TSTP Solution File: BOO028-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:52:53 EDT 2022
% Result : Unsatisfiable 0.78s 1.19s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 20:38:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) add(multiply(b,a),multiply(c,a)) ?=? multiply(a,add(b,c))
% 0.59/0.99
% 0.59/0.99 Detected structure: Verband
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.78/1.19 joined goal: 1 add(multiply(b,a),multiply(c,a)) ?= multiply(a,add(b,c)) to multiply(a,add(c,b))
% 0.78/1.19 goal joined
% 0.78/1.19 % SZS status Unsatisfiable
% 0.78/1.19 #START OF PROOF
% 0.78/1.19 % SZS output start CNFRefutation
% 0.78/1.19 cnf('0.1.0.0',axiom,
% 0.78/1.19 ( X1 = add(X1,multiply(X2,multiply(X1,X3))) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.1.1.0',plain,
% 0.78/1.19 ( X1 = add(X1,multiply(X2,multiply(X1,X3))) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.78/1.19 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.78/1.19 cnf('0.1.2.0',plain,
% 0.78/1.19 ( add(X1,multiply(X2,multiply(X1,X3))) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_1]).
% 0.78/1.19 cnf('0.3.0.0',axiom,
% 0.78/1.19 ( X1 = add(multiply(X1,X2),multiply(X1,inverse(X2))) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.3.1.0',plain,
% 0.78/1.19 ( X1 = add(multiply(X1,X2),multiply(X1,inverse(X2))) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.78/1.19 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.78/1.19 cnf('0.3.2.0',plain,
% 0.78/1.19 ( add(multiply(X1,X2),multiply(X1,inverse(X2))) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_3]).
% 0.78/1.19 cnf('0.4.0.0',axiom,
% 0.78/1.19 ( X1 = multiply(X1,add(X2,add(X1,X3))) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.4.1.0',plain,
% 0.78/1.19 ( X1 = multiply(X1,add(X2,add(X1,X3))) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.78/1.19 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.78/1.19 cnf('0.4.2.0',plain,
% 0.78/1.19 ( multiply(X1,add(X2,add(X1,X3))) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_4]).
% 0.78/1.19 cnf('0.5.0.0',axiom,
% 0.78/1.19 ( X1 = multiply(add(X1,X2),add(X1,inverse(X2))) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.5.1.0',plain,
% 0.78/1.19 ( X1 = multiply(add(X1,X2),add(X1,inverse(X2))) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.78/1.19 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.78/1.19 cnf('0.5.2.0',plain,
% 0.78/1.19 ( multiply(add(X1,X2),add(X1,inverse(X2))) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_5]).
% 0.78/1.19 cnf('0.7.0.0',axiom,
% 0.78/1.19 ( add(X1,X2) = add(X2,X1) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.7.1.0',plain,
% 0.78/1.19 ( add(X1,X2) = add(X2,X1) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.78/1.19 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.78/1.19 cnf('0.7.2.0',plain,
% 0.78/1.19 ( add(X1,X2) = add(X2,X1) ),
% 0.78/1.19 inference(activate,[status(thm)],['0.7.1.0']),
% 0.78/1.19 [equation_1]).
% 0.78/1.19 cnf('0.8.0.0',axiom,
% 0.78/1.19 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.8.1.0',plain,
% 0.78/1.19 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.78/1.19 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.78/1.19 cnf('0.8.2.0',plain,
% 0.78/1.19 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_7]).
% 0.78/1.19 cnf('0.9.0.0',axiom,
% 0.78/1.19 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.9.1.0',plain,
% 0.78/1.19 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.78/1.19 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.78/1.19 cnf('0.9.2.0',plain,
% 0.78/1.19 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.78/1.19 inference(activate,[status(thm)],['0.9.1.0']),
% 0.78/1.19 [equation_2]).
% 0.78/1.19 cnf('0.10.0.0',axiom,
% 0.78/1.19 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028')).
% 0.78/1.19 cnf('0.10.1.0',plain,
% 0.78/1.19 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.78/1.19 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.78/1.19 cnf('0.10.2.0',plain,
% 0.78/1.19 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_8]).
