TSTP Solution File: LAT028-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 07:14:48 EDT 2022
% Result : Unsatisfiable 0.58s 0.98s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 29 23:13:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.95 * |/ | \/ | *
% 0.54/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.95 * A. Jaeger and B. Loechner | | *
% 0.54/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Goals:
% 0.54/0.95 ------
% 0.54/0.95
% 0.54/0.95 ( 1) meet(a,b) ?=? meet2(a,b)
% 0.54/0.95
% 0.54/0.95 Detected structure: Orkus
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.58/0.98 joined goal: 1 meet(a,b) ?= meet2(a,b) to meet2(b,a)
% 0.58/0.98 goal joined
% 0.58/0.98 % SZS status Unsatisfiable
% 0.58/0.98 #START OF PROOF
% 0.58/0.98 % SZS output start CNFRefutation
% 0.58/0.98 cnf('0.1.0.0',axiom,
% 0.58/0.98 ( X1 = join(X1,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.1.1.0',plain,
% 0.58/0.98 ( X1 = join(X1,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.98 cnf('0.1.2.0',plain,
% 0.58/0.98 ( join(X1,X1) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_1]).
% 0.58/0.98 cnf('0.2.0.0',axiom,
% 0.58/0.98 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.2.1.0',plain,
% 0.58/0.98 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.98 cnf('0.2.2.0',plain,
% 0.58/0.98 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_2]).
% 0.58/0.98 cnf('0.3.0.0',axiom,
% 0.58/0.98 ( X1 = join(join(meet2(X2,X1),meet2(X3,X1)),X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.3.1.0',plain,
% 0.58/0.98 ( X1 = join(join(meet2(X2,X1),meet2(X3,X1)),X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.98 cnf('0.3.2.0',plain,
% 0.58/0.98 ( join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_3]).
% 0.58/0.98 cnf('0.5.0.0',axiom,
% 0.58/0.98 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.5.1.0',plain,
% 0.58/0.98 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.98 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.58/0.98 cnf('0.5.2.0',plain,
% 0.58/0.98 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_5]).
% 0.58/0.98 cnf('0.6.0.0',axiom,
% 0.58/0.98 ( X1 = meet2(X1,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.6.1.0',plain,
% 0.58/0.98 ( X1 = meet2(X1,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/0.98 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.58/0.98 cnf('0.6.2.0',plain,
% 0.58/0.98 ( meet2(X1,X1) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_6]).
% 0.58/0.98 cnf('0.7.0.0',axiom,
% 0.58/0.98 ( X1 = meet2(meet2(join(X2,X1),join(X3,X1)),X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.7.1.0',plain,
% 0.58/0.98 ( X1 = meet2(meet2(join(X2,X1),join(X3,X1)),X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/0.98 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.58/0.98 cnf('0.7.2.0',plain,
% 0.58/0.98 ( meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_7]).
% 0.58/0.98 cnf('0.8.0.0',axiom,
% 0.58/0.98 ( join(X1,X2) = join(X2,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.8.1.0',plain,
% 0.58/0.98 ( join(X1,X2) = join(X2,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.98 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.58/0.98 cnf('0.8.2.0',plain,
% 0.58/0.98 ( join(X1,X2) = join(X2,X1) ),
% 0.58/0.98 inference(activate,[status(thm)],['0.8.1.0']),
% 0.58/0.98 [equation_1]).
% 0.58/0.98 cnf('0.9.0.0',axiom,
% 0.58/0.98 ( meet(X1,X2) = meet(X2,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.9.1.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet(X2,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/0.98 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.58/0.98 cnf('0.9.2.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet(X2,X1) ),
% 0.58/0.98 inference(activate,[status(thm)],['0.9.1.0']),
% 0.58/0.98 [equation_2]).
% 0.58/0.98 cnf('0.10.0.0',axiom,
% 0.58/0.98 ( meet2(X1,X2) = meet2(X2,X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017')).
% 0.58/0.98 cnf('0.10.1.0',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet2(X2,X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/0.98 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.58/0.98 cnf('0.10.2.0',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet2(X2,X1) ),
% 0.58/0.98 inference(activate,[status(thm)],['0.10.1.0']),
% 0.58/0.98 [equation_3]).
% 0.58/0.98 cnf('0.11.0.0',plain,
% 0.58/0.98 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.58/0.98 cnf('0.11.1.0',plain,
% 0.58/0.98 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.98 [weight('<109,2,8,[0,0,0,0]>')]).
% 0.58/0.98 cnf('0.11.1.1',plain,
% 0.58/0.98 ( join(X2,join(meet(X1,X2),meet(X3,X2))) = X2 ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.11.1.0','0.8.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.11.2.0',plain,
% 0.58/0.98 ( join(X1,join(meet(X2,X1),meet(X3,X1))) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.58/0.98 [u,rule_8]).
% 0.58/0.98 cnf('0.12.0.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet(X2,X1)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.12.1.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet(X2,X1)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/0.98 [weight('<41,11,1,[1,0,0,2]>')]).
