TSTP Solution File: MVA011-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : MVA011-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 00:55:55 EDT 2022
% Result : Unsatisfiable 5.92s 6.37s
% Output : CNFRefutation 5.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MVA011-1 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 18:07:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) ld(x,unit) ?=? at(unit,ld(x,unit))
% 0.58/0.97
% 0.58/0.97 Detected structure: Verband
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 5.92/6.37 joined goal: 1 ld(x,unit) ?= at(unit,ld(x,unit)) to rd(unit,x)
% 5.92/6.37 goal joined
% 5.92/6.37 % SZS status Unsatisfiable
% 5.92/6.37 #START OF PROOF
% 5.92/6.37 % SZS output start CNFRefutation
% 5.92/6.37 cnf('0.1.0.0',axiom,
% 5.92/6.37 ( X1 = join(X1,X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.1.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1.0.0']),
% 5.92/6.37 [weight('<0,0,0,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.1.2.0',plain,
% 5.92/6.37 ( join(X1,X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1]).
% 5.92/6.37 cnf('0.2.0.0',axiom,
% 5.92/6.37 ( X1 = join(meet(X1,X2),X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.2.1.0',plain,
% 5.92/6.37 ( X1 = join(meet(X1,X2),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2.0.0']),
% 5.92/6.37 [weight('<1,0,0,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.2.2.0',plain,
% 5.92/6.37 ( join(meet(X1,X2),X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_2]).
% 5.92/6.37 cnf('0.3.0.0',axiom,
% 5.92/6.37 ( X1 = join(op(X2,meet(ld(X2,X1),X3)),X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.3.1.0',plain,
% 5.92/6.37 ( X1 = join(op(X2,meet(ld(X2,X1),X3)),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3.0.0']),
% 5.92/6.37 [weight('<2,0,0,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.3.2.0',plain,
% 5.92/6.37 ( join(op(X1,meet(ld(X1,X2),X3)),X2) = X2 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3]).
% 5.92/6.37 cnf('0.4.0.0',axiom,
% 5.92/6.37 ( X1 = join(op(meet(X2,rd(X1,X3)),X3),X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.4.1.0',plain,
% 5.92/6.37 ( X1 = join(op(meet(X2,rd(X1,X3)),X3),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.4.0.0']),
% 5.92/6.37 [weight('<3,0,0,[0,0,0,4]>')]).
% 5.92/6.37 cnf('0.4.2.0',plain,
% 5.92/6.37 ( join(op(meet(X1,rd(X2,X3)),X3),X2) = X2 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_4]).
% 5.92/6.37 cnf('0.5.0.0',axiom,
% 5.92/6.37 ( X1 = meet(X1,X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.5.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.5.0.0']),
% 5.92/6.37 [weight('<4,0,0,[0,0,0,5]>')]).
% 5.92/6.37 cnf('0.5.2.0',plain,
% 5.92/6.37 ( meet(X1,X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_5]).
% 5.92/6.37 cnf('0.6.0.0',axiom,
% 5.92/6.37 ( X1 = meet(join(X1,X2),X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.6.1.0',plain,
% 5.92/6.37 ( X1 = meet(join(X1,X2),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.6.0.0']),
% 5.92/6.37 [weight('<5,0,0,[0,0,0,6]>')]).
% 5.92/6.37 cnf('0.6.2.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_6]).
% 5.92/6.37 cnf('0.7.0.0',axiom,
% 5.92/6.37 ( X1 = meet(ld(X2,join(op(X2,X1),X3)),X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.7.1.0',plain,
% 5.92/6.37 ( X1 = meet(ld(X2,join(op(X2,X1),X3)),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.7.0.0']),
% 5.92/6.37 [weight('<6,0,0,[0,0,0,7]>')]).
% 5.92/6.37 cnf('0.7.2.0',plain,
% 5.92/6.37 ( meet(ld(X1,join(op(X1,X2),X3)),X2) = X2 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_7]).
% 5.92/6.37 cnf('0.8.0.0',axiom,
% 5.92/6.37 ( X1 = meet(rd(join(op(X1,X2),X3),X2),X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.8.1.0',plain,
% 5.92/6.37 ( X1 = meet(rd(join(op(X1,X2),X3),X2),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.8.0.0']),
% 5.92/6.37 [weight('<7,0,0,[0,0,0,8]>')]).
% 5.92/6.37 cnf('0.8.2.0',plain,
% 5.92/6.37 ( meet(rd(join(op(X1,X2),X3),X2),X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_8]).
% 5.92/6.37 cnf('0.9.0.0',axiom,
% 5.92/6.37 ( X1 = op(X1,unit) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.9.1.0',plain,
% 5.92/6.37 ( X1 = op(X1,unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.9.0.0']),
% 5.92/6.37 [weight('<8,0,0,[0,0,0,9]>')]).
% 5.92/6.37 cnf('0.9.2.0',plain,
% 5.92/6.37 ( op(X1,unit) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_9]).
% 5.92/6.37 cnf('0.10.0.0',axiom,
% 5.92/6.37 ( X1 = op(unit,X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.10.1.0',plain,
% 5.92/6.37 ( X1 = op(unit,X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.10.0.0']),
% 5.92/6.37 [weight('<9,0,0,[0,0,0,10]>')]).
% 5.92/6.37 cnf('0.10.2.0',plain,
% 5.92/6.37 ( op(unit,X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_10]).
% 5.92/6.37 cnf('0.11.0.0',axiom,
% 5.92/6.37 ( join(X1,X2) = join(X2,X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.11.1.0',plain,
% 5.92/6.37 ( join(X1,X2) = join(X2,X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.11.0.0']),
% 5.92/6.37 [weight('<10,0,0,[0,0,0,11]>')]).
% 5.92/6.37 cnf('0.11.2.0',plain,
% 5.92/6.37 ( join(X1,X2) = join(X2,X1) ),
% 5.92/6.37 inference(activate,[status(thm)],['0.11.1.0']),
% 5.92/6.37 [equation_1]).
% 5.92/6.37 cnf('0.12.0.0',axiom,
% 5.92/6.37 ( join(X1,X2) = ld(rd(X1,join(X1,X2)),X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.12.1.0',plain,
% 5.92/6.37 ( join(X1,X2) = ld(rd(X1,join(X1,X2)),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.12.0.0']),
% 5.92/6.37 [weight('<11,0,0,[0,0,0,12]>')]).
% 5.92/6.37 cnf('0.12.2.0',plain,
% 5.92/6.37 ( ld(rd(X1,join(X1,X2)),X1) = join(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_11]).
% 5.92/6.37 cnf('0.13.0.0',axiom,
% 5.92/6.37 ( join(X1,X2) = rd(X1,ld(join(X1,X2),X1)) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.13.1.0',plain,
% 5.92/6.37 ( join(X1,X2) = rd(X1,ld(join(X1,X2),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.13.0.0']),
% 5.92/6.37 [weight('<12,0,0,[0,0,0,13]>')]).
% 5.92/6.37 cnf('0.13.2.0',plain,
% 5.92/6.37 ( rd(X1,ld(join(X1,X2),X1)) = join(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_12]).
% 5.92/6.37 cnf('0.14.0.0',axiom,
% 5.92/6.37 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.14.1.0',plain,
% 5.92/6.37 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.14.0.0']),
% 5.92/6.37 [weight('<13,0,0,[0,0,0,14]>')]).
% 5.92/6.37 cnf('0.14.2.0',plain,
% 5.92/6.37 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_13]).
% 5.92/6.37 cnf('0.15.0.0',axiom,
% 5.92/6.37 ( meet(X1,X2) = meet(X2,X1) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.15.1.0',plain,
% 5.92/6.37 ( meet(X1,X2) = meet(X2,X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.15.0.0']),
% 5.92/6.37 [weight('<14,0,0,[0,0,0,15]>')]).
% 5.92/6.37 cnf('0.15.2.0',plain,
% 5.92/6.37 ( meet(X1,X2) = meet(X2,X1) ),
% 5.92/6.37 inference(activate,[status(thm)],['0.15.1.0']),
% 5.92/6.37 [equation_2]).
% 5.92/6.37 cnf('0.16.0.0',axiom,
% 5.92/6.37 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.16.1.0',plain,
% 5.92/6.37 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.16.0.0']),
% 5.92/6.37 [weight('<15,0,0,[0,0,0,16]>')]).
% 5.92/6.37 cnf('0.16.2.0',plain,
% 5.92/6.37 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_14]).
% 5.92/6.37 cnf('0.17.0.0',axiom,
% 5.92/6.37 ( op(X1,op(X2,X3)) = op(op(X1,X2),X3) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.17.1.0',plain,
% 5.92/6.37 ( op(X1,op(X2,X3)) = op(op(X1,X2),X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.17.0.0']),
% 5.92/6.37 [weight('<16,0,0,[0,0,0,17]>')]).
% 5.92/6.37 cnf('0.17.2.0',plain,
% 5.92/6.37 ( op(op(X1,X2),X3) = op(X1,op(X2,X3)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_15]).
% 5.92/6.37 cnf('0.18.0.0',axiom,
% 5.92/6.37 ( op(op(X1,ld(X1,unit)),ld(ld(X2,unit),unit)) = at(X1,X2) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027')).
% 5.92/6.37 cnf('0.18.1.0',plain,
% 5.92/6.37 ( op(op(X1,ld(X1,unit)),ld(ld(X2,unit),unit)) = at(X1,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.18.0.0']),
% 5.92/6.37 [weight('<17,0,0,[0,0,0,18]>')]).
% 5.92/6.37 cnf('0.18.1.1',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),ld(ld(X2,unit),unit))) = at(X1,X2) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.18.1.0','0.17.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.18.2.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),ld(ld(X2,unit),unit))) = at(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 5.92/6.37 [u,rule_16]).
