TSTP Solution File: COM010-2 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% 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 01:51:21 EDT 2022

% Result   : Unsatisfiable 0.60s 1.00s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : woody %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 17:02:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.60/1.00  ********************************************************************************
% 0.60/1.00  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.60/1.00  *                                                              |/  |    \/  |  *
% 0.60/1.00  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.60/1.00  *                             A. Jaeger and B. Loechner          |        |    *
% 0.60/1.00  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.60/1.00  ********************************************************************************
% 0.60/1.00  
% 0.60/1.00  
% 0.60/1.00  Goals:
% 0.60/1.00  ------
% 0.60/1.00  
% 0.60/1.00  (   1)  v_F ?=? v_G
% 0.60/1.00  
% 0.60/1.00  Detected structure: Orkus
% 0.60/1.00  ********************************************************************************
% 0.60/1.00  ****************************** COMPLETION - PROOF ******************************
% 0.60/1.00  ********************************************************************************
% 0.60/1.00  
% 0.60/1.00  joined goal:             1  v_F ?= v_G to v_G
% 0.60/1.00  goal joined
% 0.60/1.00  % SZS status Unsatisfiable
% 0.60/1.00  #START OF PROOF
% 0.60/1.00  % SZS output start CNFRefutation
% 0.60/1.00  cnf('0.1.0.0',axiom,
% 0.60/1.00      ( X1 = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X1,X2),c_Pair(c_UNITY_OActs(X1,X2),c_UNITY_OAllowedActs(X1,X2),tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2)))),tc_set(X2),tc_prod(tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2))))),X2) ),
% 0.60/1.00      file('/tmp/WALDMEISTER_12194_n026')).
% 0.60/1.00  cnf('0.1.1.0',plain,
% 0.60/1.00      ( X1 = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X1,X2),c_Pair(c_UNITY_OActs(X1,X2),c_UNITY_OAllowedActs(X1,X2),tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2)))),tc_set(X2),tc_prod(tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2))))),X2) ),
% 0.60/1.00      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.00      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.00  cnf('0.1.2.0',plain,
% 0.60/1.00      ( c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X1,X2),c_Pair(c_UNITY_OActs(X1,X2),c_UNITY_OAllowedActs(X1,X2),tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2)))),tc_set(X2),tc_prod(tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2))))),X2) = X1 ),
% 0.60/1.00      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.00      [x,rule_1]).
% 0.60/1.00  cnf('0.2.0.0',axiom,
% 0.60/1.00      ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 0.60/1.00      file('/tmp/WALDMEISTER_12194_n026')).
% 0.60/1.00  cnf('0.2.1.0',plain,
% 0.60/1.00      ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 0.60/1.00      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.00      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.00  cnf('0.2.2.0',plain,
% 0.60/1.00      ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 0.60/1.00      inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/1.00      [u,rule_2]).
% 0.60/1.00  cnf('0.3.0.0',axiom,
% 0.60/1.00      ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 0.60/1.00      file('/tmp/WALDMEISTER_12194_n026')).
% 0.60/1.00  cnf('0.3.1.0',plain,
% 0.60/1.00      ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 0.60/1.00      inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.00      [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.00  cnf('0.3.2.0',plain,
% 0.60/1.00      ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 0.60/1.00      inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/1.00      [u,rule_3]).
% 0.60/1.00  cnf('0.4.0.0',axiom,
% 0.60/1.00      ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 0.60/1.00      file('/tmp/WALDMEISTER_12194_n026')).
% 0.60/1.00  cnf('0.4.1.0',plain,
% 0.60/1.00      ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 0.60/1.00      inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/1.00      [weight('<3,0,0,[0,0,0,4]>')]).
% 0.60/1.00  cnf('0.4.2.0',plain,
% 0.60/1.00      ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 0.60/1.00      inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.60/1.00      [u,rule_4]).
% 0.60/1.00  cnf('0.5.0.0',plain,
% 0.60/1.00      ( v_F = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a) ),
% 0.60/1.00      inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.60/1.00      [pos('L.1.2.2','L')]).
% 0.60/1.00  cnf('0.5.0.1',plain,
% 0.60/1.00      ( v_F = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a) ),
% 0.60/1.00      inference(reduction,[status(thm)],['0.5.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.00      [pos('R.1.1','L')]).
% 0.60/1.00  cnf('0.5.0.2',plain,
% 0.60/1.00      ( v_F = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,t_a),c_Pair(c_UNITY_OActs(v_G,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a) ),
% 0.60/1.01      inference(reduction,[status(thm)],['0.5.0.1','0.3.2.0',theory(equality)]),
% 0.60/1.01      [pos('R.1.2.1','L')]).
% 0.60/1.01  cnf('0.5.0.3',plain,
% 0.60/1.01      ( v_F = v_G ),
% 0.60/1.01      inference(reduction,[status(thm)],['0.5.0.2','0.1.2.0',theory(equality)]),
% 0.60/1.01      [pos('R','L')]).
% 0.60/1.01  cnf('0.5.1.0',plain,
% 0.60/1.01      ( v_F = v_G ),
% 0.60/1.01      inference(weigh,[status(thm)],['0.5.0.3']),
% 0.60/1.01      [weight('<5,4,1,[0,0,0,9]>')]).
% 0.60/1.01  cnf('0.5.2.0',plain,
% 0.60/1.01      ( v_F = v_G ),
% 0.60/1.01      inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.01      [u,rule_5]).
% 0.60/1.01  cnf('1.0.0.0',conjecture,
% 0.60/1.01      ( v_F = v_G ),
% 0.60/1.01      file('/tmp/WALDMEISTER_12194_n026',conjecture_1)).
% 0.60/1.01  cnf('1.0.0.1',plain,
% 0.60/1.01      ( v_G = v_G ),
% 0.60/1.01      inference(reduction,[status(thm)],['1.0.0.0','0.5.2.0',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:  v_F ?= v_G joined, current: v_G = v_G
% 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_12194_n026 
% 0.60/1.01  CPs.gen                    3 
% 0.60/1.01  CPs.reexp                  0 
% 0.60/1.01  Select                     5 
% 0.60/1.01  R                          5 
% 0.60/1.01  E                          0 
% 0.60/1.01  vsize                   6.6M 
% 0.60/1.01  rss                     3.6M 
% 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
%------------------------------------------------------------------------------