TSTP Solution File: BOO021-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.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 23:52:52 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 23:06:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.09 ********************************************************************************
% 0.71/1.09 * W A L D M E I S T E R \| \ / \|/ *
% 0.71/1.09 * |/ | \/ | *
% 0.71/1.09 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.71/1.09 * A. Jaeger and B. Loechner | | *
% 0.71/1.09 * <waldmeister@informatik.uni-kl.de> | *
% 0.71/1.09 ********************************************************************************
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Goals:
% 0.71/1.09 ------
% 0.71/1.09
% 0.71/1.09 ( 1) multiply(b,a) ?=? multiply(a,b)
% 0.71/1.09
% 0.71/1.09 Detected structure: Orkus
% 0.71/1.09 ********************************************************************************
% 0.71/1.09 ****************************** COMPLETION - PROOF ******************************
% 0.71/1.09 ********************************************************************************
% 0.71/1.09
% 0.71/1.09 joined goal: 1 multiply(b,a) ?= multiply(a,b) to multiply(a,b)
% 0.71/1.09 goal joined
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 #START OF PROOF
% 0.71/1.09 % SZS output start CNFRefutation
% 0.71/1.09 cnf('0.1.0.0',axiom,
% 0.71/1.09 ( X1 = add(multiply(X2,X1),X1) ),
% 0.71/1.09 file('/tmp/WALDMEISTER_28508_n026')).
% 0.71/1.09 cnf('0.1.1.0',plain,
% 0.71/1.09 ( X1 = add(multiply(X2,X1),X1) ),
% 0.71/1.09 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.71/1.09 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.71/1.09 cnf('0.1.2.0',plain,
% 0.71/1.09 ( add(multiply(X1,X2),X2) = X2 ),
% 0.71/1.09 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.71/1.09 [x,rule_1]).
% 0.71/1.09 cnf('0.2.0.0',axiom,
% 0.71/1.09 ( X1 = multiply(add(X2,X1),X1) ),
% 0.71/1.09 file('/tmp/WALDMEISTER_28508_n026')).
% 0.71/1.09 cnf('0.2.1.0',plain,
% 0.71/1.09 ( X1 = multiply(add(X2,X1),X1) ),
% 0.71/1.09 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.71/1.09 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.71/1.09 cnf('0.2.2.0',plain,
% 0.71/1.09 ( multiply(add(X1,X2),X2) = X2 ),
% 0.71/1.09 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.71/1.09 [x,rule_2]).
% 0.71/1.09 cnf('0.5.0.0',axiom,
% 0.71/1.09 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.71/1.09 file('/tmp/WALDMEISTER_28508_n026')).
% 0.71/1.09 cnf('0.5.1.0',plain,
% 0.71/1.09 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.71/1.09 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.71/1.09 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.71/1.09 cnf('0.5.2.0',plain,
% 0.71/1.09 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.71/1.09 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.71/1.09 [u,rule_5]).
% 0.71/1.09 cnf('0.7.0.0',plain,
% 0.71/1.09 ( X1 = add(X1,X1) ),
% 0.71/1.09 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.71/1.09 [pos('L.1','L')]).
% 0.71/1.09 cnf('0.7.1.0',plain,
% 0.71/1.09 ( X1 = add(X1,X1) ),
% 0.71/1.09 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.71/1.09 [weight('<19,2,1,[0,0,0,1]>')]).
% 0.71/1.09 cnf('0.7.2.0',plain,
% 0.71/1.09 ( add(X1,X1) = X1 ),
% 0.71/1.09 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.71/1.09 [x,rule_7]).
% 0.71/1.09 cnf('0.27.0.0',plain,
% 0.71/1.09 ( multiply(X1,X2) = multiply(X2,add(X1,X1)) ),
% 0.71/1.09 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.71/1.09 [pos('L','L')]).
% 0.71/1.09 cnf('0.27.0.1',plain,
% 0.71/1.09 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.71/1.09 inference(reduction,[status(thm)],['0.27.0.0','0.7.2.0',theory(equality)]),
% 0.71/1.09 [pos('R.2','L')]).
% 0.71/1.09 cnf('0.27.1.0',plain,
% 0.71/1.09 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.71/1.09 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.71/1.09 [weight('<48,7,5,[1,0,0,0]>')]).
% 0.71/1.09 cnf('0.27.2.0',plain,
% 0.71/1.09 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.71/1.09 inference(activate,[status(thm)],['0.27.1.0']),
% 0.71/1.09 [equation_1]).
% 0.71/1.09 cnf('1.0.0.0',conjecture,
% 0.71/1.09 ( multiply(b,a) = multiply(a,b) ),
% 0.71/1.09 file('/tmp/WALDMEISTER_28508_n026',conjecture_1)).
% 0.71/1.09 cnf('1.0.0.1',plain,
% 0.71/1.09 ( multiply(a,b) = multiply(a,b) ),
% 0.71/1.09 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.0',theory(equality)]),
% 0.71/1.09 [pos('L','L')]).
% 0.71/1.09 cnf('1.0.0.2',plain,
% 0.71/1.09 ( $true ),
% 0.71/1.09 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.71/1.09 [conjecture_1]).
% 0.71/1.09
% 0.71/1.09 Proved Goals:
% 0.71/1.09 No. 1: multiply(b,a) ?= multiply(a,b) joined, current: multiply(a,b) = multiply(a,b)
% 0.71/1.09 1 goal was specified, which was proved.
% 0.71/1.09 % SZS output end CNFRefutation
% 0.71/1.09 #END OF PROOF
% 0.71/1.09
% 0.71/1.09 Problem WALDMEISTER_28508_n026
% 0.71/1.09 CPs.gen 130
% 0.71/1.09 CPs.reexp 0
% 0.71/1.09 Select 31
% 0.71/1.09 R 26
% 0.71/1.09 E 1
% 0.71/1.09 vsize 6.5M
% 0.71/1.09 rss 3.8M
% 0.71/1.09 process.time 0.002s
% 0.71/1.09 wallclock.time 0.002s
% 0.71/1.09 status S
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Waldmeister states: Goal proved.
% 0.71/1.09 % SZS status Unsatisfiable
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