TSTP Solution File: REL024-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL024-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n010.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 20:09:59 EDT 2022
% Result : Unsatisfiable 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL024-2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n010.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 : Fri Jul 8 10:43:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.00 * |/ | \/ | *
% 0.59/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.00 * A. Jaeger and B. Loechner | | *
% 0.59/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Goals:
% 0.59/1.00 ------
% 0.59/1.00
% 0.59/1.00 ( 1) composition(meet(sk1,converse(sk2)),sk3) ?=? join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3))
% 0.59/1.00
% 0.59/1.00 Detected structure: Orkus
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 1.30/1.73 joined goal: 1 composition(meet(sk1,converse(sk2)),sk3) ?= join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) to composition(meet(converse(sk2),sk1),sk3)
% 1.30/1.73 goal joined
% 1.30/1.73 % SZS status Unsatisfiable
% 1.30/1.73 #START OF PROOF
% 1.30/1.73 % SZS output start CNFRefutation
% 1.30/1.73 cnf('0.1.0.0',axiom,
% 1.30/1.73 ( X1 = composition(X1,one) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.1.1.0',plain,
% 1.30/1.73 ( X1 = composition(X1,one) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.30/1.73 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.30/1.73 cnf('0.1.2.0',plain,
% 1.30/1.73 ( composition(X1,one) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_1]).
% 1.30/1.73 cnf('0.3.0.0',axiom,
% 1.30/1.73 ( X1 = converse(converse(X1)) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.3.1.0',plain,
% 1.30/1.73 ( X1 = converse(converse(X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.30/1.73 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.30/1.73 cnf('0.3.2.0',plain,
% 1.30/1.73 ( converse(converse(X1)) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_3]).
% 1.30/1.73 cnf('0.5.0.0',axiom,
% 1.30/1.73 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.5.1.0',plain,
% 1.30/1.73 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.30/1.73 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.30/1.73 cnf('0.5.2.0',plain,
% 1.30/1.73 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_5]).
% 1.30/1.73 cnf('0.6.0.0',axiom,
% 1.30/1.73 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.6.1.0',plain,
% 1.30/1.73 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.30/1.73 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.30/1.73 cnf('0.6.2.0',plain,
% 1.30/1.73 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_6]).
% 1.30/1.73 cnf('0.8.0.0',axiom,
% 1.30/1.73 ( join(X1,X2) = join(X2,X1) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.8.1.0',plain,
% 1.30/1.73 ( join(X1,X2) = join(X2,X1) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.30/1.73 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.30/1.73 cnf('0.8.2.0',plain,
% 1.30/1.73 ( join(X1,X2) = join(X2,X1) ),
% 1.30/1.73 inference(activate,[status(thm)],['0.8.1.0']),
% 1.30/1.73 [equation_1]).
% 1.30/1.73 cnf('0.9.0.0',axiom,
% 1.30/1.73 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.9.1.0',plain,
% 1.30/1.73 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.30/1.73 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.30/1.73 cnf('0.9.2.0',plain,
% 1.30/1.73 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_8]).
% 1.30/1.73 cnf('0.10.0.0',axiom,
% 1.30/1.73 ( join(X1,complement(X1)) = top ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.10.1.0',plain,
% 1.30/1.73 ( join(X1,complement(X1)) = top ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.30/1.73 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.30/1.73 cnf('0.10.2.0',plain,
% 1.30/1.73 ( join(X1,complement(X1)) = top ),
% 1.30/1.73 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_9]).
% 1.30/1.73 cnf('0.11.0.0',axiom,
% 1.30/1.73 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.11.1.0',plain,
% 1.30/1.73 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.30/1.73 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.30/1.73 cnf('0.11.1.1',plain,
% 1.30/1.73 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.11.1.0','0.8.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.11.2.0',plain,
% 1.30/1.73 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 1.30/1.73 [u,rule_10]).
