TSTP Solution File: ROB005-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ROB005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 : Mon Jul 18 20:57:12 EDT 2022
% Result : Unsatisfiable 0.63s 1.24s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ROB005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 14:49:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.60/0.97 ********************************************************************************
% 0.60/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.97 * |/ | \/ | *
% 0.60/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.97 * A. Jaeger and B. Loechner | | *
% 0.60/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.97 ********************************************************************************
% 0.60/0.97
% 0.60/0.97
% 0.60/0.97 Goals:
% 0.60/0.97 ------
% 0.60/0.97
% 0.60/0.97 ( 1) add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?=? b
% 0.60/0.97
% 0.60/0.97 Detected structure: RobbinsAlgebra
% 0.60/0.97 ********************************************************************************
% 0.60/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.97 ********************************************************************************
% 0.60/0.97
% 0.63/1.24 joined goal: 1 add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?= b to b
% 0.63/1.24 goal joined
% 0.63/1.24 % SZS status Unsatisfiable
% 0.63/1.24 #START OF PROOF
% 0.63/1.24 % SZS output start CNFRefutation
% 0.63/1.24 cnf('0.1.0.0',axiom,
% 0.63/1.24 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.63/1.24 file('/tmp/WALDMEISTER_4627_n027')).
% 0.63/1.24 cnf('0.1.1.0',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.24 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.24 cnf('0.1.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1 ),
% 0.63/1.24 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_1]).
% 0.63/1.24 cnf('0.2.0.0',axiom,
% 0.63/1.24 ( add(X1,X2) = add(X2,X1) ),
% 0.63/1.24 file('/tmp/WALDMEISTER_4627_n027')).
% 0.63/1.24 cnf('0.2.1.0',plain,
% 0.63/1.24 ( add(X1,X2) = add(X2,X1) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.24 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.24 cnf('0.2.2.0',plain,
% 0.63/1.24 ( add(X1,X2) = add(X2,X1) ),
% 0.63/1.24 inference(activate,[status(thm)],['0.2.1.0']),
% 0.63/1.24 [equation_1]).
% 0.63/1.24 cnf('0.3.0.0',axiom,
% 0.63/1.24 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.63/1.24 file('/tmp/WALDMEISTER_4627_n027')).
% 0.63/1.24 cnf('0.3.1.0',plain,
% 0.63/1.24 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.24 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.63/1.24 cnf('0.3.2.0',plain,
% 0.63/1.24 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_2]).
% 0.63/1.24 cnf('0.4.0.0',axiom,
% 0.63/1.24 ( add(c,c) = c ),
% 0.63/1.24 file('/tmp/WALDMEISTER_4627_n027')).
% 0.63/1.24 cnf('0.4.1.0',plain,
% 0.63/1.24 ( add(c,c) = c ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.24 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.63/1.24 cnf('0.4.2.0',plain,
% 0.63/1.24 ( add(c,c) = c ),
% 0.63/1.24 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.24 [u,rule_3]).
% 0.63/1.24 cnf('0.5.0.0',plain,
% 0.63/1.24 ( add(c,add(c,X1)) = add(c,X1) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1','L')]).
% 0.63/1.24 cnf('0.5.1.0',plain,
% 0.63/1.24 ( add(c,add(c,X1)) = add(c,X1) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.24 [weight('<25,4,3,[0,0,0,1]>')]).
% 0.63/1.24 cnf('0.5.2.0',plain,
% 0.63/1.24 ( add(c,add(c,X1)) = add(c,X1) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.24 [u,rule_4]).
% 0.63/1.24 cnf('0.6.0.0',plain,
% 0.63/1.24 ( add(c,X1) = add(c,add(X1,c)) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.2','L')]).
% 0.63/1.24 cnf('0.6.1.0',plain,
% 0.63/1.24 ( add(c,X1) = add(c,add(X1,c)) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.63/1.24 [weight('<25,5,2,[1,0,0,2]>')]).
