TSTP Solution File: GRP453-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP453-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n010.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 12:26:19 EDT 2022
% Result : Unsatisfiable 0.55s 0.96s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP453-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n010.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 05:13:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.96 * |/ | \/ | *
% 0.55/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.96 * A. Jaeger and B. Loechner | | *
% 0.55/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 0.55/0.96
% 0.55/0.96 Goals:
% 0.55/0.96 ------
% 0.55/0.96
% 0.55/0.96 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.55/0.96
% 0.55/0.96 Detected structure: Orkus
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 0.55/0.96 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.55/0.96 goal joined
% 0.55/0.96 % SZS status Unsatisfiable
% 0.55/0.96 #START OF PROOF
% 0.55/0.96 % SZS output start CNFRefutation
% 0.55/0.96 cnf('0.1.0.0',axiom,
% 0.55/0.96 ( X1 = divide(divide(divide(X2,X2),divide(X2,divide(X1,divide(divide(divide(X2,X2),X2),X3)))),X3) ),
% 0.55/0.96 file('/tmp/WALDMEISTER_19927_n010')).
% 0.55/0.96 cnf('0.1.1.0',plain,
% 0.55/0.96 ( X1 = divide(divide(divide(X2,X2),divide(X2,divide(X1,divide(divide(divide(X2,X2),X2),X3)))),X3) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.55/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.55/0.96 cnf('0.1.2.0',plain,
% 0.55/0.96 ( divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_1]).
% 0.55/0.96 cnf('0.2.0.0',axiom,
% 0.55/0.96 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.96 file('/tmp/WALDMEISTER_19927_n010')).
% 0.55/0.96 cnf('0.2.1.0',plain,
% 0.55/0.96 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.55/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.55/0.96 cnf('0.2.2.0',plain,
% 0.55/0.96 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_2]).
% 0.55/0.96 cnf('0.3.0.0',axiom,
% 0.55/0.96 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.55/0.96 file('/tmp/WALDMEISTER_19927_n010')).
% 0.55/0.96 cnf('0.3.1.0',plain,
% 0.55/0.96 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.55/0.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.55/0.96 cnf('0.3.2.0',plain,
% 0.55/0.96 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_3]).
% 0.55/0.96 cnf('0.4.0.0',plain,
% 0.55/0.96 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.55/0.96 cnf('0.4.0.1',plain,
% 0.55/0.96 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.2','L')]).
% 0.55/0.96 cnf('0.4.1.0',plain,
% 0.55/0.96 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.55/0.96 [weight('<39,2,3,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.4.2.0',plain,
% 0.55/0.96 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_4]).
% 0.55/0.96 cnf('0.5.0.0',plain,
% 0.55/0.96 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('0.5.1.0',plain,
% 0.55/0.96 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.55/0.96 [weight('<53,4,3,[1,0,0,0]>')]).
% 0.55/0.96 cnf('0.5.2.0',plain,
% 0.55/0.96 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_5]).
% 0.55/0.96 cnf('0.6.0.0',plain,
% 0.55/0.96 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.6.1.0',plain,
% 0.55/0.96 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.55/0.96 [weight('<62,3,3,[0,0,0,1]>')]).
% 0.55/0.96 cnf('0.6.2.0',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,X1)),X2) = inverse(X2) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_6]).
% 0.55/0.96 cnf('0.8.0.0',plain,
% 0.55/0.96 ( inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.8.1.0',plain,
% 0.55/0.96 ( inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.55/0.96 [weight('<69,5,3,[1,0,0,1]>')]).
% 0.55/0.96 cnf('0.8.2.0',plain,
% 0.55/0.96 ( multiply(inverse(divide(X1,X1)),X2) = inverse(inverse(X2)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_8]).
% 0.55/0.96 cnf('0.10.0.0',plain,
% 0.55/0.96 ( inverse(X1) = divide(inverse(inverse(divide(X2,X2))),X1) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.10.1.0',plain,
% 0.55/0.96 ( inverse(X1) = divide(inverse(inverse(divide(X2,X2))),X1) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.55/0.96 [weight('<79,6,3,[0,0,0,1]>')]).
