TSTP Solution File: GRP669-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP669-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 12:27:47 EDT 2022
% Result : Unsatisfiable 0.87s 1.28s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP669-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n007.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 : Tue Jun 14 09:35:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) mult(mult(mult(a,mult(b,c)),a),b) ?=? mult(mult(a,b),mult(c,mult(a,b)))
% 0.58/0.98
% 0.58/0.98 Detected structure: Loop
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.87/1.28 joined goal: 1 mult(mult(mult(a,mult(b,c)),a),b) ?= mult(mult(a,b),mult(c,mult(a,b))) to mult(a,mult(b,mult(mult(c,a),b)))
% 0.87/1.28 goal joined
% 0.87/1.28 % SZS status Unsatisfiable
% 0.87/1.28 #START OF PROOF
% 0.87/1.28 % SZS output start CNFRefutation
% 0.87/1.28 cnf('0.3.0.0',axiom,
% 0.87/1.28 ( X1 = mult(unit,X1) ),
% 0.87/1.28 file('/tmp/WALDMEISTER_2092_n007')).
% 0.87/1.28 cnf('0.3.1.0',plain,
% 0.87/1.28 ( X1 = mult(unit,X1) ),
% 0.87/1.28 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.87/1.28 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.87/1.28 cnf('0.3.2.0',plain,
% 0.87/1.28 ( mult(unit,X1) = X1 ),
% 0.87/1.28 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.87/1.28 [x,rule_3]).
% 0.87/1.28 cnf('0.7.0.0',axiom,
% 0.87/1.28 ( mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2) ),
% 0.87/1.28 file('/tmp/WALDMEISTER_2092_n007')).
% 0.87/1.28 cnf('0.7.1.0',plain,
% 0.87/1.28 ( mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2) ),
% 0.87/1.28 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.87/1.28 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.87/1.28 cnf('0.7.2.0',plain,
% 0.87/1.28 ( mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,mult(X3,X2))) ),
% 0.87/1.28 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.87/1.28 [x,rule_7]).
% 0.87/1.28 cnf('0.8.0.0',axiom,
% 0.87/1.28 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3) ),
% 0.87/1.28 file('/tmp/WALDMEISTER_2092_n007')).
% 0.87/1.28 cnf('0.8.1.0',plain,
% 0.87/1.28 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3) ),
% 0.87/1.28 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.87/1.28 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.87/1.28 cnf('0.8.2.0',plain,
% 0.87/1.28 ( mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 0.87/1.28 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.87/1.28 [x,rule_8]).
% 0.87/1.28 cnf('0.9.0.0',axiom,
% 0.87/1.28 ( mult(X1,mult(mult(X2,X3),X1)) = mult(mult(X1,X2),mult(X3,X1)) ),
% 0.87/1.28 file('/tmp/WALDMEISTER_2092_n007')).
% 0.87/1.28 cnf('0.9.1.0',plain,
% 0.87/1.28 ( mult(X1,mult(mult(X2,X3),X1)) = mult(mult(X1,X2),mult(X3,X1)) ),
% 0.87/1.28 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.87/1.28 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.87/1.28 cnf('0.9.2.0',plain,
% 0.87/1.28 ( mult(mult(X1,X2),mult(X3,X1)) = mult(X1,mult(mult(X2,X3),X1)) ),
% 0.87/1.28 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.87/1.28 [x,rule_9]).
% 0.87/1.28 cnf('0.18.0.0',plain,
% 0.87/1.28 ( mult(unit,mult(X1,mult(X2,X1))) = mult(mult(X1,X2),X1) ),
% 0.87/1.28 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.87/1.28 [pos('L.1.1','L')]).
% 0.87/1.28 cnf('0.18.0.1',plain,
% 0.87/1.28 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 0.87/1.28 inference(reduction,[status(thm)],['0.18.0.0','0.3.2.0',theory(equality)]),
% 0.87/1.28 [pos('L','L')]).
% 0.87/1.28 cnf('0.18.1.0',plain,
% 0.87/1.28 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 0.87/1.28 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.87/1.28 [weight('<65,7,3,[1,0,0,2]>')]).
% 0.87/1.28 cnf('0.18.2.0',plain,
% 0.87/1.28 ( mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)) ),
% 0.87/1.28 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.87/1.28 [x,rule_18]).
% 0.87/1.28 cnf('0.57.0.0',plain,
% 0.87/1.28 ( mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 0.87/1.28 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.87/1.28 cnf('0.57.0.1',plain,
% 0.87/1.28 ( mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 0.87/1.28 inference(reduction,[status(thm)],['0.57.0.0','0.18.2.0',theory(equality)]),
% 0.87/1.28 [pos('L.1','L')]).
% 0.87/1.28 cnf('0.57.1.0',plain,
% 0.87/1.28 ( mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 0.87/1.28 inference(weigh,[status(thm)],['0.57.0.1']),
% 0.87/1.28 [weight('<119,8,18,[0,0,0,0]>')]).
% 0.87/1.28 cnf('0.57.2.0',plain,
% 0.87/1.28 ( mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 0.87/1.28 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.87/1.28 [u,rule_57]).
% 0.87/1.28 cnf('0.398.0.0',plain,
% 0.87/1.28 ( mult(X1,mult(mult(X2,X1),mult(X3,mult(X2,X1)))) = mult(mult(X1,mult(X2,mult(X1,X3))),mult(X2,X1)) ),
% 0.87/1.28 inference(cp,[status(thm)],['0.7.2.0','0.57.2.0',theory(equality)]),
% 0.87/1.28 [pos('L.1','L')]).
