%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 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 : Thu Jul 14 23:52:53 EDT 2022
% Result : Unsatisfiable 0.59s 1.02s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 2 00:14:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.00 * |/ | \/ | *
% 0.59/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.00 * A. Jaeger and B. Loechner | | *
% 0.59/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Goals:
% 0.59/1.00 ------
% 0.59/1.00
% 0.59/1.00 ( 1) add(b,inverse(b)) ?=? add(a,inverse(a))
% 0.59/1.00
% 0.59/1.00 Detected structure: Verband
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.02 joined goal: 1 add(b,inverse(b)) ?= add(a,inverse(a)) to add(b,inverse(b))
% 0.59/1.02 goal joined
% 0.59/1.02 % SZS status Unsatisfiable
% 0.59/1.02 #START OF PROOF
% 0.59/1.02 % SZS output start CNFRefutation
% 0.59/1.02 cnf('0.1.0.0',axiom,
% 0.59/1.02 ( X1 = multiply(X1,add(X2,add(X1,X3))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.1.1.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,add(X2,add(X1,X3))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/1.02 cnf('0.1.2.0',plain,
% 0.59/1.02 ( multiply(X1,add(X2,add(X1,X3))) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_1]).
% 0.59/1.02 cnf('0.3.0.0',axiom,
% 0.59/1.02 ( X1 = multiply(add(X1,X2),add(X1,inverse(X2))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.3.1.0',plain,
% 0.59/1.02 ( X1 = multiply(add(X1,X2),add(X1,inverse(X2))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/1.02 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/1.02 cnf('0.3.2.0',plain,
% 0.59/1.02 ( multiply(add(X1,X2),add(X1,inverse(X2))) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_3]).
% 0.59/1.02 cnf('0.4.0.0',axiom,
% 0.59/1.02 ( X1 = add(X1,multiply(X2,multiply(X1,X3))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.4.1.0',plain,
% 0.59/1.02 ( X1 = add(X1,multiply(X2,multiply(X1,X3))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/1.02 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/1.02 cnf('0.4.2.0',plain,
% 0.59/1.02 ( add(X1,multiply(X2,multiply(X1,X3))) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_4]).
% 0.59/1.02 cnf('0.5.0.0',axiom,
% 0.59/1.02 ( X1 = add(multiply(X1,X2),multiply(X1,inverse(X2))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.5.1.0',plain,
% 0.59/1.02 ( X1 = add(multiply(X1,X2),multiply(X1,inverse(X2))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/1.02 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.59/1.02 cnf('0.5.2.0',plain,
% 0.59/1.02 ( add(multiply(X1,X2),multiply(X1,inverse(X2))) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_5]).
% 0.59/1.02 cnf('0.7.0.0',axiom,
% 0.59/1.02 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.7.1.0',plain,
% 0.59/1.02 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/1.02 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.59/1.02 cnf('0.7.2.0',plain,
% 0.59/1.02 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.59/1.02 inference(activate,[status(thm)],['0.7.1.0']),
% 0.59/1.02 [equation_1]).
% 0.59/1.02 cnf('0.8.0.0',axiom,
% 0.59/1.02 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.8.1.0',plain,
% 0.59/1.02 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.59/1.02 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.59/1.02 cnf('0.8.2.0',plain,
% 0.59/1.02 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_7]).
% 0.59/1.02 cnf('0.9.0.0',axiom,
% 0.59/1.02 ( add(X1,X2) = add(X2,X1) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.9.1.0',plain,
% 0.59/1.02 ( add(X1,X2) = add(X2,X1) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.59/1.02 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.59/1.02 cnf('0.9.2.0',plain,
% 0.59/1.02 ( add(X1,X2) = add(X2,X1) ),
% 0.59/1.02 inference(activate,[status(thm)],['0.9.1.0']),
% 0.59/1.02 [equation_2]).
% 0.59/1.02 cnf('0.10.0.0',axiom,
% 0.59/1.02 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020')).
% 0.59/1.02 cnf('0.10.1.0',plain,
% 0.59/1.02 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.59/1.02 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.59/1.02 cnf('0.10.2.0',plain,
% 0.59/1.02 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_8]).
% 0.59/1.02 cnf('0.11.0.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,add(X2,X1)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2.2','L')]).