% 0.55/0.96 cnf('0.10.2.0',plain,
% 0.55/0.96 ( divide(inverse(inverse(divide(X1,X1))),X2) = inverse(X2) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_10]).
% 0.55/0.96 cnf('0.16.0.0',plain,
% 0.55/0.96 ( inverse(inverse(X1)) = multiply(inverse(inverse(inverse(divide(X2,X2)))),X1) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1','L')]).
% 0.55/0.96 cnf('0.16.1.0',plain,
% 0.55/0.96 ( inverse(inverse(X1)) = multiply(inverse(inverse(inverse(divide(X2,X2)))),X1) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.55/0.96 [weight('<107,8,6,[1,0,0,2]>')]).
% 0.55/0.96 cnf('0.16.2.0',plain,
% 0.55/0.96 ( multiply(inverse(inverse(inverse(divide(X1,X1)))),X2) = inverse(inverse(X2)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_16]).
% 0.55/0.96 cnf('0.26.0.0',plain,
% 0.55/0.96 ( divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.55/0.96 cnf('0.26.0.1',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.26.0.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.26.0.2',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.26.0.1','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.2.2.1','L')]).
% 0.55/0.96 cnf('0.26.1.0',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.26.0.2']),
% 0.55/0.96 [weight('<155,1,3,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.26.2.0',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_26]).
% 0.55/0.96 cnf('0.27.0.0',plain,
% 0.55/0.96 ( X1 = divide(inverse(inverse(divide(X1,divide(inverse(divide(X2,X2)),X3)))),X3) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1','L')]).
% 0.55/0.96 cnf('0.27.0.1',plain,
% 0.55/0.96 ( X1 = divide(inverse(inverse(divide(X1,inverse(X3)))),X3) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.27.0.0','0.6.2.0',theory(equality)]),
% 0.55/0.96 [pos('R.1.1.1.2','L')]).
% 0.55/0.96 cnf('0.27.0.2',plain,
% 0.55/0.96 ( X1 = divide(inverse(inverse(multiply(X1,X3))),X3) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.27.0.1','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('R.1.1.1','L')]).
% 0.55/0.96 cnf('0.27.1.0',plain,
% 0.55/0.96 ( X1 = divide(inverse(inverse(multiply(X1,X3))),X3) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.55/0.96 [weight('<71,26,3,[1,0,0,2]>')]).
% 0.55/0.96 cnf('0.27.2.0',plain,
% 0.55/0.96 ( divide(inverse(inverse(multiply(X1,X2))),X2) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_27]).
% 0.55/0.96 cnf('0.28.0.0',plain,
% 0.55/0.96 ( X1 = multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.27.2.0','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('0.28.1.0',plain,
% 0.55/0.96 ( X1 = multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.55/0.96 [weight('<89,27,4,[1,0,0,0]>')]).
% 0.55/0.96 cnf('0.28.2.0',plain,
% 0.55/0.96 ( multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_28]).
% 0.55/0.96 cnf('0.29.0.0',plain,
% 0.55/0.96 ( inverse(inverse(multiply(X1,inverse(X2)))) = divide(inverse(inverse(X1)),X2) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.27.2.0','0.28.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.1','L')]).
% 0.55/0.96 cnf('0.29.1.0',plain,
% 0.55/0.96 ( inverse(inverse(multiply(X1,inverse(X2)))) = divide(inverse(inverse(X1)),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.55/0.96 [weight('<83,28,27,[0,0,0,3]>')]).
% 0.55/0.96 cnf('0.29.2.0',plain,
% 0.55/0.96 ( inverse(inverse(multiply(X1,inverse(X2)))) = divide(inverse(inverse(X1)),X2) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_29]).
% 0.55/0.96 cnf('0.31.0.0',plain,
% 0.55/0.96 ( multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1 ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.55/0.96 cnf('0.31.0.1',plain,
% 0.55/0.96 ( multiply(divide(inverse(inverse(X1)),X2),X2) = X1 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.31.0.0','0.29.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.31.1.0',plain,
% 0.55/0.96 ( multiply(divide(inverse(inverse(X1)),X2),X2) = X1 ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.55/0.96 [weight('<71,28,29,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.31.2.0',plain,
% 0.55/0.96 ( multiply(divide(inverse(inverse(X1)),X2),X2) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_31]).
