TSTP Solution File: BOO009-4 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 0.50s 0.92s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n018.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 : Wed Jun 1 23:49:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.50/0.92 ********************************************************************************
% 0.50/0.92 * W A L D M E I S T E R \| \ / \|/ *
% 0.50/0.92 * |/ | \/ | *
% 0.50/0.92 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.50/0.92 * A. Jaeger and B. Loechner | | *
% 0.50/0.92 * <waldmeister@informatik.uni-kl.de> | *
% 0.50/0.92 ********************************************************************************
% 0.50/0.92
% 0.50/0.92
% 0.50/0.92 Goals:
% 0.50/0.92 ------
% 0.50/0.92
% 0.50/0.92 ( 1) multiply(a,add(a,b)) ?=? a
% 0.50/0.92
% 0.50/0.92 Detected structure: BoolescheAlgebra
% 0.50/0.92 ********************************************************************************
% 0.50/0.92 ****************************** COMPLETION - PROOF ******************************
% 0.50/0.92 ********************************************************************************
% 0.50/0.92
% 0.50/0.92 joined goal: 1 multiply(a,add(a,b)) ?= a to a
% 0.50/0.92 goal joined
% 0.50/0.92 % SZS status Unsatisfiable
% 0.50/0.92 #START OF PROOF
% 0.50/0.92 % SZS output start CNFRefutation
% 0.50/0.92 cnf('0.2.0.0',axiom,
% 0.50/0.92 ( X1 = add(X1,additive_identity) ),
% 0.50/0.92 file('/tmp/WALDMEISTER_23240_n018')).
% 0.50/0.92 cnf('0.2.1.0',plain,
% 0.50/0.92 ( X1 = add(X1,additive_identity) ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.50/0.92 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.50/0.92 cnf('0.2.2.0',plain,
% 0.50/0.92 ( add(X1,additive_identity) = X1 ),
% 0.50/0.92 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.50/0.92 [x,rule_2]).
% 0.50/0.92 cnf('0.3.0.0',axiom,
% 0.50/0.92 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.50/0.92 file('/tmp/WALDMEISTER_23240_n018')).
% 0.50/0.92 cnf('0.3.1.0',plain,
% 0.50/0.92 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.50/0.92 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.50/0.92 cnf('0.3.2.0',plain,
% 0.50/0.92 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.50/0.92 inference(activate,[status(thm)],['0.3.1.0']),
% 0.50/0.92 [equation_1]).
% 0.50/0.92 cnf('0.4.0.0',axiom,
% 0.50/0.92 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.50/0.92 file('/tmp/WALDMEISTER_23240_n018')).
% 0.50/0.92 cnf('0.4.1.0',plain,
% 0.50/0.92 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.50/0.92 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.50/0.92 cnf('0.4.2.0',plain,
% 0.50/0.92 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.50/0.92 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.50/0.92 [x,rule_3]).
% 0.50/0.92 cnf('0.5.0.0',axiom,
% 0.50/0.92 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.50/0.92 file('/tmp/WALDMEISTER_23240_n018')).
% 0.50/0.92 cnf('0.5.1.0',plain,
% 0.50/0.92 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.50/0.92 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.50/0.92 cnf('0.5.2.0',plain,
% 0.50/0.92 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.50/0.92 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.50/0.92 [u,rule_4]).
% 0.50/0.92 cnf('0.6.0.0',axiom,
% 0.50/0.92 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.50/0.92 file('/tmp/WALDMEISTER_23240_n018')).
% 0.50/0.92 cnf('0.6.1.0',plain,
% 0.50/0.92 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.50/0.92 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.50/0.92 cnf('0.6.2.0',plain,
% 0.50/0.92 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.50/0.92 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.50/0.92 [u,rule_5]).
% 0.50/0.92 cnf('0.7.0.0',axiom,
% 0.50/0.92 ( add(X1,X2) = add(X2,X1) ),
% 0.50/0.92 file('/tmp/WALDMEISTER_23240_n018')).
% 0.50/0.92 cnf('0.7.1.0',plain,
% 0.50/0.92 ( add(X1,X2) = add(X2,X1) ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.50/0.92 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.50/0.92 cnf('0.7.2.0',plain,
% 0.50/0.92 ( add(X1,X2) = add(X2,X1) ),
% 0.50/0.92 inference(activate,[status(thm)],['0.7.1.0']),
% 0.50/0.92 [equation_2]).
% 0.50/0.92 cnf('0.11.0.0',plain,
% 0.50/0.92 ( add(additive_identity,X1) = X1 ),
% 0.50/0.92 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.50/0.92 [pos('L','L')]).
% 0.50/0.92 cnf('0.11.1.0',plain,
% 0.50/0.92 ( add(additive_identity,X1) = X1 ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.50/0.92 [weight('<3,7,2,[1,0,0,0]>')]).
% 0.50/0.92 cnf('0.11.2.0',plain,
% 0.50/0.92 ( add(additive_identity,X1) = X1 ),
% 0.50/0.92 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.50/0.92 [u,rule_9]).