% 0.78/1.19 cnf('0.11.0.0',plain,
% 0.78/1.19 ( X1 = add(X1,multiply(X2,X1)) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2.2','L')]).
% 0.78/1.19 cnf('0.11.1.0',plain,
% 0.78/1.19 ( X1 = add(X1,multiply(X2,X1)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.78/1.19 [weight('<5,4,1,[0,0,0,4]>')]).
% 0.78/1.19 cnf('0.11.2.0',plain,
% 0.78/1.19 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_9]).
% 0.78/1.19 cnf('0.12.0.0',plain,
% 0.78/1.19 ( X1 = multiply(X1,add(X2,X1)) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2.2','L')]).
% 0.78/1.19 cnf('0.12.1.0',plain,
% 0.78/1.19 ( X1 = multiply(X1,add(X2,X1)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.78/1.19 [weight('<5,4,1,[1,0,0,4]>')]).
% 0.78/1.19 cnf('0.12.2.0',plain,
% 0.78/1.19 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_10]).
% 0.78/1.19 cnf('0.21.0.0',plain,
% 0.78/1.19 ( multiply(X1,X2) = multiply(multiply(X1,X2),add(X3,X1)) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2.2','L')]).
% 0.78/1.19 cnf('0.21.1.0',plain,
% 0.78/1.19 ( multiply(X1,X2) = multiply(multiply(X1,X2),add(X3,X1)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.78/1.19 [weight('<7,4,3,[1,0,0,4]>')]).
% 0.78/1.19 cnf('0.21.1.1',plain,
% 0.78/1.19 ( multiply(X1,X2) = multiply(X1,multiply(X2,add(X3,X1))) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.21.1.0','0.10.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.21.2.0',plain,
% 0.78/1.19 ( multiply(X1,multiply(X2,add(X3,X1))) = multiply(X1,X2) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.21.1.1',theory(equality)]),
% 0.78/1.19 [x,rule_19]).
% 0.78/1.19 cnf('0.22.0.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.21.2.0','0.5.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.22.1.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.78/1.19 [weight('<6,21,5,[1,0,0,2]>')]).
% 0.78/1.19 cnf('0.22.2.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_20]).
% 0.78/1.19 cnf('0.23.0.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),X2) = multiply(inverse(X1),add(X1,X2)) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.22.2.0','0.7.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.23.1.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),X2) = multiply(inverse(X1),add(X1,X2)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.78/1.19 [weight('<6,22,7,[1,0,0,3]>')]).
% 0.78/1.19 cnf('0.23.2.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),add(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_21]).
% 0.78/1.19 cnf('0.25.0.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(X2,X1)) = multiply(inverse(X1),X1) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.23.2.0','0.11.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.25.1.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(X2,X1)) = multiply(inverse(X1),X1) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.78/1.19 [weight('<6,23,11,[1,0,0,3]>')]).
% 0.78/1.19 cnf('0.25.1.1',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(X2,X1)) = multiply(X1,inverse(X1)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.25.1.0','0.9.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.25.2.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(X2,X1)) = multiply(X1,inverse(X1)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.25.1.1',theory(equality)]),
% 0.78/1.19 [u,rule_23]).
% 0.78/1.19 cnf('0.28.0.0',plain,
% 0.78/1.19 ( X1 = add(X1,multiply(X2,inverse(X2))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.1.2.0','0.25.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.28.1.0',plain,
% 0.78/1.19 ( X1 = add(X1,multiply(X2,inverse(X2))) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.78/1.19 [weight('<6,25,1,[0,0,0,2]>')]).
% 0.78/1.19 cnf('0.28.2.0',plain,
% 0.78/1.19 ( add(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_26]).
% 0.78/1.19 cnf('0.30.0.0',plain,
% 0.78/1.19 ( X1 = add(multiply(X2,inverse(X2)),X1) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.28.2.0','0.7.2.0',theory(equality)]),
% 0.78/1.19 [pos('L','L')]).
% 0.78/1.19 cnf('0.30.1.0',plain,
% 0.78/1.19 ( X1 = add(multiply(X2,inverse(X2)),X1) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.78/1.19 [weight('<6,28,7,[1,0,0,0]>')]).
