TSTP Solution File: BOO022-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 0.61s 1.06s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 22:58:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) multiply(multiply(a,b),c) ?=? multiply(a,multiply(b,c))
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.61/1.06 joined goal: 1 multiply(multiply(a,b),c) ?= multiply(a,multiply(b,c)) to multiply(multiply(c,b),a)
% 0.61/1.06 goal joined
% 0.61/1.06 % SZS status Unsatisfiable
% 0.61/1.06 #START OF PROOF
% 0.61/1.06 % SZS output start CNFRefutation
% 0.61/1.06 cnf('0.1.0.0',axiom,
% 0.61/1.06 ( X1 = add(multiply(X2,X1),X1) ),
% 0.61/1.06 file('/tmp/WALDMEISTER_8950_n022')).
% 0.61/1.06 cnf('0.1.1.0',plain,
% 0.61/1.06 ( X1 = add(multiply(X2,X1),X1) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.06 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.06 cnf('0.1.2.0',plain,
% 0.61/1.06 ( add(multiply(X1,X2),X2) = X2 ),
% 0.61/1.06 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_1]).
% 0.61/1.06 cnf('0.2.0.0',axiom,
% 0.61/1.06 ( X1 = multiply(add(X2,X1),X1) ),
% 0.61/1.06 file('/tmp/WALDMEISTER_8950_n022')).
% 0.61/1.06 cnf('0.2.1.0',plain,
% 0.61/1.06 ( X1 = multiply(add(X2,X1),X1) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/1.06 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.61/1.06 cnf('0.2.2.0',plain,
% 0.61/1.06 ( multiply(add(X1,X2),X2) = X2 ),
% 0.61/1.06 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_2]).
% 0.61/1.06 cnf('0.3.0.0',axiom,
% 0.61/1.06 ( add(X1,multiply(X2,X3)) = multiply(add(X2,X1),add(X3,X1)) ),
% 0.61/1.06 file('/tmp/WALDMEISTER_8950_n022')).
% 0.61/1.06 cnf('0.3.1.0',plain,
% 0.61/1.06 ( add(X1,multiply(X2,X3)) = multiply(add(X2,X1),add(X3,X1)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/1.06 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.61/1.06 cnf('0.3.2.0',plain,
% 0.61/1.06 ( multiply(add(X1,X2),add(X3,X2)) = add(X2,multiply(X1,X3)) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_3]).
% 0.61/1.06 cnf('0.5.0.0',axiom,
% 0.61/1.06 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.61/1.06 file('/tmp/WALDMEISTER_8950_n022')).
% 0.61/1.06 cnf('0.5.1.0',plain,
% 0.61/1.06 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.06 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.61/1.06 cnf('0.5.2.0',plain,
% 0.61/1.06 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(X2,add(X1,X3)) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.61/1.06 [u,rule_5]).
% 0.61/1.06 cnf('0.7.0.0',plain,
% 0.61/1.06 ( X1 = add(X1,X1) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.1','L')]).
% 0.61/1.06 cnf('0.7.1.0',plain,
% 0.61/1.06 ( X1 = add(X1,X1) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.61/1.06 [weight('<19,2,1,[0,0,0,1]>')]).
% 0.61/1.06 cnf('0.7.2.0',plain,
% 0.61/1.06 ( add(X1,X1) = X1 ),
% 0.61/1.06 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_7]).
% 0.61/1.06 cnf('0.17.0.0',plain,
% 0.61/1.06 ( add(X1,multiply(X2,X1)) = multiply(add(X2,X1),X1) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.3.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2','L')]).
% 0.61/1.06 cnf('0.17.0.1',plain,
% 0.61/1.06 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.61/1.06 inference(reduction,[status(thm)],['0.17.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.06 [pos('R','L')]).
% 0.61/1.06 cnf('0.17.1.0',plain,
% 0.61/1.06 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.61/1.06 [weight('<41,7,3,[0,0,0,4]>')]).
% 0.61/1.06 cnf('0.17.2.0',plain,
% 0.61/1.06 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.61/1.06 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.61/1.06 [u,rule_17]).
% 0.61/1.06 cnf('0.27.0.0',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X2,add(X1,X1)) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.61/1.06 [pos('L','L')]).
% 0.61/1.06 cnf('0.27.0.1',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.61/1.06 inference(reduction,[status(thm)],['0.27.0.0','0.7.2.0',theory(equality)]),
% 0.61/1.06 [pos('R.2','L')]).
% 0.61/1.06 cnf('0.27.1.0',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.61/1.06 [weight('<48,7,5,[1,0,0,0]>')]).
