TSTP Solution File: LAT143-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 : Sun Jul 17 07:15:21 EDT 2022
% Result : Unsatisfiable 0.71s 1.12s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n018.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 : Thu Jun 30 13:09:01 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) meet(a,join(meet(a,b),meet(a,c))) ?=? meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))
% 0.58/0.97
% 0.58/0.97 Detected structure: Verband
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.71/1.12 joined goal: 1 meet(a,join(meet(a,b),meet(a,c))) ?= meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) to join(meet(b,a),meet(a,c))
% 0.71/1.12 goal joined
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 #START OF PROOF
% 0.71/1.12 % SZS output start CNFRefutation
% 0.71/1.12 cnf('0.2.0.0',axiom,
% 0.71/1.12 ( X1 = meet(X1,join(X1,X2)) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018')).
% 0.71/1.12 cnf('0.2.1.0',plain,
% 0.71/1.12 ( X1 = meet(X1,join(X1,X2)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.71/1.12 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.71/1.12 cnf('0.2.2.0',plain,
% 0.71/1.12 ( meet(X1,join(X1,X2)) = X1 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_2]).
% 0.71/1.12 cnf('0.4.0.0',axiom,
% 0.71/1.12 ( X1 = join(X1,meet(X1,X2)) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018')).
% 0.71/1.12 cnf('0.4.1.0',plain,
% 0.71/1.12 ( X1 = join(X1,meet(X1,X2)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.71/1.12 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.71/1.12 cnf('0.4.2.0',plain,
% 0.71/1.12 ( join(X1,meet(X1,X2)) = X1 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_4]).
% 0.71/1.12 cnf('0.5.0.0',axiom,
% 0.71/1.12 ( meet(X1,X2) = meet(X2,X1) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018')).
% 0.71/1.12 cnf('0.5.1.0',plain,
% 0.71/1.12 ( meet(X1,X2) = meet(X2,X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.71/1.12 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.71/1.12 cnf('0.5.2.0',plain,
% 0.71/1.12 ( meet(X1,X2) = meet(X2,X1) ),
% 0.71/1.12 inference(activate,[status(thm)],['0.5.1.0']),
% 0.71/1.12 [equation_1]).
% 0.71/1.12 cnf('0.6.0.0',axiom,
% 0.71/1.12 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018')).
% 0.71/1.12 cnf('0.6.1.0',plain,
% 0.71/1.12 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.71/1.12 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.71/1.12 cnf('0.6.2.0',plain,
% 0.71/1.12 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_5]).
% 0.71/1.12 cnf('0.7.0.0',axiom,
% 0.71/1.12 ( join(X1,X2) = join(X2,X1) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018')).
% 0.71/1.12 cnf('0.7.1.0',plain,
% 0.71/1.12 ( join(X1,X2) = join(X2,X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.71/1.12 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.71/1.12 cnf('0.7.2.0',plain,
% 0.71/1.12 ( join(X1,X2) = join(X2,X1) ),
% 0.71/1.12 inference(activate,[status(thm)],['0.7.1.0']),
% 0.71/1.12 [equation_2]).
% 0.71/1.12 cnf('0.8.0.0',axiom,
% 0.71/1.12 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018')).
% 0.71/1.12 cnf('0.8.1.0',plain,
% 0.71/1.12 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.71/1.12 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.71/1.12 cnf('0.8.2.0',plain,
% 0.71/1.12 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_6]).
% 0.71/1.12 cnf('0.9.0.0',axiom,
% 0.71/1.12 ( join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018')).
% 0.71/1.12 cnf('0.9.1.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.71/1.12 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.71/1.12 cnf('0.9.2.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))) = join(meet(X1,X2),meet(X2,X3)) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_7]).
% 0.71/1.12 cnf('0.10.0.0',plain,
% 0.71/1.12 ( X1 = join(X1,meet(X2,X1)) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.2','L')]).
% 0.71/1.12 cnf('0.10.1.0',plain,
% 0.71/1.12 ( X1 = join(X1,meet(X2,X1)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.71/1.12 [weight('<5,5,4,[0,0,0,2]>')]).
% 0.71/1.12 cnf('0.10.2.0',plain,
% 0.71/1.12 ( join(X1,meet(X2,X1)) = X1 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_8]).