% 0.78/1.19 cnf('0.30.2.0',plain,
% 0.78/1.19 ( add(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_28]).
% 0.78/1.19 cnf('0.31.0.0',plain,
% 0.78/1.19 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.78/1.19 inference(cp,[status(thm)],['0.30.2.0','0.3.2.0',theory(equality)]),
% 0.78/1.19 [pos('L','L')]).
% 0.78/1.19 cnf('0.31.1.0',plain,
% 0.78/1.19 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.78/1.19 [weight('<5,30,3,[1,0,0,0]>')]).
% 0.78/1.19 cnf('0.31.2.0',plain,
% 0.78/1.19 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_29]).
% 0.78/1.19 cnf('0.35.0.0',plain,
% 0.78/1.19 ( add(X1,X2) = add(add(X1,X2),multiply(X3,X1)) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2.2','L')]).
% 0.78/1.19 cnf('0.35.1.0',plain,
% 0.78/1.19 ( add(X1,X2) = add(add(X1,X2),multiply(X3,X1)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.78/1.19 [weight('<7,5,1,[0,0,0,4]>')]).
% 0.78/1.19 cnf('0.35.1.1',plain,
% 0.78/1.19 ( add(X1,X2) = add(X1,add(X2,multiply(X3,X1))) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.35.1.0','0.8.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.35.2.0',plain,
% 0.78/1.19 ( add(X1,add(X2,multiply(X3,X1))) = add(X1,X2) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 0.78/1.19 [x,rule_33]).
% 0.78/1.19 cnf('0.36.0.0',plain,
% 0.78/1.19 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.35.2.0','0.3.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.36.1.0',plain,
% 0.78/1.19 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.78/1.19 [weight('<6,35,3,[1,0,0,2]>')]).
% 0.78/1.19 cnf('0.36.2.0',plain,
% 0.78/1.19 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_34]).
% 0.78/1.19 cnf('0.37.0.0',plain,
% 0.78/1.19 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X1,X2)) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.36.2.0','0.9.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.37.1.0',plain,
% 0.78/1.19 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X1,X2)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.78/1.19 [weight('<6,36,9,[1,0,0,3]>')]).
% 0.78/1.19 cnf('0.37.2.0',plain,
% 0.78/1.19 ( add(inverse(X1),multiply(X1,X2)) = add(inverse(X1),X2) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_35]).
% 0.78/1.19 cnf('0.42.0.0',plain,
% 0.78/1.19 ( add(inverse(X1),inverse(inverse(X1))) = add(inverse(X1),X1) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.37.2.0','0.31.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.42.1.0',plain,
% 0.78/1.19 ( add(inverse(X1),inverse(inverse(X1))) = add(inverse(X1),X1) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.78/1.19 [weight('<6,37,31,[1,0,0,3]>')]).
% 0.78/1.19 cnf('0.42.1.1',plain,
% 0.78/1.19 ( add(inverse(X1),inverse(inverse(X1))) = add(X1,inverse(X1)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.42.1.0','0.7.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.42.2.0',plain,
% 0.78/1.19 ( add(inverse(X1),inverse(inverse(X1))) = add(X1,inverse(X1)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.42.1.1',theory(equality)]),
% 0.78/1.19 [u,rule_40]).
% 0.78/1.19 cnf('0.43.0.0',plain,
% 0.78/1.19 ( inverse(inverse(X1)) = multiply(inverse(inverse(X1)),add(X1,inverse(X1))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.12.2.0','0.42.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.43.0.1',plain,
% 0.78/1.19 ( inverse(inverse(X1)) = multiply(inverse(inverse(X1)),X1) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.43.0.0','0.22.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.43.1.0',plain,
% 0.78/1.19 ( inverse(inverse(X1)) = multiply(inverse(inverse(X1)),X1) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.78/1.19 [weight('<5,42,12,[0,0,0,2]>')]).
% 0.78/1.19 cnf('0.43.1.1',plain,
% 0.78/1.19 ( inverse(inverse(X1)) = multiply(X1,inverse(inverse(X1))) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.43.1.0','0.9.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.43.1.2',plain,
% 0.78/1.19 ( inverse(inverse(X1)) = X1 ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.43.1.1','0.31.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.43.2.0',plain,
% 0.78/1.19 ( inverse(inverse(X1)) = X1 ),
% 0.78/1.19 inference(orient,[status(thm)],['0.43.1.2',theory(equality)]),
% 0.78/1.19 [u,rule_41]).
