TSTP Solution File: GRP467-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n016.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 12:26:22 EDT 2022
% Result : Unsatisfiable 0.56s 0.97s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n016.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 02:26:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.95 * |/ | \/ | *
% 0.56/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.95 * A. Jaeger and B. Loechner | | *
% 0.56/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Goals:
% 0.56/0.95 ------
% 0.56/0.95
% 0.56/0.95 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.56/0.95
% 0.56/0.95 Detected structure: Orkus
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.97 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.56/0.97 goal joined
% 0.56/0.97 % SZS status Unsatisfiable
% 0.56/0.97 #START OF PROOF
% 0.56/0.97 % SZS output start CNFRefutation
% 0.56/0.97 cnf('0.1.0.0',axiom,
% 0.56/0.97 ( X1 = divide(divide(X2,X2),divide(X3,divide(divide(X1,divide(X4,X3)),inverse(X4)))) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_16561_n016')).
% 0.56/0.97 cnf('0.1.1.0',plain,
% 0.56/0.97 ( X1 = divide(divide(X2,X2),divide(X3,divide(divide(X1,divide(X4,X3)),inverse(X4)))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.1.2.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),divide(X2,divide(divide(X3,divide(X4,X2)),inverse(X4)))) = X3 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_1]).
% 0.56/0.97 cnf('0.2.0.0',axiom,
% 0.56/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_16561_n016')).
% 0.56/0.97 cnf('0.2.1.0',plain,
% 0.56/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.2.2.0',plain,
% 0.56/0.97 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_2]).
% 0.56/0.97 cnf('0.3.0.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),divide(X2,divide(divide(X3,divide(X4,X2)),inverse(X4)))) = X3 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.56/0.97 cnf('0.3.0.1',plain,
% 0.56/0.97 ( divide(divide(X1,X1),divide(X2,multiply(divide(X3,divide(X4,X2)),X4))) = X3 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.3.1.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),divide(X2,multiply(divide(X3,divide(X4,X2)),X4))) = X3 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.3.0.1']),
% 0.56/0.97 [weight('<209,1,2,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.3.2.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),divide(X2,multiply(divide(X3,divide(X4,X2)),X4))) = X3 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_3]).
% 0.56/0.97 cnf('0.5.0.0',plain,
% 0.56/0.97 ( X1 = divide(divide(X2,X2),divide(inverse(X3),multiply(divide(X1,multiply(X4,X3)),X4))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1.2','L')]).
% 0.56/0.97 cnf('0.5.1.0',plain,
% 0.56/0.97 ( X1 = divide(divide(X2,X2),divide(inverse(X3),multiply(divide(X1,multiply(X4,X3)),X4))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/0.97 [weight('<239,3,2,[1,0,0,9]>')]).
% 0.56/0.97 cnf('0.5.2.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),divide(inverse(X2),multiply(divide(X3,multiply(X4,X2)),X4))) = X3 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_5]).
% 0.56/0.97 cnf('0.7.0.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(divide(X2,X2),divide(multiply(divide(X3,divide(X4,X5)),X4),multiply(X3,X5))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1','L')]).
% 0.56/0.97 cnf('0.7.1.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(divide(X2,X2),divide(multiply(divide(X3,divide(X4,X5)),X4),multiply(X3,X5))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.97 [weight('<360,3,3,[0,0,0,7]>')]).
% 0.56/0.97 cnf('0.7.2.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(divide(X2,X2),divide(multiply(divide(X3,divide(X4,X5)),X4),multiply(X3,X5))) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.7.1.0']),
% 0.56/0.97 [equation_1]).
% 0.56/0.97 cnf('0.7.2.1',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(divide(b2,b2),divide(multiply(divide(b2,divide(b2,b2)),b2),multiply(b2,b2))) ),
% 0.56/0.97 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.7.2.2',plain,
% 0.56/0.97 ( divide(b2,b2) = divide(divide(X1,X1),divide(multiply(divide(X2,divide(X3,X4)),X3),multiply(X2,X4))) ),
% 0.56/0.97 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.8.0.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(X2,X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.7.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','R')]).
% 0.56/0.97 cnf('0.8.1.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(X2,X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.97 [weight('<48,7,7,[1,1,1,0]>')]).
% 0.56/0.97 cnf('0.8.2.0',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(X2,X2) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.8.1.0']),
% 0.56/0.97 [equation_2]).
% 0.56/0.97 cnf('0.8.2.1',plain,
% 0.56/0.97 ( divide(X1,X1) = divide(b2,b2) ),
% 0.56/0.97 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.8.2.2',plain,
% 0.56/0.97 ( divide(b2,b2) = divide(X1,X1) ),
% 0.56/0.97 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.9.0.0',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.9.1.0',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.56/0.97 [weight('<63,8,2,[1,0,0,0]>')]).