% 0.55/0.96 cnf('0.32.0.0',plain,
% 0.55/0.96 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.31.2.0','0.5.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('0.32.1.0',plain,
% 0.55/0.96 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.55/0.96 [weight('<41,31,5,[1,0,0,0]>')]).
% 0.55/0.96 cnf('0.32.2.0',plain,
% 0.55/0.96 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_32]).
% 0.55/0.96 cnf('0.33.0.0',plain,
% 0.55/0.96 ( inverse(inverse(X1)) = multiply(divide(X1,X2),X2) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.31.2.0','0.32.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1','L')]).
% 0.55/0.96 cnf('0.33.1.0',plain,
% 0.55/0.96 ( inverse(inverse(X1)) = multiply(divide(X1,X2),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.55/0.96 [weight('<53,32,31,[0,0,0,2]>')]).
% 0.55/0.96 cnf('0.33.2.0',plain,
% 0.55/0.96 ( multiply(divide(X1,X2),X2) = inverse(inverse(X1)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_33]).
% 0.55/0.96 cnf('0.34.0.0',plain,
% 0.55/0.96 ( inverse(inverse(inverse(inverse(divide(X1,X1))))) = multiply(inverse(X2),X2) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.33.2.0','0.10.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.34.0.1',plain,
% 0.55/0.96 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.34.0.0','0.32.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('0.34.1.0',plain,
% 0.55/0.96 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.55/0.96 [weight('<63,33,10,[1,0,0,1]>')]).
% 0.55/0.96 cnf('0.34.2.0',plain,
% 0.55/0.96 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.55/0.96 inference(activate,[status(thm)],['0.34.1.0']),
% 0.55/0.96 [equation_1]).
% 0.55/0.96 cnf('0.34.2.1',plain,
% 0.55/0.96 ( divide(X1,X1) = multiply(inverse(c3),c3) ),
% 0.55/0.96 inference(instr,[status(thm)],['0.34.2.0',theory(equality)])).
% 0.55/0.96 cnf('0.34.2.2',plain,
% 0.55/0.96 ( divide(c3,c3) = multiply(inverse(X1),X1) ),
% 0.55/0.96 inference(instl,[status(thm)],['0.34.2.0',theory(equality)])).
% 0.55/0.96 cnf('0.35.0.0',plain,
% 0.55/0.96 ( divide(X1,X1) = inverse(inverse(inverse(inverse(divide(X2,X2))))) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.34.2.0','0.16.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.35.0.1',plain,
% 0.55/0.96 ( divide(X1,X1) = divide(X2,X2) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.35.0.0','0.32.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.35.1.0',plain,
% 0.55/0.96 ( divide(X1,X1) = divide(X2,X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.55/0.96 [weight('<48,34,16,[1,1,0,0]>')]).
% 0.55/0.96 cnf('0.35.2.0',plain,
% 0.55/0.96 ( divide(X1,X1) = divide(X2,X2) ),
% 0.55/0.96 inference(activate,[status(thm)],['0.35.1.0']),
% 0.55/0.96 [equation_2]).
% 0.55/0.96 cnf('0.35.2.1',plain,
% 0.55/0.96 ( divide(X1,X1) = divide(c3,c3) ),
% 0.55/0.96 inference(instr,[status(thm)],['0.35.2.0',theory(equality)])).
% 0.55/0.96 cnf('0.35.2.2',plain,
% 0.55/0.96 ( divide(c3,c3) = divide(X1,X1) ),
% 0.55/0.96 inference(instl,[status(thm)],['0.35.2.0',theory(equality)])).
% 0.55/0.96 cnf('0.43.0.0',plain,
% 0.55/0.96 ( divide(inverse(X1),X2) = divide(inverse(divide(X1,divide(X3,X3))),X2) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.26.2.0','0.35.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.2','L')]).
% 0.55/0.96 cnf('0.43.1.0',plain,
% 0.55/0.96 ( divide(inverse(X1),X2) = divide(inverse(divide(X1,divide(X3,X3))),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.55/0.96 [weight('<116,35,26,[0,0,0,4]>')]).
