TSTP Solution File: GRP487-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 12:26:28 EDT 2022
% Result : Unsatisfiable 0.57s 0.95s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n008.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 : Tue Jun 14 02:11:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.95 ********************************************************************************
% 0.57/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.95 * |/ | \/ | *
% 0.57/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.95 * A. Jaeger and B. Loechner | | *
% 0.57/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.95 ********************************************************************************
% 0.57/0.95
% 0.57/0.95
% 0.57/0.95 Goals:
% 0.57/0.95 ------
% 0.57/0.95
% 0.57/0.95 ( 1) identity ?=? multiply(inverse(a1),a1)
% 0.57/0.95
% 0.57/0.95 Detected structure: Orkus
% 0.57/0.95 ********************************************************************************
% 0.57/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.95 ********************************************************************************
% 0.57/0.95
% 0.57/0.95 joined goal: 1 identity ?= multiply(inverse(a1),a1) to inverse(identity)
% 0.57/0.95 goal joined
% 0.57/0.95 % SZS status Unsatisfiable
% 0.57/0.95 #START OF PROOF
% 0.57/0.95 % SZS output start CNFRefutation
% 0.57/0.95 cnf('0.1.0.0',axiom,
% 0.57/0.95 ( X1 = double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X1))),X3),identity)) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_27472_n008')).
% 0.57/0.95 cnf('0.1.1.0',plain,
% 0.57/0.95 ( X1 = double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X1))),X3),identity)) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.95 cnf('0.1.2.0',plain,
% 0.57/0.95 ( double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2),identity)) = X3 ),
% 0.57/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_1]).
% 0.57/0.95 cnf('0.2.0.0',axiom,
% 0.57/0.95 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_27472_n008')).
% 0.57/0.95 cnf('0.2.1.0',plain,
% 0.57/0.95 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.95 cnf('0.2.2.0',plain,
% 0.57/0.95 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.95 [u,rule_2]).
% 0.57/0.95 cnf('0.3.0.0',axiom,
% 0.57/0.95 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.95 file('/tmp/WALDMEISTER_27472_n008')).
% 0.57/0.95 cnf('0.3.1.0',plain,
% 0.57/0.95 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.95 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.95 cnf('0.3.2.0',plain,
% 0.57/0.95 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.95 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.95 [u,rule_3]).
% 0.57/0.95 cnf('0.4.0.0',axiom,
% 0.57/0.95 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_27472_n008')).
% 0.57/0.95 cnf('0.4.1.0',plain,
% 0.57/0.95 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.95 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.95 cnf('0.4.1.1',plain,
% 0.57/0.95 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.57/0.95 [pos('L','L')]).
% 0.57/0.95 cnf('0.4.2.0',plain,
% 0.57/0.95 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.57/0.95 [u,rule_4]).
% 0.57/0.95 cnf('0.5.0.0',plain,
% 0.57/0.95 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.1','L')]).
% 0.57/0.95 cnf('0.5.1.0',plain,
% 0.57/0.95 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.95 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.57/0.95 cnf('0.5.2.0',plain,
% 0.57/0.95 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_5]).
% 0.57/0.95 cnf('0.6.0.0',plain,
% 0.57/0.95 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.1','L')]).
% 0.57/0.95 cnf('0.6.1.0',plain,
% 0.57/0.95 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.95 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.57/0.95 cnf('0.6.2.0',plain,
% 0.57/0.95 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.95 [u,rule_6]).
% 0.57/0.95 cnf('0.9.0.0',plain,
% 0.57/0.95 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.1','L')]).
% 0.57/0.95 cnf('0.9.1.0',plain,
% 0.57/0.95 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.95 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.57/0.95 cnf('0.9.2.0',plain,
% 0.57/0.95 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.95 [u,rule_9]).
% 0.57/0.95 cnf('0.19.0.0',plain,
% 0.57/0.95 ( double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2),identity)) = X3 ),
% 0.57/0.95 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.95 cnf('0.19.0.1',plain,
% 0.57/0.95 ( double_divide(X1,inverse(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2))) = X3 ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2','L')]).