% 0.78/1.19 cnf('0.94.0.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(add(X2,X1),X3)) = multiply(multiply(inverse(X1),X2),X3) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.10.2.0','0.22.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.1','L')]).
% 0.78/1.19 cnf('0.94.0.1',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(add(X2,X1),X3)) = multiply(inverse(X1),multiply(X2,X3)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.94.0.0','0.10.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.94.1.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(add(X2,X1),X3)) = multiply(inverse(X1),multiply(X2,X3)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.94.0.1']),
% 0.78/1.19 [weight('<8,22,10,[0,0,0,1]>')]).
% 0.78/1.19 cnf('0.94.2.0',plain,
% 0.78/1.19 ( multiply(inverse(X1),multiply(add(X2,X1),X3)) = multiply(inverse(X1),multiply(X2,X3)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_92]).
% 0.78/1.19 cnf('0.95.0.0',plain,
% 0.78/1.19 ( add(inverse(inverse(X1)),multiply(add(X2,X1),X3)) = add(inverse(inverse(X1)),multiply(inverse(X1),multiply(X2,X3))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.37.2.0','0.94.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.95.0.1',plain,
% 0.78/1.19 ( add(X1,multiply(add(X2,X1),X3)) = add(inverse(inverse(X1)),multiply(inverse(X1),multiply(X2,X3))) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.95.0.0','0.43.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.1','L')]).
% 0.78/1.19 cnf('0.95.0.2',plain,
% 0.78/1.19 ( add(X1,multiply(add(X2,X1),X3)) = add(inverse(inverse(X1)),multiply(X2,X3)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.95.0.1','0.37.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.95.0.3',plain,
% 0.78/1.19 ( add(X1,multiply(add(X2,X1),X3)) = add(X1,multiply(X2,X3)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.95.0.2','0.43.2.0',theory(equality)]),
% 0.78/1.19 [pos('R.1','L')]).
% 0.78/1.19 cnf('0.95.1.0',plain,
% 0.78/1.19 ( add(X1,multiply(add(X2,X1),X3)) = add(X1,multiply(X2,X3)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.95.0.3']),
% 0.78/1.19 [weight('<7,94,37,[0,0,0,3]>')]).
% 0.78/1.19 cnf('0.95.2.0',plain,
% 0.78/1.19 ( add(X1,multiply(add(X2,X1),X3)) = add(X1,multiply(X2,X3)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_93]).
% 0.78/1.19 cnf('0.97.0.0',plain,
% 0.78/1.19 ( add(X1,multiply(X2,X3)) = add(X1,multiply(X3,add(X2,X1))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.95.2.0','0.9.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.97.1.0',plain,
% 0.78/1.19 ( add(X1,multiply(X2,X3)) = add(X1,multiply(X3,add(X2,X1))) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.97.0.0']),
% 0.78/1.19 [weight('<7,95,9,[1,0,0,2]>')]).
% 0.78/1.19 cnf('0.97.2.0',plain,
% 0.78/1.19 ( add(X1,multiply(X2,add(X3,X1))) = add(X1,multiply(X3,X2)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_95]).
% 0.78/1.19 cnf('0.110.0.0',plain,
% 0.78/1.19 ( add(inverse(X1),add(multiply(X2,X1),X3)) = add(add(inverse(X1),X2),X3) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.8.2.0','0.36.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.1','L')]).
% 0.78/1.19 cnf('0.110.0.1',plain,
% 0.78/1.19 ( add(inverse(X1),add(multiply(X2,X1),X3)) = add(inverse(X1),add(X2,X3)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.110.0.0','0.8.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.110.1.0',plain,
% 0.78/1.19 ( add(inverse(X1),add(multiply(X2,X1),X3)) = add(inverse(X1),add(X2,X3)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.110.0.1']),
% 0.78/1.19 [weight('<8,36,8,[0,0,0,1]>')]).