% 1.30/1.73 cnf('0.12.0.0',axiom,
% 1.30/1.73 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.12.1.0',plain,
% 1.30/1.73 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.30/1.73 [weight('<11,0,0,[0,0,0,12]>')]).
% 1.30/1.73 cnf('0.12.2.0',plain,
% 1.30/1.73 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_11]).
% 1.30/1.73 cnf('0.15.0.0',axiom,
% 1.30/1.73 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.15.1.0',plain,
% 1.30/1.73 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.30/1.73 [weight('<14,0,0,[0,0,0,15]>')]).
% 1.30/1.73 cnf('0.15.2.0',plain,
% 1.30/1.73 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_14]).
% 1.30/1.73 cnf('0.16.0.0',axiom,
% 1.30/1.73 ( meet(X1,complement(X1)) = zero ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.16.1.0',plain,
% 1.30/1.73 ( meet(X1,complement(X1)) = zero ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.30/1.73 [weight('<15,0,0,[0,0,0,16]>')]).
% 1.30/1.73 cnf('0.16.2.0',plain,
% 1.30/1.73 ( meet(X1,complement(X1)) = zero ),
% 1.30/1.73 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_15]).
% 1.30/1.73 cnf('0.17.0.0',plain,
% 1.30/1.73 ( meet(X1,complement(X1)) = complement(top) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.17.1.0',plain,
% 1.30/1.73 ( meet(X1,complement(X1)) = complement(top) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.30/1.73 [weight('<34,15,10,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.17.1.1',plain,
% 1.30/1.73 ( zero = complement(top) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.17.1.0','0.16.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.17.2.0',plain,
% 1.30/1.73 ( complement(top) = zero ),
% 1.30/1.73 inference(orient,[status(thm)],['0.17.1.1',theory(equality)]),
% 1.30/1.73 [x,rule_16]).
% 1.30/1.73 cnf('0.20.0.0',plain,
% 1.30/1.73 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.15.2.0','0.8.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.20.0.1',plain,
% 1.30/1.73 ( meet(X1,X2) = meet(X2,X1) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.20.0.0','0.15.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('0.20.1.0',plain,
% 1.30/1.73 ( meet(X1,X2) = meet(X2,X1) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.20.0.1']),
% 1.30/1.73 [weight('<48,15,8,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.20.2.0',plain,
% 1.30/1.73 ( meet(X1,X2) = meet(X2,X1) ),
% 1.30/1.73 inference(activate,[status(thm)],['0.20.1.0']),
% 1.30/1.73 [equation_2]).
% 1.30/1.73 cnf('0.27.0.0',plain,
% 1.30/1.73 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.27.1.0',plain,
% 1.30/1.73 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.30/1.73 [weight('<59,6,3,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.27.2.0',plain,
% 1.30/1.73 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_25]).
% 1.30/1.73 cnf('0.28.0.0',plain,
% 1.30/1.73 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.2','L')]).
% 1.30/1.73 cnf('0.28.1.0',plain,
% 1.30/1.73 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.30/1.73 [weight('<59,6,3,[1,0,0,3]>')]).
% 1.30/1.73 cnf('0.28.2.0',plain,
% 1.30/1.73 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_26]).
% 1.30/1.73 cnf('0.29.0.0',plain,
% 1.30/1.73 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.28.2.0','0.1.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.29.0.1',plain,
% 1.30/1.73 ( composition(converse(one),X1) = X1 ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.29.0.0','0.3.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('0.29.1.0',plain,
% 1.30/1.73 ( composition(converse(one),X1) = X1 ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.29.0.1']),
% 1.30/1.73 [weight('<29,28,1,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.29.2.0',plain,
% 1.30/1.73 ( composition(converse(one),X1) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_27]).
% 1.30/1.73 cnf('0.30.0.0',plain,
% 1.30/1.73 ( one = converse(one) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.29.2.0','0.1.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.30.1.0',plain,
% 1.30/1.73 ( one = converse(one) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.30/1.73 [weight('<11,29,1,[1,0,0,0]>')]).