% 0.50/0.92 cnf('0.13.0.0',plain,
% 0.50/0.92 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.50/0.92 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.50/0.92 [pos('L.1','L')]).
% 0.50/0.92 cnf('0.13.1.0',plain,
% 0.50/0.92 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.50/0.92 [weight('<5,6,2,[1,0,0,1]>')]).
% 0.50/0.92 cnf('0.13.2.0',plain,
% 0.50/0.92 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.50/0.92 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.50/0.92 [x,rule_11]).
% 0.50/0.92 cnf('0.18.0.0',plain,
% 0.50/0.92 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.50/0.92 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.50/0.92 [pos('L.1','L')]).
% 0.50/0.92 cnf('0.18.1.0',plain,
% 0.50/0.92 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.50/0.92 [weight('<6,5,4,[0,0,0,1]>')]).
% 0.50/0.92 cnf('0.18.1.1',plain,
% 0.50/0.92 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.50/0.92 inference(reduction,[status(thm)],['0.18.1.0','0.11.2.0',theory(equality)]),
% 0.50/0.92 [pos('R','L')]).
% 0.50/0.92 cnf('0.18.2.0',plain,
% 0.50/0.92 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.50/0.92 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.50/0.92 [u,rule_16]).
% 0.50/0.92 cnf('0.19.0.0',plain,
% 0.50/0.92 ( multiply(X1,additive_identity) = multiply(X1,inverse(X1)) ),
% 0.50/0.92 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 0.50/0.92 [pos('L.2','L')]).
% 0.50/0.92 cnf('0.19.0.1',plain,
% 0.50/0.92 ( multiply(X1,additive_identity) = additive_identity ),
% 0.50/0.92 inference(reduction,[status(thm)],['0.19.0.0','0.5.2.0',theory(equality)]),
% 0.50/0.92 [pos('R','L')]).
% 0.50/0.92 cnf('0.19.1.0',plain,
% 0.50/0.92 ( multiply(X1,additive_identity) = additive_identity ),
% 0.50/0.92 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.50/0.92 [weight('<3,18,2,[1,0,0,2]>')]).
% 0.50/0.92 cnf('0.19.2.0',plain,
% 0.50/0.92 ( multiply(X1,additive_identity) = additive_identity ),
% 0.50/0.92 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.50/0.92 [u,rule_17]).
% 0.50/0.92 cnf('1.0.0.0',conjecture,
% 0.50/0.92 ( multiply(a,add(a,b)) = a ),
% 0.50/0.92 file('/tmp/WALDMEISTER_23240_n018',conjecture_1)).
% 0.50/0.92 cnf('1.0.0.1',plain,
% 0.50/0.92 ( add(a,multiply(additive_identity,b)) = a ),
% 0.50/0.92 inference(reduction,[status(thm)],['1.0.0.0','0.13.2.0',theory(equality)]),
% 0.50/0.92 [pos('L','L')]).
% 0.50/0.92 cnf('1.0.0.2',plain,
% 0.50/0.92 ( add(a,multiply(b,additive_identity)) = a ),
% 0.50/0.92 inference(reduction,[status(thm)],['1.0.0.1','0.3.2.0',theory(equality)]),
% 0.50/0.92 [pos('L.2','L')]).
% 0.50/0.92 cnf('1.0.0.3',plain,
% 0.50/0.92 ( add(a,additive_identity) = a ),
% 0.50/0.92 inference(reduction,[status(thm)],['1.0.0.2','0.19.2.0',theory(equality)]),
% 0.50/0.92 [pos('L.2','L')]).
% 0.50/0.92 cnf('1.0.0.4',plain,
% 0.50/0.92 ( a = a ),
% 0.50/0.92 inference(reduction,[status(thm)],['1.0.0.3','0.2.2.0',theory(equality)]),
% 0.50/0.92 [pos('L','L')]).
% 0.50/0.92 cnf('1.0.0.5',plain,
% 0.50/0.92 ( $true ),
% 0.50/0.92 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.50/0.92 [conjecture_1]).
% 0.50/0.92
% 0.50/0.92 Proved Goals:
% 0.50/0.92 No. 1: multiply(a,add(a,b)) ?= a joined, current: a = a
% 0.50/0.92 1 goal was specified, which was proved.
% 0.50/0.92 % SZS output end CNFRefutation
% 0.50/0.92 #END OF PROOF
% 0.50/0.92
% 0.50/0.92 Problem WALDMEISTER_23240_n018
% 0.50/0.92 CPs.gen 85
% 0.50/0.92 CPs.reexp 0
% 0.50/0.92 Select 22
% 0.50/0.92 R 17
% 0.50/0.92 E 2
% 0.50/0.92 vsize 6.5M
% 0.50/0.92 rss 3.5M
% 0.50/0.92 process.time 0.002s
% 0.50/0.92 wallclock.time 0.002s
% 0.50/0.92 status S
% 0.50/0.92
% 0.50/0.92
% 0.50/0.92 Waldmeister states: Goal proved.
% 0.50/0.92 % SZS status Unsatisfiable
%------------------------------------------------------------------------------