TSTP Solution File: COL059-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 00:47:37 EDT 2022
% Result : Unsatisfiable 0.49s 0.90s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.11 % Command : woody %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue May 31 15:47:28 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.49/0.90 ********************************************************************************
% 0.49/0.90 * W A L D M E I S T E R \| \ / \|/ *
% 0.49/0.90 * |/ | \/ | *
% 0.49/0.90 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.49/0.90 * A. Jaeger and B. Loechner | | *
% 0.49/0.90 * <waldmeister@informatik.uni-kl.de> | *
% 0.49/0.90 ********************************************************************************
% 0.49/0.90
% 0.49/0.90
% 0.49/0.90 Goals:
% 0.49/0.90 ------
% 0.49/0.90
% 0.49/0.90 ( 1) response(l2,l2) ?=? l2
% 0.49/0.90
% 0.49/0.90 Detected structure: Orkus
% 0.49/0.90 ********************************************************************************
% 0.49/0.90 ****************************** COMPLETION - PROOF ******************************
% 0.49/0.90 ********************************************************************************
% 0.49/0.90
% 0.49/0.90 joined goal: 1 response(l2,l2) ?= l2 to response(l2,lark)
% 0.49/0.90 goal joined
% 0.49/0.90 % SZS status Unsatisfiable
% 0.49/0.90 #START OF PROOF
% 0.49/0.90 % SZS output start CNFRefutation
% 0.49/0.90 cnf('0.1.0.0',axiom,
% 0.49/0.90 ( X1 = response(response(kestrel,X1),X2) ),
% 0.49/0.90 file('/tmp/WALDMEISTER_13043_n032')).
% 0.49/0.90 cnf('0.1.1.0',plain,
% 0.49/0.90 ( X1 = response(response(kestrel,X1),X2) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.49/0.90 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.49/0.90 cnf('0.1.2.0',plain,
% 0.49/0.90 ( response(response(kestrel,X1),X2) = X1 ),
% 0.49/0.90 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.49/0.90 [x,rule_1]).
% 0.49/0.90 cnf('0.2.0.0',axiom,
% 0.49/0.90 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.49/0.90 file('/tmp/WALDMEISTER_13043_n032')).
% 0.49/0.90 cnf('0.2.1.0',plain,
% 0.49/0.90 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.49/0.90 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.49/0.90 cnf('0.2.2.0',plain,
% 0.49/0.90 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.49/0.90 inference(activate,[status(thm)],['0.2.1.0']),
% 0.49/0.90 [equation_1]).
% 0.49/0.90 cnf('0.5.0.0',axiom,
% 0.49/0.90 ( response(lark,lark) = l2 ),
% 0.49/0.90 file('/tmp/WALDMEISTER_13043_n032')).
% 0.49/0.90 cnf('0.5.1.0',plain,
% 0.49/0.90 ( response(lark,lark) = l2 ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.49/0.90 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.49/0.90 cnf('0.5.2.0',plain,
% 0.49/0.90 ( response(lark,lark) = l2 ),
% 0.49/0.90 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_2]).
% 0.49/0.90 cnf('0.6.0.0',axiom,
% 0.49/0.90 ( response(l3,l3) = l3 ),
% 0.49/0.90 file('/tmp/WALDMEISTER_13043_n032')).
% 0.49/0.90 cnf('0.6.1.0',plain,
% 0.49/0.90 ( response(l3,l3) = l3 ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.49/0.90 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.49/0.90 cnf('0.6.2.0',plain,
% 0.49/0.90 ( response(l3,l3) = l3 ),
% 0.49/0.90 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_3]).
% 0.49/0.90 cnf('0.7.0.0',axiom,
% 0.49/0.90 ( response(l2,lark) = l3 ),
% 0.49/0.90 file('/tmp/WALDMEISTER_13043_n032')).
% 0.49/0.90 cnf('0.7.1.0',plain,
% 0.49/0.90 ( response(l2,lark) = l3 ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.49/0.90 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.49/0.90 cnf('0.7.2.0',plain,
% 0.49/0.90 ( response(l2,lark) = l3 ),
% 0.49/0.90 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_4]).
