TSTP Solution File: BOO009-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 23:52:48 EDT 2022
% Result : Unsatisfiable 0.55s 0.97s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 1 15:54:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.55/0.97 ********************************************************************************
% 0.55/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.97 * |/ | \/ | *
% 0.55/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.97 * A. Jaeger and B. Loechner | | *
% 0.55/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.97 ********************************************************************************
% 0.55/0.97
% 0.55/0.97
% 0.55/0.97 Goals:
% 0.55/0.97 ------
% 0.55/0.97
% 0.55/0.97 ( 1) multiply(a,add(a,b)) ?=? a
% 0.55/0.97
% 0.55/0.97 Detected structure: BoolescheAlgebra
% 0.55/0.97 ********************************************************************************
% 0.55/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.97 ********************************************************************************
% 0.55/0.97
% 0.55/0.97 joined goal: 1 multiply(a,add(a,b)) ?= a to a
% 0.55/0.97 goal joined
% 0.55/0.97 % SZS status Unsatisfiable
% 0.55/0.97 #START OF PROOF
% 0.55/0.97 % SZS output start CNFRefutation
% 0.55/0.97 cnf('0.3.0.0',axiom,
% 0.55/0.97 ( X1 = add(X1,additive_identity) ),
% 0.55/0.97 file('/tmp/WALDMEISTER_26862_n020')).
% 0.55/0.97 cnf('0.3.1.0',plain,
% 0.55/0.97 ( X1 = add(X1,additive_identity) ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.55/0.97 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.55/0.97 cnf('0.3.2.0',plain,
% 0.55/0.97 ( add(X1,additive_identity) = X1 ),
% 0.55/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.55/0.97 [x,rule_3]).
% 0.55/0.97 cnf('0.4.0.0',axiom,
% 0.55/0.97 ( X1 = add(additive_identity,X1) ),
% 0.55/0.97 file('/tmp/WALDMEISTER_26862_n020')).
% 0.55/0.97 cnf('0.4.1.0',plain,
% 0.55/0.97 ( X1 = add(additive_identity,X1) ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.55/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.55/0.97 cnf('0.4.2.0',plain,
% 0.55/0.97 ( add(additive_identity,X1) = X1 ),
% 0.55/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.55/0.97 [x,rule_4]).
% 0.55/0.97 cnf('0.5.0.0',axiom,
% 0.55/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.55/0.97 file('/tmp/WALDMEISTER_26862_n020')).
% 0.55/0.97 cnf('0.5.1.0',plain,
% 0.55/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.55/0.97 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.55/0.97 cnf('0.5.2.0',plain,
% 0.55/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.55/0.97 inference(activate,[status(thm)],['0.5.1.0']),
% 0.55/0.97 [equation_1]).
% 0.55/0.97 cnf('0.6.0.0',axiom,
% 0.55/0.97 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.55/0.97 file('/tmp/WALDMEISTER_26862_n020')).
% 0.55/0.97 cnf('0.6.1.0',plain,
% 0.55/0.97 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.55/0.97 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.55/0.97 cnf('0.6.2.0',plain,
% 0.55/0.97 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.55/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.55/0.97 [x,rule_5]).
% 0.55/0.97 cnf('0.7.0.0',axiom,
% 0.55/0.97 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.55/0.97 file('/tmp/WALDMEISTER_26862_n020')).
% 0.55/0.97 cnf('0.7.1.0',plain,
% 0.55/0.97 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.55/0.97 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.55/0.97 cnf('0.7.2.0',plain,
% 0.55/0.97 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.55/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.55/0.97 [u,rule_6]).
% 0.55/0.97 cnf('0.10.0.0',axiom,
% 0.55/0.97 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.55/0.97 file('/tmp/WALDMEISTER_26862_n020')).
% 0.55/0.97 cnf('0.10.1.0',plain,
% 0.55/0.97 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.55/0.97 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.55/0.97 cnf('0.10.2.0',plain,
% 0.55/0.97 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.55/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.55/0.97 [u,rule_9]).
% 0.55/0.97 cnf('0.16.0.0',plain,
% 0.55/0.97 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.55/0.97 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.97 [pos('L.1','L')]).
% 0.55/0.97 cnf('0.16.1.0',plain,
% 0.55/0.97 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.55/0.97 [weight('<5,10,3,[1,0,0,1]>')]).
