TSTP Solution File: GRP522-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 12:26:46 EDT 2022
% Result : Unsatisfiable 0.55s 0.95s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n012.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 07:54:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.95 * |/ | \/ | *
% 0.55/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.95 * A. Jaeger and B. Loechner | | *
% 0.55/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Goals:
% 0.55/0.95 ------
% 0.55/0.95
% 0.55/0.95 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.55/0.95
% 0.55/0.95 Detected structure: Orkus
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.55/0.95 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.55/0.95 goal joined
% 0.55/0.95 % SZS status Unsatisfiable
% 0.55/0.95 #START OF PROOF
% 0.55/0.95 % SZS output start CNFRefutation
% 0.55/0.95 cnf('0.1.0.0',axiom,
% 0.55/0.95 ( X1 = divide(X2,divide(X3,divide(X1,divide(X2,X3)))) ),
% 0.55/0.95 file('/tmp/WALDMEISTER_6258_n012')).
% 0.55/0.95 cnf('0.1.1.0',plain,
% 0.55/0.95 ( X1 = divide(X2,divide(X3,divide(X1,divide(X2,X3)))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.55/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.1.2.0',plain,
% 0.55/0.95 ( divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_1]).
% 0.55/0.95 cnf('0.2.0.0',axiom,
% 0.55/0.95 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.95 file('/tmp/WALDMEISTER_6258_n012')).
% 0.55/0.95 cnf('0.2.1.0',plain,
% 0.55/0.95 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.55/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.55/0.95 cnf('0.2.2.0',plain,
% 0.55/0.95 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_2]).
% 0.55/0.95 cnf('0.3.0.0',axiom,
% 0.55/0.95 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.55/0.95 file('/tmp/WALDMEISTER_6258_n012')).
% 0.55/0.95 cnf('0.3.1.0',plain,
% 0.55/0.95 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.55/0.95 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.55/0.95 cnf('0.3.2.0',plain,
% 0.55/0.95 ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_3]).
% 0.55/0.95 cnf('0.4.0.0',plain,
% 0.55/0.95 ( divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3) ),
% 0.55/0.95 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.55/0.95 cnf('0.4.0.1',plain,
% 0.55/0.95 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.2','L')]).
% 0.55/0.95 cnf('0.4.1.0',plain,
% 0.55/0.95 ( divide(X1,inverse(X3)) = multiply(X1,X3) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.55/0.95 [weight('<39,2,3,[0,0,0,0]>')]).
% 0.55/0.95 cnf('0.4.2.0',plain,
% 0.55/0.95 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_4]).
% 0.55/0.95 cnf('0.5.0.0',plain,
% 0.55/0.95 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.5.1.0',plain,
% 0.55/0.95 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.55/0.95 [weight('<53,4,3,[1,0,0,0]>')]).
% 0.55/0.95 cnf('0.5.2.0',plain,
% 0.55/0.95 ( multiply(divide(X1,X1),X2) = inverse(inverse(X2)) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_5]).
% 0.55/0.95 cnf('0.6.0.0',plain,
% 0.55/0.95 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.6.1.0',plain,
% 0.55/0.95 ( inverse(X1) = divide(inverse(divide(X2,X2)),X1) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.55/0.95 [weight('<62,3,3,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.6.2.0',plain,
% 0.55/0.95 ( divide(inverse(divide(X1,X1)),X2) = inverse(X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_6]).
% 0.55/0.95 cnf('0.7.0.0',plain,
% 0.55/0.95 ( X1 = divide(inverse(divide(X2,X2)),divide(X3,divide(X1,inverse(X3)))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.2.2.2','L')]).
% 0.55/0.95 cnf('0.7.0.1',plain,
% 0.55/0.95 ( X1 = inverse(divide(X3,divide(X1,inverse(X3)))) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.55/0.95 [pos('R','L')]).
% 0.55/0.95 cnf('0.7.0.2',plain,
% 0.55/0.95 ( X1 = inverse(divide(X3,multiply(X1,X3))) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.7.0.1','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('R.1.2','L')]).