% 0.63/1.24 cnf('0.6.2.0',plain,
% 0.63/1.24 ( add(c,add(X1,c)) = add(c,X1) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_5]).
% 0.63/1.24 cnf('0.7.0.0',plain,
% 0.63/1.24 ( c = negate(add(negate(c),negate(add(c,negate(c))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1','L')]).
% 0.63/1.24 cnf('0.7.1.0',plain,
% 0.63/1.24 ( c = negate(add(negate(c),negate(add(c,negate(c))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.24 [weight('<29,4,1,[0,0,0,3]>')]).
% 0.63/1.24 cnf('0.7.2.0',plain,
% 0.63/1.24 ( negate(add(negate(c),negate(add(c,negate(c))))) = c ),
% 0.63/1.24 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_6]).
% 0.63/1.24 cnf('0.8.0.0',plain,
% 0.63/1.24 ( add(c,add(add(X1,c),X2)) = add(add(c,X1),X2) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1','L')]).
% 0.63/1.24 cnf('0.8.0.1',plain,
% 0.63/1.24 ( add(c,add(X1,add(c,X2))) = add(add(c,X1),X2) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.8.0.0','0.3.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.2','L')]).
% 0.63/1.24 cnf('0.8.0.2',plain,
% 0.63/1.24 ( add(c,add(X1,add(c,X2))) = add(c,add(X1,X2)) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.8.0.1','0.3.2.0',theory(equality)]),
% 0.63/1.24 [pos('R','L')]).
% 0.63/1.24 cnf('0.8.1.0',plain,
% 0.63/1.24 ( add(c,add(X1,add(c,X2))) = add(c,add(X1,X2)) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.8.0.2']),
% 0.63/1.24 [weight('<35,6,3,[0,0,0,1]>')]).
% 0.63/1.24 cnf('0.8.2.0',plain,
% 0.63/1.24 ( add(c,add(X1,add(c,X2))) = add(c,add(X1,X2)) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.63/1.24 [u,rule_7]).
% 0.63/1.24 cnf('0.10.0.0',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1','L')]).
% 0.63/1.24 cnf('0.10.1.0',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.63/1.24 [weight('<39,2,1,[0,0,0,3]>')]).
% 0.63/1.24 cnf('0.10.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2 ),
% 0.63/1.24 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_9]).
% 0.63/1.24 cnf('0.12.0.0',plain,
% 0.63/1.24 ( negate(c) = negate(add(negate(add(negate(c),add(c,negate(c)))),c)) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2','L')]).
% 0.63/1.24 cnf('0.12.1.0',plain,
% 0.63/1.24 ( negate(c) = negate(add(negate(add(negate(c),add(c,negate(c)))),c)) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.63/1.24 [weight('<39,7,1,[0,0,0,6]>')]).
% 0.63/1.24 cnf('0.12.1.1',plain,
% 0.63/1.24 ( negate(c) = negate(add(c,negate(add(negate(c),add(c,negate(c)))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.12.1.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1','L')]).
% 0.63/1.24 cnf('0.12.2.0',plain,
% 0.63/1.24 ( negate(add(c,negate(add(negate(c),add(c,negate(c)))))) = negate(c) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.12.1.1',theory(equality)]),
% 0.63/1.24 [x,rule_11]).
% 0.63/1.24 cnf('0.13.0.0',plain,
% 0.63/1.24 ( negate(add(X1,X2)) = negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1','L')]).
% 0.63/1.24 cnf('0.13.1.0',plain,
% 0.63/1.24 ( negate(add(X1,X2)) = negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.63/1.24 [weight('<?,1,1,[0,0,0,2]>')]).
% 0.63/1.24 cnf('0.13.2.0',plain,
% 0.63/1.24 ( negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) = negate(add(X1,X2)) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_12]).
% 0.63/1.24 cnf('0.14.0.0',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2.1','L')]).
% 0.63/1.24 cnf('0.14.1.0',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.63/1.24 [weight('<39,10,2,[1,0,0,7]>')]).