% 0.59/1.02 cnf('0.11.1.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,add(X2,X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.59/1.02 [weight('<5,4,1,[0,0,0,4]>')]).
% 0.59/1.02 cnf('0.11.2.0',plain,
% 0.59/1.02 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_9]).
% 0.59/1.02 cnf('0.12.0.0',plain,
% 0.59/1.02 ( X1 = add(X1,multiply(X2,X1)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2.2','L')]).
% 0.59/1.02 cnf('0.12.1.0',plain,
% 0.59/1.02 ( X1 = add(X1,multiply(X2,X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.59/1.02 [weight('<5,4,1,[1,0,0,4]>')]).
% 0.59/1.02 cnf('0.12.2.0',plain,
% 0.59/1.02 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_10]).
% 0.59/1.02 cnf('0.13.0.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,add(X1,X2)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.11.2.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.13.1.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,add(X1,X2)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.59/1.02 [weight('<5,11,9,[1,0,0,2]>')]).
% 0.59/1.02 cnf('0.13.2.0',plain,
% 0.59/1.02 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_11]).
% 0.59/1.02 cnf('0.14.0.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,X1) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.14.1.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,X1) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.59/1.02 [weight('<3,13,4,[1,0,0,2]>')]).
% 0.59/1.02 cnf('0.14.2.0',plain,
% 0.59/1.02 ( multiply(X1,X1) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_12]).
% 0.59/1.02 cnf('0.19.0.0',plain,
% 0.59/1.02 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.8.2.0','0.14.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.19.1.0',plain,
% 0.59/1.02 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.59/1.02 [weight('<5,14,8,[0,0,0,1]>')]).
% 0.59/1.02 cnf('0.19.2.0',plain,
% 0.59/1.02 ( multiply(X1,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.59/1.02 [u,rule_17]).
% 0.59/1.02 cnf('0.21.0.0',plain,
% 0.59/1.02 ( add(X1,X2) = add(add(X1,X2),multiply(X3,X1)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2.2','L')]).
% 0.59/1.02 cnf('0.21.1.0',plain,
% 0.59/1.02 ( add(X1,X2) = add(add(X1,X2),multiply(X3,X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.59/1.02 [weight('<7,4,3,[1,0,0,4]>')]).
% 0.59/1.02 cnf('0.21.1.1',plain,
% 0.59/1.02 ( add(X1,X2) = add(X1,add(X2,multiply(X3,X1))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.21.1.0','0.10.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.21.2.0',plain,
% 0.59/1.02 ( add(X1,add(X2,multiply(X3,X1))) = add(X1,X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.21.1.1',theory(equality)]),
% 0.59/1.02 [x,rule_19]).
% 0.59/1.02 cnf('0.22.0.0',plain,
% 0.59/1.02 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.21.2.0','0.5.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.22.1.0',plain,
% 0.59/1.02 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.59/1.02 [weight('<6,21,5,[1,0,0,2]>')]).
% 0.59/1.02 cnf('0.22.2.0',plain,
% 0.59/1.02 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.59/1.02 [u,rule_20]).
% 0.59/1.02 cnf('0.23.0.0',plain,
% 0.59/1.02 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X1,X2)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.22.2.0','0.7.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.23.1.0',plain,
% 0.59/1.02 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X1,X2)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.59/1.02 [weight('<6,22,7,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.23.2.0',plain,
% 0.59/1.02 ( add(inverse(X1),multiply(X1,X2)) = add(inverse(X1),X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_21]).
% 0.59/1.02 cnf('0.25.0.0',plain,
% 0.59/1.02 ( add(inverse(X1),add(X2,X1)) = add(inverse(X1),X1) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.23.2.0','0.11.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.25.1.0',plain,
% 0.59/1.02 ( add(inverse(X1),add(X2,X1)) = add(inverse(X1),X1) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.59/1.02 [weight('<6,23,11,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.25.1.1',plain,
% 0.59/1.02 ( add(inverse(X1),add(X2,X1)) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.25.1.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.25.2.0',plain,
% 0.59/1.02 ( add(inverse(X1),add(X2,X1)) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.25.1.1',theory(equality)]),
% 0.59/1.02 [u,rule_23]).
% 0.59/1.02 cnf('0.28.0.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,add(X2,inverse(X2))) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.1.2.0','0.25.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.28.1.0',plain,
% 0.59/1.02 ( X1 = multiply(X1,add(X2,inverse(X2))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.59/1.02 [weight('<6,25,1,[0,0,0,2]>')]).