% 0.58/0.98 cnf('0.12.2.0',plain,
% 0.58/0.98 ( join(X1,meet(X2,X1)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_9]).
% 0.58/0.98 cnf('0.13.0.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet(X1,X2)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.13.1.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet(X1,X2)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.58/0.98 [weight('<41,12,9,[1,0,0,2]>')]).
% 0.58/0.98 cnf('0.13.2.0',plain,
% 0.58/0.98 ( join(X1,meet(X1,X2)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_10]).
% 0.58/0.98 cnf('0.14.0.0',plain,
% 0.58/0.98 ( join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.58/0.98 cnf('0.14.1.0',plain,
% 0.58/0.98 ( join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.58/0.98 [weight('<109,3,8,[0,0,0,0]>')]).
% 0.58/0.98 cnf('0.14.1.1',plain,
% 0.58/0.98 ( join(X2,join(meet2(X1,X2),meet2(X3,X2))) = X2 ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.14.1.0','0.8.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.14.2.0',plain,
% 0.58/0.98 ( join(X1,join(meet2(X2,X1),meet2(X3,X1))) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.14.1.1',theory(equality)]),
% 0.58/0.98 [u,rule_11]).
% 0.58/0.98 cnf('0.15.0.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet2(X2,X1)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.14.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.15.1.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet2(X2,X1)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.58/0.98 [weight('<41,14,1,[1,0,0,2]>')]).
% 0.58/0.98 cnf('0.15.2.0',plain,
% 0.58/0.98 ( join(X1,meet2(X2,X1)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_12]).
% 0.58/0.98 cnf('0.16.0.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet2(X1,X2)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.16.1.0',plain,
% 0.58/0.98 ( X1 = join(X1,meet2(X1,X2)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.58/0.98 [weight('<41,15,10,[1,0,0,2]>')]).
% 0.58/0.98 cnf('0.16.2.0',plain,
% 0.58/0.98 ( join(X1,meet2(X1,X2)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_13]).
% 0.58/0.98 cnf('0.17.0.0',plain,
% 0.58/0.98 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.58/0.98 cnf('0.17.1.0',plain,
% 0.58/0.98 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.58/0.98 [weight('<109,5,9,[0,0,0,0]>')]).
% 0.58/0.98 cnf('0.17.1.1',plain,
% 0.58/0.98 ( meet(X2,meet(join(X1,X2),join(X3,X2))) = X2 ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.17.1.0','0.9.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.17.2.0',plain,
% 0.58/0.98 ( meet(X1,meet(join(X2,X1),join(X3,X1))) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.17.1.1',theory(equality)]),
% 0.58/0.98 [u,rule_14]).
% 0.58/0.98 cnf('0.26.0.0',plain,
% 0.58/0.98 ( meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.58/0.98 cnf('0.26.1.0',plain,
% 0.58/0.98 ( meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.58/0.98 [weight('<109,7,10,[0,0,0,0]>')]).
% 0.58/0.98 cnf('0.26.1.1',plain,
% 0.58/0.98 ( meet2(X2,meet2(join(X1,X2),join(X3,X2))) = X2 ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.26.1.0','0.10.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.26.2.0',plain,
% 0.58/0.98 ( meet2(X1,meet2(join(X2,X1),join(X3,X1))) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.26.1.1',theory(equality)]),
% 0.58/0.98 [u,rule_23]).
% 0.58/0.98 cnf('0.27.0.0',plain,
% 0.58/0.98 ( X1 = meet2(X1,join(X2,X1)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.26.2.0','0.6.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.27.1.0',plain,
% 0.58/0.98 ( X1 = meet2(X1,join(X2,X1)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.58/0.98 [weight('<41,26,6,[1,0,0,2]>')]).
% 0.58/0.98 cnf('0.27.2.0',plain,
% 0.58/0.98 ( meet2(X1,join(X2,X1)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_24]).
% 0.58/0.98 cnf('0.29.0.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(meet(X1,X2),X2) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.27.2.0','0.12.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.29.1.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(meet(X1,X2),X2) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.58/0.98 [weight('<53,27,12,[1,0,0,2]>')]).
% 0.58/0.98 cnf('0.29.1.1',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(X2,meet(X1,X2)) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.29.1.0','0.10.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('0.29.2.0',plain,
% 0.58/0.98 ( meet2(X1,meet(X2,X1)) = meet(X2,X1) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.29.1.1',theory(equality)]),
% 0.58/0.98 [x,rule_26]).
% 0.58/0.98 cnf('0.111.0.0',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet(meet2(X1,X2),meet(X2,join(X3,meet2(X1,X2)))) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.17.2.0','0.15.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2.1','L')]).
% 0.58/0.98 cnf('0.111.1.0',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet(meet2(X1,X2),meet(X2,join(X3,meet2(X1,X2)))) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.111.0.0']),
% 0.58/0.98 [weight('<179,17,15,[1,0,0,3]>')]).