% 0.63/1.24 cnf('0.14.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,X2)),negate(add(negate(X1),X2)))) = X2 ),
% 0.63/1.24 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_13]).
% 0.63/1.24 cnf('0.15.0.0',plain,
% 0.63/1.24 ( negate(c) = negate(add(negate(add(add(c,negate(c)),negate(c))),c)) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.10.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2','L')]).
% 0.63/1.24 cnf('0.15.0.1',plain,
% 0.63/1.24 ( negate(c) = negate(add(negate(add(c,add(negate(c),negate(c)))),c)) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.15.0.0','0.3.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.1.1','L')]).
% 0.63/1.24 cnf('0.15.1.0',plain,
% 0.63/1.24 ( negate(c) = negate(add(negate(add(c,add(negate(c),negate(c)))),c)) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.63/1.24 [weight('<39,10,7,[1,0,0,6]>')]).
% 0.63/1.24 cnf('0.15.1.1',plain,
% 0.63/1.24 ( negate(c) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.15.1.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1','L')]).
% 0.63/1.24 cnf('0.15.2.0',plain,
% 0.63/1.24 ( negate(add(c,negate(add(c,add(negate(c),negate(c)))))) = negate(c) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 0.63/1.24 [x,rule_14]).
% 0.63/1.24 cnf('0.17.0.0',plain,
% 0.63/1.24 ( c = negate(add(negate(add(c,add(negate(c),add(c,negate(c))))),negate(c))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.1.2.0','0.12.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2','L')]).
% 0.63/1.24 cnf('0.17.0.1',plain,
% 0.63/1.24 ( c = negate(add(negate(add(c,add(negate(c),negate(c)))),negate(c))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.17.0.0','0.8.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.1.1','L')]).
% 0.63/1.24 cnf('0.17.1.0',plain,
% 0.63/1.24 ( c = negate(add(negate(add(c,add(negate(c),negate(c)))),negate(c))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.63/1.24 [weight('<40,12,1,[0,0,0,6]>')]).
% 0.63/1.24 cnf('0.17.1.1',plain,
% 0.63/1.24 ( c = negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.17.1.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1','L')]).
% 0.63/1.24 cnf('0.17.2.0',plain,
% 0.63/1.24 ( negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))) = c ),
% 0.63/1.24 inference(orient,[status(thm)],['0.17.1.1',theory(equality)]),
% 0.63/1.24 [x,rule_16]).
% 0.63/1.24 cnf('0.18.0.0',plain,
% 0.63/1.24 ( negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),c)) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.14.2.0','0.17.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2','L')]).
% 0.63/1.24 cnf('0.18.0.1',plain,
% 0.63/1.24 ( negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(c),c)) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.18.0.0','0.15.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.1','L')]).
% 0.63/1.24 cnf('0.18.1.0',plain,
% 0.63/1.24 ( negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(c),c)) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.63/1.24 [weight('<28,17,14,[0,0,0,6]>')]).
% 0.63/1.24 cnf('0.18.1.1',plain,
% 0.63/1.24 ( negate(add(c,add(negate(c),negate(c)))) = negate(add(c,negate(c))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.18.1.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1','L')]).
% 0.63/1.24 cnf('0.18.2.0',plain,
% 0.63/1.24 ( negate(add(c,add(negate(c),negate(c)))) = negate(add(c,negate(c))) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.63/1.24 [u,rule_17]).
% 0.63/1.24 cnf('0.19.0.0',plain,
% 0.63/1.24 ( negate(add(c,negate(add(c,add(negate(c),negate(c)))))) = negate(c) ),
% 0.63/1.24 inference(interreduction_right,[status(thm)],['0.15.2.0'])).
% 0.63/1.24 cnf('0.19.0.1',plain,
% 0.63/1.24 ( negate(add(c,negate(add(c,negate(c))))) = negate(c) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.19.0.0','0.18.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2','L')]).
% 0.63/1.24 cnf('0.19.1.0',plain,
% 0.63/1.24 ( negate(add(c,negate(add(c,negate(c))))) = negate(c) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.63/1.24 [weight('<28,15,18,[0,0,0,0]>')]).
