TSTP Solution File: GRP542-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.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 12:26:51 EDT 2022
% Result : Unsatisfiable 0.54s 0.94s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n009.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 08:01:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.94 ********************************************************************************
% 0.54/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.94 * |/ | \/ | *
% 0.54/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.94 * A. Jaeger and B. Loechner | | *
% 0.54/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.94 ********************************************************************************
% 0.54/0.94
% 0.54/0.94
% 0.54/0.94 Goals:
% 0.54/0.94 ------
% 0.54/0.94
% 0.54/0.94 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.54/0.94
% 0.54/0.94 Detected structure: Orkus
% 0.54/0.94 ********************************************************************************
% 0.54/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.94 ********************************************************************************
% 0.54/0.94
% 0.54/0.94 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.54/0.94 goal joined
% 0.54/0.94 % SZS status Unsatisfiable
% 0.54/0.94 #START OF PROOF
% 0.54/0.94 % SZS output start CNFRefutation
% 0.54/0.94 cnf('0.1.0.0',axiom,
% 0.54/0.94 ( X1 = divide(divide(identity,divide(divide(divide(X2,X1),X3),X2)),X3) ),
% 0.54/0.94 file('/tmp/WALDMEISTER_27134_n009')).
% 0.54/0.94 cnf('0.1.1.0',plain,
% 0.54/0.94 ( X1 = divide(divide(identity,divide(divide(divide(X2,X1),X3),X2)),X3) ),
% 0.54/0.94 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.54/0.94 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.54/0.94 cnf('0.1.2.0',plain,
% 0.54/0.94 ( divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2 ),
% 0.54/0.94 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.54/0.94 [x,rule_1]).
% 0.54/0.94 cnf('0.2.0.0',axiom,
% 0.54/0.94 ( divide(X1,X1) = identity ),
% 0.54/0.94 file('/tmp/WALDMEISTER_27134_n009')).
% 0.54/0.94 cnf('0.2.1.0',plain,
% 0.54/0.94 ( divide(X1,X1) = identity ),
% 0.54/0.94 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.54/0.94 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.54/0.94 cnf('0.2.2.0',plain,
% 0.54/0.94 ( divide(X1,X1) = identity ),
% 0.54/0.94 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.54/0.94 [u,rule_2]).
% 0.54/0.94 cnf('0.3.0.0',axiom,
% 0.54/0.94 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.54/0.94 file('/tmp/WALDMEISTER_27134_n009')).
% 0.54/0.94 cnf('0.3.1.0',plain,
% 0.54/0.94 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.54/0.94 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.54/0.94 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.54/0.94 cnf('0.3.2.0',plain,
% 0.54/0.94 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.54/0.94 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.54/0.94 [u,rule_3]).
% 0.54/0.94 cnf('0.4.0.0',axiom,
% 0.54/0.94 ( divide(identity,X1) = inverse(X1) ),
% 0.54/0.94 file('/tmp/WALDMEISTER_27134_n009')).
% 0.54/0.94 cnf('0.4.1.0',plain,
% 0.54/0.94 ( divide(identity,X1) = inverse(X1) ),
% 0.54/0.94 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.54/0.94 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.54/0.94 cnf('0.4.2.0',plain,
% 0.54/0.94 ( divide(identity,X1) = inverse(X1) ),
% 0.54/0.94 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.54/0.94 [u,rule_4]).
% 0.54/0.94 cnf('0.5.0.0',plain,
% 0.54/0.94 ( inverse(identity) = identity ),
% 0.54/0.94 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.54/0.94 [pos('L','L')]).
% 0.54/0.94 cnf('0.5.1.0',plain,
% 0.54/0.94 ( inverse(identity) = identity ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.54/0.95 [weight('<11,4,2,[1,0,0,0]>')]).
% 0.54/0.95 cnf('0.5.2.0',plain,
% 0.54/0.95 ( inverse(identity) = identity ),
% 0.54/0.95 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.54/0.95 [u,rule_5]).
% 0.54/0.95 cnf('0.6.0.0',plain,
% 0.54/0.95 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.54/0.95 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.54/0.95 cnf('0.6.0.1',plain,
% 0.54/0.95 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.54/0.95 inference(reduction,[status(thm)],['0.6.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.2','L')]).
% 0.54/0.95 cnf('0.6.1.0',plain,
% 0.54/0.95 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.54/0.95 [weight('<39,3,4,[0,0,0,0]>')]).
% 0.54/0.95 cnf('0.6.2.0',plain,
% 0.54/0.95 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.54/0.95 [u,rule_6]).
% 0.54/0.95 cnf('0.7.0.0',plain,
% 0.54/0.95 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.54/0.95 [pos('L','L')]).
% 0.54/0.95 cnf('0.7.1.0',plain,
% 0.54/0.95 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.54/0.95 [weight('<27,6,4,[1,0,0,0]>')]).
% 0.54/0.95 cnf('0.7.2.0',plain,
% 0.54/0.95 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_7]).
% 0.54/0.95 cnf('0.8.0.0',plain,
% 0.54/0.95 ( multiply(identity,identity) = inverse(identity) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.1','L')]).
% 0.54/0.95 cnf('0.8.0.1',plain,
% 0.54/0.95 ( multiply(identity,identity) = identity ),
% 0.54/0.95 inference(reduction,[status(thm)],['0.8.0.0','0.5.2.0',theory(equality)]),
% 0.54/0.95 [pos('R','L')]).
% 0.54/0.95 cnf('0.8.1.0',plain,
% 0.54/0.95 ( multiply(identity,identity) = identity ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.54/0.95 [weight('<19,7,5,[1,0,0,1]>')]).