% 5.92/6.37 cnf('0.19.0.0',plain,
% 5.92/6.37 ( join(meet(X1,X2),X1) = X1 ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 5.92/6.37 cnf('0.19.1.0',plain,
% 5.92/6.37 ( join(meet(X1,X2),X1) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.19.0.0']),
% 5.92/6.37 [weight('<5,2,11,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.19.1.1',plain,
% 5.92/6.37 ( join(X1,meet(X1,X2)) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.19.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.19.2.0',plain,
% 5.92/6.37 ( join(X1,meet(X1,X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 5.92/6.37 [u,rule_17]).
% 5.92/6.37 cnf('0.20.0.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),X1) = X1 ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 5.92/6.37 cnf('0.20.1.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),X1) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.20.0.0']),
% 5.92/6.37 [weight('<5,6,15,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.20.1.1',plain,
% 5.92/6.37 ( meet(X1,join(X1,X2)) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.20.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.20.2.0',plain,
% 5.92/6.37 ( meet(X1,join(X1,X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 5.92/6.37 [u,rule_18]).
% 5.92/6.37 cnf('0.21.0.0',plain,
% 5.92/6.37 ( join(X1,X1) = ld(rd(X1,X1),X1) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.12.2.0','0.1.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1.2','L')]).
% 5.92/6.37 cnf('0.21.0.1',plain,
% 5.92/6.37 ( X1 = ld(rd(X1,X1),X1) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.21.0.0','0.1.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.21.1.0',plain,
% 5.92/6.37 ( X1 = ld(rd(X1,X1),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.21.0.1']),
% 5.92/6.37 [weight('<5,12,1,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.21.2.0',plain,
% 5.92/6.37 ( ld(rd(X1,X1),X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_19]).
% 5.92/6.37 cnf('0.22.0.0',plain,
% 5.92/6.37 ( join(X1,X1) = rd(X1,ld(X1,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.13.2.0','0.1.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.22.0.1',plain,
% 5.92/6.37 ( X1 = rd(X1,ld(X1,X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.22.0.0','0.1.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.22.1.0',plain,
% 5.92/6.37 ( X1 = rd(X1,ld(X1,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.22.0.1']),
% 5.92/6.37 [weight('<5,13,1,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.22.2.0',plain,
% 5.92/6.37 ( rd(X1,ld(X1,X1)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_20]).
% 5.92/6.37 cnf('0.23.0.0',plain,
% 5.92/6.37 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.14.2.0','0.1.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.23.1.0',plain,
% 5.92/6.37 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.23.0.0']),
% 5.92/6.37 [weight('<5,14,1,[1,0,0,1]>')]).
% 5.92/6.37 cnf('0.23.2.0',plain,
% 5.92/6.37 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_21]).
% 5.92/6.37 cnf('0.24.0.0',plain,
% 5.92/6.37 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.24.1.0',plain,
% 5.92/6.37 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.24.0.0']),
% 5.92/6.37 [weight('<5,16,5,[1,0,0,1]>')]).
% 5.92/6.37 cnf('0.24.2.0',plain,
% 5.92/6.37 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_22]).
% 5.92/6.37 cnf('0.25.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,meet(X2,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.19.2.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.25.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,meet(X2,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.25.0.0']),
% 5.92/6.37 [weight('<5,19,15,[1,0,0,2]>')]).
% 5.92/6.37 cnf('0.25.2.0',plain,
% 5.92/6.37 ( join(X1,meet(X2,X1)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_23]).
% 5.92/6.37 cnf('0.26.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,join(X2,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.20.2.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.26.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,join(X2,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.26.0.0']),
% 5.92/6.37 [weight('<5,20,11,[1,0,0,2]>')]).
% 5.92/6.37 cnf('0.26.2.0',plain,
% 5.92/6.37 ( meet(X1,join(X2,X1)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_24]).
% 5.92/6.37 cnf('0.27.0.0',plain,
% 5.92/6.37 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.23.2.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.27.1.0',plain,
% 5.92/6.37 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.27.0.0']),
% 5.92/6.37 [weight('<5,23,11,[1,0,0,2]>')]).
% 5.92/6.37 cnf('0.27.2.0',plain,
% 5.92/6.37 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_25]).
% 5.92/6.37 cnf('0.29.0.0',plain,
% 5.92/6.37 ( join(X1,X2) = ld(rd(X1,join(X2,X1)),X1) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.12.2.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1.2','L')]).
% 5.92/6.37 cnf('0.29.1.0',plain,
% 5.92/6.37 ( join(X1,X2) = ld(rd(X1,join(X2,X1)),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.29.0.0']),
% 5.92/6.37 [weight('<7,12,11,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.29.2.0',plain,
% 5.92/6.37 ( ld(rd(X1,join(X2,X1)),X1) = join(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_27]).
% 5.92/6.37 cnf('0.30.0.0',plain,
% 5.92/6.37 ( join(X1,X2) = rd(X1,ld(join(X2,X1),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.30.1.0',plain,
% 5.92/6.37 ( join(X1,X2) = rd(X1,ld(join(X2,X1),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.30.0.0']),
% 5.92/6.37 [weight('<7,13,11,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.30.2.0',plain,
% 5.92/6.37 ( rd(X1,ld(join(X2,X1),X1)) = join(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_28]).
% 5.92/6.37 cnf('0.31.0.0',plain,
% 5.92/6.37 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.14.2.0','0.19.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.31.1.0',plain,
% 5.92/6.37 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.31.0.0']),
% 5.92/6.37 [weight('<7,19,14,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.31.2.0',plain,
% 5.92/6.37 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_29]).
% 5.92/6.37 cnf('0.32.0.0',plain,
% 5.92/6.37 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.16.2.0','0.20.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.32.1.0',plain,
% 5.92/6.37 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.32.0.0']),
% 5.92/6.37 [weight('<7,20,16,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.32.2.0',plain,
% 5.92/6.37 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_30]).
% 5.92/6.37 cnf('0.36.0.0',plain,
% 5.92/6.37 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.16.2.0','0.26.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.36.1.0',plain,
% 5.92/6.37 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.36.0.0']),
% 5.92/6.37 [weight('<7,26,16,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.36.2.0',plain,
% 5.92/6.37 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_34]).
% 5.92/6.37 cnf('0.37.0.0',plain,
% 5.92/6.37 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.14.2.0','0.27.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.37.0.1',plain,
% 5.92/6.37 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.37.0.0','0.14.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.37.0.2',plain,
% 5.92/6.37 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.37.0.1','0.14.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.37.1.0',plain,
% 5.92/6.37 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.37.0.2']),
% 5.92/6.37 [weight('<7,27,14,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.37.2.0',plain,
% 5.92/6.37 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_35]).
% 5.92/6.37 cnf('0.44.0.0',plain,
% 5.92/6.37 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.31.2.0','0.25.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.44.0.1',plain,
% 5.92/6.37 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.44.0.0','0.19.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.44.1.0',plain,
% 5.92/6.37 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.44.0.1']),
% 5.92/6.37 [weight('<7,31,25,[1,0,0,2]>')]).
% 5.92/6.37 cnf('0.44.2.0',plain,
% 5.92/6.37 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_42]).
% 5.92/6.37 cnf('0.49.0.0',plain,
% 5.92/6.37 ( join(op(X1,meet(ld(X1,X2),X3)),X2) = X2 ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 5.92/6.37 cnf('0.49.1.0',plain,
% 5.92/6.37 ( join(op(X1,meet(ld(X1,X2),X3)),X2) = X2 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.49.0.0']),
% 5.92/6.37 [weight('<9,3,11,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.49.1.1',plain,
% 5.92/6.37 ( join(X2,op(X1,meet(ld(X1,X2),X3))) = X2 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.49.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.49.2.0',plain,
% 5.92/6.37 ( join(X1,op(X2,meet(ld(X2,X1),X3))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.49.1.1',theory(equality)]),
% 5.92/6.37 [u,rule_47]).
% 5.92/6.37 cnf('0.50.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(X2,ld(X2,X1))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.49.2.0','0.5.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.50.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(X2,ld(X2,X1))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.50.0.0']),
% 5.92/6.37 [weight('<7,49,5,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.50.2.0',plain,
% 5.92/6.37 ( join(X1,op(X2,ld(X2,X1))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_48]).
% 5.92/6.37 cnf('0.51.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,ld(unit,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.50.2.0','0.10.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.51.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,ld(unit,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.51.0.0']),
% 5.92/6.37 [weight('<5,50,10,[1,0,0,2]>')]).
% 5.92/6.37 cnf('0.51.2.0',plain,
% 5.92/6.37 ( join(X1,ld(unit,X1)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_49]).
% 5.92/6.37 cnf('0.52.0.0',plain,
% 5.92/6.37 ( ld(unit,X1) = meet(ld(unit,X1),X1) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.26.2.0','0.51.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.52.1.0',plain,
% 5.92/6.37 ( ld(unit,X1) = meet(ld(unit,X1),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.52.0.0']),
% 5.92/6.37 [weight('<5,51,26,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.52.1.1',plain,
% 5.92/6.37 ( ld(unit,X1) = meet(X1,ld(unit,X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.52.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.52.2.0',plain,
% 5.92/6.37 ( meet(X1,ld(unit,X1)) = ld(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.52.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_50]).
% 5.92/6.37 cnf('0.57.0.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,X2)) = meet(op(X1,ld(X1,X2)),X2) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.26.2.0','0.50.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.57.1.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,X2)) = meet(op(X1,ld(X1,X2)),X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.57.0.0']),
% 5.92/6.37 [weight('<7,50,26,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.57.1.1',plain,
% 5.92/6.37 ( op(X1,ld(X1,X2)) = meet(X2,op(X1,ld(X1,X2))) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.57.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.57.2.0',plain,
% 5.92/6.37 ( meet(X1,op(X2,ld(X2,X1))) = op(X2,ld(X2,X1)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.57.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_55]).