% 0.63/1.24 cnf('0.19.2.0',plain,
% 0.63/1.24 ( negate(add(c,negate(add(c,negate(c))))) = negate(c) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.63/1.24 [u,rule_18]).
% 0.63/1.24 cnf('0.32.0.0',plain,
% 0.63/1.24 ( add(c,X1) = negate(add(negate(add(c,X1)),negate(add(add(c,X1),negate(c))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.10.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1','L')]).
% 0.63/1.24 cnf('0.32.0.1',plain,
% 0.63/1.24 ( add(c,X1) = negate(add(negate(add(c,X1)),negate(add(c,add(X1,negate(c)))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.32.0.0','0.3.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.2.1','L')]).
% 0.63/1.24 cnf('0.32.1.0',plain,
% 0.63/1.24 ( add(c,X1) = negate(add(negate(add(c,X1)),negate(add(c,add(X1,negate(c)))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.63/1.24 [weight('<49,10,5,[1,0,0,3]>')]).
% 0.63/1.24 cnf('0.32.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(c,X1)),negate(add(c,add(X1,negate(c)))))) = add(c,X1) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_31]).
% 0.63/1.24 cnf('0.46.0.0',plain,
% 0.63/1.24 ( add(X1,X2) = negate(add(negate(add(X1,add(X2,X3))),negate(add(add(X1,X2),negate(X3))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1','L')]).
% 0.63/1.24 cnf('0.46.0.1',plain,
% 0.63/1.24 ( add(X1,X2) = negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.46.0.0','0.3.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.2.1','L')]).
% 0.63/1.24 cnf('0.46.1.0',plain,
% 0.63/1.24 ( add(X1,X2) = negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.63/1.24 [weight('<?,3,1,[0,0,0,3]>')]).
% 0.63/1.24 cnf('0.46.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) = add(X1,X2) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_45]).
% 0.63/1.24 cnf('0.57.0.0',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X1,add(negate(c),negate(add(c,negate(c)))))),negate(add(X1,c)))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2.1.2','L')]).
% 0.63/1.24 cnf('0.57.1.0',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X1,add(negate(c),negate(add(c,negate(c)))))),negate(add(X1,c)))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.63/1.24 [weight('<?,7,1,[0,0,0,9]>')]).
% 0.63/1.24 cnf('0.57.1.1',plain,
% 0.63/1.24 ( X1 = negate(add(negate(add(X1,c)),negate(add(X1,add(negate(c),negate(add(c,negate(c)))))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.57.1.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1','L')]).
% 0.63/1.24 cnf('0.57.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,c)),negate(add(X1,add(negate(c),negate(add(c,negate(c)))))))) = X1 ),
% 0.63/1.24 inference(orient,[status(thm)],['0.57.1.1',theory(equality)]),
% 0.63/1.24 [x,rule_53]).
% 0.63/1.24 cnf('0.64.0.0',plain,
% 0.63/1.24 ( add(c,negate(add(c,negate(c)))) = negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.32.2.0','0.19.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1','L')]).
% 0.63/1.24 cnf('0.64.1.0',plain,
% 0.63/1.24 ( add(c,negate(add(c,negate(c)))) = negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.64.0.0']),
% 0.63/1.24 [weight('<51,32,19,[1,0,0,2]>')]).
% 0.63/1.24 cnf('0.64.1.1',plain,
% 0.63/1.24 ( add(c,negate(add(c,negate(c)))) = negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.64.1.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.2.1.2','L')]).
% 0.63/1.24 cnf('0.64.2.0',plain,
% 0.63/1.24 ( negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = add(c,negate(add(c,negate(c)))) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.64.1.1',theory(equality)]),
% 0.63/1.24 [x,rule_60]).
% 0.63/1.24 cnf('0.66.0.0',plain,
% 0.63/1.24 ( c = negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.57.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1','L')]).
