%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n006.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 07:15:06 EDT 2022
% Result : Unsatisfiable 0.57s 0.97s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.13/0.32 % Computer : n006.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Thu Jun 30 01:49:08 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) meet(b,a) ?=? meet(a,b)
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.97 joined goal: 1 meet(b,a) ?= meet(a,b) to meet(a,b)
% 0.57/0.97 goal joined
% 0.57/0.97 % SZS status Unsatisfiable
% 0.57/0.97 #START OF PROOF
% 0.57/0.97 % SZS output start CNFRefutation
% 0.57/0.97 cnf('0.1.0.0',axiom,
% 0.57/0.97 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_10294_n006')).
% 0.57/0.97 cnf('0.1.1.0',plain,
% 0.57/0.97 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.1.2.0',plain,
% 0.57/0.97 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_1]).
% 0.57/0.97 cnf('0.2.0.0',axiom,
% 0.57/0.97 ( X1 = join(meet(X2,X1),meet(X1,join(X2,X1))) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_10294_n006')).
% 0.57/0.97 cnf('0.2.1.0',plain,
% 0.57/0.97 ( X1 = join(meet(X2,X1),meet(X1,join(X2,X1))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.2.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_2]).
% 0.57/0.97 cnf('0.3.0.0',axiom,
% 0.57/0.97 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_10294_n006')).
% 0.57/0.97 cnf('0.3.1.0',plain,
% 0.57/0.97 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.97 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.97 cnf('0.3.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X1,join(X1,X2))) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_3]).
% 0.57/0.97 cnf('0.4.0.0',axiom,
% 0.57/0.97 ( X1 = join(meet(X1,X1),meet(X2,join(X1,X1))) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_10294_n006')).
% 0.57/0.97 cnf('0.4.1.0',plain,
% 0.57/0.97 ( X1 = join(meet(X1,X1),meet(X2,join(X1,X1))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.97 cnf('0.4.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_4]).
% 0.57/0.97 cnf('0.5.0.0',axiom,
% 0.57/0.97 ( X1 = join(join(meet(X1,X2),meet(X3,X1)),X1) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_10294_n006')).
% 0.57/0.97 cnf('0.5.1.0',plain,
% 0.57/0.97 ( X1 = join(join(meet(X1,X2),meet(X3,X1)),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.97 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.57/0.97 cnf('0.5.2.0',plain,
% 0.57/0.97 ( join(join(meet(X1,X2),meet(X3,X1)),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_5]).
% 0.57/0.97 cnf('0.6.0.0',plain,
% 0.57/0.97 ( X1 = join(meet(X1,X1),join(X1,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.6.1.0',plain,
% 0.57/0.97 ( X1 = join(meet(X1,X1),join(X1,X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.97 [weight('<71,4,1,[1,0,0,4]>')]).
% 0.57/0.97 cnf('0.6.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X1),join(X1,X1)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_6]).
% 0.57/0.97 cnf('0.7.0.0',plain,
% 0.57/0.97 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.7.1.0',plain,
% 0.57/0.97 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.97 [weight('<71,5,1,[0,0,0,5]>')]).
% 0.57/0.97 cnf('0.7.2.0',plain,
% 0.57/0.97 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_7]).
% 0.57/0.97 cnf('0.8.0.0',plain,
% 0.57/0.97 ( X1 = join(join(meet(X1,X2),X1),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.8.1.0',plain,
% 0.57/0.97 ( X1 = join(join(meet(X1,X2),X1),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.97 [weight('<71,5,1,[1,0,0,5]>')]).
% 0.57/0.97 cnf('0.8.2.0',plain,
% 0.57/0.97 ( join(join(meet(X1,X2),X1),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_8]).
% 0.57/0.97 cnf('0.9.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.9.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.97 [weight('<129,7,2,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.9.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_9]).
% 0.57/0.97 cnf('0.10.0.0',plain,
% 0.57/0.97 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.10.0.1',plain,
% 0.57/0.97 ( X1 = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.10.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.10.0.2',plain,
% 0.57/0.97 ( X1 = meet(meet(X1,X1),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.10.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('0.10.1.0',plain,
% 0.57/0.97 ( X1 = meet(meet(X1,X1),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.10.0.2']),
% 0.57/0.97 [weight('<41,9,1,[1,0,0,3]>')]).
% 0.57/0.97 cnf('0.10.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,X1),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_10]).
% 0.57/0.97 cnf('0.11.0.0',plain,
% 0.57/0.97 ( X1 = join(X1,meet(X1,join(meet(X1,X1),X1))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.2.2.0','0.10.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.11.1.0',plain,
% 0.57/0.97 ( X1 = join(X1,meet(X1,join(meet(X1,X1),X1))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.97 [weight('<109,10,2,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.11.2.0',plain,
% 0.57/0.97 ( join(X1,meet(X1,join(meet(X1,X1),X1))) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_11]).
