TSTP Solution File: BOO074-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO074-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.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 : Thu Jul 14 23:52:57 EDT 2022
% Result : Unsatisfiable 0.61s 1.02s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO074-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 22:22:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) ?=? a
% 0.58/0.99
% 0.58/0.99 Detected structure: Orkus
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.61/1.02 joined goal: 1 add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) ?= a to a
% 0.61/1.02 goal joined
% 0.61/1.02 % SZS status Unsatisfiable
% 0.61/1.02 #START OF PROOF
% 0.61/1.02 % SZS output start CNFRefutation
% 0.61/1.02 cnf('0.1.0.0',axiom,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))))) ),
% 0.61/1.02 file('/tmp/WALDMEISTER_3604_n019')).
% 0.61/1.02 cnf('0.1.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.1.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_1]).
% 0.61/1.02 cnf('0.3.0.0',plain,
% 0.61/1.02 ( inverse(X1) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.3.1.0',plain,
% 0.61/1.02 ( inverse(X1) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/1.02 [weight('<439,1,1,[0,0,0,9]>')]).
% 0.61/1.02 cnf('0.3.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) = inverse(X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_3]).
% 0.61/1.02 cnf('0.4.0.0',plain,
% 0.61/1.02 ( inverse(X1) = inverse(add(inverse(add(X1,inverse(X1))),X1)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.1.1','L')]).
% 0.61/1.02 cnf('0.4.1.0',plain,
% 0.61/1.02 ( inverse(X1) = inverse(add(inverse(add(X1,inverse(X1))),X1)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/1.02 [weight('<98,3,1,[1,0,0,4]>')]).
% 0.61/1.02 cnf('0.4.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(X1,inverse(X1))),X1)) = inverse(X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_4]).
% 0.61/1.02 cnf('0.5.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.5.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.02 [weight('<271,4,1,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.5.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_5]).
% 0.61/1.02 cnf('0.6.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(add(X1,X1)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1.2','L')]).
% 0.61/1.02 cnf('0.6.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(add(X1,X1)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/1.02 [weight('<89,5,5,[0,0,0,7]>')]).
% 0.61/1.02 cnf('0.6.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_6]).
% 0.61/1.02 cnf('0.7.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,X1)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1.2','L')]).
% 0.61/1.02 cnf('0.7.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(add(X2,X3)),X1)),inverse(add(X2,X1)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.61/1.02 [weight('<209,5,1,[0,0,0,12]>')]).
% 0.61/1.02 cnf('0.7.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3)))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_7]).
% 0.61/1.02 cnf('0.8.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(X2,X1)),inverse(add(inverse(X2),X1)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.1.1','L')]).
% 0.61/1.02 cnf('0.8.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(X2,X1)),inverse(add(inverse(X2),X1)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.61/1.02 [weight('<155,7,5,[1,0,0,4]>')]).
% 0.61/1.02 cnf('0.8.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2)))) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_8]).
% 0.61/1.02 cnf('0.9.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.9.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.61/1.02 [weight('<155,8,4,[1,0,0,6]>')]).
% 0.61/1.02 cnf('0.9.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_9]).
% 0.61/1.02 cnf('0.10.0.0',plain,
% 0.61/1.02 ( inverse(add(X1,X1)) = inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.10.1.0',plain,
% 0.61/1.02 ( inverse(add(X1,X1)) = inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.61/1.02 [weight('<164,8,6,[1,0,0,6]>')]).
% 0.61/1.02 cnf('0.10.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) = inverse(add(X1,X1)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_10]).
% 0.61/1.02 cnf('0.11.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.11.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.61/1.02 [weight('<131,10,7,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.11.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_11]).
% 0.61/1.02 cnf('0.14.0.0',plain,
% 0.61/1.02 ( inverse(X1) = inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.14.1.0',plain,
% 0.61/1.02 ( inverse(X1) = inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.61/1.02 [weight('<167,9,7,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.14.2.0',plain,
% 0.61/1.02 ( inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) = inverse(X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_14]).
% 0.61/1.02 cnf('0.15.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(X2),X1)),inverse(add(X2,X1)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.14.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.1.1','L')]).
% 0.61/1.02 cnf('0.15.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(X2),X1)),inverse(add(X2,X1)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.61/1.02 [weight('<155,14,7,[0,0,0,4]>')]).
% 0.61/1.02 cnf('0.15.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2)))) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_15]).