% 0.63/1.24 cnf('0.66.1.0',plain,
% 0.63/1.24 ( c = negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.66.0.0']),
% 0.63/1.24 [weight('<51,57,4,[1,0,0,3]>')]).
% 0.63/1.24 cnf('0.66.1.1',plain,
% 0.63/1.24 ( c = add(c,negate(add(c,negate(c)))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.66.1.0','0.64.2.0',theory(equality)]),
% 0.63/1.24 [pos('R','L')]).
% 0.63/1.24 cnf('0.66.2.0',plain,
% 0.63/1.24 ( add(c,negate(add(c,negate(c)))) = c ),
% 0.63/1.24 inference(orient,[status(thm)],['0.66.1.1',theory(equality)]),
% 0.63/1.24 [x,rule_62]).
% 0.63/1.24 cnf('0.286.0.0',plain,
% 0.63/1.24 ( add(X1,X2) = negate(add(negate(add(X1,add(X3,X2))),negate(add(X1,add(X2,negate(X3)))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.46.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1.2','L')]).
% 0.63/1.24 cnf('0.286.1.0',plain,
% 0.63/1.24 ( add(X1,X2) = negate(add(negate(add(X1,add(X3,X2))),negate(add(X1,add(X2,negate(X3)))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.286.0.0']),
% 0.63/1.24 [weight('<59,46,2,[1,0,0,5]>')]).
% 0.63/1.24 cnf('0.286.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X3,negate(X2)))))) = add(X1,X3) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.286.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_282]).
% 0.63/1.24 cnf('0.350.0.0',plain,
% 0.63/1.24 ( add(X1,X2) = negate(add(negate(add(X1,add(X3,X2))),negate(add(X1,add(negate(X3),X2))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.286.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2.1.2','L')]).
% 0.63/1.24 cnf('0.350.1.0',plain,
% 0.63/1.24 ( add(X1,X2) = negate(add(negate(add(X1,add(X3,X2))),negate(add(X1,add(negate(X3),X2))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.350.0.0']),
% 0.63/1.24 [weight('<59,286,2,[1,0,0,11]>')]).
% 0.63/1.24 cnf('0.350.2.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(negate(X2),X3))))) = add(X1,X3) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.350.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_346]).
% 0.63/1.24 cnf('0.351.0.0',plain,
% 0.63/1.24 ( add(X1,negate(add(c,negate(c)))) = negate(add(negate(add(X1,c)),negate(add(X1,add(negate(c),negate(add(c,negate(c)))))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.350.2.0','0.66.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1.2','L')]).
% 0.63/1.24 cnf('0.351.0.1',plain,
% 0.63/1.24 ( add(X1,negate(add(c,negate(c)))) = X1 ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.351.0.0','0.57.2.0',theory(equality)]),
% 0.63/1.24 [pos('R','L')]).
% 0.63/1.24 cnf('0.351.1.0',plain,
% 0.63/1.24 ( add(X1,negate(add(c,negate(c)))) = X1 ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.351.0.1']),
% 0.63/1.24 [weight('<27,350,66,[1,0,0,5]>')]).
% 0.63/1.24 cnf('0.351.2.0',plain,
% 0.63/1.24 ( add(X1,negate(add(c,negate(c)))) = X1 ),
% 0.63/1.24 inference(orient,[status(thm)],['0.351.1.0',theory(equality)]),
% 0.63/1.24 [u,rule_347]).
% 0.63/1.24 cnf('0.355.0.0',plain,
% 0.63/1.24 ( negate(add(c,negate(c))) = negate(add(negate(X1),negate(add(negate(X1),negate(add(c,negate(c))))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.14.2.0','0.351.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1.1','L')]).
% 0.63/1.24 cnf('0.355.0.1',plain,
% 0.63/1.24 ( negate(add(c,negate(c))) = negate(add(negate(X1),negate(negate(X1)))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.355.0.0','0.351.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.2.1','L')]).