% 0.49/0.90 cnf('0.8.0.0',plain,
% 0.49/0.90 ( response(lark,response(X1,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.49/0.90 [pos('R.1','L')]).
% 0.49/0.90 cnf('0.8.1.0',plain,
% 0.49/0.90 ( response(lark,response(X1,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.49/0.90 [weight('<53,5,2,[0,0,1,1]>')]).
% 0.49/0.90 cnf('0.8.2.0',plain,
% 0.49/0.90 ( response(lark,response(X1,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_5]).
% 0.49/0.90 cnf('0.9.0.0',plain,
% 0.49/0.90 ( response(l2,lark) = response(lark,l2) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.8.2.0','0.5.2.0',theory(equality)]),
% 0.49/0.90 [pos('L.2','L')]).
% 0.49/0.90 cnf('0.9.0.1',plain,
% 0.49/0.90 ( l3 = response(lark,l2) ),
% 0.49/0.90 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.49/0.90 [pos('L','L')]).
% 0.49/0.90 cnf('0.9.1.0',plain,
% 0.49/0.90 ( l3 = response(lark,l2) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.49/0.90 [weight('<19,8,5,[1,0,0,2]>')]).
% 0.49/0.90 cnf('0.9.2.0',plain,
% 0.49/0.90 ( response(lark,l2) = l3 ),
% 0.49/0.90 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.49/0.90 [x,rule_6]).
% 0.49/0.90 cnf('0.10.0.0',plain,
% 0.49/0.90 ( response(l2,l3) = response(lark,l3) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.49/0.90 [pos('L.2','L')]).
% 0.49/0.90 cnf('0.10.1.0',plain,
% 0.49/0.90 ( response(l2,l3) = response(lark,l3) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.49/0.90 [weight('<27,8,6,[1,0,0,2]>')]).
% 0.49/0.90 cnf('0.10.2.0',plain,
% 0.49/0.90 ( response(lark,l3) = response(l2,l3) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.49/0.90 [x,rule_7]).
% 0.49/0.90 cnf('0.11.0.0',plain,
% 0.49/0.90 ( response(l2,response(kestrel,X1)) = response(lark,X1) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 0.49/0.90 [pos('L.2','L')]).
% 0.49/0.90 cnf('0.11.1.0',plain,
% 0.49/0.90 ( response(l2,response(kestrel,X1)) = response(lark,X1) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.49/0.90 [weight('<53,8,1,[1,0,0,2]>')]).
% 0.49/0.90 cnf('0.11.2.0',plain,
% 0.49/0.90 ( response(l2,response(kestrel,X1)) = response(lark,X1) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_8]).
% 0.49/0.90 cnf('0.12.0.0',plain,
% 0.49/0.90 ( response(l2,response(X1,X1)) = response(l3,X1) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 0.49/0.90 [pos('R.1','L')]).
% 0.49/0.90 cnf('0.12.1.0',plain,
% 0.49/0.90 ( response(l2,response(X1,X1)) = response(l3,X1) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.49/0.90 [weight('<53,9,2,[0,0,1,1]>')]).
% 0.49/0.90 cnf('0.12.2.0',plain,
% 0.49/0.90 ( response(l2,response(X1,X1)) = response(l3,X1) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_9]).
% 0.49/0.90 cnf('0.13.0.0',plain,
% 0.49/0.90 ( response(l3,l3) = response(l2,l3) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 0.49/0.90 [pos('L.2','L')]).
% 0.49/0.90 cnf('0.13.0.1',plain,
% 0.49/0.90 ( l3 = response(l2,l3) ),
% 0.49/0.90 inference(reduction,[status(thm)],['0.13.0.0','0.6.2.0',theory(equality)]),
% 0.49/0.90 [pos('L','L')]).
% 0.49/0.90 cnf('0.13.1.0',plain,
% 0.49/0.90 ( l3 = response(l2,l3) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.49/0.90 [weight('<19,12,6,[1,0,0,2]>')]).