% 0.58/0.98 cnf('0.111.2.0',plain,
% 0.58/0.98 ( meet(meet2(X1,X2),meet(X2,join(X3,meet2(X1,X2)))) = meet2(X1,X2) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_108]).
% 0.58/0.98 cnf('0.112.0.0',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet(meet2(X1,X2),meet(X2,X1)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.111.2.0','0.16.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2.2','L')]).
% 0.58/0.98 cnf('0.112.1.0',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet(meet2(X1,X2),meet(X2,X1)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.112.0.0']),
% 0.58/0.98 [weight('<87,111,16,[1,0,0,6]>')]).
% 0.58/0.98 cnf('0.112.2.0',plain,
% 0.58/0.98 ( meet(meet2(X1,X2),meet(X2,X1)) = meet2(X1,X2) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_109]).
% 0.58/0.98 cnf('0.115.0.0',plain,
% 0.58/0.98 ( meet(meet2(X1,X2),meet(X2,X1)) = meet2(meet(X2,X1),meet2(X1,X2)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.29.2.0','0.112.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.115.0.1',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet2(meet(X2,X1),meet2(X1,X2)) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.115.0.0','0.112.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.115.1.0',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet2(meet(X2,X1),meet2(X1,X2)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.115.0.1']),
% 0.58/0.98 [weight('<87,112,29,[0,0,0,2]>')]).
% 0.58/0.98 cnf('0.115.1.1',plain,
% 0.58/0.98 ( meet2(X1,X2) = meet2(meet2(X1,X2),meet(X2,X1)) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.115.1.0','0.10.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('0.115.2.0',plain,
% 0.58/0.98 ( meet2(meet2(X1,X2),meet(X2,X1)) = meet2(X1,X2) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.115.1.1',theory(equality)]),
% 0.58/0.98 [x,rule_112]).
% 0.58/0.98 cnf('0.121.0.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(meet(X1,X2),meet2(X2,join(X3,meet(X1,X2)))) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.26.2.0','0.12.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2.1','L')]).
% 0.58/0.98 cnf('0.121.1.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(meet(X1,X2),meet2(X2,join(X3,meet(X1,X2)))) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.121.0.0']),
% 0.58/0.98 [weight('<179,26,12,[1,0,0,3]>')]).
% 0.58/0.98 cnf('0.121.2.0',plain,
% 0.58/0.98 ( meet2(meet(X1,X2),meet2(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_118]).
% 0.58/0.98 cnf('0.122.0.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(meet(X1,X2),meet2(X2,X1)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.121.2.0','0.13.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2.2','L')]).
% 0.58/0.98 cnf('0.122.1.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(meet(X1,X2),meet2(X2,X1)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.122.0.0']),
% 0.58/0.98 [weight('<87,121,13,[1,0,0,6]>')]).
% 0.58/0.98 cnf('0.122.1.1',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(meet2(X2,X1),meet(X1,X2)) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.122.1.0','0.10.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('0.122.1.2',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(X2,X1) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.122.1.1','0.115.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('0.122.2.0',plain,
% 0.58/0.98 ( meet(X1,X2) = meet2(X2,X1) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.122.1.2',theory(equality)]),
% 0.58/0.98 [u,rule_119]).
% 0.58/0.98 cnf('1.0.0.0',conjecture,
% 0.58/0.98 ( meet(a,b) = meet2(a,b) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_14960_n017',conjecture_1)).
% 0.58/0.98 cnf('1.0.0.1',plain,
% 0.58/0.98 ( meet(a,b) = meet2(b,a) ),
% 0.58/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.58/0.98 [pos('R','L')]).
% 0.58/0.98 cnf('1.0.0.2',plain,
% 0.58/0.98 ( meet2(b,a) = meet2(b,a) ),
% 0.58/0.98 inference(reduction,[status(thm)],['1.0.0.1','0.122.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('1.0.0.3',plain,
% 0.58/0.98 ( $true ),
% 0.58/0.98 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.58/0.98 [conjecture_1]).
% 0.58/0.98
% 0.58/0.98 Proved Goals:
% 0.58/0.98 No. 1: meet(a,b) ?= meet2(a,b) joined, current: meet2(b,a) = meet2(b,a)
% 0.58/0.98 1 goal was specified, which was proved.
% 0.58/0.98 % SZS output end CNFRefutation
% 0.58/0.98 #END OF PROOF
% 0.58/0.98
% 0.58/0.98 Problem WALDMEISTER_14960_n017
% 0.58/0.98 CPs.gen 8741
% 0.58/0.98 CPs.reexp 0
% 0.58/0.98 Select 1580
% 0.58/0.98 R 119
% 0.58/0.98 E 3
% 0.58/0.98 vsize 6.5M
% 0.58/0.98 rss 3.8M
% 0.58/0.98 process.time 0.036s
% 0.58/0.98 wallclock.time 0.036s
% 0.58/0.98 status S
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Waldmeister states: Goal proved.
% 0.58/0.98 % SZS status Unsatisfiable
%------------------------------------------------------------------------------