% 0.63/1.24 cnf('0.355.1.0',plain,
% 0.63/1.24 ( negate(add(c,negate(c))) = negate(add(negate(X1),negate(negate(X1)))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.355.0.1']),
% 0.63/1.24 [weight('<19,351,14,[0,0,0,3]>')]).
% 0.63/1.24 cnf('0.355.2.0',plain,
% 0.63/1.24 ( negate(add(negate(X1),negate(negate(X1)))) = negate(add(c,negate(c))) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.355.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_351]).
% 0.63/1.24 cnf('0.358.0.0',plain,
% 0.63/1.24 ( negate(negate(X1)) = negate(add(negate(add(X1,negate(negate(X1)))),negate(add(c,negate(c))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.14.2.0','0.355.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.2','L')]).
% 0.63/1.24 cnf('0.358.0.1',plain,
% 0.63/1.24 ( negate(negate(X1)) = negate(negate(add(X1,negate(negate(X1))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.358.0.0','0.351.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1','L')]).
% 0.63/1.24 cnf('0.358.1.0',plain,
% 0.63/1.24 ( negate(negate(X1)) = negate(negate(add(X1,negate(negate(X1))))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.358.0.1']),
% 0.63/1.24 [weight('<19,355,14,[0,0,0,6]>')]).
% 0.63/1.24 cnf('0.358.2.0',plain,
% 0.63/1.24 ( negate(negate(add(X1,negate(negate(X1))))) = negate(negate(X1)) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.358.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_354]).
% 0.63/1.24 cnf('0.359.0.0',plain,
% 0.63/1.24 ( X1 = add(negate(add(c,negate(c))),X1) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.351.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('L','L')]).
% 0.63/1.24 cnf('0.359.1.0',plain,
% 0.63/1.24 ( X1 = add(negate(add(c,negate(c))),X1) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.359.0.0']),
% 0.63/1.24 [weight('<27,351,2,[1,0,0,0]>')]).
% 0.63/1.24 cnf('0.359.2.0',plain,
% 0.63/1.24 ( add(negate(add(c,negate(c))),X1) = X1 ),
% 0.63/1.24 inference(orient,[status(thm)],['0.359.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_355]).
% 0.63/1.24 cnf('0.360.0.0',plain,
% 0.63/1.24 ( negate(add(negate(add(c,negate(c))),X1)) = negate(negate(add(negate(add(negate(add(c,negate(c))),X1)),negate(negate(add(negate(add(c,negate(c))),negate(X1))))))) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.13.2.0','0.359.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1','L')]).
% 0.63/1.24 cnf('0.360.0.1',plain,
% 0.63/1.24 ( negate(X1) = negate(negate(add(negate(add(negate(add(c,negate(c))),X1)),negate(negate(add(negate(add(c,negate(c))),negate(X1))))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.360.0.0','0.359.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1','L')]).
% 0.63/1.24 cnf('0.360.0.2',plain,
% 0.63/1.24 ( negate(X1) = negate(negate(add(negate(X1),negate(negate(add(negate(add(c,negate(c))),negate(X1))))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.360.0.1','0.359.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.1.1.1','L')]).
% 0.63/1.24 cnf('0.360.0.3',plain,
% 0.63/1.24 ( negate(X1) = negate(negate(add(negate(X1),negate(negate(negate(X1)))))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.360.0.2','0.359.2.0',theory(equality)]),
% 0.63/1.24 [pos('R.1.1.2.1.1','L')]).
% 0.63/1.24 cnf('0.360.0.4',plain,
% 0.63/1.24 ( negate(X1) = negate(negate(negate(X1))) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.360.0.3','0.358.2.0',theory(equality)]),
% 0.63/1.24 [pos('R','L')]).
% 0.63/1.24 cnf('0.360.1.0',plain,
% 0.63/1.24 ( negate(X1) = negate(negate(negate(X1))) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.360.0.4']),
% 0.63/1.24 [weight('<8,359,13,[0,0,0,1]>')]).
% 0.63/1.24 cnf('0.360.2.0',plain,
% 0.63/1.24 ( negate(negate(negate(X1))) = negate(X1) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.360.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_356]).
