 [weight('<55,29,27,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.30.2.0',plain,
% 0.60/1.02 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_30]).
% 0.60/1.02 cnf('0.32.0.0',plain,
% 0.60/1.02 ( multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.4.2.0','0.28.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.32.1.0',plain,
% 0.60/1.02 ( multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.60/1.02 [weight('<69,28,4,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.32.2.0',plain,
% 0.60/1.02 ( multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_32]).
% 0.60/1.02 cnf('0.33.0.0',plain,
% 0.60/1.02 ( divide(inverse(inverse(X1)),X2) = multiply(X1,inverse(inverse(inverse(X2)))) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.32.2.0','0.29.2.0',theory(equality)]),
% 0.60/1.02 [pos('L','L')]).
% 0.60/1.02 cnf('0.33.0.1',plain,
% 0.60/1.02 ( divide(inverse(inverse(X1)),X2) = divide(X1,X2) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.33.0.0','0.32.2.0',theory(equality)]),
% 0.60/1.02 [pos('R','L')]).
% 0.60/1.02 cnf('0.33.1.0',plain,
% 0.60/1.02 ( divide(inverse(inverse(X1)),X2) = divide(X1,X2) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.60/1.02 [weight('<53,32,29,[1,0,0,0]>')]).
% 0.60/1.02 cnf('0.33.2.0',plain,
% 0.60/1.02 ( divide(inverse(inverse(X1)),X2) = divide(X1,X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_33]).
% 0.60/1.02 cnf('0.35.0.0',plain,
% 0.60/1.02 ( X1 = inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X3,X3)),X2))) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L','L')]).
% 0.60/1.02 cnf('0.35.0.1',plain,
% 0.60/1.02 ( X1 = inverse(divide(divide(inverse(X1),X2),inverse(X2))) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.35.0.0','0.6.2.0',theory(equality)]),
% 0.60/1.02 [pos('R.1.2','L')]).
% 0.60/1.02 cnf('0.35.0.2',plain,
% 0.60/1.02 ( X1 = inverse(multiply(divide(inverse(X1),X2),X2)) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.35.0.1','0.4.2.0',theory(equality)]),
% 0.60/1.02 [pos('R.1','L')]).
% 0.60/1.02 cnf('0.35.1.0',plain,
% 0.60/1.02 ( X1 = inverse(multiply(divide(inverse(X1),X2),X2)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.60/1.02 [weight('<71,26,3,[1,0,0,0]>')]).
% 0.60/1.02 cnf('0.35.2.0',plain,
% 0.60/1.02 ( inverse(multiply(divide(inverse(X1),X2),X2)) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_35]).
% 0.60/1.02 cnf('0.36.0.0',plain,
% 0.60/1.02 ( inverse(X1) = inverse(multiply(divide(X1,X2),X2)) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.35.2.0','0.33.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.1.1','L')]).
% 0.60/1.02 cnf('0.36.1.0',plain,
% 0.60/1.02 ( inverse(X1) = inverse(multiply(divide(X1,X2),X2)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.60/1.02 [weight('<62,35,33,[1,0,0,2]>')]).
% 0.60/1.02 cnf('0.36.2.0',plain,
% 0.60/1.02 ( inverse(multiply(divide(X1,X2),X2)) = inverse(X1) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_36]).
% 0.60/1.02 cnf('0.37.0.0',plain,
% 0.60/1.02 ( inverse(multiply(divide(inverse(X1),X2),X2)) = X1 ),
% 0.60/1.02 inference(interreduction_right,[status(thm)],['0.35.2.0'])).
% 0.60/1.02 cnf('0.37.0.1',plain,
% 0.60/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 0.60/1.02 [pos('L','L')]).
% 0.60/1.02 cnf('0.37.1.0',plain,
% 0.60/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.60/1.02 [weight('<19,35,36,[0,0,0,0]>')]).
% 0.60/1.02 cnf('0.37.2.0',plain,
% 0.60/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_37]).
% 0.60/1.02 cnf('0.38.0.0',plain,
% 0.60/1.02 ( multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2) ),
% 0.60/1.02 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.60/1.02 cnf('0.38.0.1',plain,
% 0.60/1.02 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.38.0.0','0.37.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.38.1.0',plain,
% 0.60/1.02 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.60/1.02 [weight('<39,32,37,[0,0,0,0]>')]).
% 0.60/1.02 cnf('0.38.2.0',plain,
% 0.60/1.02 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_38]).
% 0.60/1.02 cnf('0.40.0.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X2),X2) = divide(X3,divide(divide(inverse(X1),X4),divide(inverse(X3),X4))) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.26.2.0','0.36.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2.1.1','L')]).
% 0.60/1.02 cnf('0.40.0.1',plain,
% 0.60/1.02 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.40.0.0','0.26.2.0',theory(equality)]),
% 0.60/1.02 [pos('R','L')]).
% 0.60/1.02 cnf('0.40.1.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.60/1.02 [weight('<41,36,26,[0,0,0,4]>')]).
% 0.60/1.02 cnf('0.40.2.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_40]).
% 0.60/1.02 cnf('0.41.0.0',plain,
% 0.60/1.02 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.1','L')]).
% 0.60/1.02 cnf('0.41.0.1',plain,
% 0.60/1.02 ( X1 = divide(multiply(X1,X2),X2) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.41.0.0','0.38.2.0',theory(equality)]),
% 0.60/1.02 [pos('R','L')]).
% 0.60/1.02 cnf('0.41.1.0',plain,
% 0.60/1.02 ( X1 = divide(multiply(X1,X2),X2) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.60/1.02 [weight('<41,40,4,[1,0,0,1]>')]).
