TSTP Solution File: LAT154-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT154-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n003.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 07:15:24 EDT 2022
% Result : Unsatisfiable 192.83s 193.25s
% Output : CNFRefutation 192.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT154-1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 03:08:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.98 * |/ | \/ | *
% 0.60/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.98 * A. Jaeger and B. Loechner | | *
% 0.60/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 0.60/0.98
% 0.60/0.98 Goals:
% 0.60/0.98 ------
% 0.60/0.98
% 0.60/0.98 ( 1) meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?=? meet(a,join(b,meet(a,c)))
% 0.60/0.98
% 0.60/0.98 Detected structure: Verband
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 192.83/193.25 joined goal: 1 meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) to meet(a,join(b,meet(c,a)))
% 192.83/193.25 goal joined
% 192.83/193.25 % SZS status Unsatisfiable
% 192.83/193.25 #START OF PROOF
% 192.83/193.25 % SZS output start CNFRefutation
% 192.83/193.25 cnf('0.1.0.0',axiom,
% 192.83/193.25 ( X1 = join(X1,X1) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.1.1.0',plain,
% 192.83/193.25 ( X1 = join(X1,X1) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.1.0.0']),
% 192.83/193.25 [weight('<0,0,0,[0,0,0,1]>')]).
% 192.83/193.25 cnf('0.1.2.0',plain,
% 192.83/193.25 ( join(X1,X1) = X1 ),
% 192.83/193.25 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_1]).
% 192.83/193.25 cnf('0.2.0.0',axiom,
% 192.83/193.25 ( X1 = join(X1,meet(X1,X2)) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.2.1.0',plain,
% 192.83/193.25 ( X1 = join(X1,meet(X1,X2)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.2.0.0']),
% 192.83/193.25 [weight('<1,0,0,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.2.2.0',plain,
% 192.83/193.25 ( join(X1,meet(X1,X2)) = X1 ),
% 192.83/193.25 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_2]).
% 192.83/193.25 cnf('0.3.0.0',axiom,
% 192.83/193.25 ( X1 = meet(X1,X1) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.3.1.0',plain,
% 192.83/193.25 ( X1 = meet(X1,X1) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.3.0.0']),
% 192.83/193.25 [weight('<2,0,0,[0,0,0,3]>')]).
% 192.83/193.25 cnf('0.3.2.0',plain,
% 192.83/193.25 ( meet(X1,X1) = X1 ),
% 192.83/193.25 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_3]).
% 192.83/193.25 cnf('0.4.0.0',axiom,
% 192.83/193.25 ( X1 = meet(X1,join(X1,X2)) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.4.1.0',plain,
% 192.83/193.25 ( X1 = meet(X1,join(X1,X2)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.4.0.0']),
% 192.83/193.25 [weight('<3,0,0,[0,0,0,4]>')]).
% 192.83/193.25 cnf('0.4.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X1,X2)) = X1 ),
% 192.83/193.25 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_4]).
% 192.83/193.25 cnf('0.5.0.0',axiom,
% 192.83/193.25 ( join(X1,X2) = join(X2,X1) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.5.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X2,X1) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.5.0.0']),
% 192.83/193.25 [weight('<4,0,0,[0,0,0,5]>')]).
% 192.83/193.25 cnf('0.5.2.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X2,X1) ),
% 192.83/193.25 inference(activate,[status(thm)],['0.5.1.0']),
% 192.83/193.25 [equation_1]).
% 192.83/193.25 cnf('0.6.0.0',axiom,
% 192.83/193.25 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.6.1.0',plain,
% 192.83/193.25 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.6.0.0']),
% 192.83/193.25 [weight('<5,0,0,[0,0,0,6]>')]).
% 192.83/193.25 cnf('0.6.2.0',plain,
% 192.83/193.25 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_5]).
% 192.83/193.25 cnf('0.7.0.0',axiom,
% 192.83/193.25 ( meet(X1,X2) = meet(X2,X1) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.7.1.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(X2,X1) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.7.0.0']),
% 192.83/193.25 [weight('<6,0,0,[0,0,0,7]>')]).