% 0.59/1.02 cnf('0.28.2.0',plain,
% 0.59/1.02 ( multiply(X1,add(X2,inverse(X2))) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_26]).
% 0.59/1.02 cnf('0.30.0.0',plain,
% 0.59/1.02 ( X1 = multiply(add(X2,inverse(X2)),X1) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.28.2.0','0.7.2.0',theory(equality)]),
% 0.59/1.02 [pos('L','L')]).
% 0.59/1.02 cnf('0.30.1.0',plain,
% 0.59/1.02 ( X1 = multiply(add(X2,inverse(X2)),X1) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.59/1.02 [weight('<6,28,7,[1,0,0,0]>')]).
% 0.59/1.02 cnf('0.30.2.0',plain,
% 0.59/1.02 ( multiply(add(X1,inverse(X1)),X2) = X2 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_28]).
% 0.59/1.02 cnf('0.31.0.0',plain,
% 0.59/1.02 ( add(X1,inverse(inverse(X1))) = X1 ),
% 0.59/1.02 inference(cp,[status(thm)],['0.30.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.02 [pos('L','L')]).
% 0.59/1.02 cnf('0.31.1.0',plain,
% 0.59/1.02 ( add(X1,inverse(inverse(X1))) = X1 ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.59/1.02 [weight('<5,30,3,[1,0,0,0]>')]).
% 0.59/1.02 cnf('0.31.2.0',plain,
% 0.59/1.02 ( add(X1,inverse(inverse(X1))) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.59/1.02 [u,rule_29]).
% 0.59/1.02 cnf('0.35.0.0',plain,
% 0.59/1.02 ( multiply(X1,X2) = multiply(multiply(X1,X2),add(X3,X1)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2.2','L')]).
% 0.59/1.02 cnf('0.35.1.0',plain,
% 0.59/1.02 ( multiply(X1,X2) = multiply(multiply(X1,X2),add(X3,X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.59/1.02 [weight('<7,5,1,[0,0,0,4]>')]).
% 0.59/1.02 cnf('0.35.1.1',plain,
% 0.59/1.02 ( multiply(X1,X2) = multiply(X1,multiply(X2,add(X3,X1))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.35.1.0','0.8.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.35.2.0',plain,
% 0.59/1.02 ( multiply(X1,multiply(X2,add(X3,X1))) = multiply(X1,X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 0.59/1.02 [x,rule_33]).
% 0.59/1.02 cnf('0.36.0.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.35.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.36.1.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.59/1.02 [weight('<6,35,3,[1,0,0,2]>')]).
% 0.59/1.02 cnf('0.36.2.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.59/1.02 [u,rule_34]).
% 0.59/1.02 cnf('0.37.0.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),X2) = multiply(inverse(X1),add(X1,X2)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.36.2.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.37.1.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),X2) = multiply(inverse(X1),add(X1,X2)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.59/1.02 [weight('<6,36,9,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.37.2.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),add(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_35]).
% 0.59/1.02 cnf('0.42.0.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),inverse(inverse(X1))) = multiply(inverse(X1),X1) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.37.2.0','0.31.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.42.1.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),inverse(inverse(X1))) = multiply(inverse(X1),X1) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.59/1.02 [weight('<6,37,31,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.42.1.1',plain,
% 0.59/1.02 ( multiply(inverse(X1),inverse(inverse(X1))) = multiply(X1,inverse(X1)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.42.1.0','0.7.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.42.2.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),inverse(inverse(X1))) = multiply(X1,inverse(X1)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.42.1.1',theory(equality)]),
% 0.59/1.02 [u,rule_40]).
% 0.59/1.02 cnf('0.43.0.0',plain,
% 0.59/1.02 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),multiply(X1,inverse(X1))) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.12.2.0','0.42.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.43.0.1',plain,
% 0.59/1.02 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.43.0.0','0.22.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.43.1.0',plain,
% 0.59/1.02 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.59/1.02 [weight('<5,42,12,[0,0,0,2]>')]).
