TSTP Solution File: ROB003-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ROB003-1 : 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 : Mon Jul 18 20:57:12 EDT 2022
% Result : Unsatisfiable 0.43s 0.87s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.10 % Command : woody %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Thu Jun 9 13:14:37 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.43/0.85 ********************************************************************************
% 0.43/0.85 * W A L D M E I S T E R \| \ / \|/ *
% 0.43/0.85 * |/ | \/ | *
% 0.43/0.85 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.43/0.85 * A. Jaeger and B. Loechner | | *
% 0.43/0.85 * <waldmeister@informatik.uni-kl.de> | *
% 0.43/0.85 ********************************************************************************
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Goals:
% 0.43/0.85 ------
% 0.43/0.85
% 0.43/0.85 ( 1) add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?=? b
% 0.43/0.85
% 0.43/0.85 Detected structure: RobbinsAlgebra
% 0.43/0.85 ********************************************************************************
% 0.43/0.85 ****************************** COMPLETION - PROOF ******************************
% 0.43/0.85 ********************************************************************************
% 0.43/0.85
% 0.43/0.87 joined goal: 1 add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?= b to b
% 0.43/0.87 goal joined
% 0.43/0.87 % SZS status Unsatisfiable
% 0.43/0.87 #START OF PROOF
% 0.43/0.87 % SZS output start CNFRefutation
% 0.43/0.87 cnf('0.1.0.0',axiom,
% 0.43/0.87 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.43/0.87 file('/tmp/WALDMEISTER_11697_n032')).
% 0.43/0.87 cnf('0.1.1.0',plain,
% 0.43/0.87 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.43/0.87 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.43/0.87 cnf('0.1.2.0',plain,
% 0.43/0.87 ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1 ),
% 0.43/0.87 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.43/0.87 [x,rule_1]).
% 0.43/0.87 cnf('0.2.0.0',axiom,
% 0.43/0.87 ( add(X1,X2) = add(X2,X1) ),
% 0.43/0.87 file('/tmp/WALDMEISTER_11697_n032')).
% 0.43/0.87 cnf('0.2.1.0',plain,
% 0.43/0.87 ( add(X1,X2) = add(X2,X1) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.43/0.87 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.43/0.87 cnf('0.2.2.0',plain,
% 0.43/0.87 ( add(X1,X2) = add(X2,X1) ),
% 0.43/0.87 inference(activate,[status(thm)],['0.2.1.0']),
% 0.43/0.87 [equation_1]).
% 0.43/0.87 cnf('0.3.0.0',axiom,
% 0.43/0.87 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.43/0.87 file('/tmp/WALDMEISTER_11697_n032')).
% 0.43/0.87 cnf('0.3.1.0',plain,
% 0.43/0.87 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.43/0.87 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.43/0.87 cnf('0.3.2.0',plain,
% 0.43/0.87 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.43/0.87 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.43/0.87 [x,rule_2]).
% 0.43/0.87 cnf('0.4.0.0',axiom,
% 0.43/0.87 ( add(X1,c) = c ),
% 0.43/0.87 file('/tmp/WALDMEISTER_11697_n032')).
% 0.43/0.87 cnf('0.4.1.0',plain,
% 0.43/0.87 ( add(X1,c) = c ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.43/0.87 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.43/0.87 cnf('0.4.2.0',plain,
% 0.43/0.87 ( add(X1,c) = c ),
% 0.43/0.87 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.43/0.87 [u,rule_3]).
% 0.43/0.87 cnf('0.7.0.0',plain,
% 0.43/0.87 ( X1 = negate(add(negate(c),negate(add(X1,negate(c))))) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1.1.1','L')]).
% 0.43/0.87 cnf('0.7.1.0',plain,
% 0.43/0.87 ( X1 = negate(add(negate(c),negate(add(X1,negate(c))))) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.43/0.87 [weight('<29,4,1,[0,0,0,3]>')]).
% 0.43/0.87 cnf('0.7.2.0',plain,
% 0.43/0.87 ( negate(add(negate(c),negate(add(X1,negate(c))))) = X1 ),
% 0.43/0.87 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.43/0.87 [x,rule_6]).
% 0.43/0.87 cnf('0.8.0.0',plain,
% 0.43/0.87 ( X1 = negate(add(negate(c),negate(add(negate(c),X1)))) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1.2.1','L')]).