% 0.55/0.96 cnf('0.43.2.0',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,X2))),X3) = divide(inverse(X1),X3) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_40]).
% 0.55/0.96 cnf('0.44.0.0',plain,
% 0.55/0.96 ( inverse(divide(X1,divide(X2,X2))) = divide(inverse(divide(X3,divide(inverse(X1),divide(inverse(X3),X4)))),X4) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.26.2.0','0.43.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.2','L')]).
% 0.55/0.96 cnf('0.44.0.1',plain,
% 0.55/0.96 ( inverse(divide(X1,divide(X2,X2))) = inverse(X1) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.44.0.0','0.26.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.44.1.0',plain,
% 0.55/0.96 ( inverse(divide(X1,divide(X2,X2))) = inverse(X1) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.55/0.96 [weight('<62,43,26,[0,0,0,4]>')]).
% 0.55/0.96 cnf('0.44.2.0',plain,
% 0.55/0.96 ( inverse(divide(X1,divide(X2,X2))) = inverse(X1) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_41]).
% 0.55/0.96 cnf('0.45.0.0',plain,
% 0.55/0.96 ( divide(X1,divide(X2,X2)) = inverse(inverse(inverse(inverse(X1)))) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.32.2.0','0.44.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.1','L')]).
% 0.55/0.96 cnf('0.45.0.1',plain,
% 0.55/0.96 ( divide(X1,divide(X2,X2)) = X1 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.45.0.0','0.32.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.45.1.0',plain,
% 0.55/0.96 ( divide(X1,divide(X2,X2)) = X1 ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.55/0.96 [weight('<41,44,32,[0,0,0,3]>')]).
% 0.55/0.96 cnf('0.45.2.0',plain,
% 0.55/0.96 ( divide(X1,divide(X2,X2)) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_42]).
% 0.55/0.96 cnf('0.46.0.0',plain,
% 0.55/0.96 ( X1 = divide(X1,inverse(divide(X2,X2))) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.45.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.2','L')]).
% 0.55/0.96 cnf('0.46.0.1',plain,
% 0.55/0.96 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.46.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.46.1.0',plain,
% 0.55/0.96 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.55/0.96 [weight('<41,45,3,[1,0,0,2]>')]).
% 0.55/0.96 cnf('0.46.2.0',plain,
% 0.55/0.96 ( multiply(X1,divide(X2,X2)) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_43]).
% 0.55/0.96 cnf('0.47.0.0',plain,
% 0.55/0.96 ( X1 = divide(inverse(inverse(X1)),divide(X2,X2)) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.27.2.0','0.46.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.1','L')]).
% 0.55/0.96 cnf('0.47.0.1',plain,
% 0.55/0.96 ( X1 = inverse(inverse(X1)) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.47.0.0','0.45.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.47.1.0',plain,
% 0.55/0.96 ( X1 = inverse(inverse(X1)) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.55/0.96 [weight('<19,46,27,[0,0,0,3]>')]).
% 0.55/0.96 cnf('0.47.2.0',plain,
% 0.55/0.96 ( inverse(inverse(X1)) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_44]).
% 0.55/0.96 cnf('0.48.0.0',plain,
% 0.55/0.96 ( inverse(inverse(multiply(X1,inverse(X2)))) = divide(inverse(inverse(X1)),X2) ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 0.55/0.96 cnf('0.48.0.1',plain,
% 0.55/0.96 ( multiply(X1,inverse(X2)) = divide(inverse(inverse(X1)),X2) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.48.0.0','0.47.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('0.48.0.2',plain,
% 0.55/0.96 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.48.0.1','0.47.2.0',theory(equality)]),
% 0.55/0.96 [pos('R.1','L')]).
% 0.55/0.96 cnf('0.48.1.0',plain,
% 0.55/0.96 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.48.0.2']),
% 0.55/0.96 [weight('<39,29,47,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.48.2.0',plain,
% 0.55/0.96 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_45]).
% 0.55/0.96 cnf('0.50.0.0',plain,
% 0.55/0.96 ( divide(inverse(inverse(multiply(X1,X2))),X2) = X1 ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 0.55/0.96 cnf('0.50.0.1',plain,
% 0.55/0.96 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.50.0.0','0.47.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.50.1.0',plain,
% 0.55/0.96 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.55/0.96 [weight('<41,27,47,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.50.2.0',plain,
% 0.55/0.96 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_47]).