% 0.59/1.02 cnf('0.43.1.1',plain,
% 0.59/1.02 ( inverse(inverse(X1)) = add(X1,inverse(inverse(X1))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.43.1.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.43.1.2',plain,
% 0.59/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.43.1.1','0.31.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.43.2.0',plain,
% 0.59/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.43.1.2',theory(equality)]),
% 0.59/1.02 [u,rule_41]).
% 0.59/1.02 cnf('0.72.0.0',plain,
% 0.59/1.02 ( multiply(inverse(add(X1,X2)),inverse(X2)) = multiply(inverse(add(X1,X2)),add(X2,inverse(X2))) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.36.2.0','0.25.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.72.0.1',plain,
% 0.59/1.02 ( multiply(inverse(add(X1,X2)),inverse(X2)) = inverse(add(X1,X2)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.72.0.0','0.28.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.72.1.0',plain,
% 0.59/1.02 ( multiply(inverse(add(X1,X2)),inverse(X2)) = inverse(add(X1,X2)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.59/1.02 [weight('<7,36,25,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.72.1.1',plain,
% 0.59/1.02 ( multiply(inverse(X2),inverse(add(X1,X2))) = inverse(add(X1,X2)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.72.1.0','0.7.2.0',theory(equality)]),
% 0.59/1.02 [pos('L','L')]).
% 0.59/1.02 cnf('0.72.2.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),inverse(add(X2,X1))) = inverse(add(X2,X1)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.72.1.1',theory(equality)]),
% 0.59/1.02 [u,rule_70]).
% 0.59/1.02 cnf('0.79.0.0',plain,
% 0.59/1.02 ( inverse(add(X1,multiply(X2,X1))) = multiply(inverse(multiply(X2,X1)),inverse(X1)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.72.2.0','0.12.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2.1','L')]).
% 0.59/1.02 cnf('0.79.0.1',plain,
% 0.59/1.02 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),inverse(X1)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.79.0.0','0.12.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.79.1.0',plain,
% 0.59/1.02 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),inverse(X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.79.0.1']),
% 0.59/1.02 [weight('<7,72,12,[1,0,0,4]>')]).
% 0.59/1.02 cnf('0.79.1.1',plain,
% 0.59/1.02 ( inverse(X1) = multiply(inverse(X1),inverse(multiply(X2,X1))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.79.1.0','0.7.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.79.2.0',plain,
% 0.59/1.02 ( multiply(inverse(X1),inverse(multiply(X2,X1))) = inverse(X1) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.79.1.1',theory(equality)]),
% 0.59/1.02 [x,rule_77]).
% 0.59/1.02 cnf('0.80.0.0',plain,
% 0.59/1.02 ( add(inverse(inverse(X1)),inverse(multiply(X2,X1))) = add(inverse(inverse(X1)),inverse(X1)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.23.2.0','0.79.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.80.0.1',plain,
% 0.59/1.02 ( add(X1,inverse(multiply(X2,X1))) = add(inverse(inverse(X1)),inverse(X1)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.80.0.0','0.43.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.80.0.2',plain,
% 0.59/1.02 ( add(X1,inverse(multiply(X2,X1))) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.80.0.1','0.43.2.0',theory(equality)]),
% 0.59/1.02 [pos('R.1','L')]).
% 0.59/1.02 cnf('0.80.1.0',plain,
% 0.59/1.02 ( add(X1,inverse(multiply(X2,X1))) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.80.0.2']),
% 0.59/1.02 [weight('<6,79,23,[0,0,0,3]>')]).
% 0.59/1.02 cnf('0.80.2.0',plain,
% 0.59/1.02 ( add(X1,inverse(multiply(X2,X1))) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.59/1.02 [u,rule_78]).
% 0.59/1.02 cnf('0.81.0.0',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(X1,inverse(multiply(X1,X2))) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.80.2.0','0.7.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2.1','L')]).
% 0.59/1.02 cnf('0.81.1.0',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(X1,inverse(multiply(X1,X2))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.59/1.02 [weight('<6,80,7,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.81.2.0',plain,
% 0.59/1.02 ( add(X1,inverse(multiply(X1,X2))) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_79]).
