%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP192-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.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 12:25:20 EDT 2022
% Result : Unsatisfiable 0.58s 0.98s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP192-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n019.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 06:38:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.58/0.98
% 0.58/0.98 Detected structure: VerbandsgeordneteGruppe
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98 joined goal: 1 multiply(a,b) ?= multiply(b,a) to identity
% 0.58/0.98 goal joined
% 0.58/0.98 % SZS status Unsatisfiable
% 0.58/0.98 #START OF PROOF
% 0.58/0.98 % SZS output start CNFRefutation
% 0.58/0.98 cnf('0.1.0.0',axiom,
% 0.58/0.98 ( X1 = multiply(identity,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_23660_n019')).
% 0.58/0.98 cnf('0.1.1.0',plain,
% 0.58/0.98 ( X1 = multiply(identity,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.98 cnf('0.1.2.0',plain,
% 0.58/0.98 ( multiply(identity,X1) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_1]).
% 0.58/0.98 cnf('0.3.0.0',axiom,
% 0.58/0.98 ( X1 = least_upper_bound(X1,greatest_lower_bound(X1,X2)) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_23660_n019')).
% 0.58/0.98 cnf('0.3.1.0',plain,
% 0.58/0.98 ( X1 = least_upper_bound(X1,greatest_lower_bound(X1,X2)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.98 cnf('0.3.2.0',plain,
% 0.58/0.98 ( least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_3]).
% 0.58/0.98 cnf('0.4.0.0',axiom,
% 0.58/0.98 ( X1 = least_upper_bound(identity,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_23660_n019')).
% 0.58/0.98 cnf('0.4.1.0',plain,
% 0.58/0.98 ( X1 = least_upper_bound(identity,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/0.98 cnf('0.4.2.0',plain,
% 0.58/0.98 ( least_upper_bound(identity,X1) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_4]).
% 0.58/0.98 cnf('0.11.0.0',axiom,
% 0.58/0.98 ( multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_23660_n019')).
% 0.58/0.98 cnf('0.11.1.0',plain,
% 0.58/0.98 ( multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.98 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.58/0.98 cnf('0.11.2.0',plain,
% 0.58/0.98 ( multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_11]).
% 0.58/0.98 cnf('0.12.0.0',axiom,
% 0.58/0.98 ( multiply(inverse(X1),X1) = identity ),
% 0.58/0.98 file('/tmp/WALDMEISTER_23660_n019')).
% 0.58/0.98 cnf('0.12.1.0',plain,
% 0.58/0.98 ( multiply(inverse(X1),X1) = identity ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/0.98 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.58/0.98 cnf('0.12.2.0',plain,
% 0.58/0.98 ( multiply(inverse(X1),X1) = identity ),
% 0.58/0.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_12]).
% 0.58/0.98 cnf('0.15.0.0',axiom,
% 0.58/0.98 ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_23660_n019')).
% 0.58/0.98 cnf('0.15.1.0',plain,
% 0.58/0.98 ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.58/0.98 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.58/0.98 cnf('0.15.2.0',plain,
% 0.58/0.98 ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 0.58/0.98 inference(activate,[status(thm)],['0.15.1.0']),
% 0.58/0.98 [equation_2]).
% 0.58/0.98 cnf('0.17.0.0',plain,
% 0.58/0.98 ( greatest_lower_bound(identity,X1) = identity ),
% 0.58/0.98 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.17.1.0',plain,
% 0.58/0.98 ( greatest_lower_bound(identity,X1) = identity ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.58/0.98 [weight('<19,4,3,[1,0,0,0]>')]).
% 0.58/0.98 cnf('0.17.2.0',plain,
% 0.58/0.98 ( greatest_lower_bound(identity,X1) = identity ),
% 0.58/0.98 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_15]).
% 0.58/0.98 cnf('0.19.0.0',plain,
% 0.58/0.98 ( identity = greatest_lower_bound(X1,identity) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.17.2.0','0.15.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.19.1.0',plain,
% 0.58/0.98 ( identity = greatest_lower_bound(X1,identity) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/0.98 [weight('<19,17,15,[1,0,0,0]>')]).
% 0.58/0.98 cnf('0.19.2.0',plain,
% 0.58/0.98 ( greatest_lower_bound(X1,identity) = identity ),
% 0.58/0.98 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_17]).