% 0.61/1.06 cnf('0.27.2.0',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.61/1.06 inference(activate,[status(thm)],['0.27.1.0']),
% 0.61/1.06 [equation_1]).
% 0.61/1.06 cnf('0.33.0.0',plain,
% 0.61/1.06 ( X1 = add(X1,multiply(X1,X2)) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.17.2.0','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2','L')]).
% 0.61/1.06 cnf('0.33.1.0',plain,
% 0.61/1.06 ( X1 = add(X1,multiply(X1,X2)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.61/1.06 [weight('<41,27,17,[0,0,0,2]>')]).
% 0.61/1.06 cnf('0.33.2.0',plain,
% 0.61/1.06 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.61/1.06 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_32]).
% 0.61/1.06 cnf('0.113.0.0',plain,
% 0.61/1.06 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X3,multiply(X1,X2)),X2) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.3.2.0','0.17.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2','L')]).
% 0.61/1.06 cnf('0.113.0.1',plain,
% 0.61/1.06 ( multiply(X2,add(X1,X3)) = multiply(add(X3,multiply(X1,X2)),X2) ),
% 0.61/1.06 inference(reduction,[status(thm)],['0.113.0.0','0.5.2.0',theory(equality)]),
% 0.61/1.06 [pos('L','L')]).
% 0.61/1.06 cnf('0.113.1.0',plain,
% 0.61/1.06 ( multiply(X2,add(X1,X3)) = multiply(add(X3,multiply(X1,X2)),X2) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.113.0.1']),
% 0.61/1.06 [weight('<103,17,3,[0,0,0,4]>')]).
% 0.61/1.06 cnf('0.113.1.1',plain,
% 0.61/1.06 ( multiply(X2,add(X1,X3)) = multiply(X2,add(X3,multiply(X1,X2))) ),
% 0.61/1.06 inference(reduction,[status(thm)],['0.113.1.0','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('R','L')]).
% 0.61/1.06 cnf('0.113.2.0',plain,
% 0.61/1.06 ( multiply(X1,add(X2,multiply(X3,X1))) = multiply(X1,add(X3,X2)) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.113.1.1',theory(equality)]),
% 0.61/1.06 [x,rule_111]).
% 0.61/1.06 cnf('0.193.0.0',plain,
% 0.61/1.06 ( multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X1,X3)) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.5.2.0','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2','L')]).
% 0.61/1.06 cnf('0.193.1.0',plain,
% 0.61/1.06 ( multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X1,X3)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.193.0.0']),
% 0.61/1.06 [weight('<103,27,5,[0,0,0,4]>')]).
% 0.61/1.06 cnf('0.193.2.0',plain,
% 0.61/1.06 ( add(multiply(X1,X2),multiply(X2,X3)) = multiply(X2,add(X1,X3)) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_191]).
% 0.61/1.06 cnf('0.194.0.0',plain,
% 0.61/1.06 ( multiply(X1,add(X2,multiply(X3,X2))) = multiply(X1,multiply(X2,add(X3,X1))) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.113.2.0','0.193.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2','L')]).
% 0.61/1.06 cnf('0.194.0.1',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X1,multiply(X2,add(X3,X1))) ),
% 0.61/1.06 inference(reduction,[status(thm)],['0.194.0.0','0.17.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2','L')]).
% 0.61/1.06 cnf('0.194.1.0',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X1,multiply(X2,add(X3,X1))) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.194.0.1']),
% 0.61/1.06 [weight('<87,193,113,[0,0,0,2]>')]).
% 0.61/1.06 cnf('0.194.2.0',plain,
% 0.61/1.06 ( multiply(X1,multiply(X2,add(X3,X1))) = multiply(X1,X2) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_192]).
% 0.61/1.06 cnf('0.195.0.0',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X1,multiply(add(X3,X1),X2)) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.194.2.0','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2','L')]).
% 0.61/1.06 cnf('0.195.1.0',plain,
% 0.61/1.06 ( multiply(X1,X2) = multiply(X1,multiply(add(X3,X1),X2)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.195.0.0']),
% 0.61/1.06 [weight('<87,194,27,[1,0,0,2]>')]).
% 0.61/1.06 cnf('0.195.2.0',plain,
% 0.61/1.06 ( multiply(X1,multiply(add(X2,X1),X3)) = multiply(X1,X3) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_193]).
% 0.61/1.06 cnf('0.224.0.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.194.2.0','0.33.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2.2','L')]).