% 0.49/0.90 cnf('0.13.2.0',plain,
% 0.49/0.90 ( response(l2,l3) = l3 ),
% 0.49/0.90 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.49/0.90 [x,rule_10]).
% 0.49/0.90 cnf('0.14.0.0',plain,
% 0.49/0.90 ( response(lark,l3) = response(l2,l3) ),
% 0.49/0.90 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.49/0.90 cnf('0.14.0.1',plain,
% 0.49/0.90 ( response(lark,l3) = l3 ),
% 0.49/0.90 inference(reduction,[status(thm)],['0.14.0.0','0.13.2.0',theory(equality)]),
% 0.49/0.90 [pos('R','L')]).
% 0.49/0.90 cnf('0.14.1.0',plain,
% 0.49/0.90 ( response(lark,l3) = l3 ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.49/0.90 [weight('<19,10,13,[0,0,0,0]>')]).
% 0.49/0.90 cnf('0.14.2.0',plain,
% 0.49/0.90 ( response(lark,l3) = l3 ),
% 0.49/0.90 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_11]).
% 0.49/0.90 cnf('0.15.0.0',plain,
% 0.49/0.90 ( response(l3,lark) = response(l2,l2) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.12.2.0','0.5.2.0',theory(equality)]),
% 0.49/0.90 [pos('L.2','L')]).
% 0.49/0.90 cnf('0.15.1.0',plain,
% 0.49/0.90 ( response(l3,lark) = response(l2,l2) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.49/0.90 [weight('<27,12,5,[1,0,0,2]>')]).
% 0.49/0.90 cnf('0.15.2.0',plain,
% 0.49/0.90 ( response(l3,lark) = response(l2,l2) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_12]).
% 0.49/0.90 cnf('0.17.0.0',plain,
% 0.49/0.90 ( response(l3,response(kestrel,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.12.2.0','0.1.2.0',theory(equality)]),
% 0.49/0.90 [pos('L.2','L')]).
% 0.49/0.90 cnf('0.17.1.0',plain,
% 0.49/0.90 ( response(l3,response(kestrel,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.49/0.90 [weight('<53,12,1,[1,0,0,2]>')]).
% 0.49/0.90 cnf('0.17.2.0',plain,
% 0.49/0.90 ( response(l3,response(kestrel,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_14]).
% 0.49/0.90 cnf('0.18.0.0',plain,
% 0.49/0.90 ( response(l3,response(X1,X1)) = response(l3,X1) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.2.2.0','0.14.2.0',theory(equality)]),
% 0.49/0.90 [pos('R.1','L')]).
% 0.49/0.90 cnf('0.18.1.0',plain,
% 0.49/0.90 ( response(l3,response(X1,X1)) = response(l3,X1) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.49/0.90 [weight('<53,14,2,[0,0,1,1]>')]).
% 0.49/0.90 cnf('0.18.2.0',plain,
% 0.49/0.90 ( response(l3,response(X1,X1)) = response(l3,X1) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_15]).
% 0.49/0.90 cnf('0.19.0.0',plain,
% 0.49/0.90 ( response(l3,response(kestrel,X1)) = response(l3,X1) ),
% 0.49/0.90 inference(cp,[status(thm)],['0.18.2.0','0.1.2.0',theory(equality)]),
% 0.49/0.90 [pos('L.2','L')]).
% 0.49/0.90 cnf('0.19.0.1',plain,
% 0.49/0.90 ( response(l2,X1) = response(l3,X1) ),
% 0.49/0.90 inference(reduction,[status(thm)],['0.19.0.0','0.17.2.0',theory(equality)]),
% 0.49/0.90 [pos('L','L')]).
% 0.49/0.90 cnf('0.19.1.0',plain,
% 0.49/0.90 ( response(l2,X1) = response(l3,X1) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.49/0.90 [weight('<27,18,1,[1,0,0,2]>')]).
% 0.49/0.90 cnf('0.19.2.0',plain,
% 0.49/0.90 ( response(l3,X1) = response(l2,X1) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.49/0.90 [x,rule_16]).