% 192.83/193.25 cnf('0.7.2.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(X2,X1) ),
% 192.83/193.25 inference(activate,[status(thm)],['0.7.1.0']),
% 192.83/193.25 [equation_2]).
% 192.83/193.25 cnf('0.8.0.0',axiom,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.8.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.8.0.0']),
% 192.83/193.25 [weight('<7,0,0,[0,0,0,8]>')]).
% 192.83/193.25 cnf('0.8.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_6]).
% 192.83/193.25 cnf('0.9.0.0',axiom,
% 192.83/193.25 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003')).
% 192.83/193.25 cnf('0.9.1.0',plain,
% 192.83/193.25 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.9.0.0']),
% 192.83/193.25 [weight('<8,0,0,[0,0,0,9]>')]).
% 192.83/193.25 cnf('0.9.2.0',plain,
% 192.83/193.25 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_7]).
% 192.83/193.25 cnf('0.10.0.0',plain,
% 192.83/193.25 ( X1 = meet(X1,join(X2,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.10.1.0',plain,
% 192.83/193.25 ( X1 = meet(X1,join(X2,X1)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.10.0.0']),
% 192.83/193.25 [weight('<5,5,4,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.10.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,X1)) = X1 ),
% 192.83/193.25 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_8]).
% 192.83/193.25 cnf('0.11.0.0',plain,
% 192.83/193.25 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.11.1.0',plain,
% 192.83/193.25 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.11.0.0']),
% 192.83/193.25 [weight('<5,6,1,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.11.2.0',plain,
% 192.83/193.25 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_9]).
% 192.83/193.25 cnf('0.12.0.0',plain,
% 192.83/193.25 ( X1 = join(X1,meet(X2,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.12.1.0',plain,
% 192.83/193.25 ( X1 = join(X1,meet(X2,X1)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.12.0.0']),
% 192.83/193.25 [weight('<5,7,2,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.12.2.0',plain,
% 192.83/193.25 ( join(X1,meet(X2,X1)) = X1 ),
% 192.83/193.25 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_10]).
% 192.83/193.25 cnf('0.13.0.0',plain,
% 192.83/193.25 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.13.1.0',plain,
% 192.83/193.25 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.13.0.0']),
% 192.83/193.25 [weight('<5,9,3,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.13.2.0',plain,
% 192.83/193.25 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_11]).
% 192.83/193.25 cnf('0.15.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.15.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.15.0.0']),
% 192.83/193.25 [weight('<5,11,5,[1,0,0,2]>')]).
% 192.83/193.25 cnf('0.15.2.0',plain,
% 192.83/193.25 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_13]).
% 192.83/193.25 cnf('0.16.0.0',plain,
% 192.83/193.25 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.16.1.0',plain,
% 192.83/193.25 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.16.0.0']),
% 192.83/193.25 [weight('<7,6,2,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.16.2.0',plain,
% 192.83/193.25 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_14]).
% 192.83/193.25 cnf('0.17.0.0',plain,
% 192.83/193.25 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.17.1.0',plain,
% 192.83/193.25 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.17.0.0']),
% 192.83/193.25 [weight('<7,9,4,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.17.2.0',plain,
% 192.83/193.25 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_15]).
% 192.83/193.25 cnf('0.18.0.0',plain,
% 192.83/193.25 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.18.1.0',plain,
% 192.83/193.25 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.18.0.0']),
% 192.83/193.25 [weight('<7,10,6,[1,0,0,2]>')]).
% 192.83/193.25 cnf('0.18.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 192.83/193.25 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_16]).
% 192.83/193.25 cnf('0.19.0.0',plain,
% 192.83/193.25 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.19.1.0',plain,
% 192.83/193.25 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.19.0.0']),
% 192.83/193.25 [weight('<7,10,9,[0,0,0,1]>')]).
% 192.83/193.25 cnf('0.19.2.0',plain,
% 192.83/193.25 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_17]).
% 192.83/193.25 cnf('0.25.0.0',plain,
% 192.83/193.25 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.25.0.1',plain,
% 192.83/193.25 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.25.0.2',plain,
% 192.83/193.25 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.25.1.0',plain,
% 192.83/193.25 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.25.0.2']),
% 192.83/193.25 [weight('<7,15,6,[0,0,0,1]>')]).