% 0.55/0.96 cnf('0.51.0.0',plain,
% 0.55/0.96 ( multiply(divide(X1,X2),X2) = inverse(inverse(X1)) ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.33.2.0'])).
% 0.55/0.96 cnf('0.51.0.1',plain,
% 0.55/0.96 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.51.0.0','0.47.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.51.1.0',plain,
% 0.55/0.96 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.51.0.1']),
% 0.55/0.96 [weight('<41,33,47,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.51.2.0',plain,
% 0.55/0.96 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_48]).
% 0.55/0.96 cnf('0.52.0.0',plain,
% 0.55/0.96 ( X1 = divide(inverse(divide(X2,X1)),inverse(X2)) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.26.2.0','0.45.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.2','L')]).
% 0.55/0.96 cnf('0.52.0.1',plain,
% 0.55/0.96 ( X1 = multiply(inverse(divide(X2,X1)),X2) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.52.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('R','L')]).
% 0.55/0.96 cnf('0.52.1.0',plain,
% 0.55/0.96 ( X1 = multiply(inverse(divide(X2,X1)),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.55/0.96 [weight('<55,45,26,[0,0,0,4]>')]).
% 0.55/0.96 cnf('0.52.2.0',plain,
% 0.55/0.96 ( multiply(inverse(divide(X1,X2)),X1) = X2 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_49]).
% 0.55/0.96 cnf('0.53.0.0',plain,
% 0.55/0.96 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.50.2.0','0.52.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.53.1.0',plain,
% 0.55/0.96 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.55/0.96 [weight('<39,52,50,[0,0,0,1]>')]).
% 0.55/0.96 cnf('0.53.2.0',plain,
% 0.55/0.96 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_50]).
% 0.55/0.96 cnf('0.54.0.0',plain,
% 0.55/0.96 ( divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.55/0.96 cnf('0.54.0.1',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.54.0.0','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.54.0.2',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.54.0.1','0.3.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.2.2.1','L')]).
% 0.55/0.96 cnf('0.54.1.0',plain,
% 0.55/0.96 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.54.0.2']),
% 0.55/0.96 [weight('<?,1,3,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.54.1.1',plain,
% 0.55/0.96 ( divide(divide(divide(X2,divide(inverse(X1),X3)),X1),X3) = X2 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.54.1.0','0.53.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.54.2.0',plain,
% 0.55/0.96 ( divide(divide(divide(X1,divide(inverse(X2),X3)),X2),X3) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 0.55/0.96 [u,rule_51]).
% 0.55/0.96 cnf('0.62.0.0',plain,
% 0.55/0.96 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.4.2.0','0.53.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.2','L')]).
% 0.55/0.96 cnf('0.62.1.0',plain,
% 0.55/0.96 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.55/0.96 [weight('<65,53,4,[0,0,0,2]>')]).
% 0.55/0.96 cnf('0.62.2.0',plain,
% 0.55/0.96 ( divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_59]).
% 0.55/0.96 cnf('0.65.0.0',plain,
% 0.55/0.96 ( divide(divide(divide(X1,divide(inverse(X2),X3)),X2),X3) = X1 ),
% 0.55/0.96 inference(interreduction_right,[status(thm)],['0.54.2.0'])).
% 0.55/0.96 cnf('0.65.0.1',plain,
% 0.55/0.96 ( divide(divide(multiply(X1,divide(X3,inverse(X2))),X2),X3) = X1 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.65.0.0','0.62.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1','L')]).
% 0.55/0.96 cnf('0.65.0.2',plain,
% 0.55/0.96 ( divide(divide(multiply(X1,multiply(X3,X2)),X2),X3) = X1 ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.65.0.1','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1.2','L')]).
% 0.55/0.96 cnf('0.65.1.0',plain,
% 0.55/0.96 ( divide(divide(multiply(X1,multiply(X3,X2)),X2),X3) = X1 ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.65.0.2']),
% 0.55/0.96 [weight('<109,54,62,[0,0,0,0]>')]).
