TSTP Solution File: REL023-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL023-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 20:09:57 EDT 2022
% Result : Unsatisfiable 0.59s 1.01s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL023-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 14:12:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.59/1.01 ********************************************************************************
% 0.59/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.01 * |/ | \/ | *
% 0.59/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.01 * A. Jaeger and B. Loechner | | *
% 0.59/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.01 ********************************************************************************
% 0.59/1.01
% 0.59/1.01
% 0.59/1.01 Goals:
% 0.59/1.01 ------
% 0.59/1.01
% 0.59/1.01 ( 1) join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) ?=? composition(sk1,meet(sk2,sk3))
% 0.59/1.01
% 0.59/1.01 Detected structure: Orkus
% 0.59/1.01 ********************************************************************************
% 0.59/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.01 ********************************************************************************
% 0.59/1.01
% 0.59/1.01 joined goal: 1 join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) ?= composition(sk1,meet(sk2,sk3)) to composition(sk1,meet(sk2,sk3))
% 0.59/1.01 goal joined
% 0.59/1.01 % SZS status Unsatisfiable
% 0.59/1.01 #START OF PROOF
% 0.59/1.01 % SZS output start CNFRefutation
% 0.59/1.01 cnf('0.1.0.0',axiom,
% 0.59/1.01 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.1.1.0',plain,
% 0.59/1.01 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/1.01 cnf('0.1.2.0',plain,
% 0.59/1.01 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_1]).
% 0.59/1.01 cnf('0.2.0.0',axiom,
% 0.59/1.01 ( X1 = composition(X1,one) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.2.1.0',plain,
% 0.59/1.01 ( X1 = composition(X1,one) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/1.01 cnf('0.2.2.0',plain,
% 0.59/1.01 ( composition(X1,one) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_2]).
% 0.59/1.01 cnf('0.3.0.0',axiom,
% 0.59/1.01 ( X1 = converse(converse(X1)) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.3.1.0',plain,
% 0.59/1.01 ( X1 = converse(converse(X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/1.01 cnf('0.3.2.0',plain,
% 0.59/1.01 ( converse(converse(X1)) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_3]).
% 0.59/1.01 cnf('0.4.0.0',axiom,
% 0.59/1.01 ( join(X1,X2) = join(X2,X1) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.4.1.0',plain,
% 0.59/1.01 ( join(X1,X2) = join(X2,X1) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/1.01 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/1.01 cnf('0.4.2.0',plain,
% 0.59/1.01 ( join(X1,X2) = join(X2,X1) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.4.1.0']),
% 0.59/1.01 [equation_1]).
% 0.59/1.01 cnf('0.5.0.0',axiom,
% 0.59/1.01 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.5.1.0',plain,
% 0.59/1.01 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/1.01 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.59/1.01 cnf('0.5.2.0',plain,
% 0.59/1.01 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_4]).
% 0.59/1.01 cnf('0.6.0.0',axiom,
% 0.59/1.01 ( join(X1,complement(X1)) = top ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.6.1.0',plain,
% 0.59/1.01 ( join(X1,complement(X1)) = top ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/1.01 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.59/1.01 cnf('0.6.2.0',plain,
% 0.59/1.01 ( join(X1,complement(X1)) = top ),
% 0.59/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_5]).
% 0.59/1.01 cnf('0.7.0.0',axiom,
% 0.59/1.01 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.7.1.0',plain,
% 0.59/1.01 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/1.01 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.59/1.01 cnf('0.7.2.0',plain,
% 0.59/1.01 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_6]).
% 0.59/1.01 cnf('0.8.0.0',axiom,
% 0.59/1.01 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.8.1.0',plain,
% 0.59/1.01 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.59/1.01 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.59/1.01 cnf('0.8.1.1',plain,
% 0.59/1.01 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.8.2.0',plain,
% 0.59/1.01 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 0.59/1.01 [u,rule_7]).
% 0.59/1.01 cnf('0.10.0.0',axiom,
% 0.59/1.01 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.10.1.0',plain,
% 0.59/1.01 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.59/1.01 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.59/1.01 cnf('0.10.2.0',plain,
% 0.59/1.01 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_9]).
% 0.59/1.01 cnf('0.12.0.0',axiom,
% 0.59/1.01 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.12.1.0',plain,
% 0.59/1.01 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.59/1.01 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.59/1.01 cnf('0.12.2.0',plain,
% 0.59/1.01 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_11]).
