TSTP Solution File: COL052-1 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : woody %s

% Computer : n023.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 0.60s 1.01s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : woody %s
% 0.13/0.34  % Computer : n023.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 06:31:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.60/1.01  ********************************************************************************
% 0.60/1.01  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.60/1.01  *                                                              |/  |    \/  |  *
% 0.60/1.01  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.60/1.01  *                             A. Jaeger and B. Loechner          |        |    *
% 0.60/1.01  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.60/1.01  ********************************************************************************
% 0.60/1.01  
% 0.60/1.01  
% 0.60/1.01  Goals:
% 0.60/1.01  ------
% 0.60/1.01  
% 0.60/1.01  (   1)  true ?= false
% 0.60/1.01          using narrowing to prove response(a,x1) ?= response(odd_bird,x1)
% 0.60/1.01  
% 0.60/1.01  Detected structure: Orkus
% 0.60/1.01  ********************************************************************************
% 0.60/1.01  ****************************** COMPLETION - PROOF ******************************
% 0.60/1.01  ********************************************************************************
% 0.60/1.01  
% 0.60/1.01  joined goal:           1  response(a,x1) ?= response(odd_bird,x1) to false
% 0.60/1.01  goal joined
% 0.60/1.01  % SZS status Unsatisfiable
% 0.60/1.01  #START OF PROOF
% 0.60/1.01  % SZS output start CNFRefutation
% 0.60/1.01  cnf('0.1.0.0',axiom,
% 0.60/1.01      ( response(X1,response(X2,X3)) = response(compose(X1,X2),X3) ),
% 0.60/1.01      file('/tmp/WALDMEISTER_10588_n023')).
% 0.60/1.01  cnf('0.1.1.0',plain,
% 0.60/1.01      ( response(X1,response(X2,X3)) = response(compose(X1,X2),X3) ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.01      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.01  cnf('0.1.2.0',plain,
% 0.60/1.01      ( response(compose(X1,X2),X3) = response(X1,response(X2,X3)) ),
% 0.60/1.01      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.01      [x,rule_1]).
% 0.60/1.01  cnf('0.2.0.0',axiom,
% 0.60/1.01      ( response(X1,common_bird(X1)) = response(c,common_bird(X1)) ),
% 0.60/1.01      file('/tmp/WALDMEISTER_10588_n023')).
% 0.60/1.01  cnf('0.2.1.0',plain,
% 0.60/1.01      ( response(X1,common_bird(X1)) = response(c,common_bird(X1)) ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.01      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.01  cnf('0.2.2.0',plain,
% 0.60/1.01      ( response(X1,common_bird(X1)) = response(c,common_bird(X1)) ),
% 0.60/1.01      inference(activate,[status(thm)],['0.2.1.0']),
% 0.60/1.01      [equation_1]).
% 0.60/1.01  cnf('0.3.0.0',axiom,
% 0.60/1.01      ( c = compose(a,b) ),
% 0.60/1.01      file('/tmp/WALDMEISTER_10588_n023')).
% 0.60/1.01  cnf('0.3.1.0',plain,
% 0.60/1.01      ( c = compose(a,b) ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.01      [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.01  cnf('0.3.2.0',plain,
% 0.60/1.01      ( compose(a,b) = c ),
% 0.60/1.01      inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/1.01      [x,rule_2]).
% 0.60/1.01  cnf('0.4.0.0',axiom,
% 0.60/1.01      ( eq(X1,X1) = true ),
% 0.60/1.01      file('/tmp/WALDMEISTER_10588_n023')).
% 0.60/1.01  cnf('0.4.1.0',plain,
% 0.60/1.01      ( eq(X1,X1) = true ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/1.01      [weight('<3,0,0,[0,0,0,4]>')]).
% 0.60/1.01  cnf('0.4.2.0',plain,
% 0.60/1.01      ( eq(X1,X1) = true ),
% 0.60/1.01      inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.60/1.01      [u,rule_3]).
% 0.60/1.01  cnf('0.5.0.0',axiom,
% 0.60/1.01      ( eq(response(a,X1),response(odd_bird,X1)) = false ),
% 0.60/1.01      file('/tmp/WALDMEISTER_10588_n023')).
% 0.60/1.01  cnf('0.5.1.0',plain,
% 0.60/1.01      ( eq(response(a,X1),response(odd_bird,X1)) = false ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/1.01      [weight('<4,0,0,[0,0,0,5]>')]).
% 0.60/1.01  cnf('0.5.2.0',plain,
% 0.60/1.01      ( eq(response(a,X1),response(odd_bird,X1)) = false ),
% 0.60/1.01      inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.01      [u,rule_4]).
% 0.60/1.01  cnf('0.6.0.0',plain,
% 0.60/1.01      ( response(a,response(b,X1)) = response(c,X1) ),
% 0.60/1.01      inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.01      [pos('L.1','L')]).