% 0.55/0.96 cnf('0.65.2.0',plain,
% 0.55/0.96 ( divide(divide(multiply(X1,multiply(X2,X3)),X3),X2) = X1 ),
% 0.55/0.96 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.55/0.96 [u,rule_62]).
% 0.55/0.96 cnf('0.66.0.0',plain,
% 0.55/0.96 ( divide(X1,multiply(X2,X3)) = divide(divide(X1,X3),X2) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.65.2.0','0.51.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1.1','L')]).
% 0.55/0.96 cnf('0.66.1.0',plain,
% 0.55/0.96 ( divide(X1,multiply(X2,X3)) = divide(divide(X1,X3),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.66.0.0']),
% 0.55/0.96 [weight('<65,65,51,[1,0,0,2]>')]).
% 0.55/0.96 cnf('0.66.2.0',plain,
% 0.55/0.96 ( divide(divide(X1,X2),X3) = divide(X1,multiply(X3,X2)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_63]).
% 0.55/0.96 cnf('0.67.0.0',plain,
% 0.55/0.96 ( divide(X1,multiply(X2,inverse(X3))) = divide(multiply(X1,X3),X2) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.66.2.0','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.1','L')]).
% 0.55/0.96 cnf('0.67.0.1',plain,
% 0.55/0.96 ( divide(X1,divide(X2,X3)) = divide(multiply(X1,X3),X2) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.67.0.0','0.48.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.2','L')]).
% 0.55/0.96 cnf('0.67.0.2',plain,
% 0.55/0.96 ( multiply(X1,divide(X3,X2)) = divide(multiply(X1,X3),X2) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.67.0.1','0.62.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('0.67.1.0',plain,
% 0.55/0.96 ( multiply(X1,divide(X3,X2)) = divide(multiply(X1,X3),X2) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.67.0.2']),
% 0.55/0.96 [weight('<65,66,4,[1,0,0,1]>')]).
% 0.55/0.96 cnf('0.67.2.0',plain,
% 0.55/0.96 ( divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_64]).
% 0.55/0.96 cnf('0.68.0.0',plain,
% 0.55/0.96 ( multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3) ),
% 0.55/0.96 inference(cp,[status(thm)],['0.67.2.0','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('0.68.0.1',plain,
% 0.55/0.96 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.55/0.96 inference(reduction,[status(thm)],['0.68.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.96 [pos('L.2','L')]).
% 0.55/0.96 cnf('0.68.1.0',plain,
% 0.55/0.96 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.55/0.96 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.55/0.96 [weight('<65,67,4,[1,0,0,0]>')]).
% 0.55/0.96 cnf('0.68.2.0',plain,
% 0.55/0.96 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.55/0.96 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.55/0.96 [x,rule_65]).
% 0.55/0.96 cnf('1.0.0.0',conjecture,
% 0.55/0.96 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.55/0.96 file('/tmp/WALDMEISTER_19927_n010',conjecture_1)).
% 0.55/0.96 cnf('1.0.0.1',plain,
% 0.55/0.96 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.55/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.68.2.0',theory(equality)]),
% 0.55/0.96 [pos('L','L')]).
% 0.55/0.96 cnf('1.0.0.2',plain,
% 0.55/0.96 ( $true ),
% 0.55/0.96 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.55/0.96 [conjecture_1]).
% 0.55/0.96
% 0.55/0.96 Proved Goals:
% 0.55/0.96 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.55/0.96 1 goal was specified, which was proved.
% 0.55/0.96 % SZS output end CNFRefutation
% 0.55/0.96 #END OF PROOF
% 0.55/0.96
% 0.55/0.96 Problem WALDMEISTER_19927_n010
% 0.55/0.96 CPs.gen 970
% 0.55/0.96 CPs.reexp 0
% 0.55/0.96 Select 291
% 0.55/0.96 R 65
% 0.55/0.96 E 3
% 0.55/0.96 vsize 6.5M
% 0.55/0.96 rss 3.8M
% 0.55/0.96 process.time 0.007s
% 0.55/0.96 wallclock.time 0.007s
% 0.55/0.96 status S
% 0.55/0.96
% 0.55/0.96
% 0.55/0.96 Waldmeister states: Goal proved.
% 0.55/0.96 % SZS status Unsatisfiable
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