TSTP Solution File: LCL186-10 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : LCL186-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : woody %s

% Computer : n018.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 : Sun Jul 17 16:04:09 EDT 2022

% Result   : Unsatisfiable 0.62s 0.99s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL186-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : woody %s
% 0.13/0.34  % Computer : n018.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 : Mon Jul  4 03:51:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.58/0.98  ********************************************************************************
% 0.58/0.98  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.58/0.98  *                                                              |/  |    \/  |  *
% 0.58/0.98  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.58/0.98  *                             A. Jaeger and B. Loechner          |        |    *
% 0.58/0.98  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.58/0.98  ********************************************************************************
% 0.58/0.98  
% 0.58/0.98  
% 0.58/0.98  Goals:
% 0.58/0.98  ------
% 0.58/0.98  
% 0.58/0.98  (   1)  true ?=? theorem(or(not(not(p)),or(not(p),q)))
% 0.58/0.98  
% 0.58/0.98  Detected structure: Orkus
% 0.58/0.98  ********************************************************************************
% 0.58/0.98  ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98  ********************************************************************************
% 0.58/0.98  
% 0.62/0.99  joined goal:             1  true ?= theorem(or(not(not(p)),or(not(p),q))) to true
% 0.62/0.99  goal joined
% 0.62/0.99  % SZS status Unsatisfiable
% 0.62/0.99  #START OF PROOF
% 0.62/0.99  % SZS output start CNFRefutation
% 0.62/0.99  cnf('0.1.0.0',axiom,
% 0.62/0.99      ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.62/0.99      file('/tmp/WALDMEISTER_24718_n018')).
% 0.62/0.99  cnf('0.1.1.0',plain,
% 0.62/0.99      ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/0.99      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/0.99  cnf('0.1.2.0',plain,
% 0.62/0.99      ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.62/0.99      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_1]).
% 0.62/0.99  cnf('0.2.0.0',axiom,
% 0.62/0.99      ( true = axiom(or(not(X1),or(X2,X1))) ),
% 0.62/0.99      file('/tmp/WALDMEISTER_24718_n018')).
% 0.62/0.99  cnf('0.2.1.0',plain,
% 0.62/0.99      ( true = axiom(or(not(X1),or(X2,X1))) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/0.99      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/0.99  cnf('0.2.2.0',plain,
% 0.62/0.99      ( axiom(or(not(X1),or(X2,X1))) = true ),
% 0.62/0.99      inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_2]).
% 0.62/0.99  cnf('0.3.0.0',axiom,
% 0.62/0.99      ( true = axiom(or(not(or(X1,X2)),or(X2,X1))) ),
% 0.62/0.99      file('/tmp/WALDMEISTER_24718_n018')).
% 0.62/0.99  cnf('0.3.1.0',plain,
% 0.62/0.99      ( true = axiom(or(not(or(X1,X2)),or(X2,X1))) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/0.99      [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/0.99  cnf('0.3.2.0',plain,
% 0.62/0.99      ( axiom(or(not(or(X1,X2)),or(X2,X1))) = true ),
% 0.62/0.99      inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_3]).
% 0.62/0.99  cnf('0.7.0.0',axiom,
% 0.62/0.99      ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 0.62/0.99      file('/tmp/WALDMEISTER_24718_n018')).
% 0.62/0.99  cnf('0.7.1.0',plain,
% 0.62/0.99      ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/0.99      [weight('<6,0,0,[0,0,0,7]>')]).
% 0.62/0.99  cnf('0.7.2.0',plain,
% 0.62/0.99      ( ifeq(axiom(X1),true,theorem(X1),true) = true ),
% 0.62/0.99      inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_7]).
% 0.62/0.99  cnf('0.9.0.0',axiom,
% 0.62/0.99      ( true = ifeq(theorem(or(not(X1),X2)),true,ifeq(axiom(or(not(X3),X1)),true,theorem(or(not(X3),X2)),true),true) ),
% 0.62/0.99      file('/tmp/WALDMEISTER_24718_n018')).
% 0.62/0.99  cnf('0.9.1.0',plain,
% 0.62/0.99      ( true = ifeq(theorem(or(not(X1),X2)),true,ifeq(axiom(or(not(X3),X1)),true,theorem(or(not(X3),X2)),true),true) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/0.99      [weight('<8,0,0,[0,0,0,9]>')]).
% 0.62/0.99  cnf('0.9.2.0',plain,
% 0.62/0.99      ( ifeq(theorem(or(not(X1),X2)),true,ifeq(axiom(or(not(X3),X1)),true,theorem(or(not(X3),X2)),true),true) = true ),
% 0.62/0.99      inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_9]).
% 0.62/0.99  cnf('0.12.0.0',plain,
% 0.62/0.99      ( true = ifeq(true,true,theorem(or(not(or(X1,X2)),or(X2,X1))),true) ),
% 0.62/0.99      inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.62/0.99      [pos('L.1','L')]).