% 0.60/1.01  cnf('0.6.1.0',plain,
% 0.60/1.01      ( response(a,response(b,X1)) = response(c,X1) ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.01      [weight('<53,3,1,[0,0,0,1]>')]).
% 0.60/1.01  cnf('0.6.2.0',plain,
% 0.60/1.01      ( response(a,response(b,X1)) = response(c,X1) ),
% 0.60/1.01      inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.01      [u,rule_5]).
% 0.60/1.01  cnf('0.7.0.0',plain,
% 0.60/1.01      ( false = eq(response(c,X1),response(odd_bird,response(b,X1))) ),
% 0.60/1.01      inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 0.60/1.01      [pos('L.1','L')]).
% 0.60/1.01  cnf('0.7.1.0',plain,
% 0.60/1.01      ( false = eq(response(c,X1),response(odd_bird,response(b,X1))) ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.7.0.0']),
% 0.60/1.01      [weight('<48,6,5,[0,0,0,1]>')]).
% 0.60/1.01  cnf('0.7.2.0',plain,
% 0.60/1.01      ( eq(response(c,X1),response(odd_bird,response(b,X1))) = false ),
% 0.60/1.01      inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.60/1.01      [x,rule_6]).
% 0.60/1.01  cnf('0.8.0.0',plain,
% 0.60/1.01      ( response(c,common_bird(compose(X1,X2))) = response(X1,response(X2,common_bird(compose(X1,X2)))) ),
% 0.60/1.01      inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.01      [pos('L','L')]).
% 0.60/1.01  cnf('0.8.1.0',plain,
% 0.60/1.01      ( response(c,common_bird(compose(X1,X2))) = response(X1,response(X2,common_bird(compose(X1,X2)))) ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.01      [weight('<134,2,1,[1,0,0,0]>')]).
% 0.60/1.01  cnf('0.8.2.0',plain,
% 0.60/1.01      ( response(X1,response(X2,common_bird(compose(X1,X2)))) = response(c,common_bird(compose(X1,X2))) ),
% 0.60/1.01      inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/1.01      [x,rule_7]).
% 0.60/1.01  cnf('0.10.0.0',plain,
% 0.60/1.01      ( false = eq(response(c,common_bird(compose(odd_bird,b))),response(c,common_bird(compose(odd_bird,b)))) ),
% 0.60/1.01      inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.60/1.01      [pos('L.2','L')]).
% 0.60/1.01  cnf('0.10.0.1',plain,
% 0.60/1.01      ( false = true ),
% 0.60/1.01      inference(reduction,[status(thm)],['0.10.0.0','0.4.2.0',theory(equality)]),
% 0.60/1.01      [pos('R','L')]).
% 0.60/1.01  cnf('0.10.1.0',plain,
% 0.60/1.01      ( false = true ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.10.0.1']),
% 0.60/1.01      [weight('<5,8,7,[0,0,0,4]>')]).
% 0.60/1.01  cnf('0.10.2.0',plain,
% 0.60/1.01      ( true = false ),
% 0.60/1.01      inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.60/1.01      [x,rule_9]).
% 0.60/1.01  cnf('1.0.0.0',conjecture,
% 0.60/1.01      ( true = false ),
% 0.60/1.01      file('/tmp/WALDMEISTER_10588_n023',conjecture_1)).
% 0.60/1.01  cnf('1.0.0.1',plain,
% 0.60/1.01      ( false = false ),
% 0.60/1.01      inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.60/1.01      [pos('L','L')]).
% 0.60/1.01  cnf('1.0.0.2',plain,
% 0.60/1.01      ( $true ),
% 0.60/1.01      inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/1.01      [conjecture_1]).
% 0.60/1.01  
% 0.60/1.01  Proved Goals:
% 0.60/1.01  No.  1: true ?= false, current false ?= false
% 0.60/1.01          using narrowing to prove response(a,x1) ?= response(odd_bird,x1)
% 0.60/1.01  
% 0.60/1.01  1 goal was specified, which was proved.
% 0.60/1.01  % SZS output end CNFRefutation
% 0.60/1.01  #END OF PROOF
% 0.60/1.01  
% 0.60/1.01  Problem         WALDMEISTER_10588_n023 
% 0.60/1.01  CPs.gen                   23 
% 0.60/1.01  CPs.reexp                  0 
% 0.60/1.01  Select                    10 
% 0.60/1.01  R                          9 
% 0.60/1.01  E                          1 
% 0.60/1.01  vsize                   6.5M 
% 0.60/1.01  rss                     3.8M 
% 0.60/1.01  process.time          0.002s 
% 0.60/1.01  wallclock.time        0.002s 
% 0.60/1.01  status                     S
% 0.60/1.01  
% 0.60/1.01  
% 0.60/1.01  Waldmeister states: Goal proved.
% 0.60/1.01  % SZS status Unsatisfiable
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