% 1.30/1.73 cnf('0.30.2.0',plain,
% 1.30/1.73 ( converse(one) = one ),
% 1.30/1.73 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_28]).
% 1.30/1.73 cnf('0.31.0.0',plain,
% 1.30/1.73 ( composition(converse(one),X1) = X1 ),
% 1.30/1.73 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 1.30/1.73 cnf('0.31.0.1',plain,
% 1.30/1.73 ( composition(one,X1) = X1 ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.31.1.0',plain,
% 1.30/1.73 ( composition(one,X1) = X1 ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.31.0.1']),
% 1.30/1.73 [weight('<19,29,30,[0,0,0,0]>')]).
% 1.30/1.73 cnf('0.31.2.0',plain,
% 1.30/1.73 ( composition(one,X1) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_29]).
% 1.30/1.73 cnf('0.34.0.0',plain,
% 1.30/1.73 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.11.2.0','0.31.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.2.2.1','L')]).
% 1.30/1.73 cnf('0.34.0.1',plain,
% 1.30/1.73 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.34.0.0','0.30.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2.1','L')]).
% 1.30/1.73 cnf('0.34.0.2',plain,
% 1.30/1.73 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.34.0.1','0.31.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2','L')]).
% 1.30/1.73 cnf('0.34.1.0',plain,
% 1.30/1.73 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.34.0.2']),
% 1.30/1.73 [weight('<47,31,11,[0,0,0,7]>')]).
% 1.30/1.73 cnf('0.34.2.0',plain,
% 1.30/1.73 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_32]).
% 1.30/1.73 cnf('0.35.0.0',plain,
% 1.30/1.73 ( complement(top) = join(zero,complement(top)) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.34.2.0','0.17.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.35.0.1',plain,
% 1.30/1.73 ( zero = join(zero,complement(top)) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.35.0.0','0.17.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.35.0.2',plain,
% 1.30/1.73 ( zero = join(zero,zero) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.35.0.1','0.17.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2','L')]).
% 1.30/1.73 cnf('0.35.1.0',plain,
% 1.30/1.73 ( zero = join(zero,zero) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.35.0.2']),
% 1.30/1.73 [weight('<19,34,17,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.35.2.0',plain,
% 1.30/1.73 ( join(zero,zero) = zero ),
% 1.30/1.73 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_33]).
% 1.30/1.73 cnf('0.38.0.0',plain,
% 1.30/1.73 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.15.2.0','0.34.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.38.1.0',plain,
% 1.30/1.73 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.38.0.0']),
% 1.30/1.73 [weight('<48,34,15,[0,0,0,1]>')]).
% 1.30/1.73 cnf('0.38.2.0',plain,
% 1.30/1.73 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.30/1.73 inference(activate,[status(thm)],['0.38.1.0']),
% 1.30/1.73 [equation_3]).
% 1.30/1.73 cnf('0.39.0.0',plain,
% 1.30/1.73 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.9.2.0','0.35.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.39.1.0',plain,
% 1.30/1.73 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.39.0.0']),
% 1.30/1.73 [weight('<53,35,9,[0,0,0,1]>')]).
% 1.30/1.73 cnf('0.39.2.0',plain,
% 1.30/1.73 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_36]).
% 1.30/1.73 cnf('0.43.0.0',plain,
% 1.30/1.73 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.43.1.0',plain,
% 1.30/1.73 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.43.0.0']),
% 1.30/1.73 [weight('<59,12,3,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.43.2.0',plain,
% 1.30/1.73 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_40]).
% 1.30/1.73 cnf('0.60.0.0',axiom,
% 1.30/1.73 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010')).
% 1.30/1.73 cnf('0.60.1.0',plain,
% 1.30/1.73 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.60.0.0']),
% 1.30/1.73 [weight('<0,0,0,[0,0,0,2]>')]).
% 1.30/1.73 cnf('0.60.1.1',plain,
% 1.30/1.73 ( X1 = join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.60.1.0','0.8.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('0.60.1.2',plain,
% 1.30/1.73 ( X1 = join(complement(join(complement(X1),X2)),meet(X1,X2)) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.60.1.1','0.15.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2','L')]).