% 192.83/193.25 cnf('0.25.2.0',plain,
% 192.83/193.25 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_23]).
% 192.83/193.25 cnf('0.28.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.28.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.28.0.0']),
% 192.83/193.25 [weight('<7,16,5,[1,0,0,2]>')]).
% 192.83/193.25 cnf('0.28.2.0',plain,
% 192.83/193.25 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_26]).
% 192.83/193.25 cnf('0.32.0.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2','L')]).
% 192.83/193.25 cnf('0.32.0.1',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.32.0.0','0.9.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.32.1.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.32.0.1']),
% 192.83/193.25 [weight('<7,18,2,[1,0,0,4]>')]).
% 192.83/193.25 cnf('0.32.2.0',plain,
% 192.83/193.25 ( meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_30]).
% 192.83/193.25 cnf('0.36.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,join(X1,X1)))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2.2.2','L')]).
% 192.83/193.25 cnf('0.36.0.1',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.36.0.0','0.1.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2.2','L')]).
% 192.83/193.25 cnf('0.36.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.36.0.1']),
% 192.83/193.25 [weight('<9,8,2,[1,0,0,8]>')]).
% 192.83/193.25 cnf('0.36.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_34]).
% 192.83/193.25 cnf('0.40.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('L','L')]).
% 192.83/193.25 cnf('0.40.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.40.0.0']),
% 192.83/193.25 [weight('<9,12,6,[1,0,0,0]>')]).
% 192.83/193.25 cnf('0.40.2.0',plain,
% 192.83/193.25 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_38]).
% 192.83/193.25 cnf('0.41.0.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.41.1.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.41.0.0']),
% 192.83/193.25 [weight('<9,16,10,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.41.1.1',plain,
% 192.83/193.25 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.41.1.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.41.2.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 192.83/193.25 [x,rule_39]).
% 192.83/193.25 cnf('0.42.0.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.41.2.0','0.11.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.42.0.1',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.42.0.0','0.10.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.42.1.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.42.0.1']),
% 192.83/193.25 [weight('<7,41,11,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.42.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_40]).
% 192.83/193.25 cnf('0.43.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.42.2.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.43.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.43.0.0']),
% 192.83/193.25 [weight('<7,42,5,[1,0,0,4]>')]).
% 192.83/193.25 cnf('0.43.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X3,X1)) = join(X1,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_41]).
% 192.83/193.25 cnf('0.44.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.42.2.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.44.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.44.0.0']),
% 192.83/193.25 [weight('<7,42,7,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.44.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X2,X3)) = join(X2,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_42]).
% 192.83/193.25 cnf('0.45.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X3,X1),join(X2,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.43.2.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.45.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X3,X1),join(X2,X1)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.45.0.0']),
% 192.83/193.25 [weight('<7,43,7,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.45.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X3,X2)) = join(X2,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_43]).
% 192.83/193.25 cnf('0.46.0.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.46.1.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.46.0.0']),
% 192.83/193.25 [weight('<9,17,12,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.46.1.1',plain,
% 192.83/193.25 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.46.1.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.46.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 192.83/193.25 [x,rule_44]).
% 192.83/193.25 cnf('0.47.0.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.46.2.0','0.13.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.47.0.1',plain,
% 192.83/193.25 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.47.0.0','0.12.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.47.1.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.47.0.1']),
% 192.83/193.25 [weight('<7,46,13,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.47.2.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_45]).
% 192.83/193.25 cnf('0.48.0.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.47.2.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.48.1.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.48.0.0']),
% 192.83/193.25 [weight('<7,47,5,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.48.2.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_46]).
% 192.83/193.25 cnf('0.50.0.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.48.2.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.50.1.0',plain,
% 192.83/193.25 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.50.0.0']),
% 192.83/193.25 [weight('<7,48,7,[1,0,0,4]>')]).
% 192.83/193.25 cnf('0.50.2.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),meet(X3,X2)) = meet(X2,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_48]).