% 0.61/1.02 cnf('0.17.0.0',plain,
% 0.61/1.02 ( inverse(add(X1,X2)) = inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X2)))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.15.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.17.1.0',plain,
% 0.61/1.02 ( inverse(add(X1,X2)) = inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X2)))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.61/1.02 [weight('<191,15,7,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.17.2.0',plain,
% 0.61/1.02 ( inverse(add(X1,inverse(add(inverse(X2),inverse(add(X2,X1)))))) = inverse(add(X2,X1)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_17]).
% 0.61/1.02 cnf('0.26.0.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),X2)) = inverse(add(X2,inverse(add(X1,inverse(add(inverse(X1),X2)))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.26.1.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),X2)) = inverse(add(X2,inverse(add(X1,inverse(add(inverse(X1),X2)))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.61/1.02 [weight('<203,8,7,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.26.2.0',plain,
% 0.61/1.02 ( inverse(add(X1,inverse(add(X2,inverse(add(inverse(X2),X1)))))) = inverse(add(inverse(X2),X1)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_26]).
% 0.61/1.02 cnf('0.27.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.5.2.0','0.26.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1.2','L')]).
% 0.61/1.02 cnf('0.27.0.1',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(X1))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.27.0.0','0.26.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.27.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(X1))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.61/1.02 [weight('<55,26,5,[0,0,0,7]>')]).
% 0.61/1.02 cnf('0.27.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(X1))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_27]).
% 0.61/1.02 cnf('0.28.0.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.61/1.02 cnf('0.28.0.1',plain,
% 0.61/1.02 ( add(X1,X1) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.28.0.0','0.27.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.28.1.0',plain,
% 0.61/1.02 ( add(X1,X1) = X1 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.61/1.02 [weight('<19,11,27,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.28.2.0',plain,
% 0.61/1.02 ( add(X1,X1) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_28]).
% 0.61/1.02 cnf('0.29.0.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.61/1.02 cnf('0.29.0.1',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(X1))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.29.0.0','0.28.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1','L')]).
% 0.61/1.02 cnf('0.29.0.2',plain,
% 0.61/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.29.0.1','0.28.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.29.1.0',plain,
% 0.61/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.61/1.02 [weight('<19,6,28,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.29.2.0',plain,
% 0.61/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_29]).
% 0.61/1.02 cnf('0.35.0.0',plain,
% 0.61/1.02 ( add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.29.2.0','0.8.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.35.1.0',plain,
% 0.61/1.02 ( add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.61/1.02 [weight('<142,29,8,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.35.2.0',plain,
% 0.61/1.02 ( add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_35]).
% 0.61/1.02 cnf('0.39.0.0',plain,
% 0.61/1.02 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.29.2.0','0.15.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.39.1.0',plain,
% 0.61/1.02 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.61/1.02 [weight('<142,29,15,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.39.2.0',plain,
% 0.61/1.02 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_39]).
% 0.61/1.02 cnf('0.42.0.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = inverse(inverse(add(X2,X1))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.29.2.0','0.17.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.42.0.1',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.42.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.42.1.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.61/1.02 [weight('<153,29,17,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.42.2.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_42]).
% 0.61/1.02 cnf('0.45.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.28.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1','L')]).
% 0.61/1.02 cnf('0.45.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.61/1.02 [weight('<155,28,7,[0,0,0,10]>')]).
% 0.61/1.02 cnf('0.45.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_45]).
% 0.61/1.02 cnf('0.46.0.0',plain,
% 0.61/1.02 ( inverse(add(X1,X2)) = inverse(add(X2,inverse(inverse(add(X1,X2))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.45.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.46.0.1',plain,
% 0.61/1.02 ( inverse(add(X1,X2)) = inverse(add(X2,add(X1,X2))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.46.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.1.2','L')]).
% 0.61/1.02 cnf('0.46.1.0',plain,
% 0.61/1.02 ( inverse(add(X1,X2)) = inverse(add(X2,add(X1,X2))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.61/1.02 [weight('<76,45,7,[1,0,0,2]>')]).
% 0.61/1.02 cnf('0.46.2.0',plain,
% 0.61/1.02 ( inverse(add(X1,add(X2,X1))) = inverse(add(X2,X1)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_46]).
% 0.61/1.02 cnf('0.47.0.0',plain,
% 0.61/1.02 ( add(X1,add(X2,X1)) = inverse(inverse(add(X2,X1))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.29.2.0','0.46.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.47.0.1',plain,
% 0.61/1.02 ( add(X1,add(X2,X1)) = add(X2,X1) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.47.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.47.1.0',plain,
% 0.61/1.02 ( add(X1,add(X2,X1)) = add(X2,X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.61/1.02 [weight('<53,46,29,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.47.2.0',plain,
% 0.61/1.02 ( add(X1,add(X2,X1)) = add(X2,X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_47]).