% 1.30/1.73 cnf('0.60.1.3',plain,
% 1.30/1.73 ( X1 = join(meet(X1,X2),complement(join(complement(X1),X2))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.60.1.2','0.8.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('0.60.2.0',plain,
% 1.30/1.73 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.60.1.3',theory(equality)]),
% 1.30/1.73 [x,rule_57]).
% 1.30/1.73 cnf('0.61.0.0',plain,
% 1.30/1.73 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.60.2.0','0.16.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.61.0.1',plain,
% 1.30/1.73 ( X1 = join(zero,meet(X1,X1)) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.61.0.0','0.15.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2','L')]).
% 1.30/1.73 cnf('0.61.1.0',plain,
% 1.30/1.73 ( X1 = join(zero,meet(X1,X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.61.0.1']),
% 1.30/1.73 [weight('<41,60,16,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.61.2.0',plain,
% 1.30/1.73 ( join(zero,meet(X1,X1)) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_58]).
% 1.30/1.73 cnf('0.62.0.0',plain,
% 1.30/1.73 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.39.2.0','0.61.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.2','L')]).
% 1.30/1.73 cnf('0.62.0.1',plain,
% 1.30/1.73 ( X1 = join(zero,X1) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.62.0.0','0.61.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.62.1.0',plain,
% 1.30/1.73 ( X1 = join(zero,X1) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.62.0.1']),
% 1.30/1.73 [weight('<19,61,39,[0,0,0,2]>')]).
% 1.30/1.73 cnf('0.62.2.0',plain,
% 1.30/1.73 ( join(zero,X1) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_59]).
% 1.30/1.73 cnf('0.66.0.0',plain,
% 1.30/1.73 ( join(zero,meet(X1,X1)) = X1 ),
% 1.30/1.73 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 1.30/1.73 cnf('0.66.0.1',plain,
% 1.30/1.73 ( meet(X1,X1) = X1 ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.66.0.0','0.62.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.66.1.0',plain,
% 1.30/1.73 ( meet(X1,X1) = X1 ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.66.0.1']),
% 1.30/1.73 [weight('<19,61,62,[0,0,0,0]>')]).
% 1.30/1.73 cnf('0.66.2.0',plain,
% 1.30/1.73 ( meet(X1,X1) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_63]).
% 1.30/1.73 cnf('0.67.0.0',plain,
% 1.30/1.73 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.30/1.73 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 1.30/1.73 cnf('0.67.0.1',plain,
% 1.30/1.73 ( X1 = complement(complement(X1)) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.67.0.0','0.66.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.67.1.0',plain,
% 1.30/1.73 ( X1 = complement(complement(X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.67.0.1']),
% 1.30/1.73 [weight('<19,38,66,[0,0,0,0]>')]).
% 1.30/1.73 cnf('0.67.2.0',plain,
% 1.30/1.73 ( complement(complement(X1)) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_64]).
% 1.30/1.73 cnf('0.70.0.0',plain,
% 1.30/1.73 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.34.2.0','0.67.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.70.0.1',plain,
% 1.30/1.73 ( X1 = join(X1,complement(complement(X1))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.70.0.0','0.67.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.70.0.2',plain,
% 1.30/1.73 ( X1 = join(X1,X1) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.70.0.1','0.67.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2','L')]).
% 1.30/1.73 cnf('0.70.1.0',plain,
% 1.30/1.73 ( X1 = join(X1,X1) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.70.0.2']),
% 1.30/1.73 [weight('<19,67,34,[0,0,0,1]>')]).
% 1.30/1.73 cnf('0.70.2.0',plain,
% 1.30/1.73 ( join(X1,X1) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_67]).
% 1.30/1.73 cnf('0.78.0.0',plain,
% 1.30/1.73 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.9.2.0','0.70.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.78.1.0',plain,
% 1.30/1.73 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.78.0.0']),
% 1.30/1.73 [weight('<53,70,9,[0,0,0,1]>')]).