% 0.55/0.95 cnf('0.7.1.0',plain,
% 0.55/0.95 ( X1 = inverse(divide(X3,multiply(X1,X3))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.7.0.2']),
% 0.55/0.95 [weight('<55,6,1,[0,0,0,6]>')]).
% 0.55/0.95 cnf('0.7.2.0',plain,
% 0.55/0.95 ( inverse(divide(X1,multiply(X2,X1))) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_7]).
% 0.55/0.95 cnf('0.10.0.0',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = multiply(multiply(inverse(X2),X2),X1) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.10.1.0',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = multiply(multiply(inverse(X2),X2),X1) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.55/0.95 [weight('<69,5,4,[1,0,0,1]>')]).
% 0.55/0.95 cnf('0.10.2.0',plain,
% 0.55/0.95 ( multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_10]).
% 0.55/0.95 cnf('0.11.0.0',plain,
% 0.55/0.95 ( X1 = inverse(inverse(multiply(X1,divide(X2,X2)))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.11.1.0',plain,
% 0.55/0.95 ( X1 = inverse(inverse(multiply(X1,divide(X2,X2)))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.55/0.95 [weight('<71,7,3,[1,0,0,1]>')]).
% 0.55/0.95 cnf('0.11.2.0',plain,
% 0.55/0.95 ( inverse(inverse(multiply(X1,divide(X2,X2)))) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_11]).
% 0.55/0.95 cnf('0.14.0.0',plain,
% 0.55/0.95 ( divide(X1,X1) = inverse(divide(X2,inverse(inverse(X2)))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.2','L')]).
% 0.55/0.95 cnf('0.14.0.1',plain,
% 0.55/0.95 ( divide(X1,X1) = inverse(multiply(X2,inverse(X2))) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.14.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('R.1','L')]).
% 0.55/0.95 cnf('0.14.1.0',plain,
% 0.55/0.95 ( divide(X1,X1) = inverse(multiply(X2,inverse(X2))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.55/0.95 [weight('<80,7,5,[1,0,0,3]>')]).
% 0.55/0.95 cnf('0.14.2.0',plain,
% 0.55/0.95 ( divide(X1,X1) = inverse(multiply(X2,inverse(X2))) ),
% 0.55/0.95 inference(activate,[status(thm)],['0.14.1.0']),
% 0.55/0.95 [equation_1]).
% 0.55/0.95 cnf('0.14.2.1',plain,
% 0.55/0.95 ( divide(X1,X1) = inverse(multiply(b2,inverse(b2))) ),
% 0.55/0.95 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.14.2.2',plain,
% 0.55/0.95 ( divide(b2,b2) = inverse(multiply(X1,inverse(X1))) ),
% 0.55/0.95 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.15.0.0',plain,
% 0.55/0.95 ( divide(X1,X1) = divide(X2,X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.14.2.0','0.14.2.0',theory(equality)]),
% 0.55/0.95 [pos('R','R')]).
% 0.55/0.95 cnf('0.15.1.0',plain,
% 0.55/0.95 ( divide(X1,X1) = divide(X2,X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.55/0.95 [weight('<48,14,14,[1,1,1,0]>')]).
% 0.55/0.95 cnf('0.15.2.0',plain,
% 0.55/0.95 ( divide(X1,X1) = divide(X2,X2) ),
% 0.55/0.95 inference(activate,[status(thm)],['0.15.1.0']),
% 0.55/0.95 [equation_2]).
% 0.55/0.95 cnf('0.15.2.1',plain,
% 0.55/0.95 ( divide(X1,X1) = divide(b2,b2) ),
% 0.55/0.95 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.15.2.2',plain,
% 0.55/0.95 ( divide(b2,b2) = divide(X1,X1) ),
% 0.55/0.95 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.17.0.0',plain,
% 0.55/0.95 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.15.2.0','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.17.1.0',plain,
% 0.55/0.95 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.55/0.95 [weight('<63,15,4,[1,0,0,0]>')]).