% 0.71/1.12 cnf('0.12.0.0',plain,
% 0.71/1.12 ( X1 = meet(X1,join(X2,X1)) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.2','L')]).
% 0.71/1.12 cnf('0.12.1.0',plain,
% 0.71/1.12 ( X1 = meet(X1,join(X2,X1)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.71/1.12 [weight('<5,7,2,[0,0,0,2]>')]).
% 0.71/1.12 cnf('0.12.2.0',plain,
% 0.71/1.12 ( meet(X1,join(X2,X1)) = X1 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_10]).
% 0.71/1.12 cnf('0.16.0.0',plain,
% 0.71/1.12 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.16.1.0',plain,
% 0.71/1.12 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.71/1.12 [weight('<7,6,2,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.16.2.0',plain,
% 0.71/1.12 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.71/1.12 [u,rule_14]).
% 0.71/1.12 cnf('0.17.0.0',plain,
% 0.71/1.12 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.17.1.0',plain,
% 0.71/1.12 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.71/1.12 [weight('<7,8,4,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.17.2.0',plain,
% 0.71/1.12 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.71/1.12 [u,rule_15]).
% 0.71/1.12 cnf('0.28.0.0',plain,
% 0.71/1.12 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.2','L')]).
% 0.71/1.12 cnf('0.28.1.0',plain,
% 0.71/1.12 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.71/1.12 [weight('<7,16,5,[1,0,0,2]>')]).
% 0.71/1.12 cnf('0.28.2.0',plain,
% 0.71/1.12 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_26]).
% 0.71/1.12 cnf('0.34.0.0',plain,
% 0.71/1.12 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.71/1.12 [pos('L','L')]).
% 0.71/1.12 cnf('0.34.1.0',plain,
% 0.71/1.12 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.71/1.12 [weight('<9,6,2,[1,0,0,0]>')]).
% 0.71/1.12 cnf('0.34.2.0',plain,
% 0.71/1.12 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.71/1.12 [u,rule_32]).
% 0.71/1.12 cnf('0.45.0.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.2','L')]).
% 0.71/1.12 cnf('0.45.1.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.71/1.12 [weight('<9,17,12,[0,0,0,2]>')]).
% 0.71/1.12 cnf('0.45.1.1',plain,
% 0.71/1.12 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.45.1.0','0.5.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.45.2.0',plain,
% 0.71/1.12 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 0.71/1.12 [x,rule_43]).
% 0.71/1.12 cnf('0.82.0.0',plain,
% 0.71/1.12 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.10.2.0','0.28.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.2','L')]).
% 0.71/1.12 cnf('0.82.1.0',plain,
% 0.71/1.12 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.82.0.0']),
% 0.71/1.12 [weight('<9,28,10,[0,0,0,2]>')]).
% 0.71/1.12 cnf('0.82.1.1',plain,
% 0.71/1.12 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.82.1.0','0.7.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.82.2.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.82.1.1',theory(equality)]),
% 0.71/1.12 [x,rule_80]).
% 0.71/1.12 cnf('0.106.0.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.45.2.0','0.4.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.106.1.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.71/1.12 [weight('<9,45,4,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.106.2.0',plain,
% 0.71/1.12 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_104]).
% 0.71/1.12 cnf('0.192.0.0',plain,
% 0.71/1.12 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X2,X1),X3)),meet(X2,X1)) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.10.2.0','0.34.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.2','L')]).
% 0.71/1.12 cnf('0.192.1.0',plain,
% 0.71/1.12 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X2,X1),X3)),meet(X2,X1)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.192.0.0']),
% 0.71/1.12 [weight('<11,34,10,[0,0,0,2]>')]).
% 0.71/1.12 cnf('0.192.1.1',plain,
% 0.71/1.12 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(X1,join(meet(X2,X1),X3))) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.192.1.0','0.7.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.192.2.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X2,join(meet(X1,X2),X3)) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.192.1.1',theory(equality)]),
% 0.71/1.12 [x,rule_184]).