% 0.78/1.19 cnf('0.110.2.0',plain,
% 0.78/1.19 ( add(inverse(X1),add(multiply(X2,X1),X3)) = add(inverse(X1),add(X2,X3)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_107]).
% 0.78/1.19 cnf('0.111.0.0',plain,
% 0.78/1.19 ( multiply(inverse(inverse(X1)),add(multiply(X2,X1),X3)) = multiply(inverse(inverse(X1)),add(inverse(X1),add(X2,X3))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.23.2.0','0.110.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.111.0.1',plain,
% 0.78/1.19 ( multiply(X1,add(multiply(X2,X1),X3)) = multiply(inverse(inverse(X1)),add(inverse(X1),add(X2,X3))) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.111.0.0','0.43.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.1','L')]).
% 0.78/1.19 cnf('0.111.0.2',plain,
% 0.78/1.19 ( multiply(X1,add(multiply(X2,X1),X3)) = multiply(inverse(inverse(X1)),add(X2,X3)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.111.0.1','0.23.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.111.0.3',plain,
% 0.78/1.19 ( multiply(X1,add(multiply(X2,X1),X3)) = multiply(X1,add(X2,X3)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.111.0.2','0.43.2.0',theory(equality)]),
% 0.78/1.19 [pos('R.1','L')]).
% 0.78/1.19 cnf('0.111.1.0',plain,
% 0.78/1.19 ( multiply(X1,add(multiply(X2,X1),X3)) = multiply(X1,add(X2,X3)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.111.0.3']),
% 0.78/1.19 [weight('<7,110,23,[0,0,0,3]>')]).
% 0.78/1.19 cnf('0.111.2.0',plain,
% 0.78/1.19 ( multiply(X1,add(multiply(X2,X1),X3)) = multiply(X1,add(X2,X3)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_108]).
% 0.78/1.19 cnf('0.112.0.0',plain,
% 0.78/1.19 ( multiply(X1,add(X2,X3)) = multiply(X1,add(X3,multiply(X2,X1))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.111.2.0','0.7.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.112.1.0',plain,
% 0.78/1.19 ( multiply(X1,add(X2,X3)) = multiply(X1,add(X3,multiply(X2,X1))) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.112.0.0']),
% 0.78/1.19 [weight('<7,111,7,[1,0,0,2]>')]).
% 0.78/1.19 cnf('0.112.2.0',plain,
% 0.78/1.19 ( multiply(X1,add(X2,multiply(X3,X1))) = multiply(X1,add(X3,X2)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.78/1.19 [x,rule_109]).
% 0.78/1.19 cnf('0.298.0.0',plain,
% 0.78/1.19 ( multiply(X1,add(X2,X3)) = add(multiply(X1,add(X2,X3)),multiply(X3,X1)) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.11.2.0','0.21.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('0.298.1.0',plain,
% 0.78/1.19 ( multiply(X1,add(X2,X3)) = add(multiply(X1,add(X2,X3)),multiply(X3,X1)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.298.0.0']),
% 0.78/1.19 [weight('<9,21,11,[0,0,0,2]>')]).
% 0.78/1.19 cnf('0.298.1.1',plain,
% 0.78/1.19 ( multiply(X1,add(X2,X3)) = add(multiply(X3,X1),multiply(X1,add(X2,X3))) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.298.1.0','0.7.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.298.2.0',plain,
% 0.78/1.19 ( add(multiply(X1,X2),multiply(X2,add(X3,X1))) = multiply(X2,add(X3,X1)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.298.1.1',theory(equality)]),
% 0.78/1.19 [x,rule_290]).
% 0.78/1.19 cnf('0.299.0.0',plain,
% 0.78/1.19 ( multiply(add(X1,X2),add(X3,X2)) = add(X2,multiply(add(X1,X2),add(X3,X2))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.298.2.0','0.12.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.1','L')]).