% 192.83/193.25 cnf('0.55.0.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.55.1.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.55.0.0']),
% 192.83/193.25 [weight('<9,19,12,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.55.1.1',plain,
% 192.83/193.25 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.55.1.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.55.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.55.1.1',theory(equality)]),
% 192.83/193.25 [x,rule_53]).
% 192.83/193.25 cnf('0.75.0.0',plain,
% 192.83/193.25 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(meet(X1,X3),join(X2,X4))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.16.2.0','0.25.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.75.0.1',plain,
% 192.83/193.25 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.75.0.0','0.16.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.75.1.0',plain,
% 192.83/193.25 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.75.0.1']),
% 192.83/193.25 [weight('<9,25,16,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.75.2.0',plain,
% 192.83/193.25 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_73]).
% 192.83/193.25 cnf('0.87.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X3,X1)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.12.2.0','0.32.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.87.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X3,X1)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.87.0.0']),
% 192.83/193.25 [weight('<9,32,12,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.87.1.1',plain,
% 192.83/193.25 ( meet(X1,join(X2,X3)) = join(meet(X3,X1),meet(X1,join(X2,X3))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.87.1.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.87.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X2,join(X3,X1)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.87.1.1',theory(equality)]),
% 192.83/193.25 [x,rule_85]).
% 192.83/193.25 cnf('0.93.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.36.2.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2.2','L')]).
% 192.83/193.25 cnf('0.93.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.93.0.0']),
% 192.83/193.25 [weight('<9,36,5,[1,0,0,6]>')]).
% 192.83/193.25 cnf('0.93.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_91]).
% 192.83/193.25 cnf('0.94.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.36.2.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2','L')]).
% 192.83/193.25 cnf('0.94.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.94.0.0']),
% 192.83/193.25 [weight('<9,36,7,[1,0,0,4]>')]).
% 192.83/193.25 cnf('0.94.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(join(X2,X1),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_92]).
% 192.83/193.25 cnf('0.98.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.40.2.0','0.5.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2.2','L')]).
% 192.83/193.25 cnf('0.98.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.98.0.0']),
% 192.83/193.25 [weight('<9,40,5,[1,0,0,6]>')]).
% 192.83/193.25 cnf('0.98.2.0',plain,
% 192.83/193.25 ( join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_96]).
% 192.83/193.25 cnf('0.104.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X3,meet(X4,X1)),join(X1,X2)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.44.2.0','0.9.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.104.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(meet(X3,meet(X4,X1)),join(X1,X2)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.104.0.0']),
% 192.83/193.25 [weight('<9,44,9,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.104.2.0',plain,
% 192.83/193.25 ( join(meet(X1,meet(X2,X3)),join(X3,X4)) = join(X3,X4) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_102]).
% 192.83/193.25 cnf('0.106.0.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(join(X3,X2),X4)) = join(join(X2,X3),X4) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.6.2.0','0.45.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.106.0.1',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(join(X2,X3),X4) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.106.0.0','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.106.0.2',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(X2,join(X3,X4)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.106.0.1','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.106.1.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(X2,join(X3,X4)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.106.0.2']),
% 192.83/193.25 [weight('<9,45,6,[0,0,0,1]>')]).
% 192.83/193.25 cnf('0.106.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(X2,join(X3,X4)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_104]).
% 192.83/193.25 cnf('0.109.0.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.46.2.0','0.4.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.109.1.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.109.0.0']),
% 192.83/193.25 [weight('<9,46,4,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.109.2.0',plain,
% 192.83/193.25 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_107]).
% 192.83/193.25 cnf('0.116.0.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.55.2.0','0.4.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1','L')]).
% 192.83/193.25 cnf('0.116.1.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.116.0.0']),
% 192.83/193.25 [weight('<9,55,4,[1,0,0,1]>')]).
% 192.83/193.25 cnf('0.116.2.0',plain,
% 192.83/193.25 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_112]).
% 192.83/193.25 cnf('0.127.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.93.2.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2','L')]).
% 192.83/193.25 cnf('0.127.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.127.0.0']),
% 192.83/193.25 [weight('<9,93,7,[1,0,0,4]>')]).