% 0.57/0.97 cnf('0.12.0.0',plain,
% 0.57/0.97 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.1.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.12.1.0',plain,
% 0.57/0.97 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.97 [weight('<71,11,1,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.12.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,join(X2,X1)),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_12]).
% 0.57/0.97 cnf('0.16.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.16.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.57/0.97 [weight('<129,7,3,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.16.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_16]).
% 0.57/0.97 cnf('0.17.0.0',plain,
% 0.57/0.97 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.16.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.17.0.1',plain,
% 0.57/0.97 ( X1 = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.17.0.2',plain,
% 0.57/0.97 ( X1 = meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.17.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.1','L')]).
% 0.57/0.97 cnf('0.17.0.3',plain,
% 0.57/0.97 ( X1 = meet(X1,X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.17.0.2','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('0.17.1.0',plain,
% 0.57/0.97 ( X1 = meet(X1,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.17.0.3']),
% 0.57/0.97 [weight('<19,16,1,[1,0,0,3]>')]).
% 0.57/0.97 cnf('0.17.2.0',plain,
% 0.57/0.97 ( meet(X1,X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_17]).
% 0.57/0.97 cnf('0.18.0.0',plain,
% 0.57/0.97 ( join(meet(X1,X1),join(X1,X1)) = X1 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.57/0.97 cnf('0.18.0.1',plain,
% 0.57/0.97 ( join(X1,join(X1,X1)) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.18.0.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.18.1.0',plain,
% 0.57/0.97 ( join(X1,join(X1,X1)) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.57/0.97 [weight('<41,6,17,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.18.2.0',plain,
% 0.57/0.97 ( join(X1,join(X1,X1)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_18]).
% 0.57/0.97 cnf('0.19.0.0',plain,
% 0.57/0.97 ( X1 = meet(join(X1,X1),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.1.2.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.19.1.0',plain,
% 0.57/0.97 ( X1 = meet(join(X1,X1),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.57/0.97 [weight('<41,17,1,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.19.2.0',plain,
% 0.57/0.97 ( meet(join(X1,X1),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_19]).
% 0.57/0.97 cnf('0.20.0.0',plain,
% 0.57/0.97 ( join(X1,X1) = join(join(X1,join(X1,X1)),join(X1,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.8.2.0','0.19.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.20.0.1',plain,
% 0.57/0.97 ( join(X1,X1) = join(X1,join(X1,X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.20.0.0','0.18.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.1','L')]).
% 0.57/0.97 cnf('0.20.0.2',plain,
% 0.57/0.97 ( join(X1,X1) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.20.0.1','0.18.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.20.1.0',plain,
% 0.57/0.97 ( join(X1,X1) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.20.0.2']),
% 0.57/0.97 [weight('<19,19,8,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.20.2.0',plain,
% 0.57/0.97 ( join(X1,X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_20]).
% 0.57/0.97 cnf('0.21.0.0',plain,
% 0.57/0.97 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 0.57/0.97 cnf('0.21.0.1',plain,
% 0.57/0.97 ( join(X1,meet(X2,join(X1,X1))) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.21.0.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.21.1.0',plain,
% 0.57/0.97 ( join(X1,meet(X2,join(X1,X1))) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.57/0.97 [weight('<71,4,17,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.21.1.1',plain,
% 0.57/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.21.1.0','0.20.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.21.2.0',plain,
% 0.57/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.21.1.1',theory(equality)]),
% 0.57/0.97 [u,rule_21]).
% 0.57/0.97 cnf('0.22.0.0',plain,
% 0.57/0.97 ( X1 = join(meet(X1,meet(X2,X1)),meet(X1,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.3.2.0','0.21.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.22.0.1',plain,
% 0.57/0.97 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.22.0.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('0.22.1.0',plain,
% 0.57/0.97 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.57/0.97 [weight('<71,21,3,[0,0,0,6]>')]).
% 0.57/0.97 cnf('0.22.2.0',plain,
% 0.57/0.97 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_22]).
% 0.57/0.97 cnf('0.23.0.0',plain,
% 0.57/0.97 ( meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),X1),meet(meet(X1,meet(X2,X1)),X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.3.2.0','0.22.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.23.0.1',plain,
% 0.57/0.97 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.23.0.0','0.20.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.23.1.0',plain,
% 0.57/0.97 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.57/0.97 [weight('<103,22,3,[0,0,0,6]>')]).
% 0.57/0.97 cnf('0.23.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_23]).
% 0.57/0.97 cnf('0.27.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(meet(X1,X2),X2),meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.12.2.0','0.21.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.27.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(meet(X1,X2),X2),meet(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.57/0.97 [weight('<129,21,12,[0,0,0,3]>')]).
