%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 23:52:45 EDT 2022
% Result : Unsatisfiable 0.63s 1.05s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 20:14:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.63/1.04 ********************************************************************************
% 0.63/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/1.04 * |/ | \/ | *
% 0.63/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/1.04 * A. Jaeger and B. Loechner | | *
% 0.63/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/1.04 ********************************************************************************
% 0.63/1.04
% 0.63/1.05
% 0.63/1.05 Goals:
% 0.63/1.05 ------
% 0.63/1.05
% 0.63/1.05 ( 1) inverse(inverse(a)) ?=? a
% 0.63/1.05
% 0.63/1.05 Detected structure: TernaereBoolescheAlgebra
% 0.63/1.05 ********************************************************************************
% 0.63/1.05 ****************************** COMPLETION - PROOF ******************************
% 0.63/1.05 ********************************************************************************
% 0.63/1.05
% 0.63/1.05 joined goal: 1 inverse(inverse(a)) ?= a to a
% 0.63/1.05 goal joined
% 0.63/1.05 % SZS status Unsatisfiable
% 0.63/1.05 #START OF PROOF
% 0.63/1.05 % SZS output start CNFRefutation
% 0.63/1.05 cnf('0.1.0.0',axiom,
% 0.63/1.05 ( X1 = multiply(X2,X1,X1) ),
% 0.63/1.05 file('/tmp/WALDMEISTER_13568_n025')).
% 0.63/1.05 cnf('0.1.1.0',plain,
% 0.63/1.05 ( X1 = multiply(X2,X1,X1) ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.05 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.05 cnf('0.1.2.0',plain,
% 0.63/1.05 ( multiply(X1,X2,X2) = X2 ),
% 0.63/1.05 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.05 [x,rule_1]).
% 0.63/1.05 cnf('0.2.0.0',axiom,
% 0.63/1.05 ( X1 = multiply(X1,X2,inverse(X2)) ),
% 0.63/1.05 file('/tmp/WALDMEISTER_13568_n025')).
% 0.63/1.05 cnf('0.2.1.0',plain,
% 0.63/1.05 ( X1 = multiply(X1,X2,inverse(X2)) ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.05 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.05 cnf('0.2.2.0',plain,
% 0.63/1.05 ( multiply(X1,X2,inverse(X2)) = X1 ),
% 0.63/1.05 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.63/1.05 [x,rule_2]).
% 0.63/1.05 cnf('0.3.0.0',axiom,
% 0.63/1.05 ( X1 = multiply(X1,X1,X2) ),
% 0.63/1.05 file('/tmp/WALDMEISTER_13568_n025')).
% 0.63/1.05 cnf('0.3.1.0',plain,
% 0.63/1.05 ( X1 = multiply(X1,X1,X2) ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.05 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.63/1.05 cnf('0.3.2.0',plain,
% 0.63/1.05 ( multiply(X1,X1,X2) = X1 ),
% 0.63/1.05 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.63/1.05 [x,rule_3]).
% 0.63/1.05 cnf('0.4.0.0',axiom,
% 0.63/1.05 ( X1 = multiply(inverse(X2),X2,X1) ),
% 0.63/1.05 file('/tmp/WALDMEISTER_13568_n025')).
% 0.63/1.05 cnf('0.4.1.0',plain,
% 0.63/1.05 ( X1 = multiply(inverse(X2),X2,X1) ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.05 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.63/1.05 cnf('0.4.2.0',plain,
% 0.63/1.05 ( multiply(inverse(X1),X1,X2) = X2 ),
% 0.63/1.05 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.05 [x,rule_4]).
% 0.63/1.05 cnf('0.5.0.0',axiom,
% 0.63/1.05 ( multiply(X1,X2,multiply(X3,X4,X5)) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) ),
% 0.63/1.05 file('/tmp/WALDMEISTER_13568_n025')).
% 0.63/1.05 cnf('0.5.1.0',plain,
% 0.63/1.05 ( multiply(X1,X2,multiply(X3,X4,X5)) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.05 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.63/1.05 cnf('0.5.2.0',plain,
% 0.63/1.05 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)) ),
% 0.63/1.05 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.05 [x,rule_5]).
% 0.63/1.05 cnf('0.7.0.0',plain,
% 0.63/1.05 ( multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2) ),
% 0.63/1.05 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.05 [pos('L.3','L')]).