% 0.59/1.01 cnf('0.13.0.0',axiom,
% 0.59/1.01 ( meet(X1,complement(X1)) = zero ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025')).
% 0.59/1.01 cnf('0.13.1.0',plain,
% 0.59/1.01 ( meet(X1,complement(X1)) = zero ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.59/1.01 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.59/1.01 cnf('0.13.2.0',plain,
% 0.59/1.01 ( meet(X1,complement(X1)) = zero ),
% 0.59/1.01 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_12]).
% 0.59/1.01 cnf('0.14.0.0',plain,
% 0.59/1.01 ( meet(X1,complement(X1)) = complement(top) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.14.1.0',plain,
% 0.59/1.01 ( meet(X1,complement(X1)) = complement(top) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.59/1.01 [weight('<34,10,6,[1,0,0,1]>')]).
% 0.59/1.01 cnf('0.14.1.1',plain,
% 0.59/1.01 ( zero = complement(top) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.14.1.0','0.13.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.14.2.0',plain,
% 0.59/1.01 ( complement(top) = zero ),
% 0.59/1.01 inference(orient,[status(thm)],['0.14.1.1',theory(equality)]),
% 0.59/1.01 [x,rule_13]).
% 0.59/1.01 cnf('0.27.0.0',plain,
% 0.59/1.01 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.2','L')]).
% 0.59/1.01 cnf('0.27.1.0',plain,
% 0.59/1.01 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.59/1.01 [weight('<59,12,3,[1,0,0,3]>')]).
% 0.59/1.01 cnf('0.27.2.0',plain,
% 0.59/1.01 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_25]).
% 0.59/1.01 cnf('0.28.0.0',plain,
% 0.59/1.01 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.27.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.28.0.1',plain,
% 0.59/1.01 ( composition(converse(one),X1) = X1 ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.28.0.0','0.3.2.0',theory(equality)]),
% 0.59/1.01 [pos('R','L')]).
% 0.59/1.01 cnf('0.28.1.0',plain,
% 0.59/1.01 ( composition(converse(one),X1) = X1 ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.59/1.01 [weight('<29,27,2,[1,0,0,1]>')]).
% 0.59/1.01 cnf('0.28.2.0',plain,
% 0.59/1.01 ( composition(converse(one),X1) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_26]).
% 0.59/1.01 cnf('0.29.0.0',plain,
% 0.59/1.01 ( one = converse(one) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.28.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.29.1.0',plain,
% 0.59/1.01 ( one = converse(one) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.59/1.01 [weight('<11,28,2,[1,0,0,0]>')]).
% 0.59/1.01 cnf('0.29.2.0',plain,
% 0.59/1.01 ( converse(one) = one ),
% 0.59/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_27]).
% 0.59/1.01 cnf('0.30.0.0',plain,
% 0.59/1.01 ( composition(converse(one),X1) = X1 ),
% 0.59/1.01 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.59/1.01 cnf('0.30.0.1',plain,
% 0.59/1.01 ( composition(one,X1) = X1 ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.30.1.0',plain,
% 0.59/1.01 ( composition(one,X1) = X1 ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.59/1.01 [weight('<19,28,29,[0,0,0,0]>')]).
% 0.59/1.01 cnf('0.30.2.0',plain,
% 0.59/1.01 ( composition(one,X1) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_28]).
% 0.59/1.01 cnf('0.33.0.0',plain,
% 0.59/1.01 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.8.2.0','0.30.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.2.2.1','L')]).
% 0.59/1.01 cnf('0.33.0.1',plain,
% 0.59/1.01 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.33.0.0','0.29.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2.1','L')]).
% 0.59/1.01 cnf('0.33.0.2',plain,
% 0.59/1.01 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.33.0.1','0.30.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2','L')]).
% 0.59/1.01 cnf('0.33.1.0',plain,
% 0.59/1.01 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.33.0.2']),
% 0.59/1.01 [weight('<47,30,8,[0,0,0,7]>')]).
% 0.59/1.01 cnf('0.33.2.0',plain,
% 0.59/1.01 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_31]).
% 0.59/1.01 cnf('0.34.0.0',plain,
% 0.59/1.01 ( complement(top) = join(zero,complement(top)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.33.2.0','0.14.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.34.0.1',plain,
% 0.59/1.01 ( zero = join(zero,complement(top)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.34.0.0','0.14.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.34.0.2',plain,
% 0.59/1.01 ( zero = join(zero,zero) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.34.0.1','0.14.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2','L')]).