% 192.83/193.25 cnf('0.127.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(join(X1,X2),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_123]).
% 192.83/193.25 cnf('0.130.0.0',plain,
% 192.83/193.25 ( join(join(X1,X2),X3) = join(meet(X4,X2),join(join(X1,X2),X3)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.104.2.0','0.10.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1.2','L')]).
% 192.83/193.25 cnf('0.130.0.1',plain,
% 192.83/193.25 ( join(X1,join(X2,X3)) = join(meet(X4,X2),join(join(X1,X2),X3)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.130.0.0','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('L','L')]).
% 192.83/193.25 cnf('0.130.0.2',plain,
% 192.83/193.25 ( join(X1,join(X2,X3)) = join(meet(X4,X2),join(X1,join(X2,X3))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.130.0.1','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('R.2','L')]).
% 192.83/193.25 cnf('0.130.1.0',plain,
% 192.83/193.25 ( join(X1,join(X2,X3)) = join(meet(X4,X2),join(X1,join(X2,X3))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.130.0.2']),
% 192.83/193.25 [weight('<9,104,10,[1,0,0,3]>')]).
% 192.83/193.25 cnf('0.130.1.1',plain,
% 192.83/193.25 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.130.1.0','0.106.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.130.2.0',plain,
% 192.83/193.25 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 192.83/193.25 inference(activate,[status(thm)],['0.130.1.1']),
% 192.83/193.25 [equation_5]).
% 192.83/193.25 cnf('0.133.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.98.2.0','0.109.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.133.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.133.0.0']),
% 192.83/193.25 [weight('<9,109,98,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.133.2.0',plain,
% 192.83/193.25 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X1,X2) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_128]).
% 192.83/193.25 cnf('0.138.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,meet(join(X3,X2),join(X2,X1))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.36.2.0','0.116.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.138.0.1',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,join(X3,X2)) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.138.0.0','0.32.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.138.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,join(X3,X2)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.138.0.1']),
% 192.83/193.25 [weight('<9,116,36,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.138.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,join(X3,X2)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 192.83/193.25 [u,rule_132]).
% 192.83/193.25 cnf('0.153.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X1,join(X2,X3)))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.138.2.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2','L')]).
% 192.83/193.25 cnf('0.153.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X1,join(X2,X3)))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.153.0.0']),
% 192.83/193.25 [weight('<9,138,7,[1,0,0,4]>')]).
% 192.83/193.25 cnf('0.153.2.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X1,join(X3,X2)))) = meet(X1,join(X3,X2)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_147]).
% 192.83/193.25 cnf('0.318.0.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.18.2.0','0.75.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.318.1.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.318.0.0']),
% 192.83/193.25 [weight('<11,75,18,[0,0,0,2]>')]).
% 192.83/193.25 cnf('0.318.2.0',plain,
% 192.83/193.25 ( meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) = join(meet(X1,X2),X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.318.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_310]).
% 192.83/193.25 cnf('0.391.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(join(X2,X1),X3))) = join(meet(meet(join(X2,X1),X3),X1),meet(X1,join(X2,meet(X3,X1)))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.87.2.0','0.94.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.391.0.1',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(meet(join(X2,X1),X3),X1),meet(X1,join(X2,meet(X3,X1)))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.391.0.0','0.94.2.0',theory(equality)]),
% 192.83/193.25 [pos('L','L')]).
% 192.83/193.25 cnf('0.391.0.2',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(join(X2,X1),meet(X3,X1)),meet(X1,join(X2,meet(X3,X1)))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.391.0.1','0.9.2.0',theory(equality)]),
% 192.83/193.25 [pos('R.1','L')]).
% 192.83/193.25 cnf('0.391.0.3',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X3),meet(X1,join(X2,meet(X3,X1)))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.391.0.2','0.50.2.0',theory(equality)]),
% 192.83/193.25 [pos('R.1','L')]).
% 192.83/193.25 cnf('0.391.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X3),meet(X1,join(X2,meet(X3,X1)))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.391.0.3']),
% 192.83/193.25 [weight('<11,94,87,[0,0,0,4]>')]).