% 0.78/1.19 cnf('0.299.0.1',plain,
% 0.78/1.19 ( multiply(add(X1,X2),add(X3,X2)) = add(X2,multiply(X1,add(X3,X2))) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.299.0.0','0.95.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.299.0.2',plain,
% 0.78/1.19 ( multiply(add(X1,X2),add(X3,X2)) = add(X2,multiply(X3,X1)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.299.0.1','0.97.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.299.1.0',plain,
% 0.78/1.19 ( multiply(add(X1,X2),add(X3,X2)) = add(X2,multiply(X3,X1)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.299.0.2']),
% 0.78/1.19 [weight('<7,298,12,[1,0,0,1]>')]).
% 0.78/1.19 cnf('0.299.2.0',plain,
% 0.78/1.19 ( multiply(add(X1,X2),add(X3,X2)) = add(X2,multiply(X3,X1)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.299.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_291]).
% 0.78/1.19 cnf('0.302.0.0',plain,
% 0.78/1.19 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X3,multiply(X1,X2))) ),
% 0.78/1.19 inference(cp,[status(thm)],['0.299.2.0','0.11.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.1','L')]).
% 0.78/1.19 cnf('0.302.0.1',plain,
% 0.78/1.19 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['0.302.0.0','0.112.2.0',theory(equality)]),
% 0.78/1.19 [pos('R','L')]).
% 0.78/1.19 cnf('0.302.1.0',plain,
% 0.78/1.19 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.78/1.19 inference(weigh,[status(thm)],['0.302.0.1']),
% 0.78/1.19 [weight('<7,299,11,[1,0,0,1]>')]).
% 0.78/1.19 cnf('0.302.2.0',plain,
% 0.78/1.19 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.78/1.19 inference(orient,[status(thm)],['0.302.1.0',theory(equality)]),
% 0.78/1.19 [u,rule_294]).
% 0.78/1.19 cnf('1.0.0.0',conjecture,
% 0.78/1.19 ( add(multiply(b,a),multiply(c,a)) = multiply(a,add(b,c)) ),
% 0.78/1.19 file('/tmp/WALDMEISTER_4321_n028',conjecture_1)).
% 0.78/1.19 cnf('1.0.0.1',plain,
% 0.78/1.19 ( multiply(a,add(b,c)) = multiply(a,add(b,c)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['1.0.0.0','0.302.2.0',theory(equality)]),
% 0.78/1.19 [pos('L','L')]).
% 0.78/1.19 cnf('1.0.0.2',plain,
% 0.78/1.19 ( multiply(a,add(c,b)) = multiply(a,add(b,c)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['1.0.0.1','0.7.2.0',theory(equality)]),
% 0.78/1.19 [pos('L.2','L')]).
% 0.78/1.19 cnf('1.0.0.3',plain,
% 0.78/1.19 ( multiply(a,add(c,b)) = multiply(a,add(c,b)) ),
% 0.78/1.19 inference(reduction,[status(thm)],['1.0.0.2','0.7.2.0',theory(equality)]),
% 0.78/1.19 [pos('R.2','L')]).
% 0.78/1.19 cnf('1.0.0.4',plain,
% 0.78/1.19 ( $true ),
% 0.78/1.19 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.78/1.19 [conjecture_1]).
% 0.78/1.19
% 0.78/1.19 Proved Goals:
% 0.78/1.19 No. 1: add(multiply(b,a),multiply(c,a)) ?= multiply(a,add(b,c)) joined, current: multiply(a,add(c,b)) = multiply(a,add(c,b))
% 0.78/1.19 1 goal was specified, which was proved.
% 0.78/1.19 % SZS output end CNFRefutation
% 0.78/1.19 #END OF PROOF
% 0.78/1.19
% 0.78/1.19 Problem WALDMEISTER_4321_n028
% 0.78/1.19 CPs.gen 51499
% 0.78/1.19 CPs.reexp 0
% 0.78/1.19 Select 4096
% 0.78/1.19 R 294
% 0.78/1.19 E 8
% 0.78/1.19 vsize 6.4M
% 0.78/1.19 rss 3.8M
% 0.78/1.19 process.time 0.202s
% 0.78/1.19 wallclock.time 0.203s
% 0.78/1.19 status S
% 0.78/1.19
% 0.78/1.19
% 0.78/1.19 Waldmeister states: Goal proved.
% 0.78/1.19 % SZS status Unsatisfiable
%------------------------------------------------------------------------------