% 5.92/6.37 cnf('0.86.0.0',plain,
% 5.92/6.37 ( join(op(meet(X1,rd(X2,X3)),X3),X2) = X2 ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 5.92/6.37 cnf('0.86.1.0',plain,
% 5.92/6.37 ( join(op(meet(X1,rd(X2,X3)),X3),X2) = X2 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.86.0.0']),
% 5.92/6.37 [weight('<9,4,11,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.86.1.1',plain,
% 5.92/6.37 ( join(X2,op(meet(X1,rd(X2,X3)),X3)) = X2 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.86.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.86.2.0',plain,
% 5.92/6.37 ( join(X1,op(meet(X2,rd(X1,X3)),X3)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.86.1.1',theory(equality)]),
% 5.92/6.37 [u,rule_84]).
% 5.92/6.37 cnf('0.87.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(rd(X1,X2),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.86.2.0','0.5.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.87.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(rd(X1,X2),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.87.0.0']),
% 5.92/6.37 [weight('<7,86,5,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.87.2.0',plain,
% 5.92/6.37 ( join(X1,op(rd(X1,X2),X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_85]).
% 5.92/6.37 cnf('0.91.0.0',plain,
% 5.92/6.37 ( op(rd(X1,X2),X2) = meet(op(rd(X1,X2),X2),X1) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.26.2.0','0.87.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.91.1.0',plain,
% 5.92/6.37 ( op(rd(X1,X2),X2) = meet(op(rd(X1,X2),X2),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.91.0.0']),
% 5.92/6.37 [weight('<7,87,26,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.91.1.1',plain,
% 5.92/6.37 ( op(rd(X1,X2),X2) = meet(X1,op(rd(X1,X2),X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.91.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.91.2.0',plain,
% 5.92/6.37 ( meet(X1,op(rd(X1,X2),X2)) = op(rd(X1,X2),X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.91.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_89]).
% 5.92/6.37 cnf('0.112.0.0',plain,
% 5.92/6.37 ( meet(ld(X1,join(op(X1,X2),X3)),X2) = X2 ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 5.92/6.37 cnf('0.112.1.0',plain,
% 5.92/6.37 ( meet(ld(X1,join(op(X1,X2),X3)),X2) = X2 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.112.0.0']),
% 5.92/6.37 [weight('<9,7,15,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.112.1.1',plain,
% 5.92/6.37 ( meet(X2,ld(X1,join(op(X1,X2),X3))) = X2 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.112.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.112.2.0',plain,
% 5.92/6.37 ( meet(X1,ld(X2,join(op(X2,X1),X3))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.112.1.1',theory(equality)]),
% 5.92/6.37 [u,rule_110]).
% 5.92/6.37 cnf('0.113.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(X2,op(X2,X1))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.112.2.0','0.1.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.113.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(X2,op(X2,X1))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.113.0.0']),
% 5.92/6.37 [weight('<7,112,1,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.113.2.0',plain,
% 5.92/6.37 ( meet(X1,ld(X2,op(X2,X1))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_111]).
% 5.92/6.37 cnf('0.114.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(unit,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.113.2.0','0.10.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.114.0.1',plain,
% 5.92/6.37 ( X1 = ld(unit,X1) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.114.0.0','0.52.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.114.1.0',plain,
% 5.92/6.37 ( X1 = ld(unit,X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.114.0.1']),
% 5.92/6.37 [weight('<3,113,10,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.114.2.0',plain,
% 5.92/6.37 ( ld(unit,X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_112]).
% 5.92/6.37 cnf('0.115.0.0',plain,
% 5.92/6.37 ( unit = rd(unit,unit) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.22.2.0','0.114.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.115.1.0',plain,
% 5.92/6.37 ( unit = rd(unit,unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.115.0.0']),
% 5.92/6.37 [weight('<3,114,22,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.115.2.0',plain,
% 5.92/6.37 ( rd(unit,unit) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_113]).
% 5.92/6.37 cnf('0.116.0.0',plain,
% 5.92/6.37 ( unit = meet(unit,ld(X1,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.113.2.0','0.9.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.116.1.0',plain,
% 5.92/6.37 ( unit = meet(unit,ld(X1,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.116.0.0']),
% 5.92/6.37 [weight('<5,113,9,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.116.2.0',plain,
% 5.92/6.37 ( meet(unit,ld(X1,X1)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_114]).
% 5.92/6.37 cnf('0.117.0.0',plain,
% 5.92/6.37 ( at(unit,X1) = op(unit,op(unit,ld(ld(X1,unit),unit))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.18.2.0','0.114.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.117.0.1',plain,
% 5.92/6.37 ( at(unit,X1) = op(unit,ld(ld(X1,unit),unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.117.0.0','0.10.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.117.0.2',plain,
% 5.92/6.37 ( at(unit,X1) = ld(ld(X1,unit),unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.117.0.1','0.10.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.117.1.0',plain,
% 5.92/6.37 ( at(unit,X1) = ld(ld(X1,unit),unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.117.0.2']),
% 5.92/6.37 [weight('<5,114,18,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.117.2.0',plain,
% 5.92/6.37 ( ld(ld(X1,unit),unit) = at(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_115]).
% 5.92/6.37 cnf('0.118.0.0',plain,
% 5.92/6.37 ( at(unit,rd(unit,unit)) = ld(unit,unit) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.117.2.0','0.21.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.118.0.1',plain,
% 5.92/6.37 ( at(unit,unit) = ld(unit,unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.118.0.0','0.115.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.118.0.2',plain,
% 5.92/6.37 ( at(unit,unit) = unit ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.118.0.1','0.114.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.118.1.0',plain,
% 5.92/6.37 ( at(unit,unit) = unit ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.118.0.2']),
% 5.92/6.37 [weight('<3,117,21,[1,0,0,1]>')]).
% 5.92/6.37 cnf('0.118.2.0',plain,
% 5.92/6.37 ( at(unit,unit) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_116]).
% 5.92/6.37 cnf('0.123.0.0',plain,
% 5.92/6.37 ( meet(unit,meet(ld(X1,X1),X2)) = meet(unit,X2) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.16.2.0','0.116.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.123.1.0',plain,
% 5.92/6.37 ( meet(unit,meet(ld(X1,X1),X2)) = meet(unit,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.123.0.0']),
% 5.92/6.37 [weight('<7,116,16,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.123.2.0',plain,
% 5.92/6.37 ( meet(unit,meet(ld(X1,X1),X2)) = meet(unit,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_121]).
% 5.92/6.37 cnf('0.137.0.0',plain,
% 5.92/6.37 ( ld(X1,X1) = join(ld(X1,X1),meet(unit,X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.44.2.0','0.123.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.137.1.0',plain,
% 5.92/6.37 ( ld(X1,X1) = join(ld(X1,X1),meet(unit,X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.137.0.0']),
% 5.92/6.37 [weight('<7,123,44,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.137.2.0',plain,
% 5.92/6.37 ( join(ld(X1,X1),meet(unit,X2)) = ld(X1,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_135]).
% 5.92/6.37 cnf('0.145.0.0',plain,
% 5.92/6.37 ( ld(X1,X1) = join(meet(unit,X2),ld(X1,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.137.2.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.145.1.0',plain,
% 5.92/6.37 ( ld(X1,X1) = join(meet(unit,X2),ld(X1,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.145.0.0']),
% 5.92/6.37 [weight('<7,137,11,[1,0,0,0]>')]).
% 5.92/6.37 cnf('0.145.2.0',plain,
% 5.92/6.37 ( join(meet(unit,X1),ld(X2,X2)) = ld(X2,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_143]).
% 5.92/6.37 cnf('0.149.0.0',plain,
% 5.92/6.37 ( meet(rd(join(op(X1,X2),X3),X2),X1) = X1 ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 5.92/6.37 cnf('0.149.1.0',plain,
% 5.92/6.37 ( meet(rd(join(op(X1,X2),X3),X2),X1) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.149.0.0']),
% 5.92/6.37 [weight('<9,8,15,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.149.1.1',plain,
% 5.92/6.37 ( meet(X1,rd(join(op(X1,X2),X3),X2)) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.149.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.149.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(join(op(X1,X2),X3),X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.149.1.1',theory(equality)]),
% 5.92/6.37 [u,rule_147]).
% 5.92/6.37 cnf('0.150.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(op(X1,X2),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.149.2.0','0.1.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.150.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(op(X1,X2),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.150.0.0']),
% 5.92/6.37 [weight('<7,149,1,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.150.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(op(X1,X2),X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_148]).
% 5.92/6.37 cnf('0.152.0.0',plain,
% 5.92/6.37 ( unit = meet(unit,rd(X1,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.150.2.0','0.10.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.152.1.0',plain,
% 5.92/6.37 ( unit = meet(unit,rd(X1,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.152.0.0']),
% 5.92/6.37 [weight('<5,150,10,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.152.2.0',plain,
% 5.92/6.37 ( meet(unit,rd(X1,X1)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_150]).
% 5.92/6.37 cnf('0.153.0.0',plain,
% 5.92/6.37 ( rd(X1,X1) = join(rd(X1,X1),unit) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.25.2.0','0.152.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.153.1.0',plain,
% 5.92/6.37 ( rd(X1,X1) = join(rd(X1,X1),unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.153.0.0']),
% 5.92/6.37 [weight('<5,152,25,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.153.1.1',plain,
% 5.92/6.37 ( rd(X1,X1) = join(unit,rd(X1,X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.153.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.153.2.0',plain,
% 5.92/6.37 ( join(unit,rd(X1,X1)) = rd(X1,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.153.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_151]).
% 5.92/6.37 cnf('0.156.0.0',plain,
% 5.92/6.37 ( meet(unit,meet(rd(X1,X1),X2)) = meet(unit,X2) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.16.2.0','0.152.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.156.1.0',plain,
% 5.92/6.37 ( meet(unit,meet(rd(X1,X1),X2)) = meet(unit,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.156.0.0']),
% 5.92/6.37 [weight('<7,152,16,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.156.2.0',plain,
% 5.92/6.37 ( meet(unit,meet(rd(X1,X1),X2)) = meet(unit,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_154]).