% 0.55/0.95 cnf('0.17.2.0',plain,
% 0.55/0.95 ( divide(X1,X1) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(activate,[status(thm)],['0.17.1.0']),
% 0.55/0.95 [equation_4]).
% 0.55/0.95 cnf('0.17.2.1',plain,
% 0.55/0.95 ( divide(X1,X1) = multiply(inverse(b2),b2) ),
% 0.55/0.95 inference(instr,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.17.2.2',plain,
% 0.55/0.95 ( divide(b2,b2) = multiply(inverse(X1),X1) ),
% 0.55/0.95 inference(instl,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.18.0.0',plain,
% 0.55/0.95 ( inverse(X1) = inverse(divide(X1,divide(X2,X2))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.7.2.0','0.17.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.2','R')]).
% 0.55/0.95 cnf('0.18.1.0',plain,
% 0.55/0.95 ( inverse(X1) = inverse(divide(X1,divide(X2,X2))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.55/0.95 [weight('<62,17,7,[0,1,0,3]>')]).
% 0.55/0.95 cnf('0.18.2.0',plain,
% 0.55/0.95 ( inverse(divide(X1,divide(X2,X2))) = inverse(X1) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_14]).
% 0.55/0.95 cnf('0.19.0.0',plain,
% 0.55/0.95 ( inverse(X1) = inverse(divide(X1,inverse(divide(X2,X2)))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.18.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.2','L')]).
% 0.55/0.95 cnf('0.19.0.1',plain,
% 0.55/0.95 ( inverse(X1) = inverse(multiply(X1,divide(X2,X2))) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.19.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('R.1','L')]).
% 0.55/0.95 cnf('0.19.1.0',plain,
% 0.55/0.95 ( inverse(X1) = inverse(multiply(X1,divide(X2,X2))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.55/0.95 [weight('<62,18,3,[1,0,0,3]>')]).
% 0.55/0.95 cnf('0.19.2.0',plain,
% 0.55/0.95 ( inverse(multiply(X1,divide(X2,X2))) = inverse(X1) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_15]).
% 0.55/0.95 cnf('0.20.0.0',plain,
% 0.55/0.95 ( inverse(inverse(multiply(X1,divide(X2,X2)))) = X1 ),
% 0.55/0.95 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.55/0.95 cnf('0.20.0.1',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = X1 ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.20.0.0','0.19.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.20.1.0',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = X1 ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.55/0.95 [weight('<19,11,19,[0,0,0,0]>')]).
% 0.55/0.95 cnf('0.20.2.0',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_16]).
% 0.55/0.95 cnf('1.0.0.0',conjecture,
% 0.55/0.95 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.55/0.95 file('/tmp/WALDMEISTER_6258_n012',conjecture_1)).
% 0.55/0.95 cnf('1.0.0.1',plain,
% 0.55/0.95 ( inverse(inverse(a2)) = a2 ),
% 0.55/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('1.0.0.2',plain,
% 0.55/0.95 ( a2 = a2 ),
% 0.55/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.20.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('1.0.0.3',plain,
% 0.55/0.95 ( $true ),
% 0.55/0.95 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.55/0.95 [conjecture_1]).
% 0.55/0.95
% 0.55/0.95 Proved Goals:
% 0.55/0.95 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.55/0.95 1 goal was specified, which was proved.
% 0.55/0.95 % SZS output end CNFRefutation
% 0.55/0.95 #END OF PROOF
% 0.55/0.95
% 0.55/0.95 Problem WALDMEISTER_6258_n012
% 0.55/0.95 CPs.gen 205
% 0.55/0.95 CPs.reexp 0
% 0.55/0.95 Select 35
% 0.55/0.95 R 16
% 0.55/0.95 E 4
% 0.55/0.95 vsize 6.4M
% 0.55/0.95 rss 3.8M
% 0.55/0.95 process.time 0.003s
% 0.55/0.95 wallclock.time 0.003s
% 0.55/0.95 status S
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Waldmeister states: Goal proved.
% 0.55/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------