% 0.62/0.99  cnf('0.12.0.1',plain,
% 0.62/0.99      ( true = theorem(or(not(or(X1,X2)),or(X2,X1))) ),
% 0.62/0.99      inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.62/0.99      [pos('R','L')]).
% 0.62/0.99  cnf('0.12.1.0',plain,
% 0.62/0.99      ( true = theorem(or(not(or(X1,X2)),or(X2,X1))) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.12.0.1']),
% 0.62/0.99      [weight('<109,7,3,[1,0,0,1]>')]).
% 0.62/0.99  cnf('0.12.2.0',plain,
% 0.62/0.99      ( theorem(or(not(or(X1,X2)),or(X2,X1))) = true ),
% 0.62/0.99      inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_12]).
% 0.62/0.99  cnf('0.159.0.0',plain,
% 0.62/0.99      ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,ifeq(true,true,theorem(or(not(X2),X3)),true),true) ),
% 0.62/0.99      inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.62/0.99      [pos('L.3.1','L')]).
% 0.62/0.99  cnf('0.159.0.1',plain,
% 0.62/0.99      ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true) ),
% 0.62/0.99      inference(reduction,[status(thm)],['0.159.0.0','0.1.2.0',theory(equality)]),
% 0.62/0.99      [pos('R.3','L')]).
% 0.62/0.99  cnf('0.159.1.0',plain,
% 0.62/0.99      ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.159.0.1']),
% 0.62/0.99      [weight('<?,9,2,[1,0,0,8]>')]).
% 0.62/0.99  cnf('0.159.2.0',plain,
% 0.62/0.99      ( ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true) = true ),
% 0.62/0.99      inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_159]).
% 0.62/0.99  cnf('0.160.0.0',plain,
% 0.62/0.99      ( true = ifeq(true,true,theorem(or(not(X1),or(X1,X2))),true) ),
% 0.62/0.99      inference(cp,[status(thm)],['0.159.2.0','0.12.2.0',theory(equality)]),
% 0.62/0.99      [pos('L.1','L')]).
% 0.62/0.99  cnf('0.160.0.1',plain,
% 0.62/0.99      ( true = theorem(or(not(X1),or(X1,X2))) ),
% 0.62/0.99      inference(reduction,[status(thm)],['0.160.0.0','0.1.2.0',theory(equality)]),
% 0.62/0.99      [pos('R','L')]).
% 0.62/0.99  cnf('0.160.1.0',plain,
% 0.62/0.99      ( true = theorem(or(not(X1),or(X1,X2))) ),
% 0.62/0.99      inference(weigh,[status(thm)],['0.160.0.1']),
% 0.62/0.99      [weight('<71,159,12,[1,0,0,1]>')]).
% 0.62/0.99  cnf('0.160.2.0',plain,
% 0.62/0.99      ( theorem(or(not(X1),or(X1,X2))) = true ),
% 0.62/0.99      inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 0.62/0.99      [x,rule_160]).
% 0.62/0.99  cnf('1.0.0.0',conjecture,
% 0.62/0.99      ( true = theorem(or(not(not(p)),or(not(p),q))) ),
% 0.62/0.99      file('/tmp/WALDMEISTER_24718_n018',conjecture_1)).
% 0.62/0.99  cnf('1.0.0.1',plain,
% 0.62/0.99      ( true = true ),
% 0.62/0.99      inference(reduction,[status(thm)],['1.0.0.0','0.160.2.0',theory(equality)]),
% 0.62/0.99      [pos('R','L')]).
% 0.62/0.99  cnf('1.0.0.2',plain,
% 0.62/0.99      ( $true ),
% 0.62/0.99      inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/0.99      [conjecture_1]).
% 0.62/0.99  
% 0.62/0.99  Proved Goals:
% 0.62/0.99  No.  1:  true ?= theorem(or(not(not(p)),or(not(p),q))) joined, current: true = true
% 0.62/0.99  1 goal was specified, which was proved.
% 0.62/0.99  % SZS output end CNFRefutation
% 0.62/0.99  #END OF PROOF
% 0.62/0.99  
% 0.62/0.99  Problem         WALDMEISTER_24718_n018 
% 0.62/0.99  CPs.gen                 7114 
% 0.62/0.99  CPs.reexp                  0 
% 0.62/0.99  Select                   193 
% 0.62/0.99  R                        160 
% 0.62/0.99  E                          0 
% 0.62/0.99  vsize                   6.6M 
% 0.62/0.99  rss                     3.8M 
% 0.62/0.99  process.time          0.013s 
% 0.62/0.99  wallclock.time        0.013s 
% 0.62/0.99  status                     S
% 0.62/0.99  
% 0.62/0.99  
% 0.62/0.99  Waldmeister states: Goal proved.
% 0.62/0.99  % SZS status Unsatisfiable
%------------------------------------------------------------------------------