% 0.49/0.90 cnf('0.22.0.0',plain,
% 0.49/0.90 ( response(l3,response(kestrel,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.49/0.90 cnf('0.22.0.1',plain,
% 0.49/0.90 ( response(l2,response(kestrel,X1)) = response(l2,X1) ),
% 0.49/0.90 inference(reduction,[status(thm)],['0.22.0.0','0.19.2.0',theory(equality)]),
% 0.49/0.90 [pos('L','L')]).
% 0.49/0.90 cnf('0.22.0.2',plain,
% 0.49/0.90 ( response(lark,X1) = response(l2,X1) ),
% 0.49/0.90 inference(reduction,[status(thm)],['0.22.0.1','0.11.2.0',theory(equality)]),
% 0.49/0.90 [pos('L','L')]).
% 0.49/0.90 cnf('0.22.1.0',plain,
% 0.49/0.90 ( response(lark,X1) = response(l2,X1) ),
% 0.49/0.90 inference(weigh,[status(thm)],['0.22.0.2']),
% 0.49/0.90 [weight('<27,17,19,[0,0,0,0]>')]).
% 0.49/0.90 cnf('0.22.2.0',plain,
% 0.49/0.90 ( response(lark,X1) = response(l2,X1) ),
% 0.49/0.90 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.49/0.90 [u,rule_19]).
% 0.49/0.90 cnf('1.0.0.0',conjecture,
% 0.49/0.90 ( response(l2,l2) = l2 ),
% 0.49/0.90 file('/tmp/WALDMEISTER_13043_n032',conjecture_1)).
% 0.49/0.90 cnf('1.0.0.1',plain,
% 0.49/0.90 ( response(l2,l2) = response(lark,lark) ),
% 0.49/0.90 inference(reduction,[status(thm)],['1.0.0.0','0.5.2.0',theory(equality)]),
% 0.49/0.90 [pos('R','R')]).
% 0.49/0.90 cnf('1.0.0.2',plain,
% 0.49/0.90 ( response(l3,lark) = response(lark,lark) ),
% 0.49/0.90 inference(reduction,[status(thm)],['1.0.0.1','0.15.2.0',theory(equality)]),
% 0.49/0.90 [pos('L','R')]).
% 0.49/0.90 cnf('1.0.0.3',plain,
% 0.49/0.90 ( response(l2,lark) = response(lark,lark) ),
% 0.49/0.90 inference(reduction,[status(thm)],['1.0.0.2','0.19.2.0',theory(equality)]),
% 0.49/0.90 [pos('L','L')]).
% 0.49/0.90 cnf('1.0.0.4',plain,
% 0.49/0.90 ( response(l2,lark) = response(l2,lark) ),
% 0.49/0.90 inference(reduction,[status(thm)],['1.0.0.3','0.22.2.0',theory(equality)]),
% 0.49/0.90 [pos('R','L')]).
% 0.49/0.90 cnf('1.0.0.5',plain,
% 0.49/0.90 ( $true ),
% 0.49/0.90 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.49/0.90 [conjecture_1]).
% 0.49/0.90
% 0.49/0.90 Proved Goals:
% 0.49/0.90 No. 1: response(l2,l2) ?= l2 joined, current: response(l2,lark) = response(l2,lark)
% 0.49/0.90 1 goal was specified, which was proved.
% 0.49/0.90 % SZS output end CNFRefutation
% 0.49/0.90 #END OF PROOF
% 0.49/0.90
% 0.49/0.90 Problem WALDMEISTER_13043_n032
% 0.49/0.90 CPs.gen 63
% 0.49/0.90 CPs.reexp 0
% 0.49/0.90 Select 22
% 0.49/0.90 R 19
% 0.49/0.90 E 3
% 0.49/0.90 vsize 6.5M
% 0.49/0.90 rss 3.8M
% 0.49/0.90 process.time 0.002s
% 0.49/0.90 wallclock.time 0.002s
% 0.49/0.90 status S
% 0.49/0.90
% 0.49/0.90
% 0.49/0.90 Waldmeister states: Goal proved.
% 0.49/0.90 % SZS status Unsatisfiable
%------------------------------------------------------------------------------