TSTP Solution File: GRP181-3 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP181-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 12:25:10 EDT 2022
% Result : Unsatisfiable 2.23s 2.65s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP181-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : woody %s
% 0.13/0.34 % Computer : n007.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 : Mon Jun 13 22:51:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.99 * |/ | \/ | *
% 0.60/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.99 * A. Jaeger and B. Loechner | | *
% 0.60/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 Goals:
% 0.60/0.99 ------
% 0.60/0.99
% 0.60/0.99 ( 1) a ?=? b
% 0.60/0.99
% 0.60/0.99 Detected structure: VerbandsgeordneteGruppe
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 2.23/2.65 joined goal: 1 a ?= b to b
% 2.23/2.65 goal joined
% 2.23/2.65 % SZS status Unsatisfiable
% 2.23/2.65 #START OF PROOF
% 2.23/2.65 % SZS output start CNFRefutation
% 2.23/2.65 cnf('0.1.0.0',axiom,
% 2.23/2.65 ( X1 = multiply(identity,X1) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.1.1.0',plain,
% 2.23/2.65 ( X1 = multiply(identity,X1) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.1.0.0']),
% 2.23/2.65 [weight('<0,0,0,[0,0,0,1]>')]).
% 2.23/2.65 cnf('0.1.2.0',plain,
% 2.23/2.65 ( multiply(identity,X1) = X1 ),
% 2.23/2.65 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_1]).
% 2.23/2.65 cnf('0.6.0.0',axiom,
% 2.23/2.65 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.6.1.0',plain,
% 2.23/2.65 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.23/2.65 [weight('<5,0,0,[0,0,0,6]>')]).
% 2.23/2.65 cnf('0.6.2.0',plain,
% 2.23/2.65 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_6]).
% 2.23/2.65 cnf('0.7.0.0',axiom,
% 2.23/2.65 ( multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.7.1.0',plain,
% 2.23/2.65 ( multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.23/2.65 [weight('<6,0,0,[0,0,0,7]>')]).
% 2.23/2.65 cnf('0.7.2.0',plain,
% 2.23/2.65 ( greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,greatest_lower_bound(X2,X3)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_7]).
% 2.23/2.65 cnf('0.9.0.0',axiom,
% 2.23/2.65 ( multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.9.1.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.23/2.65 [weight('<8,0,0,[0,0,0,9]>')]).
% 2.23/2.65 cnf('0.9.2.0',plain,
% 2.23/2.65 ( greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_9]).
% 2.23/2.65 cnf('0.11.0.0',axiom,
% 2.23/2.65 ( multiply(inverse(X1),X1) = identity ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.11.1.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),X1) = identity ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.11.0.0']),
% 2.23/2.65 [weight('<10,0,0,[0,0,0,11]>')]).
% 2.23/2.65 cnf('0.11.2.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),X1) = identity ),
% 2.23/2.65 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_11]).
% 2.23/2.65 cnf('0.12.0.0',axiom,
% 2.23/2.65 ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.12.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.12.0.0']),
% 2.23/2.65 [weight('<11,0,0,[0,0,0,12]>')]).
% 2.23/2.65 cnf('0.12.2.0',plain,
% 2.23/2.65 ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 2.23/2.65 inference(activate,[status(thm)],['0.12.1.0']),
% 2.23/2.65 [equation_1]).
% 2.23/2.65 cnf('0.14.0.0',axiom,
% 2.23/2.65 ( greatest_lower_bound(inverse(X1),inverse(X2)) = inverse(least_upper_bound(X1,X2)) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.14.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(inverse(X1),inverse(X2)) = inverse(least_upper_bound(X1,X2)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.14.0.0']),
% 2.23/2.65 [weight('<13,0,0,[0,0,0,14]>')]).
% 2.23/2.65 cnf('0.14.2.0',plain,
% 2.23/2.65 ( inverse(least_upper_bound(X1,X2)) = greatest_lower_bound(inverse(X1),inverse(X2)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_13]).
% 2.23/2.65 cnf('0.15.0.0',axiom,
% 2.23/2.65 ( greatest_lower_bound(a,c) = greatest_lower_bound(b,c) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.15.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(a,c) = greatest_lower_bound(b,c) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.15.0.0']),
% 2.23/2.65 [weight('<14,0,0,[0,0,0,15]>')]).
% 2.23/2.65 cnf('0.15.2.0',plain,
% 2.23/2.65 ( greatest_lower_bound(a,c) = greatest_lower_bound(b,c) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_14]).