% 5.92/6.37 cnf('0.178.0.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),ld(ld(X2,unit),unit))) = at(X1,X2) ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 5.92/6.37 cnf('0.178.0.1',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),at(unit,X2))) = at(X1,X2) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.178.0.0','0.117.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.178.1.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),at(unit,X2))) = at(X1,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.178.0.1']),
% 5.92/6.37 [weight('<9,18,117,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.178.2.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),at(unit,X2))) = at(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_176]).
% 5.92/6.37 cnf('0.179.0.0',plain,
% 5.92/6.37 ( at(X1,unit) = op(X1,op(ld(X1,unit),unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.178.2.0','0.118.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.179.0.1',plain,
% 5.92/6.37 ( at(X1,unit) = op(X1,ld(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.179.0.0','0.9.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.179.1.0',plain,
% 5.92/6.37 ( at(X1,unit) = op(X1,ld(X1,unit)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.179.0.1']),
% 5.92/6.37 [weight('<5,178,118,[1,0,0,6]>')]).
% 5.92/6.37 cnf('0.179.2.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,unit)) = at(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_177]).
% 5.92/6.37 cnf('0.180.0.0',plain,
% 5.92/6.37 ( unit = join(unit,at(X1,unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.50.2.0','0.179.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.180.1.0',plain,
% 5.92/6.37 ( unit = join(unit,at(X1,unit)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.180.0.0']),
% 5.92/6.37 [weight('<5,179,50,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.180.2.0',plain,
% 5.92/6.37 ( join(unit,at(X1,unit)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_178]).
% 5.92/6.37 cnf('0.181.0.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,unit)) = meet(unit,at(X1,unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.57.2.0','0.179.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.181.0.1',plain,
% 5.92/6.37 ( at(X1,unit) = meet(unit,at(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.181.0.0','0.179.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.181.1.0',plain,
% 5.92/6.37 ( at(X1,unit) = meet(unit,at(X1,unit)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.181.0.1']),
% 5.92/6.37 [weight('<5,179,57,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.181.2.0',plain,
% 5.92/6.37 ( meet(unit,at(X1,unit)) = at(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_179]).
% 5.92/6.37 cnf('0.182.0.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),X2)) = op(at(X1,unit),X2) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.17.2.0','0.179.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.182.1.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),X2)) = op(at(X1,unit),X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.182.0.0']),
% 5.92/6.37 [weight('<7,179,17,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.182.2.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),X2)) = op(at(X1,unit),X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_180]).
% 5.92/6.37 cnf('0.183.0.0',plain,
% 5.92/6.37 ( op(X1,op(ld(X1,unit),at(unit,X2))) = at(X1,X2) ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.178.2.0'])).
% 5.92/6.37 cnf('0.183.0.1',plain,
% 5.92/6.37 ( op(at(X1,unit),at(unit,X2)) = at(X1,X2) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.183.0.0','0.182.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.183.1.0',plain,
% 5.92/6.37 ( op(at(X1,unit),at(unit,X2)) = at(X1,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.183.0.1']),
% 5.92/6.37 [weight('<7,178,182,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.183.2.0',plain,
% 5.92/6.37 ( op(at(X1,unit),at(unit,X2)) = at(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_181]).
% 5.92/6.37 cnf('0.187.0.0',plain,
% 5.92/6.37 ( join(at(X1,unit),unit) = rd(at(X1,unit),ld(unit,at(X1,unit))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.30.2.0','0.180.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.187.0.1',plain,
% 5.92/6.37 ( join(at(X1,unit),unit) = rd(at(X1,unit),at(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.187.0.0','0.114.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.187.1.0',plain,
% 5.92/6.37 ( join(at(X1,unit),unit) = rd(at(X1,unit),at(X1,unit)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.187.0.1']),
% 5.92/6.37 [weight('<7,180,30,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.187.1.1',plain,
% 5.92/6.37 ( join(unit,at(X1,unit)) = rd(at(X1,unit),at(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.187.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.187.1.2',plain,
% 5.92/6.37 ( unit = rd(at(X1,unit),at(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.187.1.1','0.180.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.187.2.0',plain,
% 5.92/6.37 ( rd(at(X1,unit),at(X1,unit)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.187.1.2',theory(equality)]),
% 5.92/6.37 [x,rule_185]).
% 5.92/6.37 cnf('0.189.0.0',plain,
% 5.92/6.37 ( meet(at(X1,unit),X2) = meet(at(X1,unit),meet(unit,X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.36.2.0','0.180.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.189.1.0',plain,
% 5.92/6.37 ( meet(at(X1,unit),X2) = meet(at(X1,unit),meet(unit,X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.189.0.0']),
% 5.92/6.37 [weight('<7,180,36,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.189.2.0',plain,
% 5.92/6.37 ( meet(at(X1,unit),meet(unit,X2)) = meet(at(X1,unit),X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_187]).
% 5.92/6.37 cnf('0.208.0.0',plain,
% 5.92/6.37 ( meet(at(X1,unit),rd(op(unit,X2),X2)) = meet(at(X1,unit),unit) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.189.2.0','0.150.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.208.0.1',plain,
% 5.92/6.37 ( meet(at(X1,unit),rd(X2,X2)) = meet(at(X1,unit),unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.208.0.0','0.10.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.208.1.0',plain,
% 5.92/6.37 ( meet(at(X1,unit),rd(X2,X2)) = meet(at(X1,unit),unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.208.0.1']),
% 5.92/6.37 [weight('<7,189,150,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.208.1.1',plain,
% 5.92/6.37 ( meet(at(X1,unit),rd(X2,X2)) = meet(unit,at(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.208.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.208.1.2',plain,
% 5.92/6.37 ( meet(at(X1,unit),rd(X2,X2)) = at(X1,unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.208.1.1','0.181.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.208.2.0',plain,
% 5.92/6.37 ( meet(at(X1,unit),rd(X2,X2)) = at(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.208.1.2',theory(equality)]),
% 5.92/6.37 [u,rule_206]).
% 5.92/6.37 cnf('0.213.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(at(X2,unit),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.86.2.0','0.208.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.213.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(at(X2,unit),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.213.0.0']),
% 5.92/6.37 [weight('<7,208,86,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.213.2.0',plain,
% 5.92/6.37 ( join(X1,op(at(X2,unit),X1)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_211]).
% 5.92/6.37 cnf('0.246.0.0',plain,
% 5.92/6.37 ( join(meet(X1,X2),X1) = ld(rd(meet(X1,X2),X1),meet(X1,X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.29.2.0','0.19.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1.2','L')]).
% 5.92/6.37 cnf('0.246.1.0',plain,
% 5.92/6.37 ( join(meet(X1,X2),X1) = ld(rd(meet(X1,X2),X1),meet(X1,X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.246.0.0']),
% 5.92/6.37 [weight('<9,29,19,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.246.1.1',plain,
% 5.92/6.37 ( join(X1,meet(X1,X2)) = ld(rd(meet(X1,X2),X1),meet(X1,X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.246.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.246.1.2',plain,
% 5.92/6.37 ( X1 = ld(rd(meet(X1,X2),X1),meet(X1,X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.246.1.1','0.19.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.246.2.0',plain,
% 5.92/6.37 ( ld(rd(meet(X1,X2),X1),meet(X1,X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.246.1.2',theory(equality)]),
% 5.92/6.37 [x,rule_244]).
% 5.92/6.37 cnf('0.268.0.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.25.2.0','0.32.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.268.1.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.268.0.0']),
% 5.92/6.37 [weight('<9,32,25,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.268.1.1',plain,
% 5.92/6.37 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.268.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.268.2.0',plain,
% 5.92/6.37 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.268.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_266]).
% 5.92/6.37 cnf('0.269.0.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.268.2.0','0.24.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.269.0.1',plain,
% 5.92/6.37 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.269.0.0','0.25.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.269.1.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.269.0.1']),
% 5.92/6.37 [weight('<7,268,24,[1,0,0,1]>')]).
% 5.92/6.37 cnf('0.269.2.0',plain,
% 5.92/6.37 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.269.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_267]).
% 5.92/6.37 cnf('0.273.0.0',plain,
% 5.92/6.37 ( meet(unit,X1) = meet(rd(X2,X2),meet(unit,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.269.2.0','0.153.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.273.1.0',plain,
% 5.92/6.37 ( meet(unit,X1) = meet(rd(X2,X2),meet(unit,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.273.0.0']),
% 5.92/6.37 [weight('<7,269,153,[1,0,0,1]>')]).
% 5.92/6.37 cnf('0.273.2.0',plain,
% 5.92/6.37 ( meet(rd(X1,X1),meet(unit,X2)) = meet(unit,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.273.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_271]).
% 5.92/6.37 cnf('0.321.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(X2,meet(X3,ld(X2,X1)))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.49.2.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.321.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(X2,meet(X3,ld(X2,X1)))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.321.0.0']),
% 5.92/6.37 [weight('<9,49,15,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.321.2.0',plain,
% 5.92/6.37 ( join(X1,op(X2,meet(X3,ld(X2,X1)))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.321.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_319]).
% 5.92/6.37 cnf('0.325.0.0',plain,
% 5.92/6.37 ( join(X1,op(X2,ld(X2,meet(X1,X3)))) = join(X1,meet(X1,X3)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.31.2.0','0.50.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.325.0.1',plain,
% 5.92/6.37 ( join(X1,op(X2,ld(X2,meet(X1,X3)))) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.325.0.0','0.19.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.325.1.0',plain,
% 5.92/6.37 ( join(X1,op(X2,ld(X2,meet(X1,X3)))) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.325.0.1']),
% 5.92/6.37 [weight('<9,50,31,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.325.2.0',plain,
% 5.92/6.37 ( join(X1,op(X2,ld(X2,meet(X1,X3)))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.325.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_323]).