% 0.60/1.02 cnf('0.41.2.0',plain,
% 0.60/1.02 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_41]).
% 0.60/1.02 cnf('0.42.0.0',plain,
% 0.60/1.02 ( inverse(X1) = divide(X2,multiply(X1,X2)) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.41.2.0','0.30.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.1','L')]).
% 0.60/1.02 cnf('0.42.1.0',plain,
% 0.60/1.02 ( inverse(X1) = divide(X2,multiply(X1,X2)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.60/1.02 [weight('<47,41,30,[1,0,0,1]>')]).
% 0.60/1.02 cnf('0.42.2.0',plain,
% 0.60/1.02 ( divide(X1,multiply(X2,X1)) = inverse(X2) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_42]).
% 0.60/1.02 cnf('0.43.0.0',plain,
% 0.60/1.02 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.42.2.0','0.40.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.43.1.0',plain,
% 0.60/1.02 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.60/1.02 [weight('<39,42,40,[1,0,0,2]>')]).
% 0.60/1.02 cnf('0.43.2.0',plain,
% 0.60/1.02 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_43]).
% 0.60/1.02 cnf('0.56.0.0',plain,
% 0.60/1.02 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.4.2.0','0.43.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.56.1.0',plain,
% 0.60/1.02 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.60/1.02 [weight('<65,43,4,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.56.2.0',plain,
% 0.60/1.02 ( divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_54]).
% 0.60/1.02 cnf('0.68.0.0',plain,
% 0.60/1.02 ( divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2 ),
% 0.60/1.02 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 0.60/1.02 cnf('0.68.0.1',plain,
% 0.60/1.02 ( multiply(X1,divide(divide(inverse(X1),X3),divide(inverse(X2),X3))) = X2 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.68.0.0','0.56.2.0',theory(equality)]),
% 0.60/1.02 [pos('L','L')]).
% 0.60/1.02 cnf('0.68.0.2',plain,
% 0.60/1.02 ( multiply(X1,multiply(divide(inverse(X1),X3),divide(X3,inverse(X2)))) = X2 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.68.0.1','0.56.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.68.0.3',plain,
% 0.60/1.02 ( multiply(X1,multiply(divide(inverse(X1),X3),multiply(X3,X2))) = X2 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.68.0.2','0.4.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2.2','L')]).
% 0.60/1.02 cnf('0.68.1.0',plain,
% 0.60/1.02 ( multiply(X1,multiply(divide(inverse(X1),X3),multiply(X3,X2))) = X2 ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.68.0.3']),
% 0.60/1.02 [weight('<131,26,56,[0,0,0,0]>')]).
% 0.60/1.02 cnf('0.68.2.0',plain,
% 0.60/1.02 ( multiply(X1,multiply(divide(inverse(X1),X2),multiply(X2,X3))) = X3 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_65]).
% 0.60/1.02 cnf('0.69.0.0',plain,
% 0.60/1.02 ( multiply(divide(inverse(inverse(X1)),X2),multiply(X2,X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.27.2.0','0.68.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.69.0.1',plain,
% 0.60/1.02 ( multiply(divide(X1,X2),multiply(X2,X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.69.0.0','0.37.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.1.1','L')]).
% 0.60/1.02 cnf('0.69.1.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X2),multiply(X2,X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.60/1.02 [weight('<87,68,27,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.69.2.0',plain,
% 0.60/1.02 ( multiply(divide(X1,X2),multiply(X2,X3)) = multiply(X1,X3) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_66]).
% 0.60/1.02 cnf('0.70.0.0',plain,
% 0.60/1.02 ( multiply(X1,multiply(X2,X3)) = multiply(divide(X1,inverse(X2)),X3) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.69.2.0','0.30.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.70.0.1',plain,
% 0.60/1.02 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.70.0.0','0.4.2.0',theory(equality)]),
% 0.60/1.02 [pos('R.1','L')]).
% 0.60/1.02 cnf('0.70.1.0',plain,
% 0.60/1.02 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.70.0.1']),
% 0.60/1.02 [weight('<65,69,30,[1,0,0,4]>')]).
% 0.60/1.02 cnf('0.70.2.0',plain,
% 0.60/1.02 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_67]).
% 0.60/1.02 cnf('1.0.0.0',conjecture,
% 0.60/1.02 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_2684_n020',conjecture_1)).
% 0.60/1.02 cnf('1.0.0.1',plain,
% 0.60/1.02 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.60/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.70.2.0',theory(equality)]),
% 0.60/1.02 [pos('L','L')]).
% 0.60/1.02 cnf('1.0.0.2',plain,
% 0.60/1.02 ( $true ),
% 0.60/1.02 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/1.02 [conjecture_1]).
% 0.60/1.02
% 0.60/1.02 Proved Goals:
% 0.60/1.02 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.60/1.02 1 goal was specified, which was proved.
% 0.60/1.02 % SZS output end CNFRefutation
% 0.60/1.02 #END OF PROOF
% 0.60/1.02
% 0.60/1.02 Problem WALDMEISTER_2684_n020
% 0.60/1.02 CPs.gen 1218
% 0.60/1.02 CPs.reexp 0
% 0.60/1.02 Select 333
% 0.60/1.02 R 67
% 0.60/1.02 E 3
% 0.60/1.02 vsize 6.5M
% 0.60/1.02 rss 3.8M
% 0.60/1.02 process.time 0.008s
% 0.60/1.02 wallclock.time 0.008s
% 0.60/1.02 status S
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 Waldmeister states: Goal proved.
% 0.60/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------