% 0.43/0.87 cnf('0.8.1.0',plain,
% 0.43/0.87 ( X1 = negate(add(negate(c),negate(add(negate(c),X1)))) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.43/0.87 [weight('<29,7,2,[1,0,0,5]>')]).
% 0.43/0.87 cnf('0.8.2.0',plain,
% 0.43/0.87 ( negate(add(negate(c),negate(add(negate(c),X1)))) = X1 ),
% 0.43/0.87 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.43/0.87 [x,rule_7]).
% 0.43/0.87 cnf('0.9.0.0',plain,
% 0.43/0.87 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1.1.1','L')]).
% 0.43/0.87 cnf('0.9.1.0',plain,
% 0.43/0.87 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.43/0.87 [weight('<39,2,1,[0,0,0,3]>')]).
% 0.43/0.87 cnf('0.9.2.0',plain,
% 0.43/0.87 ( negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2 ),
% 0.43/0.87 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.43/0.87 [x,rule_8]).
% 0.43/0.87 cnf('0.11.0.0',plain,
% 0.43/0.87 ( negate(c) = negate(add(negate(add(negate(c),add(X1,negate(c)))),X1)) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1.2','L')]).
% 0.43/0.87 cnf('0.11.1.0',plain,
% 0.43/0.87 ( negate(c) = negate(add(negate(add(negate(c),add(X1,negate(c)))),X1)) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.43/0.87 [weight('<39,7,1,[0,0,0,6]>')]).
% 0.43/0.87 cnf('0.11.1.1',plain,
% 0.43/0.87 ( negate(c) = negate(add(X1,negate(add(negate(c),add(X1,negate(c)))))) ),
% 0.43/0.87 inference(reduction,[status(thm)],['0.11.1.0','0.2.2.0',theory(equality)]),
% 0.43/0.87 [pos('R.1','L')]).
% 0.43/0.87 cnf('0.11.2.0',plain,
% 0.43/0.87 ( negate(add(X1,negate(add(negate(c),add(X1,negate(c)))))) = negate(c) ),
% 0.43/0.87 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.43/0.87 [x,rule_10]).
% 0.43/0.87 cnf('0.12.0.0',plain,
% 0.43/0.87 ( negate(c) = add(negate(c),negate(c)) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.11.2.0','0.8.2.0',theory(equality)]),
% 0.43/0.87 [pos('L','L')]).
% 0.43/0.87 cnf('0.12.1.0',plain,
% 0.43/0.87 ( negate(c) = add(negate(c),negate(c)) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.43/0.87 [weight('<17,11,8,[1,0,0,0]>')]).
% 0.43/0.87 cnf('0.12.2.0',plain,
% 0.43/0.87 ( add(negate(c),negate(c)) = negate(c) ),
% 0.43/0.87 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.43/0.87 [x,rule_11]).
% 0.43/0.87 cnf('0.15.0.0',plain,
% 0.43/0.87 ( add(negate(c),add(negate(c),X1)) = add(negate(c),X1) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1','L')]).
% 0.43/0.87 cnf('0.15.1.0',plain,
% 0.43/0.87 ( add(negate(c),add(negate(c),X1)) = add(negate(c),X1) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.43/0.87 [weight('<27,12,3,[0,0,0,1]>')]).
% 0.43/0.87 cnf('0.15.2.0',plain,
% 0.43/0.87 ( add(negate(c),add(negate(c),X1)) = add(negate(c),X1) ),
% 0.43/0.87 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.43/0.87 [u,rule_14]).
% 0.43/0.87 cnf('0.16.0.0',plain,
% 0.43/0.87 ( add(negate(c),X1) = negate(add(negate(c),negate(add(negate(c),X1)))) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.8.2.0','0.15.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1.2.1','L')]).
% 0.43/0.87 cnf('0.16.0.1',plain,
% 0.43/0.87 ( add(negate(c),X1) = X1 ),
% 0.43/0.87 inference(reduction,[status(thm)],['0.16.0.0','0.8.2.0',theory(equality)]),
% 0.43/0.87 [pos('R','L')]).
% 0.43/0.87 cnf('0.16.1.0',plain,
% 0.43/0.87 ( add(negate(c),X1) = X1 ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.43/0.87 [weight('<16,15,8,[0,0,0,5]>')]).