% 0.61/1.02 cnf('0.48.0.0',plain,
% 0.61/1.02 ( add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = add(inverse(add(X1,X2)),inverse(X2)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.47.2.0','0.39.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.48.0.1',plain,
% 0.61/1.02 ( inverse(X2) = add(inverse(add(X1,X2)),inverse(X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.48.0.0','0.39.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.48.1.0',plain,
% 0.61/1.02 ( inverse(X2) = add(inverse(add(X1,X2)),inverse(X2)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.61/1.02 [weight('<79,47,39,[1,0,0,2]>')]).
% 0.61/1.02 cnf('0.48.2.0',plain,
% 0.61/1.02 ( add(inverse(add(X1,X2)),inverse(X2)) = inverse(X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_48]).
% 0.61/1.02 cnf('0.49.0.0',plain,
% 0.61/1.02 ( inverse(inverse(X1)) = add(inverse(add(X2,inverse(X1))),X1) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.48.2.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.49.0.1',plain,
% 0.61/1.02 ( X1 = add(inverse(add(X2,inverse(X1))),X1) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.49.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.49.1.0',plain,
% 0.61/1.02 ( X1 = add(inverse(add(X2,inverse(X1))),X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.61/1.02 [weight('<71,48,29,[1,0,0,5]>')]).
% 0.61/1.02 cnf('0.49.2.0',plain,
% 0.61/1.02 ( add(inverse(add(X1,inverse(X2))),X2) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_49]).
% 0.61/1.02 cnf('0.50.0.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(add(X2,X1)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.49.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.1','L')]).
% 0.61/1.02 cnf('0.50.1.0',plain,
% 0.61/1.02 ( X1 = inverse(add(inverse(X1),inverse(add(X2,X1)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.61/1.02 [weight('<89,49,7,[0,0,0,3]>')]).
% 0.61/1.02 cnf('0.50.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X2,X1)))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_50]).
% 0.61/1.02 cnf('0.54.0.0',plain,
% 0.61/1.02 ( add(inverse(X1),inverse(add(X2,X1))) = inverse(X1) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.29.2.0','0.50.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.54.1.0',plain,
% 0.61/1.02 ( add(inverse(X1),inverse(add(X2,X1))) = inverse(X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.61/1.02 [weight('<79,50,29,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.54.2.0',plain,
% 0.61/1.02 ( add(inverse(X1),inverse(add(X2,X1))) = inverse(X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_54]).
% 0.61/1.02 cnf('0.58.0.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = inverse(inverse(add(inverse(X2),X1))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.29.2.0','0.26.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.58.0.1',plain,
% 0.61/1.02 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.58.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.58.1.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.58.0.1']),
% 0.61/1.02 [weight('<164,29,26,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.58.2.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(X2,inverse(add(inverse(X2),X1))))) = add(inverse(X2),X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_58]).
% 0.61/1.02 cnf('0.61.0.0',plain,
% 0.61/1.02 ( add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.29.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.61.1.0',plain,
% 0.61/1.02 ( add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.61/1.02 [weight('<194,29,7,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.61.2.0',plain,
% 0.61/1.02 ( add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_61]).
% 0.61/1.02 cnf('0.68.0.0',plain,
% 0.61/1.02 ( inverse(inverse(add(X1,X2))) = add(inverse(inverse(X2)),inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.61.2.0','0.61.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.68.0.1',plain,
% 0.61/1.02 ( add(X1,X2) = add(inverse(inverse(X2)),inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.68.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.68.0.2',plain,
% 0.61/1.02 ( add(X1,X2) = add(X2,inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.68.0.1','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.1','L')]).
% 0.61/1.02 cnf('0.68.1.0',plain,
% 0.61/1.02 ( add(X1,X2) = add(X2,inverse(add(inverse(add(X1,X3)),inverse(add(X1,X2))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.68.0.2']),
% 0.61/1.02 [weight('<207,61,61,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.68.2.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_68]).
