TSTP Solution File: GRP558-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 12:26:54 EDT 2022
% Result : Unsatisfiable 0.62s 1.02s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 16:53:36 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.62/1.02 ********************************************************************************
% 0.62/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.02 * |/ | \/ | *
% 0.62/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.02 * A. Jaeger and B. Loechner | | *
% 0.62/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.02 ********************************************************************************
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Goals:
% 0.62/1.02 ------
% 0.62/1.02
% 0.62/1.02 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.62/1.02
% 0.62/1.02 Detected structure: Orkus
% 0.62/1.02 ********************************************************************************
% 0.62/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.02 ********************************************************************************
% 0.62/1.02
% 0.62/1.02 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.62/1.02 goal joined
% 0.62/1.02 % SZS status Unsatisfiable
% 0.62/1.02 #START OF PROOF
% 0.62/1.02 % SZS output start CNFRefutation
% 0.62/1.02 cnf('0.1.0.0',axiom,
% 0.62/1.02 ( X1 = divide(X2,inverse(divide(divide(X1,X3),divide(X2,X3)))) ),
% 0.62/1.02 file('/tmp/WALDMEISTER_11042_n023')).
% 0.62/1.02 cnf('0.1.1.0',plain,
% 0.62/1.02 ( X1 = divide(X2,inverse(divide(divide(X1,X3),divide(X2,X3)))) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.02 cnf('0.1.2.0',plain,
% 0.62/1.02 ( divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_1]).
% 0.62/1.02 cnf('0.2.0.0',axiom,
% 0.62/1.02 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.62/1.02 file('/tmp/WALDMEISTER_11042_n023')).
% 0.62/1.02 cnf('0.2.1.0',plain,
% 0.62/1.02 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.02 cnf('0.2.2.0',plain,
% 0.62/1.02 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.62/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.02 [u,rule_2]).
% 0.62/1.02 cnf('0.3.0.0',plain,
% 0.62/1.02 ( divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2 ),
% 0.62/1.02 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.62/1.02 cnf('0.3.0.1',plain,
% 0.62/1.02 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.62/1.02 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.02 [pos('L','L')]).
% 0.62/1.02 cnf('0.3.1.0',plain,
% 0.62/1.02 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.3.0.1']),
% 0.62/1.02 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.62/1.02 cnf('0.3.2.0',plain,
% 0.62/1.02 ( multiply(X1,divide(divide(X2,X3),divide(X1,X3))) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.02 [u,rule_3]).
% 0.62/1.02 cnf('0.4.0.0',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(multiply(X1,X3),divide(X2,inverse(X3)))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2.1','L')]).
% 0.62/1.02 cnf('0.4.0.1',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(multiply(X1,X3),multiply(X2,X3))) ),
% 0.62/1.02 inference(reduction,[status(thm)],['0.4.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.02 [pos('R.2.2','L')]).
% 0.62/1.02 cnf('0.4.1.0',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(multiply(X1,X3),multiply(X2,X3))) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.62/1.02 [weight('<109,3,2,[1,0,0,3]>')]).
% 0.62/1.02 cnf('0.4.2.0',plain,
% 0.62/1.02 ( multiply(X1,divide(multiply(X2,X3),multiply(X1,X3))) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_4]).
% 0.62/1.02 cnf('0.5.0.0',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(X3,multiply(X2,divide(divide(X3,X4),divide(X1,X4))))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2.1','L')]).
% 0.62/1.02 cnf('0.5.1.0',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(X3,multiply(X2,divide(divide(X3,X4),divide(X1,X4))))) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.02 [weight('<209,4,3,[1,0,0,3]>')]).
% 0.62/1.02 cnf('0.5.2.0',plain,
% 0.62/1.02 ( multiply(X1,divide(X2,multiply(X1,divide(divide(X2,X3),divide(X4,X3))))) = X4 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_5]).
% 0.62/1.02 cnf('0.6.0.0',plain,
% 0.62/1.02 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2.2','L')]).
% 0.62/1.02 cnf('0.6.1.0',plain,
% 0.62/1.02 ( X1 = multiply(X1,divide(X2,X2)) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.02 [weight('<41,5,3,[1,0,0,4]>')]).
% 0.62/1.02 cnf('0.6.2.0',plain,
% 0.62/1.02 ( multiply(X1,divide(X2,X2)) = X1 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_6]).
% 0.62/1.02 cnf('0.7.0.0',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(X1,multiply(X2,divide(X3,X3)))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2.1','L')]).
% 0.62/1.02 cnf('0.7.0.1',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.62/1.02 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.62/1.02 [pos('R.2.2','L')]).
% 0.62/1.02 cnf('0.7.1.0',plain,
% 0.62/1.02 ( X1 = multiply(X2,divide(X1,X2)) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.62/1.02 [weight('<41,6,4,[0,0,0,3]>')]).
% 0.62/1.02 cnf('0.7.2.0',plain,
% 0.62/1.02 ( multiply(X1,divide(X2,X1)) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_7]).
% 0.62/1.02 cnf('0.9.0.0',plain,
% 0.62/1.02 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2','L')]).
% 0.62/1.02 cnf('0.9.1.0',plain,
% 0.62/1.02 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.02 [weight('<55,7,2,[1,0,0,2]>')]).
% 0.62/1.02 cnf('0.9.2.0',plain,
% 0.62/1.02 ( multiply(inverse(X1),multiply(X2,X1)) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_9]).