% 0.55/0.97 cnf('0.16.2.0',plain,
% 0.55/0.97 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.55/0.97 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.55/0.97 [x,rule_14]).
% 0.55/0.97 cnf('0.20.0.0',plain,
% 0.55/0.97 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.55/0.97 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.55/0.97 [pos('L.1','L')]).
% 0.55/0.97 cnf('0.20.0.1',plain,
% 0.55/0.97 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.55/0.97 inference(reduction,[status(thm)],['0.20.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.97 [pos('R','L')]).
% 0.55/0.97 cnf('0.20.1.0',plain,
% 0.55/0.97 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.55/0.97 [weight('<6,7,6,[0,0,0,1]>')]).
% 0.55/0.97 cnf('0.20.2.0',plain,
% 0.55/0.97 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.55/0.97 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.55/0.97 [u,rule_18]).
% 0.55/0.97 cnf('0.21.0.0',plain,
% 0.55/0.97 ( multiply(X1,additive_identity) = multiply(X1,inverse(X1)) ),
% 0.55/0.97 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.97 [pos('L.2','L')]).
% 0.55/0.97 cnf('0.21.0.1',plain,
% 0.55/0.97 ( multiply(X1,additive_identity) = additive_identity ),
% 0.55/0.97 inference(reduction,[status(thm)],['0.21.0.0','0.7.2.0',theory(equality)]),
% 0.55/0.97 [pos('R','L')]).
% 0.55/0.97 cnf('0.21.1.0',plain,
% 0.55/0.97 ( multiply(X1,additive_identity) = additive_identity ),
% 0.55/0.97 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.55/0.97 [weight('<3,20,3,[1,0,0,2]>')]).
% 0.55/0.97 cnf('0.21.2.0',plain,
% 0.55/0.97 ( multiply(X1,additive_identity) = additive_identity ),
% 0.55/0.97 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.55/0.97 [u,rule_19]).
% 0.55/0.97 cnf('1.0.0.0',conjecture,
% 0.55/0.97 ( multiply(a,add(a,b)) = a ),
% 0.55/0.97 file('/tmp/WALDMEISTER_26862_n020',conjecture_1)).
% 0.55/0.97 cnf('1.0.0.1',plain,
% 0.55/0.97 ( add(a,multiply(additive_identity,b)) = a ),
% 0.55/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.16.2.0',theory(equality)]),
% 0.55/0.97 [pos('L','L')]).
% 0.55/0.97 cnf('1.0.0.2',plain,
% 0.55/0.97 ( add(a,multiply(b,additive_identity)) = a ),
% 0.55/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.55/0.97 [pos('L.2','L')]).
% 0.55/0.97 cnf('1.0.0.3',plain,
% 0.55/0.97 ( add(a,additive_identity) = a ),
% 0.55/0.97 inference(reduction,[status(thm)],['1.0.0.2','0.21.2.0',theory(equality)]),
% 0.55/0.97 [pos('L.2','L')]).
% 0.55/0.97 cnf('1.0.0.4',plain,
% 0.55/0.97 ( a = a ),
% 0.55/0.97 inference(reduction,[status(thm)],['1.0.0.3','0.3.2.0',theory(equality)]),
% 0.55/0.97 [pos('L','L')]).
% 0.55/0.97 cnf('1.0.0.5',plain,
% 0.55/0.97 ( $true ),
% 0.55/0.97 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.55/0.97 [conjecture_1]).
% 0.55/0.97
% 0.55/0.97 Proved Goals:
% 0.55/0.97 No. 1: multiply(a,add(a,b)) ?= a joined, current: a = a
% 0.55/0.97 1 goal was specified, which was proved.
% 0.55/0.97 % SZS output end CNFRefutation
% 0.55/0.97 #END OF PROOF
% 0.55/0.97
% 0.55/0.97 Problem WALDMEISTER_26862_n020
% 0.55/0.97 CPs.gen 133
% 0.55/0.97 CPs.reexp 0
% 0.55/0.97 Select 31
% 0.55/0.97 R 19
% 0.55/0.97 E 2
% 0.55/0.97 vsize 6.5M
% 0.55/0.97 rss 3.8M
% 0.55/0.97 process.time 0.002s
% 0.55/0.97 wallclock.time 0.002s
% 0.55/0.97 status S
% 0.55/0.97
% 0.55/0.97
% 0.55/0.97 Waldmeister states: Goal proved.
% 0.55/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------