% 1.30/1.73 cnf('0.78.2.0',plain,
% 1.30/1.73 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_75]).
% 1.30/1.73 cnf('0.79.0.0',plain,
% 1.30/1.73 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.78.2.0','0.60.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.2','L')]).
% 1.30/1.73 cnf('0.79.0.1',plain,
% 1.30/1.73 ( X1 = join(meet(X1,X2),X1) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.79.0.0','0.60.2.0',theory(equality)]),
% 1.30/1.73 [pos('L','L')]).
% 1.30/1.73 cnf('0.79.1.0',plain,
% 1.30/1.73 ( X1 = join(meet(X1,X2),X1) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.79.0.1']),
% 1.30/1.73 [weight('<41,78,60,[1,0,0,2]>')]).
% 1.30/1.73 cnf('0.79.1.1',plain,
% 1.30/1.73 ( X1 = join(X1,meet(X1,X2)) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.79.1.0','0.8.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('0.79.2.0',plain,
% 1.30/1.73 ( join(X1,meet(X1,X2)) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.79.1.1',theory(equality)]),
% 1.30/1.73 [x,rule_76]).
% 1.30/1.73 cnf('0.80.0.0',plain,
% 1.30/1.73 ( X1 = join(X1,meet(X2,X1)) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.79.2.0','0.20.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.2','L')]).
% 1.30/1.73 cnf('0.80.1.0',plain,
% 1.30/1.73 ( X1 = join(X1,meet(X2,X1)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.80.0.0']),
% 1.30/1.73 [weight('<41,79,20,[1,0,0,2]>')]).
% 1.30/1.73 cnf('0.80.2.0',plain,
% 1.30/1.73 ( join(X1,meet(X2,X1)) = X1 ),
% 1.30/1.73 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_77]).
% 1.30/1.73 cnf('0.417.0.0',plain,
% 1.30/1.73 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.2','L')]).
% 1.30/1.73 cnf('0.417.1.0',plain,
% 1.30/1.73 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.417.0.0']),
% 1.30/1.73 [weight('<?,6,5,[0,0,0,4]>')]).
% 1.30/1.73 cnf('0.417.2.0',plain,
% 1.30/1.73 ( join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.417.1.0',theory(equality)]),
% 1.30/1.73 [x,rule_412]).
% 1.30/1.73 cnf('0.1438.0.0',plain,
% 1.30/1.73 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.12.2.0','0.28.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.1438.1.0',plain,
% 1.30/1.73 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.1438.0.0']),
% 1.30/1.73 [weight('<119,28,12,[0,0,0,1]>')]).
% 1.30/1.73 cnf('0.1438.2.0',plain,
% 1.30/1.73 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.1438.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_1426]).
% 1.30/1.73 cnf('0.1439.0.0',plain,
% 1.30/1.73 ( join(composition(converse(converse(X1)),X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 1.30/1.73 inference(cp,[status(thm)],['0.1438.2.0','0.417.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('0.1439.0.1',plain,
% 1.30/1.73 ( join(composition(X1,X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.1439.0.0','0.3.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1.1','L')]).
% 1.30/1.73 cnf('0.1439.0.2',plain,
% 1.30/1.73 ( join(composition(X1,X2),composition(X1,X3)) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.1439.0.1','0.3.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.2','L')]).
% 1.30/1.73 cnf('0.1439.0.3',plain,
% 1.30/1.73 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,converse(join(converse(X2),converse(X3)))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.1439.0.2','0.27.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('0.1439.0.4',plain,
% 1.30/1.73 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,converse(converse(X3)))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.1439.0.3','0.43.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2','L')]).
% 1.30/1.73 cnf('0.1439.0.5',plain,
% 1.30/1.73 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 1.30/1.73 inference(reduction,[status(thm)],['0.1439.0.4','0.3.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2.2','L')]).