% 0.57/0.97 cnf('0.27.2.0',plain,
% 0.57/0.97 ( meet(meet(meet(X1,X2),X2),meet(X1,X2)) = meet(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_27]).
% 0.57/0.97 cnf('0.28.0.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),X1) = meet(X1,meet(join(X1,X2),X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.27.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.28.1.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),X1) = meet(X1,meet(join(X1,X2),X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.57/0.97 [weight('<103,27,7,[1,0,0,1]>')]).
% 0.57/0.97 cnf('0.28.2.0',plain,
% 0.57/0.97 ( meet(X1,meet(join(X1,X2),X1)) = meet(join(X1,X2),X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_28]).
% 0.57/0.97 cnf('0.29.0.0',plain,
% 0.57/0.97 ( meet(X1,meet(join(X1,X2),X1)) = meet(meet(join(X1,X2),X1),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.23.2.0','0.28.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.29.0.1',plain,
% 0.57/0.97 ( meet(join(X1,X2),X1) = meet(meet(join(X1,X2),X1),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.29.0.0','0.28.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.29.0.2',plain,
% 0.57/0.97 ( meet(join(X1,X2),X1) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.29.0.1','0.7.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.29.1.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),X1) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.57/0.97 [weight('<41,28,23,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.29.2.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_29]).
% 0.57/0.97 cnf('0.30.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.30.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.57/0.97 [weight('<53,29,2,[1,0,0,1]>')]).
% 0.57/0.97 cnf('0.30.2.0',plain,
% 0.57/0.97 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_30]).
% 0.57/0.97 cnf('0.31.0.0',plain,
% 0.57/0.97 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.22.2.0'])).
% 0.57/0.97 cnf('0.31.0.1',plain,
% 0.57/0.97 ( join(meet(X2,X1),X1) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.31.1.0',plain,
% 0.57/0.97 ( join(meet(X2,X1),X1) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.57/0.97 [weight('<41,22,30,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.31.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),X2) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_31]).
% 0.57/0.97 cnf('0.34.0.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = meet(X1,join(meet(X1,X2),X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.29.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.34.1.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = meet(X1,join(meet(X1,X2),X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.57/0.97 [weight('<103,29,8,[1,0,0,1]>')]).
% 0.57/0.97 cnf('0.34.2.0',plain,
% 0.57/0.97 ( meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_34]).
% 0.57/0.97 cnf('0.35.0.0',plain,
% 0.57/0.97 ( X1 = meet(join(meet(X1,X2),X1),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.12.2.0','0.34.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.35.1.0',plain,
% 0.57/0.97 ( X1 = meet(join(meet(X1,X2),X1),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.57/0.97 [weight('<71,34,12,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.35.2.0',plain,
% 0.57/0.97 ( meet(join(meet(X1,X2),X1),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_35]).
% 0.57/0.97 cnf('0.36.0.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),join(join(meet(X1,X2),X1),X1))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.3.2.0','0.35.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.36.0.1',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.36.0.0','0.8.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2.2','L')]).
% 0.57/0.97 cnf('0.36.0.2',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = join(X1,X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.36.0.1','0.35.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('0.36.0.3',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.36.0.2','0.20.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.36.1.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.36.0.3']),
% 0.57/0.97 [weight('<41,35,3,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.36.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_36]).
% 0.57/0.97 cnf('0.37.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(meet(X1,X2),X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.3.2.0','0.36.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.37.0.1',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.37.0.0','0.20.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.37.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.57/0.97 [weight('<53,36,3,[0,0,0,6]>')]).
% 0.57/0.97 cnf('0.37.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X1) = meet(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_37]).
% 0.57/0.97 cnf('0.38.0.0',plain,
% 0.57/0.97 ( meet(meet(X1,join(X2,X1)),X1) = X1 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.57/0.97 cnf('0.38.0.1',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.38.0.0','0.37.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.38.1.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.57/0.97 [weight('<41,12,37,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.38.2.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_38]).
% 0.57/0.97 cnf('0.39.0.0',plain,
% 0.57/0.97 ( X1 = join(X1,meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.21.2.0','0.37.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.39.1.0',plain,
% 0.57/0.97 ( X1 = join(X1,meet(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.57/0.97 [weight('<41,37,21,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.39.2.0',plain,
% 0.57/0.97 ( join(X1,meet(X1,X2)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_39]).
% 0.57/0.97 cnf('0.40.0.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),X1) = meet(X1,join(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.37.2.0','0.29.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.40.0.1',plain,
% 0.57/0.97 ( X1 = meet(X1,join(X1,X2)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.40.0.0','0.29.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.40.1.0',plain,
% 0.57/0.97 ( X1 = meet(X1,join(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.57/0.97 [weight('<41,37,29,[1,0,0,1]>')]).