% 2.23/2.65 cnf('0.19.0.0',axiom,
% 2.23/2.65 ( least_upper_bound(a,c) = least_upper_bound(b,c) ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007')).
% 2.23/2.65 cnf('0.19.1.0',plain,
% 2.23/2.65 ( least_upper_bound(a,c) = least_upper_bound(b,c) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.19.0.0']),
% 2.23/2.65 [weight('<18,0,0,[0,0,0,19]>')]).
% 2.23/2.65 cnf('0.19.2.0',plain,
% 2.23/2.65 ( least_upper_bound(a,c) = least_upper_bound(b,c) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_17]).
% 2.23/2.65 cnf('0.28.0.0',plain,
% 2.23/2.65 ( greatest_lower_bound(inverse(a),inverse(c)) = inverse(least_upper_bound(b,c)) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.14.2.0','0.19.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.28.0.1',plain,
% 2.23/2.65 ( greatest_lower_bound(inverse(a),inverse(c)) = greatest_lower_bound(inverse(b),inverse(c)) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.28.0.0','0.14.2.0',theory(equality)]),
% 2.23/2.65 [pos('R','L')]).
% 2.23/2.65 cnf('0.28.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(inverse(a),inverse(c)) = greatest_lower_bound(inverse(b),inverse(c)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.28.0.1']),
% 2.23/2.65 [weight('<5,19,14,[0,0,0,1]>')]).
% 2.23/2.65 cnf('0.28.2.0',plain,
% 2.23/2.65 ( greatest_lower_bound(inverse(a),inverse(c)) = greatest_lower_bound(inverse(b),inverse(c)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_26]).
% 2.23/2.65 cnf('0.36.0.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(identity,X2) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.6.2.0','0.11.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.36.0.1',plain,
% 2.23/2.65 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.36.0.0','0.1.2.0',theory(equality)]),
% 2.23/2.65 [pos('R','L')]).
% 2.23/2.65 cnf('0.36.1.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.36.0.1']),
% 2.23/2.65 [weight('<6,11,6,[0,0,0,1]>')]).
% 2.23/2.65 cnf('0.36.2.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 2.23/2.65 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_34]).
% 2.23/2.65 cnf('0.37.0.0',plain,
% 2.23/2.65 ( multiply(X1,X2) = multiply(inverse(inverse(X1)),X2) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.36.2.0','0.36.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2','L')]).
% 2.23/2.65 cnf('0.37.1.0',plain,
% 2.23/2.65 ( X1 = inverse(inverse(X1)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.37.0.0']),
% 2.23/2.65 [weight('<3,36,36,[0,0,0,3]>')]).
% 2.23/2.65 cnf('0.37.2.0',plain,
% 2.23/2.65 ( inverse(inverse(X1)) = X1 ),
% 2.23/2.65 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_35]).
% 2.23/2.65 cnf('0.39.0.0',plain,
% 2.23/2.65 ( identity = multiply(X1,inverse(X1)) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.11.2.0','0.37.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.39.1.0',plain,
% 2.23/2.65 ( identity = multiply(X1,inverse(X1)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.39.0.0']),
% 2.23/2.65 [weight('<4,37,11,[0,0,0,1]>')]).
% 2.23/2.65 cnf('0.39.2.0',plain,
% 2.23/2.65 ( multiply(X1,inverse(X1)) = identity ),
% 2.23/2.65 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_37]).
% 2.23/2.65 cnf('0.41.0.0',plain,
% 2.23/2.65 ( inverse(X1) = multiply(inverse(X1),identity) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.36.2.0','0.39.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2','L')]).
% 2.23/2.65 cnf('0.41.1.0',plain,
% 2.23/2.65 ( inverse(X1) = multiply(inverse(X1),identity) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.41.0.0']),
% 2.23/2.65 [weight('<4,39,36,[0,0,0,3]>')]).
% 2.23/2.65 cnf('0.41.2.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_39]).
% 2.23/2.65 cnf('0.42.0.0',plain,
% 2.23/2.65 ( inverse(inverse(X1)) = multiply(X1,identity) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.41.2.0','0.37.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.42.0.1',plain,
% 2.23/2.65 ( X1 = multiply(X1,identity) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.42.0.0','0.37.2.0',theory(equality)]),
% 2.23/2.65 [pos('L','L')]).
% 2.23/2.65 cnf('0.42.1.0',plain,
% 2.23/2.65 ( X1 = multiply(X1,identity) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.42.0.1']),
% 2.23/2.65 [weight('<3,41,37,[1,0,0,1]>')]).
% 2.23/2.65 cnf('0.42.2.0',plain,
% 2.23/2.65 ( multiply(X1,identity) = X1 ),
% 2.23/2.65 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_40]).