% 0.57/0.95 cnf('0.19.0.2',plain,
% 0.57/0.95 ( double_divide(X1,inverse(double_divide(double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))),X2))) = X3 ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.19.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2.1.1.2.1','L')]).
% 0.57/0.95 cnf('0.19.1.0',plain,
% 0.57/0.95 ( double_divide(X1,inverse(double_divide(double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))),X2))) = X3 ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.19.0.2']),
% 0.57/0.95 [weight('<209,1,2,[0,0,0,0]>')]).
% 0.57/0.95 cnf('0.19.1.1',plain,
% 0.57/0.95 ( double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))))) = X3 ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.19.1.0','0.4.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2','L')]).
% 0.57/0.95 cnf('0.19.2.0',plain,
% 0.57/0.95 ( double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,X3))))) = X3 ),
% 0.57/0.95 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.57/0.95 [u,rule_19]).
% 0.57/0.95 cnf('0.20.0.0',plain,
% 0.57/0.95 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,double_divide(inverse(X2),identity)))) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2.2.2.2','L')]).
% 0.57/0.95 cnf('0.20.0.1',plain,
% 0.57/0.95 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,inverse(inverse(X2))))) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.95 [pos('R.2.2.2','L')]).
% 0.57/0.95 cnf('0.20.0.2',plain,
% 0.57/0.95 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,multiply(identity,X2)))) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.20.0.1','0.5.2.0',theory(equality)]),
% 0.57/0.95 [pos('R.2.2.2','L')]).
% 0.57/0.95 cnf('0.20.1.0',plain,
% 0.57/0.95 ( inverse(X1) = double_divide(X2,multiply(X1,double_divide(identity,multiply(identity,X2)))) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.20.0.2']),
% 0.57/0.95 [weight('<119,19,3,[1,0,0,9]>')]).
% 0.57/0.95 cnf('0.20.2.0',plain,
% 0.57/0.95 ( double_divide(X1,multiply(X2,double_divide(identity,multiply(identity,X1)))) = inverse(X2) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_20]).
% 0.57/0.95 cnf('0.21.0.0',plain,
% 0.57/0.95 ( inverse(inverse(double_divide(identity,multiply(identity,X1)))) = double_divide(X1,inverse(identity)) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.20.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2','L')]).
% 0.57/0.95 cnf('0.21.0.1',plain,
% 0.57/0.95 ( multiply(identity,double_divide(identity,multiply(identity,X1))) = double_divide(X1,inverse(identity)) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.21.0.0','0.5.2.0',theory(equality)]),
% 0.57/0.95 [pos('L','L')]).
% 0.57/0.95 cnf('0.21.0.2',plain,
% 0.57/0.95 ( inverse(multiply(multiply(identity,X1),identity)) = double_divide(X1,inverse(identity)) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.21.0.1','0.9.2.0',theory(equality)]),
% 0.57/0.95 [pos('L','L')]).
% 0.57/0.95 cnf('0.21.1.0',plain,
% 0.57/0.95 ( inverse(multiply(multiply(identity,X1),identity)) = double_divide(X1,inverse(identity)) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.21.0.2']),
% 0.57/0.95 [weight('<76,20,6,[1,0,0,2]>')]).
% 0.57/0.95 cnf('0.21.2.0',plain,
% 0.57/0.95 ( inverse(multiply(multiply(identity,X1),identity)) = double_divide(X1,inverse(identity)) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.57/0.95 [u,rule_21]).
% 0.57/0.95 cnf('0.23.0.0',plain,
% 0.57/0.95 ( inverse(identity) = double_divide(X1,inverse(multiply(multiply(identity,X1),identity))) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.20.2.0','0.9.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2','L')]).
% 0.57/0.95 cnf('0.23.1.0',plain,
% 0.57/0.95 ( inverse(identity) = double_divide(X1,inverse(multiply(multiply(identity,X1),identity))) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.57/0.95 [weight('<98,20,9,[1,0,0,2]>')]).
% 0.57/0.95 cnf('0.23.1.1',plain,
% 0.57/0.95 ( inverse(identity) = double_divide(X1,double_divide(X1,inverse(identity))) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.23.1.0','0.21.2.0',theory(equality)]),
% 0.57/0.95 [pos('R.2','L')]).
