%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Fri Jul 15 00:47:36 EDT 2022
% Result : Unsatisfiable 0.62s 1.04s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 : Tue May 31 13:14:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.62/1.04 ********************************************************************************
% 0.62/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.04 * |/ | \/ | *
% 0.62/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.04 * A. Jaeger and B. Loechner | | *
% 0.62/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.04 ********************************************************************************
% 0.62/1.04
% 0.62/1.04
% 0.62/1.04 Goals:
% 0.62/1.04 ------
% 0.62/1.04
% 0.62/1.04 ( 1) true ?= false
% 0.62/1.04 using narrowing to prove x1 ?= response(x1,x1)
% 0.62/1.04
% 0.62/1.04 Detected structure: Orkus
% 0.62/1.04 ********************************************************************************
% 0.62/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.04 ********************************************************************************
% 0.62/1.04
% 0.62/1.04 joined goal: 1 x1 ?= response(x1,x1) to false
% 0.62/1.04 goal joined
% 0.62/1.04 % SZS status Unsatisfiable
% 0.62/1.04 #START OF PROOF
% 0.62/1.04 % SZS output start CNFRefutation
% 0.62/1.04 cnf('0.1.0.0',axiom,
% 0.62/1.04 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_32464_n026')).
% 0.62/1.04 cnf('0.1.1.0',plain,
% 0.62/1.04 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.1.2.0',plain,
% 0.62/1.04 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.1.1.0']),
% 0.62/1.04 [equation_1]).
% 0.62/1.04 cnf('0.2.0.0',axiom,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 file('/tmp/WALDMEISTER_32464_n026')).
% 0.62/1.04 cnf('0.2.1.0',plain,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.2.2.0',plain,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_1]).
% 0.62/1.04 cnf('0.3.0.0',axiom,
% 0.62/1.04 ( eq(X1,response(X1,X1)) = false ),
% 0.62/1.04 file('/tmp/WALDMEISTER_32464_n026')).
% 0.62/1.04 cnf('0.3.1.0',plain,
% 0.62/1.04 ( eq(X1,response(X1,X1)) = false ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.04 cnf('0.3.2.0',plain,
% 0.62/1.04 ( eq(X1,response(X1,X1)) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_2]).
% 0.62/1.04 cnf('0.4.0.0',plain,
% 0.62/1.04 ( response(response(lark,X1),response(X2,X2)) = response(X1,response(response(lark,response(X2,X2)),X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.4.1.0',plain,
% 0.62/1.04 ( response(response(lark,X1),response(X2,X2)) = response(X1,response(response(lark,response(X2,X2)),X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.04 [weight('<169,1,1,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.4.2.0',plain,
% 0.62/1.04 ( response(X1,response(response(lark,response(X2,X2)),X2)) = response(response(lark,X1),response(X2,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_3]).
% 0.62/1.04 cnf('0.5.0.0',plain,
% 0.62/1.04 ( false = eq(response(X1,X1),response(response(lark,response(X1,X1)),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.5.1.0',plain,
% 0.62/1.04 ( false = eq(response(X1,X1),response(response(lark,response(X1,X1)),X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.04 [weight('<120,3,1,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.5.2.0',plain,
% 0.62/1.04 ( eq(response(X1,X1),response(response(lark,response(X1,X1)),X1)) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_4]).
% 0.62/1.04 cnf('0.7.0.0',plain,
% 0.62/1.04 ( false = eq(response(response(X1,X1),response(X1,X1)),response(response(lark,response(response(lark,response(X1,X1)),X1)),response(X1,X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.1.2','L')]).
% 0.62/1.04 cnf('0.7.0.1',plain,
% 0.62/1.04 ( false = eq(response(response(X1,X1),response(X1,X1)),response(response(response(lark,lark),response(X1,X1)),response(X1,X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.7.0.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2.1','L')]).
% 0.62/1.04 cnf('0.7.1.0',plain,
% 0.62/1.04 ( false = eq(response(response(X1,X1),response(X1,X1)),response(response(response(lark,lark),response(X1,X1)),response(X1,X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.62/1.04 [weight('<36,5,1,[1,0,0,7]>')]).
% 0.62/1.04 cnf('0.7.2.0',plain,
% 0.62/1.04 ( eq(response(response(X1,X1),response(X1,X1)),response(response(response(lark,lark),response(X1,X1)),response(X1,X1))) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_6]).
% 0.62/1.04 cnf('0.9.0.0',plain,
% 0.62/1.04 ( false = eq(response(response(X1,X1),response(X1,X1)),response(response(response(lark,response(lark,lark)),X1),response(X1,X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.1','L')]).
% 0.62/1.04 cnf('0.9.1.0',plain,
% 0.62/1.04 ( false = eq(response(response(X1,X1),response(X1,X1)),response(response(response(lark,response(lark,lark)),X1),response(X1,X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.04 [weight('<0,7,1,[1,0,0,9]>')]).
% 0.62/1.04 cnf('0.9.2.0',plain,
% 0.62/1.04 ( eq(response(response(X1,X1),response(X1,X1)),response(response(response(lark,response(lark,lark)),X1),response(X1,X1))) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_7]).
% 0.62/1.04 cnf('0.10.0.0',plain,
% 0.62/1.04 ( false = true ),
% 0.62/1.04 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.10.1.0',plain,
% 0.62/1.04 ( false = true ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.62/1.04 [weight('<5,9,2,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.10.2.0',plain,
% 0.62/1.04 ( true = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_8]).
% 0.62/1.04 cnf('1.0.0.0',conjecture,
% 0.62/1.04 ( true = false ),
% 0.62/1.04 file('/tmp/WALDMEISTER_32464_n026',conjecture_1)).
% 0.62/1.04 cnf('1.0.0.1',plain,
% 0.62/1.04 ( false = false ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('1.0.0.2',plain,
% 0.62/1.04 ( $true ),
% 0.62/1.04 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.04 [conjecture_1]).
% 0.62/1.04
% 0.62/1.04 Proved Goals:
% 0.62/1.04 No. 1: true ?= false, current false ?= false
% 0.62/1.04 using narrowing to prove x1 ?= response(x1,x1)
% 0.62/1.04
% 0.62/1.04 1 goal was specified, which was proved.
% 0.62/1.04 % SZS output end CNFRefutation
% 0.62/1.04 #END OF PROOF
% 0.62/1.04
% 0.62/1.04 Problem WALDMEISTER_32464_n026
% 0.62/1.04 CPs.gen 100
% 0.62/1.04 CPs.reexp 0
% 0.62/1.04 Select 11
% 0.62/1.04 R 8
% 0.62/1.04 E 2
% 0.62/1.04 vsize 6.3M
% 0.62/1.04 rss 3.7M
% 0.62/1.04 process.time 0.003s
% 0.62/1.04 wallclock.time 0.003s
% 0.62/1.04 status S
% 0.62/1.04
% 0.62/1.04
% 0.62/1.04 Waldmeister states: Goal proved.
% 0.62/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------