% 0.59/1.02 cnf('0.101.0.0',plain,
% 0.59/1.02 ( add(inverse(multiply(X1,X2)),X1) = add(inverse(multiply(X1,X2)),multiply(X1,X2)) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.22.2.0','0.19.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.101.1.0',plain,
% 0.59/1.02 ( add(inverse(multiply(X1,X2)),X1) = add(inverse(multiply(X1,X2)),multiply(X1,X2)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.59/1.02 [weight('<8,22,19,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.101.1.1',plain,
% 0.59/1.02 ( add(X1,inverse(multiply(X1,X2))) = add(inverse(multiply(X1,X2)),multiply(X1,X2)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.101.1.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('L','L')]).
% 0.59/1.02 cnf('0.101.1.2',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(inverse(multiply(X1,X2)),multiply(X1,X2)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.101.1.1','0.81.2.0',theory(equality)]),
% 0.59/1.02 [pos('L','L')]).
% 0.59/1.02 cnf('0.101.1.3',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(multiply(X1,X2),inverse(multiply(X1,X2))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.101.1.2','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.101.2.0',plain,
% 0.59/1.02 ( add(multiply(X1,X2),inverse(multiply(X1,X2))) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.101.1.3',theory(equality)]),
% 0.59/1.02 [x,rule_99]).
% 0.59/1.02 cnf('0.106.0.0',plain,
% 0.59/1.02 ( add(multiply(X1,X2),inverse(multiply(X1,X2))) = add(inverse(multiply(X1,X2)),X2) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.25.2.0','0.12.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.2','L')]).
% 0.59/1.02 cnf('0.106.1.0',plain,
% 0.59/1.02 ( add(multiply(X1,X2),inverse(multiply(X1,X2))) = add(inverse(multiply(X1,X2)),X2) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.59/1.02 [weight('<8,25,12,[1,0,0,3]>')]).
% 0.59/1.02 cnf('0.106.1.1',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(inverse(multiply(X1,X2)),X2) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.106.1.0','0.101.2.0',theory(equality)]),
% 0.59/1.02 [pos('L','L')]).
% 0.59/1.02 cnf('0.106.1.2',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(X2,inverse(multiply(X1,X2))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.106.1.1','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.106.1.3',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(X2,inverse(X2)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.106.1.2','0.80.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.106.2.0',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(X2,inverse(X2)) ),
% 0.59/1.02 inference(activate,[status(thm)],['0.106.1.3']),
% 0.59/1.02 [equation_3]).
% 0.59/1.02 cnf('0.106.2.1',plain,
% 0.59/1.02 ( add(X1,inverse(X1)) = add(b,inverse(b)) ),
% 0.59/1.02 inference(instr,[status(thm)],['0.106.2.0',theory(equality)])).
% 0.59/1.02 cnf('0.106.2.2',plain,
% 0.59/1.02 ( add(b,inverse(b)) = add(X1,inverse(X1)) ),
% 0.59/1.02 inference(instl,[status(thm)],['0.106.2.0',theory(equality)])).
% 0.59/1.02 cnf('1.0.0.0',conjecture,
% 0.59/1.02 ( add(b,inverse(b)) = add(a,inverse(a)) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_7624_n020',conjecture_1)).
% 0.59/1.02 cnf('1.0.0.1',plain,
% 0.59/1.02 ( add(b,inverse(b)) = add(b,inverse(b)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.106.2.1',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('1.0.0.2',plain,
% 0.59/1.02 ( $true ),
% 0.59/1.02 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/1.02 [conjecture_1]).
% 0.59/1.02
% 0.59/1.02 Proved Goals:
% 0.59/1.02 No. 1: add(b,inverse(b)) ?= add(a,inverse(a)) joined, current: add(b,inverse(b)) = add(b,inverse(b))
% 0.59/1.02 1 goal was specified, which was proved.
% 0.59/1.02 % SZS output end CNFRefutation
% 0.59/1.02 #END OF PROOF
% 0.59/1.02
% 0.59/1.02 Problem WALDMEISTER_7624_n020
% 0.59/1.02 CPs.gen 5024
% 0.59/1.02 CPs.reexp 0
% 0.59/1.02 Select 490
% 0.59/1.02 R 103
% 0.59/1.02 E 3
% 0.59/1.02 vsize 6.5M
% 0.59/1.02 rss 3.8M
% 0.59/1.02 process.time 0.021s
% 0.59/1.02 wallclock.time 0.021s
% 0.59/1.02 status S
% 0.59/1.02
% 0.59/1.02
% 0.59/1.02 Waldmeister states: Goal proved.
% 0.59/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------