% 0.61/1.02 cnf('0.69.0.0',plain,
% 0.61/1.02 ( add(X1,add(X1,X2)) = add(add(X1,X2),inverse(inverse(add(X1,X2)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.68.2.0','0.54.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.69.0.1',plain,
% 0.61/1.02 ( add(X1,add(X1,X2)) = add(add(X1,X2),add(X1,X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.69.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.69.0.2',plain,
% 0.61/1.02 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.69.0.1','0.28.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.69.1.0',plain,
% 0.61/1.02 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.69.0.2']),
% 0.61/1.02 [weight('<53,68,54,[1,0,0,3]>')]).
% 0.61/1.02 cnf('0.69.2.0',plain,
% 0.61/1.02 ( add(X1,add(X1,X2)) = add(X1,X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_69]).
% 0.61/1.02 cnf('0.73.0.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = add(inverse(add(inverse(X1),inverse(add(X1,X2)))),inverse(add(inverse(X1),inverse(add(X1,X2))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.68.2.0','0.58.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.73.0.1',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = inverse(add(inverse(X1),inverse(add(X1,X2)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.73.0.0','0.28.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.73.1.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = inverse(add(inverse(X1),inverse(add(X1,X2)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.73.0.1']),
% 0.61/1.02 [weight('<208,68,58,[1,0,0,3]>')]).
% 0.61/1.02 cnf('0.73.2.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X1),inverse(add(X1,X2))))) = inverse(add(inverse(X1),inverse(add(X1,X2)))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_73]).
% 0.61/1.02 cnf('0.74.0.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.61/1.02 cnf('0.74.0.1',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(inverse(add(inverse(X1),inverse(add(X1,X2))))))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.74.0.0','0.73.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1','L')]).
% 0.61/1.02 cnf('0.74.0.2',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),add(inverse(X1),inverse(add(X1,X2))))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.74.0.1','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.74.0.3',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.74.0.2','0.69.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.74.1.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.74.0.3']),
% 0.61/1.02 [weight('<89,5,73,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.74.2.0',plain,
% 0.61/1.02 ( inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_74]).
% 0.61/1.02 cnf('0.76.0.0',plain,
% 0.61/1.02 ( add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1) ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 0.61/1.02 cnf('0.76.0.1',plain,
% 0.61/1.02 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.76.0.0','0.74.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.76.1.0',plain,
% 0.61/1.02 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.76.0.1']),
% 0.61/1.02 [weight('<48,42,74,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.76.2.0',plain,
% 0.61/1.02 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.76.1.0']),
% 0.61/1.02 [equation_1]).
% 0.61/1.02 cnf('1.0.0.0',conjecture,
% 0.61/1.02 ( add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = a ),
% 0.61/1.02 file('/tmp/WALDMEISTER_3604_n019',conjecture_1)).
% 0.61/1.02 cnf('1.0.0.1',plain,
% 0.61/1.02 ( add(inverse(add(inverse(a),b)),inverse(add(inverse(b),inverse(a)))) = a ),
% 0.61/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.76.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('1.0.0.2',plain,
% 0.61/1.02 ( add(inverse(add(b,inverse(a))),inverse(add(inverse(b),inverse(a)))) = a ),
% 0.61/1.02 inference(reduction,[status(thm)],['1.0.0.1','0.76.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('1.0.0.3',plain,
% 0.61/1.02 ( inverse(inverse(a)) = a ),
% 0.61/1.02 inference(reduction,[status(thm)],['1.0.0.2','0.35.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('1.0.0.4',plain,
% 0.61/1.02 ( a = a ),
% 0.61/1.02 inference(reduction,[status(thm)],['1.0.0.3','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('1.0.0.5',plain,
% 0.61/1.02 ( $true ),
% 0.61/1.02 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.61/1.02 [conjecture_1]).
% 0.61/1.02
% 0.61/1.02 Proved Goals:
% 0.61/1.02 No. 1: add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) ?= a joined, current: a = a
% 0.61/1.02 1 goal was specified, which was proved.
% 0.61/1.02 % SZS output end CNFRefutation
% 0.61/1.02 #END OF PROOF
% 0.61/1.02
% 0.61/1.02 Problem WALDMEISTER_3604_n019
% 0.61/1.02 CPs.gen 4184
% 0.61/1.02 CPs.reexp 0
% 0.61/1.02 Select 169
% 0.61/1.02 R 75
% 0.61/1.02 E 1
% 0.61/1.02 vsize 6.4M
% 0.61/1.02 rss 3.7M
% 0.61/1.02 process.time 0.032s
% 0.61/1.02 wallclock.time 0.032s
% 0.61/1.02 status S
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Waldmeister states: Goal proved.
% 0.61/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------