% 0.43/0.87 cnf('0.16.2.0',plain,
% 0.43/0.87 ( add(negate(c),X1) = X1 ),
% 0.43/0.87 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.43/0.87 [u,rule_15]).
% 0.43/0.87 cnf('0.17.0.0',plain,
% 0.43/0.87 ( negate(add(negate(c),negate(add(negate(c),X1)))) = X1 ),
% 0.43/0.87 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.43/0.87 cnf('0.17.0.1',plain,
% 0.43/0.87 ( negate(negate(add(negate(c),X1))) = X1 ),
% 0.43/0.87 inference(reduction,[status(thm)],['0.17.0.0','0.16.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1','L')]).
% 0.43/0.87 cnf('0.17.0.2',plain,
% 0.43/0.87 ( negate(negate(X1)) = X1 ),
% 0.43/0.87 inference(reduction,[status(thm)],['0.17.0.1','0.16.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1.1','L')]).
% 0.43/0.87 cnf('0.17.1.0',plain,
% 0.43/0.87 ( negate(negate(X1)) = X1 ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.17.0.2']),
% 0.43/0.87 [weight('<7,8,16,[0,0,0,0]>')]).
% 0.43/0.87 cnf('0.17.2.0',plain,
% 0.43/0.87 ( negate(negate(X1)) = X1 ),
% 0.43/0.87 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.43/0.87 [u,rule_16]).
% 0.43/0.87 cnf('0.71.0.0',plain,
% 0.43/0.87 ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.43/0.87 inference(cp,[status(thm)],['0.17.2.0','0.9.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.1','L')]).
% 0.43/0.87 cnf('0.71.1.0',plain,
% 0.43/0.87 ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.43/0.87 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.43/0.87 [weight('<38,17,9,[1,0,0,1]>')]).
% 0.43/0.87 cnf('0.71.2.0',plain,
% 0.43/0.87 ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.43/0.87 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.43/0.87 [u,rule_68]).
% 0.43/0.87 cnf('1.0.0.0',conjecture,
% 0.43/0.87 ( add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b ),
% 0.43/0.87 file('/tmp/WALDMEISTER_11697_n032',conjecture_1)).
% 0.43/0.87 cnf('1.0.0.1',plain,
% 0.43/0.87 ( add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) = b ),
% 0.43/0.87 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.43/0.87 [pos('L.2.1','L')]).
% 0.43/0.87 cnf('1.0.0.2',plain,
% 0.43/0.87 ( negate(negate(b)) = b ),
% 0.43/0.87 inference(reduction,[status(thm)],['1.0.0.1','0.71.2.0',theory(equality)]),
% 0.43/0.87 [pos('L','L')]).
% 0.43/0.87 cnf('1.0.0.3',plain,
% 0.43/0.87 ( b = b ),
% 0.43/0.87 inference(reduction,[status(thm)],['1.0.0.2','0.17.2.0',theory(equality)]),
% 0.43/0.87 [pos('L','L')]).
% 0.43/0.87 cnf('1.0.0.4',plain,
% 0.43/0.87 ( $true ),
% 0.43/0.87 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.43/0.87 [conjecture_1]).
% 0.43/0.87
% 0.43/0.87 Proved Goals:
% 0.43/0.87 No. 1: add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?= b joined, current: b = b
% 0.43/0.87 1 goal was specified, which was proved.
% 0.43/0.87 % SZS output end CNFRefutation
% 0.43/0.87 #END OF PROOF
% 0.43/0.87
% 0.43/0.87 Problem WALDMEISTER_11697_n032
% 0.43/0.87 CPs.gen 4678
% 0.43/0.87 CPs.reexp 0
% 0.43/0.87 Select 346
% 0.43/0.87 R 68
% 0.43/0.87 E 3
% 0.43/0.87 vsize 6.5M
% 0.43/0.87 rss 3.8M
% 0.43/0.87 process.time 0.023s
% 0.43/0.87 wallclock.time 0.023s
% 0.43/0.87 status S
% 0.43/0.87
% 0.43/0.87
% 0.43/0.87 Waldmeister states: Goal proved.
% 0.43/0.87 % SZS status Unsatisfiable
%------------------------------------------------------------------------------