% 1.30/1.73 cnf('0.1439.1.0',plain,
% 1.30/1.73 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 1.30/1.73 inference(weigh,[status(thm)],['0.1439.0.5']),
% 1.30/1.73 [weight('<103,1438,417,[1,0,0,1]>')]).
% 1.30/1.73 cnf('0.1439.2.0',plain,
% 1.30/1.73 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 1.30/1.73 inference(orient,[status(thm)],['0.1439.1.0',theory(equality)]),
% 1.30/1.73 [u,rule_1427]).
% 1.30/1.73 cnf('1.0.0.0',conjecture,
% 1.30/1.73 ( composition(meet(sk1,converse(sk2)),sk3) = join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) ),
% 1.30/1.73 file('/tmp/WALDMEISTER_31527_n010',conjecture_1)).
% 1.30/1.73 cnf('1.0.0.1',plain,
% 1.30/1.73 ( composition(meet(sk1,converse(sk2)),sk3) = join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('1.0.0.2',plain,
% 1.30/1.73 ( composition(meet(converse(sk2),sk1),sk3) = join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['1.0.0.1','0.20.2.0',theory(equality)]),
% 1.30/1.73 [pos('L.1','L')]).
% 1.30/1.73 cnf('1.0.0.3',plain,
% 1.30/1.73 ( composition(meet(converse(sk2),sk1),sk3) = join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(converse(sk2),sk1),meet(sk2,sk3))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['1.0.0.2','0.20.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2.1','L')]).
% 1.30/1.73 cnf('1.0.0.4',plain,
% 1.30/1.73 ( composition(meet(converse(sk2),sk1),sk3) = join(composition(meet(converse(sk2),sk1),sk3),composition(meet(converse(sk2),sk1),meet(sk2,sk3))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['1.0.0.3','0.20.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.1.1','L')]).
% 1.30/1.73 cnf('1.0.0.5',plain,
% 1.30/1.73 ( composition(meet(converse(sk2),sk1),sk3) = composition(meet(converse(sk2),sk1),join(sk3,meet(sk2,sk3))) ),
% 1.30/1.73 inference(reduction,[status(thm)],['1.0.0.4','0.1439.2.0',theory(equality)]),
% 1.30/1.73 [pos('R','L')]).
% 1.30/1.73 cnf('1.0.0.6',plain,
% 1.30/1.73 ( composition(meet(converse(sk2),sk1),sk3) = composition(meet(converse(sk2),sk1),sk3) ),
% 1.30/1.73 inference(reduction,[status(thm)],['1.0.0.5','0.80.2.0',theory(equality)]),
% 1.30/1.73 [pos('R.2','L')]).
% 1.30/1.73 cnf('1.0.0.7',plain,
% 1.30/1.73 ( $true ),
% 1.30/1.73 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 1.30/1.73 [conjecture_1]).
% 1.30/1.73
% 1.30/1.73 Proved Goals:
% 1.30/1.73 No. 1: composition(meet(sk1,converse(sk2)),sk3) ?= join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) joined, current: composition(meet(converse(sk2),sk1),sk3) = composition(meet(converse(sk2),sk1),sk3)
% 1.30/1.73 1 goal was specified, which was proved.
% 1.30/1.73 % SZS output end CNFRefutation
% 1.30/1.73 #END OF PROOF
% 1.30/1.73
% 1.30/1.73 Problem WALDMEISTER_31527_n010
% 1.30/1.73 CPs.gen 267691
% 1.30/1.73 CPs.reexp 0
% 1.30/1.73 Select 16269
% 1.30/1.73 R 1427
% 1.30/1.73 E 12
% 1.30/1.73 vsize 7.1M
% 1.30/1.73 rss 4.7M
% 1.30/1.73 process.time 0.738s
% 1.30/1.73 wallclock.time 0.738s
% 1.30/1.73 status S
% 1.30/1.73
% 1.30/1.73
% 1.30/1.73 Waldmeister states: Goal proved.
% 1.30/1.73 % SZS status Unsatisfiable
%------------------------------------------------------------------------------