% 5.92/6.37 cnf('0.333.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(meet(rd(X1,X2),X3),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.86.2.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.333.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(meet(rd(X1,X2),X3),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.333.0.0']),
% 5.92/6.37 [weight('<9,86,15,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.333.2.0',plain,
% 5.92/6.37 ( join(X1,op(meet(rd(X1,X2),X3),X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.333.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_331]).
% 5.92/6.37 cnf('0.334.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(meet(unit,X2),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.333.2.0','0.273.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.334.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(meet(unit,X2),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.334.0.0']),
% 5.92/6.37 [weight('<7,333,273,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.334.2.0',plain,
% 5.92/6.37 ( join(X1,op(meet(unit,X2),X1)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.334.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_332]).
% 5.92/6.37 cnf('0.345.0.0',plain,
% 5.92/6.37 ( join(X1,join(X2,op(rd(X1,X3),X3))) = join(X1,join(X2,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.37.2.0','0.87.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.345.0.1',plain,
% 5.92/6.37 ( join(X1,join(X2,op(rd(X1,X3),X3))) = join(X1,X2) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.345.0.0','0.27.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.345.1.0',plain,
% 5.92/6.37 ( join(X1,join(X2,op(rd(X1,X3),X3))) = join(X1,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.345.0.1']),
% 5.92/6.37 [weight('<9,87,37,[0,0,0,4]>')]).
% 5.92/6.37 cnf('0.345.2.0',plain,
% 5.92/6.37 ( join(X1,join(X2,op(rd(X1,X3),X3))) = join(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.345.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_343]).
% 5.92/6.37 cnf('0.349.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(X2,join(X3,op(X2,X1)))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.112.2.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.349.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(X2,join(X3,op(X2,X1)))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.349.0.0']),
% 5.92/6.37 [weight('<9,112,11,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.349.2.0',plain,
% 5.92/6.37 ( meet(X1,ld(X2,join(X3,op(X2,X1)))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.349.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_347]).
% 5.92/6.37 cnf('0.350.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(rd(X2,X1),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.349.2.0','0.87.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.350.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(rd(X2,X1),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.350.0.0']),
% 5.92/6.37 [weight('<7,349,87,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.350.2.0',plain,
% 5.92/6.37 ( meet(X1,ld(rd(X2,X1),X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.350.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_348]).
% 5.92/6.37 cnf('0.385.0.0',plain,
% 5.92/6.37 ( meet(unit,ld(X1,op(X1,ld(X2,X2)))) = meet(unit,ld(X2,X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.123.2.0','0.113.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.385.0.1',plain,
% 5.92/6.37 ( meet(unit,ld(X1,op(X1,ld(X2,X2)))) = unit ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.385.0.0','0.116.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.385.1.0',plain,
% 5.92/6.37 ( meet(unit,ld(X1,op(X1,ld(X2,X2)))) = unit ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.385.0.1']),
% 5.92/6.37 [weight('<9,123,113,[1,0,0,2]>')]).
% 5.92/6.37 cnf('0.385.2.0',plain,
% 5.92/6.37 ( meet(unit,ld(X1,op(X1,ld(X2,X2)))) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.385.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_383]).
% 5.92/6.37 cnf('0.386.0.0',plain,
% 5.92/6.37 ( op(X1,ld(X2,X2)) = join(op(X1,ld(X2,X2)),op(X1,unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.321.2.0','0.385.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.386.0.1',plain,
% 5.92/6.37 ( op(X1,ld(X2,X2)) = join(op(X1,ld(X2,X2)),X1) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.386.0.0','0.9.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.386.1.0',plain,
% 5.92/6.37 ( op(X1,ld(X2,X2)) = join(op(X1,ld(X2,X2)),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.386.0.1']),
% 5.92/6.37 [weight('<7,385,321,[0,0,0,4]>')]).
% 5.92/6.37 cnf('0.386.1.1',plain,
% 5.92/6.37 ( op(X1,ld(X2,X2)) = join(X1,op(X1,ld(X2,X2))) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.386.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.386.2.0',plain,
% 5.92/6.37 ( join(X1,op(X1,ld(X2,X2))) = op(X1,ld(X2,X2)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.386.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_384]).
% 5.92/6.37 cnf('0.387.0.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,X1)) = X1 ),
% 5.92/6.37 inference(cp,[status(thm)],['0.386.2.0','0.50.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.387.1.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,X1)) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.387.0.0']),
% 5.92/6.37 [weight('<5,386,50,[1,0,0,0]>')]).
% 5.92/6.37 cnf('0.387.2.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,X1)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.387.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_385]).
% 5.92/6.37 cnf('0.389.0.0',plain,
% 5.92/6.37 ( join(X1,rd(X1,ld(X2,X2))) = join(X1,op(rd(X1,ld(X2,X2)),ld(X2,X2))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.345.2.0','0.386.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.389.0.1',plain,
% 5.92/6.37 ( join(X1,rd(X1,ld(X2,X2))) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.389.0.0','0.87.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.389.1.0',plain,
% 5.92/6.37 ( join(X1,rd(X1,ld(X2,X2))) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.389.0.1']),
% 5.92/6.37 [weight('<7,386,345,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.389.2.0',plain,
% 5.92/6.37 ( join(X1,rd(X1,ld(X2,X2))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.389.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_387]).
% 5.92/6.37 cnf('0.391.0.0',plain,
% 5.92/6.37 ( rd(X1,ld(X2,X2)) = meet(rd(X1,ld(X2,X2)),X1) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.26.2.0','0.389.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.391.1.0',plain,
% 5.92/6.37 ( rd(X1,ld(X2,X2)) = meet(rd(X1,ld(X2,X2)),X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.391.0.0']),
% 5.92/6.37 [weight('<7,389,26,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.391.1.1',plain,
% 5.92/6.37 ( rd(X1,ld(X2,X2)) = meet(X1,rd(X1,ld(X2,X2))) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.391.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.391.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(X1,ld(X2,X2))) = rd(X1,ld(X2,X2)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.391.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_389]).
% 5.92/6.37 cnf('0.459.0.0',plain,
% 5.92/6.37 ( ld(X1,X1) = join(op(rd(unit,X2),X2),ld(X1,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.145.2.0','0.91.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.459.1.0',plain,
% 5.92/6.37 ( ld(X1,X1) = join(op(rd(unit,X2),X2),ld(X1,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.459.0.0']),
% 5.92/6.37 [weight('<9,145,91,[1,0,0,1]>')]).
% 5.92/6.37 cnf('0.459.2.0',plain,
% 5.92/6.37 ( join(op(rd(unit,X1),X1),ld(X2,X2)) = ld(X2,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.459.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_457]).
% 5.92/6.37 cnf('0.474.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(join(X2,op(X1,X3)),X3)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.149.2.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.474.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(join(X2,op(X1,X3)),X3)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.474.0.0']),
% 5.92/6.37 [weight('<9,149,11,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.474.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(join(X2,op(X1,X3)),X3)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_472]).
% 5.92/6.37 cnf('0.475.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(X2,ld(X1,X2))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.474.2.0','0.50.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.475.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(X2,ld(X1,X2))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.475.0.0']),
% 5.92/6.37 [weight('<7,474,50,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.475.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(X2,ld(X1,X2))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.475.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_473]).
% 5.92/6.37 cnf('0.526.0.0',plain,
% 5.92/6.37 ( meet(unit,rd(op(rd(X1,X1),X2),X2)) = meet(unit,rd(X1,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.156.2.0','0.150.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.526.0.1',plain,
% 5.92/6.37 ( meet(unit,rd(op(rd(X1,X1),X2),X2)) = unit ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.526.0.0','0.152.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.526.1.0',plain,
% 5.92/6.37 ( meet(unit,rd(op(rd(X1,X1),X2),X2)) = unit ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.526.0.1']),
% 5.92/6.37 [weight('<9,156,150,[1,0,0,2]>')]).
% 5.92/6.37 cnf('0.526.2.0',plain,
% 5.92/6.37 ( meet(unit,rd(op(rd(X1,X1),X2),X2)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.526.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_524]).
% 5.92/6.37 cnf('0.527.0.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),X2) = join(op(rd(X1,X1),X2),op(unit,X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.86.2.0','0.526.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.527.0.1',plain,
% 5.92/6.37 ( op(rd(X1,X1),X2) = join(op(rd(X1,X1),X2),X2) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.527.0.0','0.10.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.527.1.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),X2) = join(op(rd(X1,X1),X2),X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.527.0.1']),
% 5.92/6.37 [weight('<7,526,86,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.527.1.1',plain,
% 5.92/6.37 ( op(rd(X1,X1),X2) = join(X2,op(rd(X1,X1),X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.527.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.527.2.0',plain,
% 5.92/6.37 ( join(X1,op(rd(X2,X2),X1)) = op(rd(X2,X2),X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.527.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_525]).
% 5.92/6.37 cnf('0.528.0.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),X1) = X1 ),
% 5.92/6.37 inference(cp,[status(thm)],['0.527.2.0','0.87.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.528.1.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),X1) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.528.0.0']),
% 5.92/6.37 [weight('<5,527,87,[1,0,0,0]>')]).
% 5.92/6.37 cnf('0.528.2.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),X1) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.528.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_526]).
% 5.92/6.37 cnf('0.531.0.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),op(X1,X2)) = op(X1,X2) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.17.2.0','0.528.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.531.1.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),op(X1,X2)) = op(X1,X2) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.531.0.0']),
% 5.92/6.37 [weight('<7,528,17,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.531.2.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),op(X1,X2)) = op(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.531.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_529]).