% 0.57/0.97 cnf('0.40.2.0',plain,
% 0.57/0.97 ( meet(X1,join(X1,X2)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_40]).
% 0.57/0.97 cnf('0.44.0.0',plain,
% 0.57/0.97 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.31.2.0','0.38.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.44.1.0',plain,
% 0.57/0.97 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.57/0.97 [weight('<53,38,31,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.44.2.0',plain,
% 0.57/0.97 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_44]).
% 0.57/0.97 cnf('0.45.0.0',plain,
% 0.57/0.97 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.39.2.0','0.29.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.45.1.0',plain,
% 0.57/0.97 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.57/0.97 [weight('<53,39,29,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.45.2.0',plain,
% 0.57/0.97 ( join(join(X1,X2),X1) = join(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_45]).
% 0.57/0.97 cnf('0.46.0.0',plain,
% 0.57/0.97 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.5.2.0','0.30.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.46.1.0',plain,
% 0.57/0.97 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.57/0.97 [weight('<109,30,5,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.46.2.0',plain,
% 0.57/0.97 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_46]).
% 0.57/0.97 cnf('0.52.0.0',plain,
% 0.57/0.97 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.46.2.0','0.37.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.52.1.0',plain,
% 0.57/0.97 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.57/0.97 [weight('<109,46,37,[1,0,0,5]>')]).
% 0.57/0.97 cnf('0.52.2.0',plain,
% 0.57/0.97 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_52]).
% 0.57/0.97 cnf('0.55.0.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,join(X4,join(meet(X1,X2),meet(X3,X1)))),join(meet(X1,X2),meet(X3,X1))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.55.1.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,join(X4,join(meet(X1,X2),meet(X3,X1)))),join(meet(X1,X2),meet(X3,X1))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.57/0.97 [weight('<?,5,1,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.55.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,join(X2,join(meet(X1,X3),meet(X4,X1)))),join(meet(X1,X3),meet(X4,X1))) = join(meet(X1,X3),meet(X4,X1)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_55]).
% 0.57/0.97 cnf('0.59.0.0',plain,
% 0.57/0.97 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.45.2.0','0.52.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.59.0.1',plain,
% 0.57/0.97 ( X2 = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.59.0.0','0.52.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.59.1.0',plain,
% 0.57/0.97 ( X2 = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.59.0.1']),
% 0.57/0.97 [weight('<109,52,45,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.59.2.0',plain,
% 0.57/0.97 ( join(X1,join(meet(X2,X1),meet(X1,X3))) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_59]).
% 0.57/0.97 cnf('0.60.0.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X2,X1)) = meet(meet(X1,X2),join(meet(X1,X2),meet(X2,X1))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.55.2.0','0.59.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.60.0.1',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.60.0.0','0.40.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.60.1.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.57/0.97 [weight('<87,59,55,[0,0,0,3]>')]).
% 0.57/0.97 cnf('0.60.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_60]).
% 0.57/0.97 cnf('0.61.0.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X2,X1)) = join(meet(X2,X1),meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.44.2.0','0.60.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.61.0.1',plain,
% 0.57/0.97 ( meet(X1,X2) = join(meet(X2,X1),meet(X1,X2)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.61.0.0','0.60.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.61.0.2',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.61.0.1','0.60.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.61.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.61.0.2']),
% 0.57/0.97 [weight('<48,60,44,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.61.2.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.57/0.97 inference(activate,[status(thm)],['0.61.1.0']),
% 0.57/0.97 [equation_1]).
% 0.57/0.97 cnf('1.0.0.0',conjecture,
% 0.57/0.97 ( meet(b,a) = meet(a,b) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_10294_n006',conjecture_1)).
% 0.57/0.97 cnf('1.0.0.1',plain,
% 0.57/0.97 ( meet(a,b) = meet(a,b) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.61.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('1.0.0.2',plain,
% 0.57/0.97 ( $true ),
% 0.57/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.97 [conjecture_1]).
% 0.57/0.97
% 0.57/0.97 Proved Goals:
% 0.57/0.97 No. 1: meet(b,a) ?= meet(a,b) joined, current: meet(a,b) = meet(a,b)
% 0.57/0.97 1 goal was specified, which was proved.
% 0.57/0.97 % SZS output end CNFRefutation
% 0.57/0.97 #END OF PROOF
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_10294_n006
% 0.57/0.97 CPs.gen 1448
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 105
% 0.57/0.97 R 60
% 0.57/0.97 E 1
% 0.57/0.97 vsize 6.5M
% 0.57/0.97 rss 3.7M
% 0.57/0.97 process.time 0.008s
% 0.57/0.97 wallclock.time 0.008s
% 0.57/0.97 status S
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Waldmeister states: Goal proved.
% 0.57/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------