% 0.63/1.24 cnf('0.361.0.0',plain,
% 0.63/1.24 ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = negate(negate(X1)) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.360.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1.1','L')]).
% 0.63/1.24 cnf('0.361.0.1',plain,
% 0.63/1.24 ( X1 = negate(negate(X1)) ),
% 0.63/1.24 inference(reduction,[status(thm)],['0.361.0.0','0.1.2.0',theory(equality)]),
% 0.63/1.24 [pos('L','L')]).
% 0.63/1.24 cnf('0.361.1.0',plain,
% 0.63/1.24 ( X1 = negate(negate(X1)) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.361.0.1']),
% 0.63/1.24 [weight('<7,360,1,[1,0,0,2]>')]).
% 0.63/1.24 cnf('0.361.2.0',plain,
% 0.63/1.24 ( negate(negate(X1)) = X1 ),
% 0.63/1.24 inference(orient,[status(thm)],['0.361.1.0',theory(equality)]),
% 0.63/1.24 [x,rule_357]).
% 0.63/1.24 cnf('0.426.0.0',plain,
% 0.63/1.24 ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.63/1.24 inference(cp,[status(thm)],['0.361.2.0','0.10.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.1','L')]).
% 0.63/1.24 cnf('0.426.1.0',plain,
% 0.63/1.24 ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.63/1.24 inference(weigh,[status(thm)],['0.426.0.0']),
% 0.63/1.24 [weight('<38,361,10,[1,0,0,1]>')]).
% 0.63/1.24 cnf('0.426.2.0',plain,
% 0.63/1.24 ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.63/1.24 inference(orient,[status(thm)],['0.426.1.0',theory(equality)]),
% 0.63/1.24 [u,rule_418]).
% 0.63/1.24 cnf('1.0.0.0',conjecture,
% 0.63/1.24 ( add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b ),
% 0.63/1.24 file('/tmp/WALDMEISTER_4627_n027',conjecture_1)).
% 0.63/1.24 cnf('1.0.0.1',plain,
% 0.63/1.24 ( add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) = b ),
% 0.63/1.24 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.24 [pos('L.2.1','L')]).
% 0.63/1.24 cnf('1.0.0.2',plain,
% 0.63/1.24 ( negate(negate(b)) = b ),
% 0.63/1.24 inference(reduction,[status(thm)],['1.0.0.1','0.426.2.0',theory(equality)]),
% 0.63/1.24 [pos('L','L')]).
% 0.63/1.24 cnf('1.0.0.3',plain,
% 0.63/1.24 ( b = b ),
% 0.63/1.24 inference(reduction,[status(thm)],['1.0.0.2','0.361.2.0',theory(equality)]),
% 0.63/1.24 [pos('L','L')]).
% 0.63/1.24 cnf('1.0.0.4',plain,
% 0.63/1.24 ( $true ),
% 0.63/1.24 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.63/1.24 [conjecture_1]).
% 0.63/1.24
% 0.63/1.24 Proved Goals:
% 0.63/1.24 No. 1: add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?= b joined, current: b = b
% 0.63/1.24 1 goal was specified, which was proved.
% 0.63/1.24 % SZS output end CNFRefutation
% 0.63/1.24 #END OF PROOF
% 0.63/1.24
% 0.63/1.24 Problem WALDMEISTER_4627_n027
% 0.63/1.24 CPs.gen 37950
% 0.63/1.24 CPs.reexp 0
% 0.63/1.24 Select 2191
% 0.63/1.24 R 418
% 0.63/1.24 E 8
% 0.63/1.24 vsize 6.6M
% 0.63/1.24 rss 4.0M
% 0.63/1.24 process.time 0.265s
% 0.63/1.24 wallclock.time 0.265s
% 0.63/1.24 status S
% 0.63/1.24
% 0.63/1.24
% 0.63/1.24 Waldmeister states: Goal proved.
% 0.63/1.24 % SZS status Unsatisfiable
%------------------------------------------------------------------------------