% 5.92/6.37 cnf('0.534.0.0',plain,
% 5.92/6.37 ( op(X1,ld(X1,unit)) = op(rd(X1,X1),at(X1,unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.531.2.0','0.179.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.534.0.1',plain,
% 5.92/6.37 ( at(X1,unit) = op(rd(X1,X1),at(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.534.0.0','0.179.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.534.1.0',plain,
% 5.92/6.37 ( at(X1,unit) = op(rd(X1,X1),at(X1,unit)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.534.0.1']),
% 5.92/6.37 [weight('<7,531,179,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.534.2.0',plain,
% 5.92/6.37 ( op(rd(X1,X1),at(X1,unit)) = at(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.534.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_532]).
% 5.92/6.37 cnf('0.535.0.0',plain,
% 5.92/6.37 ( rd(X1,X1) = meet(rd(X1,X1),rd(at(X1,unit),at(X1,unit))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.150.2.0','0.534.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.535.0.1',plain,
% 5.92/6.37 ( rd(X1,X1) = meet(rd(X1,X1),unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.535.0.0','0.187.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.535.1.0',plain,
% 5.92/6.37 ( rd(X1,X1) = meet(rd(X1,X1),unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.535.0.1']),
% 5.92/6.37 [weight('<5,534,150,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.535.1.1',plain,
% 5.92/6.37 ( rd(X1,X1) = meet(unit,rd(X1,X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.535.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.535.1.2',plain,
% 5.92/6.37 ( rd(X1,X1) = unit ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.535.1.1','0.152.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.535.2.0',plain,
% 5.92/6.37 ( rd(X1,X1) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.535.1.2',theory(equality)]),
% 5.92/6.37 [u,rule_533]).
% 5.92/6.37 cnf('0.686.0.0',plain,
% 5.92/6.37 ( join(X1,op(at(X2,unit),meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.31.2.0','0.213.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.686.0.1',plain,
% 5.92/6.37 ( join(X1,op(at(X2,unit),meet(X1,X3))) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.686.0.0','0.19.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.686.1.0',plain,
% 5.92/6.37 ( join(X1,op(at(X2,unit),meet(X1,X3))) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.686.0.1']),
% 5.92/6.37 [weight('<9,213,31,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.686.2.0',plain,
% 5.92/6.37 ( join(X1,op(at(X2,unit),meet(X1,X3))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.686.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_684]).
% 5.92/6.37 cnf('0.1055.0.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(op(rd(unit,X2),X2),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.334.2.0','0.91.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.1055.0.1',plain,
% 5.92/6.37 ( X1 = join(X1,op(rd(unit,X2),op(X2,X1))) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.1055.0.0','0.17.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.1055.1.0',plain,
% 5.92/6.37 ( X1 = join(X1,op(rd(unit,X2),op(X2,X1))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1055.0.1']),
% 5.92/6.37 [weight('<9,334,91,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.1055.2.0',plain,
% 5.92/6.37 ( join(X1,op(rd(unit,X2),op(X2,X1))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1055.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1052]).
% 5.92/6.37 cnf('0.1099.0.0',plain,
% 5.92/6.37 ( ld(X1,join(X2,op(X1,X3))) = join(ld(X1,join(X2,op(X1,X3))),X3) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.25.2.0','0.349.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.1099.1.0',plain,
% 5.92/6.37 ( ld(X1,join(X2,op(X1,X3))) = join(ld(X1,join(X2,op(X1,X3))),X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1099.0.0']),
% 5.92/6.37 [weight('<9,349,25,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.1099.1.1',plain,
% 5.92/6.37 ( ld(X1,join(X2,op(X1,X3))) = join(X3,ld(X1,join(X2,op(X1,X3)))) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.1099.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.1099.2.0',plain,
% 5.92/6.37 ( join(X1,ld(X2,join(X3,op(X2,X1)))) = ld(X2,join(X3,op(X2,X1))) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1099.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_1096]).
% 5.92/6.37 cnf('0.1100.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(meet(X2,rd(X3,X1)),X3)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.349.2.0','0.86.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.1100.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,ld(meet(X2,rd(X3,X1)),X3)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1100.0.0']),
% 5.92/6.37 [weight('<9,349,86,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.1100.2.0',plain,
% 5.92/6.37 ( meet(X1,ld(meet(X2,rd(X3,X1)),X3)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1100.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1097]).
% 5.92/6.37 cnf('0.1107.0.0',plain,
% 5.92/6.37 ( meet(X1,meet(ld(rd(X2,X1),X2),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.16.2.0','0.350.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.1107.1.0',plain,
% 5.92/6.37 ( meet(X1,meet(ld(rd(X2,X1),X2),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1107.0.0']),
% 5.92/6.37 [weight('<9,350,16,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.1107.2.0',plain,
% 5.92/6.37 ( meet(X1,meet(ld(rd(X2,X1),X2),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1107.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_1104]).
% 5.92/6.37 cnf('0.1289.0.0',plain,
% 5.92/6.37 ( rd(unit,X1) = meet(rd(unit,X1),rd(ld(X2,X2),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.149.2.0','0.459.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.1289.1.0',plain,
% 5.92/6.37 ( rd(unit,X1) = meet(rd(unit,X1),rd(ld(X2,X2),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1289.0.0']),
% 5.92/6.37 [weight('<9,459,149,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.1289.2.0',plain,
% 5.92/6.37 ( meet(rd(unit,X1),rd(ld(X2,X2),X1)) = rd(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1289.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1286]).
% 5.92/6.37 cnf('0.1302.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(X2,ld(X1,meet(X2,X3)))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.474.2.0','0.325.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.1302.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(X2,ld(X1,meet(X2,X3)))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1302.0.0']),
% 5.92/6.37 [weight('<9,474,325,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.1302.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(X2,ld(X1,meet(X2,X3)))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1302.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1299]).
% 5.92/6.37 cnf('0.1303.0.0',plain,
% 5.92/6.37 ( rd(meet(X1,X2),X1) = meet(rd(meet(X1,X2),X1),rd(X1,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1302.2.0','0.246.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.1303.0.1',plain,
% 5.92/6.37 ( rd(meet(X1,X2),X1) = meet(rd(meet(X1,X2),X1),unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.1303.0.0','0.535.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.1303.1.0',plain,
% 5.92/6.37 ( rd(meet(X1,X2),X1) = meet(rd(meet(X1,X2),X1),unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1303.0.1']),
% 5.92/6.37 [weight('<7,1302,246,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.1303.1.1',plain,
% 5.92/6.37 ( rd(meet(X1,X2),X1) = meet(unit,rd(meet(X1,X2),X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.1303.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.1303.2.0',plain,
% 5.92/6.37 ( meet(unit,rd(meet(X1,X2),X1)) = rd(meet(X1,X2),X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1303.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_1300]).
% 5.92/6.37 cnf('0.1305.0.0',plain,
% 5.92/6.37 ( unit = join(unit,rd(meet(X1,X2),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.19.2.0','0.1303.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.1305.1.0',plain,
% 5.92/6.37 ( unit = join(unit,rd(meet(X1,X2),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1305.0.0']),
% 5.92/6.37 [weight('<7,1303,19,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.1305.2.0',plain,
% 5.92/6.37 ( join(unit,rd(meet(X1,X2),X1)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1305.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1302]).
% 5.92/6.37 cnf('0.1319.0.0',plain,
% 5.92/6.37 ( meet(X1,meet(rd(X2,ld(X1,X2)),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.16.2.0','0.475.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.1319.1.0',plain,
% 5.92/6.37 ( meet(X1,meet(rd(X2,ld(X1,X2)),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1319.0.0']),
% 5.92/6.37 [weight('<9,475,16,[0,0,0,1]>')]).
% 5.92/6.37 cnf('0.1319.2.0',plain,
% 5.92/6.37 ( meet(X1,meet(rd(X2,ld(X1,X2)),X3)) = meet(X1,X3) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1319.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_1316]).
% 5.92/6.37 cnf('0.1326.0.0',plain,
% 5.92/6.37 ( ld(X1,unit) = meet(ld(X1,unit),rd(unit,at(unit,X1))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.475.2.0','0.117.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.1326.1.0',plain,
% 5.92/6.37 ( ld(X1,unit) = meet(ld(X1,unit),rd(unit,at(unit,X1))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1326.0.0']),
% 5.92/6.37 [weight('<9,475,117,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.1326.2.0',plain,
% 5.92/6.37 ( meet(ld(X1,unit),rd(unit,at(unit,X1))) = ld(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1326.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1323]).
% 5.92/6.37 cnf('0.1642.0.0',plain,
% 5.92/6.37 ( rd(unit,X1) = meet(rd(unit,X1),rd(X2,op(X1,X2))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.474.2.0','0.1055.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.1642.1.0',plain,
% 5.92/6.37 ( rd(unit,X1) = meet(rd(unit,X1),rd(X2,op(X1,X2))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1642.0.0']),
% 5.92/6.37 [weight('<9,1055,474,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.1642.2.0',plain,
% 5.92/6.37 ( meet(rd(unit,X1),rd(X2,op(X1,X2))) = rd(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1642.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1635]).
% 5.92/6.37 cnf('0.1647.0.0',plain,
% 5.92/6.37 ( ld(meet(X1,rd(X2,X3)),join(X2,op(meet(X1,rd(X2,X3)),X3))) = join(X3,ld(meet(X1,rd(X2,X3)),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1099.2.0','0.86.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.1647.0.1',plain,
% 5.92/6.37 ( ld(meet(X1,rd(X2,X3)),X2) = join(X3,ld(meet(X1,rd(X2,X3)),X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.1647.0.0','0.86.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.1647.1.0',plain,
% 5.92/6.37 ( ld(meet(X1,rd(X2,X3)),X2) = join(X3,ld(meet(X1,rd(X2,X3)),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1647.0.1']),
% 5.92/6.37 [weight('<9,1099,86,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.1647.2.0',plain,
% 5.92/6.37 ( join(X1,ld(meet(X2,rd(X3,X1)),X3)) = ld(meet(X2,rd(X3,X1)),X3) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1647.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1640]).