% 2.23/2.65 cnf('0.44.0.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),greatest_lower_bound(X2,X1)) = greatest_lower_bound(multiply(inverse(X1),X2),identity) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.7.2.0','0.11.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2','L')]).
% 2.23/2.65 cnf('0.44.1.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),greatest_lower_bound(X2,X1)) = greatest_lower_bound(multiply(inverse(X1),X2),identity) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.44.0.0']),
% 2.23/2.65 [weight('<6,11,7,[0,0,0,4]>')]).
% 2.23/2.65 cnf('0.44.1.1',plain,
% 2.23/2.65 ( multiply(inverse(X1),greatest_lower_bound(X2,X1)) = greatest_lower_bound(identity,multiply(inverse(X1),X2)) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.44.1.0','0.12.2.0',theory(equality)]),
% 2.23/2.65 [pos('R','L')]).
% 2.23/2.65 cnf('0.44.2.0',plain,
% 2.23/2.65 ( multiply(inverse(X1),greatest_lower_bound(X2,X1)) = greatest_lower_bound(identity,multiply(inverse(X1),X2)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.44.1.1',theory(equality)]),
% 2.23/2.65 [u,rule_42]).
% 2.23/2.65 cnf('0.56.0.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(X1,X2),inverse(X1)) = greatest_lower_bound(identity,multiply(X2,inverse(X1))) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.9.2.0','0.39.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.56.1.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(X1,X2),inverse(X1)) = greatest_lower_bound(identity,multiply(X2,inverse(X1))) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.56.0.0']),
% 2.23/2.65 [weight('<6,39,9,[0,0,0,1]>')]).
% 2.23/2.65 cnf('0.56.2.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(X1,X2),inverse(X1)) = greatest_lower_bound(identity,multiply(X2,inverse(X1))) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_54]).
% 2.23/2.65 cnf('0.62.0.0',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(inverse(inverse(c)),inverse(a))) = multiply(inverse(inverse(c)),greatest_lower_bound(inverse(b),inverse(c))) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.44.2.0','0.28.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2','L')]).
% 2.23/2.65 cnf('0.62.0.1',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(a))) = multiply(inverse(inverse(c)),greatest_lower_bound(inverse(b),inverse(c))) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.62.0.0','0.37.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2.1','L')]).
% 2.23/2.65 cnf('0.62.0.2',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(a))) = greatest_lower_bound(identity,multiply(inverse(inverse(c)),inverse(b))) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.62.0.1','0.44.2.0',theory(equality)]),
% 2.23/2.65 [pos('R','L')]).
% 2.23/2.65 cnf('0.62.0.3',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(a))) = greatest_lower_bound(identity,multiply(c,inverse(b))) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.62.0.2','0.37.2.0',theory(equality)]),
% 2.23/2.65 [pos('R.2.1','L')]).
% 2.23/2.65 cnf('0.62.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(a))) = greatest_lower_bound(identity,multiply(c,inverse(b))) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.62.0.3']),
% 2.23/2.65 [weight('<6,44,28,[1,0,0,3]>')]).
% 2.23/2.65 cnf('0.62.2.0',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(a))) = greatest_lower_bound(identity,multiply(c,inverse(b))) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_60]).
% 2.23/2.65 cnf('0.68.0.0',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(a))) = multiply(greatest_lower_bound(b,c),inverse(a)) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.56.2.0','0.15.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.68.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(a))) = multiply(greatest_lower_bound(b,c),inverse(a)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.68.0.0']),
% 2.23/2.65 [weight('<6,56,15,[1,0,0,1]>')]).
% 2.23/2.65 cnf('0.68.1.1',plain,
% 2.23/2.65 ( greatest_lower_bound(identity,multiply(c,inverse(b))) = multiply(greatest_lower_bound(b,c),inverse(a)) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.68.1.0','0.62.2.0',theory(equality)]),
% 2.23/2.65 [pos('L','L')]).
% 2.23/2.65 cnf('0.68.2.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(b,c),inverse(a)) = greatest_lower_bound(identity,multiply(c,inverse(b))) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.68.1.1',theory(equality)]),
% 2.23/2.65 [x,rule_66]).
% 2.23/2.65 cnf('0.195.0.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(b,c),multiply(inverse(a),X1)) = multiply(greatest_lower_bound(identity,multiply(c,inverse(b))),X1) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.6.2.0','0.68.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.195.1.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(b,c),multiply(inverse(a),X1)) = multiply(greatest_lower_bound(identity,multiply(c,inverse(b))),X1) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.195.0.0']),
% 2.23/2.65 [weight('<8,68,6,[0,0,0,1]>')]).