% 0.54/0.95 cnf('0.8.2.0',plain,
% 0.54/0.95 ( multiply(identity,identity) = identity ),
% 0.54/0.95 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.54/0.95 [u,rule_8]).
% 0.54/0.95 cnf('0.10.0.0',plain,
% 0.54/0.95 ( multiply(inverse(X1),X1) = identity ),
% 0.54/0.95 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.54/0.95 [pos('L','L')]).
% 0.54/0.95 cnf('0.10.1.0',plain,
% 0.54/0.95 ( multiply(inverse(X1),X1) = identity ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.54/0.95 [weight('<29,6,2,[1,0,0,0]>')]).
% 0.54/0.95 cnf('0.10.2.0',plain,
% 0.54/0.95 ( multiply(inverse(X1),X1) = identity ),
% 0.54/0.95 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.54/0.95 [u,rule_10]).
% 0.54/0.95 cnf('0.15.0.0',plain,
% 0.54/0.95 ( divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2 ),
% 0.54/0.95 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.54/0.95 cnf('0.15.0.1',plain,
% 0.54/0.95 ( divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2 ),
% 0.54/0.95 inference(reduction,[status(thm)],['0.15.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.1','L')]).
% 0.54/0.95 cnf('0.15.1.0',plain,
% 0.54/0.95 ( divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2 ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.54/0.95 [weight('<131,1,4,[0,0,0,0]>')]).
% 0.54/0.95 cnf('0.15.2.0',plain,
% 0.54/0.95 ( divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2 ),
% 0.54/0.95 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.54/0.95 [u,rule_15]).
% 0.54/0.95 cnf('0.16.0.0',plain,
% 0.54/0.95 ( X1 = divide(inverse(divide(identity,X2)),divide(X2,X1)) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.1.1.1','L')]).
% 0.54/0.95 cnf('0.16.0.1',plain,
% 0.54/0.95 ( X1 = divide(inverse(inverse(X2)),divide(X2,X1)) ),
% 0.54/0.95 inference(reduction,[status(thm)],['0.16.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.95 [pos('R.1.1','L')]).
% 0.54/0.95 cnf('0.16.0.2',plain,
% 0.54/0.95 ( X1 = divide(multiply(identity,X2),divide(X2,X1)) ),
% 0.54/0.95 inference(reduction,[status(thm)],['0.16.0.1','0.7.2.0',theory(equality)]),
% 0.54/0.95 [pos('R.1','L')]).
% 0.54/0.95 cnf('0.16.1.0',plain,
% 0.54/0.95 ( X1 = divide(multiply(identity,X2),divide(X2,X1)) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.16.0.2']),
% 0.54/0.95 [weight('<71,15,2,[1,0,0,3]>')]).
% 0.54/0.95 cnf('0.16.2.0',plain,
% 0.54/0.95 ( divide(multiply(identity,X1),divide(X1,X2)) = X2 ),
% 0.54/0.95 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_16]).
% 0.54/0.95 cnf('0.17.0.0',plain,
% 0.54/0.95 ( X1 = divide(multiply(identity,identity),inverse(X1)) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.16.2.0','0.4.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.2','L')]).
% 0.54/0.95 cnf('0.17.0.1',plain,
% 0.54/0.95 ( X1 = multiply(multiply(identity,identity),X1) ),
% 0.54/0.95 inference(reduction,[status(thm)],['0.17.0.0','0.6.2.0',theory(equality)]),
% 0.54/0.95 [pos('R','L')]).
% 0.54/0.95 cnf('0.17.0.2',plain,
% 0.54/0.95 ( X1 = multiply(identity,X1) ),
% 0.54/0.95 inference(reduction,[status(thm)],['0.17.0.1','0.8.2.0',theory(equality)]),
% 0.54/0.95 [pos('R.1','L')]).
% 0.54/0.95 cnf('0.17.1.0',plain,
% 0.54/0.95 ( X1 = multiply(identity,X1) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.17.0.2']),
% 0.54/0.95 [weight('<19,16,4,[1,0,0,4]>')]).
% 0.54/0.95 cnf('0.17.2.0',plain,
% 0.54/0.95 ( multiply(identity,X1) = X1 ),
% 0.54/0.95 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_17]).
% 0.54/0.95 cnf('1.0.0.0',conjecture,
% 0.54/0.95 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.54/0.95 file('/tmp/WALDMEISTER_27134_n009',conjecture_1)).
% 0.54/0.95 cnf('1.0.0.1',plain,
% 0.54/0.95 ( multiply(identity,a2) = a2 ),
% 0.54/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.1','L')]).
% 0.54/0.95 cnf('1.0.0.2',plain,
% 0.54/0.95 ( a2 = a2 ),
% 0.54/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.17.2.0',theory(equality)]),
% 0.54/0.95 [pos('L','L')]).
% 0.54/0.95 cnf('1.0.0.3',plain,
% 0.54/0.95 ( $true ),
% 0.54/0.95 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.54/0.95 [conjecture_1]).
% 0.54/0.95
% 0.54/0.95 Proved Goals:
% 0.54/0.95 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.54/0.95 1 goal was specified, which was proved.
% 0.54/0.95 % SZS output end CNFRefutation
% 0.54/0.95 #END OF PROOF
% 0.54/0.95
% 0.54/0.95 Problem WALDMEISTER_27134_n009
% 0.54/0.95 CPs.gen 62
% 0.54/0.95 CPs.reexp 0
% 0.54/0.95 Select 19
% 0.54/0.95 R 17
% 0.54/0.95 E 0
% 0.54/0.95 vsize 6.5M
% 0.54/0.95 rss 3.8M
% 0.54/0.95 process.time 0.002s
% 0.54/0.95 wallclock.time 0.002s
% 0.54/0.95 status S
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Waldmeister states: Goal proved.
% 0.54/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------