% 192.83/193.25 cnf('0.391.2.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),meet(X1,join(X3,meet(X2,X1)))) = meet(X1,join(X3,meet(X2,X1))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.391.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_383]).
% 192.83/193.25 cnf('0.531.0.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,meet(join(X3,join(X2,X4)),join(X2,X1))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.133.2.0','0.130.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.1','L')]).
% 192.83/193.25 cnf('0.531.1.0',plain,
% 192.83/193.25 ( join(X1,X2) = join(X1,meet(join(X3,join(X2,X4)),join(X2,X1))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.531.0.0']),
% 192.83/193.25 [weight('<11,133,130,[1,0,0,3]>')]).
% 192.83/193.25 cnf('0.531.2.0',plain,
% 192.83/193.25 ( join(X1,meet(join(X2,join(X3,X4)),join(X3,X1))) = join(X1,X3) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.531.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_523]).
% 192.83/193.25 cnf('0.742.0.0',plain,
% 192.83/193.25 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X2,X4),join(meet(X2,X3),X1))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.531.2.0','0.16.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.1','L')]).
% 192.83/193.25 cnf('0.742.1.0',plain,
% 192.83/193.25 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X2,X4),join(meet(X2,X3),X1))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.742.0.0']),
% 192.83/193.25 [weight('<11,531,16,[1,0,0,3]>')]).
% 192.83/193.25 cnf('0.742.2.0',plain,
% 192.83/193.25 ( join(X1,meet(join(X2,X3),join(meet(X2,X4),X1))) = join(X1,meet(X2,X4)) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.742.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_734]).
% 192.83/193.25 cnf('0.2602.0.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(meet(X1,X2),meet(X3,join(X1,X4))),join(X1,X4)) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.318.2.0','0.40.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.2602.1.0',plain,
% 192.83/193.25 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(meet(X1,X2),meet(X3,join(X1,X4))),join(X1,X4)) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.2602.0.0']),
% 192.83/193.25 [weight('<13,318,40,[1,0,0,6]>')]).
% 192.83/193.25 cnf('0.2602.1.1',plain,
% 192.83/193.25 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(X1,X4),join(meet(X1,X2),meet(X3,join(X1,X4)))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.2602.1.0','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.2602.2.0',plain,
% 192.83/193.25 ( meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) = join(meet(X1,X3),meet(X4,join(X1,X2))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.2602.1.1',theory(equality)]),
% 192.83/193.25 [x,rule_2594]).
% 192.83/193.25 cnf('0.3664.0.0',plain,
% 192.83/193.25 ( join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.742.2.0','0.127.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','L')]).
% 192.83/193.25 cnf('0.3664.0.1',plain,
% 192.83/193.25 ( join(meet(join(X1,join(X2,meet(X1,X3))),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.3664.0.0','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1.1','L')]).
% 192.83/193.25 cnf('0.3664.0.2',plain,
% 192.83/193.25 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.3664.0.1','0.28.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.1.1','L')]).
% 192.83/193.25 cnf('0.3664.0.3',plain,
% 192.83/193.25 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(X1,join(X2,meet(X1,X3))),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.3664.0.2','0.6.2.0',theory(equality)]),
% 192.83/193.25 [pos('R.1.1','L')]).
% 192.83/193.25 cnf('0.3664.0.4',plain,
% 192.83/193.25 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(X1,X2),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.3664.0.3','0.28.2.0',theory(equality)]),
% 192.83/193.25 [pos('R.1.1','L')]).
% 192.83/193.25 cnf('0.3664.0.5',plain,
% 192.83/193.25 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.3664.0.4','0.391.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.3664.1.0',plain,
% 192.83/193.25 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.3664.0.5']),
% 192.83/193.25 [weight('<13,742,127,[1,0,0,2]>')]).
% 192.83/193.25 cnf('0.3664.1.1',plain,
% 192.83/193.25 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(X1,X3),meet(X4,join(X1,X2))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.3664.1.0','0.2602.2.0',theory(equality)]),
% 192.83/193.25 [pos('R','L')]).