% 0.87/1.28 cnf('0.398.0.1',plain,
% 0.87/1.28 ( mult(X1,mult(mult(X2,X1),mult(X3,mult(X2,X1)))) = mult(X1,mult(mult(mult(X2,mult(X1,X3)),X2),X1)) ),
% 0.87/1.28 inference(reduction,[status(thm)],['0.398.0.0','0.9.2.0',theory(equality)]),
% 0.87/1.28 [pos('R','L')]).
% 0.87/1.28 cnf('0.398.0.2',plain,
% 0.87/1.28 ( mult(X1,mult(mult(X2,X1),mult(X3,mult(X2,X1)))) = mult(X1,mult(mult(X2,mult(mult(X1,X3),X2)),X1)) ),
% 0.87/1.28 inference(reduction,[status(thm)],['0.398.0.1','0.18.2.0',theory(equality)]),
% 0.87/1.28 [pos('R.2.1','L')]).
% 0.87/1.28 cnf('0.398.0.3',plain,
% 0.87/1.28 ( mult(X1,mult(mult(X2,X1),mult(X3,mult(X2,X1)))) = mult(X1,mult(X2,mult(mult(X1,X3),mult(X2,X1)))) ),
% 0.87/1.28 inference(reduction,[status(thm)],['0.398.0.2','0.57.2.0',theory(equality)]),
% 0.87/1.28 [pos('R.2','L')]).
% 0.87/1.28 cnf('0.398.0.4',plain,
% 0.87/1.28 ( mult(X1,mult(mult(X2,X1),mult(X3,mult(X2,X1)))) = mult(X1,mult(X2,mult(X1,mult(mult(X3,X2),X1)))) ),
% 0.87/1.28 inference(reduction,[status(thm)],['0.398.0.3','0.9.2.0',theory(equality)]),
% 0.87/1.28 [pos('R.2.2','L')]).
% 0.87/1.28 cnf('0.398.1.0',plain,
% 0.87/1.28 ( mult(mult(X2,X1),mult(X3,mult(X2,X1))) = mult(X2,mult(X1,mult(mult(X3,X2),X1))) ),
% 0.87/1.28 inference(weigh,[status(thm)],['0.398.0.4']),
% 0.87/1.28 [weight('<189,57,7,[0,0,0,1]>')]).
% 0.87/1.28 cnf('0.398.2.0',plain,
% 0.87/1.28 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X1,mult(X2,mult(mult(X3,X1),X2))) ),
% 0.87/1.28 inference(orient,[status(thm)],['0.398.1.0',theory(equality)]),
% 0.87/1.28 [u,rule_398]).
% 0.87/1.28 cnf('1.0.0.0',conjecture,
% 0.87/1.28 ( mult(mult(mult(a,mult(b,c)),a),b) = mult(mult(a,b),mult(c,mult(a,b))) ),
% 0.87/1.28 file('/tmp/WALDMEISTER_2092_n007',conjecture_1)).
% 0.87/1.28 cnf('1.0.0.1',plain,
% 0.87/1.28 ( mult(a,mult(mult(b,c),mult(a,b))) = mult(mult(a,b),mult(c,mult(a,b))) ),
% 0.87/1.28 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 0.87/1.28 [pos('L','L')]).
% 0.87/1.28 cnf('1.0.0.2',plain,
% 0.87/1.28 ( mult(a,mult(b,mult(mult(c,a),b))) = mult(mult(a,b),mult(c,mult(a,b))) ),
% 0.87/1.28 inference(reduction,[status(thm)],['1.0.0.1','0.9.2.0',theory(equality)]),
% 0.87/1.28 [pos('L.2','L')]).
% 0.87/1.28 cnf('1.0.0.3',plain,
% 0.87/1.28 ( mult(a,mult(b,mult(mult(c,a),b))) = mult(a,mult(b,mult(mult(c,a),b))) ),
% 0.87/1.28 inference(reduction,[status(thm)],['1.0.0.2','0.398.2.0',theory(equality)]),
% 0.87/1.28 [pos('R','L')]).
% 0.87/1.28 cnf('1.0.0.4',plain,
% 0.87/1.28 ( $true ),
% 0.87/1.28 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.87/1.28 [conjecture_1]).
% 0.87/1.28
% 0.87/1.28 Proved Goals:
% 0.87/1.28 No. 1: mult(mult(mult(a,mult(b,c)),a),b) ?= mult(mult(a,b),mult(c,mult(a,b))) joined, current: mult(a,mult(b,mult(mult(c,a),b))) = mult(a,mult(b,mult(mult(c,a),b)))
% 0.87/1.28 1 goal was specified, which was proved.
% 0.87/1.28 % SZS output end CNFRefutation
% 0.87/1.28 #END OF PROOF
% 0.87/1.28
% 0.87/1.28 Problem WALDMEISTER_2092_n007
% 0.87/1.28 CPs.gen 44227
% 0.87/1.28 CPs.reexp 0
% 0.87/1.28 Select 1775
% 0.87/1.28 R 398
% 0.87/1.28 E 0
% 0.87/1.28 vsize 6.5M
% 0.87/1.28 rss 4.1M
% 0.87/1.28 process.time 0.297s
% 0.87/1.28 wallclock.time 0.300s
% 0.87/1.28 status S
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Waldmeister states: Goal proved.
% 0.87/1.28 % SZS status Unsatisfiable
%------------------------------------------------------------------------------