% 0.61/1.06 cnf('0.224.1.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.224.0.0']),
% 0.61/1.06 [weight('<103,194,33,[1,0,0,4]>')]).
% 0.61/1.06 cnf('0.224.2.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),multiply(X3,X1)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_222]).
% 0.61/1.06 cnf('0.225.0.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X2),multiply(X2,X3)) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.195.2.0','0.17.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.2.1','L')]).
% 0.61/1.06 cnf('0.225.1.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X2),multiply(X2,X3)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.225.0.0']),
% 0.61/1.06 [weight('<103,195,17,[1,0,0,3]>')]).
% 0.61/1.06 cnf('0.225.2.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.06 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 0.61/1.06 [x,rule_223]).
% 0.61/1.06 cnf('0.233.0.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X3,X1),multiply(X1,X2)) ),
% 0.61/1.06 inference(cp,[status(thm)],['0.224.2.0','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('L','L')]).
% 0.61/1.06 cnf('0.233.1.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X3,X1),multiply(X1,X2)) ),
% 0.61/1.06 inference(weigh,[status(thm)],['0.233.0.0']),
% 0.61/1.06 [weight('<103,224,27,[1,0,0,0]>')]).
% 0.61/1.06 cnf('0.233.1.1',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X3,X1),X2) ),
% 0.61/1.06 inference(reduction,[status(thm)],['0.233.1.0','0.225.2.0',theory(equality)]),
% 0.61/1.06 [pos('R','L')]).
% 0.61/1.06 cnf('0.233.2.0',plain,
% 0.61/1.06 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X3,X1),X2) ),
% 0.61/1.06 inference(activate,[status(thm)],['0.233.1.1']),
% 0.61/1.06 [equation_3]).
% 0.61/1.06 cnf('1.0.0.0',conjecture,
% 0.61/1.06 ( multiply(multiply(a,b),c) = multiply(a,multiply(b,c)) ),
% 0.61/1.06 file('/tmp/WALDMEISTER_8950_n022',conjecture_1)).
% 0.61/1.06 cnf('1.0.0.1',plain,
% 0.61/1.06 ( multiply(multiply(b,a),c) = multiply(a,multiply(b,c)) ),
% 0.61/1.06 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('L.1','L')]).
% 0.61/1.06 cnf('1.0.0.2',plain,
% 0.61/1.06 ( multiply(multiply(b,a),c) = multiply(a,multiply(c,b)) ),
% 0.61/1.06 inference(reduction,[status(thm)],['1.0.0.1','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('R.2','L')]).
% 0.61/1.06 cnf('1.0.0.3',plain,
% 0.61/1.06 ( multiply(multiply(b,a),c) = multiply(multiply(c,b),a) ),
% 0.61/1.06 inference(reduction,[status(thm)],['1.0.0.2','0.27.2.0',theory(equality)]),
% 0.61/1.06 [pos('R','L')]).
% 0.61/1.06 cnf('1.0.0.4',plain,
% 0.61/1.06 ( multiply(multiply(c,b),a) = multiply(multiply(c,b),a) ),
% 0.61/1.06 inference(reduction,[status(thm)],['1.0.0.3','0.233.2.0',theory(equality)]),
% 0.61/1.06 [pos('L','L')]).
% 0.61/1.06 cnf('1.0.0.5',plain,
% 0.61/1.06 ( $true ),
% 0.61/1.06 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.61/1.06 [conjecture_1]).
% 0.61/1.06
% 0.61/1.06 Proved Goals:
% 0.61/1.06 No. 1: multiply(multiply(a,b),c) ?= multiply(a,multiply(b,c)) joined, current: multiply(multiply(c,b),a) = multiply(multiply(c,b),a)
% 0.61/1.06 1 goal was specified, which was proved.
% 0.61/1.06 % SZS output end CNFRefutation
% 0.61/1.06 #END OF PROOF
% 0.61/1.06
% 0.61/1.06 Problem WALDMEISTER_8950_n022
% 0.61/1.06 CPs.gen 28193
% 0.61/1.06 CPs.reexp 0
% 0.61/1.06 Select 2013
% 0.61/1.06 R 230
% 0.61/1.06 E 3
% 0.61/1.06 vsize 6.5M
% 0.61/1.06 rss 3.8M
% 0.61/1.06 process.time 0.073s
% 0.61/1.06 wallclock.time 0.073s
% 0.61/1.06 status S
% 0.61/1.06
% 0.61/1.06
% 0.61/1.06 Waldmeister states: Goal proved.
% 0.61/1.06 % SZS status Unsatisfiable
%------------------------------------------------------------------------------