% 0.59/1.01 cnf('0.34.1.0',plain,
% 0.59/1.01 ( zero = join(zero,zero) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.59/1.01 [weight('<19,33,14,[1,0,0,1]>')]).
% 0.59/1.01 cnf('0.34.2.0',plain,
% 0.59/1.01 ( join(zero,zero) = zero ),
% 0.59/1.01 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_32]).
% 0.59/1.01 cnf('0.37.0.0',plain,
% 0.59/1.01 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.10.2.0','0.33.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.37.1.0',plain,
% 0.59/1.01 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.59/1.01 [weight('<48,33,10,[0,0,0,1]>')]).
% 0.59/1.01 cnf('0.37.2.0',plain,
% 0.59/1.01 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.37.1.0']),
% 0.59/1.01 [equation_3]).
% 0.59/1.01 cnf('0.38.0.0',plain,
% 0.59/1.01 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.5.2.0','0.34.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.38.1.0',plain,
% 0.59/1.01 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.59/1.01 [weight('<53,34,5,[0,0,0,1]>')]).
% 0.59/1.01 cnf('0.38.2.0',plain,
% 0.59/1.01 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_35]).
% 0.59/1.01 cnf('0.59.0.0',plain,
% 0.59/1.01 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.59/1.01 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.59/1.01 cnf('0.59.1.0',plain,
% 0.59/1.01 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.59/1.01 [weight('<?,1,4,[0,0,0,0]>')]).
% 0.59/1.01 cnf('0.59.1.1',plain,
% 0.59/1.01 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.59.1.2',plain,
% 0.59/1.01 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.59.1.1','0.10.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.2','L')]).
% 0.59/1.01 cnf('0.59.1.3',plain,
% 0.59/1.01 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.59.2.0',plain,
% 0.59/1.01 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 0.59/1.01 [u,rule_56]).
% 0.59/1.01 cnf('0.61.0.0',plain,
% 0.59/1.01 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.59.2.0','0.13.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.61.0.1',plain,
% 0.59/1.01 ( X1 = join(zero,meet(X1,X1)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.61.0.0','0.10.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2','L')]).
% 0.59/1.01 cnf('0.61.1.0',plain,
% 0.59/1.01 ( X1 = join(zero,meet(X1,X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.59/1.01 [weight('<41,59,13,[1,0,0,1]>')]).
% 0.59/1.01 cnf('0.61.2.0',plain,
% 0.59/1.01 ( join(zero,meet(X1,X1)) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_58]).
% 0.59/1.01 cnf('0.62.0.0',plain,
% 0.59/1.01 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.38.2.0','0.61.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.2','L')]).
% 0.59/1.01 cnf('0.62.0.1',plain,
% 0.59/1.01 ( X1 = join(zero,X1) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.62.0.0','0.61.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.62.1.0',plain,
% 0.59/1.01 ( X1 = join(zero,X1) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.59/1.01 [weight('<19,61,38,[0,0,0,2]>')]).
% 0.59/1.01 cnf('0.62.2.0',plain,
% 0.59/1.01 ( join(zero,X1) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_59]).
% 0.59/1.01 cnf('0.66.0.0',plain,
% 0.59/1.01 ( join(zero,meet(X1,X1)) = X1 ),
% 0.59/1.01 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 0.59/1.01 cnf('0.66.0.1',plain,
% 0.59/1.01 ( meet(X1,X1) = X1 ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.66.0.0','0.62.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.66.1.0',plain,
% 0.59/1.01 ( meet(X1,X1) = X1 ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.66.0.1']),
% 0.59/1.01 [weight('<19,61,62,[0,0,0,0]>')]).
% 0.59/1.01 cnf('0.66.2.0',plain,
% 0.59/1.01 ( meet(X1,X1) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_63]).
% 0.59/1.01 cnf('0.67.0.0',plain,
% 0.59/1.01 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.59/1.01 inference(interreduction_right,[status(thm)],['0.37.2.0'])).
% 0.59/1.01 cnf('0.67.0.1',plain,
% 0.59/1.01 ( X1 = complement(complement(X1)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.67.0.0','0.66.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.67.1.0',plain,
% 0.59/1.01 ( X1 = complement(complement(X1)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.59/1.01 [weight('<19,37,66,[0,0,0,0]>')]).