% 2.23/2.65 cnf('0.195.2.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(identity,multiply(c,inverse(b))),X1) = multiply(greatest_lower_bound(b,c),multiply(inverse(a),X1)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_193]).
% 2.23/2.65 cnf('0.516.0.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(multiply(X1,X2),X3),X4) = greatest_lower_bound(multiply(X1,multiply(X2,X4)),multiply(X3,X4)) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.516.1.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(multiply(X1,X2),X3),X4) = greatest_lower_bound(multiply(X1,multiply(X2,X4)),multiply(X3,X4)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.516.0.0']),
% 2.23/2.65 [weight('<9,9,6,[1,0,0,1]>')]).
% 2.23/2.65 cnf('0.516.2.0',plain,
% 2.23/2.65 ( greatest_lower_bound(multiply(X1,multiply(X2,X3)),multiply(X4,X3)) = multiply(greatest_lower_bound(multiply(X1,X2),X4),X3) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_512]).
% 2.23/2.65 cnf('0.517.0.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(multiply(X1,inverse(X2)),X3),X2) = greatest_lower_bound(multiply(X1,identity),multiply(X3,X2)) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.516.2.0','0.11.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1.2','L')]).
% 2.23/2.65 cnf('0.517.0.1',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(multiply(X1,inverse(X2)),X3),X2) = greatest_lower_bound(X1,multiply(X3,X2)) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.517.0.0','0.42.2.0',theory(equality)]),
% 2.23/2.65 [pos('R.1','L')]).
% 2.23/2.65 cnf('0.517.1.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(multiply(X1,inverse(X2)),X3),X2) = greatest_lower_bound(X1,multiply(X3,X2)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.517.0.1']),
% 2.23/2.65 [weight('<8,516,11,[1,0,0,3]>')]).
% 2.23/2.65 cnf('0.517.2.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(multiply(X1,inverse(X2)),X3),X2) = greatest_lower_bound(X1,multiply(X3,X2)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.517.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_513]).
% 2.23/2.65 cnf('0.519.0.0',plain,
% 2.23/2.65 ( greatest_lower_bound(X1,multiply(X2,X3)) = multiply(greatest_lower_bound(X2,multiply(X1,inverse(X3))),X3) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.517.2.0','0.12.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.1','L')]).
% 2.23/2.65 cnf('0.519.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(X1,multiply(X2,X3)) = multiply(greatest_lower_bound(X2,multiply(X1,inverse(X3))),X3) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.519.0.0']),
% 2.23/2.65 [weight('<8,517,12,[1,0,0,1]>')]).
% 2.23/2.65 cnf('0.519.2.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(X1,multiply(X2,inverse(X3))),X3) = greatest_lower_bound(X2,multiply(X1,X3)) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.519.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_515]).
% 2.23/2.65 cnf('0.521.0.0',plain,
% 2.23/2.65 ( greatest_lower_bound(c,multiply(identity,b)) = multiply(greatest_lower_bound(b,c),multiply(inverse(a),b)) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.519.2.0','0.195.2.0',theory(equality)]),
% 2.23/2.65 [pos('L','L')]).
% 2.23/2.65 cnf('0.521.0.1',plain,
% 2.23/2.65 ( greatest_lower_bound(c,b) = multiply(greatest_lower_bound(b,c),multiply(inverse(a),b)) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.521.0.0','0.1.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2','L')]).
% 2.23/2.65 cnf('0.521.1.0',plain,
% 2.23/2.65 ( greatest_lower_bound(c,b) = multiply(greatest_lower_bound(b,c),multiply(inverse(a),b)) ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.521.0.1']),
% 2.23/2.65 [weight('<8,519,195,[1,0,0,0]>')]).
% 2.23/2.65 cnf('0.521.1.1',plain,
% 2.23/2.65 ( greatest_lower_bound(b,c) = multiply(greatest_lower_bound(b,c),multiply(inverse(a),b)) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.521.1.0','0.12.2.0',theory(equality)]),
% 2.23/2.65 [pos('L','L')]).
% 2.23/2.65 cnf('0.521.2.0',plain,
% 2.23/2.65 ( multiply(greatest_lower_bound(b,c),multiply(inverse(a),b)) = greatest_lower_bound(b,c) ),
% 2.23/2.65 inference(orient,[status(thm)],['0.521.1.1',theory(equality)]),
% 2.23/2.65 [x,rule_517]).