% 0.58/0.98 cnf('0.22.0.0',plain,
% 0.58/0.98 ( greatest_lower_bound(multiply(identity,X1),multiply(X2,X1)) = multiply(identity,X1) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.11.2.0','0.17.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.1','L')]).
% 0.58/0.98 cnf('0.22.0.1',plain,
% 0.58/0.98 ( greatest_lower_bound(X1,multiply(X2,X1)) = multiply(identity,X1) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.22.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.1','L')]).
% 0.58/0.98 cnf('0.22.0.2',plain,
% 0.58/0.98 ( greatest_lower_bound(X1,multiply(X2,X1)) = X1 ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.22.0.1','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('0.22.1.0',plain,
% 0.58/0.98 ( greatest_lower_bound(X1,multiply(X2,X1)) = X1 ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.22.0.2']),
% 0.58/0.98 [weight('<41,17,11,[0,0,0,1]>')]).
% 0.58/0.98 cnf('0.22.2.0',plain,
% 0.58/0.98 ( greatest_lower_bound(X1,multiply(X2,X1)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_20]).
% 0.58/0.98 cnf('0.23.0.0',plain,
% 0.58/0.98 ( X1 = greatest_lower_bound(X1,identity) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.22.2.0','0.12.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.23.0.1',plain,
% 0.58/0.98 ( X1 = identity ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.23.0.0','0.19.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('0.23.1.0',plain,
% 0.58/0.98 ( X1 = identity ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.58/0.98 [weight('<8,22,12,[1,0,0,2]>')]).
% 0.58/0.98 cnf('0.23.2.0',plain,
% 0.58/0.98 ( X1 = identity ),
% 0.58/0.98 inference(activate,[status(thm)],['0.23.1.0']),
% 0.58/0.98 [equation_3]).
% 0.58/0.98 cnf('0.23.2.2',plain,
% 0.58/0.98 ( b = identity ),
% 0.58/0.98 inference(instl,[status(thm)],['0.23.2.0',theory(equality)])).
% 0.58/0.98 cnf('1.0.0.0',conjecture,
% 0.58/0.98 ( multiply(a,b) = multiply(b,a) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_23660_n019',conjecture_1)).
% 0.58/0.98 cnf('1.0.0.1',plain,
% 0.58/0.98 ( identity = multiply(b,a) ),
% 0.58/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.23.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('1.0.0.2',plain,
% 0.58/0.98 ( identity = identity ),
% 0.58/0.98 inference(reduction,[status(thm)],['1.0.0.1','0.23.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('1.0.0.3',plain,
% 0.58/0.98 ( $true ),
% 0.58/0.98 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.58/0.98 [conjecture_1]).
% 0.58/0.98
% 0.58/0.98 Proved Goals:
% 0.58/0.98 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: identity = identity
% 0.58/0.98 1 goal was specified, which was proved.
% 0.58/0.98 % SZS output end CNFRefutation
% 0.58/0.98 #END OF PROOF
% 0.58/0.98
% 0.58/0.98 Problem WALDMEISTER_23660_n019
% 0.58/0.98 CPs.gen 131
% 0.58/0.98 CPs.reexp 0
% 0.58/0.98 Select 24
% 0.58/0.98 R 20
% 0.58/0.98 E 3
% 0.58/0.98 vsize 6.5M
% 0.58/0.98 rss 3.7M
% 0.58/0.98 process.time 0.003s
% 0.58/0.98 wallclock.time 0.004s
% 0.58/0.98 status S
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Waldmeister states: Goal proved.
% 0.58/0.98 % SZS status Unsatisfiable
% 0.58/0.98
% 0.58/0.98 Problem WALDMEISTER_23660_n019
% 0.58/0.98 CPs.gen 0
% 0.58/0.98 CPs.reexp 0
% 0.58/0.98 Select 0
% 0.58/0.98 R 0
% 0.58/0.98 E 0
% 0.58/0.98 vsize 6.0M
% 0.58/0.98 rss 3.2M
% 0.58/0.98 process.time 0.001s
% 0.58/0.98 wallclock.time 0.003s
% 0.58/0.98 status S
%------------------------------------------------------------------------------