% 5.92/6.37 cnf('0.1650.0.0',plain,
% 5.92/6.37 ( ld(meet(rd(X1,X2),X3),join(X1,op(meet(rd(X1,X2),X3),X2))) = join(X2,ld(meet(rd(X1,X2),X3),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1099.2.0','0.333.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.1650.0.1',plain,
% 5.92/6.37 ( ld(meet(rd(X1,X2),X3),X1) = join(X2,ld(meet(rd(X1,X2),X3),X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.1650.0.0','0.333.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.1650.1.0',plain,
% 5.92/6.37 ( ld(meet(rd(X1,X2),X3),X1) = join(X2,ld(meet(rd(X1,X2),X3),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1650.0.1']),
% 5.92/6.37 [weight('<9,1099,333,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.1650.2.0',plain,
% 5.92/6.37 ( join(X1,ld(meet(rd(X2,X1),X3),X2)) = ld(meet(rd(X2,X1),X3),X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1650.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1643]).
% 5.92/6.37 cnf('0.1660.0.0',plain,
% 5.92/6.37 ( ld(rd(unit,X1),join(X2,op(rd(unit,X1),op(X1,X2)))) = join(op(X1,X2),ld(rd(unit,X1),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1099.2.0','0.1055.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.1660.0.1',plain,
% 5.92/6.37 ( ld(rd(unit,X1),X2) = join(op(X1,X2),ld(rd(unit,X1),X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.1660.0.0','0.1055.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.1660.1.0',plain,
% 5.92/6.37 ( ld(rd(unit,X1),X2) = join(op(X1,X2),ld(rd(unit,X1),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1660.0.1']),
% 5.92/6.37 [weight('<9,1099,1055,[1,0,0,4]>')]).
% 5.92/6.37 cnf('0.1660.2.0',plain,
% 5.92/6.37 ( join(op(X1,X2),ld(rd(unit,X1),X2)) = ld(rd(unit,X1),X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1660.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1653]).
% 5.92/6.37 cnf('0.1918.0.0',plain,
% 5.92/6.37 ( unit = join(unit,rd(op(rd(X1,X2),X2),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1305.2.0','0.91.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.1918.1.0',plain,
% 5.92/6.37 ( unit = join(unit,rd(op(rd(X1,X2),X2),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.1918.0.0']),
% 5.92/6.37 [weight('<9,1305,91,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.1918.2.0',plain,
% 5.92/6.37 ( join(unit,rd(op(rd(X1,X2),X2),X1)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.1918.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_1911]).
% 5.92/6.37 cnf('0.2079.0.0',plain,
% 5.92/6.37 ( meet(X1,rd(unit,at(unit,rd(unit,X1)))) = meet(X1,ld(rd(unit,X1),unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1107.2.0','0.1326.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.2079.0.1',plain,
% 5.92/6.37 ( meet(X1,rd(unit,at(unit,rd(unit,X1)))) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.2079.0.0','0.350.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.2079.1.0',plain,
% 5.92/6.37 ( meet(X1,rd(unit,at(unit,rd(unit,X1)))) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2079.0.1']),
% 5.92/6.37 [weight('<9,1326,1107,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.2079.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(unit,at(unit,rd(unit,X1)))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2079.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_2072]).
% 5.92/6.37 cnf('0.2353.0.0',plain,
% 5.92/6.37 ( meet(X1,rd(X2,op(ld(X1,unit),X2))) = meet(X1,rd(unit,ld(X1,unit))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1319.2.0','0.1642.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.2353.0.1',plain,
% 5.92/6.37 ( meet(X1,rd(X2,op(ld(X1,unit),X2))) = X1 ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.2353.0.0','0.475.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.2353.1.0',plain,
% 5.92/6.37 ( meet(X1,rd(X2,op(ld(X1,unit),X2))) = X1 ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2353.0.1']),
% 5.92/6.37 [weight('<9,1642,1319,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.2353.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(X2,op(ld(X1,unit),X2))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2353.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_2345]).
% 5.92/6.37 cnf('0.2363.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(ld(rd(unit,X1),X2),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.149.2.0','0.1660.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.2363.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(ld(rd(unit,X1),X2),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2363.0.0']),
% 5.92/6.37 [weight('<9,1660,149,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.2363.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(ld(rd(unit,X1),X2),X2)) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2363.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_2355]).
% 5.92/6.37 cnf('0.2446.0.0',plain,
% 5.92/6.37 ( at(unit,rd(unit,X1)) = meet(at(unit,rd(unit,X1)),ld(X1,unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1100.2.0','0.2079.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.2446.1.0',plain,
% 5.92/6.37 ( at(unit,rd(unit,X1)) = meet(at(unit,rd(unit,X1)),ld(X1,unit)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2446.0.0']),
% 5.92/6.37 [weight('<9,2079,1100,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.2446.1.1',plain,
% 5.92/6.37 ( at(unit,rd(unit,X1)) = meet(ld(X1,unit),at(unit,rd(unit,X1))) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.2446.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.2446.2.0',plain,
% 5.92/6.37 ( meet(ld(X1,unit),at(unit,rd(unit,X1))) = at(unit,rd(unit,X1)) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2446.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_2438]).
% 5.92/6.37 cnf('0.2673.0.0',plain,
% 5.92/6.37 ( ld(meet(X1,rd(X2,op(ld(X1,unit),X2))),X2) = join(op(ld(X1,unit),X2),ld(X1,X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1647.2.0','0.2353.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.2673.0.1',plain,
% 5.92/6.37 ( ld(X1,X2) = join(op(ld(X1,unit),X2),ld(X1,X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.2673.0.0','0.2353.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.2673.1.0',plain,
% 5.92/6.37 ( ld(X1,X2) = join(op(ld(X1,unit),X2),ld(X1,X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2673.0.1']),
% 5.92/6.37 [weight('<9,2353,1647,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.2673.1.1',plain,
% 5.92/6.37 ( ld(X1,X2) = join(ld(X1,X2),op(ld(X1,unit),X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.2673.1.0','0.11.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.2673.2.0',plain,
% 5.92/6.37 ( join(ld(X1,X2),op(ld(X1,unit),X2)) = ld(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2673.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_2665]).
% 5.92/6.37 cnf('0.2748.0.0',plain,
% 5.92/6.37 ( ld(X1,unit) = join(ld(X1,unit),op(at(X2,unit),at(unit,rd(unit,X1)))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.686.2.0','0.2446.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.2748.0.1',plain,
% 5.92/6.37 ( ld(X1,unit) = join(ld(X1,unit),at(X2,rd(unit,X1))) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.2748.0.0','0.183.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.2748.1.0',plain,
% 5.92/6.37 ( ld(X1,unit) = join(ld(X1,unit),at(X2,rd(unit,X1))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2748.0.1']),
% 5.92/6.37 [weight('<9,2446,686,[0,0,0,6]>')]).
% 5.92/6.37 cnf('0.2748.2.0',plain,
% 5.92/6.37 ( join(ld(X1,unit),at(X2,rd(unit,X1))) = ld(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2748.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_2740]).
% 5.92/6.37 cnf('0.2767.0.0',plain,
% 5.92/6.37 ( ld(X1,unit) = meet(ld(X1,unit),rd(ld(X1,X2),X2)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.474.2.0','0.2673.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.2767.1.0',plain,
% 5.92/6.37 ( ld(X1,unit) = meet(ld(X1,unit),rd(ld(X1,X2),X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.2767.0.0']),
% 5.92/6.37 [weight('<9,2673,474,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.2767.2.0',plain,
% 5.92/6.37 ( meet(ld(X1,unit),rd(ld(X1,X2),X2)) = ld(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.2767.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_2759]).
% 5.92/6.37 cnf('0.3087.0.0',plain,
% 5.92/6.37 ( op(X1,X2) = meet(op(X1,X2),rd(op(X1,op(X2,X3)),X3)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.150.2.0','0.17.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.3087.1.0',plain,
% 5.92/6.37 ( op(X1,X2) = meet(op(X1,X2),rd(op(X1,op(X2,X3)),X3)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3087.0.0']),
% 5.92/6.37 [weight('<11,150,17,[1,0,0,3]>')]).
% 5.92/6.37 cnf('0.3087.2.0',plain,
% 5.92/6.37 ( meet(op(X1,X2),rd(op(X1,op(X2,X3)),X3)) = op(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3087.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3079]).
% 5.92/6.37 cnf('0.3088.0.0',plain,
% 5.92/6.37 ( op(X1,X2) = meet(op(X1,X2),rd(op(X1,X2),ld(X2,X2))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.3087.2.0','0.387.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1.2','L')]).
% 5.92/6.37 cnf('0.3088.0.1',plain,
% 5.92/6.37 ( op(X1,X2) = rd(op(X1,X2),ld(X2,X2)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3088.0.0','0.391.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.3088.1.0',plain,
% 5.92/6.37 ( op(X1,X2) = rd(op(X1,X2),ld(X2,X2)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3088.0.1']),
% 5.92/6.37 [weight('<7,3087,387,[1,0,0,7]>')]).
% 5.92/6.37 cnf('0.3088.2.0',plain,
% 5.92/6.37 ( rd(op(X1,X2),ld(X2,X2)) = op(X1,X2) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3088.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3080]).
% 5.92/6.37 cnf('0.3092.0.0',plain,
% 5.92/6.37 ( unit = join(unit,op(rd(ld(X1,X1),X1),X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1918.2.0','0.3088.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.3092.1.0',plain,
% 5.92/6.37 ( unit = join(unit,op(rd(ld(X1,X1),X1),X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3092.0.0']),
% 5.92/6.37 [weight('<9,3088,1918,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.3092.2.0',plain,
% 5.92/6.37 ( join(unit,op(rd(ld(X1,X1),X1),X1)) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3092.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3084]).