% 0.62/1.02 cnf('0.11.0.0',plain,
% 0.62/1.02 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2','L')]).
% 0.62/1.02 cnf('0.11.1.0',plain,
% 0.62/1.02 ( X1 = multiply(inverse(divide(X2,X2)),X1) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.62/1.02 [weight('<55,9,6,[1,0,0,3]>')]).
% 0.62/1.02 cnf('0.11.2.0',plain,
% 0.62/1.02 ( multiply(inverse(divide(X1,X1)),X2) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_11]).
% 0.62/1.02 cnf('0.12.0.0',plain,
% 0.62/1.02 ( X1 = multiply(inverse(divide(X2,X2)),divide(multiply(X1,X3),X3)) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.4.2.0','0.11.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2.2','L')]).
% 0.62/1.02 cnf('0.12.0.1',plain,
% 0.62/1.02 ( X1 = divide(multiply(X1,X3),X3) ),
% 0.62/1.02 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 0.62/1.02 [pos('R','L')]).
% 0.62/1.02 cnf('0.12.1.0',plain,
% 0.62/1.02 ( X1 = divide(multiply(X1,X3),X3) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.62/1.02 [weight('<41,11,4,[0,0,0,6]>')]).
% 0.62/1.02 cnf('0.12.2.0',plain,
% 0.62/1.02 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_12]).
% 0.62/1.02 cnf('0.13.0.0',plain,
% 0.62/1.02 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.1','L')]).
% 0.62/1.02 cnf('0.13.1.0',plain,
% 0.62/1.02 ( X1 = divide(X1,divide(X2,X2)) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.62/1.02 [weight('<41,12,6,[1,0,0,1]>')]).
% 0.62/1.02 cnf('0.13.2.0',plain,
% 0.62/1.02 ( divide(X1,divide(X2,X2)) = X1 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_13]).
% 0.62/1.02 cnf('0.14.0.0',plain,
% 0.62/1.02 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.12.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.1','L')]).
% 0.62/1.02 cnf('0.14.1.0',plain,
% 0.62/1.02 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.62/1.02 [weight('<41,12,7,[1,0,0,1]>')]).
% 0.62/1.02 cnf('0.14.2.0',plain,
% 0.62/1.02 ( divide(X1,divide(X1,X2)) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_14]).
% 0.62/1.02 cnf('0.15.0.0',plain,
% 0.62/1.02 ( X1 = multiply(divide(X2,X2),X1) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.7.2.0','0.13.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2','L')]).
% 0.62/1.02 cnf('0.15.1.0',plain,
% 0.62/1.02 ( X1 = multiply(divide(X2,X2),X1) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.62/1.02 [weight('<41,13,7,[0,0,0,2]>')]).
% 0.62/1.02 cnf('0.15.2.0',plain,
% 0.62/1.02 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_15]).
% 0.62/1.02 cnf('0.16.0.0',plain,
% 0.62/1.02 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.3.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2','L')]).
% 0.62/1.02 cnf('0.16.1.0',plain,
% 0.62/1.02 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.62/1.02 [weight('<41,14,3,[0,0,0,2]>')]).
% 0.62/1.02 cnf('0.16.2.0',plain,
% 0.62/1.02 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_16]).
% 0.62/1.02 cnf('0.17.0.0',plain,
% 0.62/1.02 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.9.2.0','0.16.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.2','L')]).
% 0.62/1.02 cnf('0.17.1.0',plain,
% 0.62/1.02 ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.62/1.02 [weight('<39,16,9,[0,0,0,3]>')]).
% 0.62/1.02 cnf('0.17.2.0',plain,
% 0.62/1.02 ( multiply(inverse(X1),X2) = divide(X2,X1) ),
% 0.62/1.02 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_17]).
% 0.62/1.02 cnf('1.0.0.0',conjecture,
% 0.62/1.02 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.62/1.02 file('/tmp/WALDMEISTER_11042_n023',conjecture_1)).
% 0.62/1.02 cnf('1.0.0.1',plain,
% 0.62/1.02 ( multiply(divide(b2,b2),a2) = a2 ),
% 0.62/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.17.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.1','L')]).
% 0.62/1.02 cnf('1.0.0.2',plain,
% 0.62/1.02 ( a2 = a2 ),
% 0.62/1.02 inference(reduction,[status(thm)],['1.0.0.1','0.15.2.0',theory(equality)]),
% 0.62/1.02 [pos('L','L')]).
% 0.62/1.02 cnf('1.0.0.3',plain,
% 0.62/1.02 ( $true ),
% 0.62/1.02 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.62/1.02 [conjecture_1]).
% 0.62/1.02
% 0.62/1.02 Proved Goals:
% 0.62/1.02 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.62/1.02 1 goal was specified, which was proved.
% 0.62/1.02 % SZS output end CNFRefutation
% 0.62/1.02 #END OF PROOF
% 0.62/1.02
% 0.62/1.02 Problem WALDMEISTER_11042_n023
% 0.62/1.02 CPs.gen 124
% 0.62/1.02 CPs.reexp 0
% 0.62/1.02 Select 21
% 0.62/1.02 R 17
% 0.62/1.02 E 0
% 0.62/1.02 vsize 6.4M
% 0.62/1.02 rss 3.8M
% 0.62/1.02 process.time 0.002s
% 0.62/1.02 wallclock.time 0.002s
% 0.62/1.02 status S
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Waldmeister states: Goal proved.
% 0.62/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------