% 0.57/0.95 cnf('0.23.2.0',plain,
% 0.57/0.95 ( double_divide(X1,double_divide(X1,inverse(identity))) = inverse(identity) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.23.1.1',theory(equality)]),
% 0.57/0.95 [x,rule_23]).
% 0.57/0.95 cnf('0.24.0.0',plain,
% 0.57/0.95 ( inverse(identity) = double_divide(X1,multiply(inverse(X1),double_divide(identity,inverse(identity)))) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.19.2.0','0.23.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2.2.2','L')]).
% 0.57/0.95 cnf('0.24.0.1',plain,
% 0.57/0.95 ( inverse(identity) = double_divide(X1,multiply(inverse(X1),identity)) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.24.0.0','0.3.2.0',theory(equality)]),
% 0.57/0.95 [pos('R.2.2','L')]).
% 0.57/0.95 cnf('0.24.1.0',plain,
% 0.57/0.95 ( inverse(identity) = double_divide(X1,multiply(inverse(X1),identity)) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.57/0.95 [weight('<62,23,19,[0,0,0,6]>')]).
% 0.57/0.95 cnf('0.24.2.0',plain,
% 0.57/0.95 ( double_divide(X1,multiply(inverse(X1),identity)) = inverse(identity) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_24]).
% 0.57/0.95 cnf('0.25.0.0',plain,
% 0.57/0.95 ( inverse(identity) = double_divide(identity,inverse(identity)) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.24.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2','L')]).
% 0.57/0.95 cnf('0.25.0.1',plain,
% 0.57/0.95 ( inverse(identity) = identity ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.25.0.0','0.3.2.0',theory(equality)]),
% 0.57/0.95 [pos('R','L')]).
% 0.57/0.95 cnf('0.25.1.0',plain,
% 0.57/0.95 ( inverse(identity) = identity ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.57/0.95 [weight('<11,24,6,[1,0,0,2]>')]).
% 0.57/0.95 cnf('0.25.2.0',plain,
% 0.57/0.95 ( inverse(identity) = identity ),
% 0.57/0.95 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.57/0.95 [u,rule_25]).
% 0.57/0.95 cnf('1.0.0.0',conjecture,
% 0.57/0.95 ( identity = multiply(inverse(a1),a1) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_27472_n008',conjecture_1)).
% 0.57/0.95 cnf('1.0.0.1',plain,
% 0.57/0.95 ( identity = inverse(identity) ),
% 0.57/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.57/0.95 [pos('R','L')]).
% 0.57/0.95 cnf('1.0.0.2',plain,
% 0.57/0.95 ( inverse(identity) = inverse(identity) ),
% 0.57/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.25.2.0',theory(equality)]),
% 0.57/0.95 [pos('L','R')]).
% 0.57/0.95 cnf('1.0.0.3',plain,
% 0.57/0.95 ( $true ),
% 0.57/0.95 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.57/0.95 [conjecture_1]).
% 0.57/0.95
% 0.57/0.95 Proved Goals:
% 0.57/0.95 No. 1: identity ?= multiply(inverse(a1),a1) joined, current: inverse(identity) = inverse(identity)
% 0.57/0.95 1 goal was specified, which was proved.
% 0.57/0.95 % SZS output end CNFRefutation
% 0.57/0.95 #END OF PROOF
% 0.57/0.95
% 0.57/0.95 Problem WALDMEISTER_27472_n008
% 0.57/0.95 CPs.gen 158
% 0.57/0.95 CPs.reexp 0
% 0.57/0.95 Select 47
% 0.57/0.95 R 25
% 0.57/0.95 E 0
% 0.57/0.95 vsize 6.4M
% 0.57/0.95 rss 3.8M
% 0.57/0.95 process.time 0.003s
% 0.57/0.95 wallclock.time 0.003s
% 0.57/0.95 status S
% 0.57/0.95
% 0.57/0.95
% 0.57/0.95 Waldmeister states: Goal proved.
% 0.57/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------