% 2.23/2.65 cnf('0.522.0.0',plain,
% 2.23/2.65 ( multiply(inverse(a),b) = multiply(inverse(greatest_lower_bound(b,c)),greatest_lower_bound(b,c)) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.36.2.0','0.521.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2','L')]).
% 2.23/2.65 cnf('0.522.0.1',plain,
% 2.23/2.65 ( multiply(inverse(a),b) = identity ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.522.0.0','0.11.2.0',theory(equality)]),
% 2.23/2.65 [pos('R','L')]).
% 2.23/2.65 cnf('0.522.1.0',plain,
% 2.23/2.65 ( multiply(inverse(a),b) = identity ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.522.0.1']),
% 2.23/2.65 [weight('<4,521,36,[0,0,0,3]>')]).
% 2.23/2.65 cnf('0.522.2.0',plain,
% 2.23/2.65 ( multiply(inverse(a),b) = identity ),
% 2.23/2.65 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 2.23/2.65 [u,rule_518]).
% 2.23/2.65 cnf('0.523.0.0',plain,
% 2.23/2.65 ( b = multiply(inverse(inverse(a)),identity) ),
% 2.23/2.65 inference(cp,[status(thm)],['0.36.2.0','0.522.2.0',theory(equality)]),
% 2.23/2.65 [pos('L.2','L')]).
% 2.23/2.65 cnf('0.523.0.1',plain,
% 2.23/2.65 ( b = inverse(inverse(a)) ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.523.0.0','0.42.2.0',theory(equality)]),
% 2.23/2.65 [pos('R','L')]).
% 2.23/2.65 cnf('0.523.0.2',plain,
% 2.23/2.65 ( b = a ),
% 2.23/2.65 inference(reduction,[status(thm)],['0.523.0.1','0.37.2.0',theory(equality)]),
% 2.23/2.65 [pos('R','L')]).
% 2.23/2.65 cnf('0.523.1.0',plain,
% 2.23/2.65 ( b = a ),
% 2.23/2.65 inference(weigh,[status(thm)],['0.523.0.2']),
% 2.23/2.65 [weight('<1,522,36,[0,0,0,3]>')]).
% 2.23/2.65 cnf('0.523.2.0',plain,
% 2.23/2.65 ( a = b ),
% 2.23/2.65 inference(orient,[status(thm)],['0.523.1.0',theory(equality)]),
% 2.23/2.65 [x,rule_519]).
% 2.23/2.65 cnf('1.0.0.0',conjecture,
% 2.23/2.65 ( a = b ),
% 2.23/2.65 file('/tmp/WALDMEISTER_29358_n007',conjecture_1)).
% 2.23/2.65 cnf('1.0.0.1',plain,
% 2.23/2.65 ( b = b ),
% 2.23/2.65 inference(reduction,[status(thm)],['1.0.0.0','0.523.2.0',theory(equality)]),
% 2.23/2.65 [pos('L','L')]).
% 2.23/2.65 cnf('1.0.0.2',plain,
% 2.23/2.65 ( $true ),
% 2.23/2.65 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 2.23/2.65 [conjecture_1]).
% 2.23/2.65
% 2.23/2.65 Proved Goals:
% 2.23/2.65 No. 1: a ?= b joined, current: b = b
% 2.23/2.65 1 goal was specified, which was proved.
% 2.23/2.65 % SZS output end CNFRefutation
% 2.23/2.65 #END OF PROOF
% 2.23/2.65
% 2.23/2.65 Problem WALDMEISTER_29358_n007
% 2.23/2.65 CPs.gen 35666
% 2.23/2.65 CPs.reexp 0
% 2.23/2.65 Select 3354
% 2.23/2.65 R 519
% 2.23/2.65 E 4
% 2.23/2.65 vsize 6.6M
% 2.23/2.65 rss 4.0M
% 2.23/2.65 process.time 0.285s
% 2.23/2.65 wallclock.time 1.667s
% 2.23/2.65 status S
% 2.23/2.65
% 2.23/2.65
% 2.23/2.65 Waldmeister states: Goal proved.
% 2.23/2.65 % SZS status Unsatisfiable
% 2.23/2.65
% 2.23/2.65 Problem WALDMEISTER_29358_n007
% 2.23/2.65 CPs.gen 190288
% 2.23/2.65 CPs.reexp 0
% 2.23/2.65 Select 12604
% 2.23/2.65 R 914
% 2.23/2.65 E 13
% 2.23/2.65 vsize 7.3M
% 2.23/2.65 rss 4.8M
% 2.23/2.65 process.time 1.384s
% 2.23/2.65 wallclock.time 1.668s
% 2.23/2.65 status S
%------------------------------------------------------------------------------