% 0.71/1.12 cnf('0.193.0.0',plain,
% 0.71/1.12 ( join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))) = join(meet(X1,X2),meet(X2,X3)) ),
% 0.71/1.12 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.71/1.12 cnf('0.193.0.1',plain,
% 0.71/1.12 ( meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X2),meet(X2,X3)) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.193.0.0','0.192.2.0',theory(equality)]),
% 0.71/1.12 [pos('L','L')]).
% 0.71/1.12 cnf('0.193.1.0',plain,
% 0.71/1.12 ( meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X2),meet(X2,X3)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.193.0.1']),
% 0.71/1.12 [weight('<11,9,192,[0,0,0,0]>')]).
% 0.71/1.12 cnf('0.193.2.0',plain,
% 0.71/1.12 ( meet(X1,join(meet(X2,X1),meet(X3,join(X2,X1)))) = join(meet(X2,X1),meet(X1,X3)) ),
% 0.71/1.12 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 0.71/1.12 [u,rule_185]).
% 0.71/1.12 cnf('1.0.0.0',conjecture,
% 0.71/1.12 ( meet(a,join(meet(a,b),meet(a,c))) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_8936_n018',conjecture_1)).
% 0.71/1.12 cnf('1.0.0.1',plain,
% 0.71/1.12 ( join(meet(a,b),meet(a,c)) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
% 0.71/1.12 inference(reduction,[status(thm)],['1.0.0.0','0.106.2.0',theory(equality)]),
% 0.71/1.12 [pos('L','L')]).
% 0.71/1.12 cnf('1.0.0.2',plain,
% 0.71/1.12 ( join(meet(b,a),meet(a,c)) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
% 0.71/1.12 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('1.0.0.3',plain,
% 0.71/1.12 ( join(meet(b,a),meet(a,c)) = meet(a,join(meet(b,a),join(meet(a,c),meet(c,join(a,b))))) ),
% 0.71/1.12 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 0.71/1.12 [pos('R.2.1','L')]).
% 0.71/1.12 cnf('1.0.0.4',plain,
% 0.71/1.12 ( join(meet(b,a),meet(a,c)) = meet(a,join(meet(b,a),meet(c,join(a,b)))) ),
% 0.71/1.12 inference(reduction,[status(thm)],['1.0.0.3','0.82.2.0',theory(equality)]),
% 0.71/1.12 [pos('R.2.2','L')]).
% 0.71/1.12 cnf('1.0.0.5',plain,
% 0.71/1.12 ( join(meet(b,a),meet(a,c)) = meet(a,join(meet(b,a),meet(c,join(b,a)))) ),
% 0.71/1.12 inference(reduction,[status(thm)],['1.0.0.4','0.7.2.0',theory(equality)]),
% 0.71/1.12 [pos('R.2.2.2','L')]).
% 0.71/1.12 cnf('1.0.0.6',plain,
% 0.71/1.12 ( join(meet(b,a),meet(a,c)) = join(meet(b,a),meet(a,c)) ),
% 0.71/1.12 inference(reduction,[status(thm)],['1.0.0.5','0.193.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('1.0.0.7',plain,
% 0.71/1.12 ( $true ),
% 0.71/1.12 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 0.71/1.12 [conjecture_1]).
% 0.71/1.12
% 0.71/1.12 Proved Goals:
% 0.71/1.12 No. 1: meet(a,join(meet(a,b),meet(a,c))) ?= meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) joined, current: join(meet(b,a),meet(a,c)) = join(meet(b,a),meet(a,c))
% 0.71/1.12 1 goal was specified, which was proved.
% 0.71/1.12 % SZS output end CNFRefutation
% 0.71/1.12 #END OF PROOF
% 0.71/1.12
% 0.71/1.12 Problem WALDMEISTER_8936_n018
% 0.71/1.12 CPs.gen 32076
% 0.71/1.12 CPs.reexp 0
% 0.71/1.12 Select 2268
% 0.71/1.12 R 185
% 0.71/1.12 E 8
% 0.71/1.12 vsize 6.5M
% 0.71/1.12 rss 3.8M
% 0.71/1.12 process.time 0.150s
% 0.71/1.12 wallclock.time 0.150s
% 0.71/1.12 status S
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Waldmeister states: Goal proved.
% 0.71/1.12 % SZS status Unsatisfiable
%------------------------------------------------------------------------------