% 0.59/1.01 cnf('0.67.2.0',plain,
% 0.59/1.01 ( complement(complement(X1)) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_64]).
% 0.59/1.01 cnf('0.71.0.0',plain,
% 0.59/1.01 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.33.2.0','0.67.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.71.0.1',plain,
% 0.59/1.01 ( X1 = join(X1,complement(complement(X1))) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.71.0.0','0.67.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.71.0.2',plain,
% 0.59/1.01 ( X1 = join(X1,X1) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.71.0.1','0.67.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2','L')]).
% 0.59/1.01 cnf('0.71.1.0',plain,
% 0.59/1.01 ( X1 = join(X1,X1) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.71.0.2']),
% 0.59/1.01 [weight('<19,67,33,[0,0,0,1]>')]).
% 0.59/1.01 cnf('0.71.2.0',plain,
% 0.59/1.01 ( join(X1,X1) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_68]).
% 0.59/1.01 cnf('0.81.0.0',plain,
% 0.59/1.01 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.5.2.0','0.71.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.81.1.0',plain,
% 0.59/1.01 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.59/1.01 [weight('<53,71,5,[0,0,0,1]>')]).
% 0.59/1.01 cnf('0.81.2.0',plain,
% 0.59/1.01 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.59/1.01 [u,rule_78]).
% 0.59/1.01 cnf('0.82.0.0',plain,
% 0.59/1.01 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.81.2.0','0.59.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.2','L')]).
% 0.59/1.01 cnf('0.82.0.1',plain,
% 0.59/1.01 ( X1 = join(meet(X1,X2),X1) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.82.0.0','0.59.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.82.1.0',plain,
% 0.59/1.01 ( X1 = join(meet(X1,X2),X1) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.82.0.1']),
% 0.59/1.01 [weight('<41,81,59,[1,0,0,2]>')]).
% 0.59/1.01 cnf('0.82.1.1',plain,
% 0.59/1.01 ( X1 = join(X1,meet(X1,X2)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.82.1.0','0.4.2.0',theory(equality)]),
% 0.59/1.01 [pos('R','L')]).
% 0.59/1.01 cnf('0.82.2.0',plain,
% 0.59/1.01 ( join(X1,meet(X1,X2)) = X1 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.82.1.1',theory(equality)]),
% 0.59/1.01 [x,rule_79]).
% 0.59/1.01 cnf('1.0.0.0',conjecture,
% 0.59/1.01 ( join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) = composition(sk1,meet(sk2,sk3)) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_14263_n025',conjecture_1)).
% 0.59/1.01 cnf('1.0.0.1',plain,
% 0.59/1.01 ( join(composition(sk1,meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) = composition(sk1,meet(sk2,sk3)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.4.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('1.0.0.2',plain,
% 0.59/1.01 ( composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)) = composition(sk1,meet(sk2,sk3)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.7.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('1.0.0.3',plain,
% 0.59/1.01 ( composition(sk1,meet(sk2,sk3)) = composition(sk1,meet(sk2,sk3)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['1.0.0.2','0.82.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('1.0.0.4',plain,
% 0.59/1.01 ( $true ),
% 0.59/1.01 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.59/1.01 [conjecture_1]).
% 0.59/1.01
% 0.59/1.01 Proved Goals:
% 0.59/1.01 No. 1: join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) ?= composition(sk1,meet(sk2,sk3)) joined, current: composition(sk1,meet(sk2,sk3)) = composition(sk1,meet(sk2,sk3))
% 0.59/1.01 1 goal was specified, which was proved.
% 0.59/1.01 % SZS output end CNFRefutation
% 0.59/1.01 #END OF PROOF
% 0.59/1.01
% 0.59/1.01 Problem WALDMEISTER_14263_n025
% 0.59/1.01 CPs.gen 617
% 0.59/1.01 CPs.reexp 0
% 0.59/1.01 Select 144
% 0.59/1.01 R 79
% 0.59/1.01 E 3
% 0.59/1.01 vsize 6.6M
% 0.59/1.01 rss 3.9M
% 0.59/1.01 process.time 0.006s
% 0.59/1.01 wallclock.time 0.006s
% 0.59/1.01 status S
% 0.59/1.01
% 0.59/1.01
% 0.59/1.01 Waldmeister states: Goal proved.
% 0.59/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------