% 5.92/6.37 cnf('0.3094.0.0',plain,
% 5.92/6.37 ( rd(ld(X1,X1),X1) = meet(rd(ld(X1,X1),X1),rd(unit,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.474.2.0','0.3092.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.3094.1.0',plain,
% 5.92/6.37 ( rd(ld(X1,X1),X1) = meet(rd(ld(X1,X1),X1),rd(unit,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3094.0.0']),
% 5.92/6.37 [weight('<9,3092,474,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.3094.1.1',plain,
% 5.92/6.37 ( rd(ld(X1,X1),X1) = meet(rd(unit,X1),rd(ld(X1,X1),X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3094.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.3094.1.2',plain,
% 5.92/6.37 ( rd(ld(X1,X1),X1) = rd(unit,X1) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3094.1.1','0.1289.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.3094.2.0',plain,
% 5.92/6.37 ( rd(ld(X1,X1),X1) = rd(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3094.1.2',theory(equality)]),
% 5.92/6.37 [u,rule_3086]).
% 5.92/6.37 cnf('0.3095.0.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(unit,rd(unit,X1))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.2363.2.0','0.3094.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.3095.1.0',plain,
% 5.92/6.37 ( X1 = meet(X1,rd(unit,rd(unit,X1))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3095.0.0']),
% 5.92/6.37 [weight('<7,3094,2363,[0,0,0,2]>')]).
% 5.92/6.37 cnf('0.3095.2.0',plain,
% 5.92/6.37 ( meet(X1,rd(unit,rd(unit,X1))) = X1 ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3095.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3087]).
% 5.92/6.37 cnf('0.3097.0.0',plain,
% 5.92/6.37 ( ld(X1,unit) = meet(ld(X1,unit),rd(unit,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.2767.2.0','0.3094.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2','L')]).
% 5.92/6.37 cnf('0.3097.1.0',plain,
% 5.92/6.37 ( ld(X1,unit) = meet(ld(X1,unit),rd(unit,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3097.0.0']),
% 5.92/6.37 [weight('<7,3094,2767,[0,0,0,4]>')]).
% 5.92/6.37 cnf('0.3097.1.1',plain,
% 5.92/6.37 ( ld(X1,unit) = meet(rd(unit,X1),ld(X1,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3097.1.0','0.15.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.3097.2.0',plain,
% 5.92/6.37 ( meet(rd(unit,X1),ld(X1,unit)) = ld(X1,unit) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3097.1.1',theory(equality)]),
% 5.92/6.37 [x,rule_3089]).
% 5.92/6.37 cnf('0.3100.0.0',plain,
% 5.92/6.37 ( ld(meet(rd(unit,X1),ld(X1,unit)),unit) = join(X1,ld(ld(X1,unit),unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.1650.2.0','0.3097.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.3100.0.1',plain,
% 5.92/6.37 ( ld(ld(X1,unit),unit) = join(X1,ld(ld(X1,unit),unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3100.0.0','0.3097.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.3100.0.2',plain,
% 5.92/6.37 ( at(unit,X1) = join(X1,ld(ld(X1,unit),unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3100.0.1','0.117.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.3100.0.3',plain,
% 5.92/6.37 ( at(unit,X1) = join(X1,at(unit,X1)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3100.0.2','0.117.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('0.3100.1.0',plain,
% 5.92/6.37 ( at(unit,X1) = join(X1,at(unit,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3100.0.3']),
% 5.92/6.37 [weight('<5,3097,1650,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.3100.2.0',plain,
% 5.92/6.37 ( join(X1,at(unit,X1)) = at(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3100.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3092]).
% 5.92/6.37 cnf('0.3113.0.0',plain,
% 5.92/6.37 ( unit = join(unit,op(X1,rd(unit,X1))) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.86.2.0','0.3095.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.1','L')]).
% 5.92/6.37 cnf('0.3113.1.0',plain,
% 5.92/6.37 ( unit = join(unit,op(X1,rd(unit,X1))) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3113.0.0']),
% 5.92/6.37 [weight('<7,3095,86,[0,0,0,3]>')]).
% 5.92/6.37 cnf('0.3113.2.0',plain,
% 5.92/6.37 ( join(unit,op(X1,rd(unit,X1))) = unit ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3113.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3105]).
% 5.92/6.37 cnf('0.3114.0.0',plain,
% 5.92/6.37 ( rd(unit,X1) = meet(rd(unit,X1),ld(X1,unit)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.349.2.0','0.3113.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.2.2','L')]).
% 5.92/6.37 cnf('0.3114.0.1',plain,
% 5.92/6.37 ( rd(unit,X1) = ld(X1,unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3114.0.0','0.3097.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.3114.1.0',plain,
% 5.92/6.37 ( rd(unit,X1) = ld(X1,unit) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3114.0.1']),
% 5.92/6.37 [weight('<3,3113,349,[0,0,0,4]>')]).
% 5.92/6.37 cnf('0.3114.2.0',plain,
% 5.92/6.37 ( ld(X1,unit) = rd(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3114.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3106]).
% 5.92/6.37 cnf('0.3228.0.0',plain,
% 5.92/6.37 ( join(ld(X1,unit),at(X2,rd(unit,X1))) = ld(X1,unit) ),
% 5.92/6.37 inference(interreduction_right,[status(thm)],['0.2748.2.0'])).
% 5.92/6.37 cnf('0.3228.0.1',plain,
% 5.92/6.37 ( join(rd(unit,X1),at(X2,rd(unit,X1))) = ld(X1,unit) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3228.0.0','0.3114.2.0',theory(equality)]),
% 5.92/6.37 [pos('L.1','L')]).
% 5.92/6.37 cnf('0.3228.0.2',plain,
% 5.92/6.37 ( join(rd(unit,X1),at(X2,rd(unit,X1))) = rd(unit,X1) ),
% 5.92/6.37 inference(reduction,[status(thm)],['0.3228.0.1','0.3114.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('0.3228.1.0',plain,
% 5.92/6.37 ( join(rd(unit,X1),at(X2,rd(unit,X1))) = rd(unit,X1) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3228.0.2']),
% 5.92/6.37 [weight('<9,2748,3114,[0,0,0,0]>')]).
% 5.92/6.37 cnf('0.3228.2.0',plain,
% 5.92/6.37 ( join(rd(unit,X1),at(X2,rd(unit,X1))) = rd(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3228.1.0',theory(equality)]),
% 5.92/6.37 [u,rule_3220]).
% 5.92/6.37 cnf('0.3229.0.0',plain,
% 5.92/6.37 ( rd(unit,X1) = at(unit,rd(unit,X1)) ),
% 5.92/6.37 inference(cp,[status(thm)],['0.3228.2.0','0.3100.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('0.3229.1.0',plain,
% 5.92/6.37 ( rd(unit,X1) = at(unit,rd(unit,X1)) ),
% 5.92/6.37 inference(weigh,[status(thm)],['0.3229.0.0']),
% 5.92/6.37 [weight('<5,3228,3100,[1,0,0,0]>')]).
% 5.92/6.37 cnf('0.3229.2.0',plain,
% 5.92/6.37 ( at(unit,rd(unit,X1)) = rd(unit,X1) ),
% 5.92/6.37 inference(orient,[status(thm)],['0.3229.1.0',theory(equality)]),
% 5.92/6.37 [x,rule_3221]).
% 5.92/6.37 cnf('1.0.0.0',conjecture,
% 5.92/6.37 ( ld(x,unit) = at(unit,ld(x,unit)) ),
% 5.92/6.37 file('/tmp/WALDMEISTER_21192_n027',conjecture_1)).
% 5.92/6.37 cnf('1.0.0.1',plain,
% 5.92/6.37 ( rd(unit,x) = at(unit,ld(x,unit)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['1.0.0.0','0.3114.2.0',theory(equality)]),
% 5.92/6.37 [pos('L','L')]).
% 5.92/6.37 cnf('1.0.0.2',plain,
% 5.92/6.37 ( rd(unit,x) = at(unit,rd(unit,x)) ),
% 5.92/6.37 inference(reduction,[status(thm)],['1.0.0.1','0.3114.2.0',theory(equality)]),
% 5.92/6.37 [pos('R.2','L')]).
% 5.92/6.37 cnf('1.0.0.3',plain,
% 5.92/6.37 ( rd(unit,x) = rd(unit,x) ),
% 5.92/6.37 inference(reduction,[status(thm)],['1.0.0.2','0.3229.2.0',theory(equality)]),
% 5.92/6.37 [pos('R','L')]).
% 5.92/6.37 cnf('1.0.0.4',plain,
% 5.92/6.37 ( $true ),
% 5.92/6.37 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 5.92/6.37 [conjecture_1]).
% 5.92/6.37
% 5.92/6.37 Proved Goals:
% 5.92/6.37 No. 1: ld(x,unit) ?= at(unit,ld(x,unit)) joined, current: rd(unit,x) = rd(unit,x)
% 5.92/6.37 1 goal was specified, which was proved.
% 5.92/6.37 % SZS output end CNFRefutation
% 5.92/6.37 #END OF PROOF
% 5.92/6.37
% 5.92/6.37 Problem WALDMEISTER_21192_n027
% 5.92/6.37 CPs.gen 2601294
% 5.92/6.37 CPs.reexp 0
% 5.92/6.37 Select 132918
% 5.92/6.37 R 3221
% 5.92/6.37 E 8
% 5.92/6.37 vsize 10.5M
% 5.92/6.37 rss 6.0M
% 5.92/6.37 process.time 5.404s
% 5.92/6.37 wallclock.time 5.404s
% 5.92/6.37 status S
% 5.92/6.37
% 5.92/6.37
% 5.92/6.37 Waldmeister states: Goal proved.
% 5.92/6.37 % SZS status Unsatisfiable
%------------------------------------------------------------------------------