% 0.63/1.05 cnf('0.7.1.0',plain,
% 0.63/1.05 ( multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2) ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.05 [weight('<7,5,1,[1,0,0,6]>')]).
% 0.63/1.05 cnf('0.7.2.0',plain,
% 0.63/1.05 ( multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)) ),
% 0.63/1.05 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.63/1.05 [x,rule_7]).
% 0.63/1.05 cnf('0.11.0.0',plain,
% 0.63/1.05 ( multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2) ),
% 0.63/1.05 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.05 [pos('L.1','L')]).
% 0.63/1.05 cnf('0.11.1.0',plain,
% 0.63/1.05 ( multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2) ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.63/1.05 [weight('<8,7,2,[1,0,0,1]>')]).
% 0.63/1.05 cnf('0.11.2.0',plain,
% 0.63/1.05 ( multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2) ),
% 0.63/1.05 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.63/1.05 [u,rule_11]).
% 0.63/1.05 cnf('0.12.0.0',plain,
% 0.63/1.05 ( multiply(X1,inverse(X2),X2) = multiply(X1,X2,inverse(X2)) ),
% 0.63/1.05 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.05 [pos('L.3','L')]).
% 0.63/1.05 cnf('0.12.0.1',plain,
% 0.63/1.05 ( multiply(X1,inverse(X2),X2) = X1 ),
% 0.63/1.05 inference(reduction,[status(thm)],['0.12.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.05 [pos('R','L')]).
% 0.63/1.05 cnf('0.12.1.0',plain,
% 0.63/1.05 ( multiply(X1,inverse(X2),X2) = X1 ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.63/1.05 [weight('<5,11,3,[1,0,0,3]>')]).
% 0.63/1.05 cnf('0.12.2.0',plain,
% 0.63/1.05 ( multiply(X1,inverse(X2),X2) = X1 ),
% 0.63/1.05 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.63/1.05 [u,rule_12]).
% 0.63/1.05 cnf('0.13.0.0',plain,
% 0.63/1.05 ( inverse(inverse(X1)) = X1 ),
% 0.63/1.05 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.05 [pos('L','L')]).
% 0.63/1.05 cnf('0.13.1.0',plain,
% 0.63/1.05 ( inverse(inverse(X1)) = X1 ),
% 0.63/1.05 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.63/1.05 [weight('<3,12,4,[1,0,0,0]>')]).
% 0.63/1.05 cnf('0.13.2.0',plain,
% 0.63/1.05 ( inverse(inverse(X1)) = X1 ),
% 0.63/1.05 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.63/1.05 [u,rule_13]).
% 0.63/1.05 cnf('1.0.0.0',conjecture,
% 0.63/1.05 ( inverse(inverse(a)) = a ),
% 0.63/1.05 file('/tmp/WALDMEISTER_13568_n025',conjecture_1)).
% 0.63/1.05 cnf('1.0.0.1',plain,
% 0.63/1.05 ( a = a ),
% 0.63/1.05 inference(reduction,[status(thm)],['1.0.0.0','0.13.2.0',theory(equality)]),
% 0.63/1.05 [pos('L','L')]).
% 0.63/1.05 cnf('1.0.0.2',plain,
% 0.63/1.05 ( $true ),
% 0.63/1.05 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.63/1.05 [conjecture_1]).
% 0.63/1.05
% 0.63/1.05 Proved Goals:
% 0.63/1.05 No. 1: inverse(inverse(a)) ?= a joined, current: a = a
% 0.63/1.05 1 goal was specified, which was proved.
% 0.63/1.05 % SZS output end CNFRefutation
% 0.63/1.05 #END OF PROOF
% 0.63/1.05
% 0.63/1.05 Problem WALDMEISTER_13568_n025
% 0.63/1.05 CPs.gen 115
% 0.63/1.05 CPs.reexp 0
% 0.63/1.05 Select 14
% 0.63/1.05 R 13
% 0.63/1.05 E 0
% 0.63/1.05 vsize 6.4M
% 0.63/1.05 rss 3.5M
% 0.63/1.05 process.time 0.002s
% 0.63/1.05 wallclock.time 0.002s
% 0.63/1.05 status S
% 0.63/1.05
% 0.63/1.05
% 0.63/1.05 Waldmeister states: Goal proved.
% 0.63/1.05 % SZS status Unsatisfiable
%------------------------------------------------------------------------------