% 192.83/193.25 cnf('0.3664.2.0',plain,
% 192.83/193.25 ( join(meet(join(X1,X2),X3),meet(X1,X4)) = join(meet(X1,X4),meet(X3,join(X1,X2))) ),
% 192.83/193.25 inference(activate,[status(thm)],['0.3664.1.1']),
% 192.83/193.25 [equation_9]).
% 192.83/193.25 cnf('0.5323.0.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 192.83/193.25 inference(cp,[status(thm)],['0.153.2.0','0.93.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2','L')]).
% 192.83/193.25 cnf('0.5323.0.1',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['0.5323.0.0','0.93.2.0',theory(equality)]),
% 192.83/193.25 [pos('L','L')]).
% 192.83/193.25 cnf('0.5323.1.0',plain,
% 192.83/193.25 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 192.83/193.25 inference(weigh,[status(thm)],['0.5323.0.1']),
% 192.83/193.25 [weight('<15,153,93,[1,0,0,4]>')]).
% 192.83/193.25 cnf('0.5323.2.0',plain,
% 192.83/193.25 ( meet(X1,join(meet(X2,join(X1,X3)),meet(X1,join(X3,meet(X2,X1))))) = meet(X1,join(X3,meet(X2,X1))) ),
% 192.83/193.25 inference(orient,[status(thm)],['0.5323.1.0',theory(equality)]),
% 192.83/193.25 [x,rule_5240]).
% 192.83/193.25 cnf('1.0.0.0',conjecture,
% 192.83/193.25 ( meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))) ),
% 192.83/193.25 file('/tmp/WALDMEISTER_18161_n003',conjecture_1)).
% 192.83/193.25 cnf('1.0.0.1',plain,
% 192.83/193.25 ( meet(a,join(meet(join(a,b),c),meet(a,join(b,meet(a,c))))) = meet(a,join(b,meet(a,c))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['1.0.0.0','0.3664.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2','R')]).
% 192.83/193.25 cnf('1.0.0.2',plain,
% 192.83/193.25 ( meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) = meet(a,join(b,meet(a,c))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['1.0.0.1','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.1','L')]).
% 192.83/193.25 cnf('1.0.0.3',plain,
% 192.83/193.25 ( meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(c,a))))) = meet(a,join(b,meet(a,c))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['1.0.0.2','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('L.2.2.2.2','L')]).
% 192.83/193.25 cnf('1.0.0.4',plain,
% 192.83/193.25 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(a,c))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['1.0.0.3','0.5323.2.0',theory(equality)]),
% 192.83/193.25 [pos('L','L')]).
% 192.83/193.25 cnf('1.0.0.5',plain,
% 192.83/193.25 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a))) ),
% 192.83/193.25 inference(reduction,[status(thm)],['1.0.0.4','0.7.2.0',theory(equality)]),
% 192.83/193.25 [pos('R.2.2','L')]).
% 192.83/193.25 cnf('1.0.0.6',plain,
% 192.83/193.25 ( $true ),
% 192.83/193.25 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 192.83/193.25 [conjecture_1]).
% 192.83/193.25
% 192.83/193.25 Proved Goals:
% 192.83/193.25 No. 1: meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) joined, current: meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a)))
% 192.83/193.25 1 goal was specified, which was proved.
% 192.83/193.25 % SZS output end CNFRefutation
% 192.83/193.25 #END OF PROOF
% 192.83/193.25
% 192.83/193.25 Problem WALDMEISTER_18161_n003
% 192.83/193.25 CPs.gen 41789704
% 192.83/193.25 CPs.reexp 0
% 192.83/193.25 Select 762046
% 192.83/193.25 R 5240
% 192.83/193.25 E 83
% 192.83/193.25 vsize 13.0M
% 192.83/193.25 rss 8.6M
% 192.83/193.25 process.time 192.257s
% 192.83/193.25 wallclock.time 192.270s
% 192.83/193.25 status S
% 192.83/193.25
% 192.83/193.25
% 192.83/193.25 Waldmeister states: Goal proved.
% 192.83/193.25 % SZS status Unsatisfiable
%------------------------------------------------------------------------------