% 0.56/0.97 cnf('0.9.2.0',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.9.1.0']),
% 0.56/0.97 [equation_3]).
% 0.56/0.97 cnf('0.9.2.1',plain,
% 0.56/0.97 ( divide(X1,X1) = multiply(inverse(b2),b2) ),
% 0.56/0.97 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.9.2.2',plain,
% 0.56/0.97 ( divide(b2,b2) = multiply(inverse(X1),X1) ),
% 0.56/0.97 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.10.0.0',plain,
% 0.56/0.97 ( divide(X1,X2) = divide(divide(X3,X3),divide(X2,multiply(divide(X4,X4),X1))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.3.2.0','0.8.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1','L')]).
% 0.56/0.97 cnf('0.10.1.0',plain,
% 0.56/0.97 ( divide(X1,X2) = divide(divide(X3,X3),divide(X2,multiply(divide(X4,X4),X1))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.56/0.97 [weight('<179,8,3,[0,0,0,7]>')]).
% 0.56/0.97 cnf('0.10.2.0',plain,
% 0.56/0.97 ( divide(divide(X1,X1),divide(X2,multiply(divide(X3,X3),X4))) = divide(X4,X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_7]).
% 0.56/0.97 cnf('0.11.0.0',plain,
% 0.56/0.97 ( divide(X1,multiply(divide(X2,X2),X1)) = divide(X3,X3) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.10.2.0','0.8.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.11.1.0',plain,
% 0.56/0.97 ( divide(X1,multiply(divide(X2,X2),X1)) = divide(X3,X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.56/0.97 [weight('<120,10,8,[1,0,0,0]>')]).
% 0.56/0.97 cnf('0.11.2.0',plain,
% 0.56/0.97 ( divide(X1,multiply(divide(X2,X2),X1)) = divide(X3,X3) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.11.1.0']),
% 0.56/0.97 [equation_4]).
% 0.56/0.97 cnf('0.11.2.1',plain,
% 0.56/0.97 ( divide(X1,multiply(divide(X2,X2),X1)) = divide(b2,b2) ),
% 0.56/0.97 inference(instr,[status(thm)],['0.11.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.11.2.2',plain,
% 0.56/0.97 ( divide(b2,multiply(divide(b2,b2),b2)) = divide(X1,X1) ),
% 0.56/0.97 inference(instl,[status(thm)],['0.11.2.0',theory(equality)])).
% 0.56/0.97 cnf('0.12.0.0',plain,
% 0.56/0.97 ( X1 = divide(divide(X2,X2),divide(inverse(X1),multiply(divide(X3,X3),divide(X4,X4)))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.5.2.0','0.11.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1','L')]).
% 0.56/0.97 cnf('0.12.0.1',plain,
% 0.56/0.97 ( X1 = divide(divide(X4,X4),inverse(X1)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.12.0.0','0.10.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.12.0.2',plain,
% 0.56/0.97 ( X1 = multiply(divide(X4,X4),X1) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.12.0.1','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.12.1.0',plain,
% 0.56/0.97 ( X1 = multiply(divide(X4,X4),X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.12.0.2']),
% 0.56/0.97 [weight('<41,11,5,[0,0,0,8]>')]).
% 0.56/0.97 cnf('0.12.2.0',plain,
% 0.56/0.97 ( multiply(divide(X1,X1),X2) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_8]).
% 0.56/0.97 cnf('1.0.0.0',conjecture,
% 0.56/0.97 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.56/0.97 file('/tmp/WALDMEISTER_16561_n016',conjecture_1)).
% 0.56/0.97 cnf('1.0.0.1',plain,
% 0.56/0.97 ( multiply(divide(b2,b2),a2) = a2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.9.2.2',theory(equality)]),
% 0.56/0.97 [pos('L.1','R')]).
% 0.56/0.97 cnf('1.0.0.2',plain,
% 0.56/0.97 ( a2 = a2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.12.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.3',plain,
% 0.56/0.97 ( $true ),
% 0.56/0.97 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.56/0.97 [conjecture_1]).
% 0.56/0.97
% 0.56/0.97 Proved Goals:
% 0.56/0.97 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.56/0.97 1 goal was specified, which was proved.
% 0.56/0.97 % SZS output end CNFRefutation
% 0.56/0.97 #END OF PROOF
% 0.56/0.97
% 0.56/0.97 Problem WALDMEISTER_16561_n016
% 0.56/0.97 CPs.gen 137
% 0.56/0.97 CPs.reexp 0
% 0.56/0.97 Select 18
% 0.56/0.97 R 8
% 0.56/0.97 E 4
% 0.56/0.97 vsize 6.8M
% 0.56/0.97 rss 4.0M
% 0.56/0.97 process.time 0.022s
% 0.56/0.97 wallclock.time 0.022s
% 0.56/0.97 status S
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Waldmeister states: Goal proved.
% 0.56/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------